JEF2 LIBRARY, DUMMY TAPE HEADER 25 1.000000+3 9.992420-1 -1 0 2 2 100 1451 1 0.000000+0 0.000000+0 0 0 0 6 100 1451 2 0.000000+0 0.000000+0 0 0 3 2 100 1451 3 0.000000+0 0.000000+0 0 0 125 13 100 1451 4 1-H LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 100 1451 6 ----JEF-2 MATERIAL 100 REVISION 0 100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 100 1451 8 ------ENDF-6 FORMAT 100 1451 9 ****************************************************************** 100 1451 10 * JEF-2 * 100 1451 11 * DATA TAKEN FROM EPDL * 100 1451 12 ****************************************************************** 100 1451 13 ================================================================= 100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 100 1451 15 ENDF/B-VI FORMAT 100 1451 16 ================================================================= 100 1451 17 CONTENTS 100 1451 18 ================================================================= 100 1451 19 MF/MT DESCRIPTION 100 1451 20 ================================================================= 100 1451 21 23/501 TOTAL CROSS SECTION 100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 100 1451 29 ================================================================= 100 1451 30 27/502 COHERENT SCATTERING FORM FACTORS 100 1451 31 27/504 INCOHERENT SCATTERING FUNCTIONS 100 1451 32 27/505 COHERENT IMAGINARY SCATTERING FACTOR 100 1451 33 27/506 COHERENT REAL SCATTERING FACTOR 100 1451 34 ================================================================= 100 1451 35 WARNING 100 1451 36 ================================================================= 100 1451 37 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 100 1451 38 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 100 1451 39 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 100 1451 40 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 100 1451 41 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 100 1451 42 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 100 1451 43 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 100 1451 44 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 100 1451 45 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 100 1451 46 ================================================================= 100 1451 47 DEFINITION OF NEW TYPES OF DATA 100 1451 48 ================================================================= 100 1451 49 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 100 1451 50 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 100 1451 51 100 1451 52 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 100 1451 53 C2 FIELDS ARE, 100 1451 54 100 1451 55 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 100 1451 56 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 100 1451 57 100 1451 58 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 100 1451 59 100 1451 60 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 100 1451 61 100 1451 62 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 100 1451 63 T = THE THOMSON CROSS SECTION 100 1451 64 MU = THE COSINE OF THE SCATTERING ANGLE 100 1451 65 FF(M) = THE ATOMIC FORM FACTOR 100 1451 66 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 100 1451 67 F1(E) = THE REAL SCATTERING FACTOR 100 1451 68 F2(E) = THE IMAGINARY SCATTERING FACTOR 100 1451 69 100 1451 70 F1(E) AND F2(E) ARE ISOTROPIC. 100 1451 71 100 1451 72 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 100 1451 73 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 100 1451 74 ================================================================= 100 1451 75 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 100 1451 76 ================================================================= 100 1451 77 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 100 1451 78 HERE - 10 EV TO 100 MEV 100 1451 79 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 100 1451 80 - FLUORESCENCE AND ELECTRON SPECTRA 100 1451 81 HERE - PHOTON INTERACTION 100 1451 82 - AVERAGE FLUORESCENCE YIELD 100 1451 83 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 100 1451 84 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 100 1451 85 HERE - NO SECONDARY ENERGY DATA 100 1451 86 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 100 1451 87 INTERPOLABLE - SUMMATION CROSS SECTIONS 100 1451 88 (E.G., TOTAL) ARE NOT INCLUDED 100 1451 89 - FORM FACTORS ARE LOG X VS. LOG Y 100 1451 90 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 100 1451 91 - SCATTERING FACTORS LINEARLY INTERPOLABLE 100 1451 92 (SINCE THEY CAN BE NEGATIVE). 100 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 100 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 100 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 100 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 100 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 100 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 100 1451 99 - SCATTERING FACTORS LINEARLY INTERPOLABLE 100 1451 100 ================================================================= 100 1451 101 REFERENCES 100 1451 102 ================================================================= 100 1451 103 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 100 1451 104 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 100 1451 105 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 100 1451 106 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 100 1451 107 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 100 1451 108 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 100 1451 109 100 1451 110 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 100 1451 111 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 100 1451 112 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 100 1451 113 OF THE DATA, ETC. 100 1451 114 ================================================================= 100 1451 115 HISTORY 100 1451 116 ================================================================= 100 1451 117 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 100 1451 118 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 100 1451 119 CROSS SECTIONS. 100 1451 120 ================================================================= 100 1451 121 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 100 1451 122 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 100 1451 123 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 100 1451 124 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 100 1451 125 *RECONSTRUCTED MT NUMBERS 100 1451 126 516 =+(515,515)+(517,517) 100 1451 127 522 =+(534,572) 100 1451 128 501 =+(502,502)+(504,504)+(516,516)+(522,522) 100 1451 129 1 451 142 1 100 1451 130 23 501 224 1 100 1451 131 23 502 108 1 100 1451 132 23 504 32 1 100 1451 133 23 515 29 1 100 1451 134 23 516 55 1 100 1451 135 23 517 39 1 100 1451 136 23 522 85 2 100 1451 137 23 534 85 2 100 1451 138 27 502 33 1 100 1451 139 27 504 27 1 100 1451 140 27 505 88 1 100 1451 141 27 506 88 1 100 1451 142 100 1 0 143 100 0 0 144 1.000000+3 9.992420-1 0 0 0 0 10023501 145 0.000000+0 0.000000+0 0 0 1 663 10023501 146 663 2 0 0 0 0 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1.756580-8 2.845560+5 1.511940-8 10027506 1043 3.028740+5 1.318960-8 3.241860+5 1.134310-8 3.486430+5 9.627100-9 10027506 1044 3.779810+5 7.991870-9 3.993880+5 7.019170-9 4.288840+5 5.909940-9 10027506 1045 4.456040+5 5.376660-9 4.845200+5 4.342270-9 5.166140+5 3.659140-9 10027506 1046 5.608210+5 2.903280-9 5.972600+5 2.402240-9 6.224130+5 2.106510-9 10027506 1047 6.886740+5 1.476640-9 7.528970+5 1.017900-9 8.082610+5 7.06986-10 10027506 1048 8.990330+5 3.16010-10 1.000000+6 0.000000+0 1.000000+8 0.000000+0 10027506 1049 10027 0 1050 100 0 0 1051 0 0 0 1052 2.000000+3 3.968220+0 -1 0 2 2 200 1451 1 0.000000+0 0.000000+0 0 0 0 6 200 1451 2 0.000000+0 0.000000+0 0 0 3 2 200 1451 3 0.000000+0 0.000000+0 0 0 125 13 200 1451 4 2-HE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 200 1451 6 ----JEF-2 MATERIAL 200 REVISION 0 200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 200 1451 8 ------ENDF-6 FORMAT 200 1451 9 ****************************************************************** 200 1451 10 * JEF-2 * 200 1451 11 * DATA TAKEN FROM EPDL * 200 1451 12 ****************************************************************** 200 1451 13 ================================================================= 200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 200 1451 15 ENDF/B-VI FORMAT 200 1451 16 ================================================================= 200 1451 17 CONTENTS 200 1451 18 ================================================================= 200 1451 19 MF/MT DESCRIPTION 200 1451 20 ================================================================= 200 1451 21 23/501 TOTAL CROSS SECTION 200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 200 1451 29 ================================================================= 200 1451 30 27/502 COHERENT SCATTERING FORM FACTORS 200 1451 31 27/504 INCOHERENT SCATTERING FUNCTIONS 200 1451 32 27/505 COHERENT IMAGINARY SCATTERING FACTOR 200 1451 33 27/506 COHERENT REAL SCATTERING FACTOR 200 1451 34 ================================================================= 200 1451 35 WARNING 200 1451 36 ================================================================= 200 1451 37 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 200 1451 38 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 200 1451 39 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 200 1451 40 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 200 1451 41 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 200 1451 42 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 200 1451 43 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 200 1451 44 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 200 1451 45 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 200 1451 46 ================================================================= 200 1451 47 DEFINITION OF NEW TYPES OF DATA 200 1451 48 ================================================================= 200 1451 49 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 200 1451 50 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 200 1451 51 200 1451 52 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 200 1451 53 C2 FIELDS ARE, 200 1451 54 200 1451 55 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 200 1451 56 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 200 1451 57 200 1451 58 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 200 1451 59 200 1451 60 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 200 1451 61 200 1451 62 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 200 1451 63 T = THE THOMSON CROSS SECTION 200 1451 64 MU = THE COSINE OF THE SCATTERING ANGLE 200 1451 65 FF(M) = THE ATOMIC FORM FACTOR 200 1451 66 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 200 1451 67 F1(E) = THE REAL SCATTERING FACTOR 200 1451 68 F2(E) = THE IMAGINARY SCATTERING FACTOR 200 1451 69 200 1451 70 F1(E) AND F2(E) ARE ISOTROPIC. 200 1451 71 200 1451 72 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 200 1451 73 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 200 1451 74 ================================================================= 200 1451 75 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 200 1451 76 ================================================================= 200 1451 77 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 200 1451 78 HERE - 10 EV TO 100 MEV 200 1451 79 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 200 1451 80 - FLUORESCENCE AND ELECTRON SPECTRA 200 1451 81 HERE - PHOTON INTERACTION 200 1451 82 - AVERAGE FLUORESCENCE YIELD 200 1451 83 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 200 1451 84 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 200 1451 85 HERE - NO SECONDARY ENERGY DATA 200 1451 86 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 200 1451 87 INTERPOLABLE - SUMMATION CROSS SECTIONS 200 1451 88 (E.G., TOTAL) ARE NOT INCLUDED 200 1451 89 - FORM FACTORS ARE LOG X VS. LOG Y 200 1451 90 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 200 1451 91 - SCATTERING FACTORS LINEARLY INTERPOLABLE 200 1451 92 (SINCE THEY CAN BE NEGATIVE). 200 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 200 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 200 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 200 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 200 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 200 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 200 1451 99 - SCATTERING FACTORS LINEARLY INTERPOLABLE 200 1451 100 ================================================================= 200 1451 101 REFERENCES 200 1451 102 ================================================================= 200 1451 103 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 200 1451 104 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 200 1451 105 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 200 1451 106 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 200 1451 107 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 200 1451 108 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 200 1451 109 200 1451 110 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 200 1451 111 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 200 1451 112 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 200 1451 113 OF THE DATA, ETC. 200 1451 114 ================================================================= 200 1451 115 HISTORY 200 1451 116 ================================================================= 200 1451 117 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 200 1451 118 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 200 1451 119 CROSS SECTIONS. 200 1451 120 ================================================================= 200 1451 121 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 200 1451 122 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 200 1451 123 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 200 1451 124 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 200 1451 125 *RECONSTRUCTED MT NUMBERS 200 1451 126 516 =+(515,515)+(517,517) 200 1451 127 522 =+(534,572) 200 1451 128 501 =+(502,502)+(504,504)+(516,516)+(522,522) 200 1451 129 1 451 142 1 200 1451 130 23 501 218 1 200 1451 131 23 502 107 1 200 1451 132 23 504 28 1 200 1451 133 23 515 29 1 200 1451 134 23 516 56 1 200 1451 135 23 517 39 1 200 1451 136 23 522 79 2 200 1451 137 23 534 79 2 200 1451 138 27 502 43 1 200 1451 139 27 504 32 1 200 1451 140 27 505 84 1 200 1451 141 27 506 84 1 200 1451 142 200 1 0 143 200 0 0 144 2.000000+3 3.968220+0 0 0 0 0 20023501 145 0.000000+0 0.000000+0 0 0 1 644 20023501 146 644 2 0 0 0 0 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2.414570+2 1.307650-1 20027506 993 2.618500+2 1.199900-1 2.794190+2 1.109340-1 2.997790+2 1.018990-1 20027506 994 3.193680+2 9.402870-2 3.485220+2 8.480870-2 3.723630+2 7.773970-2 20027506 995 4.008360+2 7.038060-2 4.324820+2 6.340440-2 4.554800+2 5.873570-2 20027506 996 4.846960+2 5.373860-2 5.187100+2 4.877290-2 5.556990+2 4.405250-2 20027506 997 5.902210+2 4.009170-2 6.376850+2 3.560370-2 6.657500+2 3.312000-2 20027506 998 7.178670+2 2.937060-2 7.758890+2 2.591130-2 8.181160+2 2.368760-2 20027506 999 8.718330+2 2.129730-2 9.418130+2 1.874310-2 1.002580+3 1.684970-2 20027506 1000 1.061790+3 1.526370-2 1.138960+3 1.354440-2 1.211070+3 1.217040-2 20027506 1001 1.315040+3 1.057650-2 1.395630+3 9.527960-3 1.471270+3 8.573360-3 20027506 1002 1.560330+3 7.622420-3 1.661750+3 6.720300-3 1.792200+3 5.777560-3 20027506 1003 1.917580+3 5.046660-3 2.027910+3 4.512410-3 2.213860+3 3.786190-3 20027506 1004 2.432050+3 3.137260-3 2.614000+3 2.715710-3 2.745800+3 2.461250-3 20027506 1005 2.912750+3 2.187170-3 3.132820+3 1.890670-3 3.325390+3 1.678040-3 20027506 1006 3.512470+3 1.504040-3 3.755610+3 1.315600-3 3.982120+3 1.170180-3 20027506 1007 4.292930+3 1.006860-3 4.476400+3 9.260190-4 4.858560+3 7.860670-4 20027506 1008 5.194380+3 6.877090-4 5.468870+3 6.204070-4 5.817460+3 5.482800-4 20027506 1009 6.174290+3 4.867350-4 6.874940+3 3.925760-4 7.390810+3 3.396830-4 20027506 1010 7.886971+3 2.982870-4 8.371481+3 2.647570-4 9.004581+3 2.288340-4 20027506 1011 9.597691+3 2.014220-4 1.014860+4 1.801450-4 1.088670+4 1.565430-4 20027506 1012 1.154560+4 1.391840-4 1.232640+4 1.221080-4 1.318690+4 1.066890-4 20027506 1013 1.419430+4 9.208040-5 1.535040+4 7.872980-5 1.649760+4 6.815860-5 20027506 1014 1.820060+4 5.599720-5 1.937380+4 4.941830-5 2.046220+4 4.429880-5 20027506 1015 2.191850+4 3.860550-5 2.321680+4 3.440670-5 2.512610+4 2.937360-5 20027506 1016 2.597190+4 2.749030-5 2.811380+4 2.345830-5 3.000000+4 2.059900-5 20027506 1017 3.197090+4 1.813540-5 3.389300+4 1.613470-5 3.640120+4 1.398540-5 20027506 1018 3.874760+4 1.234070-5 4.092450+4 1.106080-5 4.383710+4 9.637440-6 20027506 1019 4.643350+4 8.587750-6 5.025400+4 7.328930-6 5.194380+4 6.858650-6 20027506 1020 5.622870+4 5.850440-6 6.000000+4 5.135840-6 6.406170+4 4.502950-6 20027506 1021 6.803000+4 3.990850-6 7.305010+4 3.458720-6 7.792440+4 3.037300-6 20027506 1022 8.273960+4 2.691970-6 8.962029+4 2.291740-6 9.907340+4 1.871900-6 20027506 1023 1.065640+5 1.615460-6 1.119940+5 1.460860-6 1.188760+5 1.294530-6 20027506 1024 1.262860+5 1.144950-6 1.337560+5 1.018620-6 1.464950+5 8.460820-7 20027506 1025 1.612110+5 6.954360-7 1.736130+5 5.970720-7 1.826110+5 5.378940-7 20027506 1026 1.940270+5 4.743400-7 2.051330+5 4.224140-7 2.199390+5 3.650430-7 20027506 1027 2.365370+5 3.130950-7 2.510180+5 2.759340-7 2.675180+5 2.407260-7 20027506 1028 2.927820+5 1.979100-7 3.102940+5 1.741670-7 3.402370+5 1.417380-7 20027506 1029 3.689100+5 1.177890-7 4.000000+5 9.741800-8 4.249210+5 8.421370-8 20027506 1030 4.630470+5 6.798680-8 5.050010+5 5.420470-8 5.456640+5 4.376440-8 20027506 1031 5.791680+5 3.676280-8 6.220980+5 2.939130-8 6.623670+5 2.373850-8 20027506 1032 7.085680+5 1.840290-8 7.682820+5 1.288100-8 8.226280+5 8.864510-9 20027506 1033 9.197270+5 3.380440-9 1.000000+6 0.000000+0 1.000000+8 0.000000+0 20027506 1034 20027 0 1035 200 0 0 1036 0 0 0 1037 3.000000+3 6.881380+0 -1 0 2 2 300 1451 1 0.000000+0 0.000000+0 0 0 0 6 300 1451 2 0.000000+0 0.000000+0 0 0 3 2 300 1451 3 0.000000+0 0.000000+0 0 0 126 14 300 1451 4 3-LI LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 300 1451 6 ----JEF-2 MATERIAL 300 REVISION 0 300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 300 1451 8 ------ENDF-6 FORMAT 300 1451 9 ****************************************************************** 300 1451 10 * JEF-2 * 300 1451 11 * DATA TAKEN FROM EPDL * 300 1451 12 ****************************************************************** 300 1451 13 ================================================================= 300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 300 1451 15 ENDF/B-VI FORMAT 300 1451 16 ================================================================= 300 1451 17 CONTENTS 300 1451 18 ================================================================= 300 1451 19 MF/MT DESCRIPTION 300 1451 20 ================================================================= 300 1451 21 23/501 TOTAL CROSS SECTION 300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 300 1451 30 ================================================================= 300 1451 31 27/502 COHERENT SCATTERING FORM FACTORS 300 1451 32 27/504 INCOHERENT SCATTERING FUNCTIONS 300 1451 33 27/505 COHERENT IMAGINARY SCATTERING FACTOR 300 1451 34 27/506 COHERENT REAL SCATTERING FACTOR 300 1451 35 ================================================================= 300 1451 36 WARNING 300 1451 37 ================================================================= 300 1451 38 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 300 1451 39 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 300 1451 40 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 300 1451 41 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 300 1451 42 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 300 1451 43 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 300 1451 44 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 300 1451 45 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 300 1451 46 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 300 1451 47 ================================================================= 300 1451 48 DEFINITION OF NEW TYPES OF DATA 300 1451 49 ================================================================= 300 1451 50 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 300 1451 51 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 300 1451 52 300 1451 53 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 300 1451 54 C2 FIELDS ARE, 300 1451 55 300 1451 56 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 300 1451 57 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 300 1451 58 300 1451 59 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 300 1451 60 300 1451 61 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 300 1451 62 300 1451 63 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 300 1451 64 T = THE THOMSON CROSS SECTION 300 1451 65 MU = THE COSINE OF THE SCATTERING ANGLE 300 1451 66 FF(M) = THE ATOMIC FORM FACTOR 300 1451 67 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 300 1451 68 F1(E) = THE REAL SCATTERING FACTOR 300 1451 69 F2(E) = THE IMAGINARY SCATTERING FACTOR 300 1451 70 300 1451 71 F1(E) AND F2(E) ARE ISOTROPIC. 300 1451 72 300 1451 73 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 300 1451 74 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 300 1451 75 ================================================================= 300 1451 76 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 300 1451 77 ================================================================= 300 1451 78 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 300 1451 79 HERE - 10 EV TO 100 MEV 300 1451 80 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 300 1451 81 - FLUORESCENCE AND ELECTRON SPECTRA 300 1451 82 HERE - PHOTON INTERACTION 300 1451 83 - AVERAGE FLUORESCENCE YIELD 300 1451 84 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 300 1451 85 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 300 1451 86 HERE - NO SECONDARY ENERGY DATA 300 1451 87 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 300 1451 88 INTERPOLABLE - SUMMATION CROSS SECTIONS 300 1451 89 (E.G., TOTAL) ARE NOT INCLUDED 300 1451 90 - FORM FACTORS ARE LOG X VS. LOG Y 300 1451 91 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 300 1451 92 - SCATTERING FACTORS LINEARLY INTERPOLABLE 300 1451 93 (SINCE THEY CAN BE NEGATIVE). 300 1451 94 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 300 1451 95 ORDER TO ALLOW CROSS SECTIONS DEFINED 300 1451 96 BY SUMMATION (E.G., TOTAL) TO BE 300 1451 97 CONSISTENTLY DEFINED AT ALL ENERGIES. 300 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 300 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 300 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE 300 1451 101 ================================================================= 300 1451 102 REFERENCES 300 1451 103 ================================================================= 300 1451 104 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 300 1451 105 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 300 1451 106 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 300 1451 107 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 300 1451 108 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 300 1451 109 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 300 1451 110 300 1451 111 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 300 1451 112 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 300 1451 113 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 300 1451 114 OF THE DATA, ETC. 300 1451 115 ================================================================= 300 1451 116 HISTORY 300 1451 117 ================================================================= 300 1451 118 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 300 1451 119 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 300 1451 120 CROSS SECTIONS. 300 1451 121 ================================================================= 300 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 300 1451 123 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 300 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 300 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 300 1451 126 *RECONSTRUCTED MT NUMBERS 300 1451 127 516 =+(515,515)+(517,517) 300 1451 128 522 =+(534,572) 300 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 300 1451 130 1 451 144 1 300 1451 131 23 501 232 1 300 1451 132 23 502 94 1 300 1451 133 23 504 30 1 300 1451 134 23 515 29 1 300 1451 135 23 516 57 1 300 1451 136 23 517 40 1 300 1451 137 23 522 107 2 300 1451 138 23 534 75 2 300 1451 139 23 535 79 2 300 1451 140 27 502 44 1 300 1451 141 27 504 35 1 300 1451 142 27 505 71 1 300 1451 143 27 506 71 1 300 1451 144 300 1 0 145 300 0 0 146 3.000000+3 6.881380+0 0 0 0 0 30023501 147 0.000000+0 0.000000+0 0 0 1 685 30023501 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2.291780-3 6.930870+3 1.971710-3 30027506 1097 7.295221+3 1.779630-3 7.757820+3 1.573620-3 8.232380+3 1.397370-3 30027506 1098 8.702010+3 1.250600-3 9.400210+3 1.071700-3 1.007480+4 9.329740-4 30027506 1099 1.090110+4 7.968880-4 1.203110+4 6.542020-4 1.279690+4 5.782330-4 30027506 1100 1.353150+4 5.171450-4 1.451560+4 4.493860-4 1.539410+4 3.995500-4 30027506 1101 1.669500+4 3.396960-4 1.726190+4 3.177450-4 1.872220+4 2.700950-4 30027506 1102 2.000000+4 2.366730-4 2.131390+4 2.083800-4 2.259530+4 1.854060-4 30027506 1103 2.426740+4 1.607230-4 2.583170+4 1.418350-4 2.728300+4 1.271380-4 30027506 1104 2.922470+4 1.107920-4 3.095570+4 9.873800-5 3.350260+4 8.428220-5 30027506 1105 3.462920+4 7.888140-5 3.748580+4 6.730340-5 4.000000+4 5.909700-5 30027506 1106 4.262790+4 5.202400-5 4.519070+4 4.628020-5 4.853490+4 4.010960-5 30027506 1107 5.166350+4 3.538780-5 5.456600+4 3.171340-5 5.844940+4 2.762700-5 30027506 1108 6.191140+4 2.461340-5 6.700530+4 2.099940-5 6.925840+4 1.964930-5 30027506 1109 7.497160+4 1.675480-5 8.051040+4 1.451620-5 8.587860+4 1.274660-5 30027506 1110 9.165190+4 1.117990-5 9.716629+4 9.936410-6 1.025180+5 8.916530-6 30027506 1111 1.094630+5 7.809230-6 1.159260+5 6.952560-6 1.269050+5 5.785890-6 30027506 1112 1.396700+5 4.760120-6 1.503940+5 4.092480-6 1.581730+5 3.690710-6 30027506 1113 1.680420+5 3.259150-6 1.773480+5 2.916400-6 1.892610+5 2.549270-6 30027506 1114 2.034720+5 2.192850-6 2.192450+5 1.875550-6 2.306950+5 1.684820-6 30027506 1115 2.452260+5 1.480170-6 2.584380+5 1.323270-6 2.745020+5 1.162160-6 30027506 1116 2.935690+5 1.004190-6 3.154710+5 8.569070-7 3.365770+5 7.413050-7 30027506 1117 3.590940+5 6.397470-7 3.929530+5 5.186310-7 4.075250+5 4.755520-7 30027506 1118 4.420560+5 3.899420-7 4.795120+5 3.171830-7 5.071510+5 2.735120-7 30027506 1119 5.516260+5 2.165310-7 6.000000+5 1.683670-7 6.568080+5 1.248280-7 30027506 1120 7.111020+5 9.258610-8 7.378210+5 7.928070-8 8.191110+5 4.645470-8 30027506 1121 8.824980+5 2.758840-8 9.048440+5 2.098940-8 1.000000+6 0.000000+0 30027506 1122 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0 30027506 1123 30027 0 1124 300 0 0 1125 0 0 0 1126 4.000000+3 8.934770+0 -1 0 2 2 400 1451 1 0.000000+0 0.000000+0 0 0 0 6 400 1451 2 0.000000+0 0.000000+0 0 0 3 2 400 1451 3 0.000000+0 0.000000+0 0 0 126 14 400 1451 4 4-BE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 400 1451 6 ----JEF-2 MATERIAL 400 REVISION 0 400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 400 1451 8 ------ENDF-6 FORMAT 400 1451 9 ****************************************************************** 400 1451 10 * JEF-2 * 400 1451 11 * DATA TAKEN FROM EPDL * 400 1451 12 ****************************************************************** 400 1451 13 ================================================================= 400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 400 1451 15 ENDF/B-VI FORMAT 400 1451 16 ================================================================= 400 1451 17 CONTENTS 400 1451 18 ================================================================= 400 1451 19 MF/MT DESCRIPTION 400 1451 20 ================================================================= 400 1451 21 23/501 TOTAL CROSS SECTION 400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 400 1451 30 ================================================================= 400 1451 31 27/502 COHERENT SCATTERING FORM FACTORS 400 1451 32 27/504 INCOHERENT SCATTERING FUNCTIONS 400 1451 33 27/505 COHERENT IMAGINARY SCATTERING FACTOR 400 1451 34 27/506 COHERENT REAL SCATTERING FACTOR 400 1451 35 ================================================================= 400 1451 36 WARNING 400 1451 37 ================================================================= 400 1451 38 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 400 1451 39 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 400 1451 40 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 400 1451 41 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 400 1451 42 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 400 1451 43 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 400 1451 44 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 400 1451 45 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 400 1451 46 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 400 1451 47 ================================================================= 400 1451 48 DEFINITION OF NEW TYPES OF DATA 400 1451 49 ================================================================= 400 1451 50 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 400 1451 51 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 400 1451 52 400 1451 53 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 400 1451 54 C2 FIELDS ARE, 400 1451 55 400 1451 56 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 400 1451 57 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 400 1451 58 400 1451 59 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 400 1451 60 400 1451 61 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 400 1451 62 400 1451 63 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 400 1451 64 T = THE THOMSON CROSS SECTION 400 1451 65 MU = THE COSINE OF THE SCATTERING ANGLE 400 1451 66 FF(M) = THE ATOMIC FORM FACTOR 400 1451 67 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 400 1451 68 F1(E) = THE REAL SCATTERING FACTOR 400 1451 69 F2(E) = THE IMAGINARY SCATTERING FACTOR 400 1451 70 400 1451 71 F1(E) AND F2(E) ARE ISOTROPIC. 400 1451 72 400 1451 73 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 400 1451 74 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 400 1451 75 ================================================================= 400 1451 76 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 400 1451 77 ================================================================= 400 1451 78 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 400 1451 79 HERE - 10 EV TO 100 MEV 400 1451 80 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 400 1451 81 - FLUORESCENCE AND ELECTRON SPECTRA 400 1451 82 HERE - PHOTON INTERACTION 400 1451 83 - AVERAGE FLUORESCENCE YIELD 400 1451 84 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 400 1451 85 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 400 1451 86 HERE - NO SECONDARY ENERGY DATA 400 1451 87 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 400 1451 88 INTERPOLABLE - SUMMATION CROSS SECTIONS 400 1451 89 (E.G., TOTAL) ARE NOT INCLUDED 400 1451 90 - FORM FACTORS ARE LOG X VS. LOG Y 400 1451 91 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 400 1451 92 - SCATTERING FACTORS LINEARLY INTERPOLABLE 400 1451 93 (SINCE THEY CAN BE NEGATIVE). 400 1451 94 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 400 1451 95 ORDER TO ALLOW CROSS SECTIONS DEFINED 400 1451 96 BY SUMMATION (E.G., TOTAL) TO BE 400 1451 97 CONSISTENTLY DEFINED AT ALL ENERGIES. 400 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 400 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 400 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE 400 1451 101 ================================================================= 400 1451 102 REFERENCES 400 1451 103 ================================================================= 400 1451 104 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 400 1451 105 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 400 1451 106 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 400 1451 107 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 400 1451 108 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 400 1451 109 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 400 1451 110 400 1451 111 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 400 1451 112 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 400 1451 113 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 400 1451 114 OF THE DATA, ETC. 400 1451 115 ================================================================= 400 1451 116 HISTORY 400 1451 117 ================================================================= 400 1451 118 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 400 1451 119 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 400 1451 120 CROSS SECTIONS. 400 1451 121 ================================================================= 400 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 400 1451 123 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 400 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 400 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 400 1451 126 *RECONSTRUCTED MT NUMBERS 400 1451 127 516 =+(515,515)+(517,517) 400 1451 128 522 =+(534,572) 400 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 400 1451 130 1 451 144 1 400 1451 131 23 501 216 1 400 1451 132 23 502 91 1 400 1451 133 23 504 31 1 400 1451 134 23 515 29 1 400 1451 135 23 516 56 1 400 1451 136 23 517 40 1 400 1451 137 23 522 92 2 400 1451 138 23 534 70 2 400 1451 139 23 535 76 2 400 1451 140 27 502 45 1 400 1451 141 27 504 35 1 400 1451 142 27 505 68 1 400 1451 143 27 506 68 1 400 1451 144 400 1 0 145 400 0 0 146 4.000000+3 8.934770+0 0 0 0 0 40023501 147 0.000000+0 0.000000+0 0 0 1 638 40023501 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2.576360-1 2.493310+2 3.121330-1 40027506 1035 2.582620+2 3.312890-1 2.698820+2 3.669490-1 2.977640+2 4.019620-1 40027506 1036 3.211680+2 4.141230-1 3.464100+2 4.182600-1 3.792280+2 4.168860-1 40027506 1037 4.090720+2 4.020590-1 4.450810+2 3.829920-1 4.855380+2 3.611600-1 40027506 1038 5.152110+2 3.421990-1 5.532220+2 3.223090-1 5.935520+2 3.030450-1 40027506 1039 6.335440+2 2.838400-1 6.888390+2 2.608060-1 7.341200+2 2.411500-1 40027506 1040 7.895240+2 2.216470-1 8.516930+2 2.024530-1 9.019490+2 1.878860-1 40027506 1041 9.767470+2 1.699650-1 1.049250+3 1.549590-1 1.117090+3 1.423960-1 40027506 1042 1.208690+3 1.279280-1 1.255220+3 1.207590-1 1.360440+3 1.077810-1 40027506 1043 1.498850+3 9.378090-2 1.564280+3 8.764670-2 1.674220+3 7.900340-2 40027506 1044 1.792550+3 7.114380-2 1.925990+3 6.362670-2 2.076370+3 5.653300-2 40027506 1045 2.218310+3 5.079430-2 2.344530+3 4.638200-2 2.493580+3 4.191340-2 40027506 1046 2.663790+3 3.759650-2 2.826900+3 3.402900-2 3.065690+3 2.982840-2 40027506 1047 3.270710+3 2.674820-2 3.520840+3 2.363040-2 3.763430+3 2.107890-2 40027506 1048 3.989380+3 1.904390-2 4.292930+3 1.678400-2 4.564680+3 1.506730-2 40027506 1049 4.887600+3 1.336790-2 5.244550+3 1.180790-2 5.663750+3 1.031330-2 40027506 1050 6.193110+3 8.623990-3 6.622290+3 7.541610-3 7.072330+3 6.612180-3 40027506 1051 7.512120+3 5.860510-3 8.087250+3 5.056480-3 8.626491+3 4.443990-3 40027506 1052 9.127741+3 3.969230-3 9.799781+3 3.443420-3 1.040010+4 3.057290-3 40027506 1053 1.128660+4 2.595820-3 1.167790+4 2.424760-3 1.267680+4 2.057600-3 40027506 1054 1.355400+4 1.799850-3 1.457950+4 1.555510-3 1.558850+4 1.360590-3 40027506 1055 1.655410+4 1.206470-3 1.749250+4 1.080460-3 1.871270+4 9.441010-4 40027506 1056 1.984990+4 8.389820-4 2.141130+4 7.210360-4 2.233330+4 6.627030-4 40027506 1057 2.425520+4 5.617900-4 2.594410+4 4.909870-4 2.732550+4 4.425670-4 40027506 1058 2.908060+4 3.907180-4 3.132820+4 3.366200-4 3.325390+4 2.987260-4 40027506 1059 3.512470+4 2.677160-4 3.755610+4 2.341330-4 3.982120+4 2.082180-4 40027506 1060 4.292930+4 1.791130-4 4.476400+4 1.647050-4 4.858460+4 1.397690-4 40027506 1061 5.194380+4 1.222340-4 5.468870+4 1.102410-4 5.817460+4 9.738610-5 40027506 1062 6.135290+4 8.752390-5 6.602270+4 7.553560-5 7.348170+4 6.091510-5 40027506 1063 7.808120+4 5.391210-5 8.260070+4 4.813870-5 8.865860+4 4.174130-5 40027506 1064 9.406910+4 3.704090-5 1.004840+5 3.242160-5 1.075570+5 2.825530-5 40027506 1065 1.158430+5 2.431230-5 1.224740+5 2.171620-5 1.302190+5 1.917170-5 40027506 1066 1.406550+5 1.638510-5 1.500310+5 1.436100-5 1.612110+5 1.239400-5 40027506 1067 1.736130+5 1.064100-5 1.826110+5 9.586300-6 1.940270+5 8.453660-6 40027506 1068 2.051330+5 7.528220-6 2.199390+5 6.505770-6 2.376880+5 5.522890-6 40027506 1069 2.574930+5 4.657060-6 2.719340+5 4.141360-6 2.919290+5 3.549740-6 40027506 1070 3.097340+5 3.116420-6 3.402370+5 2.526040-6 3.722270+5 2.060210-6 40027506 1071 4.000000+5 1.736180-6 4.248660+5 1.501450-6 4.630200+5 1.211980-6 40027506 1072 5.049880+5 9.662830-7 5.456640+5 7.799660-7 5.791680+5 6.551850-7 40027506 1073 6.220980+5 5.238100-7 6.623670+5 4.230660-7 7.085680+5 3.279760-7 40027506 1074 7.682820+5 2.295650-7 8.226280+5 1.579820-7 9.197270+5 6.024600-8 40027506 1075 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 40027506 1076 40027 0 1077 400 0 0 1078 0 0 0 1079 5.000000+3 1.071710+1 -1 0 2 2 500 1451 1 0.000000+0 0.000000+0 0 0 0 6 500 1451 2 0.000000+0 0.000000+0 0 0 3 2 500 1451 3 0.000000+0 0.000000+0 0 0 128 16 500 1451 4 5-B LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 500 1451 6 ----JEF-2 MATERIAL 500 REVISION 0 500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 500 1451 8 ------ENDF-6 FORMAT 500 1451 9 ****************************************************************** 500 1451 10 * JEF-2 * 500 1451 11 * DATA TAKEN FROM EPDL * 500 1451 12 ****************************************************************** 500 1451 13 ================================================================= 500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 500 1451 15 ENDF/B-VI FORMAT 500 1451 16 ================================================================= 500 1451 17 CONTENTS 500 1451 18 ================================================================= 500 1451 19 MF/MT DESCRIPTION 500 1451 20 ================================================================= 500 1451 21 23/501 TOTAL CROSS SECTION 500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 32 ================================================================= 500 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 500 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 500 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 500 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 500 1451 37 ================================================================= 500 1451 38 WARNING 500 1451 39 ================================================================= 500 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 500 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 500 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 500 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 500 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 500 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 500 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 500 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 500 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 500 1451 49 ================================================================= 500 1451 50 DEFINITION OF NEW TYPES OF DATA 500 1451 51 ================================================================= 500 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 500 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 500 1451 54 500 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 500 1451 56 C2 FIELDS ARE, 500 1451 57 500 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 500 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 500 1451 60 500 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 500 1451 62 500 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 500 1451 64 500 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 500 1451 66 T = THE THOMSON CROSS SECTION 500 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 500 1451 68 FF(M) = THE ATOMIC FORM FACTOR 500 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 500 1451 70 F1(E) = THE REAL SCATTERING FACTOR 500 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 500 1451 72 500 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 500 1451 74 500 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 500 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 500 1451 77 ================================================================= 500 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 500 1451 79 ================================================================= 500 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 500 1451 81 HERE - 10 EV TO 100 MEV 500 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 500 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 500 1451 84 HERE - PHOTON INTERACTION 500 1451 85 - AVERAGE FLUORESCENCE YIELD 500 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 500 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 500 1451 88 HERE - NO SECONDARY ENERGY DATA 500 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 500 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 500 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 500 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 500 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 500 1451 94 - SCATTERING FACTORS LINEARLY INTERPOLABLE 500 1451 95 (SINCE THEY CAN BE NEGATIVE). 500 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 500 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 500 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 500 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 500 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 500 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 500 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE 500 1451 103 ================================================================= 500 1451 104 REFERENCES 500 1451 105 ================================================================= 500 1451 106 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 500 1451 107 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 500 1451 108 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 500 1451 109 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 500 1451 110 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 500 1451 111 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 500 1451 112 500 1451 113 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 500 1451 114 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 500 1451 115 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 500 1451 116 OF THE DATA, ETC. 500 1451 117 ================================================================= 500 1451 118 HISTORY 500 1451 119 ================================================================= 500 1451 120 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 500 1451 121 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 500 1451 122 CROSS SECTIONS. 500 1451 123 ================================================================= 500 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 500 1451 125 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 500 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 500 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 500 1451 128 *RECONSTRUCTED MT NUMBERS 500 1451 129 516 =+(515,515)+(517,517) 500 1451 130 522 =+(534,572) 500 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 500 1451 132 1 451 148 1 500 1451 133 23 501 332 1 500 1451 134 23 502 92 1 500 1451 135 23 504 32 1 500 1451 136 23 515 29 1 500 1451 137 23 516 56 1 500 1451 138 23 517 40 1 500 1451 139 23 522 203 2 500 1451 140 23 534 68 2 500 1451 141 23 535 75 2 500 1451 142 23 536 91 2 500 1451 143 23 537 91 2 500 1451 144 27 502 44 1 500 1451 145 27 504 34 1 500 1451 146 27 505 69 1 500 1451 147 27 506 69 1 500 1451 148 500 1 0 149 500 0 0 150 5.000000+3 1.071710+1 0 0 0 0 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3.264140-1 50027506 1453 4.339070+2 3.609350-1 4.658240+2 4.209360-1 4.715080+2 4.266550-1 50027506 1454 5.368920+2 4.379970-1 5.881540+2 4.354110-1 6.311940+2 4.213820-1 50027506 1455 6.743670+2 4.096270-1 7.759470+2 3.744220-1 8.349440+2 3.530910-1 50027506 1456 9.079780+2 3.275480-1 9.736000+2 3.046050-1 1.046360+3 2.822840-1 50027506 1457 1.117790+3 2.622330-1 1.273620+3 2.261120-1 1.381200+3 2.052790-1 50027506 1458 1.478190+3 1.878400-1 1.594250+3 1.701520-1 1.734780+3 1.520630-1 50027506 1459 1.845840+3 1.393430-1 1.956810+3 1.284860-1 2.096940+3 1.166930-1 50027506 1460 2.236190+3 1.063750-1 2.383270+3 9.664410-2 2.586280+3 8.543240-2 50027506 1461 2.756810+3 7.713790-2 2.965840+3 6.879400-2 3.210280+3 6.067680-2 50027506 1462 3.365430+3 5.611230-2 3.643250+3 4.946820-2 3.951110+3 4.347150-2 50027506 1463 4.379820+3 3.665600-2 4.669690+3 3.291650-2 4.955310+3 2.973940-2 50027506 1464 5.326700+3 2.632690-2 5.694640+3 2.347810-2 6.383570+3 1.925900-2 50027506 1465 6.964681+3 1.660790-2 7.512120+3 1.457910-2 7.939320+3 1.322640-2 50027506 1466 8.421871+3 1.191270-2 9.095500+3 1.039820-2 9.771380+3 9.015670-3 50027506 1467 1.052240+4 7.772360-3 1.115610+4 6.905780-3 1.208050+4 5.895240-3 50027506 1468 1.296600+4 5.111760-3 1.365870+4 4.606710-3 1.457950+4 4.044650-3 50027506 1469 1.566410+4 3.502760-3 1.662690+4 3.108360-3 1.756240+4 2.785500-3 50027506 1470 1.877800+4 2.436580-3 1.991060+4 2.167260-3 2.146470+4 1.864550-3 50027506 1471 2.238200+4 1.714630-3 2.429260+4 1.455570-3 2.597190+4 1.273240-3 50027506 1472 2.734430+4 1.148660-3 2.908730+4 1.014860-3 3.141820+4 8.702970-4 50027506 1473 3.325390+4 7.763550-4 3.512470+4 6.956980-4 3.755610+4 6.084750-4 50027506 1474 3.989090+4 5.394490-4 4.295140+4 4.650260-4 4.476400+4 4.280010-4 50027506 1475 4.858470+4 3.632460-4 5.194380+4 3.176600-4 5.488520+4 2.846240-4 50027506 1476 5.828750+4 2.521550-4 6.154760+4 2.260420-4 6.622290+4 1.951140-4 50027506 1477 7.107010+4 1.694090-4 7.552379+4 1.499640-4 8.087250+4 1.305360-4 50027506 1478 8.626490+4 1.146310-4 9.127740+4 1.022940-4 9.899520+4 8.694180-5 50027506 1479 1.040010+5 7.859920-5 1.111210+5 6.874290-5 1.189740+5 5.986060-5 50027506 1480 1.283370+5 5.132810-5 1.370240+5 4.498140-5 1.452900+5 3.986770-5 50027506 1481 1.547020+5 3.509720-5 1.655920+5 3.049870-5 1.766950+5 2.670240-5 50027506 1482 1.896570+5 2.307420-5 2.011990+5 2.037110-5 2.171360+5 1.736960-5 50027506 1483 2.334270+5 1.491320-5 2.582390+5 1.202700-5 2.787000+5 1.020600-5 50027506 1484 2.949130+5 9.034340-6 3.258530+5 7.241010-6 3.494590+5 6.181150-6 50027506 1485 3.848540+5 4.944450-6 4.108300+5 4.232340-6 4.531280+5 3.326740-6 50027506 1486 4.848730+5 2.796220-6 5.259160+5 2.247480-6 5.627850+5 1.854500-6 50027506 1487 6.022760+5 1.510040-6 6.533410+5 1.154150-6 6.992390+5 8.985440-7 50027506 1488 7.484420+5 6.751090-7 8.120780+5 4.438800-7 8.820400+5 2.458010-7 50027506 1489 9.197270+5 1.662380-7 1.000000+6 0.000000+0 1.000000+8 0.000000+0 50027506 1490 50027 0 1491 500 0 0 1492 0 0 0 1493 6.000000+3 1.190780+1 -1 0 2 2 600 1451 1 0.000000+0 0.000000+0 0 0 0 6 600 1451 2 0.000000+0 0.000000+0 0 0 3 2 600 1451 3 0.000000+0 0.000000+0 0 0 128 16 600 1451 4 6-C LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 600 1451 6 ----JEF-2 MATERIAL 600 REVISION 0 600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 600 1451 8 ------ENDF-6 FORMAT 600 1451 9 ****************************************************************** 600 1451 10 * JEF-2 * 600 1451 11 * DATA TAKEN FROM EPDL * 600 1451 12 ****************************************************************** 600 1451 13 ================================================================= 600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 600 1451 15 ENDF/B-VI FORMAT 600 1451 16 ================================================================= 600 1451 17 CONTENTS 600 1451 18 ================================================================= 600 1451 19 MF/MT DESCRIPTION 600 1451 20 ================================================================= 600 1451 21 23/501 TOTAL CROSS SECTION 600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 32 ================================================================= 600 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 600 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 600 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 600 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 600 1451 37 ================================================================= 600 1451 38 WARNING 600 1451 39 ================================================================= 600 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 600 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 600 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 600 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 600 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 600 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 600 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 600 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 600 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 600 1451 49 ================================================================= 600 1451 50 DEFINITION OF NEW TYPES OF DATA 600 1451 51 ================================================================= 600 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 600 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 600 1451 54 600 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 600 1451 56 C2 FIELDS ARE, 600 1451 57 600 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 600 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 600 1451 60 600 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 600 1451 62 600 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 600 1451 64 600 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 600 1451 66 T = THE THOMSON CROSS SECTION 600 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 600 1451 68 FF(M) = THE ATOMIC FORM FACTOR 600 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 600 1451 70 F1(E) = THE REAL SCATTERING FACTOR 600 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 600 1451 72 600 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 600 1451 74 600 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 600 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 600 1451 77 ================================================================= 600 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 600 1451 79 ================================================================= 600 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 600 1451 81 HERE - 10 EV TO 100 MEV 600 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 600 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 600 1451 84 HERE - PHOTON INTERACTION 600 1451 85 - AVERAGE FLUORESCENCE YIELD 600 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 600 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 600 1451 88 HERE - NO SECONDARY ENERGY DATA 600 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 600 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 600 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 600 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 600 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 600 1451 94 - SCATTERING FACTORS LINEARLY INTERPOLABLE 600 1451 95 (SINCE THEY CAN BE NEGATIVE). 600 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 600 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 600 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 600 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 600 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 600 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 600 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE 600 1451 103 ================================================================= 600 1451 104 REFERENCES 600 1451 105 ================================================================= 600 1451 106 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 600 1451 107 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 600 1451 108 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 600 1451 109 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 600 1451 110 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 600 1451 111 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 600 1451 112 600 1451 113 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 600 1451 114 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 600 1451 115 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 600 1451 116 OF THE DATA, ETC. 600 1451 117 ================================================================= 600 1451 118 HISTORY 600 1451 119 ================================================================= 600 1451 120 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 600 1451 121 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 600 1451 122 CROSS SECTIONS. 600 1451 123 ================================================================= 600 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 600 1451 125 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 600 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 600 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 600 1451 128 *RECONSTRUCTED MT NUMBERS 600 1451 129 516 =+(515,515)+(517,517) 600 1451 130 522 =+(534,572) 600 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 600 1451 132 1 451 148 1 600 1451 133 23 501 301 1 600 1451 134 23 502 93 1 600 1451 135 23 504 30 1 600 1451 136 23 515 29 1 600 1451 137 23 516 57 1 600 1451 138 23 517 40 1 600 1451 139 23 522 173 2 600 1451 140 23 534 64 2 600 1451 141 23 535 72 2 600 1451 142 23 536 90 2 600 1451 143 23 537 89 2 600 1451 144 27 502 47 1 600 1451 145 27 504 37 1 600 1451 146 27 505 70 1 600 1451 147 27 506 70 1 600 1451 148 600 1 0 149 600 0 0 150 6.000000+3 1.190780+1 0 0 0 0 60023501 151 0.000000+0 0.000000+0 0 0 1 893 60023501 152 893 2 0 0 0 0 60023501 153 1.000000+1 1.278940+7 1.065260+1 1.225360+7 1.154780+1 1.151870+7 60023501 154 1.163150+1 1.144990+7 1.167220+1 1.141650+7 1.261040+1 1.082740+7 60023501 155 1.333520+1 1.037230+7 1.362400+1 1.019100+7 1.512470+1 9.241140+6 60023501 156 1.600040+1 8.686860+6 1.605450+1 8.652620+6 1.707450+1 8.060140+6 60023501 157 1.715440+1 8.013720+6 1.730360+1 7.927060+6 1.741610+1 7.861710+6 60023501 158 1.748770+1 7.820120+6 1.756000+1 7.778120+6 1.756000+1 8.667350+6 60023501 159 1.764170+1 8.628370+6 1.771480+1 8.593490+6 1.778570+1 8.559670+6 60023501 160 1.788840+1 8.510670+6 1.791900+1 8.496070+6 1.841630+1 8.321260+6 60023501 161 2.000000+1 7.764550+6 2.138350+1 7.281970+6 2.193280+1 7.090370+6 60023501 162 2.212270+1 7.017780+6 2.395990+1 6.483910+6 2.447070+1 6.320990+6 60023501 163 2.522640+1 6.104290+6 2.679570+1 5.654290+6 2.709470+1 5.562420+6 60023501 164 2.855540+1 5.217150+6 3.000000+1 4.875690+6 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3.281290+1-4.094580+0 4.004400+1-3.608100+0 4.612860+1-3.298660+0 60027506 1367 4.913850+1-3.157380+0 5.514000+1-2.946940+0 6.453460+1-2.690590+0 60027506 1368 7.734240+1-2.454610+0 8.837460+1-2.336780+0 1.042110+2-2.233860+0 60027506 1369 1.187990+2-2.200070+0 1.373690+2-2.198170+0 1.495800+2-2.224840+0 60027506 1370 1.657290+2-2.277780+0 1.807220+2-2.362700+0 1.941390+2-2.444320+0 60027506 1371 2.157000+2-2.652520+0 2.323400+2-2.881870+0 2.524020+2-3.309890+0 60027506 1372 2.658860+2-3.795870+0 2.726280+2-4.174130+0 2.801300+2-4.855960+0 60027506 1373 2.829950+2-5.293870+0 2.842130+2-5.553020+0 2.850180+2-5.764270+0 60027506 1374 2.854720+2-5.900920+0 2.859710+2-6.067440+0 2.862050+2-6.151450+0 60027506 1375 2.865000+2-6.262400+0 2.867780+2-6.371680+0 2.870380+2-6.478520+0 60027506 1376 2.873990+2-6.629810+0 2.877300+2-6.772830+0 2.881280+2-6.943660+0 60027506 1377 2.886350+2-7.152010+0 2.891920+2-7.356430+0 2.898170+2-7.534370+0 60027506 1378 2.910480+2-7.646720+0 2.922790+2-7.439200+0 2.933320+2-7.034360+0 60027506 1379 2.946090+2-6.449900+0 2.962740+2-5.746160+0 2.975190+2-5.328460+0 60027506 1380 2.999320+2-4.796650+0 3.044550+2-4.128950+0 3.084770+2-3.701380+0 60027506 1381 3.153410+2-3.148040+0 3.257310+2-2.545530+0 3.361220+2-2.129310+0 60027506 1382 3.512700+2-1.665100+0 3.626310+2-1.357890+0 3.796720+2-9.723620-1 60027506 1383 3.881930+2-8.142860-1 3.967140+2-6.892770-1 4.127930+2-4.942590-1 60027506 1384 4.443140+2-2.144500-1 4.486750+2-1.832860-1 4.587500+2-1.337690-1 60027506 1385 4.787530+2-7.367960-3 4.801520+2 8.065150-4 4.837530+2 2.186820-2 60027506 1386 4.875040+2 4.219960-2 4.903170+2 5.624330-2 4.924270+2 6.589540-2 60027506 1387 4.940090+2 7.249570-2 4.960850+2 8.001150-2 4.980880+2 8.509380-2 60027506 1388 4.985890+2 8.553050-2 4.994220+2 8.551060-2 5.003030+2 8.722960-2 60027506 1389 5.037710+2 9.786340-2 5.053970+2 1.038040-1 5.305960+2 2.084640-1 60027506 1390 5.431960+2 2.542830-1 5.526460+2 2.785880-1 5.615730+2 2.869410-1 60027506 1391 5.919040+2 3.507780-1 6.483610+2 4.012680-1 6.975150+2 4.275030-1 60027506 1392 7.470020+2 4.371680-1 8.258800+2 4.472920-1 8.787390+2 4.398510-1 60027506 1393 9.661580+2 4.278140-1 1.004910+3 4.130050-1 1.095430+3 3.913420-1 60027506 1394 1.194100+3 3.682330-1 1.273930+3 3.474030-1 1.381200+3 3.224110-1 60027506 1395 1.478190+3 2.994940-1 1.594250+3 2.752380-1 1.729410+3 2.506920-1 60027506 1396 1.903440+3 2.239740-1 2.043790+3 2.051350-1 2.182970+3 1.889630-1 60027506 1397 2.327360+3 1.734660-1 2.519880+3 1.558490-1 2.723640+3 1.396190-1 60027506 1398 2.931160+3 1.257060-1 3.193160+3 1.112050-1 3.378160+3 1.019680-1 60027506 1399 3.599400+3 9.251980-2 3.919300+3 8.143330-2 4.406080+3 6.778320-2 60027506 1400 4.686790+3 6.129370-2 5.077940+3 5.391300-2 5.446920+3 4.800670-2 60027506 1401 5.889491+3 4.224010-2 6.406090+3 3.677170-2 6.749600+3 3.363630-2 60027506 1402 7.254060+3 2.983970-2 7.778040+3 2.656250-2 8.261380+3 2.396530-2 60027506 1403 8.731250+3 2.177700-2 9.342290+3 1.938410-2 9.911920+3 1.745970-2 60027506 1404 1.090720+4 1.482080-2 1.211690+4 1.230810-2 1.296600+4 1.091530-2 60027506 1405 1.365870+4 9.937210-3 1.463060+4 8.671380-3 1.566410+4 7.554910-3 60027506 1406 1.662690+4 6.705080-3 1.756240+4 6.008540-3 1.877800+4 5.255440-3 60027506 1407 1.997890+4 4.645400-3 2.170610+4 3.936370-3 2.238200+4 3.699890-3 60027506 1408 2.428830+4 3.145540-3 2.597190+4 2.746220-3 2.734430+4 2.477280-3 60027506 1409 2.908730+4 2.189070-3 3.132820+4 1.886830-3 3.325390+4 1.674410-3 60027506 1410 3.512470+4 1.500600-3 3.755610+4 1.312350-3 3.989130+4 1.163410-3 60027506 1411 4.292930+4 1.003950-3 4.476400+4 9.231920-4 4.858520+4 7.834000-4 60027506 1412 5.194380+4 6.851370-4 5.468870+4 6.179050-4 5.849180+4 5.405180-4 60027506 1413 6.273640+4 4.691010-4 6.670970+4 4.146690-4 7.057640+4 3.702780-4 60027506 1414 7.561050+4 3.223740-4 8.073610+4 2.825130-4 8.676929+4 2.443430-4 60027506 1415 9.495060+4 2.040250-4 1.000000+5 1.837090-4 1.095720+5 1.525360-4 60027506 1416 1.182690+5 1.307170-4 1.262860+5 1.143720-4 1.356890+5 9.904440-5 60027506 1417 1.462870+5 8.487640-5 1.612110+5 6.946860-5 1.736130+5 5.964300-5 60027506 1418 1.826110+5 5.373140-5 1.946890+5 4.707370-5 2.051330+5 4.219600-5 60027506 1419 2.199390+5 3.646510-5 2.385040+5 3.073170-5 2.581540+5 2.597060-5 60027506 1420 2.719340+5 2.321270-5 2.913960+5 1.997600-5 3.093840+5 1.751150-5 60027506 1421 3.402370+5 1.415850-5 3.721180+5 1.153240-5 4.000000+5 9.731340-6 60027506 1422 4.229490+5 8.508300-6 4.598630+5 6.911520-6 5.000000+5 5.560750-6 60027506 1423 5.457820+5 4.369260-6 5.791680+5 3.672360-6 6.220980+5 2.936010-6 60027506 1424 6.623670+5 2.371320-6 7.085680+5 1.838320-6 7.682820+5 1.286720-6 60027506 1425 8.226280+5 8.854990-7 9.197270+5 3.376790-7 1.000000+6 0.000000+0 60027506 1426 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0 60027506 1427 60027 0 1428 600 0 0 1429 0 0 0 1430 7.000000+3 1.388640+1 -1 0 2 2 700 1451 1 0.000000+0 0.000000+0 0 0 0 6 700 1451 2 0.000000+0 0.000000+0 0 0 3 2 700 1451 3 0.000000+0 0.000000+0 0 0 128 16 700 1451 4 7-N LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 700 1451 6 ----JEF-2 MATERIAL 700 REVISION 0 700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 700 1451 8 ------ENDF-6 FORMAT 700 1451 9 ****************************************************************** 700 1451 10 * JEF-2 * 700 1451 11 * DATA TAKEN FROM EPDL * 700 1451 12 ****************************************************************** 700 1451 13 ================================================================= 700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 700 1451 15 ENDF/B-VI FORMAT 700 1451 16 ================================================================= 700 1451 17 CONTENTS 700 1451 18 ================================================================= 700 1451 19 MF/MT DESCRIPTION 700 1451 20 ================================================================= 700 1451 21 23/501 TOTAL CROSS SECTION 700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 32 ================================================================= 700 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 700 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 700 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 700 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 700 1451 37 ================================================================= 700 1451 38 WARNING 700 1451 39 ================================================================= 700 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 700 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 700 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 700 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 700 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 700 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 700 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 700 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 700 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 700 1451 49 ================================================================= 700 1451 50 DEFINITION OF NEW TYPES OF DATA 700 1451 51 ================================================================= 700 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 700 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 700 1451 54 700 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 700 1451 56 C2 FIELDS ARE, 700 1451 57 700 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 700 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 700 1451 60 700 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 700 1451 62 700 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 700 1451 64 700 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 700 1451 66 T = THE THOMSON CROSS SECTION 700 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 700 1451 68 FF(M) = THE ATOMIC FORM FACTOR 700 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 700 1451 70 F1(E) = THE REAL SCATTERING FACTOR 700 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 700 1451 72 700 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 700 1451 74 700 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 700 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 700 1451 77 ================================================================= 700 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 700 1451 79 ================================================================= 700 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 700 1451 81 HERE - 10 EV TO 100 MEV 700 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 700 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 700 1451 84 HERE - PHOTON INTERACTION 700 1451 85 - AVERAGE FLUORESCENCE YIELD 700 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 700 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 700 1451 88 HERE - NO SECONDARY ENERGY DATA 700 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 700 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 700 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 700 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 700 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 700 1451 94 - SCATTERING FACTORS LINEARLY INTERPOLABLE 700 1451 95 (SINCE THEY CAN BE NEGATIVE). 700 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 700 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 700 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 700 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 700 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 700 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 700 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE 700 1451 103 ================================================================= 700 1451 104 REFERENCES 700 1451 105 ================================================================= 700 1451 106 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 700 1451 107 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 700 1451 108 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 700 1451 109 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 700 1451 110 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 700 1451 111 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 700 1451 112 700 1451 113 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 700 1451 114 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 700 1451 115 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 700 1451 116 OF THE DATA, ETC. 700 1451 117 ================================================================= 700 1451 118 HISTORY 700 1451 119 ================================================================= 700 1451 120 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 700 1451 121 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 700 1451 122 CROSS SECTIONS. 700 1451 123 ================================================================= 700 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 700 1451 125 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 700 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 700 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 700 1451 128 *RECONSTRUCTED MT NUMBERS 700 1451 129 516 =+(515,515)+(517,517) 700 1451 130 522 =+(534,572) 700 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 700 1451 132 1 451 148 1 700 1451 133 23 501 353 1 700 1451 134 23 502 111 1 700 1451 135 23 504 32 1 700 1451 136 23 515 29 1 700 1451 137 23 516 57 1 700 1451 138 23 517 40 1 700 1451 139 23 522 204 2 700 1451 140 23 534 62 2 700 1451 141 23 535 71 2 700 1451 142 23 536 87 2 700 1451 143 23 537 87 2 700 1451 144 27 502 53 1 700 1451 145 27 504 38 1 700 1451 146 27 505 89 1 700 1451 147 27 506 89 1 700 1451 148 700 1 0 149 700 0 0 150 7.000000+3 1.388640+1 0 0 0 0 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2.450080-6 70027506 1565 8.226280+5 1.686130-6 9.197270+5 6.429750-7 1.000000+6 0.000000+0 70027506 1566 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0 70027506 1567 70027 0 1568 700 0 0 1569 0 0 0 1570 8.000000+3 1.586200+1 -1 0 2 2 800 1451 1 0.000000+0 0.000000+0 0 0 0 6 800 1451 2 0.000000+0 0.000000+0 0 0 3 2 800 1451 3 0.000000+0 0.000000+0 0 0 128 16 800 1451 4 8-O LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 800 1451 6 ----JEF-2 MATERIAL 800 REVISION 0 800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 800 1451 8 ------ENDF-6 FORMAT 800 1451 9 ****************************************************************** 800 1451 10 * JEF-2 * 800 1451 11 * DATA TAKEN FROM EPDL * 800 1451 12 ****************************************************************** 800 1451 13 ================================================================= 800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 800 1451 15 ENDF/B-VI FORMAT 800 1451 16 ================================================================= 800 1451 17 CONTENTS 800 1451 18 ================================================================= 800 1451 19 MF/MT DESCRIPTION 800 1451 20 ================================================================= 800 1451 21 23/501 TOTAL CROSS SECTION 800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 32 ================================================================= 800 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 800 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 800 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 800 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 800 1451 37 ================================================================= 800 1451 38 WARNING 800 1451 39 ================================================================= 800 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 800 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 800 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 800 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 800 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 800 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 800 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 800 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 800 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 800 1451 49 ================================================================= 800 1451 50 DEFINITION OF NEW TYPES OF DATA 800 1451 51 ================================================================= 800 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 800 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 800 1451 54 800 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 800 1451 56 C2 FIELDS ARE, 800 1451 57 800 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 800 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 800 1451 60 800 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 800 1451 62 800 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 800 1451 64 800 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 800 1451 66 T = THE THOMSON CROSS SECTION 800 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 800 1451 68 FF(M) = THE ATOMIC FORM FACTOR 800 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 800 1451 70 F1(E) = THE REAL SCATTERING FACTOR 800 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 800 1451 72 800 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 800 1451 74 800 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 800 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 800 1451 77 ================================================================= 800 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 800 1451 79 ================================================================= 800 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 800 1451 81 HERE - 10 EV TO 100 MEV 800 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 800 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 800 1451 84 HERE - PHOTON INTERACTION 800 1451 85 - AVERAGE FLUORESCENCE YIELD 800 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 800 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 800 1451 88 HERE - NO SECONDARY ENERGY DATA 800 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 800 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 800 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 800 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 800 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 800 1451 94 - SCATTERING FACTORS LINEARLY INTERPOLABLE 800 1451 95 (SINCE THEY CAN BE NEGATIVE). 800 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 800 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 800 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 800 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 800 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 800 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 800 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE 800 1451 103 ================================================================= 800 1451 104 REFERENCES 800 1451 105 ================================================================= 800 1451 106 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 800 1451 107 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 800 1451 108 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 800 1451 109 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 800 1451 110 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 800 1451 111 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 800 1451 112 800 1451 113 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 800 1451 114 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 800 1451 115 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 800 1451 116 OF THE DATA, ETC. 800 1451 117 ================================================================= 800 1451 118 HISTORY 800 1451 119 ================================================================= 800 1451 120 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 800 1451 121 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 800 1451 122 CROSS SECTIONS. 800 1451 123 ================================================================= 800 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 800 1451 125 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 800 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 800 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 800 1451 128 *RECONSTRUCTED MT NUMBERS 800 1451 129 516 =+(515,515)+(517,517) 800 1451 130 522 =+(534,572) 800 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 800 1451 132 1 451 148 1 800 1451 133 23 501 307 1 800 1451 134 23 502 108 1 800 1451 135 23 504 31 1 800 1451 136 23 515 29 1 800 1451 137 23 516 57 1 800 1451 138 23 517 40 1 800 1451 139 23 522 164 2 800 1451 140 23 534 61 2 800 1451 141 23 535 69 2 800 1451 142 23 536 85 2 800 1451 143 23 537 85 2 800 1451 144 27 502 54 1 800 1451 145 27 504 39 1 800 1451 146 27 505 86 1 800 1451 147 27 506 86 1 800 1451 148 800 1 0 149 800 0 0 150 8.000000+3 1.586200+1 0 0 0 0 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1.426460+1-1.098300+1 1.430470+1-1.087430+1 80027506 1404 1.438100+1-1.066630+1 1.445400+1-1.049430+1 1.472780+1-1.016470+1 80027506 1405 1.554920+1-9.763680+0 1.790480+1-9.213190+0 2.096610+1-8.732130+0 80027506 1406 2.593810+1-8.137330+0 2.854460+1-8.051670+0 2.892970+1-8.135900+0 80027506 1407 2.910570+1-8.178980+0 2.946510+1-8.122500+0 2.977420+1-7.995390+0 80027506 1408 3.160130+1-7.625470+0 3.789950+1-6.690540+0 4.163640+1-6.210080+0 80027506 1409 4.897480+1-5.327580+0 5.811770+1-4.466240+0 6.758260+1-3.823450+0 80027506 1410 7.416480+1-3.494300+0 8.399860+1-3.089150+0 9.503490+1-2.767070+0 80027506 1411 1.057310+2-2.559110+0 1.194100+2-2.356560+0 1.287100+2-2.258010+0 80027506 1412 1.422180+2-2.160650+0 1.611860+2-2.080510+0 1.860650+2-2.022450+0 80027506 1413 2.070140+2-2.012260+0 2.383300+2-2.021820+0 2.615690+2-2.059860+0 80027506 1414 2.880710+2-2.113900+0 3.223710+2-2.216500+0 3.573010+2-2.347670+0 80027506 1415 3.957630+2-2.562470+0 4.257690+2-2.793160+0 4.651530+2-3.255420+0 80027506 1416 4.904710+2-3.754110+0 5.031300+2-4.141330+0 5.171920+2-4.838330+0 80027506 1417 5.224250+2-5.273430+0 5.246820+2-5.533500+0 5.261730+2-5.745060+0 80027506 1418 5.270140+2-5.881830+0 5.279400+2-6.048460+0 5.283730+2-6.132550+0 80027506 1419 5.289210+2-6.243650+0 5.294350+2-6.353130+0 5.299180+2-6.460250+0 80027506 1420 5.305870+2-6.612120+0 5.312010+2-6.755890+0 5.319370+2-6.928010+0 80027506 1421 5.328780+2-7.138720+0 5.339100+2-7.346790+0 5.350680+2-7.530670+0 80027506 1422 5.373450+2-7.656070+0 5.396210+2-7.467510+0 5.414910+2-7.097820+0 80027506 1423 5.439260+2-6.527020+0 5.462850+2-5.983380+0 5.485890+2-5.531600+0 80027506 1424 5.527580+2-4.957900+0 5.608360+2-4.258570+0 5.684080+2-3.795360+0 80027506 1425 5.826070+2-3.154690+0 5.950310+2-2.726170+0 6.167730+2-2.139290+0 80027506 1426 6.330800+2-1.786710+0 6.575400+2-1.357880+0 6.697700+2-1.183640+0 80027506 1427 6.819990+2-1.046200+0 7.128740+2-7.439180-1 7.360310+2-5.562820-1 80027506 1428 7.830620+2-3.000890-1 8.385410+2-7.733430-2 8.512530+2-3.129100-2 80027506 1429 8.607870+2-3.618890-3 8.690780+2 1.103480-2 8.786640+2 3.670460-2 80027506 1430 9.072340+2 1.191570-1 9.204790+2 1.541570-1 9.275240+2 1.707050-1 80027506 1431 9.362820+2 1.888740-1 9.433940+2 1.993220-1 9.484439+2 2.013610-1 80027506 1432 9.588290+2 2.160940-1 9.951760+2 2.807920-1 1.013350+3 3.084350-1 80027506 1433 1.022440+3 3.186800-1 1.043600+3 3.272250-1 1.106980+3 3.919500-1 80027506 1434 1.199110+3 4.260480-1 1.312290+3 4.534810-1 1.407260+3 4.677920-1 80027506 1435 1.544240+3 4.653230-1 1.634450+3 4.545640-1 1.762020+3 4.364960-1 80027506 1436 1.915340+3 4.164100-1 2.094960+3 3.896840-1 2.213360+3 3.702320-1 80027506 1437 2.466440+3 3.365370-1 2.720890+3 3.016100-1 2.956400+3 2.753450-1 80027506 1438 3.128560+3 2.565740-1 3.348430+3 2.365570-1 3.585090+3 2.178260-1 80027506 1439 3.833510+3 1.998720-1 4.152730+3 1.804870-1 4.414960+3 1.653900-1 80027506 1440 4.712720+3 1.511340-1 5.120630+3 1.346000-1 5.441780+3 1.229480-1 80027506 1441 5.845330+3 1.108390-1 6.381450+3 9.751890-2 7.095290+3 8.265030-2 80027506 1442 7.675020+3 7.296150-2 8.136730+3 6.636800-2 8.770191+3 5.881830-2 80027506 1443 9.242871+3 5.389110-2 9.916680+3 4.799560-2 1.066300+4 4.256130-2 80027506 1444 1.154140+4 3.734390-2 1.259510+4 3.235820-2 1.335160+4 2.929130-2 80027506 1445 1.437370+4 2.585650-2 1.536410+4 2.305390-2 1.632910+4 2.073290-2 80027506 1446 1.752580+4 1.834260-2 1.863520+4 1.646120-2 1.995350+4 1.460670-2 80027506 1447 2.148210+4 1.282340-2 2.312220+4 1.125520-2 2.522470+4 9.652110-3 80027506 1448 2.701520+4 8.404910-3 2.989120+4 6.863050-3 3.187660+4 6.033950-3 80027506 1449 3.372160+4 5.390980-3 3.635800+4 4.639780-3 3.878230+4 4.080630-3 80027506 1450 4.102250+4 3.640680-3 4.402680+4 3.159960-3 4.713280+4 2.758500-3 80027506 1451 5.043590+4 2.409650-3 5.328480+4 2.155260-3 5.648840+4 1.917070-3 80027506 1452 6.066860+4 1.661170-3 6.490030+4 1.450820-3 6.985820+4 1.251340-3 80027506 1453 7.460660+4 1.096370-3 8.027550+4 9.461570-4 8.657300+4 8.126500-4 80027506 1454 9.114779+4 7.325140-4 9.744260+4 6.406070-4 1.025670+5 5.776270-4 80027506 1455 1.087560+5 5.127570-4 1.170820+5 4.415250-4 1.251870+5 3.854360-4 80027506 1456 1.327370+5 3.421560-4 1.455880+5 2.834010-4 1.608610+5 2.311130-4 80027506 1457 1.731460+5 1.985570-4 1.846890+5 1.741000-4 1.946890+5 1.558590-4 80027506 1458 2.075680+5 1.365730-4 2.199390+5 1.207230-4 2.384690+5 1.017730-4 80027506 1459 2.582630+5 8.590680-5 2.719340+5 7.684830-5 2.913930+5 6.613600-5 80027506 1460 3.093820+5 5.797570-5 3.402370+5 4.687370-5 3.721180+5 3.818000-5 80027506 1461 4.000000+5 3.221730-5 4.229490+5 2.816820-5 4.598630+5 2.288190-5 80027506 1462 5.000000+5 1.840970-5 5.457820+5 1.446510-5 5.791680+5 1.215800-5 80027506 1463 6.246150+5 9.603050-6 6.623670+5 7.850730-6 7.085680+5 6.086170-6 80027506 1464 7.682820+5 4.260160-6 8.226280+5 2.931830-6 9.197270+5 1.118210-6 80027506 1465 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 80027506 1466 80027 0 1467 800 0 0 1468 0 0 0 1469 9.000000+3 1.883520+1 -1 0 2 2 900 1451 1 0.000000+0 0.000000+0 0 0 0 6 900 1451 2 0.000000+0 0.000000+0 0 0 3 2 900 1451 3 0.000000+0 0.000000+0 0 0 128 16 900 1451 4 9-F LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 900 1451 6 ----JEF-2 MATERIAL 900 REVISION 0 900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 900 1451 8 ------ENDF-6 FORMAT 900 1451 9 ****************************************************************** 900 1451 10 * JEF-2 * 900 1451 11 * DATA TAKEN FROM EPDL * 900 1451 12 ****************************************************************** 900 1451 13 ================================================================= 900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 900 1451 15 ENDF/B-VI FORMAT 900 1451 16 ================================================================= 900 1451 17 CONTENTS 900 1451 18 ================================================================= 900 1451 19 MF/MT DESCRIPTION 900 1451 20 ================================================================= 900 1451 21 23/501 TOTAL CROSS SECTION 900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 32 ================================================================= 900 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 900 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 900 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 900 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 900 1451 37 ================================================================= 900 1451 38 WARNING 900 1451 39 ================================================================= 900 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 900 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 900 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 900 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 900 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 900 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 900 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 900 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 900 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 900 1451 49 ================================================================= 900 1451 50 DEFINITION OF NEW TYPES OF DATA 900 1451 51 ================================================================= 900 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 900 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 900 1451 54 900 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 900 1451 56 C2 FIELDS ARE, 900 1451 57 900 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 900 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 900 1451 60 900 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 900 1451 62 900 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 900 1451 64 900 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 900 1451 66 T = THE THOMSON CROSS SECTION 900 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 900 1451 68 FF(M) = THE ATOMIC FORM FACTOR 900 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 900 1451 70 F1(E) = THE REAL SCATTERING FACTOR 900 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 900 1451 72 900 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 900 1451 74 900 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 900 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 900 1451 77 ================================================================= 900 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 900 1451 79 ================================================================= 900 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 900 1451 81 HERE - 10 EV TO 100 MEV 900 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 900 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 900 1451 84 HERE - PHOTON INTERACTION 900 1451 85 - AVERAGE FLUORESCENCE YIELD 900 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 900 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 900 1451 88 HERE - NO SECONDARY ENERGY DATA 900 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 900 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 900 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 900 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 900 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 900 1451 94 - SCATTERING FACTORS LINEARLY INTERPOLABLE 900 1451 95 (SINCE THEY CAN BE NEGATIVE). 900 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 900 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 900 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 900 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 900 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 900 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 900 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE 900 1451 103 ================================================================= 900 1451 104 REFERENCES 900 1451 105 ================================================================= 900 1451 106 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 900 1451 107 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 900 1451 108 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 900 1451 109 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 900 1451 110 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 900 1451 111 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 900 1451 112 900 1451 113 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 900 1451 114 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 900 1451 115 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 900 1451 116 OF THE DATA, ETC. 900 1451 117 ================================================================= 900 1451 118 HISTORY 900 1451 119 ================================================================= 900 1451 120 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 900 1451 121 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 900 1451 122 CROSS SECTIONS. 900 1451 123 ================================================================= 900 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 900 1451 125 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 900 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 900 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 900 1451 128 *RECONSTRUCTED MT NUMBERS 900 1451 129 516 =+(515,515)+(517,517) 900 1451 130 522 =+(534,572) 900 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 900 1451 132 1 451 148 1 900 1451 133 23 501 343 1 900 1451 134 23 502 109 1 900 1451 135 23 504 34 1 900 1451 136 23 515 29 1 900 1451 137 23 516 57 1 900 1451 138 23 517 40 1 900 1451 139 23 522 192 2 900 1451 140 23 534 59 2 900 1451 141 23 535 69 2 900 1451 142 23 536 84 2 900 1451 143 23 537 83 2 900 1451 144 27 502 56 1 900 1451 145 27 504 41 1 900 1451 146 27 505 88 1 900 1451 147 27 506 88 1 900 1451 148 900 1 0 149 900 0 0 150 9.000000+3 1.883520+1 0 0 0 0 90023501 151 0.000000+0 0.000000+0 0 0 1 1019 90023501 152 1019 2 0 0 0 0 90023501 153 1.000000+1 1.052230-1 1.035160+1 1.265560-1 1.066930+1 1.487420-1 90023501 154 1.124900+1 1.973320-1 1.154780+1 2.279160-1 1.170430+1 2.439340-1 90023501 155 1.205790+1 2.859750-1 1.260840+1 3.630050-1 1.318400+1 4.607830-1 90023501 156 1.333520+1 4.987110-1 1.356520+1 5.564050-1 1.415760+1 7.383000-1 90023501 157 1.477600+1 9.796600-1 1.512470+1 1.196020+0 1.516880+1 1.223380+0 90023501 158 1.557200+1 1.527740+0 1.593220+1 1.982510+0 1.630080+1 2.572650+0 90023501 159 1.630150+1 2.574220+0 1.630680+1 2.585480+0 1.631460+1 2.602300+0 90023501 160 1.632240+1 2.619430+0 1.633010+1 2.636350+0 1.633760+1 2.653330+0 90023501 161 1.634510+1 2.670100+0 1.635260+1 2.687190+0 1.635990+1 2.704330+0 90023501 162 1.636710+1 2.721250+0 1.636800+1 2.723410+0 1.636870+1 2.725290+0 90023501 163 1.637430+1 2.739850+0 1.638190+1 2.760410+0 1.638830+1 2.777790+0 90023501 164 1.639520+1 2.796850+0 1.640210+1 2.816250+0 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6.769590+2-6.110220+0 6.776610+2-6.220560+0 6.783190+2-6.329270+0 90027506 1491 6.789380+2-6.435660+0 6.797950+2-6.586540+0 6.805820+2-6.729460+0 90027506 1492 6.815250+2-6.900720+0 6.827300+2-7.110820+0 6.840520+2-7.319180+0 90027506 1493 6.855360+2-7.505470+0 6.883480+2-7.638470+0 6.911590+2-7.479890+0 90027506 1494 6.941080+2-7.066420+0 6.959230+2-6.720710+0 6.992760+2-6.137120+0 90027506 1495 7.023180+2-5.663560+0 7.081460+2-5.040350+0 7.168870+2-4.430060+0 90027506 1496 7.256290+2-3.944630+0 7.389310+2-3.364940+0 7.622100+2-2.658570+0 90027506 1497 7.801360+2-2.247260+0 8.058580+2-1.778550+0 8.189530+2-1.584940+0 90027506 1498 8.628630+2-1.106270+0 8.782710+2-9.667350-1 9.306900+2-6.182390-1 90027506 1499 9.491950+2-5.107630-1 1.014470+3-2.411770-1 1.032300+3-1.734900-1 90027506 1500 1.043060+3-1.388710-1 1.064330+3-9.303330-2 1.101110+3 5.729500-3 90027506 1501 1.119490+3 5.034810-2 1.128680+3 6.890850-2 1.135580+3 7.928630-2 90027506 1502 1.139900+3 8.150530-2 1.143870+3 8.645100-2 1.154260+3 1.040260-1 90027506 1503 1.173810+3 1.422610-1 1.210020+3 2.139020-1 1.224310+3 2.397650-1 90027506 1504 1.245740+3 2.733010-1 1.256450+3 2.861850-1 1.274660+3 2.948580-1 90027506 1505 1.358900+3 3.817340-1 1.382980+3 3.953090-1 1.503100+3 4.416870-1 90027506 1506 1.614360+3 4.611550-1 1.742710+3 4.717260-1 1.901060+3 4.682920-1 90027506 1507 2.088320+3 4.646600-1 2.225360+3 4.473620-1 2.445570+3 4.250220-1 90027506 1508 2.720890+3 3.868740-1 2.979360+3 3.562960-1 3.128560+3 3.379000-1 90027506 1509 3.348430+3 3.154360-1 3.585090+3 2.937460-1 3.823460+3 2.728500-1 90027506 1510 4.152730+3 2.483230-1 4.348220+3 2.331050-1 4.712720+3 2.107030-1 90027506 1511 5.155620+3 1.875850-1 5.442600+3 1.737640-1 5.799660+3 1.591950-1 90027506 1512 6.381450+3 1.402610-1 7.095290+3 1.203050-1 7.675020+3 1.067360-1 90027506 1513 8.136730+3 9.739110-2 8.770191+3 8.664330-2 9.340630+3 7.835600-2 90027506 1514 1.045410+4 6.529080-2 1.151530+4 5.610850-2 1.224740+4 5.076900-2 90027506 1515 1.320210+4 4.494230-2 1.389470+4 4.124490-2 1.486070+4 3.686910-2 90027506 1516 1.581860+4 3.313610-2 1.720540+4 2.879880-2 1.837370+4 2.571680-2 90027506 1517 1.932940+4 2.354810-2 2.053070+4 2.120950-2 2.182640+4 1.905900-2 90027506 1518 2.357100+4 1.669560-2 2.517150+4 1.488610-2 2.691640+4 1.322790-2 90027506 1519 2.997820+4 1.092780-2 3.205690+4 9.687390-3 3.456210+4 8.328350-3 90027506 1520 3.698290+4 7.272420-3 3.987890+4 6.252970-3 4.310310+4 5.350900-3 90027506 1521 4.544970+4 4.811580-3 4.843470+4 4.235640-3 5.221370+4 3.643220-3 90027506 1522 5.558820+4 3.214480-3 5.854120+4 2.896080-3 6.259340+4 2.532000-3 90027506 1523 6.636860+4 2.251010-3 7.279300+4 1.869550-3 8.027550+4 1.535490-3 90027506 1524 8.657300+4 1.318820-3 9.114779+4 1.188770-3 9.744260+4 1.039910-3 90027506 1525 1.044270+5 9.034590-4 1.108460+5 8.008870-4 1.177150+5 7.093860-4 90027506 1526 1.254480+5 6.230660-4 1.329790+5 5.534580-4 1.455870+5 4.599490-4 90027506 1527 1.608610+5 3.750980-4 1.748180+5 3.162650-4 1.846890+5 2.825630-4 90027506 1528 1.955360+5 2.508210-4 2.051330+5 2.267470-4 2.199390+5 1.959430-4 90027506 1529 2.384690+5 1.651910-4 2.574930+5 1.402690-4 2.719340+5 1.247400-4 90027506 1530 2.913930+5 1.073450-4 3.093820+5 9.411450-5 3.432040+5 7.478640-5 90027506 1531 3.721180+5 6.196660-5 4.028810+5 5.140000-5 4.362180+5 4.244780-5 90027506 1532 4.598630+5 3.713620-5 5.051580+5 2.908480-5 5.541210+5 2.247870-5 90027506 1533 6.022760+5 1.749750-5 6.533410+5 1.337360-5 6.992390+5 1.041300-5 90027506 1534 7.484420+5 7.824030-6 8.120780+5 5.144480-6 8.820400+5 2.849590-6 90027506 1535 9.305110+5 1.637610-6 9.818850+5 3.727370-7 1.000000+6 0.000000+0 90027506 1536 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0 90027506 1537 90027 0 1538 900 0 0 1539 0 0 0 1540 1.000000+4 2.000560+1 -1 0 2 21000 1451 1 0.000000+0 0.000000+0 0 0 0 61000 1451 2 0.000000+0 0.000000+0 0 0 3 21000 1451 3 0.000000+0 0.000000+0 0 0 128 161000 1451 4 10-NE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1000 1451 6 ----JEF-2 MATERIAL 1000 REVISION 0 1000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1000 1451 8 ------ENDF-6 FORMAT 1000 1451 9 ******************************************************************1000 1451 10 * JEF-2 *1000 1451 11 * DATA TAKEN FROM EPDL *1000 1451 12 ******************************************************************1000 1451 13 =================================================================1000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1000 1451 15 ENDF/B-VI FORMAT 1000 1451 16 =================================================================1000 1451 17 CONTENTS 1000 1451 18 =================================================================1000 1451 19 MF/MT DESCRIPTION 1000 1451 20 =================================================================1000 1451 21 23/501 TOTAL CROSS SECTION 1000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 32 =================================================================1000 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 1000 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 1000 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1000 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 1000 1451 37 =================================================================1000 1451 38 WARNING 1000 1451 39 =================================================================1000 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1000 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1000 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1000 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1000 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1000 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1000 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1000 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1000 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1000 1451 49 =================================================================1000 1451 50 DEFINITION OF NEW TYPES OF DATA 1000 1451 51 =================================================================1000 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1000 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1000 1451 54 1000 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1000 1451 56 C2 FIELDS ARE, 1000 1451 57 1000 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1000 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1000 1451 60 1000 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1000 1451 62 1000 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1000 1451 64 1000 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1000 1451 66 T = THE THOMSON CROSS SECTION 1000 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 1000 1451 68 FF(M) = THE ATOMIC FORM FACTOR 1000 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1000 1451 70 F1(E) = THE REAL SCATTERING FACTOR 1000 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 1000 1451 72 1000 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 1000 1451 74 1000 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1000 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1000 1451 77 =================================================================1000 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1000 1451 79 =================================================================1000 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1000 1451 81 HERE - 10 EV TO 100 MEV 1000 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1000 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 1000 1451 84 HERE - PHOTON INTERACTION 1000 1451 85 - AVERAGE FLUORESCENCE YIELD 1000 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1000 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1000 1451 88 HERE - NO SECONDARY ENERGY DATA 1000 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1000 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 1000 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 1000 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 1000 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1000 1451 94 - SCATTERING FACTORS LINEARLY INTERPOLABLE1000 1451 95 (SINCE THEY CAN BE NEGATIVE). 1000 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1000 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 1000 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 1000 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 1000 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 1000 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1000 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE1000 1451 103 =================================================================1000 1451 104 REFERENCES 1000 1451 105 =================================================================1000 1451 106 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1000 1451 107 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1000 1451 108 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1000 1451 109 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1000 1451 110 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1000 1451 111 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1000 1451 112 1000 1451 113 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1000 1451 114 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1000 1451 115 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1000 1451 116 OF THE DATA, ETC. 1000 1451 117 =================================================================1000 1451 118 HISTORY 1000 1451 119 =================================================================1000 1451 120 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1000 1451 121 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1000 1451 122 CROSS SECTIONS. 1000 1451 123 =================================================================1000 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1000 1451 125 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1000 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1000 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1000 1451 128 *RECONSTRUCTED MT NUMBERS 1000 1451 129 516 =+(515,515)+(517,517) 1000 1451 130 522 =+(534,572) 1000 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1000 1451 132 1 451 148 11000 1451 133 23 501 302 11000 1451 134 23 502 108 11000 1451 135 23 504 33 11000 1451 136 23 515 29 11000 1451 137 23 516 57 11000 1451 138 23 517 40 11000 1451 139 23 522 156 21000 1451 140 23 534 63 21000 1451 141 23 535 79 21000 1451 142 23 536 96 21000 1451 143 23 537 95 21000 1451 144 27 502 55 11000 1451 145 27 504 39 11000 1451 146 27 505 86 11000 1451 147 27 506 86 11000 1451 148 1000 1 0 149 1000 0 0 150 1.000000+4 2.000560+1 0 0 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1.156860+3-6.396040-1100027506 1452 1.199100+3-4.298440-1 1.272870+3-1.656410-1 1.302300+3-7.163330-2100027506 1453 1.317020+3-3.224440-2 1.324370+3-1.572900-2 1.339500+3 6.622860-3100027506 1454 1.397770+3 1.308550-1 1.417000+3 1.679670-1 1.434080+3 1.962680-1100027506 1455 1.445060+3 2.106750-1 1.453290+3 2.177280-1 1.459320+3 2.181200-1100027506 1456 1.472040+3 2.288640-1 1.516540+3 2.797600-1 1.538800+3 3.020940-1100027506 1457 1.554920+3 3.120960-1 1.578570+3 3.197960-1 1.670530+3 3.894760-1100027506 1458 1.685960+3 3.969240-1 1.701180+3 3.981540-1 1.844550+3 4.441140-1100027506 1459 2.000000+3 4.723200-1 2.157980+3 4.831510-1 2.365670+3 4.860290-1100027506 1460 2.535600+3 4.726240-1 2.806930+3 4.514020-1 3.000000+3 4.320850-1100027506 1461 3.201330+3 4.093380-1 3.402370+3 3.875320-1 3.689100+3 3.604430-1100027506 1462 4.000000+3 3.322500-1 4.349120+3 3.038040-1 4.728710+3 2.763530-1100027506 1463 5.173880+3 2.482920-1 5.415170+3 2.338070-1 5.864810+3 2.111890-1100027506 1464 6.247710+3 1.942650-1 6.774230+3 1.745450-1 7.246730+3 1.588660-1100027506 1465 7.787120+3 1.434850-1 8.383380+3 1.292470-1 8.882121+3 1.185650-1100027506 1466 9.457420+3 1.077430-1 1.030640+4 9.470720-2 1.097810+4 8.566180-2100027506 1467 1.179060+4 7.658980-2 1.256180+4 6.916350-2 1.338330+4 6.241540-2100027506 1468 1.462460+4 5.416750-2 1.541010+4 4.963100-2 1.648490+4 4.440240-2100027506 1469 1.751620+4 4.010390-2 1.861210+4 3.617780-2 2.112330+4 2.923410-2100027506 1470 2.287690+4 2.553500-2 2.580890+4 2.073710-2 2.780380+4 1.822890-2100027506 1471 3.000000+4 1.596340-2 3.223710+4 1.406440-2 3.503250+4 1.215200-2100027506 1472 3.722420+4 1.090390-2 3.880460+4 1.010670-2 4.119390+4 8.968770-3100027506 1473 4.410200+4 7.819840-3 4.695850+4 6.895820-3 5.065900+4 5.923300-3100027506 1474 5.603490+4 4.837270-3 6.000000+4 4.217080-3 6.461930+4 3.635140-3100027506 1475 6.943790+4 3.144710-3 7.303960+4 2.840690-3 7.760910+4 2.514320-3100027506 1476 8.226279+4 2.236140-3 8.882120+4 1.918060-3 9.504420+4 1.674240-3100027506 1477 1.000000+5 1.508270-3 1.073870+5 1.305910-3 1.138230+5 1.160730-3100027506 1478 1.217010+5 1.014300-3 1.305620+5 8.785080-4 1.394240+5 7.685100-4100027506 1479 1.500000+5 6.618770-4 1.610050+5 5.724720-4 1.710780+5 5.053030-4100027506 1480 1.811690+5 4.489310-4 1.929360+5 3.940430-4 2.070920+5 3.400000-4100027506 1481 2.220390+5 2.937790-4 2.354390+5 2.596060-4 2.528320+5 2.230940-4100027506 1482 2.754080+5 1.859500-4 3.000000+5 1.540410-4 3.243180+5 1.296090-4100027506 1483 3.520840+5 1.076640-4 3.789960+5 9.083110-5 4.098830+5 7.544830-5100027506 1484 4.410200+5 6.309440-5 4.868630+5 4.903780-5 5.234430+5 4.036870-5100027506 1485 5.477230+5 3.554880-5 6.014390+5 2.688280-5 6.595730+5 1.979680-5100027506 1486 6.996450+5 1.588920-5 7.378210+5 1.275110-5 8.000000+5 8.569730-6100027506 1487 8.683090+5 4.972820-6 9.821780+5 5.584280-7 1.000000+6 0.000000+0100027506 1488 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0100027506 1489 100027 0 1490 1000 0 0 1491 0 0 0 1492 1.100000+4 2.279230+1 -1 0 2 21100 1451 1 0.000000+0 0.000000+0 0 0 0 61100 1451 2 0.000000+0 0.000000+0 0 0 3 21100 1451 3 0.000000+0 0.000000+0 0 0 129 171100 1451 4 11-NA LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1100 1451 6 ----JEF-2 MATERIAL 1100 REVISION 0 1100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1100 1451 8 ------ENDF-6 FORMAT 1100 1451 9 ******************************************************************1100 1451 10 * JEF-2 *1100 1451 11 * DATA TAKEN FROM EPDL *1100 1451 12 ******************************************************************1100 1451 13 =================================================================1100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1100 1451 15 ENDF/B-VI FORMAT 1100 1451 16 =================================================================1100 1451 17 CONTENTS 1100 1451 18 =================================================================1100 1451 19 MF/MT DESCRIPTION 1100 1451 20 =================================================================1100 1451 21 23/501 TOTAL CROSS SECTION 1100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 33 =================================================================1100 1451 34 27/502 COHERENT SCATTERING FORM FACTORS 1100 1451 35 27/504 INCOHERENT SCATTERING FUNCTIONS 1100 1451 36 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1100 1451 37 27/506 COHERENT REAL SCATTERING FACTOR 1100 1451 38 =================================================================1100 1451 39 WARNING 1100 1451 40 =================================================================1100 1451 41 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1100 1451 42 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1100 1451 43 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1100 1451 44 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1100 1451 45 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1100 1451 46 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1100 1451 47 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1100 1451 48 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1100 1451 49 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1100 1451 50 =================================================================1100 1451 51 DEFINITION OF NEW TYPES OF DATA 1100 1451 52 =================================================================1100 1451 53 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1100 1451 54 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1100 1451 55 1100 1451 56 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1100 1451 57 C2 FIELDS ARE, 1100 1451 58 1100 1451 59 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1100 1451 60 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1100 1451 61 1100 1451 62 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1100 1451 63 1100 1451 64 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1100 1451 65 1100 1451 66 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1100 1451 67 T = THE THOMSON CROSS SECTION 1100 1451 68 MU = THE COSINE OF THE SCATTERING ANGLE 1100 1451 69 FF(M) = THE ATOMIC FORM FACTOR 1100 1451 70 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1100 1451 71 F1(E) = THE REAL SCATTERING FACTOR 1100 1451 72 F2(E) = THE IMAGINARY SCATTERING FACTOR 1100 1451 73 1100 1451 74 F1(E) AND F2(E) ARE ISOTROPIC. 1100 1451 75 1100 1451 76 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1100 1451 77 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1100 1451 78 =================================================================1100 1451 79 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1100 1451 80 =================================================================1100 1451 81 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1100 1451 82 HERE - 10 EV TO 100 MEV 1100 1451 83 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1100 1451 84 - FLUORESCENCE AND ELECTRON SPECTRA 1100 1451 85 HERE - PHOTON INTERACTION 1100 1451 86 - AVERAGE FLUORESCENCE YIELD 1100 1451 87 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1100 1451 88 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1100 1451 89 HERE - NO SECONDARY ENERGY DATA 1100 1451 90 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1100 1451 91 INTERPOLABLE - SUMMATION CROSS SECTIONS 1100 1451 92 (E.G., TOTAL) ARE NOT INCLUDED 1100 1451 93 - FORM FACTORS ARE LOG X VS. LOG Y 1100 1451 94 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1100 1451 95 - SCATTERING FACTORS LINEARLY INTERPOLABLE1100 1451 96 (SINCE THEY CAN BE NEGATIVE). 1100 1451 97 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1100 1451 98 ORDER TO ALLOW CROSS SECTIONS DEFINED 1100 1451 99 BY SUMMATION (E.G., TOTAL) TO BE 1100 1451 100 CONSISTENTLY DEFINED AT ALL ENERGIES. 1100 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 1100 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1100 1451 103 - SCATTERING FACTORS LINEARLY INTERPOLABLE1100 1451 104 =================================================================1100 1451 105 REFERENCES 1100 1451 106 =================================================================1100 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1100 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1100 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1100 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1100 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1100 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1100 1451 113 1100 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1100 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1100 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1100 1451 117 OF THE DATA, ETC. 1100 1451 118 =================================================================1100 1451 119 HISTORY 1100 1451 120 =================================================================1100 1451 121 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1100 1451 122 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1100 1451 123 CROSS SECTIONS. 1100 1451 124 =================================================================1100 1451 125 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1100 1451 126 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1100 1451 127 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1100 1451 128 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1100 1451 129 *RECONSTRUCTED MT NUMBERS 1100 1451 130 516 =+(515,515)+(517,517) 1100 1451 131 522 =+(534,572) 1100 1451 132 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1100 1451 133 1 451 150 11100 1451 134 23 501 367 11100 1451 135 23 502 91 11100 1451 136 23 504 30 11100 1451 137 23 515 29 11100 1451 138 23 516 57 11100 1451 139 23 517 40 11100 1451 140 23 522 239 21100 1451 141 23 534 56 21100 1451 142 23 535 66 21100 1451 143 23 536 80 21100 1451 144 23 537 81 21100 1451 145 23 538 69 21100 1451 146 27 502 58 11100 1451 147 27 504 44 11100 1451 148 27 505 70 11100 1451 149 27 506 70 11100 1451 150 1100 1 0 151 1100 0 0 152 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1.149310-3 1.502720+5 1.020870-3 1.613680+5 8.807940-4110027506 1606 1.756530+5 7.399870-4 1.861210+5 6.564760-4 2.050700+5 5.364300-4110027506 1607 2.217950+5 4.551300-4 2.376870+5 3.939520-4 2.519330+5 3.480710-4110027506 1608 2.681450+5 3.045140-4 2.845560+5 2.672660-4 3.028740+5 2.331280-4110027506 1609 3.242230+5 2.004400-4 3.486430+5 1.701960-4 3.848620+5 1.354530-4110027506 1610 4.131450+5 1.145670-4 4.411070+5 9.746520-5 4.853510+5 7.644040-5110027506 1611 5.065420+5 6.829330-5 5.502370+5 5.422950-5 6.022760+5 4.142110-5110027506 1612 6.568080+5 3.103590-5 7.114300+5 2.297920-5 7.378210+5 1.971170-5110027506 1613 8.191110+5 1.154990-5 9.049140+5 5.217880-6 9.818970+5 9.433100-7110027506 1614 9.928240+5 3.423900-7 1.000000+6 0.000000+0 1.000000+8 0.000000+0110027506 1615 110027 0 1616 1100 0 0 1617 0 0 0 1618 1.200000+4 2.409620+1 -1 0 2 21200 1451 1 0.000000+0 0.000000+0 0 0 0 61200 1451 2 0.000000+0 0.000000+0 0 0 3 21200 1451 3 0.000000+0 0.000000+0 0 0 129 171200 1451 4 12-MG LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1200 1451 6 ----JEF-2 MATERIAL 1200 REVISION 0 1200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1200 1451 8 ------ENDF-6 FORMAT 1200 1451 9 ******************************************************************1200 1451 10 * JEF-2 *1200 1451 11 * DATA TAKEN FROM EPDL *1200 1451 12 ******************************************************************1200 1451 13 =================================================================1200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1200 1451 15 ENDF/B-VI FORMAT 1200 1451 16 =================================================================1200 1451 17 CONTENTS 1200 1451 18 =================================================================1200 1451 19 MF/MT DESCRIPTION 1200 1451 20 =================================================================1200 1451 21 23/501 TOTAL CROSS SECTION 1200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 33 =================================================================1200 1451 34 27/502 COHERENT SCATTERING FORM FACTORS 1200 1451 35 27/504 INCOHERENT SCATTERING FUNCTIONS 1200 1451 36 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1200 1451 37 27/506 COHERENT REAL SCATTERING FACTOR 1200 1451 38 =================================================================1200 1451 39 WARNING 1200 1451 40 =================================================================1200 1451 41 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1200 1451 42 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1200 1451 43 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1200 1451 44 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1200 1451 45 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1200 1451 46 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1200 1451 47 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1200 1451 48 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1200 1451 49 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1200 1451 50 =================================================================1200 1451 51 DEFINITION OF NEW TYPES OF DATA 1200 1451 52 =================================================================1200 1451 53 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1200 1451 54 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1200 1451 55 1200 1451 56 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1200 1451 57 C2 FIELDS ARE, 1200 1451 58 1200 1451 59 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1200 1451 60 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1200 1451 61 1200 1451 62 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1200 1451 63 1200 1451 64 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1200 1451 65 1200 1451 66 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1200 1451 67 T = THE THOMSON CROSS SECTION 1200 1451 68 MU = THE COSINE OF THE SCATTERING ANGLE 1200 1451 69 FF(M) = THE ATOMIC FORM FACTOR 1200 1451 70 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1200 1451 71 F1(E) = THE REAL SCATTERING FACTOR 1200 1451 72 F2(E) = THE IMAGINARY SCATTERING FACTOR 1200 1451 73 1200 1451 74 F1(E) AND F2(E) ARE ISOTROPIC. 1200 1451 75 1200 1451 76 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1200 1451 77 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1200 1451 78 =================================================================1200 1451 79 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1200 1451 80 =================================================================1200 1451 81 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1200 1451 82 HERE - 10 EV TO 100 MEV 1200 1451 83 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1200 1451 84 - FLUORESCENCE AND ELECTRON SPECTRA 1200 1451 85 HERE - PHOTON INTERACTION 1200 1451 86 - AVERAGE FLUORESCENCE YIELD 1200 1451 87 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1200 1451 88 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1200 1451 89 HERE - NO SECONDARY ENERGY DATA 1200 1451 90 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1200 1451 91 INTERPOLABLE - SUMMATION CROSS SECTIONS 1200 1451 92 (E.G., TOTAL) ARE NOT INCLUDED 1200 1451 93 - FORM FACTORS ARE LOG X VS. LOG Y 1200 1451 94 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1200 1451 95 - SCATTERING FACTORS LINEARLY INTERPOLABLE1200 1451 96 (SINCE THEY CAN BE NEGATIVE). 1200 1451 97 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1200 1451 98 ORDER TO ALLOW CROSS SECTIONS DEFINED 1200 1451 99 BY SUMMATION (E.G., TOTAL) TO BE 1200 1451 100 CONSISTENTLY DEFINED AT ALL ENERGIES. 1200 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 1200 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1200 1451 103 - SCATTERING FACTORS LINEARLY INTERPOLABLE1200 1451 104 =================================================================1200 1451 105 REFERENCES 1200 1451 106 =================================================================1200 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1200 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1200 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1200 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1200 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1200 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1200 1451 113 1200 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1200 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1200 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1200 1451 117 OF THE DATA, ETC. 1200 1451 118 =================================================================1200 1451 119 HISTORY 1200 1451 120 =================================================================1200 1451 121 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1200 1451 122 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1200 1451 123 CROSS SECTIONS. 1200 1451 124 =================================================================1200 1451 125 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1200 1451 126 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1200 1451 127 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1200 1451 128 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1200 1451 129 *RECONSTRUCTED MT NUMBERS 1200 1451 130 516 =+(515,515)+(517,517) 1200 1451 131 522 =+(534,572) 1200 1451 132 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1200 1451 133 1 451 150 11200 1451 134 23 501 335 11200 1451 135 23 502 94 11200 1451 136 23 504 30 11200 1451 137 23 515 29 11200 1451 138 23 516 57 11200 1451 139 23 517 40 11200 1451 140 23 522 208 21200 1451 141 23 534 55 21200 1451 142 23 535 63 21200 1451 143 23 536 79 21200 1451 144 23 537 80 21200 1451 145 23 538 73 21200 1451 146 27 502 55 11200 1451 147 27 504 43 11200 1451 148 27 505 73 11200 1451 149 27 506 73 11200 1451 150 1200 1 0 151 1200 0 0 152 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1.552350+3-1.378820+0 1.578490+3-1.204810+0 1.670290+3-7.552330-1120027506 1519 1.703120+3-6.209460-1 1.735950+3-5.177540-1 1.831460+3-2.586500-1120027506 1520 1.847380+3-2.237810-1 1.890750+3-1.540500-1 1.958670+3-2.093090-2120027506 1521 1.986810+3 3.454140-2 2.010820+3 7.670130-2 2.028830+3 1.055630-1120027506 1522 2.042340+3 1.252220-1 2.060070+3 1.475510-1 2.071470+3 1.588120-1120027506 1523 2.077170+3 1.628640-1 2.081440+3 1.644320-1 2.084550+3 1.636090-1120027506 1524 2.095760+3 1.697590-1 2.107070+3 1.795180-1 2.213360+3 2.919610-1120027506 1525 2.262910+3 3.356140-1 2.280890+3 3.469820-1 2.411120+3 3.864360-1120027506 1526 2.566050+3 4.544000-1 2.580950+3 4.583560-1 2.607000+3 4.584990-1120027506 1527 2.855590+3 5.028020-1 3.044140+3 5.104080-1 3.277010+3 5.176600-1120027506 1528 3.586750+3 5.136910-1 3.792280+3 5.032990-1 4.103010+3 4.852210-1120027506 1529 4.331150+3 4.623870-1 4.722820+3 4.328430-1 5.152110+3 4.010820-1120027506 1530 5.440610+3 3.792220-1 5.839100+3 3.536400-1 6.576800+3 3.102450-1120027506 1531 7.101971+3 2.834610-1 7.763181+3 2.541130-1 8.215970+3 2.357020-1120027506 1532 8.911670+3 2.117050-1 9.518180+3 1.936850-1 1.039590+4 1.723660-1120027506 1533 1.088920+4 1.612000-1 1.188440+4 1.423060-1 1.264330+4 1.298080-1120027506 1534 1.364150+4 1.156710-1 1.465580+4 1.033270-1 1.596580+4 9.041600-2120027506 1535 1.714900+4 8.074200-2 1.820060+4 7.325260-2 1.959340+4 6.511730-2120027506 1536 2.143780+4 5.650660-2 2.373250+4 4.770780-2 2.538970+4 4.259040-2120027506 1537 2.659590+4 3.931010-2 2.861960+4 3.474770-2 3.043120+4 3.124060-2120027506 1538 3.429800+4 2.541800-2 3.763430+4 2.171990-2 4.000000+4 1.951650-2120027506 1539 4.292930+4 1.725800-2 4.564680+4 1.548580-2 4.853490+4 1.387790-2120027506 1540 5.198140+4 1.227720-2 5.601520+4 1.074530-2 6.000000+4 9.366490-3120027506 1541 6.380670+4 8.285420-3 6.701430+4 7.499680-3 7.128470+4 6.620810-3120027506 1542 7.551670+4 5.896040-3 8.000000+4 5.249810-3 8.715240+4 4.424230-3120027506 1543 9.281950+4 3.891170-3 9.894100+4 3.420330-3 1.049120+5 3.038630-3120027506 1544 1.127060+5 2.628170-3 1.206850+5 2.287660-3 1.300540+5 1.965310-3120027506 1545 1.394350+5 1.706470-3 1.463890+5 1.544060-3 1.572750+5 1.335470-3120027506 1546 1.668630+5 1.181700-3 1.771420+5 1.044820-3 1.882240+5 9.219000-4120027506 1547 2.000000+5 8.131940-4 2.151150+5 6.978550-4 2.286410+5 6.140370-4120027506 1548 2.474040+5 5.185370-4 2.563070+5 4.808340-4 2.809850+5 3.947800-4120027506 1549 3.013590+5 3.384550-4 3.293030+5 2.779580-4 3.689100+5 2.146030-4120027506 1550 4.007610+5 1.767840-4 4.411080+5 1.399490-4 4.633750+5 1.239750-4120027506 1551 5.013840+5 1.006970-4 5.551570+5 7.588990-5 6.022760+5 5.939350-5120027506 1552 6.568080+5 4.463210-5 6.992390+5 3.533990-5 7.484420+5 2.654810-5120027506 1553 8.120780+5 1.745830-5 8.820400+5 9.654110-6 9.314270+5 5.492900-6120027506 1554 9.818970+5 1.261220-6 1.000000+6 0.000000+0 1.000000+8 0.000000+0120027506 1555 120027 0 1556 1200 0 0 1557 0 0 0 1558 1.300000+4 2.674980+1 -1 0 2 21300 1451 1 0.000000+0 0.000000+0 0 0 0 61300 1451 2 0.000000+0 0.000000+0 0 0 3 21300 1451 3 0.000000+0 0.000000+0 0 0 131 191300 1451 4 13-AL LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1300 1451 6 ----JEF-2 MATERIAL 1300 REVISION 0 1300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1300 1451 8 ------ENDF-6 FORMAT 1300 1451 9 ******************************************************************1300 1451 10 * JEF-2 *1300 1451 11 * DATA TAKEN FROM EPDL *1300 1451 12 ******************************************************************1300 1451 13 =================================================================1300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1300 1451 15 ENDF/B-VI FORMAT 1300 1451 16 =================================================================1300 1451 17 CONTENTS 1300 1451 18 =================================================================1300 1451 19 MF/MT DESCRIPTION 1300 1451 20 =================================================================1300 1451 21 23/501 TOTAL CROSS SECTION 1300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 35 =================================================================1300 1451 36 27/502 COHERENT SCATTERING FORM FACTORS 1300 1451 37 27/504 INCOHERENT SCATTERING FUNCTIONS 1300 1451 38 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1300 1451 39 27/506 COHERENT REAL SCATTERING FACTOR 1300 1451 40 =================================================================1300 1451 41 WARNING 1300 1451 42 =================================================================1300 1451 43 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1300 1451 44 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1300 1451 45 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1300 1451 46 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1300 1451 47 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1300 1451 48 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1300 1451 49 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1300 1451 50 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1300 1451 51 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1300 1451 52 =================================================================1300 1451 53 DEFINITION OF NEW TYPES OF DATA 1300 1451 54 =================================================================1300 1451 55 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1300 1451 56 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1300 1451 57 1300 1451 58 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1300 1451 59 C2 FIELDS ARE, 1300 1451 60 1300 1451 61 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1300 1451 62 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1300 1451 63 1300 1451 64 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1300 1451 65 1300 1451 66 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1300 1451 67 1300 1451 68 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1300 1451 69 T = THE THOMSON CROSS SECTION 1300 1451 70 MU = THE COSINE OF THE SCATTERING ANGLE 1300 1451 71 FF(M) = THE ATOMIC FORM FACTOR 1300 1451 72 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1300 1451 73 F1(E) = THE REAL SCATTERING FACTOR 1300 1451 74 F2(E) = THE IMAGINARY SCATTERING FACTOR 1300 1451 75 1300 1451 76 F1(E) AND F2(E) ARE ISOTROPIC. 1300 1451 77 1300 1451 78 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1300 1451 79 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1300 1451 80 =================================================================1300 1451 81 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1300 1451 82 =================================================================1300 1451 83 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1300 1451 84 HERE - 10 EV TO 100 MEV 1300 1451 85 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1300 1451 86 - FLUORESCENCE AND ELECTRON SPECTRA 1300 1451 87 HERE - PHOTON INTERACTION 1300 1451 88 - AVERAGE FLUORESCENCE YIELD 1300 1451 89 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1300 1451 90 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1300 1451 91 HERE - NO SECONDARY ENERGY DATA 1300 1451 92 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1300 1451 93 INTERPOLABLE - SUMMATION CROSS SECTIONS 1300 1451 94 (E.G., TOTAL) ARE NOT INCLUDED 1300 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1300 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1300 1451 97 - SCATTERING FACTORS LINEARLY INTERPOLABLE1300 1451 98 (SINCE THEY CAN BE NEGATIVE). 1300 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1300 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 1300 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 1300 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 1300 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 1300 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1300 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE1300 1451 106 =================================================================1300 1451 107 REFERENCES 1300 1451 108 =================================================================1300 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1300 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1300 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1300 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1300 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1300 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1300 1451 115 1300 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1300 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1300 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1300 1451 119 OF THE DATA, ETC. 1300 1451 120 =================================================================1300 1451 121 HISTORY 1300 1451 122 =================================================================1300 1451 123 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1300 1451 124 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1300 1451 125 CROSS SECTIONS. 1300 1451 126 =================================================================1300 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1300 1451 128 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1300 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1300 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1300 1451 131 *RECONSTRUCTED MT NUMBERS 1300 1451 132 516 =+(515,515)+(517,517) 1300 1451 133 522 =+(534,572) 1300 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1300 1451 135 1 451 154 11300 1451 136 23 501 397 11300 1451 137 23 502 94 11300 1451 138 23 504 30 11300 1451 139 23 515 29 11300 1451 140 23 516 57 11300 1451 141 23 517 40 11300 1451 142 23 522 273 21300 1451 143 23 534 53 21300 1451 144 23 535 62 21300 1451 145 23 536 78 21300 1451 146 23 537 78 21300 1451 147 23 538 71 21300 1451 148 23 539 84 21300 1451 149 23 540 85 21300 1451 150 27 502 51 11300 1451 151 27 504 41 11300 1451 152 27 505 75 11300 1451 153 27 506 75 11300 1451 154 1300 1 0 155 1300 0 0 156 1.300000+4 2.674980+1 0 0 0 0130023501 157 0.000000+0 0.000000+0 0 0 1 1180130023501 158 1180 2 0 0 0 0130023501 159 1.000000+1 2.120220+6 1.011820+1 2.013740+6 1.016000+1 1.976080+6130023501 160 1.016000+1 2.098750+6 1.027490+1 1.994050+6 1.032490+1 1.948490+6130023501 161 1.083210+1 1.578170+6 1.086540+1 1.559540+6 1.136430+1 1.280510+6130023501 162 1.154780+1 1.190790+6 1.161600+1 1.157440+6 1.162770+1 1.151810+6130023501 163 1.176550+1 1.085410+6 1.212820+1 9.422580+5 1.245470+1 8.339730+5130023501 164 1.245590+1 8.336540+5 1.272660+1 7.616900+5 1.286400+1 7.260800+5130023501 165 1.304740+1 6.785500+5 1.351030+1 5.856220+5 1.367540+1 5.582700+5130023501 166 1.375780+1 5.451910+5 1.386820+1 5.276670+5 1.442300+1 4.566630+5130023501 167 1.454480+1 4.446940+5 1.477060+1 4.238920+5 1.500000+1 4.027580+5130023501 168 1.512470+1 3.965080+5 1.576030+1 3.646520+5 1.611850+1 3.537690+5130023501 169 1.655920+1 3.421910+5 1.701190+1 3.387220+5 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5.900890+2-1.568110+0130027506 1800 6.367950+2-1.598060+0 7.191450+2-1.671250+0 8.000000+2-1.760150+0130027506 1801 8.786610+2-1.852730+0 9.685910+2-2.005150+0 1.040800+3-2.133620+0130027506 1802 1.137190+3-2.344350+0 1.228630+3-2.613660+0 1.339950+3-3.087660+0130027506 1803 1.413930+3-3.615780+0 1.453540+3-4.069300+0 1.491270+3-4.742750+0130027506 1804 1.507050+3-5.214030+0 1.514690+3-5.539860+0 1.518850+3-5.763820+0130027506 1805 1.521650+3-5.936910+0 1.524210+3-6.112370+0 1.525790+3-6.228690+0130027506 1806 1.527270+3-6.343340+0 1.528660+3-6.455490+0 1.530590+3-6.614470+0130027506 1807 1.532360+3-6.764920+0 1.534490+3-6.944920+0 1.537200+3-7.164990+0130027506 1808 1.540180+3-7.381760+0 1.543520+3-7.572150+0 1.550030+3-7.697370+0130027506 1809 1.556550+3-7.494020+0 1.562410+3-7.069360+0 1.567920+3-6.572450+0130027506 1810 1.575630+3-5.924510+0 1.587810+3-5.120670+0 1.602170+3-4.549840+0130027506 1811 1.629110+3-3.830830+0 1.652670+3-3.376290+0 1.693910+3-2.775620+0130027506 1812 1.727270+3-2.401630+0 1.771420+3-2.000500+0 1.820120+3-1.681560+0130027506 1813 1.941740+3-1.054530+0 2.020140+3-7.287390-1 2.059760+3-5.942790-1130027506 1814 2.179710+3-3.105050-1 2.239960+3-1.855640-1 2.335200+3-3.855930-2130027506 1815 2.391230+3 4.870650-2 2.424030+3 8.972310-2 2.447070+3 1.086710-1130027506 1816 2.541210+3 2.121560-1 2.573540+3 2.441030-1 2.604710+3 2.691530-1130027506 1817 2.644100+3 2.908440-1 2.690020+3 3.218940-1 2.733730+3 3.451590-1130027506 1818 2.765920+3 3.507410-1 2.964180+3 4.507480-1 3.000000+3 4.624280-1130027506 1819 3.213140+3 4.840100-1 3.381560+3 5.164420-1 3.762770+3 5.307100-1130027506 1820 3.998950+3 5.240770-1 4.395060+3 5.123850-1 4.690260+3 4.995920-1130027506 1821 5.038660+3 4.801630-1 5.440610+3 4.544910-1 5.914860+3 4.211860-1130027506 1822 6.272250+3 3.968010-1 6.707400+3 3.697350-1 7.157471+3 3.445910-1130027506 1823 7.736310+3 3.170140-1 8.449880+3 2.870160-1 8.973781+3 2.666150-1130027506 1824 9.734031+3 2.401510-1 1.051990+4 2.166460-1 1.090360+4 2.055000-1130027506 1825 1.190580+4 1.824720-1 1.287460+4 1.635710-1 1.359670+4 1.508510-1130027506 1826 1.465730+4 1.355070-1 1.571090+4 1.224770-1 1.694650+4 1.092190-1130027506 1827 1.843530+4 9.579420-2 1.946420+4 8.771500-2 2.100440+4 7.776660-2130027506 1828 2.194910+4 7.217000-2 2.394870+4 6.278730-2 2.588890+4 5.527560-2130027506 1829 2.723640+4 5.071400-2 2.926550+4 4.503790-2 3.197090+4 3.897200-2130027506 1830 3.541790+4 3.273740-2 3.763430+4 2.949030-2 4.000000+4 2.651430-2130027506 1831 4.310310+4 2.330750-2 4.564680+4 2.104800-2 5.175400+4 1.689240-2130027506 1832 5.601520+4 1.470270-2 6.000000+4 1.300200-2 6.466060+4 1.138260-2130027506 1833 6.925470+4 1.005930-2 7.468690+4 8.655410-3 7.904210+4 7.728520-3130027506 1834 8.471520+4 6.718020-3 8.958729+4 6.002190-3 9.691079+4 5.117640-3130027506 1835 1.009030+5 4.718460-3 1.080120+5 4.105900-3 1.167790+5 3.505820-3130027506 1836 1.249460+5 3.062170-3 1.324320+5 2.718900-3 1.408180+5 2.397330-3130027506 1837 1.502720+5 2.100960-3 1.613680+5 1.812810-3 1.695460+5 1.639220-3130027506 1838 1.822500+5 1.410750-3 1.980790+5 1.187380-3 2.090460+5 1.061120-3130027506 1839 2.225220+5 9.302980-4 2.384550+5 8.053310-4 2.536500+5 7.066470-4130027506 1840 2.696500+5 6.195480-4 2.845560+5 5.500910-4 3.028740+5 4.799040-4130027506 1841 3.272130+5 4.048950-4 3.486430+5 3.502710-4 3.880460+5 2.737910-4130027506 1842 4.153900+5 2.328890-4 4.410200+5 2.007770-4 4.869120+5 1.560540-4130027506 1843 5.046020+5 1.418750-4 5.502370+5 1.116090-4 6.000000+5 8.616640-5130027506 1844 6.382540+5 7.052740-5 7.002560+5 5.036830-5 7.682820+5 3.365680-5130027506 1845 8.226280+5 2.320340-5 9.058790+5 1.061430-5 9.820510+5 2.008530-6130027506 1846 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0130027506 1847 130027 0 1848 1300 0 0 1849 0 0 0 1850 1.400000+4 2.784470+1 -1 0 2 21400 1451 1 0.000000+0 0.000000+0 0 0 0 61400 1451 2 0.000000+0 0.000000+0 0 0 3 21400 1451 3 0.000000+0 0.000000+0 0 0 131 191400 1451 4 14-SI LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1400 1451 6 ----JEF-2 MATERIAL 1400 REVISION 0 1400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1400 1451 8 ------ENDF-6 FORMAT 1400 1451 9 ******************************************************************1400 1451 10 * JEF-2 *1400 1451 11 * DATA TAKEN FROM EPDL *1400 1451 12 ******************************************************************1400 1451 13 =================================================================1400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1400 1451 15 ENDF/B-VI FORMAT 1400 1451 16 =================================================================1400 1451 17 CONTENTS 1400 1451 18 =================================================================1400 1451 19 MF/MT DESCRIPTION 1400 1451 20 =================================================================1400 1451 21 23/501 TOTAL CROSS SECTION 1400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 35 =================================================================1400 1451 36 27/502 COHERENT SCATTERING FORM FACTORS 1400 1451 37 27/504 INCOHERENT SCATTERING FUNCTIONS 1400 1451 38 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1400 1451 39 27/506 COHERENT REAL SCATTERING FACTOR 1400 1451 40 =================================================================1400 1451 41 WARNING 1400 1451 42 =================================================================1400 1451 43 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1400 1451 44 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1400 1451 45 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1400 1451 46 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1400 1451 47 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1400 1451 48 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1400 1451 49 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1400 1451 50 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1400 1451 51 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1400 1451 52 =================================================================1400 1451 53 DEFINITION OF NEW TYPES OF DATA 1400 1451 54 =================================================================1400 1451 55 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1400 1451 56 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1400 1451 57 1400 1451 58 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1400 1451 59 C2 FIELDS ARE, 1400 1451 60 1400 1451 61 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1400 1451 62 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1400 1451 63 1400 1451 64 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1400 1451 65 1400 1451 66 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1400 1451 67 1400 1451 68 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1400 1451 69 T = THE THOMSON CROSS SECTION 1400 1451 70 MU = THE COSINE OF THE SCATTERING ANGLE 1400 1451 71 FF(M) = THE ATOMIC FORM FACTOR 1400 1451 72 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1400 1451 73 F1(E) = THE REAL SCATTERING FACTOR 1400 1451 74 F2(E) = THE IMAGINARY SCATTERING FACTOR 1400 1451 75 1400 1451 76 F1(E) AND F2(E) ARE ISOTROPIC. 1400 1451 77 1400 1451 78 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1400 1451 79 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1400 1451 80 =================================================================1400 1451 81 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1400 1451 82 =================================================================1400 1451 83 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1400 1451 84 HERE - 10 EV TO 100 MEV 1400 1451 85 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1400 1451 86 - FLUORESCENCE AND ELECTRON SPECTRA 1400 1451 87 HERE - PHOTON INTERACTION 1400 1451 88 - AVERAGE FLUORESCENCE YIELD 1400 1451 89 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1400 1451 90 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1400 1451 91 HERE - NO SECONDARY ENERGY DATA 1400 1451 92 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1400 1451 93 INTERPOLABLE - SUMMATION CROSS SECTIONS 1400 1451 94 (E.G., TOTAL) ARE NOT INCLUDED 1400 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1400 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1400 1451 97 - SCATTERING FACTORS LINEARLY INTERPOLABLE1400 1451 98 (SINCE THEY CAN BE NEGATIVE). 1400 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1400 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 1400 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 1400 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 1400 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 1400 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1400 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE1400 1451 106 =================================================================1400 1451 107 REFERENCES 1400 1451 108 =================================================================1400 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1400 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1400 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1400 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1400 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1400 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1400 1451 115 1400 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1400 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1400 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1400 1451 119 OF THE DATA, ETC. 1400 1451 120 =================================================================1400 1451 121 HISTORY 1400 1451 122 =================================================================1400 1451 123 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1400 1451 124 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1400 1451 125 CROSS SECTIONS. 1400 1451 126 =================================================================1400 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1400 1451 128 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1400 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1400 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1400 1451 131 *RECONSTRUCTED MT NUMBERS 1400 1451 132 516 =+(515,515)+(517,517) 1400 1451 133 522 =+(534,572) 1400 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1400 1451 135 1 451 154 11400 1451 136 23 501 398 11400 1451 137 23 502 94 11400 1451 138 23 504 30 11400 1451 139 23 515 29 11400 1451 140 23 516 57 11400 1451 141 23 517 40 11400 1451 142 23 522 273 21400 1451 143 23 534 52 21400 1451 144 23 535 61 21400 1451 145 23 536 75 21400 1451 146 23 537 75 21400 1451 147 23 538 76 21400 1451 148 23 539 84 21400 1451 149 23 540 85 21400 1451 150 27 502 52 11400 1451 151 27 504 42 11400 1451 152 27 505 76 11400 1451 153 27 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3.394530+2-2.226330+0140027506 1800 3.643350+2-2.015850+0 3.900750+2-1.857100+0 4.270950+2-1.710570+0140027506 1801 4.635350+2-1.619760+0 5.082800+2-1.539240+0 5.459810+2-1.502070+0140027506 1802 6.073660+2-1.492770+0 6.428240+2-1.498920+0 7.327120+2-1.518660+0140027506 1803 8.148030+2-1.587160+0 9.059720+2-1.682300+0 1.028150+3-1.807160+0140027506 1804 1.106680+3-1.918530+0 1.228630+3-2.109690+0 1.341180+3-2.326800+0140027506 1805 1.451680+3-2.614940+0 1.580630+3-3.092790+0 1.667990+3-3.625530+0140027506 1806 1.711680+3-4.036370+0 1.759330+3-4.759070+0 1.777940+3-5.231870+0140027506 1807 1.786960+3-5.557690+0 1.791870+3-5.781200+0 1.795180+3-5.953760+0140027506 1808 1.798190+3-6.128600+0 1.800050+3-6.244480+0 1.801800+3-6.358670+0140027506 1809 1.803450+3-6.470390+0 1.805720+3-6.628810+0 1.807810+3-6.778800+0140027506 1810 1.810320+3-6.958410+0 1.813520+3-7.178480+0 1.817030+3-7.396250+0140027506 1811 1.820970+3-7.590500+0 1.827710+3-7.723650+0 1.834450+3-7.601260+0140027506 1812 1.841020+3-7.266050+0 1.847490+3-6.813760+0 1.853860+3-6.343100+0140027506 1813 1.860150+3-5.911190+0 1.872540+3-5.267650+0 1.884540+3-4.814820+0140027506 1814 1.907790+3-4.209580+0 1.951390+3-3.446320+0 1.989540+3-2.961680+0140027506 1815 2.056300+3-2.316500+0 2.106370+3-1.933600+0 2.181480+3-1.465140+0140027506 1816 2.256580+3-1.103280+0 2.377460+3-6.424150-1 2.457260+3-3.961390-1140027506 1817 2.513440+3-2.618780-1 2.637420+3-5.666460-2 2.689690+3 2.532330-2140027506 1818 2.715830+3 5.937830-2 2.728900+3 7.337420-2 2.752930+3 8.911600-2140027506 1819 2.847770+3 1.831250-1 2.872870+3 2.050190-1 2.897070+3 2.215450-1140027506 1820 2.916370+3 2.280560-1 2.956390+3 2.549790-1 3.021270+3 3.012230-1140027506 1821 3.067540+3 3.300080-1 3.102250+3 3.448910-1 3.128730+3 3.473610-1140027506 1822 3.296560+3 4.185950-1 3.324530+3 4.268710-1 3.365170+3 4.314910-1140027506 1823 3.590390+3 4.753130-1 3.864030+3 5.060610-1 4.302310+3 5.368620-1140027506 1824 4.731160+3 5.389460-1 5.165930+3 5.254690-1 5.680420+3 4.945050-1140027506 1825 6.194650+3 4.636990-1 6.676810+3 4.377690-1 7.167980+3 4.111600-1140027506 1826 7.736310+3 3.794920-1 8.458970+3 3.465850-1 9.399441+3 3.047870-1140027506 1827 1.034930+4 2.712590-1 1.103740+4 2.492580-1 1.154580+4 2.349440-1140027506 1828 1.260140+4 2.102570-1 1.426650+4 1.774800-1 1.510440+4 1.632920-1140027506 1829 1.604540+4 1.492390-1 1.731260+4 1.335560-1 1.844990+4 1.209470-1140027506 1830 2.100440+4 9.885480-2 2.276760+4 8.719790-2 2.450900+4 7.770120-2140027506 1831 2.656190+4 6.833540-2 2.815810+4 6.211170-2 3.006700+4 5.574650-2140027506 1832 3.207490+4 5.000730-2 3.456210+4 4.415740-2 3.698290+4 3.933720-2140027506 1833 3.989380+4 3.458680-2 4.350240+4 2.986550-2 4.600450+4 2.708650-2140027506 1834 4.887600+4 2.438700-2 5.319170+4 2.109000-2 5.885200+4 1.764560-2140027506 1835 6.272390+4 1.575750-2 6.648960+4 1.418790-2 7.160360+4 1.243350-2140027506 1836 7.662679+4 1.100420-2 8.574490+4 8.920410-3 9.375560+4 7.456240-3140027506 1837 1.009030+5 6.430940-3 1.080120+5 5.605290-3 1.143200+5 4.998710-3140027506 1838 1.220830+5 4.370260-3 1.291590+5 3.894030-3 1.410350+5 3.256810-3140027506 1839 1.514850+5 2.817480-3 1.604630+5 2.504880-3 1.695460+5 2.236490-3140027506 1840 1.798500+5 1.979590-3 1.946360+5 1.680330-3 2.051330+5 1.503720-3140027506 1841 2.213360+5 1.283810-3 2.403670+5 1.079590-3 2.574930+5 9.302520-4140027506 1842 2.752930+5 8.071550-4 2.919970+5 7.094420-4 3.109840+5 6.170110-4140027506 1843 3.311840+5 5.362540-4 3.542840+5 4.602860-4 3.899740+5 3.683250-4140027506 1844 4.153900+5 3.167760-4 4.589650+5 2.476270-4 5.051580+5 1.931950-4140027506 1845 5.502370+5 1.522670-4 5.841390+5 1.275770-4 6.532200+5 8.893870-5140027506 1846 7.085680+5 6.552480-5 7.563120+5 4.945110-5 8.340270+5 2.893140-5140027506 1847 9.058790+5 1.474440-5 9.197270+5 1.205250-5 1.000000+6 0.000000+0140027506 1848 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0140027506 1849 140027 0 1850 1400 0 0 1851 0 0 0 1852 1.500000+4 3.070770+1 -1 0 2 21500 1451 1 0.000000+0 0.000000+0 0 0 0 61500 1451 2 0.000000+0 0.000000+0 0 0 3 21500 1451 3 0.000000+0 0.000000+0 0 0 131 191500 1451 4 15-P LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1500 1451 6 ----JEF-2 MATERIAL 1500 REVISION 0 1500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1500 1451 8 ------ENDF-6 FORMAT 1500 1451 9 ******************************************************************1500 1451 10 * JEF-2 *1500 1451 11 * DATA TAKEN FROM EPDL *1500 1451 12 ******************************************************************1500 1451 13 =================================================================1500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1500 1451 15 ENDF/B-VI FORMAT 1500 1451 16 =================================================================1500 1451 17 CONTENTS 1500 1451 18 =================================================================1500 1451 19 MF/MT DESCRIPTION 1500 1451 20 =================================================================1500 1451 21 23/501 TOTAL CROSS SECTION 1500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 35 =================================================================1500 1451 36 27/502 COHERENT SCATTERING FORM FACTORS 1500 1451 37 27/504 INCOHERENT SCATTERING FUNCTIONS 1500 1451 38 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1500 1451 39 27/506 COHERENT REAL SCATTERING FACTOR 1500 1451 40 =================================================================1500 1451 41 WARNING 1500 1451 42 =================================================================1500 1451 43 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1500 1451 44 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1500 1451 45 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1500 1451 46 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1500 1451 47 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1500 1451 48 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1500 1451 49 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1500 1451 50 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1500 1451 51 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1500 1451 52 =================================================================1500 1451 53 DEFINITION OF NEW TYPES OF DATA 1500 1451 54 =================================================================1500 1451 55 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1500 1451 56 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1500 1451 57 1500 1451 58 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1500 1451 59 C2 FIELDS ARE, 1500 1451 60 1500 1451 61 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1500 1451 62 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1500 1451 63 1500 1451 64 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1500 1451 65 1500 1451 66 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1500 1451 67 1500 1451 68 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1500 1451 69 T = THE THOMSON CROSS SECTION 1500 1451 70 MU = THE COSINE OF THE SCATTERING ANGLE 1500 1451 71 FF(M) = THE ATOMIC FORM FACTOR 1500 1451 72 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1500 1451 73 F1(E) = THE REAL SCATTERING FACTOR 1500 1451 74 F2(E) = THE IMAGINARY SCATTERING FACTOR 1500 1451 75 1500 1451 76 F1(E) AND F2(E) ARE ISOTROPIC. 1500 1451 77 1500 1451 78 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1500 1451 79 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1500 1451 80 =================================================================1500 1451 81 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1500 1451 82 =================================================================1500 1451 83 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1500 1451 84 HERE - 10 EV TO 100 MEV 1500 1451 85 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1500 1451 86 - FLUORESCENCE AND ELECTRON SPECTRA 1500 1451 87 HERE - PHOTON INTERACTION 1500 1451 88 - AVERAGE FLUORESCENCE YIELD 1500 1451 89 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1500 1451 90 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1500 1451 91 HERE - NO SECONDARY ENERGY DATA 1500 1451 92 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1500 1451 93 INTERPOLABLE - SUMMATION CROSS SECTIONS 1500 1451 94 (E.G., TOTAL) ARE NOT INCLUDED 1500 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1500 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1500 1451 97 - SCATTERING FACTORS LINEARLY INTERPOLABLE1500 1451 98 (SINCE THEY CAN BE NEGATIVE). 1500 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1500 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 1500 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 1500 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 1500 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 1500 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1500 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE1500 1451 106 =================================================================1500 1451 107 REFERENCES 1500 1451 108 =================================================================1500 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1500 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1500 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1500 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1500 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1500 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1500 1451 115 1500 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1500 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1500 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1500 1451 119 OF THE DATA, ETC. 1500 1451 120 =================================================================1500 1451 121 HISTORY 1500 1451 122 =================================================================1500 1451 123 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1500 1451 124 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1500 1451 125 CROSS SECTIONS. 1500 1451 126 =================================================================1500 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1500 1451 128 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1500 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1500 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1500 1451 131 *RECONSTRUCTED MT NUMBERS 1500 1451 132 516 =+(515,515)+(517,517) 1500 1451 133 522 =+(534,572) 1500 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1500 1451 135 1 451 154 11500 1451 136 23 501 401 11500 1451 137 23 502 95 11500 1451 138 23 504 31 11500 1451 139 23 515 29 11500 1451 140 23 516 57 11500 1451 141 23 517 40 11500 1451 142 23 522 270 21500 1451 143 23 534 51 21500 1451 144 23 535 60 21500 1451 145 23 536 74 21500 1451 146 23 537 75 21500 1451 147 23 538 70 21500 1451 148 23 539 85 21500 1451 149 23 540 85 21500 1451 150 27 502 51 11500 1451 151 27 504 41 11500 1451 152 27 505 75 11500 1451 153 27 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3.464100+1-1.301060+1 4.000000+1-1.298500+1150027506 1775 4.728710+1-1.287790+1 6.000000+1-1.266950+1 8.090870+1-1.259170+1150027506 1776 9.559580+1-1.293160+1 1.115810+2-1.375390+1 1.225780+2-1.489080+1150027506 1777 1.280760+2-1.586820+1 1.308250+2-1.660780+1 1.340150+2-1.786160+1150027506 1778 1.353460+2-1.872910+1 1.359070+2-1.923100+1 1.363010+2-1.964930+1150027506 1779 1.366240+2-2.003130+1 1.368510+2-2.031540+1 1.371240+2-2.066920+1150027506 1780 1.374200+2-2.104810+1 1.377210+2-2.141410+1 1.380440+2-2.175510+1150027506 1781 1.385890+2-2.216500+1 1.394440+2-2.229730+1 1.403540+2-2.193500+1150027506 1782 1.412240+2-2.124190+1 1.422680+2-2.032270+1 1.432990+2-1.944810+1150027506 1783 1.455900+2-1.799060+1 1.484230+2-1.673140+1 1.533810+2-1.528480+1150027506 1784 1.614050+2-1.370860+1 1.682560+2-1.267790+1 1.794200+2-1.165540+1150027506 1785 1.832810+2-1.164900+1 1.852890+2-1.189770+1 1.863800+2-1.202190+1150027506 1786 1.876980+2-1.190760+1 1.893520+2-1.140740+1 1.909110+2-1.091060+1150027506 1787 1.938970+2-1.029170+1 2.021420+2-9.134290+0 2.108040+2-8.199650+0150027506 1788 2.256200+2-6.972350+0 2.418550+2-5.876000+0 2.676670+2-4.664980+0150027506 1789 2.767040+2-4.343630+0 2.999750+2-3.631740+0 3.273700+2-3.049980+0150027506 1790 3.394530+2-2.849400+0 3.728900+2-2.408620+0 4.000000+2-2.144880+0150027506 1791 4.220170+2-1.963220+0 4.410200+2-1.868210+0 4.868250+2-1.683130+0150027506 1792 5.287050+2-1.564470+0 5.666490+2-1.491220+0 6.073660+2-1.446890+0150027506 1793 6.825550+2-1.430700+0 7.610320+2-1.443130+0 8.477410+2-1.466670+0150027506 1794 9.061720+2-1.505430+0 1.000000+3-1.586680+0 1.111740+3-1.687900+0150027506 1795 1.228830+3-1.807180+0 1.323340+3-1.930570+0 1.418980+3-2.056610+0150027506 1796 1.568590+3-2.307340+0 1.691560+3-2.581570+0 1.844570+3-3.071350+0150027506 1797 1.943310+3-3.592040+0 1.998750+3-4.064380+0 2.049810+3-4.736920+0150027506 1798 2.071500+3-5.216390+0 2.082000+3-5.548250+0 2.087730+3-5.776440+0150027506 1799 2.091570+3-5.952820+0 2.095080+3-6.131650+0 2.097260+3-6.250210+0150027506 1800 2.099300+3-6.367060+0 2.101210+3-6.481370+0 2.103860+3-6.643420+0150027506 1801 2.106300+3-6.796770+0 2.109220+3-6.980220+0 2.112940+3-7.204470+0150027506 1802 2.117040+3-7.425250+0 2.121630+3-7.618880+0 2.130650+3-7.745350+0150027506 1803 2.139670+3-7.531190+0 2.148030+3-7.076560+0 2.156040+3-6.540300+0150027506 1804 2.166170+3-5.906150+0 2.175830+3-5.393490+0 2.189250+3-4.875250+0150027506 1805 2.214420+3-4.227620+0 2.258450+3-3.472840+0 2.291470+3-3.059230+0150027506 1806 2.341010+3-2.576250+0 2.390550+3-2.217580+0 2.479200+3-1.719870+0150027506 1807 2.567850+3-1.333940+0 2.685450+3-9.498400-1 2.896130+3-4.757170-1150027506 1808 2.981880+3-3.068160-1 3.024750+3-2.344450-1 3.183230+3-3.442040-2150027506 1809 3.241030+3 3.086800-2 3.284380+3 6.949470-2 3.311840+3 8.249860-2150027506 1810 3.362950+3 1.207370-1 3.449850+3 1.893140-1 3.488720+3 2.153700-1150027506 1811 3.518210+3 2.295040-1 3.603660+3 2.790560-1 3.661740+3 3.068870-1150027506 1812 3.708540+3 3.169050-1 3.927130+3 4.066020-1 3.963570+3 4.177170-1150027506 1813 4.048540+3 4.291790-1 4.303350+3 4.985910-1 4.731160+3 5.333990-1150027506 1814 5.302550+3 5.369610-1 5.833210+3 5.303180-1 6.286300+3 5.146520-1150027506 1815 6.876931+3 4.911060-1 7.365560+3 4.639310-1 7.736310+3 4.434360-1150027506 1816 8.275821+3 4.160750-1 8.813290+3 3.901330-1 9.727451+3 3.532360-1150027506 1817 1.051990+4 3.246430-1 1.124300+4 3.000630-1 1.198790+4 2.764200-1150027506 1818 1.315870+4 2.459070-1 1.478200+4 2.100610-1 1.591060+4 1.900340-1150027506 1819 1.689290+4 1.742030-1 1.816000+4 1.573440-1 1.943610+4 1.428710-1150027506 1820 2.102730+4 1.274460-1 2.276760+4 1.128330-1 2.426740+4 1.019200-1150027506 1821 2.654110+4 8.860460-2 2.944740+4 7.479050-2 3.215270+4 6.495420-2150027506 1822 3.429800+4 5.834350-2 3.640120+4 5.288020-2 3.904740+4 4.712050-2150027506 1823 4.203430+4 4.164810-2 4.483170+4 3.733430-2 4.785900+4 3.336790-2150027506 1824 5.175400+4 2.918030-2 5.555290+4 2.580380-2 5.908040+4 2.313730-2150027506 1825 6.395620+4 2.014450-2 6.891210+4 1.766520-2 7.268360+4 1.604380-2150027506 1826 7.748279+4 1.431310-2 8.213900+4 1.288010-2 8.932960+4 1.109410-2150027506 1827 9.551490+4 9.809510-3 1.009780+5 8.758530-3 1.089990+5 7.503570-3150027506 1828 1.182690+5 6.371290-3 1.255090+5 5.651120-3 1.334400+5 4.978730-3150027506 1829 1.426650+5 4.352940-3 1.606610+5 3.409960-3 1.740740+5 2.888210-3150027506 1830 1.861210+5 2.514190-3 1.980790+5 2.209990-3 2.151150+5 1.862420-3150027506 1831 2.292120+5 1.630280-3 2.491930+5 1.363200-3 2.624580+5 1.224530-3150027506 1832 2.820690+5 1.045040-3 3.022420+5 8.988140-4 3.284540+5 7.458490-4150027506 1833 3.689100+5 5.726660-4 4.000000+5 4.736790-4 4.448830+5 3.658640-4150027506 1834 4.625150+5 3.321270-4 5.047660+5 2.643990-4 5.572010+5 2.005570-4150027506 1835 6.061100+5 1.556840-4 6.568210+5 1.190900-4 6.992390+5 9.430920-5150027506 1836 7.484420+5 7.085590-5 8.142170+5 4.593980-5 8.820400+5 2.575160-5150027506 1837 9.197270+5 1.704670-5 9.656130+5 6.573530-6 1.000000+6 0.000000+0150027506 1838 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0150027506 1839 150027 0 1840 1500 0 0 1841 0 0 0 1842 1.600000+4 3.178460+1 -1 0 2 21600 1451 1 0.000000+0 0.000000+0 0 0 0 61600 1451 2 0.000000+0 0.000000+0 0 0 3 21600 1451 3 0.000000+0 0.000000+0 0 0 131 191600 1451 4 16-S LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1600 1451 6 ----JEF-2 MATERIAL 1600 REVISION 0 1600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1600 1451 8 ------ENDF-6 FORMAT 1600 1451 9 ******************************************************************1600 1451 10 * JEF-2 *1600 1451 11 * DATA TAKEN FROM EPDL *1600 1451 12 ******************************************************************1600 1451 13 =================================================================1600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1600 1451 15 ENDF/B-VI FORMAT 1600 1451 16 =================================================================1600 1451 17 CONTENTS 1600 1451 18 =================================================================1600 1451 19 MF/MT DESCRIPTION 1600 1451 20 =================================================================1600 1451 21 23/501 TOTAL CROSS SECTION 1600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 35 =================================================================1600 1451 36 27/502 COHERENT SCATTERING FORM FACTORS 1600 1451 37 27/504 INCOHERENT SCATTERING FUNCTIONS 1600 1451 38 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1600 1451 39 27/506 COHERENT REAL SCATTERING FACTOR 1600 1451 40 =================================================================1600 1451 41 WARNING 1600 1451 42 =================================================================1600 1451 43 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1600 1451 44 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1600 1451 45 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1600 1451 46 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1600 1451 47 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1600 1451 48 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1600 1451 49 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1600 1451 50 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1600 1451 51 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1600 1451 52 =================================================================1600 1451 53 DEFINITION OF NEW TYPES OF DATA 1600 1451 54 =================================================================1600 1451 55 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1600 1451 56 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1600 1451 57 1600 1451 58 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1600 1451 59 C2 FIELDS ARE, 1600 1451 60 1600 1451 61 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1600 1451 62 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1600 1451 63 1600 1451 64 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1600 1451 65 1600 1451 66 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1600 1451 67 1600 1451 68 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1600 1451 69 T = THE THOMSON CROSS SECTION 1600 1451 70 MU = THE COSINE OF THE SCATTERING ANGLE 1600 1451 71 FF(M) = THE ATOMIC FORM FACTOR 1600 1451 72 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1600 1451 73 F1(E) = THE REAL SCATTERING FACTOR 1600 1451 74 F2(E) = THE IMAGINARY SCATTERING FACTOR 1600 1451 75 1600 1451 76 F1(E) AND F2(E) ARE ISOTROPIC. 1600 1451 77 1600 1451 78 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1600 1451 79 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1600 1451 80 =================================================================1600 1451 81 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1600 1451 82 =================================================================1600 1451 83 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1600 1451 84 HERE - 10 EV TO 100 MEV 1600 1451 85 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1600 1451 86 - FLUORESCENCE AND ELECTRON SPECTRA 1600 1451 87 HERE - PHOTON INTERACTION 1600 1451 88 - AVERAGE FLUORESCENCE YIELD 1600 1451 89 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1600 1451 90 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1600 1451 91 HERE - NO SECONDARY ENERGY DATA 1600 1451 92 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1600 1451 93 INTERPOLABLE - SUMMATION CROSS SECTIONS 1600 1451 94 (E.G., TOTAL) ARE NOT INCLUDED 1600 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1600 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1600 1451 97 - SCATTERING FACTORS LINEARLY INTERPOLABLE1600 1451 98 (SINCE THEY CAN BE NEGATIVE). 1600 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1600 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 1600 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 1600 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 1600 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 1600 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1600 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE1600 1451 106 =================================================================1600 1451 107 REFERENCES 1600 1451 108 =================================================================1600 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1600 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1600 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1600 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1600 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1600 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1600 1451 115 1600 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1600 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1600 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1600 1451 119 OF THE DATA, ETC. 1600 1451 120 =================================================================1600 1451 121 HISTORY 1600 1451 122 =================================================================1600 1451 123 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1600 1451 124 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1600 1451 125 CROSS SECTIONS. 1600 1451 126 =================================================================1600 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1600 1451 128 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1600 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1600 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1600 1451 131 *RECONSTRUCTED MT NUMBERS 1600 1451 132 516 =+(515,515)+(517,517) 1600 1451 133 522 =+(534,572) 1600 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1600 1451 135 1 451 154 11600 1451 136 23 501 397 11600 1451 137 23 502 110 11600 1451 138 23 504 31 11600 1451 139 23 515 29 11600 1451 140 23 516 58 11600 1451 141 23 517 41 11600 1451 142 23 522 252 21600 1451 143 23 534 51 21600 1451 144 23 535 59 21600 1451 145 23 536 73 21600 1451 146 23 537 73 21600 1451 147 23 538 68 21600 1451 148 23 539 86 21600 1451 149 23 540 86 21600 1451 150 27 502 50 11600 1451 151 27 504 41 11600 1451 152 27 505 90 11600 1451 153 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21700 1451 3 0.000000+0 0.000000+0 0 0 131 191700 1451 4 17-CL LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1700 1451 6 ----JEF-2 MATERIAL 1700 REVISION 0 1700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1700 1451 8 ------ENDF-6 FORMAT 1700 1451 9 ******************************************************************1700 1451 10 * JEF-2 *1700 1451 11 * DATA TAKEN FROM EPDL *1700 1451 12 ******************************************************************1700 1451 13 =================================================================1700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1700 1451 15 ENDF/B-VI FORMAT 1700 1451 16 =================================================================1700 1451 17 CONTENTS 1700 1451 18 =================================================================1700 1451 19 MF/MT DESCRIPTION 1700 1451 20 =================================================================1700 1451 21 23/501 TOTAL CROSS SECTION 1700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 35 =================================================================1700 1451 36 27/502 COHERENT SCATTERING FORM FACTORS 1700 1451 37 27/504 INCOHERENT SCATTERING FUNCTIONS 1700 1451 38 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1700 1451 39 27/506 COHERENT REAL SCATTERING FACTOR 1700 1451 40 =================================================================1700 1451 41 WARNING 1700 1451 42 =================================================================1700 1451 43 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1700 1451 44 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1700 1451 45 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1700 1451 46 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1700 1451 47 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1700 1451 48 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1700 1451 49 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1700 1451 50 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1700 1451 51 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1700 1451 52 =================================================================1700 1451 53 DEFINITION OF NEW TYPES OF DATA 1700 1451 54 =================================================================1700 1451 55 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1700 1451 56 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1700 1451 57 1700 1451 58 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1700 1451 59 C2 FIELDS ARE, 1700 1451 60 1700 1451 61 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1700 1451 62 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1700 1451 63 1700 1451 64 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1700 1451 65 1700 1451 66 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1700 1451 67 1700 1451 68 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1700 1451 69 T = THE THOMSON CROSS SECTION 1700 1451 70 MU = THE COSINE OF THE SCATTERING ANGLE 1700 1451 71 FF(M) = THE ATOMIC FORM FACTOR 1700 1451 72 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1700 1451 73 F1(E) = THE REAL SCATTERING FACTOR 1700 1451 74 F2(E) = THE IMAGINARY SCATTERING FACTOR 1700 1451 75 1700 1451 76 F1(E) AND F2(E) ARE ISOTROPIC. 1700 1451 77 1700 1451 78 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1700 1451 79 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1700 1451 80 =================================================================1700 1451 81 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1700 1451 82 =================================================================1700 1451 83 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1700 1451 84 HERE - 10 EV TO 100 MEV 1700 1451 85 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1700 1451 86 - FLUORESCENCE AND ELECTRON SPECTRA 1700 1451 87 HERE - PHOTON INTERACTION 1700 1451 88 - AVERAGE FLUORESCENCE YIELD 1700 1451 89 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1700 1451 90 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1700 1451 91 HERE - NO SECONDARY ENERGY DATA 1700 1451 92 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1700 1451 93 INTERPOLABLE - SUMMATION CROSS SECTIONS 1700 1451 94 (E.G., TOTAL) ARE NOT INCLUDED 1700 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1700 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1700 1451 97 - SCATTERING FACTORS LINEARLY INTERPOLABLE1700 1451 98 (SINCE THEY CAN BE NEGATIVE). 1700 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1700 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 1700 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 1700 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 1700 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 1700 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1700 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE1700 1451 106 =================================================================1700 1451 107 REFERENCES 1700 1451 108 =================================================================1700 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1700 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1700 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1700 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1700 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1700 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1700 1451 115 1700 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1700 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1700 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1700 1451 119 OF THE DATA, ETC. 1700 1451 120 =================================================================1700 1451 121 HISTORY 1700 1451 122 =================================================================1700 1451 123 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1700 1451 124 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1700 1451 125 CROSS SECTIONS. 1700 1451 126 =================================================================1700 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1700 1451 128 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1700 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1700 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1700 1451 131 *RECONSTRUCTED MT NUMBERS 1700 1451 132 516 =+(515,515)+(517,517) 1700 1451 133 522 =+(534,572) 1700 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1700 1451 135 1 451 154 11700 1451 136 23 501 396 11700 1451 137 23 502 126 11700 1451 138 23 504 31 11700 1451 139 23 515 29 11700 1451 140 23 516 57 11700 1451 141 23 517 40 11700 1451 142 23 522 238 21700 1451 143 23 534 50 21700 1451 144 23 535 59 21700 1451 145 23 536 73 21700 1451 146 23 537 73 21700 1451 147 23 538 66 21700 1451 148 23 539 85 21700 1451 149 23 540 85 21700 1451 150 27 502 52 11700 1451 151 27 504 42 11700 1451 152 27 505 104 11700 1451 153 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9.812470+3 4.576440-1 1.058910+4 4.288300-1 1.103740+4 4.116180-1170027506 1862 1.198790+4 3.796300-1 1.273620+4 3.527460-1 1.360440+4 3.271540-1170027506 1863 1.500000+4 2.912020-1 1.586740+4 2.707610-1 1.681260+4 2.516050-1170027506 1864 1.816000+4 2.279300-1 1.935950+4 2.091380-1 2.088550+4 1.886720-1170027506 1865 2.188780+4 1.757840-1 2.381160+4 1.560550-1 2.581430+4 1.387590-1170027506 1866 2.723640+4 1.277510-1 2.922090+4 1.149800-1 3.132820+4 1.032520-1170027506 1867 3.389300+4 9.130960-2 3.640120+4 8.139020-2 3.892840+4 7.291330-2170027506 1868 4.262790+4 6.288850-2 4.389830+4 5.974640-2 4.789740+4 5.177600-2170027506 1869 5.156270+4 4.575380-2 5.447280+4 4.161240-2 5.805490+4 3.731300-2170027506 1870 6.395620+4 3.175210-2 6.772190+4 2.871020-2 7.274680+4 2.534670-2170027506 1871 7.841000+4 2.223150-2 8.420279+4 1.959380-2 8.958740+4 1.753460-2170027506 1872 9.825429+4 1.489230-2 1.080120+5 1.251680-2 1.182690+5 1.062990-2170027506 1873 1.231610+5 9.844140-3 1.324320+5 8.504110-3 1.414210+5 7.439260-3170027506 1874 1.500390+5 6.596900-3 1.611850+5 5.695080-3 1.743840+5 4.842860-3170027506 1875 1.843360+5 4.313740-3 1.960570+5 3.792190-3 2.092610+5 3.312400-3170027506 1876 2.220390+5 2.925360-3 2.417230+5 2.446710-3 2.576840+5 2.136050-3170027506 1877 2.789420+5 1.796700-3 2.941240+5 1.606230-3 3.165470+5 1.361280-3170027506 1878 3.471900+5 1.108040-3 3.747110+5 9.304570-4 4.050000+5 7.727180-4170027506 1879 4.318900+5 6.617650-4 4.625150+5 5.570100-4 4.988090+5 4.588150-4170027506 1880 5.289210+5 3.904230-4 5.798350+5 2.999510-4 6.188320+5 2.443420-4170027506 1881 6.685370+5 1.876230-4 7.464500+5 1.205210-4 7.846170+5 9.474980-5170027506 1882 8.542780+5 5.618170-5 9.058790+5 3.316390-5 9.197270+5 2.822040-5170027506 1883 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0170027506 1884 170027 0 1885 1700 0 0 1886 0 0 0 1887 1.800000+4 3.960480+1 -1 0 2 21800 1451 1 0.000000+0 0.000000+0 0 0 0 61800 1451 2 0.000000+0 0.000000+0 0 0 3 21800 1451 3 0.000000+0 0.000000+0 0 0 131 191800 1451 4 18-AR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1800 1451 6 ----JEF-2 MATERIAL 1800 REVISION 0 1800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1800 1451 8 ------ENDF-6 FORMAT 1800 1451 9 ******************************************************************1800 1451 10 * JEF-2 *1800 1451 11 * DATA TAKEN FROM EPDL *1800 1451 12 ******************************************************************1800 1451 13 =================================================================1800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1800 1451 15 ENDF/B-VI FORMAT 1800 1451 16 =================================================================1800 1451 17 CONTENTS 1800 1451 18 =================================================================1800 1451 19 MF/MT DESCRIPTION 1800 1451 20 =================================================================1800 1451 21 23/501 TOTAL CROSS SECTION 1800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 35 =================================================================1800 1451 36 27/502 COHERENT SCATTERING FORM FACTORS 1800 1451 37 27/504 INCOHERENT SCATTERING FUNCTIONS 1800 1451 38 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1800 1451 39 27/506 COHERENT REAL SCATTERING FACTOR 1800 1451 40 =================================================================1800 1451 41 WARNING 1800 1451 42 =================================================================1800 1451 43 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1800 1451 44 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1800 1451 45 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1800 1451 46 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1800 1451 47 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1800 1451 48 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1800 1451 49 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1800 1451 50 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1800 1451 51 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1800 1451 52 =================================================================1800 1451 53 DEFINITION OF NEW TYPES OF DATA 1800 1451 54 =================================================================1800 1451 55 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1800 1451 56 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1800 1451 57 1800 1451 58 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1800 1451 59 C2 FIELDS ARE, 1800 1451 60 1800 1451 61 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1800 1451 62 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1800 1451 63 1800 1451 64 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1800 1451 65 1800 1451 66 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1800 1451 67 1800 1451 68 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1800 1451 69 T = THE THOMSON CROSS SECTION 1800 1451 70 MU = THE COSINE OF THE SCATTERING ANGLE 1800 1451 71 FF(M) = THE ATOMIC FORM FACTOR 1800 1451 72 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1800 1451 73 F1(E) = THE REAL SCATTERING FACTOR 1800 1451 74 F2(E) = THE IMAGINARY SCATTERING FACTOR 1800 1451 75 1800 1451 76 F1(E) AND F2(E) ARE ISOTROPIC. 1800 1451 77 1800 1451 78 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1800 1451 79 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1800 1451 80 =================================================================1800 1451 81 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1800 1451 82 =================================================================1800 1451 83 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1800 1451 84 HERE - 10 EV TO 100 MEV 1800 1451 85 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1800 1451 86 - FLUORESCENCE AND ELECTRON SPECTRA 1800 1451 87 HERE - PHOTON INTERACTION 1800 1451 88 - AVERAGE FLUORESCENCE YIELD 1800 1451 89 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1800 1451 90 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1800 1451 91 HERE - NO SECONDARY ENERGY DATA 1800 1451 92 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1800 1451 93 INTERPOLABLE - SUMMATION CROSS SECTIONS 1800 1451 94 (E.G., TOTAL) ARE NOT INCLUDED 1800 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1800 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1800 1451 97 - SCATTERING FACTORS LINEARLY INTERPOLABLE1800 1451 98 (SINCE THEY CAN BE NEGATIVE). 1800 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1800 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 1800 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 1800 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 1800 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 1800 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1800 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE1800 1451 106 =================================================================1800 1451 107 REFERENCES 1800 1451 108 =================================================================1800 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1800 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1800 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1800 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1800 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1800 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1800 1451 115 1800 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1800 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1800 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1800 1451 119 OF THE DATA, ETC. 1800 1451 120 =================================================================1800 1451 121 HISTORY 1800 1451 122 =================================================================1800 1451 123 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1800 1451 124 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1800 1451 125 CROSS SECTIONS. 1800 1451 126 =================================================================1800 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1800 1451 128 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1800 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1800 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1800 1451 131 *RECONSTRUCTED MT NUMBERS 1800 1451 132 516 =+(515,515)+(517,517) 1800 1451 133 522 =+(534,572) 1800 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1800 1451 135 1 451 154 11800 1451 136 23 501 401 11800 1451 137 23 502 129 11800 1451 138 23 504 31 11800 1451 139 23 515 30 11800 1451 140 23 516 58 11800 1451 141 23 517 41 11800 1451 142 23 522 238 21800 1451 143 23 534 50 21800 1451 144 23 535 57 21800 1451 145 23 536 72 21800 1451 146 23 537 72 21800 1451 147 23 538 65 21800 1451 148 23 539 83 21800 1451 149 23 540 83 21800 1451 150 27 502 49 11800 1451 151 27 504 39 11800 1451 152 27 505 107 11800 1451 153 27 506 107 11800 1451 154 1800 1 0 155 1800 0 0 156 1.800000+4 3.960480+1 0 0 0 0180023501 157 0.000000+0 0.000000+0 0 0 1 1192180023501 158 1192 2 0 0 0 0180023501 159 1.000000+1 2.419570+0 1.039710+1 3.150550+0 1.070530+1 3.840370+0180023501 160 1.118470+1 5.168350+0 1.154780+1 6.463880+0 1.168560+1 6.955550+0180023501 161 1.200480+1 8.737500+0 1.233280+1 1.097600+1 1.254030+1 1.300150+1180023501 162 1.285810+1 1.676170+1 1.318400+1 2.160940+1 1.321580+1 2.240110+1180023501 163 1.339510+1 2.686480+1 1.360960+1 3.339830+1 1.385280+1 4.409200+1180023501 164 1.385340+1 4.412780+1 1.385790+1 4.441000+1 1.386450+1 4.483270+1180023501 165 1.387110+1 4.525750+1 1.387770+1 4.568430+1 1.388410+1 4.610980+1180023501 166 1.389050+1 4.653840+1 1.389680+1 4.696670+1 1.390300+1 4.739580+1180023501 167 1.390920+1 4.782800+1 1.391520+1 4.825770+1 1.392120+1 4.869040+1180023501 168 1.392720+1 4.912620+1 1.393310+1 4.956160+1 1.393890+1 4.999780+1180023501 169 1.394460+1 5.043480+1 1.395210+1 5.101920+1 1.395960+1 5.160930+1180023501 170 1.396690+1 5.220040+1 1.397410+1 5.279260+1 1.398120+1 5.338920+1180023501 171 1.398820+1 5.398920+1 1.399510+1 5.459020+1 1.400180+1 5.519330+1180023501 172 1.400850+1 5.580090+1 1.401510+1 5.641180+1 1.402150+1 5.702360+1180023501 173 1.403100+1 5.795000+1 1.404030+1 5.890760+1 1.404940+1 5.989080+1180023501 174 1.405820+1 6.088460+1 1.406690+1 6.189560+1 1.407530+1 6.291360+1180023501 175 1.408080+1 6.360130+1 1.409230+1 6.508510+1 1.410210+1 6.642390+1180023501 176 1.411230+1 6.787030+1 1.412240+1 6.937320+1 1.413170+1 7.083500+1180023501 177 1.414100+1 7.235250+1 1.415430+1 7.466000+1 1.416700+1 7.700890+1180023501 178 1.417930+1 7.943480+1 1.419080+1 8.182030+1 1.420610+1 8.522340+1180023501 179 1.421930+1 8.835180+1 1.423230+1 9.162130+1 1.425020+1 9.640690+1180023501 180 1.426670+1 1.011200+2 1.428780+1 1.074690+2 1.431180+1 1.150440+2180023501 181 1.434070+1 1.244590+2 1.437060+1 1.343070+2 1.442410+1 1.499790+2180023501 182 1.443000+1 1.510710+2 1.443000+1 3.387370+7 1.454360+1 3.462830+7180023501 183 1.460550+1 3.503940+7 1.462000+1 3.513570+7 1.462000+1 5.183050+7180023501 184 1.469210+1 5.253620+7 1.473230+1 5.292960+7 1.479920+1 5.358430+7180023501 185 1.489640+1 5.453560+7 1.499770+1 5.552700+7 1.500000+1 5.554950+7180023501 186 1.505960+1 5.605430+7 1.554920+1 6.020150+7 1.655920+1 6.519970+7180023501 187 1.688590+1 6.527900+7 1.735950+1 6.539400+7 1.766950+1 6.513060+7180023501 188 1.798500+1 6.401730+7 1.846890+1 6.179530+7 1.866790+1 6.051490+7180023501 189 1.887140+1 5.920560+7 1.896570+1 5.859890+7 1.947600+1 5.482780+7180023501 190 1.950590+1 5.457730+7 2.000000+1 5.043790+7 2.032920+1 4.742530+7180023501 191 2.089900+1 4.221080+7 2.093810+1 4.185300+7 2.094430+1 4.179820+7180023501 192 2.134700+1 3.823430+7 2.179510+1 3.426870+7 2.223400+1 3.063410+7180023501 193 2.257360+1 2.782180+7 2.267300+1 2.717650+7 2.337990+1 2.258780+7180023501 194 2.368960+1 2.076280+7 2.400350+1 1.891310+7 2.464370+1 1.583620+7180023501 195 2.468850+1 1.564480+7 2.525710+1 1.321560+7 2.546440+1 1.248530+7180023501 196 2.553020+1 1.225350+7 2.580630+1 1.128090+7 2.629660+1 9.821820+6180023501 197 2.717720+1 7.707770+6 2.729650+1 7.482930+6 2.785700+1 6.426590+6180023501 198 2.837790+1 5.607510+6 2.841730+1 5.556420+6 2.880470+1 5.054070+6180023501 199 2.892000+1 4.904560+6 2.892000+1 4.987040+6 2.917770+1 4.658640+6180023501 200 2.939150+1 4.443640+6 2.989190+1 3.940430+6 3.000000+1 3.831720+6180023501 201 3.021280+1 3.669970+6 3.075090+1 3.260970+6 3.084840+1 3.203450+6180023501 202 3.132640+1 2.921450+6 3.159160+1 2.764990+6 3.191270+1 2.575460+6180023501 203 3.272180+1 2.224880+6 3.298840+1 2.109360+6 3.311840+1 2.052800+6180023501 204 3.362100+1 1.910640+6 3.425390+1 1.731620+6 3.461670+1 1.652460+6180023501 205 3.474210+1 1.624740+6 3.508870+1 1.548110+6 3.542840+1 1.473010+6180023501 206 3.570000+1 1.436950+6 3.638160+1 1.346440+6 3.645060+1 1.337860+6180023501 207 3.736040+1 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3.132640+1-1.099760+1180027506 1812 3.272180+1-1.140960+1 3.362100+1-1.165720+1 3.474210+1-1.193010+1180027506 1813 3.570000+1-1.214370+1 3.772730+1-1.251640+1 3.935390+1-1.276280+1180027506 1814 4.113140+1-1.298490+1 4.324080+1-1.319890+1 4.604650+1-1.341090+1180027506 1815 5.192940+1-1.364990+1 6.087120+1-1.370780+1 7.000000+1-1.359470+1180027506 1816 8.000000+1-1.343380+1 9.812320+1-1.310980+1 1.103860+2-1.293070+1180027506 1817 1.413540+2-1.285990+1 1.669000+2-1.320940+1 1.894980+2-1.397640+1180027506 1818 1.986150+2-1.443530+1 2.164820+2-1.586930+1 2.279670+2-1.749910+1180027506 1819 2.327680+2-1.858470+1 2.385470+2-2.051770+1 2.414540+2-2.211090+1180027506 1820 2.425330+2-2.295850+1 2.432820+2-2.367130+1 2.438070+2-2.423920+1180027506 1821 2.443140+2-2.484150+1 2.447010+2-2.533100+1 2.451280+2-2.589800+1180027506 1822 2.456290+2-2.657510+1 2.459840+2-2.705970+1 2.464610+2-2.768840+1180027506 1823 2.470900+2-2.844540+1 2.479500+2-2.911060+1 2.487920+2-2.964680+1180027506 1824 2.502320+2-2.956450+1 2.512950+2-2.880590+1 2.523220+2-2.769640+1180027506 1825 2.536290+2-2.595410+1 2.550580+2-2.398250+1 2.568140+2-2.188430+1180027506 1826 2.585710+2-2.010640+1 2.615260+2-1.767440+1 2.645730+2-1.572980+1180027506 1827 2.681740+2-1.389220+1 2.713980+2-1.255050+1 2.762350+2-1.108150+1180027506 1828 2.786530+2-1.050430+1 2.836350+2-9.703390+0 2.883120+2-9.193380+0180027506 1829 2.923480+2-8.988330+0 2.988270+2-9.172600+0 3.036820+2-9.508000+0180027506 1830 3.082340+2-9.903680+0 3.108620+2-1.027030+1 3.126110+2-1.041930+1180027506 1831 3.146570+2-1.032490+1 3.161190+2-1.008330+1 3.194060+2-9.444480+0180027506 1832 3.230370+2-8.957980+0 3.298460+2-8.348440+0 3.428700+2-7.482080+0180027506 1833 3.722680+2-6.054580+0 3.775070+2-5.847330+0 4.045130+2-4.941800+0180027506 1834 4.210690+2-4.451100+0 4.527170+2-3.671290+0 5.000000+2-2.920560+0180027506 1835 5.214780+2-2.706550+0 5.495730+2-2.398230+0 5.638090+2-2.278560+0180027506 1836 6.073660+2-1.994130+0 6.447420+2-1.818620+0 6.955940+2-1.653610+0180027506 1837 7.701240+2-1.487350+0 8.184950+2-1.409490+0 8.837920+2-1.345790+0180027506 1838 9.130770+2-1.324650+0 1.014470+3-1.327380+0 1.119300+3-1.342980+0180027506 1839 1.242220+3-1.368960+0 1.340220+3-1.415070+0 1.458400+3-1.494840+0180027506 1840 1.541670+3-1.550390+0 1.712260+3-1.662500+0 1.862760+3-1.780220+0180027506 1841 2.088460+3-1.982230+0 2.328970+3-2.259240+0 2.514520+3-2.538720+0180027506 1842 2.670720+3-2.856020+0 2.760630+3-3.096860+0 2.898300+3-3.592630+0180027506 1843 2.974400+3-4.016500+0 3.057390+3-4.763380+0 3.087650+3-5.214350+0180027506 1844 3.103090+3-5.535200+0 3.111910+3-5.765150+0 3.119690+3-6.004370+0180027506 1845 3.124920+3-6.186850+0 3.128160+3-6.307820+0 3.131210+3-6.427050+0180027506 1846 3.134060+3-6.543710+0 3.138020+3-6.709080+0 3.141650+3-6.865600+0180027506 1847 3.146000+3-7.052880+0 3.151560+3-7.281850+0 3.157670+3-7.507390+0180027506 1848 3.164520+3-7.705560+0 3.177800+3-7.835620+0 3.191080+3-7.628860+0180027506 1849 3.201100+3-7.257990+0 3.215550+3-6.621120+0 3.233930+3-5.855700+0180027506 1850 3.251450+3-5.267520+0 3.284300+3-4.537910+0 3.341790+3-3.740060+0180027506 1851 3.384900+3-3.310310+0 3.449570+3-2.811310+0 3.514250+3-2.438030+0180027506 1852 3.672650+3-1.751050+0 3.751850+3-1.479840+0 3.846920+3-1.227180+0180027506 1853 4.019500+3-8.342810-1 4.113730+3-6.533760-1 4.207960+3-5.145750-1180027506 1854 4.403100+3-2.683810-1 4.504300+3-1.563320-1 4.549450+3-1.145760-1180027506 1855 4.653290+3-5.228420-2 4.730750+3 5.593700-3 4.845980+3 9.181140-2180027506 1856 4.930270+3 1.471890-1 4.970870+3 1.694780-1 4.998020+3 1.830940-1180027506 1857 5.020360+3 1.916310-1 5.033580+3 1.951570-1 5.053700+3 1.976530-1180027506 1858 5.091140+3 2.105890-1 5.227020+3 2.671790-1 5.294960+3 2.925340-1180027506 1859 5.350370+3 3.073440-1 5.390700+3 3.123240-1 5.665880+3 3.953570-1180027506 1860 5.768640+3 4.200970-1 5.881220+3 4.312920-1 6.267020+3 5.106140-1180027506 1861 6.412890+3 5.228210-1 6.985530+3 5.514730-1 7.524350+3 5.543660-1180027506 1862 7.988540+3 5.513130-1 8.790121+3 5.343400-1 9.391701+3 5.163210-1180027506 1863 1.077320+4 4.744150-1 1.182690+4 4.384380-1 1.255220+4 4.123200-1180027506 1864 1.376470+4 3.743230-1 1.500000+4 3.400950-1 1.593180+4 3.160010-1180027506 1865 1.684460+4 2.957690-1 1.792550+4 2.741850-1 1.911730+4 2.523260-1180027506 1866 2.088550+4 2.252820-1 2.174110+4 2.121300-1 2.380940+4 1.875130-1180027506 1867 2.581170+4 1.673610-1 2.728700+4 1.540080-1 2.918380+4 1.396290-1180027506 1868 3.132820+4 1.258700-1 3.396260+4 1.115950-1 3.687060+4 9.805220-2180027506 1869 3.892840+4 8.971050-2 4.249590+4 7.794970-2 4.470550+4 7.171490-2180027506 1870 4.785500+4 6.410400-2 5.156270+4 5.667690-2 5.468400+4 5.130150-2180027506 1871 5.839260+4 4.596610-2 6.184060+4 4.173200-2 6.595190+4 3.738570-2180027506 1872 7.077370+4 3.313410-2 7.556110+4 2.956250-2 8.052229+4 2.643080-2180027506 1873 8.731640+4 2.295890-2 9.391700+4 2.018060-2 1.000000+5 1.803950-2180027506 1874 1.076890+5 1.579790-2 1.138100+5 1.427410-2 1.220810+5 1.256570-2180027506 1875 1.307410+5 1.107560-2 1.426650+5 9.430830-3 1.504010+5 8.459170-3180027506 1876 1.618200+5 7.285660-3 1.702820+5 6.552560-3 1.834420+5 5.619040-3180027506 1877 1.952340+5 4.938000-3 2.092610+5 4.272520-3 2.254100+5 3.655290-3180027506 1878 2.410080+5 3.172910-3 2.576840+5 2.750970-3 2.790230+5 2.320940-3180027506 1879 2.966350+5 2.032180-3 3.122130+5 1.811630-3 3.345930+5 1.552070-3180027506 1880 3.563450+5 1.345810-3 3.789950+5 1.166730-3 4.131780+5 9.505040-4180027506 1881 4.444450+5 7.948720-4 4.625150+5 7.189760-4 5.053860+5 5.705350-4180027506 1882 5.507460+5 4.493680-4 5.882690+5 3.697380-4 6.366850+5 2.870240-4180027506 1883 6.829300+5 2.238680-4 7.378210+5 1.638500-4 8.167900+5 9.778580-5180027506 1884 8.763990+5 5.916500-5 9.197270+5 3.564280-5 1.000000+6 0.000000+0180027506 1885 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0180027506 1886 180027 0 1887 1800 0 0 1888 0 0 0 1889 1.900000+4 3.876210+1 -1 0 2 21900 1451 1 0.000000+0 0.000000+0 0 0 0 61900 1451 2 0.000000+0 0.000000+0 0 0 3 21900 1451 3 0.000000+0 0.000000+0 0 0 132 201900 1451 4 19-K LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 1900 1451 6 ----JEF-2 MATERIAL 1900 REVISION 0 1900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1900 1451 8 ------ENDF-6 FORMAT 1900 1451 9 ******************************************************************1900 1451 10 * JEF-2 *1900 1451 11 * DATA TAKEN FROM EPDL *1900 1451 12 ******************************************************************1900 1451 13 =================================================================1900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1900 1451 15 ENDF/B-VI FORMAT 1900 1451 16 =================================================================1900 1451 17 CONTENTS 1900 1451 18 =================================================================1900 1451 19 MF/MT DESCRIPTION 1900 1451 20 =================================================================1900 1451 21 23/501 TOTAL CROSS SECTION 1900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 1900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 35 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 36 =================================================================1900 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 1900 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 1900 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1900 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 1900 1451 41 =================================================================1900 1451 42 WARNING 1900 1451 43 =================================================================1900 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1900 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1900 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1900 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1900 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1900 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1900 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1900 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1900 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1900 1451 53 =================================================================1900 1451 54 DEFINITION OF NEW TYPES OF DATA 1900 1451 55 =================================================================1900 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1900 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1900 1451 58 1900 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1900 1451 60 C2 FIELDS ARE, 1900 1451 61 1900 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1900 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1900 1451 64 1900 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1900 1451 66 1900 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1900 1451 68 1900 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1900 1451 70 T = THE THOMSON CROSS SECTION 1900 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 1900 1451 72 FF(M) = THE ATOMIC FORM FACTOR 1900 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1900 1451 74 F1(E) = THE REAL SCATTERING FACTOR 1900 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 1900 1451 76 1900 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 1900 1451 78 1900 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1900 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1900 1451 81 =================================================================1900 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1900 1451 83 =================================================================1900 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1900 1451 85 HERE - 10 EV TO 100 MEV 1900 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1900 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 1900 1451 88 HERE - PHOTON INTERACTION 1900 1451 89 - AVERAGE FLUORESCENCE YIELD 1900 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1900 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1900 1451 92 HERE - NO SECONDARY ENERGY DATA 1900 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1900 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 1900 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 1900 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 1900 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1900 1451 98 - SCATTERING FACTORS LINEARLY INTERPOLABLE1900 1451 99 (SINCE THEY CAN BE NEGATIVE). 1900 1451 100 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1900 1451 101 ORDER TO ALLOW CROSS SECTIONS DEFINED 1900 1451 102 BY SUMMATION (E.G., TOTAL) TO BE 1900 1451 103 CONSISTENTLY DEFINED AT ALL ENERGIES. 1900 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 1900 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1900 1451 106 - SCATTERING FACTORS LINEARLY INTERPOLABLE1900 1451 107 =================================================================1900 1451 108 REFERENCES 1900 1451 109 =================================================================1900 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1900 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1900 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1900 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1900 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1900 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1900 1451 116 1900 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1900 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1900 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1900 1451 120 OF THE DATA, ETC. 1900 1451 121 =================================================================1900 1451 122 HISTORY 1900 1451 123 =================================================================1900 1451 124 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 1900 1451 125 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 1900 1451 126 CROSS SECTIONS. 1900 1451 127 =================================================================1900 1451 128 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1900 1451 129 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 1900 1451 130 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1900 1451 131 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1900 1451 132 *RECONSTRUCTED MT NUMBERS 1900 1451 133 516 =+(515,515)+(517,517) 1900 1451 134 522 =+(534,572) 1900 1451 135 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1900 1451 136 1 451 156 11900 1451 137 23 501 385 11900 1451 138 23 502 122 11900 1451 139 23 504 29 11900 1451 140 23 515 30 11900 1451 141 23 516 58 11900 1451 142 23 517 41 11900 1451 143 23 522 229 21900 1451 144 23 534 48 21900 1451 145 23 535 58 21900 1451 146 23 536 70 21900 1451 147 23 537 71 21900 1451 148 23 538 63 21900 1451 149 23 539 81 21900 1451 150 23 540 81 21900 1451 151 23 543 66 21900 1451 152 27 502 51 11900 1451 153 27 504 42 11900 1451 154 27 505 98 11900 1451 155 27 506 98 11900 1451 156 1900 1 0 157 1900 0 0 158 1.900000+4 3.876210+1 0 0 0 0190023501 159 0.000000+0 0.000000+0 0 0 1 1145190023501 160 1145 2 0 0 0 0190023501 161 1.000000+1 8.421640+4 1.077590+1 8.302250+4 1.139720+1 8.206660+4190023501 162 1.154780+1 8.183479+4 1.188650+1 8.131370+4 1.189280+1 8.130400+4190023501 163 1.266010+1 7.955420+4 1.286400+1 7.908920+4 1.348410+1 7.767510+4190023501 164 1.398450+1 7.620050+4 1.477020+1 7.388530+4 1.500000+1 7.320820+4190023501 165 1.512470+1 7.275590+4 1.560000+1 7.103220+4 1.603170+1 6.946670+4190023501 166 1.670190+1 6.703640+4 1.732050+1 6.479340+4 1.740000+1 6.457250+4190023501 167 1.778280+1 6.350910+4 1.806240+1 6.273230+4 1.875000+1 6.082250+4190023501 168 1.924960+1 5.943550+4 1.976250+1 5.801210+4 1.980960+1 5.788150+4190023501 169 2.000000+1 5.735350+4 2.003100+1 5.727770+4 2.044060+1 5.627630+4190023501 170 2.085850+1 5.525560+4 2.118600+1 5.445780+4 2.151860+1 5.364910+4190023501 171 2.171040+1 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3.819310+3-3.179550+0 3.913770+3-2.531360+0 4.008240+3-2.070240+0190027506 1866 4.088730+3-1.767130+0 4.169230+3-1.520450+0 4.380170+3-9.950100-1190027506 1867 4.485640+3-7.811650-1 4.538370+3-6.915170-1 4.795550+3-3.616630-1190027506 1868 4.897780+3-2.427150-1 4.948890+3-1.915260-1 5.149050+3-3.606570-2190027506 1869 5.220310+3 1.972340-2 5.330460+3 9.853380-2 5.385540+3 1.306710-1190027506 1870 5.413070+3 1.436360-1 5.465520+3 1.576510-1 5.512220+3 1.773540-1190027506 1871 5.696090+3 2.624940-1 5.768710+3 2.905940-1 5.803900+3 3.012960-1190027506 1872 5.839100+3 3.070670-1 5.854040+3 3.077660-1 5.882991+3 3.138790-1190027506 1873 6.107741+3 3.822010-1 6.219690+3 4.121920-1 6.263010+3 4.211560-1190027506 1874 6.386790+3 4.309240-1 6.751610+3 4.981240-1 6.985530+3 5.159300-1190027506 1875 7.507411+3 5.488750-1 8.000000+3 5.705020-1 8.572121+3 5.763600-1190027506 1876 9.391701+3 5.675030-1 1.005540+4 5.470590-1 1.098130+4 5.174390-1190027506 1877 1.204510+4 4.821210-1 1.278090+4 4.566230-1 1.376470+4 4.268860-1190027506 1878 1.457640+4 4.036820-1 1.561820+4 3.757530-1 1.694590+4 3.428850-1190027506 1879 1.797910+4 3.188190-1 1.933480+4 2.904480-1 2.048560+4 2.695530-1190027506 1880 2.178370+4 2.484450-1 2.387470+4 2.205750-1 2.605440+4 1.966790-1190027506 1881 2.919810+4 1.670710-1 3.132820+4 1.505390-1 3.323930+4 1.376500-1190027506 1882 3.542350+4 1.249880-1 3.785450+4 1.125140-1 4.275510+4 9.264680-2190027506 1883 4.619450+4 8.195130-2 5.007040+4 7.205510-2 5.328480+4 6.505020-2190027506 1884 5.715360+4 5.792880-2 6.071370+4 5.233080-2 6.457930+4 4.709920-2190027506 1885 7.047830+4 4.066700-2 7.374130+4 3.755370-2 7.910829+4 3.325780-2190027506 1886 8.637790+4 2.858870-2 9.217660+4 2.547780-2 9.732110+4 2.311630-2190027506 1887 1.065660+5 1.971360-2 1.182690+5 1.634510-2 1.255090+5 1.466190-2190027506 1888 1.334400+5 1.310540-2 1.430980+5 1.152970-2 1.538980+5 1.006550-2190027506 1889 1.629200+5 8.938310-3 1.752990+5 7.688160-3 1.896570+5 6.544450-3190027506 1890 2.020060+5 5.738520-3 2.153350+5 5.012400-3 2.312620+5 4.320310-3190027506 1891 2.447070+5 3.825750-3 2.635790+5 3.264850-3 2.836250+5 2.789870-3190027506 1892 3.016110+5 2.438330-3 3.280420+5 2.020960-3 3.689100+5 1.546990-3190027506 1893 4.032620+5 1.255070-3 4.326980+5 1.058020-3 4.625150+5 8.968290-4190027506 1894 5.053630+5 7.107420-4 5.507460+5 5.602940-4 5.882690+5 4.616080-4190027506 1895 6.433520+5 3.450550-4 7.148340+5 2.332810-4 7.741930+5 1.630040-4190027506 1896 8.458970+5 9.700720-5 9.197270+5 4.451930-5 9.777430+5 1.224120-5190027506 1897 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0190027506 1898 190027 0 1899 1900 0 0 1900 0 0 0 1901 2.000000+4 3.973570+1 -1 0 2 22000 1451 1 0.000000+0 0.000000+0 0 0 0 62000 1451 2 0.000000+0 0.000000+0 0 0 3 22000 1451 3 0.000000+0 0.000000+0 0 0 132 202000 1451 4 20-CA LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2000 1451 6 ----JEF-2 MATERIAL 2000 REVISION 0 2000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2000 1451 8 ------ENDF-6 FORMAT 2000 1451 9 ******************************************************************2000 1451 10 * JEF-2 *2000 1451 11 * DATA TAKEN FROM EPDL *2000 1451 12 ******************************************************************2000 1451 13 =================================================================2000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2000 1451 15 ENDF/B-VI FORMAT 2000 1451 16 =================================================================2000 1451 17 CONTENTS 2000 1451 18 =================================================================2000 1451 19 MF/MT DESCRIPTION 2000 1451 20 =================================================================2000 1451 21 23/501 TOTAL CROSS SECTION 2000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 35 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 36 =================================================================2000 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 2000 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 2000 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2000 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 2000 1451 41 =================================================================2000 1451 42 WARNING 2000 1451 43 =================================================================2000 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2000 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2000 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2000 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2000 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2000 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2000 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2000 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2000 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2000 1451 53 =================================================================2000 1451 54 DEFINITION OF NEW TYPES OF DATA 2000 1451 55 =================================================================2000 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2000 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2000 1451 58 2000 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2000 1451 60 C2 FIELDS ARE, 2000 1451 61 2000 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2000 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2000 1451 64 2000 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2000 1451 66 2000 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2000 1451 68 2000 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2000 1451 70 T = THE THOMSON CROSS SECTION 2000 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 2000 1451 72 FF(M) = THE ATOMIC FORM FACTOR 2000 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2000 1451 74 F1(E) = THE REAL SCATTERING FACTOR 2000 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 2000 1451 76 2000 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 2000 1451 78 2000 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2000 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2000 1451 81 =================================================================2000 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2000 1451 83 =================================================================2000 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2000 1451 85 HERE - 10 EV TO 100 MEV 2000 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2000 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 2000 1451 88 HERE - PHOTON INTERACTION 2000 1451 89 - AVERAGE FLUORESCENCE YIELD 2000 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2000 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2000 1451 92 HERE - NO SECONDARY ENERGY DATA 2000 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2000 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 2000 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 2000 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 2000 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2000 1451 98 - SCATTERING FACTORS LINEARLY INTERPOLABLE2000 1451 99 (SINCE THEY CAN BE NEGATIVE). 2000 1451 100 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2000 1451 101 ORDER TO ALLOW CROSS SECTIONS DEFINED 2000 1451 102 BY SUMMATION (E.G., TOTAL) TO BE 2000 1451 103 CONSISTENTLY DEFINED AT ALL ENERGIES. 2000 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 2000 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2000 1451 106 - SCATTERING FACTORS LINEARLY INTERPOLABLE2000 1451 107 =================================================================2000 1451 108 REFERENCES 2000 1451 109 =================================================================2000 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2000 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2000 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2000 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2000 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2000 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2000 1451 116 2000 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2000 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2000 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2000 1451 120 OF THE DATA, ETC. 2000 1451 121 =================================================================2000 1451 122 HISTORY 2000 1451 123 =================================================================2000 1451 124 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2000 1451 125 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2000 1451 126 CROSS SECTIONS. 2000 1451 127 =================================================================2000 1451 128 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2000 1451 129 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2000 1451 130 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2000 1451 131 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2000 1451 132 *RECONSTRUCTED MT NUMBERS 2000 1451 133 516 =+(515,515)+(517,517) 2000 1451 134 522 =+(534,572) 2000 1451 135 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2000 1451 136 1 451 156 12000 1451 137 23 501 396 12000 1451 138 23 502 105 12000 1451 139 23 504 30 12000 1451 140 23 515 30 12000 1451 141 23 516 58 12000 1451 142 23 517 41 12000 1451 143 23 522 252 22000 1451 144 23 534 48 22000 1451 145 23 535 55 22000 1451 146 23 536 68 22000 1451 147 23 537 67 22000 1451 148 23 538 62 22000 1451 149 23 539 74 22000 1451 150 23 540 75 22000 1451 151 23 543 66 22000 1451 152 27 502 51 12000 1451 153 27 504 42 12000 1451 154 27 505 84 12000 1451 155 27 506 84 12000 1451 156 2000 1 0 157 2000 0 0 158 2.000000+4 3.973570+1 0 0 0 0200023501 159 0.000000+0 0.000000+0 0 0 1 1179200023501 160 1179 2 0 0 0 0200023501 161 1.000000+1 8.318500+4 1.054530+1 9.381310+4 1.097370+1 1.021630+5200023501 162 1.121450+1 1.068560+5 1.154780+1 1.142970+5 1.164920+1 1.165610+5200023501 163 1.236620+1 1.325670+5 1.257650+1 1.372620+5 1.321580+1 1.504870+5200023501 164 1.361960+1 1.588400+5 1.383570+1 1.633100+5 1.499770+1 1.818900+5200023501 165 1.500000+1 1.819260+5 1.615710+1 1.907000+5 1.688590+1 1.915320+5200023501 166 1.791470+1 1.927070+5 1.887140+1 1.907430+5 2.000000+1 1.884280+5200023501 167 2.094430+1 1.857110+5 2.132480+1 1.846160+5 2.398950+1 1.769500+5200023501 168 2.449490+1 1.754960+5 2.546440+1 1.721930+5 2.698720+1 1.670040+5200023501 169 2.836750+1 1.623010+5 2.981840+1 1.573580+5 3.000000+1 1.567390+5200023501 170 3.021280+1 1.559570+5 3.067710+1 1.542520+5 3.156050+1 1.510070+5200023501 171 3.183610+1 1.499950+5 3.225390+1 1.484610+5 3.267730+1 1.469070+5200023501 172 3.288820+1 1.461330+5 3.300480+1 1.457060+5 3.307930+1 1.454340+5200023501 173 3.314140+1 1.452070+5 3.319030+1 1.450280+5 3.324030+1 1.448450+5200023501 174 3.328730+1 1.446740+5 3.333140+1 1.445130+5 3.339260+1 1.442900+5200023501 175 3.346220+1 1.440360+5 3.358800+1 1.435780+5 3.360000+1 1.435340+5200023501 176 3.360000+1 3.693880+6 3.382700+1 3.585640+6 3.395750+1 3.523410+6200023501 177 3.401000+1 3.498380+6 3.401000+1 5.268520+6 3.412010+1 5.190320+6200023501 178 3.423260+1 5.110430+6 3.441550+1 4.980530+6 3.462000+1 4.835300+6200023501 179 3.464100+1 4.820380+6 3.469000+1 4.785620+6 3.491640+1 4.635160+6200023501 180 3.508870+1 4.520650+6 3.554070+1 4.220250+6 3.594750+1 3.949890+6200023501 181 3.621590+1 3.805720+6 3.692040+1 3.427300+6 3.706370+1 3.360380+6200023501 182 3.725050+1 3.273160+6 3.793130+1 2.974000+6 3.842940+1 2.755120+6200023501 183 3.860080+1 2.691190+6 3.929420+1 2.455050+6 3.999640+1 2.215910+6200023501 184 4.000000+1 2.214680+6 4.113140+1 1.938690+6 4.156390+1 1.843720+6200023501 185 4.170910+1 1.814390+6 4.229490+1 1.696090+6 4.318900+1 1.558010+6200023501 186 4.338820+1 1.532230+6 4.479940+1 1.349580+6 4.485060+1 1.344710+6200023501 187 4.492710+1 1.337440+6 4.550780+1 1.282240+6 4.657040+1 1.199340+6200023501 188 4.659150+1 1.197710+6 4.663770+1 1.195180+6 4.770110+1 1.136930+6200023501 189 4.883700+1 1.088410+6 4.905440+1 1.082450+6 4.957900+1 1.068070+6200023501 190 5.000000+1 1.056530+6 5.024580+1 1.056040+6 5.223590+1 1.052040+6200023501 191 5.255860+1 1.051400+6 5.282650+1 1.050860+6 5.306000+1 1.050390+6200023501 192 5.316000+1 1.050850+6 5.316000+1 1.479050+6 5.319980+1 1.479300+6200023501 193 5.357580+1 1.481680+6 5.383700+1 1.483330+6 5.422000+1 1.485750+6200023501 194 5.908440+1 1.566520+6 5.975750+1 1.577700+6 6.000000+1 1.581840+6200023501 195 6.467630+1 1.661480+6 6.739150+1 1.707720+6 6.914190+1 1.737530+6200023501 196 7.000000+1 1.752500+6 8.000000+1 1.836150+6 8.209230+1 1.834000+6200023501 197 8.653970+1 1.829410+6 9.000000+1 1.826540+6 9.055650+1 1.822630+6200023501 198 9.929660+1 1.761170+6 1.000000+2 1.756340+6 1.100840+2 1.654910+6200023501 199 1.189370+2 1.566740+6 1.194100+2 1.562070+6 1.218810+2 1.533160+6200023501 200 1.224740+2 1.526230+6 1.243960+2 1.504360+6 1.335680+2 1.399980+6200023501 201 1.338340+2 1.396980+6 1.355400+2 1.379730+6 1.390190+2 1.346330+6200023501 202 1.413810+2 1.323750+6 1.500000+2 1.241360+6 1.507420+2 1.234370+6200023501 203 1.580270+2 1.165730+6 1.732050+2 1.022730+6 1.751250+2 1.009830+6200023501 204 1.867410+2 9.317490+5 2.000000+2 8.426250+5 2.034860+2 8.219090+5200023501 205 2.157090+2 7.492730+5 2.206730+2 7.199100+5 2.213360+2 7.159880+5200023501 206 2.387840+2 6.359230+5 2.388200+2 6.357580+5 2.449490+2 6.088000+5200023501 207 2.462280+2 6.038840+5 2.663010+2 5.271870+5 2.665510+2 5.262320+5200023501 208 2.676670+2 5.219670+5 2.710810+2 5.095250+5 2.719180+2 5.071090+5200023501 209 2.851130+2 4.691900+5 2.929300+2 4.467250+5 2.978580+2 4.326170+5200023501 210 3.000000+2 4.264850+5 3.111730+2 3.989260+5 3.192020+2 3.791210+5200023501 211 3.219680+2 3.722990+5 3.223710+2 3.713050+5 3.274390+2 3.611840+5200023501 212 3.275320+2 3.609990+5 3.306670+2 3.547690+5 3.338380+2 3.487580+5200023501 213 3.426770+2 3.320020+5 3.466750+2 3.244260+5 3.485530+2 3.208690+5200023501 214 3.497890+2 3.185310+5 3.507750+2 3.166680+5 3.516180+2 3.150770+5200023501 215 3.523810+2 3.136390+5 3.530880+2 3.123080+5 3.537980+2 3.109730+5200023501 216 3.545740+2 3.095140+5 3.552000+2 3.083390+5 3.552000+2 1.876120+6200023501 217 3.553510+2 1.878500+6 3.557070+2 1.884100+6 3.561770+2 1.891540+6200023501 218 3.570040+2 1.904620+6 3.580900+2 1.921810+6 3.590400+2 1.936830+6200023501 219 3.590400+2 2.708620+6 3.590940+2 2.709880+6 3.604270+2 2.741610+6200023501 220 3.623100+2 2.786440+6 3.625190+2 2.786950+6 3.651880+2 2.793530+6200023501 221 3.662200+2 2.796080+6 3.684540+2 2.801600+6 3.685630+2 2.800730+6200023501 222 3.709670+2 2.781570+6 3.718050+2 2.774890+6 3.720720+2 2.772770+6200023501 223 3.780820+2 2.695350+6 3.786670+2 2.687080+6 3.895320+2 2.533610+6200023501 224 3.968670+2 2.429990+6 3.986480+2 2.404960+6 4.000000+2 2.385960+6200023501 225 4.006020+2 2.377600+6 4.092940+2 2.270840+6 4.143280+2 2.209000+6200023501 226 4.159450+2 2.189150+6 4.208190+2 2.133860+6 4.229490+2 2.109700+6200023501 227 4.234260+2 2.104370+6 4.265630+2 2.073700+6 4.274240+2 2.065280+6200023501 228 4.305530+2 2.034690+6 4.340930+2 2.000090+6 4.341100+2 1.999920+6200023501 229 4.341100+2 2.249270+6 4.373440+2 2.216020+6 4.412190+2 2.176180+6200023501 230 4.427900+2 2.160020+6 4.443040+2 2.144510+6 4.468720+2 2.120110+6200023501 231 4.545130+2 2.047490+6 4.577160+2 2.017060+6 4.598630+2 1.996670+6200023501 232 4.601230+2 1.994240+6 4.688790+2 1.924020+6 4.871890+2 1.777190+6200023501 233 4.905080+2 1.750580+6 4.916480+2 1.742200+6 4.965040+2 1.706500+6200023501 234 4.974820+2 1.699360+6 5.000000+2 1.680950+6 5.233180+2 1.525280+6200023501 235 5.233450+2 1.525100+6 5.334990+2 1.457730+6 5.403120+2 1.418800+6200023501 236 5.406600+2 1.416810+6 5.410240+2 1.414730+6 5.415170+2 1.411920+6200023501 237 5.438790+2 1.399100+6 5.664950+2 1.278640+6 5.770150+2 1.222600+6200023501 238 5.774090+2 1.220510+6 5.790220+2 1.212390+6 5.792970+2 1.211000+6200023501 239 5.865120+2 1.175260+6 5.880020+2 1.167880+6 6.000000+2 1.118270+6200023501 240 6.052460+2 1.096590+6 6.058810+2 1.094050+6 6.355390+2 9.825490+5200023501 241 6.367950+2 9.778510+5 6.380040+2 9.734200+5 6.395620+2 9.677100+5200023501 242 6.480740+2 9.365240+5 6.512420+2 9.262410+5 6.981460+2 7.845380+5200023501 243 7.000000+2 7.789370+5 7.035240+2 7.692280+5 7.151740+2 7.415760+5200023501 244 7.353870+2 6.936250+5 7.457790+2 6.689720+5 7.482040+2 6.632190+5200023501 245 7.652860+2 6.265660+5 7.776940+2 6.025230+5 7.835660+2 5.911500+5200023501 246 7.937250+2 5.734720+5 7.952920+2 5.708630+5 8.182150+2 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3.964980+3-6.668360+0200027506 1829 3.969580+3-6.829560+0 3.975900+3-7.049920+0 3.982100+3-7.258010+0200027506 1830 3.989810+3-7.490040+0 3.998470+3-7.694430+0 4.013910+3-7.826760+0200027506 1831 4.029340+3-7.656610+0 4.043640+3-7.261010+0 4.057350+3-6.758550+0200027506 1832 4.074690+3-6.120420+0 4.091210+3-5.565400+0 4.124490+3-4.809810+0200027506 1833 4.182510+3-4.003530+0 4.234610+3-3.497510+0 4.325790+3-2.842000+0200027506 1834 4.394170+3-2.463790+0 4.496750+3-2.013240+0 4.605690+3-1.666590+0200027506 1835 4.809220+3-1.162350+0 4.920500+3-9.387120-1 5.019120+3-7.847320-1200027506 1836 5.248170+3-4.779740-1 5.419970+3-2.807490-1 5.736580+3-2.155380-2200027506 1837 5.866260+3 7.282500-2 5.931100+3 1.115410-1 5.963520+3 1.271910-1200027506 1838 6.023670+3 1.436290-1 6.283660+3 2.593320-1 6.373840+3 2.929630-1200027506 1839 6.431420+3 3.068840-1 6.471370+3 3.109580-1 6.781840+3 3.996730-1200027506 1840 6.869130+3 4.219830-1 6.960460+3 4.368190-1 7.038201+3 4.372070-1200027506 1841 7.315730+3 4.850940-1 7.528971+3 5.228650-1 7.681150+3 5.422020-1200027506 1842 7.800750+3 5.442130-1 8.558330+3 5.813010-1 8.879020+3 5.942440-1200027506 1843 1.017640+4 5.900260-1 1.106080+4 5.718010-1 1.233220+4 5.290600-1200027506 1844 1.341420+4 4.940310-1 1.457640+4 4.605250-1 1.554920+4 4.329970-1200027506 1845 1.710390+4 3.927290-1 1.771420+4 3.757120-1 1.933470+4 3.398590-1200027506 1846 2.112700+4 3.052490-1 2.236290+4 2.830520-1 2.366070+4 2.629410-1200027506 1847 2.604640+4 2.331170-1 2.918780+4 1.989330-1 3.132820+4 1.795220-1200027506 1848 3.325390+4 1.643200-1 3.542350+4 1.495900-1 3.773400+4 1.357820-1200027506 1849 4.087590+4 1.202930-1 4.365500+4 1.085100-1 4.683290+4 9.700620-2200027506 1850 5.000000+4 8.740040-2 5.328480+4 7.890580-2 5.715360+4 7.034310-2200027506 1851 6.130440+4 6.266850-2 6.521460+4 5.645800-2 7.083130+4 4.912960-2200027506 1852 7.374130+4 4.578770-2 8.000000+4 3.989120-2 8.637790+4 3.493880-2200027506 1853 9.101570+4 3.182820-2 9.790150+4 2.802280-2 1.061640+5 2.431360-2200027506 1854 1.183810+5 2.001050-2 1.267670+5 1.768550-2 1.334400+5 1.609560-2200027506 1855 1.430980+5 1.417390-2 1.527210+5 1.257040-2 1.629200+5 1.114160-2200027506 1856 1.773980+5 9.497950-3 1.899800+5 8.243690-3 2.020050+5 7.255840-3200027506 1857 2.156350+5 6.320280-3 2.324650+5 5.405890-3 2.458520+5 4.793500-3200027506 1858 2.647010+5 4.092190-3 2.809850+5 3.593860-3 3.000000+5 3.114880-3200027506 1859 3.280420+5 2.554300-3 3.689100+5 1.955940-3 4.032620+5 1.586240-3200027506 1860 4.326980+5 1.337650-3 4.598980+5 1.148230-3 5.044970+5 9.021690-4200027506 1861 5.504060+5 7.094730-4 5.841390+5 5.946440-4 6.433520+5 4.361690-4200027506 1862 7.167970+5 2.914440-4 7.798130+5 1.985040-4 8.465560+5 1.218200-4200027506 1863 9.101570+5 6.383660-5 9.809980+5 1.346130-5 1.000000+6 0.000000+0200027506 1864 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0200027506 1865 200027 0 1866 2000 0 0 1867 0 0 0 1868 2.100000+4 4.456970+1 -1 0 2 22100 1451 1 0.000000+0 0.000000+0 0 0 0 62100 1451 2 0.000000+0 0.000000+0 0 0 3 22100 1451 3 0.000000+0 0.000000+0 0 0 134 222100 1451 4 21-SC LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2100 1451 6 ----JEF-2 MATERIAL 2100 REVISION 0 2100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2100 1451 8 ------ENDF-6 FORMAT 2100 1451 9 ******************************************************************2100 1451 10 * JEF-2 *2100 1451 11 * DATA TAKEN FROM EPDL *2100 1451 12 ******************************************************************2100 1451 13 =================================================================2100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2100 1451 15 ENDF/B-VI FORMAT 2100 1451 16 =================================================================2100 1451 17 CONTENTS 2100 1451 18 =================================================================2100 1451 19 MF/MT DESCRIPTION 2100 1451 20 =================================================================2100 1451 21 23/501 TOTAL CROSS SECTION 2100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 38 =================================================================2100 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2100 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2100 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2100 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2100 1451 43 =================================================================2100 1451 44 WARNING 2100 1451 45 =================================================================2100 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2100 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2100 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2100 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2100 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2100 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2100 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2100 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2100 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2100 1451 55 =================================================================2100 1451 56 DEFINITION OF NEW TYPES OF DATA 2100 1451 57 =================================================================2100 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2100 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2100 1451 60 2100 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2100 1451 62 C2 FIELDS ARE, 2100 1451 63 2100 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2100 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2100 1451 66 2100 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2100 1451 68 2100 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2100 1451 70 2100 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2100 1451 72 T = THE THOMSON CROSS SECTION 2100 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2100 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2100 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2100 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2100 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2100 1451 78 2100 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2100 1451 80 2100 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2100 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2100 1451 83 =================================================================2100 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2100 1451 85 =================================================================2100 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2100 1451 87 HERE - 10 EV TO 100 MEV 2100 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2100 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2100 1451 90 HERE - PHOTON INTERACTION 2100 1451 91 - AVERAGE FLUORESCENCE YIELD 2100 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2100 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2100 1451 94 HERE - NO SECONDARY ENERGY DATA 2100 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2100 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2100 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2100 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2100 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2100 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2100 1451 101 (SINCE THEY CAN BE NEGATIVE). 2100 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2100 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2100 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2100 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2100 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2100 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2100 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2100 1451 109 =================================================================2100 1451 110 REFERENCES 2100 1451 111 =================================================================2100 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2100 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2100 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2100 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2100 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2100 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2100 1451 118 2100 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2100 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2100 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2100 1451 122 OF THE DATA, ETC. 2100 1451 123 =================================================================2100 1451 124 HISTORY 2100 1451 125 =================================================================2100 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2100 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2100 1451 128 CROSS SECTIONS. 2100 1451 129 =================================================================2100 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2100 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2100 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2100 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2100 1451 134 *RECONSTRUCTED MT NUMBERS 2100 1451 135 516 =+(515,515)+(517,517) 2100 1451 136 522 =+(534,572) 2100 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2100 1451 138 1 451 160 12100 1451 139 23 501 431 12100 1451 140 23 502 102 12100 1451 141 23 504 30 12100 1451 142 23 515 30 12100 1451 143 23 516 58 12100 1451 144 23 517 41 12100 1451 145 23 522 293 22100 1451 146 23 534 47 22100 1451 147 23 535 55 22100 1451 148 23 536 66 22100 1451 149 23 537 67 22100 1451 150 23 538 61 22100 1451 151 23 539 74 22100 1451 152 23 540 74 22100 1451 153 23 541 91 22100 1451 154 23 542 92 22100 1451 155 23 543 67 22100 1451 156 27 502 50 12100 1451 157 27 504 40 12100 1451 158 27 505 81 12100 1451 159 27 506 81 12100 1451 160 2100 1 0 161 2100 0 0 162 2.100000+4 4.456970+1 0 0 0 0210023501 163 0.000000+0 0.000000+0 0 0 1 1284210023501 164 1284 2 0 0 0 0210023501 165 1.000000+1 2.213650+6 1.035810+1 2.278460+6 1.072900+1 2.345600+6210023501 166 1.141820+1 2.473780+6 1.151120+1 2.491070+6 1.154780+1 2.497940+6210023501 167 1.206400+1 2.594810+6 1.215160+1 2.611170+6 1.273120+1 2.719450+6210023501 168 1.290730+1 2.752910+6 1.321580+1 2.811530+6 1.343540+1 2.853260+6210023501 169 1.355400+1 2.875550+6 1.412990+1 2.960370+6 1.459250+1 3.028510+6210023501 170 1.499770+1 3.085940+6 1.500000+1 3.086270+6 1.546830+1 3.136100+6210023501 171 1.633050+1 3.218550+6 1.688310+1 3.256700+6 1.688590+1 3.256870+6210023501 172 1.709540+1 3.269580+6 1.789610+1 3.318160+6 1.806970+1 3.324170+6210023501 173 1.874060+1 3.333610+6 1.887140+1 3.335050+6 2.000000+1 3.347460+6210023501 174 2.094430+1 3.326340+6 2.311090+1 3.277870+6 2.311780+1 3.277610+6210023501 175 2.338130+1 3.267460+6 2.475080+1 3.188300+6 2.546440+1 3.147050+6210023501 176 2.668890+1 3.076280+6 2.669260+1 3.076010+6 3.000000+1 2.815730+6210023501 177 3.021280+1 2.797580+6 3.420090+1 2.457570+6 3.451400+1 2.436930+6210023501 178 3.464100+1 2.428560+6 3.508870+1 2.399390+6 3.626500+1 2.322750+6210023501 179 3.713090+1 2.266340+6 3.801750+1 2.208570+6 3.831660+1 2.189080+6210023501 180 3.848340+1 2.178220+6 3.861980+1 2.169330+6 3.874120+1 2.161420+6210023501 181 3.884630+1 2.154580+6 3.894610+1 2.148080+6 3.899000+1 2.145220+6210023501 182 3.906000+1 2.140710+6 3.906000+1 4.410550+6 3.913100+1 4.389980+6210023501 183 3.931680+1 4.336140+6 3.948420+1 4.287640+6 3.960000+1 4.254080+6210023501 184 3.960000+1 5.376300+6 3.964140+1 5.360020+6 3.979130+1 5.301060+6210023501 185 3.999640+1 5.220380+6 4.000000+1 5.218960+6 4.007230+1 5.190510+6210023501 186 4.033670+1 5.086450+6 4.039000+1 5.065480+6 4.130160+1 4.712380+6210023501 187 4.203920+1 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6.718800+0 4.486150-1210027502 1892 6.906300+0 4.256400-1 7.000000+0 4.156000-1 7.250000+0 3.929900-1210027502 1893 7.625000+0 3.639520-1 7.812500+0 3.493530-1 8.000000+0 3.338000-1210027502 1894 8.183600+0 3.173270-1 8.352100+0 3.016110-1 8.558000+0 2.821860-1210027502 1895 8.822400+0 2.577870-1 9.116800+0 2.321990-1 1.000000+1 1.703000-1210027502 1896 1.031300+1 1.538600-1 1.500000+1 4.819200-2 1.562500+1 4.216990-2210027502 1897 1.671900+1 3.357220-2 1.753900+1 2.844790-2 1.877000+1 2.239360-2210027502 1898 2.000000+1 1.784500-2 2.187500+1 1.291150-2 2.539100+1 7.492030-3210027502 1899 2.846700+1 4.913490-3 3.385000+1 2.578340-3 4.192500+1 1.154410-3210027502 1900 5.000000+1 5.937900-4 7.250000+1 1.459060-4 8.000000+1 1.007100-4210027502 1901 9.500000+1 5.287460-5 1.000000+2 4.366500-5 1.205000+2 2.189810-5210027502 1902 1.418200+2 1.206320-5 1.711700+2 6.105380-6 2.014900+2 3.404290-6210027502 1903 2.264400+2 2.248480-6 2.747900+2 1.137370-6 3.201200+2 6.677410-7210027502 1904 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4.404610+3 9.429290-1210027505 1996 4.410170+3 1.031440+0 4.415270+3 1.132310+0 4.421390+3 1.280420+0210027505 1997 4.429210+3 1.515970+0 4.437790+3 1.835010+0 4.447420+3 2.262120+0210027505 1998 4.464950+3 3.162440+0 4.482470+3 4.062740+0 4.498710+3 4.747410+0210027505 1999 4.514280+3 5.200990+0 4.533960+3 5.508900+0 4.552730+3 5.616040+0210027505 2000 4.586280+3 5.567930+0 4.651410+3 5.475010+0 4.704210+3 5.400620+0210027505 2001 4.800510+3 5.265690+0 4.944980+3 5.063880+0 5.089440+3 4.866300+0210027505 2002 5.265550+3 4.612360+0 5.353600+3 4.485530+0 5.441660+3 4.359920+0210027505 2003 5.738560+3 4.011370+0 5.875241+3 3.852520+0 5.947500+3 3.769090+0210027505 2004 6.019770+3 3.686160+0 6.245991+3 3.466420+0 6.397010+3 3.341240+0210027505 2005 6.539300+3 3.226230+0 6.685960+3 3.107790+0 6.763120+3 3.045540+0210027505 2006 6.814280+3 3.004460+0 6.853330+3 2.976240+0 6.893451+3 2.950070+0210027505 2007 6.968690+3 2.901110+0 7.255500+3 2.715170+0 7.404210+3 2.619380+0210027505 2008 7.472560+3 2.575500+0 7.536491+3 2.538820+0 7.897840+3 2.349330+0210027505 2009 8.112721+3 2.247630+0 8.474460+3 2.090920+0 9.391701+3 1.752070+0210027505 2010 9.881920+3 1.600470+0 1.060870+4 1.403830+0 1.172540+4 1.175140+0210027505 2011 1.283020+4 9.971080-1 1.376470+4 8.789410-1 1.465770+4 7.836440-1210027505 2012 1.558990+4 6.971030-1 1.684460+4 6.011390-1 1.792550+4 5.332100-1210027505 2013 1.972860+4 4.424510-1 2.192830+4 3.605560-1 2.380940+4 3.073730-1210027505 2014 2.560320+4 2.674800-1 2.740610+4 2.343850-1 2.933620+4 2.046110-1210027505 2015 3.116310+4 1.808050-1 3.325390+4 1.585600-1 3.607810+4 1.338790-1210027505 2016 3.994270+4 1.088380-1 4.314830+4 9.293450-2 4.548030+4 8.343910-2210027505 2017 4.844560+4 7.338280-2 5.285870+4 6.133950-2 5.648840+4 5.319360-2210027505 2018 6.130440+4 4.481520-2 6.521460+4 3.931830-2 7.088890+4 3.294620-2210027505 2019 7.405920+4 3.007050-2 7.920660+4 2.604890-2 8.637790+4 2.169920-2210027505 2020 9.101570+4 1.941930-2 9.774879+4 1.673170-2 1.060220+5 1.409620-2210027505 2021 1.139010+5 1.210060-2 1.229070+5 1.030150-2 1.308640+5 9.027160-3210027505 2022 1.416580+5 7.618950-3 1.470230+5 7.046460-3 1.582170+5 6.026720-3210027505 2023 1.730830+5 4.987880-3 1.839040+5 4.390390-3 1.942120+5 3.906060-3210027505 2024 2.051330+5 3.485200-3 2.220390+5 2.977010-3 2.378050+5 2.588440-3210027505 2025 2.604350+5 2.156850-3 2.755110+5 1.926120-3 2.903370+5 1.730240-3210027505 2026 3.109840+5 1.514190-3 3.311840+5 1.345690-3 3.542840+5 1.186720-3210027505 2027 3.899760+5 9.913720-4 4.153910+5 8.920490-4 4.598630+5 7.488090-4210027505 2028 5.038940+5 6.427570-4 5.504060+5 5.552670-4 5.841390+5 5.086660-4210027505 2029 6.461930+5 4.399960-4 7.196460+5 3.778760-4 7.798130+5 3.417830-4210027505 2030 8.465560+5 3.090270-4 9.101570+5 2.839100-4 9.809980+5 6.037600-5210027505 2031 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0210027505 2032 210027 0 2033 2.100000+4 4.456970+1 0 0 0 0210027506 2034 0.000000+0 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5.441660+3-9.416450-1210027506 2085 5.738560+3-5.163980-1 5.875241+3-3.516230-1 5.947500+3-2.796980-1210027506 2086 6.019770+3-2.266770-1 6.245991+3-8.501770-2 6.397010+3 2.416290-3210027506 2087 6.539300+3 8.587410-2 6.685960+3 1.637850-1 6.763120+3 1.962700-1210027506 2088 6.814280+3 2.120960-1 6.853330+3 2.158210-1 6.893451+3 2.262430-1210027506 2089 6.968690+3 2.511710-1 7.255500+3 3.521090-1 7.404210+3 3.940280-1210027506 2090 7.472560+3 4.060390-1 7.536491+3 4.093860-1 7.897840+3 4.718240-1210027506 2091 8.112721+3 4.894340-1 8.474460+3 5.379110-1 9.391701+3 5.880850-1210027506 2092 9.881920+3 6.090650-1 1.060870+4 5.981930-1 1.172540+4 5.827350-1210027506 2093 1.283020+4 5.568280-1 1.376470+4 5.281930-1 1.465770+4 5.045780-1210027506 2094 1.558990+4 4.806860-1 1.684460+4 4.473360-1 1.792550+4 4.173550-1210027506 2095 1.972860+4 3.777920-1 2.192830+4 3.313390-1 2.380940+4 2.996900-1210027506 2096 2.560320+4 2.722320-1 2.740610+4 2.491420-1 2.933620+4 2.277680-1210027506 2097 3.116310+4 2.096010-1 3.325390+4 1.908720-1 3.607810+4 1.702130-1210027506 2098 3.994270+4 1.459950-1 4.314830+4 1.301510-1 4.548030+4 1.197740-1210027506 2099 4.844560+4 1.085390-1 5.285870+4 9.471910-2 5.648840+4 8.509850-2210027506 2100 6.130440+4 7.445680-2 6.521460+4 6.714030-2 7.088890+4 5.842700-2210027506 2101 7.405920+4 5.418850-2 7.920660+4 4.832430-2 8.637790+4 4.172730-2210027506 2102 9.101570+4 3.804690-2 9.774879+4 3.361870-2 1.060220+5 2.918900-2210027506 2103 1.139010+5 2.570590-2 1.229070+5 2.244620-2 1.308640+5 2.004970-2210027506 2104 1.416580+5 1.736530-2 1.470230+5 1.620350-2 1.582170+5 1.415640-2210027506 2105 1.730830+5 1.200500-2 1.839040+5 1.068020-2 1.942120+5 9.521890-3210027506 2106 2.051330+5 8.491310-3 2.220390+5 7.206560-3 2.378050+5 6.223640-3210027506 2107 2.604350+5 5.133780-3 2.755110+5 4.550340-3 2.903370+5 4.051720-3210027506 2108 3.109840+5 3.483620-3 3.311840+5 3.027560-3 3.542840+5 2.598460-3210027506 2109 3.899760+5 2.079550-3 4.153910+5 1.788650-3 4.598630+5 1.391580-3210027506 2110 5.038940+5 1.096090-3 5.504060+5 8.591730-4 5.841390+5 7.201210-4210027506 2111 6.461930+5 5.213690-4 7.196460+5 3.478810-4 7.798130+5 2.403880-4210027506 2112 8.465560+5 1.475260-4 9.101570+5 7.733020-5 9.809980+5 1.630280-5210027506 2113 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0210027506 2114 210027 0 2115 2100 0 0 2116 0 0 0 2117 2.200000+4 4.748850+1 -1 0 2 22200 1451 1 0.000000+0 0.000000+0 0 0 0 62200 1451 2 0.000000+0 0.000000+0 0 0 3 22200 1451 3 0.000000+0 0.000000+0 0 0 134 222200 1451 4 22-TI LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2200 1451 6 ----JEF-2 MATERIAL 2200 REVISION 0 2200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2200 1451 8 ------ENDF-6 FORMAT 2200 1451 9 ******************************************************************2200 1451 10 * JEF-2 *2200 1451 11 * DATA TAKEN FROM EPDL *2200 1451 12 ******************************************************************2200 1451 13 =================================================================2200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2200 1451 15 ENDF/B-VI FORMAT 2200 1451 16 =================================================================2200 1451 17 CONTENTS 2200 1451 18 =================================================================2200 1451 19 MF/MT DESCRIPTION 2200 1451 20 =================================================================2200 1451 21 23/501 TOTAL CROSS SECTION 2200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 38 =================================================================2200 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2200 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2200 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2200 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2200 1451 43 =================================================================2200 1451 44 WARNING 2200 1451 45 =================================================================2200 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2200 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2200 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2200 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2200 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2200 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2200 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2200 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2200 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2200 1451 55 =================================================================2200 1451 56 DEFINITION OF NEW TYPES OF DATA 2200 1451 57 =================================================================2200 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2200 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2200 1451 60 2200 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2200 1451 62 C2 FIELDS ARE, 2200 1451 63 2200 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2200 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2200 1451 66 2200 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2200 1451 68 2200 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2200 1451 70 2200 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2200 1451 72 T = THE THOMSON CROSS SECTION 2200 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2200 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2200 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2200 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2200 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2200 1451 78 2200 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2200 1451 80 2200 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2200 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2200 1451 83 =================================================================2200 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2200 1451 85 =================================================================2200 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2200 1451 87 HERE - 10 EV TO 100 MEV 2200 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2200 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2200 1451 90 HERE - PHOTON INTERACTION 2200 1451 91 - AVERAGE FLUORESCENCE YIELD 2200 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2200 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2200 1451 94 HERE - NO SECONDARY ENERGY DATA 2200 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2200 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2200 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2200 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2200 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2200 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2200 1451 101 (SINCE THEY CAN BE NEGATIVE). 2200 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2200 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2200 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2200 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2200 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2200 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2200 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2200 1451 109 =================================================================2200 1451 110 REFERENCES 2200 1451 111 =================================================================2200 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2200 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2200 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2200 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2200 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2200 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2200 1451 118 2200 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2200 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2200 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2200 1451 122 OF THE DATA, ETC. 2200 1451 123 =================================================================2200 1451 124 HISTORY 2200 1451 125 =================================================================2200 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2200 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2200 1451 128 CROSS SECTIONS. 2200 1451 129 =================================================================2200 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2200 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2200 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2200 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2200 1451 134 *RECONSTRUCTED MT NUMBERS 2200 1451 135 516 =+(515,515)+(517,517) 2200 1451 136 522 =+(534,572) 2200 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2200 1451 138 1 451 160 12200 1451 139 23 501 460 12200 1451 140 23 502 99 12200 1451 141 23 504 31 12200 1451 142 23 515 30 12200 1451 143 23 516 58 12200 1451 144 23 517 41 12200 1451 145 23 522 326 22200 1451 146 23 534 47 22200 1451 147 23 535 55 22200 1451 148 23 536 66 22200 1451 149 23 537 66 22200 1451 150 23 538 60 22200 1451 151 23 539 74 22200 1451 152 23 540 74 22200 1451 153 23 541 90 22200 1451 154 23 542 90 22200 1451 155 23 543 69 22200 1451 156 27 502 50 12200 1451 157 27 504 40 12200 1451 158 27 505 81 12200 1451 159 27 506 81 12200 1451 160 2200 1 0 161 2200 0 0 162 2.200000+4 4.748850+1 0 0 0 0220023501 163 0.000000+0 0.000000+0 0 0 1 1369220023501 164 1369 2 0 0 0 0220023501 165 1.000000+1 2.558140+6 1.035460+1 2.675920+6 1.062880+1 2.767570+6220023501 166 1.073340+1 2.802730+6 1.083910+1 2.838250+6 1.116250+1 2.947730+6220023501 167 1.149560+1 3.061630+6 1.154780+1 3.079590+6 1.168840+1 3.127970+6220023501 168 1.188440+1 3.195410+6 1.208370+1 3.264940+6 1.228630+1 3.335610+6220023501 169 1.273210+1 3.491930+6 1.319400+1 3.656520+6 1.321580+1 3.664270+6220023501 170 1.347380+1 3.755900+6 1.355400+1 3.784390+6 1.362400+1 3.806190+6220023501 171 1.406800+1 3.946490+6 1.425870+1 4.005890+6 1.499770+1 4.236040+6220023501 172 1.500000+1 4.236760+6 1.554920+1 4.361940+6 1.655920+1 4.583530+6220023501 173 1.688590+1 4.651720+6 1.798500+1 4.881140+6 1.817740+1 4.919950+6220023501 174 1.861210+1 5.007630+6 1.887140+1 5.032510+6 2.094430+1 5.231390+6220023501 175 2.250550+1 5.381170+6 2.308430+1 5.415110+6 2.546440+1 5.428510+6220023501 176 2.635220+1 5.433510+6 2.648450+1 5.430880+6 2.664800+1 5.421370+6220023501 177 2.710810+1 5.394620+6 2.851740+1 5.311480+6 3.000000+1 5.224020+6220023501 178 3.021280+1 5.203460+6 3.464100+1 4.775440+6 3.508870+1 4.728030+6220023501 179 3.864350+1 4.351590+6 3.999640+1 4.208330+6 4.000000+1 4.207950+6220023501 180 4.121500+1 4.078690+6 4.331180+1 3.855620+6 4.368080+1 3.816370+6220023501 181 4.388680+1 3.794460+6 4.405750+1 3.776300+6 4.424170+1 3.756700+6220023501 182 4.442000+1 3.737740+6 4.442000+1 5.401520+6 4.448610+1 5.385980+6220023501 183 4.472140+1 5.330690+6 4.473190+1 5.328460+6 4.485060+1 5.303250+6220023501 184 4.507130+1 5.256370+6 4.510000+1 5.250280+6 4.510000+1 6.071790+6220023501 185 4.541160+1 5.987160+6 4.575580+1 5.893670+6 4.601000+1 5.824620+6220023501 186 4.648900+1 5.688130+6 4.792280+1 5.279560+6 4.796350+1 5.268450+6220023501 187 4.820970+1 5.208260+6 4.940940+1 4.914940+6 5.000000+1 4.776780+6220023501 188 5.159160+1 4.451280+6 5.172620+1 4.425340+6 5.323390+1 4.150040+6220023501 189 5.342060+1 4.120200+6 5.415170+1 4.003340+6 5.477230+1 3.912920+6220023501 190 5.480580+1 3.908570+6 5.555800+1 3.810850+6 5.563460+1 3.802330+6220023501 191 5.700090+1 3.650220+6 5.848120+1 3.499890+6 5.907920+1 3.446640+6220023501 192 6.000000+1 3.364650+6 6.201610+1 3.231230+6 6.357250+1 3.135630+6220023501 193 6.369710+1 3.129190+6 6.480740+1 3.071760+6 6.516800+1 3.054780+6220023501 194 6.741730+1 2.958100+6 6.792780+1 2.936150+6 6.832760+1 2.918970+6220023501 195 6.848000+1 2.912420+6 6.861000+1 2.907920+6 6.861000+1 3.342280+6220023501 196 6.911460+1 3.320670+6 6.928200+1 3.313500+6 6.969130+1 3.296150+6220023501 197 7.000000+1 3.283070+6 7.118130+1 3.236620+6 7.130010+1 3.232810+6220023501 198 7.245600+1 3.195740+6 7.248890+1 3.194780+6 7.483310+1 3.126410+6220023501 199 7.483320+1 3.126400+6 7.499830+1 3.122110+6 8.000000+1 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2.652820-6 8.000000+4 2.150500-6 8.458970+4 1.665080-6220023542 1812 8.820400+4 1.374380-6 9.101570+4 1.190180-6 9.540210+4 9.591080-7220023542 1813 1.000000+5 7.729000-7 1.051990+5 6.163300-7 1.099690+5 5.055830-7220023542 1814 1.143200+5 4.251320-7 1.182690+5 3.653120-7 1.218350+5 3.199160-7220023542 1815 1.283370+5 2.536230-7 1.334400+5 2.130850-7 1.374000+5 1.869930-7220023542 1816 1.435620+5 1.537210-7 1.500000+5 1.263700-7 1.554920+5 1.085000-7220023542 1817 1.604630+5 9.495000-8 1.695460+5 7.518080-8 1.766950+5 6.310520-8220023542 1818 1.822530+5 5.533940-8 1.909200+5 4.544520-8 2.000000+5 3.732000-8220023542 1819 2.077490+5 3.202650-8 2.147750+5 2.801440-8 2.276470+5 2.216450-8220023542 1820 2.378050+5 1.859370-8 2.457200+5 1.629840-8 2.580890+5 1.337570-8220023542 1821 2.710810+5 1.097710-8 2.851740+5 9.054420-9 3.000000+5 7.468500-9220023542 1822 3.109840+5 6.569020-9 3.311840+5 5.247700-9 3.471900+5 4.434240-9220023542 1823 3.597000+5 3.908030-9 3.793150+5 3.233440-9 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6.151680+4220023543 1851 1.319400+1 7.689710+4 1.362400+1 9.072060+4 1.406800+1 1.070290+5220023543 1852 1.500000+1 1.370180+5 1.554920+1 1.510020+5 1.655920+1 1.681100+5220023543 1853 1.798500+1 1.770550+5 2.710810+1 1.701820+5 3.000000+1 1.655810+5220023543 1854 3.464100+1 1.514980+5 4.000000+1 1.386120+5 4.472140+1 1.256810+5220023543 1855 5.000000+1 1.139560+5 6.000000+1 9.370390+4 6.928200+1 7.823490+4220023543 1856 8.000000+1 6.531960+4 8.653970+1 5.848190+4 9.929660+1 4.819280+4220023543 1857 1.100840+2 4.168240+4 1.189370+2 3.738360+4 1.335680+2 3.175210+4220023543 1858 1.500000+2 2.696900+4 1.732050+2 2.188670+4 2.000000+2 1.776210+4220023543 1859 2.213360+2 1.513290+4 2.388200+2 1.341970+4 2.676670+2 1.120660+4220023543 1860 3.000000+2 9.358430+3 3.249610+2 8.145820+3 3.484990+2 7.214400+3220023543 1861 3.938690+2 5.833310+3 4.317310+2 4.973940+3 4.624980+2 4.413570+3220023543 1862 5.128080+2 3.689130+3 5.685900+2 3.083600+3 6.101680+2 2.700510+3220023543 1863 6.490350+2 2.404560+3 7.231050+2 1.962540+3 7.841530+2 1.685210+3220023543 1864 8.332990+2 1.503250+3 9.128520+2 1.266480+3 1.000000+3 1.067000+3220023543 1865 1.106680+3 8.716280+2 1.194100+3 7.489550+2 1.338340+3 5.965450+2220023543 1866 1.500000+3 4.751500+2 1.611850+3 4.091660+2 1.795470+3 3.269660+2220023543 1867 2.000000+3 2.612800+2 2.213360+3 2.097040+2 2.388200+3 1.778210+2220023543 1868 2.528320+3 1.571320+2 2.754080+3 1.305230+2 3.000000+3 1.084200+2220023543 1869 3.192660+3 9.380700+1 3.371360+3 8.264580+1 3.708500+3 6.621320+1220023543 1870 3.983290+3 5.607090+1 4.202670+3 4.949740+1 4.554600+3 4.105350+1220023543 1871 4.936000+3 3.405000+1 5.243120+3 2.931650+1 5.527480+3 2.571770+1220023543 1872 6.062721+3 2.045000+1 6.497900+3 1.722030+1 6.844670+3 1.513730+1220023543 1873 7.399820+3 1.247570+1 8.000000+3 1.028200+1 8.458970+3 8.900960+0220023543 1874 9.197270+3 7.169280+0 1.000000+4 5.774500+0 1.051990+4 5.041470+0220023543 1875 1.149560+4 3.975410+0 1.228630+4 3.326600+0 1.291480+4 2.910480+0220023543 1876 1.391840+4 2.381830+0 1.500000+4 1.949200+0 1.611850+4 1.596640+0220023543 1877 1.701190+4 1.374740+0 1.844550+4 1.098350+0 2.000000+4 8.775300-1220023543 1878 2.103980+4 7.591090-1 2.199390+4 6.686770-1 2.376880+4 5.355660-1220023543 1879 2.519330+4 4.534290-1 2.631750+4 4.002050-1 2.809850+4 3.318500-1220023543 1880 3.000000+4 2.751700-1 3.197810+4 2.277790-1 3.381560+4 1.930580-1220023543 1881 3.550980+4 1.670470-1 3.706180+4 1.471790-1 3.994270+4 1.179260-1220023543 1882 4.224940+4 9.986970-2 4.406640+4 8.816600-2 4.693950+4 7.313100-2220023543 1883 5.000000+4 6.066000-2 5.221370+4 5.314240-2 5.437800+4 4.694310-2220023543 1884 5.868070+4 3.720200-2 6.272390+4 3.035190-2 6.648960+4 2.540110-2220023543 1885 6.996970+4 2.173640-2 7.316380+4 1.896620-2 7.910829+4 1.494050-2220023543 1886 8.388160+4 1.249270-2 8.764960+4 1.092380-2 9.362140+4 8.932010-3220023543 1887 1.000000+5 7.303400-3 1.044270+5 6.391020-3 1.087560+5 5.639450-3220023543 1888 1.173610+5 4.460280-3 1.254480+5 3.632640-3 1.329790+5 3.035460-3220023543 1889 1.399390+5 2.594040-3 1.463280+5 2.260790-3 1.582170+5 1.777280-3220023543 1890 1.677630+5 1.483810-3 1.752990+5 1.295970-3 1.872430+5 1.057830-3220023543 1891 2.000000+5 8.634600-4 2.103980+5 7.419300-4 2.199390+5 6.497080-4220023543 1892 2.376880+5 5.150390-4 2.519330+5 4.326950-4 2.631750+5 3.796970-4220023543 1893 2.809850+5 3.121200-4 3.000000+5 2.565700-4 3.223710+5 2.089950-4220023543 1894 3.402370+5 1.791980-4 3.689100+5 1.422750-4 4.000000+5 1.129600-4220023543 1895 4.229490+5 9.718490-5 4.598630+5 7.755500-5 5.000000+5 6.189000-5220023543 1896 5.477230+5 4.908160-5 6.000000+5 3.892400-5 6.447420+5 3.288840-5220023543 1897 6.804750+5 2.898430-5 7.378210+5 2.397950-5 8.000000+5 1.983900-5220023543 1898 8.458970+5 1.763310-5 9.197270+5 1.477550-5 1.000000+6 1.238100-5220023543 1899 1.022000+6 1.185420-5 1.130270+6 9.707380-6 1.250000+6 7.999700-6220023543 1900 1.369310+6 6.773560-6 1.500000+6 5.735360-6 1.611850+6 5.086610-6220023543 1901 1.795470+6 4.248450-6 2.000000+6 3.548400-6 2.044000+6 3.428200-6220023543 1902 2.249780+6 2.972050-6 2.597950+6 2.399070-6 3.000000+6 1.936550-6220023543 1903 3.464100+6 1.592050-6 4.000000+6 1.308840-6 4.472140+6 1.133970-6220023543 1904 5.000000+6 9.824660-7 5.477230+6 8.774370-7 6.000000+6 7.836360-7220023543 1905 7.000000+6 6.508320-7 8.000000+6 5.560070-7 9.000000+6 4.849730-7220023543 1906 1.000000+7 4.299650-7 1.100000+7 3.859750-7 1.200000+7 3.501650-7220023543 1907 1.300000+7 3.203660-7 1.400000+7 2.951570-7 1.500000+7 2.736210-7220023543 1908 1.600000+7 2.550070-7 1.800000+7 2.244560-7 2.000000+7 2.004160-7220023543 1909 2.200000+7 1.810510-7 2.400000+7 1.650240-7 2.600000+7 1.516690-7220023543 1910 2.800000+7 1.402330-7 3.000000+7 1.304670-7 3.464100+7 1.122990-7220023543 1911 4.000000+7 9.666060-8 4.472140+7 8.613800-8 5.000000+7 7.676090-8220023543 1912 6.000000+7 6.365580-8 6.928200+7 5.495620-8 8.000000+7 4.744550-8220023543 1913 8.944271+7 4.235620-8 1.000000+8 3.781280-8 0.000000+0 0.000000+0220023543 1914 220023 0 1915 2200 0 0 1916 2.200000+4 4.748850+1 0 0 0 0220027502 1917 0.000000+0 2.200000+1 0 0 2 139220027502 1918 2 2 139 5 0 0220027502 1919 0.000000+0 2.200000+1 1.000000-3 2.200000+1 5.000000-3 2.198600+1220027502 1920 8.750000-3 2.196650+1 1.000000-2 2.195900+1 1.500000-2 2.191800+1220027502 1921 2.000000-2 2.185500+1 2.375000-2 2.179640+1 2.500000-2 2.177500+1220027502 1922 2.875000-2 2.170530+1 3.000000-2 2.168000+1 3.437500-2 2.158140+1220027502 1923 3.812500-2 2.149130+1 4.000000-2 2.144600+1 4.500000-2 2.131260+1220027502 1924 5.000000-2 2.117100+1 5.500000-2 2.101430+1 5.875000-2 2.089120+1220027502 1925 6.000000-2 2.085030+1 6.437500-2 2.069920+1 7.000000-2 2.050200+1220027502 1926 7.687500-2 2.025300+1 8.437500-2 1.997680+1 8.500000-2 1.995350+1220027502 1927 9.000000-2 1.976900+1 9.750000-2 1.948700+1 1.000000-1 1.939500+1220027502 1928 1.125000-1 1.893490+1 1.187500-1 1.870800+1 1.250000-1 1.848500+1220027502 1929 1.437500-1 1.782920+1 1.500000-1 1.761800+1 1.750000-1 1.680600+1220027502 1930 2.000000-1 1.603500+1 2.250000-1 1.528350+1 2.375000-1 1.491630+1220027502 1931 2.500000-1 1.455500+1 2.750000-1 1.385030+1 2.875000-1 1.350760+1220027502 1932 3.000000-1 1.317400+1 3.250000-1 1.252860+1 3.437500-1 1.206950+1220027502 1933 3.625000-1 1.163310+1 4.000000-1 1.082900+1 4.500000-1 9.896440+0220027502 1934 5.000000-1 9.122400+0 5.500000-1 8.490830+0 5.750000-1 8.221720+0220027502 1935 6.000000-1 7.978600+0 6.750000-1 7.382750+0 7.000000-1 7.217300+0220027502 1936 8.000000-1 6.657100+0 9.000000-1 6.178500+0 9.750000-1 5.837160+0220027502 1937 1.000000+0 5.725400+0 1.062500+0 5.446980+0 1.109400+0 5.239910+0220027502 1938 1.179700+0 4.931530+0 1.250000+0 4.626700+0 1.312500+0 4.359700+0220027502 1939 1.394500+0 4.023860+0 1.437500+0 3.855680+0 1.500000+0 3.623700+0220027502 1940 1.625000+0 3.203090+0 1.750000+0 2.840270+0 1.789100+0 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2.664800+1-2.235220+1220027506 2097 2.851740+1-2.228170+1 3.000000+1-2.222630+1 3.864350+1-2.214040+1220027506 2098 4.121500+1-2.241980+1 4.331180+1-2.307770+1 4.368080+1-2.342590+1220027506 2099 4.388680+1-2.370100+1 4.405750+1-2.394860+1 4.424170+1-2.417480+1220027506 2100 4.473190+1-2.422870+1 4.491600+1-2.404910+1 4.507130+1-2.382020+1220027506 2101 4.541160+1-2.335020+1 4.575580+1-2.283140+1 4.648900+1-2.212840+1220027506 2102 4.820970+1-2.132440+1 5.000000+1-2.092160+1 5.342060+1-2.058880+1220027506 2103 5.563460+1-2.054740+1 5.907920+1-2.061640+1 6.357250+1-2.085670+1220027506 2104 6.741730+1-2.130170+1 6.792780+1-2.149140+1 6.832760+1-2.162260+1220027506 2105 6.911460+1-2.154780+1 6.969130+1-2.132630+1 7.248890+1-2.089690+1220027506 2106 9.433390+1-1.962100+1 1.052340+2-1.891890+1 1.123520+2-1.845460+1220027506 2107 1.288420+2-1.747390+1 1.611850+2-1.593240+1 1.858490+2-1.503580+1220027506 2108 2.151150+2-1.427880+1 2.624270+2-1.359800+1 3.135980+2-1.350430+1220027506 2109 3.545030+2-1.399790+1 3.736390+2-1.444610+1 4.060040+2-1.568070+1220027506 2110 4.270190+2-1.707150+1 4.362120+2-1.798960+1 4.480480+2-1.988150+1220027506 2111 4.539820+2-2.146570+1 4.565650+2-2.253710+1 4.581910+2-2.339860+1220027506 2112 4.594440+2-2.416130+1 4.605140+2-2.486250+1 4.615470+2-2.555610+1220027506 2113 4.626320+2-2.623490+1 4.634080+2-2.668720+1 4.657110+2-2.754350+1220027506 2114 4.683560+2-2.763260+1 4.701130+2-2.718910+1 4.723240+2-2.616680+1220027506 2115 4.760680+2-2.405280+1 4.787660+2-2.259020+1 4.814080+2-2.120780+1220027506 2116 4.857790+2-1.946590+1 4.943950+2-1.731300+1 5.058750+2-1.547020+1220027506 2117 5.179330+2-1.417630+1 5.330340+2-1.312040+1 5.443690+2-1.275670+1220027506 2118 5.511330+2-1.295440+1 5.556860+2-1.308340+1 5.594390+2-1.283990+1220027506 2119 5.633940+2-1.218840+1 5.691960+2-1.122340+1 5.745060+2-1.060180+1220027506 2120 5.857470+2-9.657940+0 6.000000+2-8.704180+0 6.182840+2-7.679840+0220027506 2121 6.364410+2-6.813920+0 6.710250+2-5.637290+0 7.027930+2-4.771370+0220027506 2122 7.601610+2-3.654970+0 8.182610+2-2.826180+0 8.332990+2-2.666120+0220027506 2123 8.820400+2-2.192110+0 9.518340+2-1.719200+0 1.023460+3-1.405050+0220027506 2124 1.051990+3-1.301140+0 1.121920+3-1.095220+0 1.156870+3-1.013210+0220027506 2125 1.194100+3-9.316480-1 1.264160+3-8.476280-1 1.310420+3-8.015200-1220027506 2126 1.446730+3-7.558080-1 1.574150+3-7.493400-1 1.643140+3-7.634230-1220027506 2127 1.771420+3-7.945120-1 1.936880+3-8.668260-1 2.056130+3-9.272620-1220027506 2128 2.143590+3-9.765810-1 2.387330+3-1.122140+0 2.668810+3-1.287460+0220027506 2129 2.941660+3-1.477360+0 3.176580+3-1.644760+0 3.311840+3-1.749090+0220027506 2130 3.667350+3-2.065290+0 3.900610+3-2.314190+0 4.111200+3-2.600670+0220027506 2131 4.269140+3-2.872610+0 4.506060+3-3.456080+0 4.632710+3-3.950840+0220027506 2132 4.753700+3-4.685470+0 4.800740+3-5.155540+0 4.828350+3-5.547560+0220027506 2133 4.841630+3-5.789020+0 4.850560+3-5.975480+0 4.858700+3-6.164380+0220027506 2134 4.863740+3-6.289580+0 4.868460+3-6.412960+0 4.872900+3-6.533680+0220027506 2135 4.879050+3-6.704880+0 4.884700+3-6.866960+0 4.891470+3-7.061060+0220027506 2136 4.900120+3-7.298800+0 4.909610+3-7.533780+0 4.920260+3-7.741750+0220027506 2137 4.941530+3-7.884880+0 4.962790+3-7.664150+0 4.980990+3-7.218800+0220027506 2138 5.003040+3-6.573710+0 5.031790+3-5.793640+0 5.064610+3-5.138710+0220027506 2139 5.121040+3-4.421680+0 5.163070+3-3.981790+0 5.257660+3-3.231120+0220027506 2140 5.350370+3-2.707620+0 5.485260+3-2.107480+0 5.593880+3-1.727610+0220027506 2141 5.756820+3-1.275260+0 5.838290+3-1.095630+0 5.935140+3-9.354980-1220027506 2142 6.169130+3-5.958400-1 6.293820+3-4.489310-1 6.356160+3-3.915070-1220027506 2143 6.491701+3-3.215550-1 6.747920+3-1.362910-1 6.876020+3-5.417610-2220027506 2144 6.940080+3-2.026520-2 6.985530+3-4.886620-3 7.086620+3 2.969740-2220027506 2145 7.375350+3 1.624770-1 7.447911+3 1.935080-1 7.555810+3 2.340790-1220027506 2146 7.609940+3 2.504540-1 7.650540+3 2.592460-1 7.695060+3 2.640650-1220027506 2147 7.811570+3 2.930120-1 8.007000+3 3.450580-1 8.113760+3 3.671330-1220027506 2148 8.188290+3 3.739690-1 8.662880+3 4.674280-1 8.860231+3 4.869630-1220027506 2149 9.321350+3 5.507050-1 1.003160+4 5.984370-1 1.103740+4 6.057700-1220027506 2150 1.213440+4 6.072040-1 1.359490+4 5.715560-1 1.488230+4 5.405150-1220027506 2151 1.589790+4 5.119040-1 1.710390+4 4.823480-1 1.839720+4 4.510880-1220027506 2152 1.949830+4 4.254680-1 2.094050+4 3.946350-1 2.218310+4 3.675240-1220027506 2153 2.356360+4 3.425800-1 2.573090+4 3.080710-1 2.762400+4 2.805630-1220027506 2154 2.956390+4 2.569320-1 3.178790+4 2.336610-1 3.430910+4 2.105410-1220027506 2155 3.687060+4 1.898630-1 3.911490+4 1.739210-1 4.249590+4 1.541100-1220027506 2156 4.746500+4 1.302030-1 5.156270+4 1.147730-1 5.530590+4 1.025100-1220027506 2157 5.868070+4 9.317410-2 6.184060+4 8.550950-2 6.704080+4 7.512080-2220027506 2158 7.257150+4 6.585200-2 7.910829+4 5.708650-2 8.743800+4 4.808470-2220027506 2159 9.399070+4 4.246390-2 1.000000+5 3.812300-2 1.075580+5 3.357110-2220027506 2160 1.134590+5 3.047940-2 1.283370+5 2.447410-2 1.413860+5 2.062180-2220027506 2161 1.510740+5 1.824700-2 1.620180+5 1.602330-2 1.747480+5 1.393300-2220027506 2162 1.900090+5 1.192400-2 2.051330+5 1.030290-2 2.218670+5 8.733380-3220027506 2163 2.365370+5 7.635170-3 2.518290+5 6.679360-3 2.668810+5 5.898350-3220027506 2164 2.820690+5 5.224460-3 3.118950+5 4.199660-3 3.487830+5 3.260310-3220027506 2165 3.796390+5 2.682220-3 4.182500+5 2.133620-3 4.511360+5 1.769400-3220027506 2166 4.695850+5 1.602540-3 5.071510+5 1.305010-3 5.516260+5 1.032680-3220027506 2167 5.882690+5 8.533190-4 6.433520+5 6.398460-4 6.647630+5 5.705550-4220027506 2168 7.279380+5 4.007120-4 8.000000+5 2.541520-4 8.824980+5 1.284510-4220027506 2169 9.101570+5 9.686640-5 9.777460+5 2.094160-5 1.000000+6 0.000000+0220027506 2170 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0220027506 2171 220027 0 2172 2200 0 0 2173 0 0 0 2174 2.300000+4 5.050380+1 -1 0 2 22300 1451 1 0.000000+0 0.000000+0 0 0 0 62300 1451 2 0.000000+0 0.000000+0 0 0 3 22300 1451 3 0.000000+0 0.000000+0 0 0 134 222300 1451 4 23-V LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2300 1451 6 ----JEF-2 MATERIAL 2300 REVISION 0 2300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2300 1451 8 ------ENDF-6 FORMAT 2300 1451 9 ******************************************************************2300 1451 10 * JEF-2 *2300 1451 11 * DATA TAKEN FROM EPDL *2300 1451 12 ******************************************************************2300 1451 13 =================================================================2300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2300 1451 15 ENDF/B-VI FORMAT 2300 1451 16 =================================================================2300 1451 17 CONTENTS 2300 1451 18 =================================================================2300 1451 19 MF/MT DESCRIPTION 2300 1451 20 =================================================================2300 1451 21 23/501 TOTAL CROSS SECTION 2300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 38 =================================================================2300 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2300 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2300 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2300 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2300 1451 43 =================================================================2300 1451 44 WARNING 2300 1451 45 =================================================================2300 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2300 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2300 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2300 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2300 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2300 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2300 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2300 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2300 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2300 1451 55 =================================================================2300 1451 56 DEFINITION OF NEW TYPES OF DATA 2300 1451 57 =================================================================2300 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2300 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2300 1451 60 2300 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2300 1451 62 C2 FIELDS ARE, 2300 1451 63 2300 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2300 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2300 1451 66 2300 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2300 1451 68 2300 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2300 1451 70 2300 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2300 1451 72 T = THE THOMSON CROSS SECTION 2300 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2300 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2300 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2300 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2300 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2300 1451 78 2300 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2300 1451 80 2300 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2300 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2300 1451 83 =================================================================2300 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2300 1451 85 =================================================================2300 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2300 1451 87 HERE - 10 EV TO 100 MEV 2300 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2300 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2300 1451 90 HERE - PHOTON INTERACTION 2300 1451 91 - AVERAGE FLUORESCENCE YIELD 2300 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2300 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2300 1451 94 HERE - NO SECONDARY ENERGY DATA 2300 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2300 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2300 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2300 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2300 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2300 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2300 1451 101 (SINCE THEY CAN BE NEGATIVE). 2300 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2300 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2300 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2300 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2300 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2300 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2300 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2300 1451 109 =================================================================2300 1451 110 REFERENCES 2300 1451 111 =================================================================2300 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2300 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2300 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2300 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2300 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2300 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2300 1451 118 2300 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2300 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2300 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2300 1451 122 OF THE DATA, ETC. 2300 1451 123 =================================================================2300 1451 124 HISTORY 2300 1451 125 =================================================================2300 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2300 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2300 1451 128 CROSS SECTIONS. 2300 1451 129 =================================================================2300 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2300 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2300 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2300 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2300 1451 134 *RECONSTRUCTED MT NUMBERS 2300 1451 135 516 =+(515,515)+(517,517) 2300 1451 136 522 =+(534,572) 2300 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2300 1451 138 1 451 160 12300 1451 139 23 501 472 12300 1451 140 23 502 99 12300 1451 141 23 504 31 12300 1451 142 23 515 29 12300 1451 143 23 516 58 12300 1451 144 23 517 41 12300 1451 145 23 522 335 22300 1451 146 23 534 47 22300 1451 147 23 535 55 22300 1451 148 23 536 65 22300 1451 149 23 537 66 22300 1451 150 23 538 60 22300 1451 151 23 539 72 22300 1451 152 23 540 72 22300 1451 153 23 541 88 22300 1451 154 23 542 89 22300 1451 155 23 543 72 22300 1451 156 27 502 50 12300 1451 157 27 504 40 12300 1451 158 27 505 81 12300 1451 159 27 506 81 12300 1451 160 2300 1 0 161 2300 0 0 162 2.300000+4 5.050380+1 0 0 0 0230023501 163 0.000000+0 0.000000+0 0 0 1 1405230023501 164 1405 2 0 0 0 0230023501 165 1.000000+1 2.466430+6 1.012750+1 2.511190+6 1.024040+1 2.550860+6230023501 166 1.044100+1 2.621450+6 1.059410+1 2.675410+6 1.071030+1 2.716440+6230023501 167 1.088710+1 2.779000+6 1.103930+1 2.833010+6 1.106680+1 2.842770+6230023501 168 1.126580+1 2.913570+6 1.141730+1 2.967670+6 1.154780+1 3.014490+6230023501 169 1.164850+1 3.050630+6 1.188440+1 3.135870+6 1.205860+1 3.199040+6230023501 170 1.219090+1 3.247400+6 1.232470+1 3.296310+6 1.251800+1 3.367790+6230023501 171 1.259670+1 3.396890+6 1.287460+1 3.500300+6 1.292330+1 3.518680+6230023501 172 1.309750+1 3.584410+6 1.315870+1 3.607500+6 1.347010+1 3.725580+6230023501 173 1.378880+1 3.848420+6 1.408210+1 3.961340+6 1.438170+1 4.078280+6230023501 174 1.438310+1 4.078820+6 1.462310+1 4.171980+6 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3.249100+0230023542 1799 4.519070+3 2.755440+0 4.683290+3 2.360980+0 4.842670+3 2.042620+0230023542 1800 4.997010+3 1.783260+0 5.299780+3 1.382410+0 5.579710+3 1.106330+0230023542 1801 5.836760+3 9.103850-1 6.071370+3 7.676240-1 6.284370+3 6.611970-1230023542 1802 6.476870+3 5.802510-1 6.828050+3 4.617050-1 7.103870+3 3.889790-1230023542 1803 7.318020+3 3.420560-1 7.651420+3 2.820680-1 8.000000+3 2.326000-1230023542 1804 8.458970+3 1.814360-1 8.820401+3 1.505950-1 9.101571+3 1.309560-1230023542 1805 9.540210+3 1.061930-1 1.000000+4 8.611300-2 1.051990+4 6.833160-2230023542 1806 1.099690+4 5.581230-2 1.143200+4 4.675470-2 1.182690+4 4.004360-2230023542 1807 1.218350+4 3.496660-2 1.283370+4 2.758110-2 1.334400+4 2.308510-2230023542 1808 1.374000+4 2.020090-2 1.435620+4 1.653600-2 1.500000+4 1.353600-2230023542 1809 1.566410+4 1.106770-2 1.631340+4 9.164040-3 1.694650+4 7.677870-3230023542 1810 1.756240+4 6.504250-3 1.816000+4 5.567450-3 1.873880+4 4.812130-3230023542 1811 1.929810+4 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8.838560+3230023543 1876 3.677610+2 7.084140+3 4.053020+2 6.000900+3 4.359510+2 5.298630+3230023543 1877 4.863250+2 4.396270+3 5.425200+2 3.647580+3 5.856170+2 3.165850+3230023543 1878 6.261260+2 2.796830+3 7.038770+2 2.251500+3 7.684620+2 1.913490+3230023543 1879 8.207610+2 1.693720+3 9.059590+2 1.410480+3 1.000000+3 1.174600+3230023543 1880 1.106680+3 9.611010+2 1.194100+3 8.268530+2 1.338340+3 6.598080+2230023543 1881 1.500000+3 5.265100+2 1.611850+3 4.539360+2 1.795470+3 3.633930+2230023543 1882 2.000000+3 2.909100+2 2.213360+3 2.340420+2 2.388200+3 1.988130+2230023543 1883 2.528320+3 1.759170+2 2.754080+3 1.464210+2 3.000000+3 1.218700+2230023543 1884 3.223710+3 1.035580+2 3.402370+3 9.165310+1 3.689100+3 7.631220+1230023543 1885 4.000000+3 6.353900+1 4.207960+3 5.632800+1 4.598240+3 4.562180+1230023543 1886 4.914520+3 3.895000+1 5.165930+3 3.459470+1 5.567370+3 2.895760+1230023543 1887 6.000000+3 2.423900+1 6.395620+3 2.064050+1 6.763120+3 1.793290+1230023543 1888 7.101971+3 1.585670+1 7.736310+3 1.278500+1 8.248981+3 1.087840+1230023543 1889 8.655661+3 9.637480+0 9.303581+3 8.036390+0 1.000000+4 6.701300+0230023543 1890 1.051990+4 5.858260+0 1.149560+4 4.630060+0 1.228630+4 3.881050+0230023543 1891 1.291480+4 3.399940+0 1.391840+4 2.787760+0 1.500000+4 2.285800+0230023543 1892 1.611850+4 1.875550+0 1.701190+4 1.616950+0 1.844550+4 1.294340+0230023543 1893 2.000000+4 1.036100+0 2.103980+4 8.972860-1 2.199390+4 7.911680-1230023543 1894 2.376880+4 6.347620-1 2.519330+4 5.381050-1 2.631750+4 4.754000-1230023543 1895 2.809850+4 3.947730-1 3.000000+4 3.278200-1 3.197810+4 2.717030-1230023543 1896 3.381560+4 2.305400-1 3.550980+4 1.996710-1 3.706180+4 1.760720-1230023543 1897 3.994270+4 1.412840-1 4.224940+4 1.197830-1 4.406640+4 1.058340-1230023543 1898 4.693950+4 8.789500-2 5.000000+4 7.299700-2 5.221370+4 6.399440-2230023543 1899 5.437800+4 5.656560-2 5.868070+4 4.488190-2 6.272390+4 3.665640-2230023543 1900 6.648960+4 3.070570-2 6.996970+4 2.629690-2 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8.000000+5 2.452500-5 8.458970+5 2.179610-5 9.197270+5 1.826150-5230023543 1914 1.000000+6 1.530000-5 1.022000+6 1.464910-5 1.130270+6 1.199690-5230023543 1915 1.250000+6 9.887640-6 1.369310+6 8.371350-6 1.500000+6 7.087590-6230023543 1916 1.611850+6 6.284430-6 1.795470+6 5.247070-6 2.000000+6 4.380950-6230023543 1917 2.044000+6 4.233000-6 2.249780+6 3.668300-6 2.597950+6 2.959300-6230023543 1918 3.000000+6 2.387330-6 3.464100+6 1.962000-6 4.000000+6 1.612450-6230023543 1919 4.472140+6 1.396060-6 5.000000+6 1.208710-6 5.477230+6 1.079790-6230023543 1920 6.000000+6 9.646280-7 7.000000+6 8.005410-7 8.000000+6 6.837660-7230023543 1921 9.000000+6 5.963310-7 1.000000+7 5.285390-7 1.100000+7 4.743730-7230023543 1922 1.200000+7 4.303210-7 1.300000+7 3.936250-7 1.400000+7 3.626970-7230023543 1923 1.500000+7 3.361990-7 1.600000+7 3.132950-7 1.800000+7 2.757630-7230023543 1924 2.000000+7 2.461720-7 2.200000+7 2.223490-7 2.400000+7 2.027060-7230023543 1925 2.600000+7 1.862380-7 2.800000+7 1.721950-7 3.000000+7 1.601580-7230023543 1926 3.464100+7 1.378780-7 4.000000+7 1.186980-7 4.472140+7 1.057450-7230023543 1927 5.000000+7 9.420590-8 6.000000+7 7.812320-8 6.928200+7 6.744640-8230023543 1928 8.000000+7 5.822880-8 8.944271+7 5.198410-8 1.000000+8 4.640910-8230023543 1929 230023 0 1930 2300 0 0 1931 2.300000+4 5.050380+1 0 0 0 0230027502 1932 0.000000+0 2.300000+1 0 0 2 139230027502 1933 2 2 139 5 0 0230027502 1934 0.000000+0 2.300000+1 1.000000-3 2.300000+1 5.000000-3 2.298500+1230027502 1935 1.000000-2 2.295900+1 1.500000-2 2.292200+1 2.000000-2 2.286200+1230027502 1936 2.375000-2 2.280640+1 2.500000-2 2.278600+1 2.875000-2 2.271920+1230027502 1937 3.000000-2 2.269500+1 3.500000-2 2.258800+1 4.000000-2 2.247300+1230027502 1938 4.500000-2 2.234470+1 5.000000-2 2.220800+1 5.500000-2 2.205630+1230027502 1939 5.875000-2 2.193680+1 6.000000-2 2.189710+1 6.437500-2 2.174990+1230027502 1940 7.000000-2 2.155700+1 7.687500-2 2.131120+1 8.437500-2 2.104000+1230027502 1941 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3.726020-1230027502 1966 8.558000+0 3.502300-1 8.822400+0 3.220760-1 9.116800+0 2.924260-1230027502 1967 1.000000+1 2.195000-1 1.062500+1 1.824930-1 1.117200+1 1.572420-1230027502 1968 1.356400+1 8.920180-2 1.452100+1 7.263890-2 1.500000+1 6.569200-2230027502 1969 1.562500+1 5.770230-2 1.671900+1 4.622880-2 1.753900+1 3.934540-2230027502 1970 1.877000+1 3.116160-2 2.000000+1 2.496200-2 2.275400+1 1.579940-2230027502 1971 2.528100+1 1.081940-2 2.837100+1 7.113900-3 3.233600+1 4.399380-3230027502 1972 3.864500+1 2.270330-3 5.000000+1 8.656500-4 8.000000+1 1.486300-4230027502 1973 9.500000+1 7.837240-5 1.000000+2 6.480600-5 1.205000+2 3.265830-5230027502 1974 1.418200+2 1.806940-5 1.711700+2 9.192410-6 2.014900+2 5.148580-6230027502 1975 2.264400+2 3.411730-6 2.747900+2 1.735360-6 3.201200+2 1.023200-6230027502 1976 3.626100+2 6.669530-7 4.422800+2 3.391190-7 5.120000+2 2.068860-7230027502 1977 6.340000+2 1.011600-7 7.941200+2 4.795560-8 1.000000+3 2.249200-8230027502 1978 1.171400+3 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2.295700+1230027504 2018 1.000000+1 2.297400+1 1.062500+1 2.297970+1 1.117200+1 2.298440+1230027504 2019 1.356400+1 2.299530+1 1.452100+1 2.299710+1 1.500000+1 2.299800+1230027504 2020 1.562500+1 2.299830+1 1.671900+1 2.299880+1 1.753900+1 2.299910+1230027504 2021 1.877000+1 2.299960+1 2.000000+1 2.300000+1 8.872031+3 2.300000+1230027504 2022 230027 0 2023 2.300000+4 5.050380+1 0 0 0 0230027505 2024 0.000000+0 2.300000+1 0 0 1 232230027505 2025 232 2 0 0 0 0230027505 2026 1.000000+1 2.453000-1 1.103930+1 3.329230-1 1.164850+1 3.910120-1230027505 2027 1.219090+1 4.501280-1 1.251800+1 4.905860-1 1.292330+1 5.462300-1230027505 2028 1.347010+1 6.316250-1 1.438310+1 7.993730-1 1.616610+1 1.148030+0230027505 2029 1.648700+1 1.209770+0 1.794520+1 1.439050+0 2.308430+1 2.097260+0230027505 2030 2.682850+1 2.532790+0 3.000000+1 2.845180+0 3.364560+1 3.103560+0230027505 2031 3.834880+1 3.271900+0 4.403980+1 3.376940+0 4.814770+1 3.423010+0230027505 2032 4.892780+1 3.456960+0 4.922180+1 3.574290+0 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2.168590-4 9.101570+5 1.143090-4230027506 2184 9.203630+5 1.010820-4 9.895950+5 1.315530-5 1.000000+6 0.000000+0230027506 2185 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0230027506 2186 230027 0 2187 2300 0 0 2188 0 0 0 2189 2.400000+4 5.154930+1 -1 0 2 22400 1451 1 0.000000+0 0.000000+0 0 0 0 62400 1451 2 0.000000+0 0.000000+0 0 0 3 22400 1451 3 0.000000+0 0.000000+0 0 0 134 222400 1451 4 24-CR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2400 1451 6 ----JEF-2 MATERIAL 2400 REVISION 0 2400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2400 1451 8 ------ENDF-6 FORMAT 2400 1451 9 ******************************************************************2400 1451 10 * JEF-2 *2400 1451 11 * DATA TAKEN FROM EPDL *2400 1451 12 ******************************************************************2400 1451 13 =================================================================2400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2400 1451 15 ENDF/B-VI FORMAT 2400 1451 16 =================================================================2400 1451 17 CONTENTS 2400 1451 18 =================================================================2400 1451 19 MF/MT DESCRIPTION 2400 1451 20 =================================================================2400 1451 21 23/501 TOTAL CROSS SECTION 2400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 38 =================================================================2400 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2400 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2400 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2400 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2400 1451 43 =================================================================2400 1451 44 WARNING 2400 1451 45 =================================================================2400 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2400 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2400 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2400 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2400 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2400 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2400 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2400 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2400 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2400 1451 55 =================================================================2400 1451 56 DEFINITION OF NEW TYPES OF DATA 2400 1451 57 =================================================================2400 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2400 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2400 1451 60 2400 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2400 1451 62 C2 FIELDS ARE, 2400 1451 63 2400 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2400 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2400 1451 66 2400 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2400 1451 68 2400 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2400 1451 70 2400 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2400 1451 72 T = THE THOMSON CROSS SECTION 2400 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2400 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2400 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2400 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2400 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2400 1451 78 2400 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2400 1451 80 2400 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2400 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2400 1451 83 =================================================================2400 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2400 1451 85 =================================================================2400 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2400 1451 87 HERE - 10 EV TO 100 MEV 2400 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2400 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2400 1451 90 HERE - PHOTON INTERACTION 2400 1451 91 - AVERAGE FLUORESCENCE YIELD 2400 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2400 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2400 1451 94 HERE - NO SECONDARY ENERGY DATA 2400 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2400 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2400 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2400 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2400 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2400 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2400 1451 101 (SINCE THEY CAN BE NEGATIVE). 2400 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2400 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2400 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2400 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2400 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2400 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2400 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2400 1451 109 =================================================================2400 1451 110 REFERENCES 2400 1451 111 =================================================================2400 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2400 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2400 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2400 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2400 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2400 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2400 1451 118 2400 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2400 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2400 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2400 1451 122 OF THE DATA, ETC. 2400 1451 123 =================================================================2400 1451 124 HISTORY 2400 1451 125 =================================================================2400 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2400 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2400 1451 128 CROSS SECTIONS. 2400 1451 129 =================================================================2400 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2400 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2400 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2400 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2400 1451 134 *RECONSTRUCTED MT NUMBERS 2400 1451 135 516 =+(515,515)+(517,517) 2400 1451 136 522 =+(534,572) 2400 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2400 1451 138 1 451 160 12400 1451 139 23 501 452 12400 1451 140 23 502 101 12400 1451 141 23 504 30 12400 1451 142 23 515 29 12400 1451 143 23 516 58 12400 1451 144 23 517 41 12400 1451 145 23 522 315 22400 1451 146 23 534 46 22400 1451 147 23 535 54 22400 1451 148 23 536 65 22400 1451 149 23 537 65 22400 1451 150 23 538 60 22400 1451 151 23 539 73 22400 1451 152 23 540 73 22400 1451 153 23 541 86 22400 1451 154 23 542 87 22400 1451 155 23 543 71 22400 1451 156 27 502 52 12400 1451 157 27 504 42 12400 1451 158 27 505 81 12400 1451 159 27 506 81 12400 1451 160 2400 1 0 161 2400 0 0 162 2.400000+4 5.154930+1 0 0 0 0240023501 163 0.000000+0 0.000000+0 0 0 1 1345240023501 164 1345 2 0 0 0 0240023501 165 1.000000+1 7.568600+6 1.012750+1 7.599290+6 1.035460+1 7.654010+6240023501 166 1.052820+1 7.695880+6 1.066040+1 7.727800+6 1.084710+1 7.772940+6240023501 167 1.086170+1 7.776470+6 1.106680+1 7.826160+6 1.126580+1 7.874450+6240023501 168 1.141730+1 7.911290+6 1.154780+1 7.943120+6 1.164850+1 7.967680+6240023501 169 1.176590+1 7.996420+6 1.188440+1 8.025440+6 1.205860+1 8.068170+6240023501 170 1.232470+1 8.133750+6 1.259670+1 8.201210+6 1.287460+1 8.270360+6240023501 171 1.315870+1 8.341590+6 1.324080+1 8.362220+6 1.333520+1 8.385950+6240023501 172 1.347010+1 8.419840+6 1.378880+1 8.500640+6 1.438170+1 8.651270+6240023501 173 1.457620+1 8.700650+6 1.500000+1 8.808230+6 1.512470+1 8.822460+6240023501 174 1.554920+1 8.870890+6 1.604630+1 8.926270+6 1.688650+1 9.016780+6240023501 175 1.695460+1 9.024120+6 1.766950+1 9.098600+6 2.000000+1 9.334570+6240023501 176 2.047760+1 9.349920+6 2.157980+1 9.385360+6 2.366380+1 9.452350+6240023501 177 2.505770+1 9.497160+6 2.637470+1 9.539500+6 2.710810+1 9.563080+6240023501 178 2.909600+1 9.519100+6 3.000000+1 9.499110+6 3.070920+1 9.447440+6240023501 179 3.103440+1 9.423740+6 3.464100+1 9.160970+6 3.651740+1 9.024030+6240023501 180 3.722420+1 8.972440+6 3.864400+1 8.808170+6 4.000000+1 8.651290+6240023501 181 4.141780+1 8.452940+6 4.255620+1 8.293680+6 4.572960+1 7.850580+6240023501 182 4.580500+1 7.841030+6 4.624220+1 7.785610+6 4.728710+1 7.653180+6240023501 183 4.849140+1 7.485700+6 4.926510+1 7.378100+6 4.953280+1 7.340870+6240023501 184 4.973530+1 7.312710+6 4.993470+1 7.284990+6 5.017960+1 7.250930+6240023501 185 5.020000+1 7.248100+6 5.020000+1 9.411580+6 5.042580+1 9.340050+6240023501 186 5.067240+1 9.261920+6 5.101510+1 9.153340+6 5.125000+1 9.078910+6240023501 187 5.125000+1 1.016400+7 5.143750+1 1.008720+7 5.176550+1 9.952870+6240023501 188 5.212220+1 9.806760+6 5.228000+1 9.742120+6 5.326560+1 9.341510+6240023501 189 5.330790+1 9.325150+6 5.331000+1 9.324340+6 5.411150+1 9.029840+6240023501 190 5.535470+1 8.611290+6 5.545270+1 8.578300+6 5.552710+1 8.553470+6240023501 191 5.607630+1 8.384840+6 5.711610+1 8.065570+6 5.772020+1 7.887910+6240023501 192 5.882940+1 7.589960+6 5.896190+1 7.554620+6 6.000000+1 7.277810+6240023501 193 6.026700+1 7.217220+6 6.049460+1 7.167760+6 6.173980+1 6.897360+6240023501 194 6.189040+1 6.867400+6 6.235740+1 6.774520+6 6.378980+1 6.522940+6240023501 195 6.480140+1 6.357880+6 6.480740+1 6.356900+6 6.606830+1 6.151170+6240023501 196 6.682280+1 6.043220+6 6.839300+1 5.822960+6 7.000000+1 5.597540+6240023501 197 7.215580+1 5.369470+6 7.222510+1 5.362950+6 7.551470+1 5.053870+6240023501 198 7.733320+1 4.900240+6 7.829410+1 4.819060+6 7.886400+1 4.770910+6240023501 199 7.919000+1 4.743370+6 7.919000+1 5.064290+6 7.937250+1 5.049730+6240023501 200 7.974950+1 5.029090+6 8.013060+1 5.008220+6 8.077000+1 4.973200+6240023501 201 8.202430+1 4.910530+6 8.394410+1 4.814610+6 8.498540+1 4.759250+6240023501 202 9.000000+1 4.492640+6 9.061100+1 4.464520+6 1.000000+2 4.032370+6240023501 203 1.106680+2 3.592670+6 1.149560+2 3.456340+6 1.154780+2 3.438910+6240023501 204 1.224740+2 3.205280+6 1.288420+2 3.030240+6 1.305020+2 2.980320+6240023501 205 1.309750+2 2.966100+6 1.338340+2 2.880120+6 1.355400+2 2.826920+6240023501 206 1.462310+2 2.577930+6 1.500000+2 2.490150+6 1.611850+2 2.244990+6240023501 207 1.635760+2 2.200450+6 1.701190+2 2.078690+6 1.732050+2 2.029900+6240023501 208 1.764600+2 1.977410+6 1.773290+2 1.963420+6 1.844550+2 1.848650+6240023501 209 1.924170+2 1.741250+6 2.000000+2 1.638960+6 2.014950+2 1.620700+6240023501 210 2.049200+2 1.578920+6 2.157980+2 1.446250+6 2.213360+2 1.387010+6240023501 211 2.225760+2 1.374750+6 2.283960+2 1.317280+6 2.284600+2 1.316650+6240023501 212 2.328440+2 1.278770+6 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225 5.327320+2 2.678080+5 5.363160+2 2.636710+5 5.376120+2 2.622380+5240023501 226 5.396030+2 2.600360+5 5.411310+2 2.583460+5 5.459430+2 2.537390+5240023501 227 5.465620+2 2.531740+5 5.532850+2 2.470280+5 5.600910+2 2.408080+5240023501 228 5.636300+2 2.375730+5 5.671910+2 2.343190+5 5.699020+2 2.318420+5240023501 229 5.699140+2 2.318310+5 5.717740+2 2.301350+5 5.730460+2 2.289750+5240023501 230 5.741840+2 2.279390+5 5.754700+2 2.269330+5 5.763410+2 2.262530+5240023501 231 5.775490+2 2.253110+5 5.784940+2 2.245760+5 5.792840+2 2.239610+5240023501 232 5.796500+2 2.236760+5 5.804700+2 2.230570+5 5.808100+2 2.228020+5240023501 233 5.808100+2 1.204140+6 5.816590+2 1.211110+6 5.830350+2 1.222400+6240023501 234 5.844140+2 1.233720+6 5.869570+2 1.254590+6 5.893520+2 1.274250+6240023501 235 5.897400+2 1.277430+6 5.897400+2 1.725980+6 5.924300+2 1.769230+6240023501 236 5.936810+2 1.781380+6 5.978210+2 1.821580+6 6.015300+2 1.842750+6240023501 237 6.034710+2 1.843910+6 6.040040+2 1.844240+6 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1.274050+0240027502 1916 3.500000+0 1.250700+0 3.562500+0 1.228550+0 3.671900+0 1.198500+0240027502 1917 4.000000+0 1.133600+0 4.179700+0 1.094280+0 4.330100+0 1.058290+0240027502 1918 4.569300+0 9.992560-1 5.000000+0 8.994000-1 5.437500+0 8.128280-1240027502 1919 5.718800+0 7.606310-1 5.929700+0 7.216140-1 6.000000+0 7.086000-1240027502 1920 6.250000+0 6.623640-1 6.812500+0 5.715460-1 7.000000+0 5.476000-1240027502 1921 7.625000+0 4.846440-1 7.875000+0 4.601990-1 8.000000+0 4.473000-1240027502 1922 8.125000+0 4.338000-1 8.359400+0 4.075020-1 8.564500+0 3.842090-1240027502 1923 8.743900+0 3.640970-1 9.057900+0 3.303350-1 9.529000+0 2.848340-1240027502 1924 1.000000+1 2.466000-1 1.062500+1 2.064300-1 1.281300+1 1.207830-1240027502 1925 1.390600+1 9.516310-2 1.472700+1 8.009350-2 1.500000+1 7.569800-2240027502 1926 1.562500+1 6.660600-2 1.671900+1 5.352910-2 1.753900+1 4.566090-2240027502 1927 1.877000+1 3.628270-2 2.000000+1 2.915000-2 2.187500+1 2.131240-2240027502 1928 2.363300+1 1.621390-2 2.692900+1 1.015400-2 2.981300+1 7.018890-3240027502 1929 3.485900+1 3.953740-3 4.243000+1 1.906590-3 5.000000+1 1.032900-3240027502 1930 8.000000+1 1.784700-4 9.500000+1 9.430940-5 1.000000+2 7.803400-5240027502 1931 1.205000+2 3.941750-5 1.418200+2 2.185550-5 1.711700+2 1.114630-5240027502 1932 2.014900+2 6.256680-6 2.264400+2 4.152580-6 2.747900+2 2.117760-6240027502 1933 3.201200+2 1.251260-6 3.626100+2 8.169860-7 4.422800+2 4.165090-7240027502 1934 5.120000+2 2.545880-7 6.340000+2 1.248270-7 7.941200+2 5.933900-8240027502 1935 1.000000+3 2.790600-8 1.171400+3 1.669360-8 1.559400+3 6.638950-9240027502 1936 2.044100+3 2.798710-9 2.990300+3 8.41904-10 4.215000+3 2.88301-10240027502 1937 7.296800+3 5.31150-11 8.872031+3 2.93110-11 0.000000+0 0.000000+0240027502 1938 240027 0 1939 2.400000+4 5.154930+1 0 0 0 0240027504 1940 0.000000+0 2.400000+1 0 0 2 117240027504 1941 2 2 117 5 0 0240027504 1942 0.000000+0 0.000000+0 1.000000-3 5.298570-4 5.000000-3 1.200000-2240027504 1943 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9.219470+0 3.625000-1 9.630870+0240027504 1956 4.000000-1 1.041500+1 4.500000-1 1.138300+1 5.000000-1 1.226400+1240027504 1957 5.500000-1 1.305900+1 6.000000-1 1.377000+1 6.750000-1 1.468760+1240027504 1958 7.000000-1 1.496000+1 7.750000-1 1.568500+1 8.000000-1 1.590200+1240027504 1959 9.000000-1 1.667000+1 1.000000+0 1.732300+1 1.085900+0 1.782330+1240027504 1960 1.144500+0 1.813950+1 1.214800+0 1.849670+1 1.250000+0 1.866800+1240027504 1961 1.335900+0 1.906180+1 1.429700+0 1.945580+1 1.500000+0 1.973000+1240027504 1962 1.589800+0 2.005050+1 1.665000+0 2.029600+1 1.748800+0 2.054660+1240027504 1963 1.750000+0 2.054990+1 1.838500+0 2.078960+1 1.946200+0 2.104930+1240027504 1964 2.000000+0 2.116800+1 2.218800+0 2.157300+1 2.250000+0 2.162340+1240027504 1965 2.315400+0 2.172330+1 2.381300+0 2.181720+1 2.460400+0 2.192010+1240027504 1966 2.500000+0 2.197000+1 2.562500+0 2.204180+1 2.671900+0 2.215960+1240027504 1967 2.877000+0 2.235210+1 2.959000+0 2.242180+1 3.000000+0 2.245600+1240027504 1968 3.062500+0 2.250300+1 3.335900+0 2.269490+1 3.445300+0 2.276410+1240027504 1969 3.500000+0 2.279800+1 3.562500+0 2.283360+1 3.671900+0 2.289470+1240027504 1970 4.000000+0 2.306500+1 4.179700+0 2.314510+1 4.330100+0 2.320970+1240027504 1971 4.569300+0 2.330330+1 5.000000+0 2.344900+1 5.437500+0 2.356780+1240027504 1972 5.718800+0 2.363030+1 5.929700+0 2.367280+1 6.000000+0 2.368600+1240027504 1973 6.250000+0 2.372580+1 6.812500+0 2.380140+1 7.000000+0 2.382300+1240027504 1974 7.625000+0 2.387490+1 7.875000+0 2.389240+1 8.000000+0 2.390000+1240027504 1975 8.125000+0 2.390580+1 8.359400+0 2.391640+1 8.564500+0 2.392550+1240027504 1976 8.743900+0 2.393320+1 9.057900+0 2.394360+1 9.529000+0 2.395560+1240027504 1977 1.000000+1 2.396700+1 1.062500+1 2.397550+1 1.281300+1 2.399060+1240027504 1978 1.390600+1 2.399520+1 1.472700+1 2.399670+1 1.500000+1 2.399700+1240027504 1979 1.562500+1 2.399740+1 1.671900+1 2.399810+1 1.753900+1 2.399860+1240027504 1980 1.877000+1 2.399930+1 2.000000+1 2.400000+1 8.872031+3 2.400000+1240027504 1981 240027 0 1982 2.400000+4 5.154930+1 0 0 0 0240027505 1983 0.000000+0 2.400000+1 0 0 1 233240027505 1984 233 2 0 0 0 0240027505 1985 1.000000+1 7.452830-1 1.176590+1 9.509280-1 1.324080+1 1.153740+0240027505 1986 1.604630+1 1.607390+0 1.766950+1 1.826520+0 2.157980+1 2.277900+0240027505 1987 2.909600+1 3.076410+0 3.070920+1 3.214260+0 3.864400+1 3.755830+0240027505 1988 4.580500+1 3.874700+0 4.849140+1 3.913470+0 4.926510+1 3.960190+0240027505 1989 4.953280+1 4.086480+0 4.973530+1 4.312740+0 4.993470+1 4.680570+0240027505 1990 5.042580+1 5.923720+0 5.067240+1 6.431750+0 5.101510+1 7.001350+0240027505 1991 5.143750+1 7.514610+0 5.176550+1 7.749170+0 5.212220+1 7.796250+0240027505 1992 5.330790+1 7.508180+0 5.535470+1 6.991070+0 5.896190+1 6.222310+0240027505 1993 6.189040+1 5.749940+0 6.480740+1 5.459460+0 6.839300+1 5.219160+0240027505 1994 7.215580+1 5.075290+0 7.733320+1 5.066860+0 7.829410+1 5.145460+0240027505 1995 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1.694000+1 6.505790+2 1.644580+1240027505 2008 6.656250+2 1.584750+1 6.748130+2 1.552850+1 6.805050+2 1.559450+1240027505 2009 6.845100+2 1.595290+1 6.874640+2 1.634670+1 6.904170+2 1.674060+1240027505 2010 6.963530+2 1.713010+1 7.022530+2 1.708200+1 7.081820+2 1.689150+1240027505 2011 7.213570+2 1.647950+1 7.382050+2 1.600210+1 7.501920+2 1.567890+1240027505 2012 8.012150+2 1.448300+1 8.341230+2 1.378180+1 8.872880+2 1.278190+1240027505 2013 9.165420+2 1.225130+1 9.686490+2 1.138600+1 1.036580+3 1.038600+1240027505 2014 1.092720+3 9.660840+0 1.136280+3 9.165420+0 1.211790+3 8.387620+0240027505 2015 1.272680+3 7.825870+0 1.344840+3 7.220920+0 1.402760+3 6.783380+0240027505 2016 1.467600+3 6.343240+0 1.531860+3 5.954900+0 1.655920+3 5.315600+0240027505 2017 1.691600+3 5.144840+0 1.756620+3 4.850530+0 1.888350+3 4.341780+0240027505 2018 2.063340+3 3.791330+0 2.213360+3 3.393310+0 2.318130+3 3.155340+0240027505 2019 2.465130+3 2.863840+0 2.559610+3 2.697960+0 2.797420+3 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1451 1 0.000000+0 0.000000+0 0 0 0 62500 1451 2 0.000000+0 0.000000+0 0 0 3 22500 1451 3 0.000000+0 0.000000+0 0 0 134 222500 1451 4 25-MN LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2500 1451 6 ----JEF-2 MATERIAL 2500 REVISION 0 2500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2500 1451 8 ------ENDF-6 FORMAT 2500 1451 9 ******************************************************************2500 1451 10 * JEF-2 *2500 1451 11 * DATA TAKEN FROM EPDL *2500 1451 12 ******************************************************************2500 1451 13 =================================================================2500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2500 1451 15 ENDF/B-VI FORMAT 2500 1451 16 =================================================================2500 1451 17 CONTENTS 2500 1451 18 =================================================================2500 1451 19 MF/MT DESCRIPTION 2500 1451 20 =================================================================2500 1451 21 23/501 TOTAL CROSS SECTION 2500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 38 =================================================================2500 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2500 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2500 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2500 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2500 1451 43 =================================================================2500 1451 44 WARNING 2500 1451 45 =================================================================2500 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2500 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2500 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2500 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2500 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2500 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2500 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2500 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2500 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2500 1451 55 =================================================================2500 1451 56 DEFINITION OF NEW TYPES OF DATA 2500 1451 57 =================================================================2500 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2500 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2500 1451 60 2500 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2500 1451 62 C2 FIELDS ARE, 2500 1451 63 2500 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2500 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2500 1451 66 2500 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2500 1451 68 2500 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2500 1451 70 2500 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2500 1451 72 T = THE THOMSON CROSS SECTION 2500 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2500 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2500 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2500 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2500 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2500 1451 78 2500 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2500 1451 80 2500 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2500 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2500 1451 83 =================================================================2500 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2500 1451 85 =================================================================2500 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2500 1451 87 HERE - 10 EV TO 100 MEV 2500 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2500 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2500 1451 90 HERE - PHOTON INTERACTION 2500 1451 91 - AVERAGE FLUORESCENCE YIELD 2500 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2500 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2500 1451 94 HERE - NO SECONDARY ENERGY DATA 2500 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2500 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2500 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2500 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2500 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2500 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2500 1451 101 (SINCE THEY CAN BE NEGATIVE). 2500 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2500 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2500 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2500 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2500 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2500 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2500 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2500 1451 109 =================================================================2500 1451 110 REFERENCES 2500 1451 111 =================================================================2500 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2500 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2500 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2500 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2500 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2500 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2500 1451 118 2500 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2500 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2500 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2500 1451 122 OF THE DATA, ETC. 2500 1451 123 =================================================================2500 1451 124 HISTORY 2500 1451 125 =================================================================2500 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2500 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2500 1451 128 CROSS SECTIONS. 2500 1451 129 =================================================================2500 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2500 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2500 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2500 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2500 1451 134 *RECONSTRUCTED MT NUMBERS 2500 1451 135 516 =+(515,515)+(517,517) 2500 1451 136 522 =+(534,572) 2500 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2500 1451 138 1 451 160 12500 1451 139 23 501 463 12500 1451 140 23 502 110 12500 1451 141 23 504 29 12500 1451 142 23 515 29 12500 1451 143 23 516 58 12500 1451 144 23 517 41 12500 1451 145 23 522 319 22500 1451 146 23 534 46 22500 1451 147 23 535 53 22500 1451 148 23 536 64 22500 1451 149 23 537 64 22500 1451 150 23 538 60 22500 1451 151 23 539 71 22500 1451 152 23 540 70 22500 1451 153 23 541 87 22500 1451 154 23 542 87 22500 1451 155 23 543 79 22500 1451 156 27 502 50 12500 1451 157 27 504 41 12500 1451 158 27 505 90 12500 1451 159 27 506 90 12500 1451 160 2500 1 0 161 2500 0 0 162 2.500000+4 5.446610+1 0 0 0 0250023501 163 0.000000+0 0.000000+0 0 0 1 1380250023501 164 1380 2 0 0 0 0250023501 165 1.000000+1 7.428970+4 1.004170+1 6.710160+4 1.006150+1 6.368850+4250023501 166 1.011950+1 5.512810+4 1.022710+1 4.230660+4 1.022920+1 4.205640+4250023501 167 1.031480+1 3.423050+4 1.032620+1 3.318830+4 1.039170+1 2.842990+4250023501 168 1.041170+1 2.697690+4 1.048720+1 2.250350+4 1.055370+1 1.920230+4250023501 169 1.061070+1 1.677720+4 1.061220+1 1.671340+4 1.069900+1 1.368160+4250023501 170 1.071540+1 1.310880+4 1.079340+1 1.092540+4 1.079370+1 1.091880+4250023501 171 1.087150+1 9.199161+3 1.091160+1 8.312830+3 1.097110+1 7.322260+3250023501 172 1.103100+1 6.325030+3 1.108930+1 5.595491+3 1.111250+1 5.305170+3250023501 173 1.118430+1 4.548650+3 1.118630+1 4.531700+3 1.131100+1 3.475010+3250023501 174 1.131640+1 3.439310+3 1.139640+1 2.910410+3 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6.183980-7 1.300000+7 5.655940-7250023543 1901 1.400000+7 5.209900-7 1.500000+7 4.828620-7 1.600000+7 4.499830-7250023543 1902 1.800000+7 3.958670-7 2.000000+7 3.533940-7 2.200000+7 3.191200-7250023543 1903 2.400000+7 2.908330-7 2.600000+7 2.672180-7 2.800000+7 2.470480-7250023543 1904 3.000000+7 2.297470-7 3.464100+7 1.977080-7 4.000000+7 1.701370-7250023543 1905 4.472140+7 1.516240-7 5.000000+7 1.351260-7 6.000000+7 1.120040-7250023543 1906 6.928200+7 9.669000-8 8.000000+7 8.346980-8 8.944271+7 7.450630-8250023543 1907 1.000000+8 6.650530-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0250023543 1908 250023 0 1909 2500 0 0 1910 2.500000+4 5.446610+1 0 0 0 0250027502 1911 0.000000+0 2.500000+1 0 0 2 141250027502 1912 2 2 141 5 0 0250027502 1913 0.000000+0 2.500000+1 1.000000-3 2.500000+1 5.000000-3 2.498400+1250027502 1914 1.000000-2 2.496100+1 1.375000-2 2.493920+1 1.500000-2 2.492900+1250027502 1915 1.875000-2 2.489010+1 2.000000-2 2.487500+1 2.500000-2 2.480600+1250027502 1916 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6.328660+4 1.275180-1 6.919140+4 1.111200-1 7.370090+4 1.001720-1250027506 2172 7.747740+4 9.216680-2 8.555560+4 7.871750-2 9.089000+4 7.105800-2250027506 2173 9.774879+4 6.287690-2 1.051990+5 5.551630-2 1.127060+5 4.930060-2250027506 2174 1.219770+5 4.300670-2 1.316700+5 3.761600-2 1.471080+5 3.087110-2250027506 2175 1.604630+5 2.645230-2 1.714900+5 2.340980-2 1.822530+5 2.089040-2250027506 2176 1.936420+5 1.862870-2 2.117170+5 1.576220-2 2.379280+5 1.260880-2250027506 2177 2.580890+5 1.075950-2 2.752930+5 9.374930-3 2.924930+5 8.210400-3250027506 2178 3.109840+5 7.163880-3 3.311840+5 6.226050-3 3.542840+5 5.342870-3250027506 2179 3.899570+5 4.277010-3 4.134460+5 3.721400-3 4.424880+5 3.151080-3250027506 2180 4.589650+5 2.873550-3 5.052570+5 2.241780-3 5.504060+5 1.766220-3250027506 2181 5.841390+5 1.480430-3 6.501670+5 1.047230-3 7.160030+5 7.289370-4250027506 2182 7.798130+5 4.942440-4 8.486840+5 2.984450-4 9.101570+5 1.589580-4250027506 2183 9.809050+5 3.369080-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0250027506 2184 250027 0 2185 2500 0 0 2186 0 0 0 2187 2.600000+4 5.536730+1 -1 0 2 22600 1451 1 0.000000+0 0.000000+0 0 0 0 62600 1451 2 0.000000+0 0.000000+0 0 0 3 22600 1451 3 0.000000+0 0.000000+0 0 0 134 222600 1451 4 26-FE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2600 1451 6 ----JEF-2 MATERIAL 2600 REVISION 0 2600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2600 1451 8 ------ENDF-6 FORMAT 2600 1451 9 ******************************************************************2600 1451 10 * JEF-2 *2600 1451 11 * DATA TAKEN FROM EPDL *2600 1451 12 ******************************************************************2600 1451 13 =================================================================2600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2600 1451 15 ENDF/B-VI FORMAT 2600 1451 16 =================================================================2600 1451 17 CONTENTS 2600 1451 18 =================================================================2600 1451 19 MF/MT DESCRIPTION 2600 1451 20 =================================================================2600 1451 21 23/501 TOTAL CROSS SECTION 2600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 38 =================================================================2600 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2600 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2600 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2600 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2600 1451 43 =================================================================2600 1451 44 WARNING 2600 1451 45 =================================================================2600 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2600 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2600 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2600 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2600 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2600 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2600 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2600 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2600 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2600 1451 55 =================================================================2600 1451 56 DEFINITION OF NEW TYPES OF DATA 2600 1451 57 =================================================================2600 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2600 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2600 1451 60 2600 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2600 1451 62 C2 FIELDS ARE, 2600 1451 63 2600 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2600 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2600 1451 66 2600 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2600 1451 68 2600 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2600 1451 70 2600 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2600 1451 72 T = THE THOMSON CROSS SECTION 2600 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2600 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2600 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2600 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2600 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2600 1451 78 2600 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2600 1451 80 2600 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2600 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2600 1451 83 =================================================================2600 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2600 1451 85 =================================================================2600 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2600 1451 87 HERE - 10 EV TO 100 MEV 2600 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2600 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2600 1451 90 HERE - PHOTON INTERACTION 2600 1451 91 - AVERAGE FLUORESCENCE YIELD 2600 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2600 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2600 1451 94 HERE - NO SECONDARY ENERGY DATA 2600 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2600 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2600 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2600 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2600 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2600 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2600 1451 101 (SINCE THEY CAN BE NEGATIVE). 2600 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2600 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2600 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2600 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2600 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2600 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2600 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2600 1451 109 =================================================================2600 1451 110 REFERENCES 2600 1451 111 =================================================================2600 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2600 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2600 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2600 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2600 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2600 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2600 1451 118 2600 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2600 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2600 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2600 1451 122 OF THE DATA, ETC. 2600 1451 123 =================================================================2600 1451 124 HISTORY 2600 1451 125 =================================================================2600 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2600 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2600 1451 128 CROSS SECTIONS. 2600 1451 129 =================================================================2600 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2600 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2600 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2600 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2600 1451 134 *RECONSTRUCTED MT NUMBERS 2600 1451 135 516 =+(515,515)+(517,517) 2600 1451 136 522 =+(534,572) 2600 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2600 1451 138 1 451 160 12600 1451 139 23 501 438 12600 1451 140 23 502 114 12600 1451 141 23 504 30 12600 1451 142 23 515 29 12600 1451 143 23 516 58 12600 1451 144 23 517 41 12600 1451 145 23 522 289 22600 1451 146 23 534 46 22600 1451 147 23 535 52 22600 1451 148 23 536 64 22600 1451 149 23 537 64 22600 1451 150 23 538 58 22600 1451 151 23 539 69 22600 1451 152 23 540 70 22600 1451 153 23 541 86 22600 1451 154 23 542 86 22600 1451 155 23 543 79 22600 1451 156 27 502 51 12600 1451 157 27 504 44 12600 1451 158 27 505 95 12600 1451 159 27 506 95 12600 1451 160 2600 1 0 161 2600 0 0 162 2.600000+4 5.536730+1 0 0 0 0260023501 163 0.000000+0 0.000000+0 0 0 1 1303260023501 164 1303 2 0 0 0 0260023501 165 1.000000+1 1.711660+5 1.003530+1 1.542540+5 1.005400+1 1.452950+5260023501 166 1.008030+1 1.345490+5 1.010150+1 1.258870+5 1.014830+1 1.102670+5260023501 167 1.018520+1 9.795100+4 1.021670+1 8.957629+4 1.024840+1 8.114829+4260023501 168 1.029600+1 7.046640+4 1.036790+1 5.702120+4 1.039530+1 5.290370+4260023501 169 1.044030+1 4.614140+4 1.046120+1 4.369410+4 1.050470+1 3.860020+4260023501 170 1.052430+1 3.677420+4 1.060200+1 2.953520+4 1.070020+1 2.259900+4260023501 171 1.075790+1 1.951080+4 1.080140+1 1.758560+4 1.084510+1 1.565150+4260023501 172 1.089330+1 1.395190+4 1.093290+1 1.255550+4 1.098500+1 1.121340+4260023501 173 1.103630+1 9.891821+3 1.105330+1 9.550100+3 1.114070+1 7.793260+3260023501 174 1.115080+1 7.653840+3 1.122910+1 6.572960+3 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9.348090+2 1.601040+1260027505 1996 9.619640+2 1.544480+1 1.012270+3 1.444320+1 1.025670+3 1.419170+1260027505 1997 1.088610+3 1.312680+1 1.114310+3 1.272000+1 1.188440+3 1.170470+1260027505 1998 1.231460+3 1.114690+1 1.305420+3 1.026630+1 1.408160+3 9.261280+0260027505 1999 1.500000+3 8.499600+0 1.554920+3 8.061500+0 1.650890+3 7.385180+0260027505 2000 1.694760+3 7.095990+0 1.766950+3 6.668010+0 1.844550+3 6.241750+0260027505 2001 1.894980+3 5.994700+0 1.973050+3 5.634080+0 2.064790+3 5.260140+0260027505 2002 2.259100+3 4.584170+0 2.489290+3 3.934160+0 2.530970+3 3.829600+0260027505 2003 2.631750+3 3.600200+0 2.818220+3 3.231430+0 2.893410+3 3.103970+0260027505 2004 3.109840+3 2.768640+0 3.319910+3 2.493470+0 3.510630+3 2.274920+0260027505 2005 3.784610+3 2.009790+0 4.008360+3 1.831730+0 4.479940+3 1.523200+0260027505 2006 4.730750+3 1.389390+0 5.149050+3 1.204080+0 5.565340+3 1.054370+0260027505 2007 5.893700+3 9.555130-1 6.120290+3 8.968210-1 6.472750+3 8.138110-1260027505 2008 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3.172550+0 1.060260+4 3.125070+0260027505 2021 1.101400+4 2.933480+0 1.115660+4 2.867090+0 1.125590+4 2.820990+0260027505 2022 1.130580+4 2.801060+0 1.191200+4 2.566520+0 1.200480+4 2.530880+0260027505 2023 1.223530+4 2.450830+0 1.285200+4 2.255610+0 1.308640+4 2.186360+0260027505 2024 1.340720+4 2.098690+0 1.382290+4 1.991270+0 1.444910+4 1.849600+0260027505 2025 1.525960+4 1.681650+0 1.688750+4 1.396120+0 1.844550+4 1.188790+0260027505 2026 1.946580+4 1.075060+0 2.094050+4 9.404880-1 2.263400+4 8.176510-1260027505 2027 2.547240+4 6.532270-1 2.803000+4 5.443060-1 2.956390+4 4.905300-1260027505 2028 3.207740+4 4.192700-1 3.465240+4 3.610630-1 3.885800+4 2.892120-1260027505 2029 4.224940+4 2.451390-1 4.519070+4 2.136050-1 4.922200+4 1.800100-1260027505 2030 5.221370+4 1.598170-1 5.700820+4 1.333410-1 6.336480+4 1.076510-1260027505 2031 6.930470+4 8.979490-2 7.370090+4 7.932550-2 7.752060+4 7.147450-2260027505 2032 8.505129+4 5.916270-2 9.185070+4 5.046740-2 9.774879+4 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7.136600+3-7.212610+0 7.155580+3-6.796210+0260027506 2110 7.192070+3-6.055190+0 7.209460+3-5.703050+0 7.276870+3-4.788340+0260027506 2111 7.335850+3-4.239910+0 7.442540+3-3.556130+0 7.593880+3-2.878220+0260027506 2112 7.760911+3-2.366650+0 8.000000+3-1.820540+0 8.115520+3-1.604940+0260027506 2113 8.248981+3-1.404920+0 8.566270+3-9.956480-1 8.730510+3-8.154310-1260027506 2114 8.928460+3-6.465470-1 9.335960+3-3.372950-1 9.556560+3-1.937490-1260027506 2115 9.666861+3-1.336240-1 1.000000+4-1.084510-5 1.016800+4 6.778870-2260027506 2116 1.036340+4 1.407960-1 1.050990+4 1.836470-1 1.060260+4 1.982230-1260027506 2117 1.101400+4 2.993970-1 1.115660+4 3.289050-1 1.125590+4 3.419990-1260027506 2118 1.130580+4 3.453350-1 1.191200+4 4.432280-1 1.200480+4 4.541040-1260027506 2119 1.223530+4 4.669980-1 1.285200+4 5.316780-1 1.308640+4 5.422730-1260027506 2120 1.340720+4 5.543070-1 1.382290+4 5.785700-1 1.444910+4 5.906070-1260027506 2121 1.525960+4 6.233440-1 1.688750+4 6.194590-1 1.844550+4 6.022480-1260027506 2122 1.946580+4 5.836820-1 2.094050+4 5.565320-1 2.263400+4 5.232750-1260027506 2123 2.547240+4 4.718170-1 2.803000+4 4.287590-1 2.956390+4 4.035630-1260027506 2124 3.207740+4 3.671310-1 3.465240+4 3.348430-1 3.885800+4 2.885280-1260027506 2125 4.224940+4 2.591880-1 4.519070+4 2.368280-1 4.922200+4 2.100000-1260027506 2126 5.221370+4 1.924870-1 5.700820+4 1.697900-1 6.336480+4 1.443870-1260027506 2127 6.930470+4 1.260610-1 7.370090+4 1.143240-1 7.752060+4 1.053100-1260027506 2128 8.505129+4 9.092540-2 9.185070+4 8.011520-2 9.774879+4 7.214580-2260027506 2129 1.051990+5 6.376370-2 1.127060+5 5.666480-2 1.218350+5 4.956750-2260027506 2130 1.316510+5 4.332860-2 1.471080+5 3.559010-2 1.604630+5 3.052820-2260027506 2131 1.714900+5 2.703080-2 1.822530+5 2.414280-2 1.935160+5 2.157250-2260027506 2132 2.112330+5 1.831360-2 2.213360+5 1.675050-2 2.376880+5 1.461440-2260027506 2133 2.580890+5 1.246430-2 2.731000+5 1.112860-2 2.924930+5 9.675800-3260027506 2134 3.109840+5 8.459740-3 3.311840+5 7.350460-3 3.542840+5 6.300970-3260027506 2135 3.841410+5 5.228020-3 4.129180+5 4.402640-3 4.415680+5 3.733270-3260027506 2136 4.869200+5 2.911190-3 5.115260+5 2.560520-3 5.502370+5 2.081770-3260027506 2137 6.000000+5 1.607890-3 6.623670+5 1.156830-3 7.085680+5 8.966920-4260027506 2138 7.682820+5 6.277960-4 8.239580+5 4.285060-4 9.101570+5 1.908740-4260027506 2139 9.197270+5 1.650720-4 9.809060+5 3.908290-5 1.000000+6 0.000000+0260027506 2140 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0260027506 2141 260027 0 2142 2600 0 0 2143 0 0 0 2144 2.700000+4 5.842700+1 -1 0 2 22700 1451 1 0.000000+0 0.000000+0 0 0 0 62700 1451 2 0.000000+0 0.000000+0 0 0 3 22700 1451 3 0.000000+0 0.000000+0 0 0 134 222700 1451 4 27-CO LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2700 1451 6 ----JEF-2 MATERIAL 2700 REVISION 0 2700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2700 1451 8 ------ENDF-6 FORMAT 2700 1451 9 ******************************************************************2700 1451 10 * JEF-2 *2700 1451 11 * DATA TAKEN FROM EPDL *2700 1451 12 ******************************************************************2700 1451 13 =================================================================2700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2700 1451 15 ENDF/B-VI FORMAT 2700 1451 16 =================================================================2700 1451 17 CONTENTS 2700 1451 18 =================================================================2700 1451 19 MF/MT DESCRIPTION 2700 1451 20 =================================================================2700 1451 21 23/501 TOTAL CROSS SECTION 2700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 38 =================================================================2700 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2700 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2700 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2700 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2700 1451 43 =================================================================2700 1451 44 WARNING 2700 1451 45 =================================================================2700 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2700 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2700 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2700 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2700 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2700 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2700 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2700 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2700 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2700 1451 55 =================================================================2700 1451 56 DEFINITION OF NEW TYPES OF DATA 2700 1451 57 =================================================================2700 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2700 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2700 1451 60 2700 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2700 1451 62 C2 FIELDS ARE, 2700 1451 63 2700 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2700 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2700 1451 66 2700 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2700 1451 68 2700 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2700 1451 70 2700 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2700 1451 72 T = THE THOMSON CROSS SECTION 2700 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2700 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2700 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2700 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2700 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2700 1451 78 2700 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2700 1451 80 2700 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2700 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2700 1451 83 =================================================================2700 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2700 1451 85 =================================================================2700 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2700 1451 87 HERE - 10 EV TO 100 MEV 2700 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2700 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2700 1451 90 HERE - PHOTON INTERACTION 2700 1451 91 - AVERAGE FLUORESCENCE YIELD 2700 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2700 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2700 1451 94 HERE - NO SECONDARY ENERGY DATA 2700 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2700 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2700 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2700 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2700 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2700 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2700 1451 101 (SINCE THEY CAN BE NEGATIVE). 2700 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2700 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2700 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2700 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2700 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2700 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2700 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2700 1451 109 =================================================================2700 1451 110 REFERENCES 2700 1451 111 =================================================================2700 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2700 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2700 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2700 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2700 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2700 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2700 1451 118 2700 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2700 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2700 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2700 1451 122 OF THE DATA, ETC. 2700 1451 123 =================================================================2700 1451 124 HISTORY 2700 1451 125 =================================================================2700 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2700 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2700 1451 128 CROSS SECTIONS. 2700 1451 129 =================================================================2700 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2700 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2700 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2700 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2700 1451 134 *RECONSTRUCTED MT NUMBERS 2700 1451 135 516 =+(515,515)+(517,517) 2700 1451 136 522 =+(534,572) 2700 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2700 1451 138 1 451 160 12700 1451 139 23 501 472 12700 1451 140 23 502 118 12700 1451 141 23 504 30 12700 1451 142 23 515 29 12700 1451 143 23 516 58 12700 1451 144 23 517 41 12700 1451 145 23 522 320 22700 1451 146 23 534 45 22700 1451 147 23 535 52 22700 1451 148 23 536 63 22700 1451 149 23 537 63 22700 1451 150 23 538 57 22700 1451 151 23 539 68 22700 1451 152 23 540 69 22700 1451 153 23 541 85 22700 1451 154 23 542 85 22700 1451 155 23 543 79 22700 1451 156 27 502 51 12700 1451 157 27 504 43 12700 1451 158 27 505 96 12700 1451 159 27 506 96 12700 1451 160 2700 1 0 161 2700 0 0 162 2.700000+4 5.842700+1 0 0 0 0270023501 163 0.000000+0 0.000000+0 0 0 1 1407270023501 164 1407 2 0 0 0 0270023501 165 1.000000+1 3.187910+5 1.002670+1 2.963120+5 1.007080+1 2.591830+5270023501 166 1.007870+1 2.537470+5 1.011790+1 2.267720+5 1.013320+1 2.162440+5270023501 167 1.017690+1 1.909700+5 1.018800+1 1.845500+5 1.023630+1 1.622460+5270023501 168 1.028480+1 1.398500+5 1.028560+1 1.395630+5 1.033510+1 1.218020+5270023501 169 1.035800+1 1.135850+5 1.037410+1 1.088000+5 1.041320+1 9.717810+4270023501 170 1.043650+1 9.151340+4 1.047160+1 8.297990+4 1.049660+1 7.690190+4270023501 171 1.050680+1 7.495350+4 1.054360+1 6.792400+4 1.058060+1 6.085630+4270023501 172 1.066610+1 4.869080+4 1.073070+1 4.119110+4 1.077940+1 3.663490+4270023501 173 1.082840+1 3.205070+4 1.087750+1 2.850550+4 1.092690+1 2.493860+4270023501 174 1.097990+1 2.210890+4 1.100420+1 2.081150+4 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2.597950+6 5.930080-6270023543 1901 3.000000+6 4.775050-6 3.464100+6 3.917400-6 4.000000+6 3.213790-6270023543 1902 4.472140+6 2.779670-6 5.000000+6 2.404190-6 5.477230+6 2.145400-6270023543 1903 6.000000+6 1.914460-6 7.000000+6 1.587450-6 8.000000+6 1.354090-6270023543 1904 9.000000+6 1.180270-6 1.000000+7 1.045340-6 1.100000+7 9.373890-7270023543 1905 1.200000+7 8.500790-7 1.300000+7 7.771360-7 1.400000+7 7.157010-7270023543 1906 1.500000+7 6.633160-7 1.600000+7 6.179150-7 1.800000+7 5.435430-7270023543 1907 2.000000+7 4.851240-7 2.200000+7 4.379770-7 2.400000+7 3.991640-7270023543 1908 2.600000+7 3.666210-7 2.800000+7 3.390000-7 3.000000+7 3.151880-7270023543 1909 3.464100+7 2.712020-7 4.000000+7 2.333550-7 4.472140+7 2.079190-7270023543 1910 5.000000+7 1.852550-7 6.000000+7 1.535860-7 6.928200+7 1.325390-7270023543 1911 8.000000+7 1.143760-7 8.944271+7 1.020880-7 1.000000+8 9.111960-8270023543 1912 270023 0 1913 2700 0 0 1914 2.700000+4 5.842700+1 0 0 0 0270027502 1915 0.000000+0 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7.760110+3-6.739120+0 7.800090+3-5.979860+0270027506 2172 7.819150+3-5.612770+0 7.856080+3-5.085780+0 7.925310+3-4.440570+0270027506 2173 8.046480+3-3.686260+0 8.228220+3-2.928830+0 8.409970+3-2.397670+0270027506 2174 8.678241+3-1.819960+0 8.820401+3-1.578130+0 8.953560+3-1.393920+0270027506 2175 9.297290+3-9.867790-1 9.463420+3-8.188130-1 9.638260+3-6.781750-1270027506 2176 1.009650+4-3.575550-1 1.029890+4-2.344550-1 1.040940+4-1.777220-1270027506 2177 1.084090+4-1.029410-2 1.100770+4 5.500260-2 1.125170+4 1.416230-1270027506 2178 1.137360+4 1.765120-1 1.143460+4 1.902230-1 1.156830+4 2.064990-1270027506 2179 1.170800+4 2.364370-1 1.215010+4 3.398540-1 1.237690+4 3.844700-1270027506 2180 1.251850+4 4.044270-1 1.259670+4 4.100990-1 1.264730+4 4.112320-1270027506 2181 1.326480+4 4.814100-1 1.354120+4 4.941190-1 1.424420+4 5.538660-1270027506 2182 1.465600+4 5.640490-1 1.558740+4 6.164280-1 1.725170+4 6.274800-1270027506 2183 1.844550+4 6.178700-1 1.987350+4 6.000220-1 2.139400+4 5.763470-1270027506 2184 2.259530+4 5.558030-1 2.471910+4 5.255590-1 2.578140+4 5.048840-1270027506 2185 2.762400+4 4.745720-1 2.976450+4 4.378100-1 3.207740+4 4.026060-1270027506 2186 3.494270+4 3.645220-1 3.823460+4 3.277810-1 4.152730+4 2.958310-1270027506 2187 4.406640+4 2.732760-1 4.753020+4 2.467880-1 5.128780+4 2.219300-1270027506 2188 5.465880+4 2.026090-1 5.853100+4 1.832220-1 6.291120+4 1.644660-1270027506 2189 6.680640+4 1.501700-1 7.073860+4 1.375150-1 7.522690+4 1.247890-1270027506 2190 8.243990+4 1.085130-1 8.959879+4 9.486580-2 9.597690+4 8.465610-2270027506 2191 1.025670+5 7.577940-2 1.103740+5 6.699630-2 1.180810+5 5.968560-2270027506 2192 1.283370+5 5.178050-2 1.374000+5 4.595470-2 1.471080+5 4.072040-2270027506 2193 1.604630+5 3.494810-2 1.714900+5 3.096670-2 1.822530+5 2.767810-2270027506 2194 1.936420+5 2.471250-2 2.112330+5 2.102100-2 2.211170+5 1.926570-2270027506 2195 2.388830+5 1.664220-2 2.580890+5 1.433100-2 2.731000+5 1.279810-2270027506 2196 2.924930+5 1.114100-2 3.109840+5 9.794210-3 3.311840+5 8.509360-3270027506 2197 3.563570+5 7.206080-3 3.841410+5 6.050870-3 4.113140+5 5.141950-3270027506 2198 4.422580+5 4.306600-3 4.879040+5 3.351970-3 5.115260+5 2.963510-3270027506 2199 5.502370+5 2.409540-3 6.000000+5 1.860770-3 6.623670+5 1.338960-3270027506 2200 7.279540+5 9.285510-4 7.682820+5 7.267290-4 8.312670+5 4.682970-4270027506 2201 9.101570+5 2.233180-4 9.281240+5 1.687910-4 1.000000+6 0.000000+0270027506 2202 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0270027506 2203 270027 0 2204 2700 0 0 2205 0 0 0 2206 2.800000+4 5.820570+1 -1 0 2 22800 1451 1 0.000000+0 0.000000+0 0 0 0 62800 1451 2 0.000000+0 0.000000+0 0 0 3 22800 1451 3 0.000000+0 0.000000+0 0 0 134 222800 1451 4 28-NI LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2800 1451 6 ----JEF-2 MATERIAL 2800 REVISION 0 2800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2800 1451 8 ------ENDF-6 FORMAT 2800 1451 9 ******************************************************************2800 1451 10 * JEF-2 *2800 1451 11 * DATA TAKEN FROM EPDL *2800 1451 12 ******************************************************************2800 1451 13 =================================================================2800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2800 1451 15 ENDF/B-VI FORMAT 2800 1451 16 =================================================================2800 1451 17 CONTENTS 2800 1451 18 =================================================================2800 1451 19 MF/MT DESCRIPTION 2800 1451 20 =================================================================2800 1451 21 23/501 TOTAL CROSS SECTION 2800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 38 =================================================================2800 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2800 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2800 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2800 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2800 1451 43 =================================================================2800 1451 44 WARNING 2800 1451 45 =================================================================2800 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2800 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2800 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2800 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2800 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2800 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2800 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2800 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2800 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2800 1451 55 =================================================================2800 1451 56 DEFINITION OF NEW TYPES OF DATA 2800 1451 57 =================================================================2800 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2800 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2800 1451 60 2800 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2800 1451 62 C2 FIELDS ARE, 2800 1451 63 2800 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2800 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2800 1451 66 2800 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2800 1451 68 2800 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2800 1451 70 2800 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2800 1451 72 T = THE THOMSON CROSS SECTION 2800 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2800 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2800 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2800 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2800 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2800 1451 78 2800 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2800 1451 80 2800 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2800 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2800 1451 83 =================================================================2800 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2800 1451 85 =================================================================2800 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2800 1451 87 HERE - 10 EV TO 100 MEV 2800 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2800 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2800 1451 90 HERE - PHOTON INTERACTION 2800 1451 91 - AVERAGE FLUORESCENCE YIELD 2800 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2800 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2800 1451 94 HERE - NO SECONDARY ENERGY DATA 2800 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2800 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2800 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2800 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2800 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2800 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2800 1451 101 (SINCE THEY CAN BE NEGATIVE). 2800 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2800 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2800 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2800 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2800 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2800 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2800 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2800 1451 109 =================================================================2800 1451 110 REFERENCES 2800 1451 111 =================================================================2800 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2800 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2800 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2800 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2800 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2800 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2800 1451 118 2800 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2800 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2800 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2800 1451 122 OF THE DATA, ETC. 2800 1451 123 =================================================================2800 1451 124 HISTORY 2800 1451 125 =================================================================2800 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2800 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2800 1451 128 CROSS SECTIONS. 2800 1451 129 =================================================================2800 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2800 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2800 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2800 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2800 1451 134 *RECONSTRUCTED MT NUMBERS 2800 1451 135 516 =+(515,515)+(517,517) 2800 1451 136 522 =+(534,572) 2800 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2800 1451 138 1 451 160 12800 1451 139 23 501 471 12800 1451 140 23 502 126 12800 1451 141 23 504 31 12800 1451 142 23 515 29 12800 1451 143 23 516 58 12800 1451 144 23 517 41 12800 1451 145 23 522 310 22800 1451 146 23 534 44 22800 1451 147 23 535 52 22800 1451 148 23 536 62 22800 1451 149 23 537 63 22800 1451 150 23 538 57 22800 1451 151 23 539 68 22800 1451 152 23 540 68 22800 1451 153 23 541 85 22800 1451 154 23 542 84 22800 1451 155 23 543 80 22800 1451 156 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3.904490-1 1.421250+4 4.805400-1280027506 2184 1.433080+4 4.913180-1 1.461140+4 5.022690-1 1.554920+4 5.764480-1280027506 2185 1.609720+4 5.860660-1 1.695460+4 6.192110-1 1.894160+4 6.274790-1280027506 2186 2.016140+4 6.169760-1 2.157870+4 6.039750-1 2.344530+4 5.801970-1280027506 2187 2.510440+4 5.527650-1 2.631750+4 5.306930-1 2.853390+4 4.942080-1280027506 2188 3.097330+4 4.556180-1 3.325390+4 4.207940-1 3.519230+4 3.947960-1280027506 2189 3.812490+4 3.592070-1 4.152730+4 3.255070-1 4.406640+4 3.014970-1280027506 2190 4.718340+4 2.757470-1 5.120630+4 2.467520-1 5.465880+4 2.253120-1280027506 2191 5.853100+4 2.041390-1 6.291120+4 1.835440-1 6.716740+4 1.665400-1280027506 2192 7.149520+4 1.515250-1 7.562810+4 1.388390-1 8.243729+4 1.220570-1280027506 2193 8.959879+4 1.069030-1 9.597690+4 9.550600-2 1.025670+5 8.557390-2280027506 2194 1.099690+5 7.618060-2 1.180810+5 6.753140-2 1.281990+5 5.875080-2280027506 2195 1.378390+5 5.181730-2 1.471080+5 4.619470-2 1.607080+5 3.958150-2280027506 2196 1.695460+5 3.588520-2 1.822530+5 3.146830-2 1.940060+5 2.802240-2280027506 2197 2.112330+5 2.393180-2 2.227270+5 2.166220-2 2.379280+5 1.910100-2280027506 2198 2.580890+5 1.634560-2 2.731000+5 1.460230-2 2.924930+5 1.272170-2280027506 2199 3.118950+5 1.113500-2 3.311840+5 9.807340-3 3.542840+5 8.416340-3280027506 2200 3.899520+5 6.737120-3 4.129000+5 5.879090-3 4.423040+5 4.968170-3280027506 2201 4.598630+5 4.505940-3 5.052570+5 3.530970-3 5.477230+5 2.817810-3280027506 2202 5.841390+5 2.331690-3 6.500640+5 1.650630-3 7.159520+5 1.148340-3280027506 2203 7.798130+5 7.784570-4 8.486910+5 4.699970-4 9.101570+5 2.503990-4280027506 2204 9.808050+5 5.333350-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0280027506 2205 280027 0 2206 2800 0 0 2207 0 0 0 2208 2.900000+4 6.300010+1 -1 0 2 22900 1451 1 0.000000+0 0.000000+0 0 0 0 62900 1451 2 0.000000+0 0.000000+0 0 0 3 22900 1451 3 0.000000+0 0.000000+0 0 0 134 222900 1451 4 29-CU LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 2900 1451 6 ----JEF-2 MATERIAL 2900 REVISION 0 2900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2900 1451 8 ------ENDF-6 FORMAT 2900 1451 9 ******************************************************************2900 1451 10 * JEF-2 *2900 1451 11 * DATA TAKEN FROM EPDL *2900 1451 12 ******************************************************************2900 1451 13 =================================================================2900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2900 1451 15 ENDF/B-VI FORMAT 2900 1451 16 =================================================================2900 1451 17 CONTENTS 2900 1451 18 =================================================================2900 1451 19 MF/MT DESCRIPTION 2900 1451 20 =================================================================2900 1451 21 23/501 TOTAL CROSS SECTION 2900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 2900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 38 =================================================================2900 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 2900 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 2900 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2900 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 2900 1451 43 =================================================================2900 1451 44 WARNING 2900 1451 45 =================================================================2900 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2900 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2900 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2900 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2900 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2900 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2900 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2900 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2900 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2900 1451 55 =================================================================2900 1451 56 DEFINITION OF NEW TYPES OF DATA 2900 1451 57 =================================================================2900 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2900 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2900 1451 60 2900 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2900 1451 62 C2 FIELDS ARE, 2900 1451 63 2900 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2900 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2900 1451 66 2900 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2900 1451 68 2900 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2900 1451 70 2900 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2900 1451 72 T = THE THOMSON CROSS SECTION 2900 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 2900 1451 74 FF(M) = THE ATOMIC FORM FACTOR 2900 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2900 1451 76 F1(E) = THE REAL SCATTERING FACTOR 2900 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 2900 1451 78 2900 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 2900 1451 80 2900 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2900 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2900 1451 83 =================================================================2900 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2900 1451 85 =================================================================2900 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2900 1451 87 HERE - 10 EV TO 100 MEV 2900 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2900 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 2900 1451 90 HERE - PHOTON INTERACTION 2900 1451 91 - AVERAGE FLUORESCENCE YIELD 2900 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2900 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2900 1451 94 HERE - NO SECONDARY ENERGY DATA 2900 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2900 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 2900 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 2900 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2900 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2900 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE2900 1451 101 (SINCE THEY CAN BE NEGATIVE). 2900 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2900 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 2900 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 2900 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 2900 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 2900 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2900 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE2900 1451 109 =================================================================2900 1451 110 REFERENCES 2900 1451 111 =================================================================2900 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2900 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2900 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2900 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2900 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2900 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2900 1451 118 2900 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2900 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2900 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2900 1451 122 OF THE DATA, ETC. 2900 1451 123 =================================================================2900 1451 124 HISTORY 2900 1451 125 =================================================================2900 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 2900 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 2900 1451 128 CROSS SECTIONS. 2900 1451 129 =================================================================2900 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2900 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 2900 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2900 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2900 1451 134 *RECONSTRUCTED MT NUMBERS 2900 1451 135 516 =+(515,515)+(517,517) 2900 1451 136 522 =+(534,572) 2900 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2900 1451 138 1 451 160 12900 1451 139 23 501 413 12900 1451 140 23 502 101 12900 1451 141 23 504 31 12900 1451 142 23 515 29 12900 1451 143 23 516 58 12900 1451 144 23 517 41 12900 1451 145 23 522 277 22900 1451 146 23 534 44 22900 1451 147 23 535 51 22900 1451 148 23 536 61 22900 1451 149 23 537 63 22900 1451 150 23 538 57 22900 1451 151 23 539 68 22900 1451 152 23 540 68 22900 1451 153 23 541 83 22900 1451 154 23 542 83 22900 1451 155 23 543 75 22900 1451 156 27 502 52 12900 1451 157 27 504 44 12900 1451 158 27 505 81 12900 1451 159 27 506 81 12900 1451 160 2900 1 0 161 2900 0 0 162 2.900000+4 6.300010+1 0 0 0 0290023501 163 0.000000+0 0.000000+0 0 0 1 1228290023501 164 1228 2 0 0 0 0290023501 165 1.000000+1 3.026190+6 1.004850+1 3.028160+6 1.009000+1 3.029850+6290023501 166 1.009000+1 4.900310+6 1.013410+1 4.906430+6 1.018860+1 4.914000+6290023501 167 1.021910+1 4.918230+6 1.028240+1 4.927020+6 1.030000+1 4.929460+6290023501 168 1.054490+1 4.966480+6 1.071680+1 4.992930+6 1.079580+1 5.006450+6290023501 169 1.089160+1 5.022840+6 1.105440+1 5.051480+6 1.108420+1 5.057130+6290023501 170 1.121970+1 5.082820+6 1.137000+1 5.112220+6 1.148410+1 5.135530+6290023501 171 1.148940+1 5.136650+6 1.154780+1 5.149030+6 1.165730+1 5.172240+6290023501 172 1.183320+1 5.210820+6 1.200990+1 5.250520+6 1.204780+1 5.259190+6290023501 173 1.214410+1 5.281240+6 1.234830+1 5.328730+6 1.242980+1 5.347960+6290023501 174 1.255590+1 5.378480+6 1.269630+1 5.412860+6 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9.297781+3 5.482030+0290027505 1934 9.403031+3 5.408570+0 9.599020+3 5.273390+0 9.878621+3 5.084330+0290027505 1935 1.016400+4 4.892990+0 1.056130+4 4.633810+0 1.076000+4 4.506610+0290027505 1936 1.095870+4 4.380190+0 1.135090+4 4.146240+0 1.154700+4 4.030150+0290027505 1937 1.218270+4 3.689240+0 1.251230+4 3.522670+0 1.273620+4 3.416910+0290027505 1938 1.302460+4 3.282080+0 1.309170+4 3.251580+0 1.323380+4 3.193160+0290027505 1939 1.379650+4 2.985080+0 1.407650+4 2.882600+0 1.427970+4 2.808790+0290027505 1940 1.433940+4 2.787130+0 1.439540+4 2.768880+0 1.452370+4 2.729880+0290027505 1941 1.499070+4 2.589240+0 1.538460+4 2.470670+0 1.576990+4 2.366160+0290027505 1942 1.640080+4 2.205880+0 1.701190+4 2.070830+0 1.771420+4 1.925990+0290027505 1943 1.954080+4 1.613860+0 2.103980+4 1.415680+0 2.286410+4 1.221610+0290027505 1944 2.447070+4 1.083770+0 2.780000+4 8.528680-1 2.976450+4 7.489150-1290027505 1945 3.255420+4 6.319120-1 3.512470+4 5.469380-1 3.783340+4 4.743280-1290027505 1946 4.056800+4 4.143190-1 4.350600+4 3.629210-1 4.600450+4 3.258240-1290027505 1947 5.010480+4 2.754120-1 5.343600+4 2.418550-1 5.706790+4 2.121870-1290027505 1948 6.128940+4 1.837530-1 6.470500+4 1.646000-1 7.021270+4 1.394640-1290027505 1949 7.390810+4 1.259180-1 7.886970+4 1.102620-1 8.632740+4 9.199180-2290027505 1950 9.212500+4 8.075290-2 9.807650+4 7.119600-2 1.044270+5 6.253000-2290027505 1951 1.143200+5 5.208290-2 1.229020+5 4.491620-2 1.312290+5 3.930930-2290027505 1952 1.416550+5 3.353210-2 1.582250+5 2.677120-2 1.735950+5 2.217970-2290027505 1953 1.822530+5 2.007250-2 1.935160+5 1.774780-2 2.051330+5 1.579240-2290027505 1954 2.227270+5 1.346320-2 2.398340+5 1.163870-2 2.582390+5 1.005360-2290027505 1955 2.752930+5 8.877710-3 2.935720+5 7.837680-3 3.140060+5 6.905820-3290027505 1956 3.311840+5 6.257400-3 3.597000+5 5.398350-3 3.899760+5 4.644040-3290027505 1957 4.129180+5 4.227500-3 4.415460+5 3.774230-3 4.598630+5 3.527220-3290027505 1958 5.052570+5 3.026820-3 5.477230+5 2.649140-3 5.841390+5 2.413950-3290027505 1959 6.500650+5 2.075450-3 7.159530+5 1.811330-3 7.798130+5 1.630100-3290027505 1960 8.486910+5 1.470840-3 9.101570+5 1.355570-3 9.809970+5 2.885620-4290027505 1961 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0290027505 1962 290027 0 1963 2.900000+4 6.300010+1 0 0 0 0290027506 1964 0.000000+0 2.900000+1 0 0 1 233290027506 1965 233 2 0 0 0 0290027506 1966 1.000000+1-2.975630+1 1.004850+1-2.976560+1 1.013410+1-2.974470+1290027506 1967 1.018860+1-2.970840+1 1.021910+1-2.968930+1 1.028240+1-2.965310+1290027506 1968 1.079580+1-2.958230+1 1.108420+1-2.956920+1 1.148940+1-2.956580+1290027506 1969 1.204780+1-2.956790+1 1.289800+1-2.958470+1 1.500000+1-2.972300+1290027506 1970 1.756160+1-2.987940+1 1.894810+1-2.996890+1 2.293010+1-3.002950+1290027506 1971 3.000000+1-3.004640+1 4.000000+1-2.974320+1 5.000000+1-2.918460+1290027506 1972 6.046000+1-2.838770+1 7.069900+1-2.790560+1 7.598330+1-2.826580+1290027506 1973 7.679730+1-2.860420+1 7.730820+1-2.888680+1 7.843410+1-2.881860+1290027506 1974 7.896790+1-2.851010+1 8.016990+1-2.817970+1 8.128370+1-2.759850+1290027506 1975 8.195520+1-2.721210+1 8.451940+1-2.629550+1 9.068230+1-2.520270+1290027506 1976 9.879670+1-2.452200+1 1.064340+2-2.422580+1 1.189430+2-2.417790+1290027506 1977 1.202660+2-2.436370+1 1.225410+2-2.420730+1 1.242220+2-2.385490+1290027506 1978 1.368400+2-2.275430+1 1.593670+2-2.111020+1 1.732730+2-2.028450+1290027506 1979 2.032360+2-1.854020+1 2.375470+2-1.697370+1 2.823640+2-1.543620+1290027506 1980 3.264610+2-1.431500+1 3.526950+2-1.382950+1 4.207960+2-1.291920+1290027506 1981 4.776390+2-1.258180+1 5.475080+2-1.236420+1 6.358070+2-1.257360+1290027506 1982 7.157800+2-1.324700+1 7.811910+2-1.426700+1 8.186580+2-1.519360+1290027506 1983 8.589240+2-1.662860+1 8.808750+2-1.785710+1 9.028480+2-1.972620+1290027506 1984 9.148050+2-2.141860+1 9.195780+2-2.239360+1 9.226920+2-2.321210+1290027506 1985 9.251300+2-2.395140+1 9.267880+2-2.448950+1 9.287190+2-2.512770+1290027506 1986 9.305320+2-2.571560+1 9.320270+2-2.616700+1 9.344080+2-2.674490+1290027506 1987 9.380810+2-2.728550+1 9.436180+2-2.739580+1 9.476850+2-2.704360+1290027506 1988 9.527190+2-2.642860+1 9.588020+2-2.544020+1 9.647650+2-2.406300+1290027506 1989 9.708380+2-2.226260+1 9.761770+2-2.093630+1 9.848770+2-1.923490+1290027506 1990 9.930140+2-1.797580+1 1.014460+3-1.572150+1 1.036090+3-1.426850+1290027506 1991 1.055360+3-1.354510+1 1.069200+3-1.339260+1 1.078210+3-1.353850+1290027506 1992 1.086160+3-1.347850+1 1.090700+3-1.320390+1 1.099630+3-1.230330+1290027506 1993 1.111300+3-1.125940+1 1.121060+3-1.061130+1 1.134140+3-9.921310+0290027506 1994 1.169850+3-8.444770+0 1.189040+3-7.836620+0 1.208030+3-7.304720+0290027506 1995 1.255990+3-6.208000+0 1.335570+3-4.853110+0 1.376470+3-4.307720+0290027506 1996 1.479690+3-3.235860+0 1.513970+3-2.976260+0 1.611850+3-2.279730+0290027506 1997 1.657550+3-2.005690+0 1.707150+3-1.799660+0 1.775390+3-1.546300+0290027506 1998 1.846890+3-1.344010+0 1.947600+3-1.106910+0 2.013340+3-9.820450-1290027506 1999 2.074200+3-8.862760-1 2.169610+3-7.681340-1 2.279530+3-6.501850-1290027506 2000 2.361820+3-6.028880-1 2.468740+3-5.527830-1 2.561070+3-5.354290-1290027506 2001 2.698430+3-5.246490-1 2.754080+3-5.265660-1 2.889820+3-5.456140-1290027506 2002 3.054730+3-5.703360-1 3.115010+3-5.906250-1 3.311840+3-6.343560-1290027506 2003 3.408650+3-6.593390-1 3.747650+3-7.523180-1 3.869780+3-8.029290-1290027506 2004 4.199000+3-9.214680-1 4.293780+3-9.628280-1 4.604070+3-1.075370+0290027506 2005 5.020360+3-1.227130+0 5.438680+3-1.411140+0 5.872140+3-1.587890+0290027506 2006 6.312460+3-1.806140+0 6.599190+3-1.952750+0 7.132650+3-2.289630+0290027506 2007 7.440780+3-2.525050+0 7.752161+3-2.832650+0 8.156210+3-3.379090+0290027506 2008 8.370840+3-3.821840+0 8.604880+3-4.597790+0 8.690040+3-5.064570+0290027506 2009 8.740010+3-5.454660+0 8.764060+3-5.695350+0 8.780210+3-5.881370+0290027506 2010 8.794941+3-6.069850+0 8.804060+3-6.194780+0 8.812621+3-6.317890+0290027506 2011 8.820661+3-6.438350+0 8.831790+3-6.609090+0 8.842020+3-6.770680+0290027506 2012 8.854270+3-6.964000+0 8.869920+3-7.200360+0 8.887100+3-7.433250+0290027506 2013 8.906380+3-7.638840+0 8.939930+3-7.772240+0 8.973481+3-7.612480+0290027506 2014 9.011140+3-7.153060+0 9.035281+3-6.734850+0 9.081701+3-5.989310+0290027506 2015 9.103831+3-5.628250+0 9.170090+3-4.898080+0 9.297781+3-4.067800+0290027506 2016 9.403031+3-3.586600+0 9.599020+3-2.926770+0 9.878621+3-2.252940+0290027506 2017 1.016400+4-1.765270+0 1.056130+4-1.256010+0 1.076000+4-1.044860+0290027506 2018 1.095870+4-8.713960-1 1.135090+4-5.791930-1 1.154700+4-4.512730-1290027506 2019 1.218270+4-1.470920-1 1.251230+4-1.383690-2 1.273620+4 4.748320-2290027506 2020 1.302460+4 1.274270-1 1.309170+4 1.421090-1 1.323380+4 1.624270-1290027506 2021 1.379650+4 2.878310-1 1.407650+4 3.438940-1 1.427970+4 3.742710-1290027506 2022 1.433940+4 3.792200-1 1.439540+4 3.800060-1 1.452370+4 3.937460-1290027506 2023 1.499070+4 4.550750-1 1.538460+4 4.979740-1 1.576990+4 5.172610-1290027506 2024 1.640080+4 5.586520-1 1.701190+4 5.767160-1 1.771420+4 6.070840-1290027506 2025 1.954080+4 6.244350-1 2.103980+4 6.173650-1 2.286410+4 6.016370-1290027506 2026 2.447070+4 5.809760-1 2.780000+4 5.389840-1 2.976450+4 5.070450-1290027506 2027 3.255420+4 4.664390-1 3.512470+4 4.292670-1 3.783340+4 3.950380-1290027506 2028 4.056800+4 3.647090-1 4.350600+4 3.338330-1 4.600450+4 3.113010-1290027506 2029 5.010480+4 2.802530-1 5.343600+4 2.569100-1 5.706790+4 2.344270-1290027506 2030 6.128940+4 2.120120-1 6.470500+4 1.957560-1 7.021270+4 1.738630-1290027506 2031 7.390810+4 1.605270-1 7.886970+4 1.454480-1 8.632740+4 1.267930-1290027506 2032 9.212500+4 1.142110-1 9.807650+4 1.032000-1 1.044270+5 9.307570-2290027506 2033 1.143200+5 8.030560-2 1.229020+5 7.105560-2 1.312290+5 6.350320-2290027506 2034 1.416550+5 5.570900-2 1.582250+5 4.588120-2 1.735950+5 3.899630-2290027506 2035 1.822530+5 3.564840-2 1.935160+5 3.191950-2 2.051330+5 2.860490-2290027506 2036 2.227270+5 2.454480-2 2.398340+5 2.133600-2 2.582390+5 1.851140-2290027506 2037 2.752930+5 1.631480-2 2.935720+5 1.433500-2 3.140060+5 1.247830-2290027506 2038 3.311840+5 1.114260-2 3.597000+5 9.351950-3 3.899760+5 7.721280-3290027506 2039 4.129180+5 6.737990-3 4.415460+5 5.717570-3 4.598630+5 5.164800-3290027506 2040 5.052570+5 4.047230-3 5.477230+5 3.229820-3 5.841390+5 2.672590-3290027506 2041 6.500650+5 1.891970-3 7.159530+5 1.316240-3 7.798130+5 8.922690-4290027506 2042 8.486910+5 5.387030-4 9.101570+5 2.870060-4 9.809970+5 6.051920-5290027506 2043 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0290027506 2044 290027 0 2045 2900 0 0 2046 0 0 0 2047 3.000000+4 6.481840+1 -1 0 2 23000 1451 1 0.000000+0 0.000000+0 0 0 0 63000 1451 2 0.000000+0 0.000000+0 0 0 3 23000 1451 3 0.000000+0 0.000000+0 0 0 134 223000 1451 4 30-ZN LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3000 1451 6 ----JEF-2 MATERIAL 3000 REVISION 0 3000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3000 1451 8 ------ENDF-6 FORMAT 3000 1451 9 ******************************************************************3000 1451 10 * JEF-2 *3000 1451 11 * DATA TAKEN FROM EPDL *3000 1451 12 ******************************************************************3000 1451 13 =================================================================3000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3000 1451 15 ENDF/B-VI FORMAT 3000 1451 16 =================================================================3000 1451 17 CONTENTS 3000 1451 18 =================================================================3000 1451 19 MF/MT DESCRIPTION 3000 1451 20 =================================================================3000 1451 21 23/501 TOTAL CROSS SECTION 3000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 38 =================================================================3000 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 3000 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 3000 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3000 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 3000 1451 43 =================================================================3000 1451 44 WARNING 3000 1451 45 =================================================================3000 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3000 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3000 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3000 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3000 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3000 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3000 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3000 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3000 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3000 1451 55 =================================================================3000 1451 56 DEFINITION OF NEW TYPES OF DATA 3000 1451 57 =================================================================3000 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3000 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3000 1451 60 3000 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3000 1451 62 C2 FIELDS ARE, 3000 1451 63 3000 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3000 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3000 1451 66 3000 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3000 1451 68 3000 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3000 1451 70 3000 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3000 1451 72 T = THE THOMSON CROSS SECTION 3000 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 3000 1451 74 FF(M) = THE ATOMIC FORM FACTOR 3000 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3000 1451 76 F1(E) = THE REAL SCATTERING FACTOR 3000 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 3000 1451 78 3000 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 3000 1451 80 3000 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3000 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3000 1451 83 =================================================================3000 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3000 1451 85 =================================================================3000 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3000 1451 87 HERE - 10 EV TO 100 MEV 3000 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3000 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 3000 1451 90 HERE - PHOTON INTERACTION 3000 1451 91 - AVERAGE FLUORESCENCE YIELD 3000 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3000 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3000 1451 94 HERE - NO SECONDARY ENERGY DATA 3000 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3000 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 3000 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 3000 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 3000 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3000 1451 100 - SCATTERING FACTORS LINEARLY INTERPOLABLE3000 1451 101 (SINCE THEY CAN BE NEGATIVE). 3000 1451 102 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3000 1451 103 ORDER TO ALLOW CROSS SECTIONS DEFINED 3000 1451 104 BY SUMMATION (E.G., TOTAL) TO BE 3000 1451 105 CONSISTENTLY DEFINED AT ALL ENERGIES. 3000 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 3000 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3000 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE3000 1451 109 =================================================================3000 1451 110 REFERENCES 3000 1451 111 =================================================================3000 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3000 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3000 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3000 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3000 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3000 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3000 1451 118 3000 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3000 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3000 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3000 1451 122 OF THE DATA, ETC. 3000 1451 123 =================================================================3000 1451 124 HISTORY 3000 1451 125 =================================================================3000 1451 126 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3000 1451 127 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3000 1451 128 CROSS SECTIONS. 3000 1451 129 =================================================================3000 1451 130 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3000 1451 131 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3000 1451 132 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3000 1451 133 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3000 1451 134 *RECONSTRUCTED MT NUMBERS 3000 1451 135 516 =+(515,515)+(517,517) 3000 1451 136 522 =+(534,572) 3000 1451 137 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3000 1451 138 1 451 160 13000 1451 139 23 501 452 13000 1451 140 23 502 123 13000 1451 141 23 504 31 13000 1451 142 23 515 29 13000 1451 143 23 516 58 13000 1451 144 23 517 41 13000 1451 145 23 522 295 23000 1451 146 23 534 43 23000 1451 147 23 535 51 23000 1451 148 23 536 61 23000 1451 149 23 537 63 23000 1451 150 23 538 57 23000 1451 151 23 539 66 23000 1451 152 23 540 67 23000 1451 153 23 541 82 23000 1451 154 23 542 83 23000 1451 155 23 543 80 23000 1451 156 27 502 52 13000 1451 157 27 504 45 13000 1451 158 27 505 92 13000 1451 159 27 506 92 13000 1451 160 3000 1 0 161 3000 0 0 162 3.000000+4 6.481840+1 0 0 0 0300023501 163 0.000000+0 0.000000+0 0 0 1 1346300023501 164 1346 2 0 0 0 0300023501 165 1.000000+1 1.152180+6 1.058890+1 9.830880+5 1.075580+1 9.351650+5300023501 166 1.121240+1 7.971450+5 1.151060+1 7.012520+5 1.154780+1 6.892890+5300023501 167 1.162780+1 6.635630+5 1.197290+1 5.508130+5 1.200390+1 5.406850+5300023501 168 1.234290+1 4.337400+5 1.245370+1 3.991650+5 1.256550+1 3.642780+5300023501 169 1.267940+1 3.349540+5 1.279210+1 3.059400+5 1.286400+1 2.872420+5300023501 170 1.290910+1 2.755140+5 1.297640+1 2.580120+5 1.311350+1 2.283630+5300023501 171 1.316330+1 2.175930+5 1.332120+1 1.844390+5 1.332190+1 1.842920+5300023501 172 1.342110+1 1.668600+5 1.348240+1 1.560870+5 1.352180+1 1.495750+5300023501 173 1.361420+1 1.343040+5 1.366330+1 1.261890+5 1.370730+1 1.203900+5300023501 174 1.383370+1 1.037310+5 1.384670+1 1.020180+5 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2.363300+1 3.710070-2300027502 1904 2.605300+1 2.668400-2 2.827400+1 2.013720-2 3.099000+1 1.461990-2300027502 1905 3.447500+1 1.002480-2 4.002000+1 5.868460-3 5.000000+1 2.613100-3300027502 1906 8.000000+1 4.700100-4 9.500000+1 2.517420-4 1.000000+2 2.091300-4300027502 1907 1.205000+2 1.071860-4 1.418200+2 6.019320-5 1.711700+2 3.115430-5300027502 1908 2.014900+2 1.771170-5 2.264400+2 1.186240-5 2.747900+2 6.140580-6300027502 1909 3.413600+2 2.959550-6 4.024500+2 1.710380-6 4.771400+2 9.746310-7300027502 1910 5.730000+2 5.349240-7 7.255000+2 2.485500-7 9.085000+2 1.204820-7300027502 1911 1.000000+3 8.861000-8 1.342800+3 3.469400-8 1.774400+3 1.440640-8300027502 1912 2.633300+3 4.199830-9 3.757200+3 1.400290-9 6.611900+3 2.49219-10300027502 1913 8.872031+3 1.02939-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0300027502 1914 300027 0 1915 3.000000+4 6.481840+1 0 0 0 0300027504 1916 0.000000+0 3.000000+1 0 0 2 124300027504 1917 2 2 124 5 0 0300027504 1918 0.000000+0 0.000000+0 1.000000-3 3.777110-4 5.000000-3 1.000000-2300027504 1919 8.750000-3 3.127100-2 1.000000-2 4.100000-2 1.375000-2 7.785900-2300027504 1920 1.500000-2 9.260000-2 1.875000-2 1.437530-1 2.000000-2 1.631000-1300027504 1921 2.500000-2 2.517000-1 3.000000-2 3.571000-1 3.500000-2 4.776380-1300027504 1922 4.000000-2 6.115000-1 4.500000-2 7.568610-1 5.000000-2 9.120000-1300027504 1923 5.687500-2 1.138090+0 6.156200-2 1.298580+0 6.500000-2 1.418620+0300027504 1924 6.718700-2 1.495820+0 7.000000-2 1.595600+0 7.500000-2 1.773810+0300027504 1925 8.250000-2 2.041650+0 9.000000-2 2.307300+0 9.750000-2 2.568230+0300027504 1926 1.000000-1 2.654000+0 1.062500-1 2.864870+0 1.156300-1 3.172770+0300027504 1927 1.187500-1 3.272900+0 1.250000-1 3.470000+0 1.375000-1 3.851630+0300027504 1928 1.500000-1 4.220000+0 1.750000-1 4.932200+0 2.000000-1 5.631000+0300027504 1929 2.250000-1 6.328250+0 2.500000-1 7.023600+0 2.750000-1 7.711450+0300027504 1930 3.000000-1 8.388000+0 3.343800-1 9.287650+0 3.500000-1 9.684290+0300027504 1931 3.718800-1 1.022730+1 4.000000-1 1.090100+1 4.250000-1 1.147710+1300027504 1932 4.500000-1 1.203460+1 4.625000-1 1.230540+1 5.000000-1 1.309400+1300027504 1933 5.500000-1 1.408740+1 5.750000-1 1.456050+1 6.000000-1 1.502000+1300027504 1934 6.750000-1 1.630830+1 7.000000-1 1.670900+1 7.750000-1 1.782040+1300027504 1935 8.000000-1 1.816300+1 8.750000-1 1.910630+1 9.000000-1 1.939500+1300027504 1936 9.750000-1 2.018480+1 1.000000+0 2.042700+1 1.109400+0 2.136820+1300027504 1937 1.125000+0 2.148880+1 1.250000+0 2.236500+1 1.437500+0 2.343460+1300027504 1938 1.500000+0 2.374500+1 1.617200+0 2.427900+1 1.712900+0 2.467550+1300027504 1939 1.750000+0 2.482190+1 1.815400+0 2.506470+1 1.907700+0 2.538490+1300027504 1940 2.000000+0 2.568300+1 2.062500+0 2.586750+1 2.335900+0 2.657350+1300027504 1941 2.375000+0 2.665940+1 2.445300+0 2.681010+1 2.500000+0 2.691900+1300027504 1942 2.781300+0 2.739260+1 2.859400+0 2.750600+1 2.875000+0 2.752640+1300027504 1943 2.929700+0 2.759740+1 3.000000+0 2.768700+1 3.062500+0 2.775910+1300027504 1944 3.308600+0 2.801430+1 3.377000+0 2.807500+1 3.459000+0 2.814610+1300027504 1945 3.500000+0 2.818100+1 3.562500+0 2.822890+1 3.617200+0 2.827020+1300027504 1946 3.712900+0 2.834120+1 4.000000+0 2.853000+1 4.125000+0 2.860250+1300027504 1947 4.234400+0 2.866420+1 4.425800+0 2.876240+1 4.856400+0 2.896070+1300027504 1948 5.000000+0 2.902100+1 5.125000+0 2.906850+1 6.000000+0 2.935800+1300027504 1949 6.250000+0 2.942250+1 7.000000+0 2.958800+1 7.625000+0 2.968900+1300027504 1950 7.875000+0 2.972260+1 8.000000+0 2.973900+1 8.250000+0 2.976620+1300027504 1951 8.564500+0 2.979790+1 8.827600+0 2.981960+1 9.246300+0 2.985280+1300027504 1952 9.811600+0 2.988550+1 1.000000+1 2.989600+1 1.089800+1 2.992930+1300027504 1953 1.165000+1 2.994940+1 1.248800+1 2.996500+1 1.338500+1 2.997600+1300027504 1954 1.419300+1 2.998220+1 1.500000+1 2.998800+1 1.562500+1 2.998940+1300027504 1955 1.671900+1 2.999180+1 1.753900+1 2.999340+1 1.877000+1 2.999580+1300027504 1956 2.000000+1 2.999800+1 2.187500+1 2.999820+1 2.363300+1 2.999840+1300027504 1957 2.605300+1 2.999860+1 2.827400+1 2.999880+1 3.099000+1 2.999900+1300027504 1958 3.447500+1 2.999920+1 4.002000+1 2.999950+1 5.000000+1 3.000000+1300027504 1959 8.872031+3 3.000000+1 0.000000+0 0.000000+0 0.000000+0 0.000000+0300027504 1960 300027 0 1961 3.000000+4 6.481840+1 0 0 0 0300027505 1962 0.000000+0 3.000000+1 0 0 1 266300027505 1963 266 2 0 0 0 0300027505 1964 1.000000+1 1.761740+0 1.121240+1 1.376610+0 1.245370+1 7.676360-1300027505 1965 1.290910+1 5.510360-1 1.332120+1 3.831710-1 1.352180+1 3.135530-1300027505 1966 1.370730+1 2.568670-1 1.396130+1 1.916750-1 1.414670+1 1.523400-1300027505 1967 1.435740+1 1.157050-1 1.452550+1 9.177310-2 1.471350+1 6.986430-2300027505 1968 1.490910+1 5.194480-2 1.505340+1 4.143190-2 1.522230+1 3.153120-2300027505 1969 1.535740+1 2.529140-2 1.548610+1 2.052740-2 1.562510+1 1.641920-2300027505 1970 1.575640+1 1.333620-2 1.589310+1 1.085230-2 1.599410+1 9.490320-3300027505 1971 1.602580+1 9.223000-3 1.606170+1 9.221030-3 1.608600+1 9.459110-3300027505 1972 1.610890+1 9.971760-3 1.613030+1 1.082880-2 1.614550+1 1.173480-2300027505 1973 1.616000+1 1.289190-2 1.617670+1 1.468170-2 1.618970+1 1.649260-2300027505 1974 1.620500+1 1.909120-2 1.622000+1 2.225110-2 1.623460+1 2.601080-2300027505 1975 1.625590+1 3.288000-2 1.627380+1 3.999430-2 1.629630+1 5.098560-2300027505 1976 1.632590+1 6.909980-2 1.636000+1 9.523380-2 1.639490+1 1.270760-1300027505 1977 1.653020+1 2.707790-1 1.658930+1 3.253480-1 1.666080+1 3.791260-1300027505 1978 1.671190+1 4.103750-1 1.675410+1 4.425280-1 1.693030+1 5.641320-1300027505 1979 1.699180+1 5.981340-1 1.707200+1 6.265430-1 1.718810+1 6.441810-1300027505 1980 1.847190+1 6.925230-1 1.925430+1 7.322450-1 1.986020+1 7.802230-1300027505 1981 2.213360+1 1.000750+0 2.398390+1 1.236810+0 2.570790+1 1.441220+0300027505 1982 2.722440+1 1.625440+0 4.000000+1 3.489100+0 4.472140+1 4.233920+0300027505 1983 5.000000+1 5.009870+0 6.000000+1 6.248040+0 7.000000+1 7.155870+0300027505 1984 8.620420+1 7.918340+0 8.935360+1 8.098880+0 9.015190+1 8.398910+0300027505 1985 9.133430+1 9.076090+0 9.246060+1 9.309980+0 9.485130+1 9.828560+0300027505 1986 9.852900+1 9.828500+0 1.109900+2 9.734940+0 1.241040+2 9.817680+0300027505 1987 1.346770+2 1.009260+1 1.363040+2 1.030690+1 1.380550+2 1.093370+1300027505 1988 1.391340+2 1.120540+1 1.423250+2 1.134300+1 1.608040+2 1.154230+1300027505 1989 2.000000+2 1.171810+1 2.395010+2 1.145780+1 2.683120+2 1.096360+1300027505 1990 3.233880+2 9.945490+0 3.841410+2 9.039280+0 4.365450+2 8.300410+0300027505 1991 5.351590+2 7.072970+0 6.334260+2 6.074620+0 7.130240+2 5.415320+0300027505 1992 7.947600+2 4.859400+0 8.386490+2 4.586540+0 8.957960+2 4.260060+0300027505 1993 9.419610+2 4.030050+0 9.648990+2 3.925970+0 9.885300+2 3.822510+0300027505 1994 1.002130+3 3.779400+0 1.007450+3 3.836620+0 1.011220+3 3.999400+0300027505 1995 1.014100+3 4.257180+0 1.016810+3 4.651720+0 1.019330+3 5.185050+0300027505 1996 1.022130+3 5.943740+0 1.028090+3 7.988190+0 1.034340+3 1.029410+1300027505 1997 1.038220+3 1.151520+1 1.043020+3 1.295120+1 1.051740+3 1.514860+1300027505 1998 1.058220+3 1.634340+1 1.061540+3 1.668740+1 1.072330+3 1.716380+1300027505 1999 1.086880+3 1.714700+1 1.111950+3 1.707260+1 1.139590+3 1.684680+1300027505 2000 1.156630+3 1.669550+1 1.171000+3 1.672630+1 1.179520+3 1.719040+1300027505 2001 1.184750+3 1.764810+1 1.190480+3 1.813640+1 1.199760+3 1.855630+1300027505 2002 1.206740+3 1.857050+1 1.215700+3 1.840160+1 1.238870+3 1.796710+1300027505 2003 1.269140+3 1.741030+1 1.306030+3 1.677080+1 1.360530+3 1.586690+1300027505 2004 1.394460+3 1.531500+1 1.451110+3 1.448150+1 1.510070+3 1.368930+1300027505 2005 1.554920+3 1.313820+1 1.604630+3 1.262670+1 1.675950+3 1.192020+1300027505 2006 1.709640+3 1.159000+1 1.755300+3 1.118850+1 1.826720+3 1.057200+1300027505 2007 1.848770+3 1.038490+1 2.000000+3 9.235970+0 2.086490+3 8.677270+0300027505 2008 2.158870+3 8.218500+0 2.213360+3 7.903730+0 2.337460+3 7.283270+0300027505 2009 2.408450+3 6.959480+0 2.582970+3 6.273440+0 2.676670+3 5.924790+0300027505 2010 2.734280+3 5.724110+0 2.951410+3 5.086810+0 3.000000+3 4.962810+0300027505 2011 3.219360+3 4.445110+0 3.429530+3 4.018560+0 3.536880+3 3.824680+0300027505 2012 3.648820+3 3.631330+0 3.981220+3 3.158110+0 4.361090+3 2.716630+0300027505 2013 4.572820+3 2.514810+0 4.914520+3 2.234560+0 5.440610+3 1.886930+0300027505 2014 5.851470+3 1.666510+0 6.317860+3 1.463270+0 6.943790+3 1.244410+0300027505 2015 7.303960+3 1.141080+0 7.686060+3 1.047080+0 8.066000+3 9.665030-1300027505 2016 8.313710+3 9.151050-1 8.775611+3 8.332350-1 9.006560+3 7.964980-1300027505 2017 9.258380+3 7.600270-1 9.350010+3 7.487650-1 9.403770+3 7.554860-1300027505 2018 9.429651+3 7.771510-1 9.447031+3 8.072680-1 9.462880+3 8.519190-1300027505 2019 9.472701+3 8.904950-1 9.481911+3 9.360150-1 9.490550+3 9.881870-1300027505 2020 9.502531+3 1.077750+0 9.513531+3 1.179860+0 9.526720+3 1.329880+0300027505 2021 9.543560+3 1.568580+0 9.562040+3 1.891930+0 9.582790+3 2.324840+0300027505 2022 9.619741+3 3.218920+0 9.656701+3 4.113010+0 9.698191+3 4.923410+0300027505 2023 9.724781+3 5.280360+0 9.775911+3 5.641360+0 9.824661+3 5.734500+0300027505 2024 9.888401+3 5.684990+0 1.000790+4 5.592510+0 1.011250+4 5.512170+0300027505 2025 1.029550+4 5.371590+0 1.057010+4 5.162010+0 1.084460+4 4.955480+0300027505 2026 1.124990+4 4.698360+0 1.145900+4 4.567000+0 1.167140+4 4.435290+0300027505 2027 1.208930+4 4.206530+0 1.230630+4 4.088120+0 1.252340+4 3.969910+0300027505 2028 1.295840+4 3.758650+0 1.317600+4 3.653850+0 1.339510+4 3.548650+0300027505 2029 1.380290+4 3.365640+0 1.410220+4 3.246250+0 1.467200+4 3.041140+0300027505 2030 1.492130+4 2.951810+0 1.510380+4 2.886750+0 1.523210+4 2.840990+0300027505 2031 1.531370+4 2.816590+0 1.554920+4 2.748040+0 1.604630+4 2.604360+0300027505 2032 1.628060+4 2.536940+0 1.643200+4 2.493460+0 1.681370+4 2.396850+0300027505 2033 1.754720+4 2.226730+0 1.822530+4 2.087140+0 1.908630+4 1.927440+0300027505 2034 2.088550+4 1.647720+0 2.259530+4 1.435800+0 2.388720+4 1.292260+0300027505 2035 2.582080+4 1.120090+0 2.758330+4 9.881850-1 2.976450+4 8.584320-1300027505 2036 3.185620+4 7.557000-1 3.447990+4 6.523900-1 3.783340+4 5.490220-1300027505 2037 4.087590+4 4.732950-1 4.350600+4 4.184130-1 4.718340+4 3.567020-1300027505 2038 5.120630+4 3.040670-1 5.525120+4 2.613530-1 5.952910+4 2.254700-1300027505 2039 6.291120+4 2.020760-1 6.606500+4 1.831130-1 7.073860+4 1.599210-1300027505 2040 7.778340+4 1.326710-1 8.320560+4 1.158820-1 8.959879+4 9.964850-2300027505 2041 9.597690+4 8.660270-2 1.025670+5 7.574570-2 1.099690+5 6.567280-2300027505 2042 1.180760+5 5.683950-2 1.281990+5 4.807440-2 1.376470+5 4.161350-2300027505 2043 1.482080+5 3.578760-2 1.607080+5 3.033100-2 1.695460+5 2.719240-2300027505 2044 1.822530+5 2.351460-2 1.917580+5 2.121200-2 2.112330+5 1.755890-2300027505 2045 2.227230+5 1.585180-2 2.379280+5 1.390520-2 2.582390+5 1.183230-2300027505 2046 2.752930+5 1.044630-2 2.935720+5 9.220430-3 3.109840+5 8.258960-3300027505 2047 3.311840+5 7.363200-3 3.597000+5 6.355180-3 3.899520+5 5.470390-3300027505 2048 4.129000+5 4.980720-3 4.415460+5 4.447720-3 4.598630+5 4.157330-3300027505 2049 5.052570+5 3.568930-3 5.477230+5 3.124740-3 5.841390+5 2.847830-3300027505 2050 6.500640+5 2.449190-3 7.159520+5 2.138060-3 7.798130+5 1.924330-3300027505 2051 8.486910+5 1.736510-3 9.101570+5 1.600520-3 9.784300+5 3.869150-4300027505 2052 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0300027505 2053 300027 0 2054 3.000000+4 6.481840+1 0 0 0 0300027506 2055 0.000000+0 3.000000+1 0 0 1 266300027506 2056 266 2 0 0 0 0300027506 2057 1.000000+1-3.021400+1 1.121240+1-2.951950+1 1.245370+1-2.927230+1300027506 2058 1.290910+1-2.931000+1 1.332120+1-2.941660+1 1.352180+1-2.948560+1300027506 2059 1.370730+1-2.955330+1 1.396130+1-2.964840+1 1.414670+1-2.972050+1300027506 2060 1.435740+1-2.980170+1 1.452550+1-2.986620+1 1.471350+1-2.993680+1300027506 2061 1.490910+1-3.000840+1 1.505340+1-3.006010+1 1.522230+1-3.011880+1300027506 2062 1.535740+1-3.016460+1 1.548610+1-3.020710+1 1.562510+1-3.025180+1300027506 2063 1.575640+1-3.029300+1 1.589310+1-3.034820+1 1.599410+1-3.039820+1300027506 2064 1.602580+1-3.041540+1 1.606170+1-3.043600+1 1.608600+1-3.045080+1300027506 2065 1.610890+1-3.046550+1 1.613030+1-3.048010+1 1.614550+1-3.049090+1300027506 2066 1.616000+1-3.050160+1 1.617670+1-3.051440+1 1.618970+1-3.052590+1300027506 2067 1.620500+1-3.053960+1 1.622000+1-3.055350+1 1.623460+1-3.056750+1300027506 2068 1.625590+1-3.058840+1 1.627380+1-3.060640+1 1.629630+1-3.062910+1300027506 2069 1.632590+1-3.065850+1 1.636000+1-3.069040+1 1.639490+1-3.071850+1300027506 2070 1.653020+1-3.077670+1 1.658930+1-3.077830+1 1.666080+1-3.077610+1300027506 2071 1.671190+1-3.077680+1 1.675410+1-3.077450+1 1.693030+1-3.076190+1300027506 2072 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6.334260+2-1.227930+1 7.130240+2-1.258560+1300027506 2085 7.947600+2-1.325050+1 8.386490+2-1.390190+1 8.957960+2-1.502540+1300027506 2086 9.419610+2-1.650780+1 9.648990+2-1.764080+1 9.885300+2-1.934590+1300027506 2087 1.002130+3-2.099530+1 1.007450+3-2.193530+1 1.011220+3-2.278420+1300027506 2088 1.014100+3-2.353040+1 1.016810+3-2.426970+1 1.019330+3-2.495100+1300027506 2089 1.022130+3-2.563040+1 1.028090+3-2.648730+1 1.034340+3-2.669740+1300027506 2090 1.038220+3-2.640430+1 1.043020+3-2.596500+1 1.051740+3-2.465740+1300027506 2091 1.058220+3-2.322130+1 1.061540+3-2.251070+1 1.072330+3-2.040340+1300027506 2092 1.086880+3-1.857300+1 1.111950+3-1.649970+1 1.139590+3-1.501870+1300027506 2093 1.156630+3-1.443670+1 1.171000+3-1.444380+1 1.179520+3-1.451860+1300027506 2094 1.184750+3-1.438230+1 1.190480+3-1.398590+1 1.199760+3-1.302400+1300027506 2095 1.206740+3-1.234650+1 1.215700+3-1.163790+1 1.238870+3-1.028580+1300027506 2096 1.269140+3-9.004820+0 1.306030+3-7.848370+0 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8.313710+3-2.777720+0 8.775611+3-3.365790+0 9.006560+3-3.813530+0300027506 2110 9.258380+3-4.598430+0 9.350010+3-5.070750+0 9.403770+3-5.465800+0300027506 2111 9.429651+3-5.709580+0 9.447031+3-5.898020+0 9.462880+3-6.089080+0300027506 2112 9.472701+3-6.215750+0 9.481911+3-6.340580+0 9.490550+3-6.462730+0300027506 2113 9.502531+3-6.635860+0 9.513531+3-6.799700+0 9.526720+3-6.995700+0300027506 2114 9.543560+3-7.235250+0 9.562040+3-7.471210+0 9.582790+3-7.679220+0300027506 2115 9.619741+3-7.814270+0 9.656701+3-7.639160+0 9.698191+3-7.150910+0300027506 2116 9.724781+3-6.714310+0 9.775911+3-5.949500+0 9.824661+3-5.317550+0300027506 2117 9.888401+3-4.726570+0 1.000790+4-4.003610+0 1.011250+4-3.543630+0300027506 2118 1.029550+4-2.934200+0 1.057010+4-2.277430+0 1.084460+4-1.821320+0300027506 2119 1.124990+4-1.322890+0 1.145900+4-1.108600+0 1.167140+4-9.331050-1300027506 2120 1.208930+4-6.317670-1 1.230630+4-4.938240-1 1.252340+4-3.827760-1300027506 2121 1.295840+4-1.840140-1 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1.339420-1300027506 2134 9.597690+4 1.202120-1 1.025670+5 1.081670-1 1.099690+5 9.655970-2300027506 2135 1.180760+5 8.576740-2 1.281990+5 7.475390-2 1.376470+5 6.618810-2300027506 2136 1.482080+5 5.827350-2 1.607080+5 5.062230-2 1.695460+5 4.593660-2300027506 2137 1.822530+5 4.034100-2 1.917580+5 3.668030-2 2.112330+5 3.076580-2300027506 2138 2.227230+5 2.786290-2 2.379280+5 2.459590-2 2.582390+5 2.105180-2300027506 2139 2.752930+5 1.855970-2 2.935720+5 1.631100-2 3.109840+5 1.447100-2300027506 2140 3.311840+5 1.268080-2 3.597000+5 1.064510-2 3.899520+5 8.790450-3300027506 2141 4.129000+5 7.670590-3 4.415460+5 6.508100-3 4.598630+5 5.878870-3300027506 2142 5.052570+5 4.606750-3 5.477230+5 3.676340-3 5.841390+5 3.042100-3300027506 2143 6.500640+5 2.153580-3 7.159520+5 1.498230-3 7.798130+5 1.015650-3300027506 2144 8.486910+5 6.132190-4 9.101570+5 3.266970-4 9.784300+5 7.818210-5300027506 2145 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0300027506 2146 300027 0 2147 3000 0 0 2148 0 0 0 2149 3.100000+4 6.912110+1 -1 0 2 23100 1451 1 0.000000+0 0.000000+0 0 0 0 63100 1451 2 0.000000+0 0.000000+0 0 0 3 23100 1451 3 0.000000+0 0.000000+0 0 0 136 243100 1451 4 31-GA LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3100 1451 6 ----JEF-2 MATERIAL 3100 REVISION 0 3100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3100 1451 8 ------ENDF-6 FORMAT 3100 1451 9 ******************************************************************3100 1451 10 * JEF-2 *3100 1451 11 * DATA TAKEN FROM EPDL *3100 1451 12 ******************************************************************3100 1451 13 =================================================================3100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3100 1451 15 ENDF/B-VI FORMAT 3100 1451 16 =================================================================3100 1451 17 CONTENTS 3100 1451 18 =================================================================3100 1451 19 MF/MT DESCRIPTION 3100 1451 20 =================================================================3100 1451 21 23/501 TOTAL CROSS SECTION 3100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 40 =================================================================3100 1451 41 27/502 COHERENT SCATTERING FORM FACTORS 3100 1451 42 27/504 INCOHERENT SCATTERING FUNCTIONS 3100 1451 43 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3100 1451 44 27/506 COHERENT REAL SCATTERING FACTOR 3100 1451 45 =================================================================3100 1451 46 WARNING 3100 1451 47 =================================================================3100 1451 48 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3100 1451 49 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3100 1451 50 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3100 1451 51 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3100 1451 52 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3100 1451 53 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3100 1451 54 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3100 1451 55 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3100 1451 56 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3100 1451 57 =================================================================3100 1451 58 DEFINITION OF NEW TYPES OF DATA 3100 1451 59 =================================================================3100 1451 60 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3100 1451 61 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3100 1451 62 3100 1451 63 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3100 1451 64 C2 FIELDS ARE, 3100 1451 65 3100 1451 66 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3100 1451 67 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3100 1451 68 3100 1451 69 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3100 1451 70 3100 1451 71 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3100 1451 72 3100 1451 73 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3100 1451 74 T = THE THOMSON CROSS SECTION 3100 1451 75 MU = THE COSINE OF THE SCATTERING ANGLE 3100 1451 76 FF(M) = THE ATOMIC FORM FACTOR 3100 1451 77 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3100 1451 78 F1(E) = THE REAL SCATTERING FACTOR 3100 1451 79 F2(E) = THE IMAGINARY SCATTERING FACTOR 3100 1451 80 3100 1451 81 F1(E) AND F2(E) ARE ISOTROPIC. 3100 1451 82 3100 1451 83 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3100 1451 84 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3100 1451 85 =================================================================3100 1451 86 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3100 1451 87 =================================================================3100 1451 88 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3100 1451 89 HERE - 10 EV TO 100 MEV 3100 1451 90 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3100 1451 91 - FLUORESCENCE AND ELECTRON SPECTRA 3100 1451 92 HERE - PHOTON INTERACTION 3100 1451 93 - AVERAGE FLUORESCENCE YIELD 3100 1451 94 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3100 1451 95 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3100 1451 96 HERE - NO SECONDARY ENERGY DATA 3100 1451 97 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3100 1451 98 INTERPOLABLE - SUMMATION CROSS SECTIONS 3100 1451 99 (E.G., TOTAL) ARE NOT INCLUDED 3100 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3100 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3100 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE3100 1451 103 (SINCE THEY CAN BE NEGATIVE). 3100 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3100 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 3100 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 3100 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 3100 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 3100 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3100 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE3100 1451 111 =================================================================3100 1451 112 REFERENCES 3100 1451 113 =================================================================3100 1451 114 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3100 1451 115 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3100 1451 116 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3100 1451 117 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3100 1451 118 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3100 1451 119 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3100 1451 120 3100 1451 121 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3100 1451 122 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3100 1451 123 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3100 1451 124 OF THE DATA, ETC. 3100 1451 125 =================================================================3100 1451 126 HISTORY 3100 1451 127 =================================================================3100 1451 128 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3100 1451 129 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3100 1451 130 CROSS SECTIONS. 3100 1451 131 =================================================================3100 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3100 1451 133 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3100 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3100 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3100 1451 136 *RECONSTRUCTED MT NUMBERS 3100 1451 137 516 =+(515,515)+(517,517) 3100 1451 138 522 =+(534,572) 3100 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3100 1451 140 1 451 164 13100 1451 141 23 501 418 13100 1451 142 23 502 112 13100 1451 143 23 504 30 13100 1451 144 23 515 30 13100 1451 145 23 516 58 13100 1451 146 23 517 41 13100 1451 147 23 522 269 23100 1451 148 23 534 43 23100 1451 149 23 535 50 23100 1451 150 23 536 60 23100 1451 151 23 537 61 23100 1451 152 23 538 55 23100 1451 153 23 539 65 23100 1451 154 23 540 67 23100 1451 155 23 541 83 23100 1451 156 23 542 82 23100 1451 157 23 543 75 23100 1451 158 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178 1.287340+1 2.636090+6 1.311360+1 2.435530+6 1.313570+1 2.419120+6310023501 179 1.318710+1 2.380950+6 1.321580+1 2.362060+6 1.350240+1 2.173460+6310023501 180 1.365780+1 2.077030+6 1.386220+1 1.950190+6 1.393780+1 1.907990+6310023501 181 1.406440+1 1.837320+6 1.423150+1 1.757560+6 1.432540+1 1.713880+6310023501 182 1.441990+1 1.669920+6 1.468490+1 1.555370+6 1.470710+1 1.545770+6310023501 183 1.499770+1 1.429440+6 1.500000+1 1.428520+6 1.511570+1 1.388460+6310023501 184 1.527210+1 1.334310+6 1.551430+1 1.255880+6 1.554920+1 1.245120+6310023501 185 1.572940+1 1.189590+6 1.583130+1 1.159330+6 1.592000+1 1.134350+6310023501 186 1.596540+1 1.121940+6 1.608860+1 1.088270+6 1.611850+1 1.080370+6310023501 187 1.638810+1 1.018810+6 1.648490+1 9.974940+5 1.655920+1 9.821200+5310023501 188 1.661640+1 9.702840+5 1.688590+1 9.163370+5 1.696480+1 9.005440+5310023501 189 1.701190+1 8.914100+5 1.732050+1 8.381640+5 1.751620+1 8.056710+5310023501 190 1.763470+1 7.875100+5 1.771420+1 7.755110+5 1.795470+1 7.436670+5310023501 191 1.797610+1 7.409080+5 1.844550+1 6.803870+5 1.850140+1 6.733230+5310023501 192 1.861210+1 6.593340+5 1.882240+1 6.338450+5 1.887140+1 6.287710+5310023501 193 1.896570+1 6.190070+5 1.904200+1 6.112280+5 1.932880+1 5.819880+5310023501 194 1.948180+1 5.665660+5 1.971960+1 5.442470+5 1.977370+1 5.391690+5310023501 195 2.000000+1 5.181290+5 2.027600+1 4.947430+5 2.042140+1 4.834570+5310023501 196 2.054600+1 4.737860+5 2.085170+1 4.504590+5 2.094430+1 4.441950+5310023501 197 2.101540+1 4.393850+5 2.106010+1 4.363610+5 2.162660+1 3.989370+5310023501 198 2.170630+1 3.943910+5 2.174460+1 3.922840+5 2.195480+1 3.820170+5310023501 199 2.228790+1 3.657470+5 2.266700+1 3.482070+5 2.287570+1 3.385510+5310023501 200 2.291540+1 3.367950+5 2.305260+1 3.312240+5 2.332670+1 3.222760+5310023501 201 2.351430+1 3.164990+5 2.367070+1 3.116820+5 2.383480+1 3.070140+5310023501 202 2.418350+1 2.981850+5 2.419640+1 2.979200+5 2.444730+1 2.936180+5310023501 203 2.473370+1 2.887080+5 2.489280+1 2.861440+5 2.506790+1 2.833240+5310023501 204 2.523220+1 2.813610+5 2.528340+1 2.807490+5 2.545950+1 2.791650+5310023501 205 2.546440+1 2.791180+5 2.548980+1 2.788700+5 2.588110+1 2.750610+5310023501 206 2.613090+1 2.726290+5 2.627840+1 2.705500+5 2.643840+1 2.682950+5310023501 207 2.645550+1 2.680540+5 2.654510+1 2.671500+5 2.663080+1 2.662850+5310023501 208 2.672820+1 2.653030+5 2.682000+1 2.643760+5 2.687000+1 2.637060+5310023501 209 2.687000+1 1.848140+6 2.691240+1 1.843790+6 2.709780+1 1.824790+6310023501 210 2.731400+1 1.802640+6 2.737000+1 1.796900+6 2.737000+1 2.835330+6310023501 211 2.749850+1 2.816060+6 2.758540+1 2.803030+6 2.768500+1 2.788100+6310023501 212 2.792000+1 2.752860+6 2.793090+1 2.751800+6 2.819410+1 2.726330+6310023501 213 2.894200+1 2.655120+6 2.945420+1 2.607590+6 2.946590+1 2.606520+6310023501 214 3.000000+1 2.573560+6 3.014050+1 2.576110+6 3.021280+1 2.577430+6310023501 215 3.060280+1 2.584510+6 3.082150+1 2.588740+6 3.209250+1 2.616010+6310023501 216 3.223710+1 2.630110+6 3.231070+1 2.637130+6 3.272170+1 2.676870+6310023501 217 3.346360+1 2.749350+6 3.347460+1 2.750420+6 3.440660+1 2.842510+6310023501 218 3.471900+1 2.873560+6 3.473680+1 2.876800+6 3.508870+1 2.940970+6310023501 219 3.529970+1 2.979450+6 3.572700+1 3.057830+6 3.590940+1 3.091380+6310023501 220 3.598380+1 3.104910+6 3.722420+1 3.330520+6 3.780320+1 3.436500+6310023501 221 3.793880+1 3.461380+6 3.999640+1 3.838970+6 4.000000+1 3.839630+6310023501 222 4.229490+1 4.348540+6 4.261380+1 4.419460+6 4.349120+1 4.614590+6310023501 223 4.468570+1 4.911680+6 4.472140+1 4.920560+6 4.485060+1 4.952790+6310023501 224 4.728710+1 5.560600+6 4.798390+1 5.718100+6 4.957900+1 6.078640+6310023501 225 5.000000+1 6.173790+6 5.152550+1 6.459660+6 5.477230+1 7.068090+6310023501 226 5.560150+1 7.177900+6 5.908440+1 7.639160+6 6.000000+1 7.760420+6310023501 227 6.504550+1 8.086680+6 6.735370+1 8.235930+6 6.739150+1 8.238380+6310023501 228 7.000000+1 8.407200+6 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1.611850+6 6.376210-8 1.795470+6 5.312910-8 2.000000+6 4.426920-8310023545 1922 2.044000+6 4.273400-8 2.249780+6 3.695190-8 2.597950+6 2.971200-8310023545 1923 3.000000+6 2.389060-8 3.464100+6 1.957180-8 4.000000+6 1.603370-8310023545 1924 4.472140+6 1.385400-8 5.000000+6 1.197060-8 5.477230+6 1.067200-8310023545 1925 6.000000+6 9.514200-9 7.000000+6 7.878020-9 8.000000+6 6.715040-9310023545 1926 9.000000+6 5.846480-9 1.000000+7 5.173500-9 1.100000+7 4.639330-9310023545 1927 1.200000+7 4.204000-9 1.300000+7 3.842270-9 1.400000+7 3.537330-9310023545 1928 1.500000+7 3.276550-9 1.600000+7 3.051530-9 1.800000+7 2.683490-9310023545 1929 2.000000+7 2.393270-9 2.200000+7 2.159830-9 2.400000+7 1.968660-9310023545 1930 2.600000+7 1.807780-9 2.800000+7 1.671290-9 3.000000+7 1.553730-9310023545 1931 3.464100+7 1.336440-9 4.000000+7 1.149530-9 4.472140+7 1.023950-9310023545 1932 5.000000+7 9.12093-10 6.000000+7 7.55836-10 6.928200+7 6.52323-10310023545 1933 8.000000+7 5.62986-10 8.944271+7 5.02538-10 1.000000+8 4.48580-10310023545 1934 310023 0 1935 3100 0 0 1936 3.100000+4 6.912110+1 0 0 0 0310027502 1937 0.000000+0 3.100000+1 0 0 2 143310027502 1938 2 2 143 5 0 0310027502 1939 0.000000+0 3.100000+1 1.000000-3 3.100000+1 5.000000-3 3.097900+1310027502 1940 8.750000-3 3.096120+1 1.000000-2 3.095700+1 1.500000-2 3.093200+1310027502 1941 2.000000-2 3.088100+1 2.500000-2 3.081500+1 3.000000-2 3.073500+1310027502 1942 3.500000-2 3.064080+1 4.000000-2 3.053900+1 4.500000-2 3.042830+1310027502 1943 5.000000-2 3.030600+1 5.687500-2 3.011490+1 6.437500-2 2.988600+1310027502 1944 6.500000-2 2.986590+1 7.000000-2 2.970600+1 7.500000-2 2.953830+1310027502 1945 8.250000-2 2.927780+1 9.000000-2 2.901600+1 9.750000-2 2.874630+1310027502 1946 1.000000-1 2.865700+1 1.109400-1 2.824460+1 1.187500-1 2.794470+1310027502 1947 1.203100-1 2.788490+1 1.250000-1 2.770300+1 1.375000-1 2.721510+1310027502 1948 1.500000-1 2.674000+1 1.687500-1 2.604720+1 1.750000-1 2.581900+1310027502 1949 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3.00684-10 8.872031+3 1.24375-10 0.000000+0 0.000000+0310027502 1987 310027 0 1988 3.100000+4 6.912110+1 0 0 0 0310027504 1989 0.000000+0 3.100000+1 0 0 2 123310027504 1990 2 2 123 5 0 0310027504 1991 0.000000+0 0.000000+0 1.000000-3 4.400000-4 5.000000-3 1.100000-2310027504 1992 8.750000-3 3.372120-2 1.000000-2 4.400000-2 1.500000-2 9.820000-2310027504 1993 2.000000-2 1.727000-1 2.500000-2 2.663000-1 3.000000-2 3.773000-1310027504 1994 3.500000-2 5.039570-1 4.000000-2 6.444000-1 4.500000-2 7.967210-1310027504 1995 5.000000-2 9.590000-1 5.687500-2 1.194930+0 6.437500-2 1.464630+0310027504 1996 6.500000-2 1.487560+0 7.000000-2 1.672400+0 7.500000-2 1.859150+0310027504 1997 8.250000-2 2.140910+0 9.000000-2 2.421800+0 9.750000-2 2.699340+0310027504 1998 1.000000-1 2.791000+0 1.109400-1 3.184860+0 1.187500-1 3.458680+0310027504 1999 1.203100-1 3.512320+0 1.250000-1 3.672600+0 1.375000-1 4.086420+0310027504 2000 1.500000-1 4.483000+0 1.687500-1 5.049620+0 1.750000-1 5.232600+0310027504 2001 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1.003860+4-5.054340+0 1.009630+4-5.450490+0 1.012410+4-5.695100+0310027506 2180 1.014270+4-5.884200+0 1.015970+4-6.075960+0 1.017030+4-6.203100+0310027506 2181 1.018020+4-6.328400+0 1.018940+4-6.450990+0 1.020230+4-6.624750+0310027506 2182 1.021410+4-6.789190+0 1.022830+4-6.985860+0 1.024640+4-7.226210+0310027506 2183 1.026620+4-7.462770+0 1.028850+4-7.670720+0 1.032930+4-7.805050+0310027506 2184 1.037020+4-7.614140+0 1.040810+4-7.184450+0 1.044440+4-6.650880+0310027506 2185 1.049030+4-5.987330+0 1.053410+4-5.423020+0 1.059830+4-4.821210+0310027506 2186 1.071890+4-4.095120+0 1.082430+4-3.634840+0 1.100880+4-3.025660+0310027506 2187 1.128560+4-2.367490+0 1.156420+4-1.903070+0 1.198300+4-1.383790+0310027506 2188 1.219330+4-1.168680+0 1.264700+4-8.189500-1 1.291480+4-6.636310-1310027506 2189 1.345190+4-3.896170-1 1.369360+4-2.794620-1 1.396130+4-1.884370-1310027506 2190 1.443160+4-4.985830-2 1.474120+4 4.222670-2 1.487120+4 7.336600-2310027506 2191 1.510590+4 1.099160-1 1.592700+4 2.870810-1 1.628250+4 3.544090-1310027506 2192 1.648290+4 3.851520-1 1.662860+4 4.011740-1 1.671160+4 4.037500-1310027506 2193 1.705640+4 4.379530-1 1.754430+4 4.877770-1 1.766090+4 4.960170-1310027506 2194 1.796740+4 5.055680-1 1.863200+4 5.537640-1 1.914460+4 5.805820-1310027506 2195 1.954190+4 5.817980-1 2.064400+4 6.217670-1 2.259530+4 6.288340-1310027506 2196 2.462400+4 6.225680-1 2.635360+4 6.078040-1 3.018030+4 5.693080-1310027506 2197 3.190350+4 5.444060-1 3.458610+4 5.087860-1 3.755610+4 4.673590-1310027506 2198 4.000000+4 4.368580-1 4.350240+4 3.975110-1 4.718340+4 3.619800-1310027506 2199 5.109490+4 3.298610-1 5.500640+4 2.998840-1 5.868070+4 2.752970-1310027506 2200 6.416630+4 2.436840-1 6.930470+4 2.187050-1 7.447229+4 1.967380-1310027506 2201 7.858860+4 1.814410-1 8.285810+4 1.674430-1 8.959879+4 1.487610-1310027506 2202 9.556479+4 1.346610-1 1.025670+5 1.207340-1 1.099690+5 1.079400-1310027506 2203 1.173610+5 9.698870-2 1.264530+5 8.567170-2 1.376470+5 7.436380-2310027506 2204 1.482090+5 6.549510-2 1.602890+5 5.721080-2 1.740230+5 4.951190-2310027506 2205 1.836210+5 4.492190-2 1.935160+5 4.078250-2 2.051330+5 3.657620-2310027506 2206 2.211170+5 3.183060-2 2.395550+5 2.741400-2 2.580890+5 2.378680-2310027506 2207 2.752930+5 2.095700-2 2.903370+5 1.881720-2 3.109840+5 1.635870-2310027506 2208 3.311840+5 1.434070-2 3.542840+5 1.243250-2 3.899760+5 1.010450-2310027506 2209 4.129180+5 8.817620-3 4.410200+5 7.503730-3 4.642720+5 6.612130-3310027506 2210 5.031510+5 5.349150-3 5.477230+5 4.226220-3 5.841390+5 3.497400-3310027506 2211 6.501170+5 2.474510-3 7.162500+5 1.719760-3 7.798130+5 1.167240-3310027506 2212 8.486910+5 7.047660-4 9.101570+5 3.754100-4 1.000000+6 0.000000+0310027506 2213 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0310027506 2214 310027 0 2215 3100 0 0 2216 0 0 0 2217 3.200000+4 7.196650+1 -1 0 2 23200 1451 1 0.000000+0 0.000000+0 0 0 0 63200 1451 2 0.000000+0 0.000000+0 0 0 3 23200 1451 3 0.000000+0 0.000000+0 0 0 136 243200 1451 4 32-GE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3200 1451 6 ----JEF-2 MATERIAL 3200 REVISION 0 3200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3200 1451 8 ------ENDF-6 FORMAT 3200 1451 9 ******************************************************************3200 1451 10 * JEF-2 *3200 1451 11 * DATA TAKEN FROM EPDL *3200 1451 12 ******************************************************************3200 1451 13 =================================================================3200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3200 1451 15 ENDF/B-VI FORMAT 3200 1451 16 =================================================================3200 1451 17 CONTENTS 3200 1451 18 =================================================================3200 1451 19 MF/MT DESCRIPTION 3200 1451 20 =================================================================3200 1451 21 23/501 TOTAL CROSS SECTION 3200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 40 =================================================================3200 1451 41 27/502 COHERENT SCATTERING FORM FACTORS 3200 1451 42 27/504 INCOHERENT SCATTERING FUNCTIONS 3200 1451 43 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3200 1451 44 27/506 COHERENT REAL SCATTERING FACTOR 3200 1451 45 =================================================================3200 1451 46 WARNING 3200 1451 47 =================================================================3200 1451 48 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3200 1451 49 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3200 1451 50 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3200 1451 51 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3200 1451 52 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3200 1451 53 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3200 1451 54 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3200 1451 55 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3200 1451 56 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3200 1451 57 =================================================================3200 1451 58 DEFINITION OF NEW TYPES OF DATA 3200 1451 59 =================================================================3200 1451 60 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3200 1451 61 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3200 1451 62 3200 1451 63 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3200 1451 64 C2 FIELDS ARE, 3200 1451 65 3200 1451 66 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3200 1451 67 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3200 1451 68 3200 1451 69 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3200 1451 70 3200 1451 71 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3200 1451 72 3200 1451 73 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3200 1451 74 T = THE THOMSON CROSS SECTION 3200 1451 75 MU = THE COSINE OF THE SCATTERING ANGLE 3200 1451 76 FF(M) = THE ATOMIC FORM FACTOR 3200 1451 77 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3200 1451 78 F1(E) = THE REAL SCATTERING FACTOR 3200 1451 79 F2(E) = THE IMAGINARY SCATTERING FACTOR 3200 1451 80 3200 1451 81 F1(E) AND F2(E) ARE ISOTROPIC. 3200 1451 82 3200 1451 83 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3200 1451 84 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3200 1451 85 =================================================================3200 1451 86 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3200 1451 87 =================================================================3200 1451 88 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3200 1451 89 HERE - 10 EV TO 100 MEV 3200 1451 90 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3200 1451 91 - FLUORESCENCE AND ELECTRON SPECTRA 3200 1451 92 HERE - PHOTON INTERACTION 3200 1451 93 - AVERAGE FLUORESCENCE YIELD 3200 1451 94 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3200 1451 95 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3200 1451 96 HERE - NO SECONDARY ENERGY DATA 3200 1451 97 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3200 1451 98 INTERPOLABLE - SUMMATION CROSS SECTIONS 3200 1451 99 (E.G., TOTAL) ARE NOT INCLUDED 3200 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3200 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3200 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE3200 1451 103 (SINCE THEY CAN BE NEGATIVE). 3200 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3200 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 3200 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 3200 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 3200 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 3200 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3200 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE3200 1451 111 =================================================================3200 1451 112 REFERENCES 3200 1451 113 =================================================================3200 1451 114 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3200 1451 115 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3200 1451 116 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3200 1451 117 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3200 1451 118 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3200 1451 119 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3200 1451 120 3200 1451 121 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3200 1451 122 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3200 1451 123 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3200 1451 124 OF THE DATA, ETC. 3200 1451 125 =================================================================3200 1451 126 HISTORY 3200 1451 127 =================================================================3200 1451 128 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3200 1451 129 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3200 1451 130 CROSS SECTIONS. 3200 1451 131 =================================================================3200 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3200 1451 133 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3200 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3200 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3200 1451 136 *RECONSTRUCTED MT NUMBERS 3200 1451 137 516 =+(515,515)+(517,517) 3200 1451 138 522 =+(534,572) 3200 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3200 1451 140 1 451 164 13200 1451 141 23 501 424 13200 1451 142 23 502 107 13200 1451 143 23 504 30 13200 1451 144 23 515 30 13200 1451 145 23 516 58 13200 1451 146 23 517 41 13200 1451 147 23 522 280 23200 1451 148 23 534 42 23200 1451 149 23 535 50 23200 1451 150 23 536 59 23200 1451 151 23 537 60 23200 1451 152 23 538 55 23200 1451 153 23 539 65 23200 1451 154 23 540 65 23200 1451 155 23 541 82 23200 1451 156 23 542 82 23200 1451 157 23 543 75 23200 1451 158 23 544 75 23200 1451 159 23 545 75 23200 1451 160 27 502 52 13200 1451 161 27 504 45 13200 1451 162 27 505 86 13200 1451 163 27 506 86 13200 1451 164 3200 1 0 165 3200 0 0 166 3.200000+4 7.196650+1 0 0 0 0320023501 167 0.000000+0 0.000000+0 0 0 1 1261320023501 168 1261 2 0 0 0 0320023501 169 1.000000+1 1.634850+7 1.049780+1 1.441110+7 1.062610+1 1.397690+7320023501 170 1.129140+1 1.193410+7 1.132390+1 1.184990+7 1.154780+1 1.126990+7320023501 171 1.163950+1 1.103230+7 1.214500+1 9.864710+6 1.228160+1 9.576250+6320023501 172 1.274960+1 8.587960+6 1.281820+1 8.452290+6 1.333520+1 7.595660+6320023501 173 1.344150+1 7.419530+6 1.386130+1 6.723960+6 1.389860+1 6.668350+6320023501 174 1.427690+1 6.213800+6 1.452610+1 5.914360+6 1.462260+1 5.798410+6320023501 175 1.468690+1 5.721150+6 1.478000+1 5.609290+6 1.478000+1 6.059130+6320023501 176 1.483240+1 5.982420+6 1.488090+1 5.911410+6 1.493970+1 5.825320+6320023501 177 1.503830+1 5.680960+6 1.507000+1 5.634550+6 1.512470+1 5.564060+6320023501 178 1.526710+1 5.380580+6 1.546670+1 5.131790+6 1.565210+1 4.899820+6320023501 179 1.583980+1 4.672460+6 1.592920+1 4.565620+6 1.607230+1 4.394600+6320023501 180 1.617490+1 4.276150+6 1.630830+1 4.154510+6 1.638920+1 4.082250+6320023501 181 1.650710+1 3.976940+6 1.668300+1 3.824000+6 1.676060+1 3.757840+6320023501 182 1.683850+1 3.691420+6 1.688650+1 3.651090+6 1.697570+1 3.576140+6320023501 183 1.705650+1 3.509300+6 1.721860+1 3.398360+6 1.739930+1 3.276800+6320023501 184 1.740300+1 3.274310+6 1.754260+1 3.181380+6 1.774900+1 3.045250+6320023501 185 1.775410+1 3.042520+6 1.796820+1 2.929020+6 1.813440+1 2.841900+6320023501 186 1.828680+1 2.762490+6 1.838650+1 2.710540+6 1.864220+1 2.578080+6320023501 187 1.884090+1 2.475840+6 1.887770+1 2.461210+6 1.911620+1 2.366690+6320023501 188 1.946500+1 2.229220+6 1.955310+1 2.194500+6 2.000000+1 2.019130+6320023501 189 2.037970+1 1.893650+6 2.047760+1 1.861360+6 2.075050+1 1.771350+6320023501 190 2.103980+1 1.676080+6 2.123410+1 1.624110+6 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2.185500+1 9.271690+5 2.313730+1 7.512030+5320023545 1872 2.449490+1 6.086340+5 2.593950+1 4.901230+5 2.727320+1 4.055180+5320023545 1873 2.849630+1 3.435590+5 2.961150+1 2.971630+5 3.062300+1 2.617360+5320023545 1874 3.247700+1 2.095970+5 3.394080+1 1.774290+5 3.626110+1 1.381930+5320023545 1875 3.874000+1 1.076330+5 4.162340+1 8.452250+4 4.472140+1 6.637420+4320023545 1876 4.728710+1 5.670480+4 5.000000+1 4.844410+4 5.477230+1 3.941350+4320023545 1877 6.000000+1 3.364690+4 7.000000+1 2.842120+4 9.000000+1 2.456860+4320023545 1878 1.089830+2 2.206860+4 1.319700+2 1.982290+4 1.553320+2 1.748550+4320023545 1879 1.828300+2 1.542370+4 2.226250+2 1.268550+4 2.710810+2 1.043350+4320023545 1880 3.000000+2 9.250231+3 3.464100+2 7.596741+3 4.000000+2 6.238810+3320023545 1881 4.472140+2 5.255490+3 5.000000+2 4.427150+3 5.477230+2 3.804860+3320023545 1882 6.000000+2 3.270040+3 6.447420+2 2.863320+3 7.181880+2 2.346100+3320023545 1883 8.000000+2 1.922300+3 8.944270+2 1.537610+3 1.000000+3 1.229900+3320023545 1884 1.090080+3 1.018600+3 1.162930+3 8.843120+2 1.281430+3 7.153310+2320023545 1885 1.412000+3 5.786400+2 1.540400+3 4.700590+2 1.644310+3 4.022170+2320023545 1886 1.813450+3 3.183620+2 2.000000+3 2.519900+2 2.103980+3 2.208370+2320023545 1887 2.299120+3 1.752970+2 2.457260+3 1.474190+2 2.582970+3 1.294600+2320023545 1888 2.783680+3 1.065400+2 3.000000+3 8.767700+1 3.223710+3 7.183990+1320023545 1889 3.402370+3 6.186940+1 3.689100+3 4.944710+1 4.000000+3 3.951900+1320023545 1890 4.207960+3 3.406620+1 4.398770+3 2.991590+1 4.753750+3 2.383220+1320023545 1891 5.038660+3 2.009610+1 5.263490+3 1.768360+1 5.619690+3 1.459690+1320023545 1892 6.000000+3 1.204900+1 6.447420+3 9.653490+0 6.804750+3 8.174930+0320023545 1893 7.085681+3 7.216630+0 7.528971+3 5.985620+0 8.000000+3 4.964600+0320023545 1894 8.338050+3 4.346290+0 8.964371+3 3.443720+0 9.464790+3 2.892080+0320023545 1895 9.858361+3 2.537160+0 1.047960+4 2.084740+0 1.114000+4 1.713000+0320023545 1896 1.156210+4 1.509030+0 1.222540+4 1.247700+0 1.292670+4 1.031620+0320023545 1897 1.392480+4 8.109480-1 1.500000+4 6.374800-1 1.611850+4 4.984080-1320023545 1898 1.701190+4 4.144040-1 1.771420+4 3.608310-1 1.882240+4 2.931720-1320023545 1899 2.000000+4 2.382000-1 2.103980+4 1.992760-1 2.199390+4 1.704720-1320023545 1900 2.286410+4 1.487050-1 2.447070+4 1.170860-1 2.574930+4 9.786730-2320023545 1901 2.675180+4 8.555350-2 2.832940+4 6.992600-2 3.000000+4 5.715300-2320023545 1902 3.132820+4 4.882590-2 3.262680+4 4.212470-2 3.389300+4 3.668000-2320023545 1903 3.512470+4 3.221660-2 3.755610+4 2.525930-2 3.982120+4 2.041610-2320023545 1904 4.191490+4 1.694650-2 4.383710+4 1.439780-2 4.559110+4 1.248430-2320023545 1905 4.883130+4 9.726980-3 5.141160+4 8.066580-3 5.343600+4 7.010080-3320023545 1906 5.662300+4 5.679020-3 6.000000+4 4.600700-3 6.353640+4 3.729200-3320023545 1907 6.704080+4 3.062730-3 7.050160+4 2.546510-3 7.390810+4 2.141860-3320023545 1908 7.725110+4 1.821110-3 8.052229+4 1.564170-3 8.371479+4 1.356310-3320023545 1909 8.682260+4 1.186600-3 8.984090+4 1.046840-3 9.578579+4 8.276210-4320023545 1910 1.013090+5 6.738130-4 1.064030+5 5.628710-4 1.110700+5 4.808890-4320023545 1911 1.153210+5 4.190120-4 1.231560+5 3.292630-4 1.293790+5 2.748090-4320023545 1912 1.342520+5 2.399650-4 1.419080+5 1.958040-4 1.500000+5 1.597700-4320023545 1913 1.554920+5 1.406240-4 1.655920+5 1.124720-4 1.735950+5 9.512240-5320023545 1914 1.798500+5 8.389040-5 1.896570+5 6.947940-5 2.000000+5 5.754400-5320023545 1915 2.103980+5 4.848370-5 2.199390+5 4.173430-5 2.286410+5 3.660390-5320023545 1916 2.447070+5 2.909630-5 2.574930+5 2.449460-5 2.675180+5 2.152760-5320023545 1917 2.832940+5 1.773710-5 3.000000+5 1.461400-5 3.223710+5 1.166260-5320023545 1918 3.402370+5 9.847230-6 3.542840+5 8.673680-6 3.764490+5 7.170300-6320023545 1919 4.000000+5 5.927500-6 4.229490+5 5.039480-6 4.598630+5 3.950540-6320023545 1920 5.000000+5 3.096900-6 5.233180+5 2.737010-6 5.603490+5 2.274050-6320023545 1921 6.000000+5 1.889400-6 6.447420+5 1.582270-6 6.804750+5 1.385160-6320023545 1922 7.378210+5 1.134560-6 8.000000+5 9.293000-7 8.458970+5 8.215990-7320023545 1923 9.197270+5 6.829930-7 1.000000+6 5.677700-7 1.022000+6 5.428870-7320023545 1924 1.102170+6 4.672890-7 1.188630+6 4.022180-7 1.250000+6 3.656260-7320023545 1925 1.369310+6 3.097660-7 1.500000+6 2.624400-7 1.611850+6 2.323280-7320023545 1926 1.795470+6 1.935120-7 2.000000+6 1.611810-7 2.044000+6 1.556250-7320023545 1927 2.249780+6 1.345310-7 2.597950+6 1.081280-7 3.000000+6 8.690660-8320023545 1928 3.464100+6 7.117330-8 4.000000+6 5.828830-8 4.472140+6 5.035010-8320023545 1929 5.000000+6 4.349300-8 5.477230+6 3.876870-8 6.000000+6 3.455760-8320023545 1930 7.000000+6 2.860510-8 8.000000+6 2.437220-8 9.000000+6 2.121740-8320023545 1931 1.000000+7 1.877690-8 1.100000+7 1.683240-8 1.200000+7 1.525170-8320023545 1932 1.300000+7 1.393550-8 1.400000+7 1.283100-8 1.500000+7 1.188520-8320023545 1933 1.600000+7 1.107170-8 1.800000+7 9.729050-9 2.000000+7 8.677440-9320023545 1934 2.200000+7 7.830860-9 2.400000+7 7.136400-9 2.600000+7 6.553710-9320023545 1935 2.800000+7 6.058330-9 3.000000+7 5.632400-9 3.464100+7 4.844470-9320023545 1936 4.000000+7 4.166760-9 4.472140+7 3.711300-9 5.000000+7 3.305630-9320023545 1937 6.000000+7 2.739480-9 6.928200+7 2.364240-9 8.000000+7 2.040390-9320023545 1938 8.944271+7 1.820900-9 1.000000+8 1.625030-9 0.000000+0 0.000000+0320023545 1939 320023 0 1940 3200 0 0 1941 3.200000+4 7.196650+1 0 0 0 0320027502 1942 0.000000+0 3.200000+1 0 0 2 145320027502 1943 2 2 145 5 0 0320027502 1944 0.000000+0 3.200000+1 1.000000-3 3.200000+1 5.000000-3 3.198300+1320027502 1945 6.718700-3 3.197320+1 7.890600-3 3.196790+1 9.296900-3 3.196240+1320027502 1946 1.000000-2 3.196000+1 1.500000-2 3.193000+1 1.875000-2 3.189190+1320027502 1947 2.000000-2 3.187700+1 2.500000-2 3.180900+1 3.000000-2 3.172700+1320027502 1948 3.500000-2 3.162920+1 4.000000-2 3.152200+1 4.500000-2 3.140440+1320027502 1949 5.000000-2 3.127500+1 5.687500-2 3.107480+1 6.437500-2 3.083470+1320027502 1950 6.500000-2 3.081370+1 7.000000-2 3.064500+1 7.500000-2 3.046700+1320027502 1951 8.250000-2 3.018850+1 8.500000-2 3.009580+1 9.000000-2 2.990700+1320027502 1952 9.750000-2 2.961550+1 1.000000-1 2.951900+1 1.109400-1 2.907540+1320027502 1953 1.187500-1 2.874980+1 1.203100-1 2.868530+1 1.250000-1 2.849100+1320027502 1954 1.375000-1 2.796850+1 1.500000-1 2.746000+1 1.687500-1 2.671890+1320027502 1955 1.750000-1 2.647800+1 1.937500-1 2.575910+1 2.000000-1 2.552700+1320027502 1956 2.250000-1 2.462160+1 2.375000-1 2.418700+1 2.500000-1 2.376100+1320027502 1957 2.875000-1 2.252060+1 3.000000-1 2.211800+1 3.250000-1 2.131880+1320027502 1958 3.625000-1 2.014850+1 3.750000-1 1.976530+1 4.000000-1 1.901400+1320027502 1959 4.250000-1 1.827850+1 4.625000-1 1.721260+1 4.750000-1 1.686740+1320027502 1960 5.000000-1 1.619200+1 5.437500-1 1.506200+1 5.750000-1 1.430080+1320027502 1961 6.000000-1 1.372300+1 6.500000-1 1.264540+1 7.000000-1 1.168000+1320027502 1962 8.000000-1 1.007700+1 9.000000-1 8.867300+0 9.750000-1 8.169060+0320027502 1963 1.000000+0 7.968100+0 1.062500+0 7.524950+0 1.125000+0 7.150920+0320027502 1964 1.156300+0 6.984680+0 1.250000+0 6.555900+0 1.437500+0 5.908410+0320027502 1965 1.500000+0 5.727400+0 1.625000+0 5.386990+0 1.718800+0 5.138180+0320027502 1966 1.750000+0 5.055070+0 1.815400+0 4.880110+0 1.920900+0 4.592450+0320027502 1967 2.000000+0 4.373200+0 2.062500+0 4.198130+0 2.375000+0 3.432770+0320027502 1968 2.390600+0 3.402330+0 2.500000+0 3.210800+0 2.781300+0 2.834550+0320027502 1969 2.859400+0 2.729120+0 2.875000+0 2.707020+0 2.929700+0 2.627310+0320027502 1970 3.000000+0 2.517800+0 3.062500+0 2.414040+0 3.308600+0 2.029230+0320027502 1971 3.377000+0 1.944080+0 3.459000+0 1.859500+0 3.500000+0 1.824700+0320027502 1972 3.562500+0 1.781460+0 3.617200+0 1.751120+0 4.000000+0 1.611200+0320027502 1973 4.125000+0 1.557940+0 5.000000+0 1.184300+0 5.125000+0 1.151650+0320027502 1974 5.343800+0 1.106040+0 6.000000+0 1.003900+0 6.250000+0 9.646950-1320027502 1975 7.000000+0 8.526000-1 7.625000+0 7.762030-1 7.875000+0 7.461360-1320027502 1976 8.000000+0 7.307000-1 8.250000+0 6.987230-1 8.468800+0 6.701960-1320027502 1977 8.851600+0 6.205280-1 9.138700+0 5.844360-1 9.569300+0 5.333650-1320027502 1978 1.000000+1 4.868000-1 1.062500+1 4.275040-1 1.141100+1 3.647760-1320027502 1979 1.206900+1 3.204850-1 1.280200+1 2.783100-1 1.358700+1 2.400600-1320027502 1980 1.452900+1 2.018170-1 1.500000+1 1.853100-1 1.562500+1 1.656870-1320027502 1981 1.671900+1 1.367750-1 1.753900+1 1.189230-1 1.877000+1 9.701320-2320027502 1982 2.000000+1 7.978600-2 2.187500+1 6.010810-2 2.363300+1 4.680150-2320027502 1983 2.605300+1 3.389200-2 2.827400+1 2.570760-2 3.099000+1 1.875990-2320027502 1984 3.447500+1 1.293170-2 3.835600+1 8.864650-3 4.501000+1 4.997650-3320027502 1985 5.000000+1 3.419800-3 8.000000+1 6.239200-4 1.000000+2 2.793000-4320027502 1986 1.205000+2 1.438610-4 1.418200+2 8.113420-5 1.711700+2 4.219650-5320027502 1987 2.014900+2 2.408820-5 2.264400+2 1.618020-5 2.747900+2 8.415310-6320027502 1988 3.413600+2 4.076840-6 4.024500+2 2.365040-6 4.771400+2 1.352840-6320027502 1989 5.730000+2 7.454640-7 7.255000+2 3.480840-7 9.085000+2 1.694890-7320027502 1990 1.000000+3 1.248800-7 1.342800+3 4.915740-8 1.774400+3 2.050830-8320027502 1991 2.633300+3 6.015100-9 3.757200+3 2.015450-9 6.611900+3 3.61198-10320027502 1992 8.872031+3 1.49625-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0320027502 1993 320027 0 1994 3.200000+4 7.196650+1 0 0 0 0320027504 1995 0.000000+0 3.200000+1 0 0 2 125320027504 1996 2 2 125 5 0 0320027504 1997 0.000000+0 0.000000+0 1.000000-3 4.901890-4 5.000000-3 1.100000-2320027504 1998 6.718700-3 1.933150-2 7.890600-3 2.636430-2 9.296900-3 3.634560-2320027504 1999 1.000000-2 4.200000-2 1.500000-2 9.490000-2 1.875000-2 1.472790-1320027504 2000 2.000000-2 1.671000-1 2.500000-2 2.582000-1 3.000000-2 3.667000-1320027504 2001 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1.441840+1 5.750000-1 1.501990+1320027504 2014 6.000000-1 1.548600+1 6.500000-1 1.637580+1 7.000000-1 1.721500+1320027504 2015 8.000000-1 1.874100+1 9.000000-1 2.007400+1 9.750000-1 2.095250+1320027504 2016 1.000000+0 2.122400+1 1.062500+0 2.185550+1 1.125000+0 2.242960+1320027504 2017 1.156300+0 2.269730+1 1.250000+0 2.343000+1 1.437500+0 2.463730+1320027504 2018 1.500000+0 2.498300+1 1.625000+0 2.560950+1 1.718800+0 2.603340+1320027504 2019 1.750000+0 2.616560+1 1.815400+0 2.643200+1 1.920900+0 2.683070+1320027504 2020 2.000000+0 2.710900+1 2.062500+0 2.731290+1 2.375000+0 2.819760+1320027504 2021 2.390600+0 2.823600+1 2.500000+0 2.849200+1 2.781300+0 2.903610+1320027504 2022 2.859400+0 2.916720+1 2.875000+0 2.919090+1 2.929700+0 2.927320+1320027504 2023 3.000000+0 2.937700+1 3.062500+0 2.946050+1 3.308600+0 2.975560+1320027504 2024 3.377000+0 2.982540+1 3.459000+0 2.990690+1 3.500000+0 2.994700+1320027504 2025 3.562500+0 3.000140+1 3.617200+0 3.004820+1 4.000000+0 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1.178140+3-1.944150+1320027506 2155 1.193980+3-2.116500+1 1.199920+3-2.210890+1 1.203780+3-2.286030+1320027506 2156 1.207350+3-2.366610+1 1.210240+3-2.436780+1 1.213170+3-2.508110+1320027506 2157 1.215740+3-2.564280+1 1.218730+3-2.615940+1 1.224540+3-2.664930+1320027506 2158 1.228620+3-2.664090+1 1.232520+3-2.640250+1 1.237070+3-2.594560+1320027506 2159 1.241200+3-2.557330+1 1.247520+3-2.511940+1 1.257750+3-2.405150+1320027506 2160 1.266690+3-2.260430+1 1.275740+3-2.106740+1 1.286750+3-1.948550+1320027506 2161 1.300820+3-1.810930+1 1.320460+3-1.665960+1 1.355130+3-1.486680+1320027506 2162 1.376740+3-1.436150+1 1.390810+3-1.444500+1 1.401410+3-1.432680+1320027506 2163 1.407440+3-1.401130+1 1.419290+3-1.298590+1 1.432220+3-1.196710+1320027506 2164 1.447140+3-1.112730+1 1.480890+3-9.768130+0 1.518360+3-8.538000+0320027506 2165 1.554920+3-7.599360+0 1.593780+3-6.766390+0 1.658600+3-5.611210+0320027506 2166 1.701190+3-5.029970+0 1.771670+3-4.218340+0 1.833210+3-3.609550+0320027506 2167 1.873560+3-3.318430+0 2.005280+3-2.458260+0 2.108330+3-1.966340+0320027506 2168 2.174680+3-1.717360+0 2.254720+3-1.453440+0 2.327830+3-1.245990+0320027506 2169 2.406230+3-1.105890+0 2.558350+3-8.753540-1 2.638790+3-7.800300-1320027506 2170 2.783680+3-6.453620-1 2.889820+3-5.775730-1 3.056200+3-4.929870-1320027506 2171 3.186160+3-4.391400-1 3.268900+3-4.260940-1 3.422590+3-4.160500-1320027506 2172 3.513240+3-4.155000-1 3.550980+3-4.192140-1 3.678280+3-4.454160-1320027506 2173 3.934300+3-4.767650-1 4.028580+3-4.986900-1 4.404460+3-5.922750-1320027506 2174 4.681480+3-6.558050-1 5.020360+3-7.628680-1 5.263490+3-8.399990-1320027506 2175 5.669070+3-9.713570-1 6.219690+3-1.148170+0 6.725750+3-1.334140+0320027506 2176 7.335260+3-1.545070+0 7.771391+3-1.723030+0 8.202220+3-1.900770+0320027506 2177 8.735201+3-2.168820+0 9.246991+3-2.497210+0 9.561691+3-2.744760+0320027506 2178 1.009300+4-3.335840+0 1.035870+4-3.786360+0 1.064830+4-4.573660+0320027506 2179 1.075370+4-5.047420+0 1.081560+4-5.444000+0 1.084530+4-5.688880+0320027506 2180 1.086530+4-5.878190+0 1.088350+4-6.070160+0 1.089480+4-6.197450+0320027506 2181 1.091540+4-6.445610+0 1.092910+4-6.619540+0 1.094180+4-6.784120+0320027506 2182 1.095700+4-6.980940+0 1.097630+4-7.221330+0 1.099760+4-7.457670+0320027506 2183 1.102140+4-7.663820+0 1.106970+4-7.795520+0 1.111800+4-7.540620+0320027506 2184 1.116270+4-7.018190+0 1.120550+4-6.417470+0 1.125970+4-5.722610+0320027506 2185 1.131140+4-5.171350+0 1.140830+4-4.461310+0 1.157790+4-3.672070+0320027506 2186 1.170500+4-3.243050+0 1.189580+4-2.742940+0 1.208650+4-2.366900+0320027506 2187 1.253750+4-1.703050+0 1.276300+4-1.444120+0 1.298850+4-1.240220+0320027506 2188 1.350900+4-8.495460-1 1.376930+4-6.836500-1 1.406120+4-5.426330-1320027506 2189 1.470970+4-2.607190-1 1.505470+4-1.288450-1 1.521970+4-7.476680-2320027506 2190 1.607320+4 1.352130-1 1.641490+4 2.147620-1 1.658580+4 2.479270-1320027506 2191 1.671390+4 2.671420-1 1.683570+4 2.777180-1 1.713990+4 3.227810-1320027506 2192 1.760290+4 3.924880-1 1.794340+4 4.299870-1 1.809610+4 4.355930-1320027506 2193 1.892960+4 5.067690-1 1.916920+4 5.172410-1 1.941190+4 5.231140-1320027506 2194 2.055390+4 5.865690-1 2.089030+4 5.896040-1 2.107570+4 5.890900-1320027506 2195 2.235110+4 6.251990-1 2.451390+4 6.275350-1 2.645020+4 6.197590-1320027506 2196 2.804990+4 6.046310-1 3.147520+4 5.804000-1 3.398440+4 5.502360-1320027506 2197 3.627750+4 5.194560-1 3.905660+4 4.820900-1 4.191490+4 4.472840-1320027506 2198 4.470550+4 4.164370-1 4.822750+4 3.833040-1 5.290050+4 3.442100-1320027506 2199 5.675000+4 3.154690-1 6.135290+4 2.843230-1 6.564510+4 2.587980-1320027506 2200 7.050160+4 2.343650-1 7.556110+4 2.117920-1 8.058260+4 1.925980-1320027506 2201 8.761390+4 1.701570-1 9.403360+4 1.528370-1 1.025670+5 1.340190-1320027506 2202 1.100340+5 1.199190-1 1.173610+5 1.080200-1 1.264020+5 9.554630-2320027506 2203 1.380270+5 8.259020-2 1.469820+5 7.411090-2 1.603000+5 6.393830-2320027506 2204 1.736130+5 5.561470-2 1.811730+5 5.142050-2 1.935160+5 4.565410-2320027506 2205 2.051330+5 4.096120-2 2.211170+5 3.566770-2 2.395550+5 3.073820-2320027506 2206 2.580890+5 2.668690-2 2.752930+5 2.352000-2 2.915270+5 2.096700-2320027506 2207 3.109840+5 1.837260-2 3.311840+5 1.611900-2 3.542840+5 1.396740-2320027506 2208 3.899760+5 1.136020-2 4.129180+5 9.948270-3 4.410200+5 8.468460-3320027506 2209 4.642720+5 7.460450-3 5.013840+5 6.088090-3 5.477230+5 4.769010-3320027506 2210 5.841390+5 3.948010-3 6.500650+5 2.794210-3 7.160180+5 1.943270-3320027506 2211 7.798130+5 1.317530-3 8.486900+5 7.964070-4 9.101570+5 4.241210-4320027506 2212 9.255270+5 3.504370-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0320027506 2213 320027 0 2214 3200 0 0 2215 0 0 0 2216 3.300000+4 7.427800+1 -1 0 2 23300 1451 1 0.000000+0 0.000000+0 0 0 0 63300 1451 2 0.000000+0 0.000000+0 0 0 3 23300 1451 3 0.000000+0 0.000000+0 0 0 136 243300 1451 4 33-AS LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3300 1451 6 ----JEF-2 MATERIAL 3300 REVISION 0 3300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3300 1451 8 ------ENDF-6 FORMAT 3300 1451 9 ******************************************************************3300 1451 10 * JEF-2 *3300 1451 11 * DATA TAKEN FROM EPDL *3300 1451 12 ******************************************************************3300 1451 13 =================================================================3300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3300 1451 15 ENDF/B-VI FORMAT 3300 1451 16 =================================================================3300 1451 17 CONTENTS 3300 1451 18 =================================================================3300 1451 19 MF/MT DESCRIPTION 3300 1451 20 =================================================================3300 1451 21 23/501 TOTAL CROSS SECTION 3300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 40 =================================================================3300 1451 41 27/502 COHERENT SCATTERING FORM FACTORS 3300 1451 42 27/504 INCOHERENT SCATTERING FUNCTIONS 3300 1451 43 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3300 1451 44 27/506 COHERENT REAL SCATTERING FACTOR 3300 1451 45 =================================================================3300 1451 46 WARNING 3300 1451 47 =================================================================3300 1451 48 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3300 1451 49 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3300 1451 50 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3300 1451 51 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3300 1451 52 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3300 1451 53 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3300 1451 54 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3300 1451 55 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3300 1451 56 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3300 1451 57 =================================================================3300 1451 58 DEFINITION OF NEW TYPES OF DATA 3300 1451 59 =================================================================3300 1451 60 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3300 1451 61 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3300 1451 62 3300 1451 63 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3300 1451 64 C2 FIELDS ARE, 3300 1451 65 3300 1451 66 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3300 1451 67 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3300 1451 68 3300 1451 69 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3300 1451 70 3300 1451 71 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3300 1451 72 3300 1451 73 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3300 1451 74 T = THE THOMSON CROSS SECTION 3300 1451 75 MU = THE COSINE OF THE SCATTERING ANGLE 3300 1451 76 FF(M) = THE ATOMIC FORM FACTOR 3300 1451 77 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3300 1451 78 F1(E) = THE REAL SCATTERING FACTOR 3300 1451 79 F2(E) = THE IMAGINARY SCATTERING FACTOR 3300 1451 80 3300 1451 81 F1(E) AND F2(E) ARE ISOTROPIC. 3300 1451 82 3300 1451 83 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3300 1451 84 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3300 1451 85 =================================================================3300 1451 86 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3300 1451 87 =================================================================3300 1451 88 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3300 1451 89 HERE - 10 EV TO 100 MEV 3300 1451 90 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3300 1451 91 - FLUORESCENCE AND ELECTRON SPECTRA 3300 1451 92 HERE - PHOTON INTERACTION 3300 1451 93 - AVERAGE FLUORESCENCE YIELD 3300 1451 94 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3300 1451 95 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3300 1451 96 HERE - NO SECONDARY ENERGY DATA 3300 1451 97 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3300 1451 98 INTERPOLABLE - SUMMATION CROSS SECTIONS 3300 1451 99 (E.G., TOTAL) ARE NOT INCLUDED 3300 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3300 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3300 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE3300 1451 103 (SINCE THEY CAN BE NEGATIVE). 3300 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3300 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 3300 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 3300 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 3300 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 3300 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3300 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE3300 1451 111 =================================================================3300 1451 112 REFERENCES 3300 1451 113 =================================================================3300 1451 114 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3300 1451 115 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3300 1451 116 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3300 1451 117 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3300 1451 118 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3300 1451 119 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3300 1451 120 3300 1451 121 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3300 1451 122 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3300 1451 123 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3300 1451 124 OF THE DATA, ETC. 3300 1451 125 =================================================================3300 1451 126 HISTORY 3300 1451 127 =================================================================3300 1451 128 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3300 1451 129 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3300 1451 130 CROSS SECTIONS. 3300 1451 131 =================================================================3300 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3300 1451 133 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3300 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3300 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3300 1451 136 *RECONSTRUCTED MT NUMBERS 3300 1451 137 516 =+(515,515)+(517,517) 3300 1451 138 522 =+(534,572) 3300 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3300 1451 140 1 451 164 13300 1451 141 23 501 415 13300 1451 142 23 502 105 13300 1451 143 23 504 31 13300 1451 144 23 515 30 13300 1451 145 23 516 58 13300 1451 146 23 517 41 13300 1451 147 23 522 274 23300 1451 148 23 534 42 23300 1451 149 23 535 49 23300 1451 150 23 536 59 23300 1451 151 23 537 60 23300 1451 152 23 538 54 23300 1451 153 23 539 64 23300 1451 154 23 540 65 23300 1451 155 23 541 82 23300 1451 156 23 542 81 23300 1451 157 23 543 69 23300 1451 158 23 544 76 23300 1451 159 23 545 76 23300 1451 160 27 502 52 13300 1451 161 27 504 45 13300 1451 162 27 505 84 13300 1451 163 27 506 84 13300 1451 164 3300 1 0 165 3300 0 0 166 3.300000+4 7.427800+1 0 0 0 0330023501 167 0.000000+0 0.000000+0 0 0 1 1236330023501 168 1236 2 0 0 0 0330023501 169 1.000000+1 3.821040+7 1.106680+1 3.169370+7 1.119040+1 3.102170+7330023501 170 1.140420+1 2.978370+7 1.154780+1 2.895210+7 1.224740+1 2.490100+7330023501 171 1.226240+1 2.481770+7 1.321480+1 2.027860+7 1.321580+1 2.027420+7330023501 172 1.326860+1 2.004170+7 1.410780+1 1.674840+7 1.412700+1 1.668500+7330023501 173 1.425870+1 1.624960+7 1.499770+1 1.389020+7 1.500000+1 1.388290+7330023501 174 1.535920+1 1.286590+7 1.566230+1 1.200770+7 1.574730+1 1.178470+7330023501 175 1.633210+1 1.043430+7 1.644890+1 1.019680+7 1.671110+1 9.663700+6330023501 176 1.688590+1 9.342130+6 1.725020+1 8.671940+6 1.755320+1 8.195280+6330023501 177 1.771310+1 7.943730+6 1.783000+1 7.759830+6 1.786000+1 7.715700+6330023501 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1.318110+3-2.545200+1 1.320470+3-2.593800+1 1.323230+3-2.640240+1330027506 2131 1.329680+3-2.688260+1 1.334670+3-2.677480+1 1.339610+3-2.634490+1330027506 2132 1.344570+3-2.577570+1 1.360080+3-2.468520+1 1.371620+3-2.355170+1330027506 2133 1.376820+3-2.276990+1 1.381700+3-2.193710+1 1.393980+3-2.001540+1330027506 2134 1.405120+3-1.870880+1 1.426210+3-1.695900+1 1.458960+3-1.509960+1330027506 2135 1.487800+3-1.421410+1 1.504090+3-1.428210+1 1.512950+3-1.431920+1330027506 2136 1.523570+3-1.394640+1 1.535330+3-1.306380+1 1.548070+3-1.209060+1330027506 2137 1.564010+3-1.118820+1 1.589350+3-1.008770+1 1.627090+3-8.832550+0330027506 2138 1.674510+3-7.698910+0 1.743100+3-6.374360+0 1.773060+3-5.907490+0330027506 2139 1.848010+3-4.986940+0 1.905110+3-4.349380+0 1.986650+3-3.658520+0330027506 2140 2.064540+3-3.069670+0 2.142420+3-2.639110+0 2.215080+3-2.289710+0330027506 2141 2.262530+3-2.105650+0 2.327770+3-1.838630+0 2.427590+3-1.483550+0330027506 2142 2.466070+3-1.376950+0 2.603890+3-1.075940+0 2.676670+3-9.509190-1330027506 2143 2.799720+3-7.964260-1 2.889820+3-7.131140-1 3.000000+3-6.230630-1330027506 2144 3.109840+3-5.562350-1 3.365770+3-4.675250-1 3.485220+3-4.326100-1330027506 2145 3.693770+3-4.186480-1 3.723630+3-4.150630-1 3.868160+3-4.126230-1330027506 2146 4.008360+3-4.183360-1 4.146130+3-4.475450-1 4.386790+3-4.919250-1330027506 2147 4.531960+3-5.313500-1 4.827480+3-5.948960-1 4.973800+3-6.343220-1330027506 2148 5.351910+3-7.369600-1 5.619690+3-8.230780-1 6.000000+3-9.361230-1330027506 2149 6.569310+3-1.099410+0 7.178090+3-1.313570+0 7.771340+3-1.503360+0330027506 2150 8.592981+3-1.811250+0 9.172710+3-2.079320+0 9.432071+3-2.211890+0330027506 2151 9.841350+3-2.453040+0 1.025150+4-2.767320+0 1.081550+4-3.371550+0330027506 2152 1.107190+4-3.778410+0 1.138150+4-4.567650+0 1.149420+4-5.042100+0330027506 2153 1.156020+4-5.438970+0 1.159210+4-5.683990+0 1.162060+4-5.942330+0330027506 2154 1.163290+4-6.065510+0 1.164500+4-6.192860+0 1.165630+4-6.318370+0330027506 2155 1.166690+4-6.441170+0 1.168160+4-6.615240+0 1.169520+4-6.779970+0330027506 2156 1.171140+4-6.977000+0 1.173210+4-7.217810+0 1.175480+4-7.454920+0330027506 2157 1.178030+4-7.663770+0 1.182560+4-7.798830+0 1.187090+4-7.626680+0330027506 2158 1.191290+4-7.225120+0 1.195310+4-6.713880+0 1.200400+4-6.062960+0330027506 2159 1.205250+4-5.495320+0 1.214570+4-4.744310+0 1.223310+4-4.272790+0330027506 2160 1.239690+4-3.623920+0 1.254030+4-3.193420+0 1.279110+4-2.611190+0330027506 2161 1.317470+4-1.967100+0 1.335560+4-1.732650+0 1.354370+4-1.540130+0330027506 2162 1.415940+4-1.018020+0 1.446730+4-8.045680-1 1.477510+4-6.423980-1330027506 2163 1.544680+4-3.388670-1 1.595060+4-1.449810-1 1.645850+4-8.601240-3330027506 2164 1.677700+4 7.824620-2 1.710630+4 1.578110-1 1.735950+4 2.043020-1330027506 2165 1.751410+4 2.193680-1 1.825990+4 3.360060-1 1.854010+4 3.707210-1330027506 2166 1.868360+4 3.811330-1 1.877940+4 3.844040-1 1.979610+4 4.848930-1330027506 2167 2.012920+4 5.108270-1 2.051330+4 5.193370-1 2.148480+4 5.704610-1330027506 2168 2.235120+4 5.847760-1 2.328390+4 6.140010-1 2.415510+4 6.130890-1330027506 2169 2.535230+4 6.315510-1 2.860810+4 6.246440-1 3.132820+4 6.087260-1330027506 2170 3.381560+4 5.831770-1 3.632000+4 5.508250-1 3.905660+4 5.144770-1330027506 2171 4.191490+4 4.799530-1 4.486890+4 4.467300-1 4.822750+4 4.139850-1330027506 2172 5.290050+4 3.735260-1 5.706790+4 3.411920-1 6.176950+4 3.072370-1330027506 2173 6.576800+4 2.821160-1 7.050160+4 2.564670-1 7.556110+4 2.321400-1330027506 2174 8.525450+4 1.945800-1 9.318310+4 1.708010-1 1.017720+5 1.498030-1330027506 2175 1.132640+5 1.267720-1 1.229020+5 1.113150-1 1.312290+5 9.980960-2330027506 2176 1.399390+5 8.961380-2 1.502750+5 7.936750-2 1.607080+5 7.070000-2330027506 2177 1.736130+5 6.180630-2 1.896570+5 5.291300-2 2.016210+5 4.725940-2330027506 2178 2.151150+5 4.191820-2 2.286410+5 3.739590-2 2.457200+5 3.268750-2330027506 2179 2.668810+5 2.795190-2 2.851740+5 2.452530-2 3.003880+5 2.203020-2330027506 2180 3.402370+5 1.703510-2 3.689100+5 1.435840-2 4.004150+5 1.195660-2330027506 2181 4.613000+5 8.576670-3 5.054080+5 6.764790-3 5.524000+5 5.280850-3330027506 2182 5.841390+5 4.471730-3 6.501170+5 3.163940-3 7.160090+5 2.201130-3330027506 2183 7.798130+5 1.492610-3 8.465560+5 9.167700-4 9.101570+5 4.804160-4330027506 2184 9.197270+5 4.278490-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0330027506 2185 330027 0 2186 3300 0 0 2187 0 0 0 2188 3.400000+4 7.828170+1 -1 0 2 23400 1451 1 0.000000+0 0.000000+0 0 0 0 63400 1451 2 0.000000+0 0.000000+0 0 0 3 23400 1451 3 0.000000+0 0.000000+0 0 0 136 243400 1451 4 34-SE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3400 1451 6 ----JEF-2 MATERIAL 3400 REVISION 0 3400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3400 1451 8 ------ENDF-6 FORMAT 3400 1451 9 ******************************************************************3400 1451 10 * JEF-2 *3400 1451 11 * DATA TAKEN FROM EPDL *3400 1451 12 ******************************************************************3400 1451 13 =================================================================3400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3400 1451 15 ENDF/B-VI FORMAT 3400 1451 16 =================================================================3400 1451 17 CONTENTS 3400 1451 18 =================================================================3400 1451 19 MF/MT DESCRIPTION 3400 1451 20 =================================================================3400 1451 21 23/501 TOTAL CROSS SECTION 3400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 40 =================================================================3400 1451 41 27/502 COHERENT SCATTERING FORM FACTORS 3400 1451 42 27/504 INCOHERENT SCATTERING FUNCTIONS 3400 1451 43 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3400 1451 44 27/506 COHERENT REAL SCATTERING FACTOR 3400 1451 45 =================================================================3400 1451 46 WARNING 3400 1451 47 =================================================================3400 1451 48 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3400 1451 49 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3400 1451 50 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3400 1451 51 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3400 1451 52 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3400 1451 53 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3400 1451 54 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3400 1451 55 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3400 1451 56 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3400 1451 57 =================================================================3400 1451 58 DEFINITION OF NEW TYPES OF DATA 3400 1451 59 =================================================================3400 1451 60 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3400 1451 61 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3400 1451 62 3400 1451 63 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3400 1451 64 C2 FIELDS ARE, 3400 1451 65 3400 1451 66 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3400 1451 67 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3400 1451 68 3400 1451 69 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3400 1451 70 3400 1451 71 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3400 1451 72 3400 1451 73 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3400 1451 74 T = THE THOMSON CROSS SECTION 3400 1451 75 MU = THE COSINE OF THE SCATTERING ANGLE 3400 1451 76 FF(M) = THE ATOMIC FORM FACTOR 3400 1451 77 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3400 1451 78 F1(E) = THE REAL SCATTERING FACTOR 3400 1451 79 F2(E) = THE IMAGINARY SCATTERING FACTOR 3400 1451 80 3400 1451 81 F1(E) AND F2(E) ARE ISOTROPIC. 3400 1451 82 3400 1451 83 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3400 1451 84 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3400 1451 85 =================================================================3400 1451 86 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3400 1451 87 =================================================================3400 1451 88 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3400 1451 89 HERE - 10 EV TO 100 MEV 3400 1451 90 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3400 1451 91 - FLUORESCENCE AND ELECTRON SPECTRA 3400 1451 92 HERE - PHOTON INTERACTION 3400 1451 93 - AVERAGE FLUORESCENCE YIELD 3400 1451 94 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3400 1451 95 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3400 1451 96 HERE - NO SECONDARY ENERGY DATA 3400 1451 97 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3400 1451 98 INTERPOLABLE - SUMMATION CROSS SECTIONS 3400 1451 99 (E.G., TOTAL) ARE NOT INCLUDED 3400 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3400 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3400 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE3400 1451 103 (SINCE THEY CAN BE NEGATIVE). 3400 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3400 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 3400 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 3400 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 3400 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 3400 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3400 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE3400 1451 111 =================================================================3400 1451 112 REFERENCES 3400 1451 113 =================================================================3400 1451 114 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3400 1451 115 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3400 1451 116 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3400 1451 117 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3400 1451 118 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3400 1451 119 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3400 1451 120 3400 1451 121 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3400 1451 122 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3400 1451 123 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3400 1451 124 OF THE DATA, ETC. 3400 1451 125 =================================================================3400 1451 126 HISTORY 3400 1451 127 =================================================================3400 1451 128 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3400 1451 129 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3400 1451 130 CROSS SECTIONS. 3400 1451 131 =================================================================3400 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3400 1451 133 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3400 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3400 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3400 1451 136 *RECONSTRUCTED MT NUMBERS 3400 1451 137 516 =+(515,515)+(517,517) 3400 1451 138 522 =+(534,572) 3400 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3400 1451 140 1 451 164 13400 1451 141 23 501 434 13400 1451 142 23 502 106 13400 1451 143 23 504 31 13400 1451 144 23 515 30 13400 1451 145 23 516 58 13400 1451 146 23 517 41 13400 1451 147 23 522 292 23400 1451 148 23 534 41 23400 1451 149 23 535 49 23400 1451 150 23 536 58 23400 1451 151 23 537 59 23400 1451 152 23 538 55 23400 1451 153 23 539 64 23400 1451 154 23 540 66 23400 1451 155 23 541 80 23400 1451 156 23 542 80 23400 1451 157 23 543 64 23400 1451 158 23 544 76 23400 1451 159 23 545 77 23400 1451 160 27 502 52 13400 1451 161 27 504 46 13400 1451 162 27 505 84 13400 1451 163 27 506 84 13400 1451 164 3400 1 0 165 3400 0 0 166 3.400000+4 7.828170+1 0 0 0 0340023501 167 0.000000+0 0.000000+0 0 0 1 1292340023501 168 1292 2 0 0 0 0340023501 169 1.000000+1 6.021910+7 1.017610+1 5.967670+7 1.068980+1 5.809460+7340023501 170 1.069970+1 5.804360+7 1.101380+1 5.642430+7 1.144640+1 5.374320+7340023501 171 1.145590+1 5.368020+7 1.154780+1 5.307080+7 1.189800+1 5.074870+7340023501 172 1.236950+1 4.741100+7 1.266960+1 4.528660+7 1.292440+1 4.345100+7340023501 173 1.333520+1 4.047950+7 1.381760+1 3.699010+7 1.406670+1 3.528620+7340023501 174 1.427350+1 3.387170+7 1.485770+1 2.999720+7 1.500000+1 2.919950+7340023501 175 1.512470+1 2.852200+7 1.568880+1 2.545740+7 1.597430+1 2.408170+7340023501 176 1.614090+1 2.335210+7 1.634250+1 2.246920+7 1.688650+1 2.037870+7340023501 177 1.701190+1 1.989690+7 1.737450+1 1.855300+7 1.792090+1 1.680980+7340023501 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340027 0 2000 3.400000+4 7.828170+1 0 0 0 0340027504 2001 0.000000+0 3.400000+1 0 0 2 127340027504 2002 2 2 127 5 0 0340027504 2003 0.000000+0 0.000000+0 1.000000-3 4.505930-4 5.000000-3 1.000000-2340027504 2004 6.718700-3 1.753090-2 7.890600-3 2.388180-2 9.296900-3 3.289320-2340027504 2005 1.000000-2 3.800000-2 1.500000-2 8.590000-2 1.875000-2 1.336160-1340027504 2006 2.000000-2 1.517000-1 2.500000-2 2.350000-1 3.000000-2 3.350000-1340027504 2007 3.750000-2 5.138290-1 4.000000-2 5.806000-1 4.750000-2 7.999630-1340027504 2008 5.000000-2 8.790000-1 5.500000-2 1.044520+0 6.250000-2 1.309390+0340027504 2009 6.500000-2 1.401450+0 7.000000-2 1.590400+0 7.875000-2 1.932940+0340027504 2010 8.500000-2 2.184530+0 8.625000-2 2.235170+0 9.000000-2 2.388300+0340027504 2011 1.000000-1 2.799000+0 1.109400-1 3.247790+0 1.187500-1 3.565760+0340027504 2012 1.203100-1 3.628640+0 1.250000-1 3.817500+0 1.375000-1 4.312190+0340027504 2013 1.437500-1 4.554420+0 1.500000-1 4.794000+0 1.687500-1 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1451 1 0.000000+0 0.000000+0 0 0 0 63500 1451 2 0.000000+0 0.000000+0 0 0 3 23500 1451 3 0.000000+0 0.000000+0 0 0 136 243500 1451 4 35-BR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3500 1451 6 ----JEF-2 MATERIAL 3500 REVISION 0 3500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3500 1451 8 ------ENDF-6 FORMAT 3500 1451 9 ******************************************************************3500 1451 10 * JEF-2 *3500 1451 11 * DATA TAKEN FROM EPDL *3500 1451 12 ******************************************************************3500 1451 13 =================================================================3500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3500 1451 15 ENDF/B-VI FORMAT 3500 1451 16 =================================================================3500 1451 17 CONTENTS 3500 1451 18 =================================================================3500 1451 19 MF/MT DESCRIPTION 3500 1451 20 =================================================================3500 1451 21 23/501 TOTAL CROSS SECTION 3500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 40 =================================================================3500 1451 41 27/502 COHERENT SCATTERING FORM FACTORS 3500 1451 42 27/504 INCOHERENT SCATTERING FUNCTIONS 3500 1451 43 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3500 1451 44 27/506 COHERENT REAL SCATTERING FACTOR 3500 1451 45 =================================================================3500 1451 46 WARNING 3500 1451 47 =================================================================3500 1451 48 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3500 1451 49 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3500 1451 50 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3500 1451 51 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3500 1451 52 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3500 1451 53 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3500 1451 54 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3500 1451 55 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3500 1451 56 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3500 1451 57 =================================================================3500 1451 58 DEFINITION OF NEW TYPES OF DATA 3500 1451 59 =================================================================3500 1451 60 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3500 1451 61 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3500 1451 62 3500 1451 63 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3500 1451 64 C2 FIELDS ARE, 3500 1451 65 3500 1451 66 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3500 1451 67 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3500 1451 68 3500 1451 69 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3500 1451 70 3500 1451 71 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3500 1451 72 3500 1451 73 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3500 1451 74 T = THE THOMSON CROSS SECTION 3500 1451 75 MU = THE COSINE OF THE SCATTERING ANGLE 3500 1451 76 FF(M) = THE ATOMIC FORM FACTOR 3500 1451 77 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3500 1451 78 F1(E) = THE REAL SCATTERING FACTOR 3500 1451 79 F2(E) = THE IMAGINARY SCATTERING FACTOR 3500 1451 80 3500 1451 81 F1(E) AND F2(E) ARE ISOTROPIC. 3500 1451 82 3500 1451 83 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3500 1451 84 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3500 1451 85 =================================================================3500 1451 86 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3500 1451 87 =================================================================3500 1451 88 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3500 1451 89 HERE - 10 EV TO 100 MEV 3500 1451 90 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3500 1451 91 - FLUORESCENCE AND ELECTRON SPECTRA 3500 1451 92 HERE - PHOTON INTERACTION 3500 1451 93 - AVERAGE FLUORESCENCE YIELD 3500 1451 94 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3500 1451 95 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3500 1451 96 HERE - NO SECONDARY ENERGY DATA 3500 1451 97 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3500 1451 98 INTERPOLABLE - SUMMATION CROSS SECTIONS 3500 1451 99 (E.G., TOTAL) ARE NOT INCLUDED 3500 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3500 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3500 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE3500 1451 103 (SINCE THEY CAN BE NEGATIVE). 3500 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3500 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 3500 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 3500 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 3500 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 3500 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3500 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE3500 1451 111 =================================================================3500 1451 112 REFERENCES 3500 1451 113 =================================================================3500 1451 114 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3500 1451 115 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3500 1451 116 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3500 1451 117 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3500 1451 118 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3500 1451 119 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3500 1451 120 3500 1451 121 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3500 1451 122 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3500 1451 123 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3500 1451 124 OF THE DATA, ETC. 3500 1451 125 =================================================================3500 1451 126 HISTORY 3500 1451 127 =================================================================3500 1451 128 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3500 1451 129 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3500 1451 130 CROSS SECTIONS. 3500 1451 131 =================================================================3500 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3500 1451 133 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3500 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3500 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3500 1451 136 *RECONSTRUCTED MT NUMBERS 3500 1451 137 516 =+(515,515)+(517,517) 3500 1451 138 522 =+(534,572) 3500 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3500 1451 140 1 451 164 13500 1451 141 23 501 451 13500 1451 142 23 502 128 13500 1451 143 23 504 31 13500 1451 144 23 515 30 13500 1451 145 23 516 58 13500 1451 146 23 517 41 13500 1451 147 23 522 286 23500 1451 148 23 534 41 23500 1451 149 23 535 49 23500 1451 150 23 536 57 23500 1451 151 23 537 58 23500 1451 152 23 538 55 23500 1451 153 23 539 63 23500 1451 154 23 540 64 23500 1451 155 23 541 80 23500 1451 156 23 542 80 23500 1451 157 23 543 65 23500 1451 158 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1.833380-8 6.000000+7 1.519070-8350023544 1894 6.928200+7 1.310810-8 8.000000+7 1.131110-8 8.944271+7 1.009410-8350023544 1895 1.000000+8 9.008000-9 0.000000+0 0.000000+0 0.000000+0 0.000000+0350023544 1896 350023 0 1897 3.500000+4 7.921760+1 0 0 0 0350023545 1898 1.103000+1 0.000000+0 0 0 1 217350023545 1899 217 2 0 0 0 0350023545 1900 1.103000+1 0.000000+0 1.103000+1 4.609270+7 1.182000+1 4.651260+7350023545 1901 1.254540+1 4.527640+7 1.371790+1 4.069940+7 1.500000+1 3.401820+7350023545 1902 1.611850+1 2.808890+7 1.701180+1 2.357420+7 1.795470+1 1.978510+7350023545 1903 1.894980+1 1.616510+7 2.000000+1 1.320740+7 2.107520+1 1.065170+7350023545 1904 2.191930+1 9.065000+6 2.324930+1 7.116940+6 2.466000+1 5.587510+6350023545 1905 2.541690+1 4.920530+6 2.689920+1 3.877050+6 2.826700+1 3.147230+6350023545 1906 2.952070+1 2.622270+6 3.066330+1 2.235290+6 3.169920+1 1.943820+6350023545 1907 3.359710+1 1.522200+6 3.509470+1 1.267170+6 3.626150+1 1.104350+6350023545 1908 3.808490+1 8.984920+5 4.000000+1 7.310070+5 4.170910+1 6.225090+5350023545 1909 4.441060+1 4.891940+5 4.728710+1 3.844300+5 5.000000+1 3.168260+5350023545 1910 5.233180+1 2.749830+5 5.477230+1 2.386670+5 6.000000+1 1.891160+5350023545 1911 6.735370+1 1.528560+5 7.000000+1 1.449020+5 8.118000+1 1.263770+5350023545 1912 9.464760+1 1.161250+5 1.191520+2 1.022840+5 1.500000+2 9.009320+4350023545 1913 1.732050+2 8.001729+4 2.000000+2 7.106830+4 2.265040+2 6.275190+4350023545 1914 2.565200+2 5.540860+4 3.000000+2 4.637930+4 3.464100+2 3.834710+4350023545 1915 4.000000+2 3.170590+4 4.472140+2 2.686300+4 5.000000+2 2.275980+4350023545 1916 5.438790+2 1.982700+4 6.170210+2 1.612090+4 7.000000+2 1.310750+4350023545 1917 7.652860+2 1.109420+4 8.182150+2 9.789871+3 9.045530+2 8.115201+3350023545 1918 1.000000+3 6.727000+3 1.061580+3 5.925380+3 1.178620+3 4.745500+3350023545 1919 1.274790+3 4.017510+3 1.352040+3 3.545790+3 1.476760+3 2.939990+3350023545 1920 1.613000+3 2.437700+3 1.702090+3 2.151900+3 1.845040+3 1.784790+3350023545 1921 2.000000+3 1.480300+3 2.103980+3 1.304560+3 2.299120+3 1.045710+3350023545 1922 2.457260+3 8.858770+2 2.582970+3 7.822490+2 2.783680+3 6.490850+2350023545 1923 3.000000+3 5.385900+2 3.223710+3 4.443450+2 3.402370+3 3.846510+2350023545 1924 3.689100+3 3.098030+2 4.000000+3 2.495200+2 4.207960+3 2.159710+2350023545 1925 4.398770+3 1.903380+2 4.753750+3 1.525820+2 5.038660+3 1.292660+2350023545 1926 5.263490+3 1.141490+2 5.619690+3 9.472251+1 6.000000+3 7.860200+1350023545 1927 6.447420+3 6.335980+1 6.804750+3 5.390130+1 7.378210+3 4.229380+1350023545 1928 8.000000+3 3.318600+1 8.458970+3 2.790600+1 8.820401+3 2.450500+1350023545 1929 9.391701+3 2.016460+1 1.000000+4 1.659300+1 1.051990+4 1.408640+1350023545 1930 1.099690+4 1.220580+1 1.143200+4 1.076740+1 1.223530+4 8.646020+0350023545 1931 1.287460+4 7.334060+0 1.389670+4 5.729760+0 1.500000+4 4.476400+0350023545 1932 1.611850+4 3.516950+0 1.701190+4 2.934900+0 1.771420+4 2.562500+0350023545 1933 1.882240+4 2.090600+0 2.000000+4 1.705600+0 2.103980+4 1.431470+0350023545 1934 2.199390+4 1.228010+0 2.286410+4 1.073840+0 2.447070+4 8.491560-1350023545 1935 2.574930+4 7.120690-1 2.675180+4 6.239830-1 2.832940+4 5.118570-1350023545 1936 3.000000+4 4.198800-1 3.197810+4 3.343950-1 3.381560+4 2.740010-1350023545 1937 3.550980+4 2.301750-1 3.706180+4 1.976180-1 3.847530+4 1.729310-1350023545 1938 4.107990+4 1.369170-1 4.314830+4 1.149190-1 4.476780+4 1.007730-1350023545 1939 4.731160+4 8.275110-2 5.000000+4 6.795200-2 5.221370+4 5.804920-2350023545 1940 5.437800+4 5.008020-2 5.648840+4 4.360570-2 5.854120+4 3.829830-2350023545 1941 6.259340+4 3.002590-2 6.636860+4 2.426730-2 6.985820+4 2.014230-2350023545 1942 7.306180+4 1.711230-2 7.598520+4 1.483740-2 8.138540+4 1.155970-2350023545 1943 8.568600+4 9.585990-3 8.906000+4 8.330190-3 9.437160+4 6.748110-3350023545 1944 1.000000+5 5.466500-3 1.051990+5 4.552980-3 1.099690+5 3.879790-3350023545 1945 1.143200+5 3.372930-3 1.223530+5 2.640010-3 1.287460+5 2.196870-3350023545 1946 1.337590+5 1.914050-3 1.416470+5 1.556600-3 1.500000+5 1.265900-3350023545 1947 1.554920+5 1.115390-3 1.655920+5 8.937660-4 1.735950+5 7.569580-4350023545 1948 1.863300+5 5.899890-4 2.000000+5 4.598500-4 2.103980+5 3.878710-4350023545 1949 2.199390+5 3.341940-4 2.286410+5 2.933570-4 2.447070+5 2.335300-4350023545 1950 2.574930+5 1.968130-4 2.675180+5 1.731150-4 2.832940+5 1.428100-4350023545 1951 3.000000+5 1.178100-4 3.223710+5 9.410560-5 3.402370+5 7.951340-5350023545 1952 3.542840+5 7.007440-5 3.764490+5 5.797450-5 4.000000+5 4.796400-5350023545 1953 4.229490+5 4.079240-5 4.598630+5 3.199440-5 5.000000+5 2.509400-5350023545 1954 5.233180+5 2.217870-5 5.603490+5 1.842820-5 6.000000+5 1.531200-5350023545 1955 6.447420+5 1.281620-5 6.804750+5 1.121520-5 7.378210+5 9.180720-6350023545 1956 8.000000+5 7.515300-6 8.458970+5 6.637950-6 9.197270+5 5.510170-6350023545 1957 1.000000+6 4.574000-6 1.022000+6 4.373800-6 1.102170+6 3.763730-6350023545 1958 1.188630+6 3.238750-6 1.250000+6 2.941890-6 1.369310+6 2.492600-6350023545 1959 1.500000+6 2.111930-6 1.611850+6 1.868870-6 1.795470+6 1.555710-6350023545 1960 2.000000+6 1.295020-6 2.044000+6 1.250340-6 2.249780+6 1.080090-6350023545 1961 2.597950+6 8.671770-7 3.000000+6 6.962350-7 3.464100+6 5.696930-7350023545 1962 4.000000+6 4.661510-7 4.472140+6 4.022840-7 5.000000+6 3.471680-7350023545 1963 5.477230+6 3.092870-7 6.000000+6 2.755390-7 7.000000+6 2.279040-7350023545 1964 8.000000+6 1.940590-7 9.000000+6 1.688340-7 1.000000+7 1.493440-7350023545 1965 1.100000+7 1.338290-7 1.200000+7 1.211990-7 1.300000+7 1.107150-7350023545 1966 1.400000+7 1.019200-7 1.500000+7 9.439110-8 1.600000+7 8.788260-8350023545 1967 1.800000+7 7.722270-8 2.000000+7 6.888470-8 2.200000+7 6.213000-8350023545 1968 2.400000+7 5.660650-8 2.600000+7 5.196260-8 2.800000+7 4.802230-8350023545 1969 3.000000+7 4.464490-8 3.464100+7 3.839350-8 4.000000+7 3.301750-8350023545 1970 4.472140+7 2.940360-8 5.000000+7 2.618530-8 6.000000+7 2.169620-8350023545 1971 6.928200+7 1.872180-8 8.000000+7 1.615520-8 8.944271+7 1.441700-8350023545 1972 1.000000+8 1.286580-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0350023545 1973 350023 0 1974 3500 0 0 1975 3.500000+4 7.921760+1 0 0 0 0350027502 1976 0.000000+0 3.500000+1 0 0 2 145350027502 1977 2 2 145 5 0 0350027502 1978 0.000000+0 3.500000+1 1.000000-3 3.500000+1 5.000000-3 3.499000+1350027502 1979 7.500000-3 3.497650+1 1.000000-2 3.496700+1 1.375000-2 3.494330+1350027502 1980 1.500000-2 3.493300+1 1.875000-2 3.489540+1 2.000000-2 3.488100+1350027502 1981 2.500000-2 3.481500+1 3.000000-2 3.473500+1 3.750000-2 3.458810+1350027502 1982 4.000000-2 3.453400+1 4.750000-2 3.434700+1 5.000000-2 3.428300+1350027502 1983 5.875000-2 3.402160+1 6.500000-2 3.381640+1 6.625000-2 3.377310+1350027502 1984 7.000000-2 3.364200+1 7.875000-2 3.331240+1 8.500000-2 3.306160+1350027502 1985 8.625000-2 3.300900+1 9.000000-2 3.285600+1 1.000000-1 3.242500+1350027502 1986 1.109400-1 3.192650+1 1.187500-1 3.155640+1 1.203100-1 3.148270+1350027502 1987 1.250000-1 3.126000+1 1.375000-1 3.065270+1 1.437500-1 3.034960+1350027502 1988 1.500000-1 3.004700+1 1.625000-1 2.944140+1 1.750000-1 2.884700+1350027502 1989 1.937500-1 2.797130+1 2.000000-1 2.769000+1 2.250000-1 2.660460+1350027502 1990 2.375000-1 2.609180+1 2.500000-1 2.560100+1 2.750000-1 2.466970+1350027502 1991 3.000000-1 2.380800+1 3.250000-1 2.300130+1 3.500000-1 2.224360+1350027502 1992 3.625000-1 2.187830+1 4.000000-1 2.082900+1 4.437500-1 1.967350+1350027502 1993 4.750000-1 1.888080+1 4.812500-1 1.872550+1 5.000000-1 1.826200+1350027502 1994 5.437500-1 1.720480+1 5.812500-1 1.632940+1 6.000000-1 1.590200+1350027502 1995 6.500000-1 1.479970+1 7.000000-1 1.376500+1 7.500000-1 1.280210+1350027502 1996 8.000000-1 1.191800+1 9.000000-1 1.039100+1 1.000000+0 9.175400+0350027502 1997 1.109400+0 8.154820+0 1.125000+0 8.030990+0 1.203100+0 7.482320+0350027502 1998 1.250000+0 7.202300+0 1.312500+0 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7.552720+4 2.754380-1 8.533390+4 2.319030-1 9.297290+4 2.052690-1350027506 2279 1.018040+5 1.801720-1 1.143200+5 1.510870-1 1.223530+5 1.358050-1350027506 2280 1.312290+5 1.214090-1 1.414780+5 1.075690-1 1.516700+5 9.567220-2350027506 2281 1.607080+5 8.661740-2 1.735950+5 7.586520-2 1.892610+5 6.528000-2350027506 2282 2.016120+5 5.815670-2 2.151150+5 5.164590-2 2.326710+5 4.472720-2350027506 2283 2.491830+5 3.936420-2 2.681450+5 3.424200-2 2.851740+5 3.034250-2350027506 2284 3.018400+5 2.704250-2 3.408580+5 2.103350-2 3.689100+5 1.781230-2350027506 2285 4.031860+5 1.464840-2 4.598630+5 1.074610-2 5.021790+5 8.541440-3350027506 2286 5.477230+5 6.717370-3 5.841390+5 5.560930-3 6.501170+5 3.933860-3350027506 2287 7.159790+5 2.740610-3 7.816480+5 1.836730-3 8.486900+5 1.120830-3350027506 2288 9.101570+5 5.966000-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0350027506 2289 350027 0 2290 3500 0 0 2291 0 0 0 2292 3.600000+4 8.308020+1 -1 0 2 23600 1451 1 0.000000+0 0.000000+0 0 0 0 63600 1451 2 0.000000+0 0.000000+0 0 0 3 23600 1451 3 0.000000+0 0.000000+0 0 0 136 243600 1451 4 36-KR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3600 1451 6 ----JEF-2 MATERIAL 3600 REVISION 0 3600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3600 1451 8 ------ENDF-6 FORMAT 3600 1451 9 ******************************************************************3600 1451 10 * JEF-2 *3600 1451 11 * DATA TAKEN FROM EPDL *3600 1451 12 ******************************************************************3600 1451 13 =================================================================3600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3600 1451 15 ENDF/B-VI FORMAT 3600 1451 16 =================================================================3600 1451 17 CONTENTS 3600 1451 18 =================================================================3600 1451 19 MF/MT DESCRIPTION 3600 1451 20 =================================================================3600 1451 21 23/501 TOTAL CROSS SECTION 3600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 40 =================================================================3600 1451 41 27/502 COHERENT SCATTERING FORM FACTORS 3600 1451 42 27/504 INCOHERENT SCATTERING FUNCTIONS 3600 1451 43 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3600 1451 44 27/506 COHERENT REAL SCATTERING FACTOR 3600 1451 45 =================================================================3600 1451 46 WARNING 3600 1451 47 =================================================================3600 1451 48 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3600 1451 49 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3600 1451 50 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3600 1451 51 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3600 1451 52 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3600 1451 53 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3600 1451 54 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3600 1451 55 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3600 1451 56 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3600 1451 57 =================================================================3600 1451 58 DEFINITION OF NEW TYPES OF DATA 3600 1451 59 =================================================================3600 1451 60 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3600 1451 61 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3600 1451 62 3600 1451 63 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3600 1451 64 C2 FIELDS ARE, 3600 1451 65 3600 1451 66 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3600 1451 67 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3600 1451 68 3600 1451 69 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3600 1451 70 3600 1451 71 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3600 1451 72 3600 1451 73 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3600 1451 74 T = THE THOMSON CROSS SECTION 3600 1451 75 MU = THE COSINE OF THE SCATTERING ANGLE 3600 1451 76 FF(M) = THE ATOMIC FORM FACTOR 3600 1451 77 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3600 1451 78 F1(E) = THE REAL SCATTERING FACTOR 3600 1451 79 F2(E) = THE IMAGINARY SCATTERING FACTOR 3600 1451 80 3600 1451 81 F1(E) AND F2(E) ARE ISOTROPIC. 3600 1451 82 3600 1451 83 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3600 1451 84 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3600 1451 85 =================================================================3600 1451 86 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3600 1451 87 =================================================================3600 1451 88 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3600 1451 89 HERE - 10 EV TO 100 MEV 3600 1451 90 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3600 1451 91 - FLUORESCENCE AND ELECTRON SPECTRA 3600 1451 92 HERE - PHOTON INTERACTION 3600 1451 93 - AVERAGE FLUORESCENCE YIELD 3600 1451 94 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3600 1451 95 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3600 1451 96 HERE - NO SECONDARY ENERGY DATA 3600 1451 97 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3600 1451 98 INTERPOLABLE - SUMMATION CROSS SECTIONS 3600 1451 99 (E.G., TOTAL) ARE NOT INCLUDED 3600 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3600 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3600 1451 102 - SCATTERING FACTORS LINEARLY INTERPOLABLE3600 1451 103 (SINCE THEY CAN BE NEGATIVE). 3600 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3600 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 3600 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 3600 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 3600 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 3600 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3600 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE3600 1451 111 =================================================================3600 1451 112 REFERENCES 3600 1451 113 =================================================================3600 1451 114 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3600 1451 115 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3600 1451 116 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3600 1451 117 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3600 1451 118 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3600 1451 119 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3600 1451 120 3600 1451 121 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3600 1451 122 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3600 1451 123 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3600 1451 124 OF THE DATA, ETC. 3600 1451 125 =================================================================3600 1451 126 HISTORY 3600 1451 127 =================================================================3600 1451 128 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3600 1451 129 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3600 1451 130 CROSS SECTIONS. 3600 1451 131 =================================================================3600 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3600 1451 133 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3600 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3600 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3600 1451 136 *RECONSTRUCTED MT NUMBERS 3600 1451 137 516 =+(515,515)+(517,517) 3600 1451 138 522 =+(534,572) 3600 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3600 1451 140 1 451 164 13600 1451 141 23 501 485 13600 1451 142 23 502 130 13600 1451 143 23 504 31 13600 1451 144 23 515 30 13600 1451 145 23 516 58 13600 1451 146 23 517 41 13600 1451 147 23 522 320 23600 1451 148 23 534 41 23600 1451 149 23 535 49 23600 1451 150 23 536 57 23600 1451 151 23 537 58 23600 1451 152 23 538 55 23600 1451 153 23 539 63 23600 1451 154 23 540 63 23600 1451 155 23 541 79 23600 1451 156 23 542 80 23600 1451 157 23 543 66 23600 1451 158 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6.148650+0 2.582970+4 5.402390+0 2.783680+4 4.449330+0360023543 1855 3.000000+4 3.664400+0 3.197810+4 3.080930+0 3.381560+4 2.647140+0360023543 1856 3.550980+4 2.317980+0 3.868160+4 1.837350+0 4.124490+4 1.543490+0360023543 1857 4.327830+4 1.354370+0 4.651790+4 1.113240+0 5.000000+4 9.150400-1360023543 1858 5.221370+4 8.088260-1 5.663190+4 6.417750-1 6.080350+4 5.241670-1360023543 1859 6.470500+4 4.390820-1 6.832350+4 3.760430-1 7.165540+4 3.283540-1360023543 1860 7.788190+4 2.589860-1 8.290440+4 2.167580-1 8.688270+4 1.896710-1360023543 1861 9.321090+4 1.552530-1 1.000000+5 1.270800-1 1.044270+5 1.119710-1360023543 1862 1.132640+5 8.831400-2 1.216070+5 7.175290-2 1.294100+5 5.983050-2360023543 1863 1.366470+5 5.103530-2 1.433110+5 4.440690-2 1.557640+5 3.481080-2360023543 1864 1.658090+5 2.900100-2 1.737650+5 2.528930-2 1.864220+5 2.059310-2360023543 1865 2.000000+5 1.676900-2 2.103980+5 1.449730-2 2.199390+5 1.276350-2360023543 1866 2.376880+5 1.021330-2 2.519330+5 8.640960-3 2.631750+5 7.622700-3360023543 1867 2.809850+5 6.315820-3 3.000000+5 5.233000-3 3.223710+5 4.291630-3360023543 1868 3.402370+5 3.698500-3 3.689100+5 2.958900-3 4.000000+5 2.367200-3360023543 1869 4.229490+5 2.044740-3 4.598630+5 1.641510-3 5.000000+5 1.317800-3360023543 1870 5.477230+5 1.049900-3 6.000000+5 8.364700-4 6.447420+5 7.079870-4360023543 1871 6.804750+5 6.247510-4 7.378210+5 5.178800-4 8.000000+5 4.292900-4360023543 1872 8.458970+5 3.813940-4 9.197270+5 3.193800-4 1.000000+6 2.674500-4360023543 1873 1.022000+6 2.560370-4 1.102170+6 2.206140-4 1.188630+6 1.900910-4360023543 1874 1.250000+6 1.726460-4 1.369310+6 1.460030-4 1.500000+6 1.234710-4360023543 1875 1.611850+6 1.092430-4 1.795470+6 9.091450-5 2.000000+6 7.566140-5360023543 1876 2.044000+6 7.304240-5 2.249780+6 6.309080-5 2.597950+6 5.064690-5360023543 1877 3.000000+6 4.065740-5 3.464100+6 3.324450-5 4.000000+6 2.718320-5360023543 1878 4.472140+6 2.346040-5 5.000000+6 2.024740-5 5.477230+6 1.803190-5360023543 1879 6.000000+6 1.605890-5 7.000000+6 1.327910-5 8.000000+6 1.130500-5360023543 1880 9.000000+6 9.832910-6 1.000000+7 8.696810-6 1.100000+7 7.791910-6360023543 1881 1.200000+7 7.056790-6 1.300000+7 6.446300-6 1.400000+7 5.933340-6360023543 1882 1.500000+7 5.494440-6 1.600000+7 5.115140-6 1.800000+7 4.495610-6360023543 1883 2.000000+7 4.007940-6 2.200000+7 3.616000-6 2.400000+7 3.294490-6360023543 1884 2.600000+7 3.023570-6 2.800000+7 2.794180-6 3.000000+7 2.597300-6360023543 1885 3.464100+7 2.233110-6 4.000000+7 1.919980-6 4.472140+7 1.710100-6360023543 1886 5.000000+7 1.523160-6 6.000000+7 1.261810-6 6.928200+7 1.088840-6360023543 1887 8.000000+7 9.395810-7 8.944271+7 8.385070-7 1.000000+8 7.483050-7360023543 1888 360023 0 1889 3.600000+4 8.308020+1 0 0 0 0360023544 1890 1.343000+1 0.000000+0 0 0 1 217360023544 1891 217 2 0 0 0 0360023544 1892 1.343000+1 0.000000+0 1.343000+1 2.341220+7 1.419370+1 2.481190+7360023544 1893 1.500000+1 2.512820+7 1.611850+1 2.377630+7 1.701190+1 2.177420+7360023544 1894 1.844550+1 1.791690+7 1.920700+1 1.576430+7 2.000000+1 1.387030+7360023544 1895 2.080180+1 1.198510+7 2.163570+1 1.035610+7 2.294970+1 8.095940+6360023544 1896 2.434340+1 6.329040+6 2.511080+1 5.523980+6 2.585230+1 4.862500+6360023544 1897 2.730200+1 3.828240+6 2.863700+1 3.105420+6 2.985850+1 2.585840+6360023544 1898 3.097010+1 2.203040+6 3.197660+1 1.914880+6 3.381730+1 1.498300+6360023544 1899 3.526710+1 1.246500+6 3.639500+1 1.085830+6 3.815500+1 8.828100+5360023544 1900 4.000000+1 7.177480+5 4.229490+1 5.705460+5 4.410200+1 4.803190+5360023544 1901 4.550780+1 4.221430+5 4.770110+1 3.478190+5 5.000000+1 2.865810+5360023544 1902 5.353810+1 2.231680+5 5.732660+1 1.737860+5 6.000000+1 1.500110+5360023544 1903 6.480740+1 1.205140+5 7.000000+1 1.008920+5 7.737350+1 8.536470+4360023544 1904 9.000000+1 7.378900+4 1.161900+2 6.508960+4 1.500000+2 5.741580+4360023544 1905 1.794530+2 5.030450+4 2.146900+2 4.407400+4 2.537850+2 3.732510+4360023544 1906 3.000000+2 3.160960+4 3.464100+2 2.644060+4 4.000000+2 2.211680+4360023544 1907 4.472140+2 1.888530+4 5.000000+2 1.612590+4 5.438790+2 1.412360+4360023544 1908 6.170210+2 1.157660+4 7.000000+2 9.488871+3 7.652860+2 8.085190+3360023544 1909 8.182150+2 7.170460+3 9.045530+2 5.988700+3 1.000000+3 5.001700+3360023544 1910 1.106680+3 4.070820+3 1.194100+3 3.488230+3 1.264160+3 3.106690+3360023544 1911 1.377040+3 2.611180+3 1.500000+3 2.194700+3 1.611850+3 1.868640+3360023544 1912 1.701190+3 1.656300+3 1.844550+3 1.382160+3 2.000000+3 1.153400+3360023544 1913 2.103980+3 1.019960+3 2.299120+3 8.225020+2 2.457260+3 6.999260+2360023544 1914 2.582970+3 6.201390+2 2.783680+3 5.171830+2 3.000000+3 4.313200+2360023544 1915 3.223710+3 3.575940+2 3.402370+3 3.106940+2 3.689100+3 2.516210+2360023544 1916 4.000000+3 2.037800+2 4.207960+3 1.770670+2 4.398770+3 1.565810+2360023544 1917 4.753750+3 1.262690+2 5.038660+3 1.074520+2 5.498360+3 8.435050+1360023544 1918 6.000000+3 6.621600+1 6.447420+3 5.373400+1 6.804750+3 4.594250+1360023544 1919 7.378210+3 3.632130+1 8.000000+3 2.871500+1 8.505130+3 2.379600+1360023544 1920 8.973210+3 2.018830+1 9.403871+3 1.748320+1 9.797611+3 1.541530+1360023544 1921 1.052680+4 1.236750+1 1.110900+4 1.048400+1 1.156670+4 9.262170+0360023544 1922 1.228890+4 7.691140+0 1.305620+4 6.386580+0 1.377110+4 5.365330+0360023544 1923 1.442870+4 4.606630+0 1.502970+4 4.031320+0 1.614250+4 3.191970+0360023544 1924 1.703080+4 2.679270+0 1.772900+4 2.349560+0 1.883030+4 1.929470+0360023544 1925 2.000000+4 1.584500+0 2.103980+4 1.335740+0 2.199390+4 1.150330+0360023544 1926 2.286410+4 1.009330+0 2.447070+4 8.028890-1 2.574930+4 6.762730-1360023544 1927 2.675180+4 5.945950-1 2.832940+4 4.901980-1 3.000000+4 4.041300-1360023544 1928 3.132820+4 3.476080-1 3.262680+4 3.018200-1 3.389300+4 2.643870-1360023544 1929 3.640120+4 2.062590-1 3.874760+4 1.659830-1 4.092450+4 1.372490-1360023544 1930 4.292930+4 1.162180-1 4.476400+4 1.004770-1 4.643350+4 8.846250-2360023544 1931 4.950640+4 7.079040-2 5.194380+4 5.989430-2 5.385030+4 5.283770-2360023544 1932 5.684210+4 4.378060-2 6.000000+4 3.627600-2 6.353640+4 2.968190-2360023544 1933 6.704080+4 2.459280-2 7.050160+4 2.061730-2 7.390810+4 1.747590-2360023544 1934 7.725110+4 1.496700-2 8.052229+4 1.294310-2 8.371479+4 1.129490-2360023544 1935 8.682260+4 9.940920-3 9.296400+4 7.824290-3 9.869320+4 6.345420-3360023544 1936 1.039950+5 5.282620-3 1.088670+5 4.499760-3 1.133170+5 3.910540-3360023544 1937 1.215470+5 3.058940-3 1.281100+5 2.544310-3 1.332630+5 2.216000-3360023544 1938 1.413840+5 1.801240-3 1.500000+5 1.464100-3 1.611850+5 1.146520-3360023544 1939 1.701190+5 9.544260-4 1.771420+5 8.317870-4 1.882240+5 6.767310-4360023544 1940 2.000000+5 5.505800-4 2.103980+5 4.665790-4 2.199390+5 4.036610-4360023544 1941 2.286410+5 3.556090-4 2.447070+5 2.848680-4 2.574930+5 2.412120-4360023544 1942 2.675180+5 2.129190-4 2.832940+5 1.765780-4 3.000000+5 1.464400-4360023544 1943 3.223710+5 1.173070-4 3.402370+5 9.932740-5 3.542840+5 8.767570-5360023544 1944 3.764490+5 7.271010-5 4.000000+5 6.029900-5 4.229490+5 5.123730-5360023544 1945 4.410200+5 4.534640-5 4.695850+5 3.775530-5 5.000000+5 3.143500-5360023544 1946 5.233180+5 2.770360-5 5.603490+5 2.292040-5 6.000000+5 1.896300-5360023544 1947 6.447420+5 1.574430-5 6.804750+5 1.369420-5 7.378210+5 1.110850-5360023544 1948 8.000000+5 9.011000-6 8.458970+5 7.890220-6 9.197270+5 6.464930-6360023544 1949 1.000000+6 5.297100-6 1.022000+6 5.054870-6 1.102170+6 4.337800-6360023544 1950 1.188630+6 3.722460-6 1.250000+6 3.388880-6 1.369310+6 2.878790-6360023544 1951 1.500000+6 2.445470-6 1.611850+6 2.163660-6 1.795470+6 1.800650-6360023544 1952 2.000000+6 1.498550-6 2.044000+6 1.446670-6 2.249780+6 1.249570-6360023544 1953 2.597950+6 1.003110-6 3.000000+6 8.052580-7 3.464100+6 6.584390-7360023544 1954 4.000000+6 5.383890-7 4.472140+6 4.646550-7 5.000000+6 4.010190-7360023544 1955 5.477230+6 3.571390-7 6.000000+6 3.180610-7 7.000000+6 2.630060-7360023544 1956 8.000000+6 2.239050-7 9.000000+6 1.947500-7 1.000000+7 1.722490-7360023544 1957 1.100000+7 1.543260-7 1.200000+7 1.397660-7 1.300000+7 1.276750-7360023544 1958 1.400000+7 1.175150-7 1.500000+7 1.088220-7 1.600000+7 1.013100-7360023544 1959 1.800000+7 8.903980-8 2.000000+7 7.938100-8 2.200000+7 7.161820-8360023544 1960 2.400000+7 6.525060-8 2.600000+7 5.988460-8 2.800000+7 5.534140-8360023544 1961 3.000000+7 5.144210-8 3.464100+7 4.422890-8 4.000000+7 3.802710-8360023544 1962 4.472140+7 3.387020-8 5.000000+7 3.016770-8 6.000000+7 2.499130-8360023544 1963 6.928200+7 2.156550-8 8.000000+7 1.860930-8 8.944271+7 1.660740-8360023544 1964 1.000000+8 1.482090-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0360023544 1965 360023 0 1966 3.600000+4 8.308020+1 0 0 0 0360023545 1967 1.272000+1 0.000000+0 0 0 1 220360023545 1968 220 2 0 0 0 0360023545 1969 1.272000+1 0.000000+0 1.272000+1 4.880880+7 1.370000+1 5.160690+7360023545 1970 1.466390+1 5.107210+7 1.500000+1 5.016780+7 1.611850+1 4.519770+7360023545 1971 1.701190+1 4.007300+7 1.844550+1 3.167160+7 1.920700+1 2.746710+7360023545 1972 2.000000+1 2.382070+7 2.069980+1 2.073530+7 2.179570+1 1.684020+7360023545 1973 2.294960+1 1.367670+7 2.373110+1 1.179220+7 2.443680+1 1.035760+7360023545 1974 2.572250+1 8.254070+6 2.673100+1 6.961870+6 2.751320+1 6.127290+6360023545 1975 2.872970+1 5.059220+6 3.000000+1 4.177320+6 3.109840+1 3.573500+6360023545 1976 3.209250+1 3.117210+6 3.390920+1 2.454380+6 3.533890+1 2.051510+6360023545 1977 3.645060+1 1.793380+6 3.818410+1 1.465780+6 4.000000+1 1.198030+6360023545 1978 4.170910+1 1.011280+6 4.303870+1 8.905780+5 4.511290+1 7.359940+5360023545 1979 4.728710+1 6.082430+5 5.000000+1 4.940830+5 5.233180+1 4.229730+5360023545 1980 5.477230+1 3.620970+5 5.732660+1 3.173780+5 6.000000+1 2.781820+5360023545 1981 6.480740+1 2.328420+5 7.000000+1 2.031100+5 8.000000+1 1.745680+5360023545 1982 9.726000+1 1.559400+5 1.355400+2 1.326620+5 1.500000+2 1.246000+5360023545 1983 1.794530+2 1.075200+5 2.146900+2 9.278050+4 2.537850+2 7.763290+4360023545 1984 3.000000+2 6.495830+4 3.464100+2 5.388020+4 4.000000+2 4.469130+4360023545 1985 4.472140+2 3.791810+4 5.000000+2 3.217140+4 5.438790+2 2.806370+4360023545 1986 6.170210+2 2.286420+4 7.000000+2 1.862810+4 7.652860+2 1.581010+4360023545 1987 8.182150+2 1.398010+4 9.045530+2 1.162450+4 1.000000+3 9.665800+3360023545 1988 1.106680+3 7.837141+3 1.194100+3 6.696491+3 1.264160+3 5.951340+3360023545 1989 1.377040+3 4.986150+3 1.500000+3 4.177500+3 1.611850+3 3.547660+3360023545 1990 1.701190+3 3.138420+3 1.844550+3 2.611350+3 2.000000+3 2.172800+3360023545 1991 2.103980+3 1.917880+3 2.299120+3 1.541610+3 2.457260+3 1.308690+3360023545 1992 2.582970+3 1.157410+3 2.783680+3 9.626300+2 3.000000+3 8.006300+2360023545 1993 3.223710+3 6.619920+2 3.402370+3 5.740090+2 3.689100+3 4.634650+2360023545 1994 4.000000+3 3.742100+2 4.229490+3 3.206290+2 4.598630+3 2.542920+2360023545 1995 5.000000+3 2.016800+2 5.302550+3 1.697250+2 5.582270+3 1.459470+2360023545 1996 5.839100+3 1.278900+2 6.317300+3 1.014990+2 6.701491+3 8.534520+1360023545 1997 7.004880+3 7.494070+1 7.485920+3 6.166310+1 8.000000+3 5.073800+1360023545 1998 8.505130+3 4.191960+1 8.973210+3 3.547030+1 9.403871+3 3.064660+1360023545 1999 9.797611+3 2.696710+1 1.052680+4 2.155880+1 1.110900+4 1.822720+1360023545 2000 1.156670+4 1.607090+1 1.228890+4 1.330520+1 1.305620+4 1.101540+1360023545 2001 1.377110+4 9.225650+0 1.442870+4 7.899860+0 1.502970+4 6.897050+0360023545 2002 1.614250+4 5.438650+0 1.703080+4 4.551050+0 1.772900+4 3.981780+0360023545 2003 1.883030+4 3.258560+0 2.000000+4 2.666700+0 2.103980+4 2.240390+0360023545 2004 2.199390+4 1.923670+0 2.286410+4 1.683490+0 2.447070+4 1.333060+0360023545 2005 2.574930+4 1.119000+0 2.675180+4 9.813340-1 2.832940+4 8.059250-1360023545 2006 3.000000+4 6.618700-1 3.197810+4 5.277390-1 3.381560+4 4.328730-1360023545 2007 3.550980+4 3.639640-1 3.706180+4 3.127300-1 3.847530+4 2.738520-1360023545 2008 4.107990+4 2.170820-1 4.314830+4 1.823700-1 4.476780+4 1.600300-1360023545 2009 4.731160+4 1.315450-1 5.000000+4 1.081300-1 5.221370+4 9.243210-2360023545 2010 5.437800+4 7.979150-2 5.648840+4 6.951560-2 5.854120+4 6.108720-2360023545 2011 6.259340+4 4.794050-2 6.636860+4 3.878030-2 6.985820+4 3.221300-2360023545 2012 7.306180+4 2.738570-2 7.598520+4 2.375900-2 8.138540+4 1.852950-2360023545 2013 8.568600+4 1.537770-2 8.906000+4 1.337090-2 9.437160+4 1.084090-2360023545 2014 1.000000+5 8.789600-3 1.051990+5 7.325210-3 1.099690+5 6.245470-3360023545 2015 1.143200+5 5.432090-3 1.223530+5 4.255200-3 1.287460+5 3.543110-3360023545 2016 1.337590+5 3.088390-3 1.416470+5 2.513360-3 1.500000+5 2.045400-3360023545 2017 1.554920+5 1.802840-3 1.655920+5 1.445510-3 1.735950+5 1.224810-3360023545 2018 1.863300+5 9.553060-4 2.000000+5 7.451000-4 2.103980+5 6.287060-4360023545 2019 2.199390+5 5.418780-4 2.286410+5 4.757990-4 2.447070+5 3.789550-4360023545 2020 2.574930+5 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5.263410-1 2.477930+4 5.307620-1360027506 2341 2.641790+4 6.068310-1 2.681450+4 6.141820-1 2.915270+4 6.298730-1360027506 2342 3.035660+4 6.470960-1 3.406770+4 6.362720-1 3.650880+4 6.148470-1360027506 2343 3.922760+4 5.928370-1 4.224940+4 5.672040-1 4.530550+4 5.382010-1360027506 2344 4.935180+4 4.955030-1 5.234340+4 4.649700-1 5.688070+4 4.244370-1360027506 2345 6.087230+4 3.909360-1 6.517590+4 3.595370-1 6.993290+4 3.289930-1360027506 2346 7.511790+4 2.996950-1 8.108290+4 2.708330-1 8.752270+4 2.442560-1360027506 2347 9.540210+4 2.165010-1 1.064030+5 1.841420-1 1.143200+5 1.649230-1360027506 2348 1.223530+5 1.483350-1 1.316150+5 1.322790-1 1.399390+5 1.197600-1360027506 2349 1.500000+5 1.067860-1 1.631340+5 9.273390-2 1.771420+5 8.050640-2360027506 2350 1.882240+5 7.219540-2 2.049710+5 6.210020-2 2.211170+5 5.416820-2360027506 2351 2.376870+5 4.744280-2 2.580890+5 4.072240-2 2.752930+5 3.594710-2360027506 2352 2.900500+5 3.238070-2 3.109840+5 2.814510-2 3.311840+5 2.470750-2360027506 2353 3.555900+5 2.129040-2 3.899580+5 1.747930-2 4.154440+5 1.512250-2360027506 2354 4.598630+5 1.189430-2 5.013840+5 9.626930-3 5.477230+5 7.539080-3360027506 2355 5.841390+5 6.240720-3 6.500640+5 4.416810-3 7.159520+5 3.072870-3360027506 2356 7.798130+5 2.083500-3 8.465560+5 1.279790-3 9.101570+5 6.708290-4360027506 2357 9.197270+5 5.973070-4 9.803850+5 1.455520-4 1.000000+6 0.000000+0360027506 2358 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0360027506 2359 360027 0 2360 3600 0 0 2361 0 0 0 2362 3.700000+4 8.473360+1 -1 0 2 23700 1451 1 0.000000+0 0.000000+0 0 0 0 63700 1451 2 0.000000+0 0.000000+0 0 0 3 23700 1451 3 0.000000+0 0.000000+0 0 0 137 253700 1451 4 37-RB LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3700 1451 6 ----JEF-2 MATERIAL 3700 REVISION 0 3700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3700 1451 8 ------ENDF-6 FORMAT 3700 1451 9 ******************************************************************3700 1451 10 * JEF-2 *3700 1451 11 * DATA TAKEN FROM EPDL *3700 1451 12 ******************************************************************3700 1451 13 =================================================================3700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3700 1451 15 ENDF/B-VI FORMAT 3700 1451 16 =================================================================3700 1451 17 CONTENTS 3700 1451 18 =================================================================3700 1451 19 MF/MT DESCRIPTION 3700 1451 20 =================================================================3700 1451 21 23/501 TOTAL CROSS SECTION 3700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 41 =================================================================3700 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 3700 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 3700 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3700 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 3700 1451 46 =================================================================3700 1451 47 WARNING 3700 1451 48 =================================================================3700 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3700 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3700 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3700 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3700 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3700 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3700 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3700 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3700 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3700 1451 58 =================================================================3700 1451 59 DEFINITION OF NEW TYPES OF DATA 3700 1451 60 =================================================================3700 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3700 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3700 1451 63 3700 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3700 1451 65 C2 FIELDS ARE, 3700 1451 66 3700 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3700 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3700 1451 69 3700 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3700 1451 71 3700 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3700 1451 73 3700 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3700 1451 75 T = THE THOMSON CROSS SECTION 3700 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 3700 1451 77 FF(M) = THE ATOMIC FORM FACTOR 3700 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3700 1451 79 F1(E) = THE REAL SCATTERING FACTOR 3700 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 3700 1451 81 3700 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 3700 1451 83 3700 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3700 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3700 1451 86 =================================================================3700 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3700 1451 88 =================================================================3700 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3700 1451 90 HERE - 10 EV TO 100 MEV 3700 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3700 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 3700 1451 93 HERE - PHOTON INTERACTION 3700 1451 94 - AVERAGE FLUORESCENCE YIELD 3700 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3700 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3700 1451 97 HERE - NO SECONDARY ENERGY DATA 3700 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3700 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 3700 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 3700 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 3700 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3700 1451 103 - SCATTERING FACTORS LINEARLY INTERPOLABLE3700 1451 104 (SINCE THEY CAN BE NEGATIVE). 3700 1451 105 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3700 1451 106 ORDER TO ALLOW CROSS SECTIONS DEFINED 3700 1451 107 BY SUMMATION (E.G., TOTAL) TO BE 3700 1451 108 CONSISTENTLY DEFINED AT ALL ENERGIES. 3700 1451 109 - FORM FACTORS ARE LOG X VS. LOG Y 3700 1451 110 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3700 1451 111 - SCATTERING FACTORS LINEARLY INTERPOLABLE3700 1451 112 =================================================================3700 1451 113 REFERENCES 3700 1451 114 =================================================================3700 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3700 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3700 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3700 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3700 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3700 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3700 1451 121 3700 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3700 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3700 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3700 1451 125 OF THE DATA, ETC. 3700 1451 126 =================================================================3700 1451 127 HISTORY 3700 1451 128 =================================================================3700 1451 129 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3700 1451 130 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3700 1451 131 CROSS SECTIONS. 3700 1451 132 =================================================================3700 1451 133 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3700 1451 134 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3700 1451 135 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3700 1451 136 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3700 1451 137 *RECONSTRUCTED MT NUMBERS 3700 1451 138 516 =+(515,515)+(517,517) 3700 1451 139 522 =+(534,572) 3700 1451 140 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3700 1451 141 1 451 166 13700 1451 142 23 501 470 13700 1451 143 23 502 126 13700 1451 144 23 504 29 13700 1451 145 23 515 30 13700 1451 146 23 516 58 13700 1451 147 23 517 41 13700 1451 148 23 522 306 23700 1451 149 23 534 41 23700 1451 150 23 535 49 23700 1451 151 23 536 56 23700 1451 152 23 537 57 23700 1451 153 23 538 54 23700 1451 154 23 539 60 23700 1451 155 23 540 63 23700 1451 156 23 541 80 23700 1451 157 23 542 80 23700 1451 158 23 543 61 23700 1451 159 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1.886820+1 2.036690+4370023501 180 1.907780+1 2.032960+4 1.916630+1 2.032230+4 1.920610+1 2.032120+4370023501 181 1.924310+1 2.032200+4 1.926640+1 2.032340+4 1.927770+1 2.032440+4370023501 182 1.929240+1 2.032610+4 1.930650+1 2.032820+4 1.932030+1 2.033060+4370023501 183 1.933360+1 2.033330+4 1.934650+1 2.033640+4 1.935900+1 2.033990+4370023501 184 1.937710+1 2.034560+4 1.939430+1 2.035200+4 1.941070+1 2.035920+4370023501 185 1.943160+1 2.036980+4 1.945120+1 2.038130+4 1.946960+1 2.039350+4370023501 186 1.949500+1 2.041220+4 1.951070+1 2.042530+4 1.953970+1 2.045060+4370023501 187 1.956520+1 2.047510+4 1.958750+1 2.049810+4 1.962560+1 2.053650+4370023501 188 1.966840+1 2.057850+4 1.973570+1 2.063000+4 1.975000+1 2.063480+4370023501 189 1.975000+1 7.936050+7 1.980300+1 7.796750+7 1.980960+1 7.779400+7370023501 190 1.987930+1 7.596200+7 1.995490+1 7.397490+7 2.000770+1 7.258710+7370023501 191 2.010760+1 6.996120+7 2.021040+1 6.725910+7 2.035370+1 6.349250+7370023501 192 2.043320+1 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2.430260+5370023544 1858 6.000000+1 2.073200+5 6.480740+1 1.633430+5 7.000000+1 1.342590+5370023544 1859 7.737350+1 1.111600+5 8.000000+1 1.059170+5 9.000000+1 9.343379+4370023544 1860 1.000000+2 8.694260+4 1.224740+2 7.882400+4 1.500000+2 7.146350+4370023544 1861 1.732050+2 6.492260+4 2.000000+2 5.898040+4 2.243300+2 5.323820+4370023544 1862 2.516200+2 4.805510+4 2.835140+2 4.219530+4 3.194500+2 3.705000+4370023544 1863 3.574630+2 3.216400+4 4.000000+2 2.792230+4 4.472140+2 2.390890+4370023544 1864 5.000000+2 2.047240+4 5.438790+2 1.794880+4 6.170210+2 1.473440+4370023544 1865 7.000000+2 1.209570+4 7.652860+2 1.033360+4 8.182150+2 9.182581+3370023544 1866 9.045530+2 7.691951+3 1.000000+3 6.443300+3 1.078990+3 5.550720+3370023544 1867 1.209320+3 4.438240+3 1.355400+3 3.548730+3 1.502370+3 2.833370+3370023544 1868 1.622970+3 2.393190+3 1.719720+3 2.108540+3 1.875780+3 1.743770+3370023544 1869 2.046000+3 1.442100+3 2.251440+3 1.146290+3 2.418940+3 9.649850+2370023544 1870 2.552700+3 8.480850+2 2.767320+3 6.987440+2 3.000000+3 5.757000+2370023544 1871 3.223710+3 4.784300+2 3.402370+3 4.164230+2 3.689100+3 3.381500+2370023544 1872 4.000000+3 2.745900+2 4.207960+3 2.389550+2 4.398770+3 2.115890+2370023544 1873 4.753750+3 1.710230+2 5.038660+3 1.457890+2 5.498360+3 1.147440+2370023544 1874 6.000000+3 9.031000+1 6.447420+3 7.332380+1 6.804750+3 6.271580+1370023544 1875 7.378210+3 4.961070+1 8.000000+3 3.924400+1 8.458970+3 3.321830+1370023544 1876 8.820401+3 2.931430+1 9.391701+3 2.430160+1 1.000000+4 2.014600+1370023544 1877 1.078990+4 1.594770+1 1.142300+4 1.338380+1 1.192210+4 1.173530+1370023544 1878 1.271190+4 9.635180+0 1.355400+4 7.910930+0 1.438640+4 6.510450+0370023544 1879 1.527000+4 5.357900+0 1.633570+4 4.335140+0 1.747570+4 3.507610+0370023544 1880 1.869690+4 2.796670+0 1.983530+4 2.293870+0 2.088810+4 1.928660+0370023544 1881 2.185510+4 1.657120+0 2.273780+4 1.451080+0 2.436920+4 1.150230+0370023544 1882 2.566920+4 9.662770-1 2.668940+4 8.478910-1 2.829630+4 6.969440-1370023544 1883 3.000000+4 5.728700-1 3.132820+4 4.931720-1 3.262680+4 4.285550-1370023544 1884 3.389300+4 3.756870-1 3.640120+4 2.935040-1 3.874760+4 2.364850-1370023544 1885 4.092450+4 1.957580-1 4.292930+4 1.659190-1 4.476400+4 1.435650-1370023544 1886 4.643350+4 1.264910-1 4.950640+4 1.013510-1 5.194380+4 8.583270-2370023544 1887 5.385030+4 7.577430-2 5.684210+4 6.285290-2 6.000000+4 5.213500-2370023544 1888 6.353640+4 4.269600-2 6.704080+4 3.540520-2 7.050160+4 2.970490-2370023544 1889 7.390810+4 2.519740-2 7.725110+4 2.159480-2 8.052229+4 1.868660-2370023544 1890 8.371479+4 1.631690-2 8.682260+4 1.436900-2 9.296400+4 1.132150-2370023544 1891 9.869320+4 9.190180-3 1.039950+5 7.657120-3 1.088670+5 6.527010-3370023544 1892 1.133170+5 5.675860-3 1.215470+5 4.444650-3 1.281100+5 3.699920-3370023544 1893 1.332630+5 3.224470-3 1.413840+5 2.623350-3 1.500000+5 2.134300-3370023544 1894 1.611850+5 1.672870-3 1.701190+5 1.393530-3 1.771420+5 1.215090-3370023544 1895 1.882240+5 9.893390-4 2.000000+5 8.055300-4 2.103980+5 6.829860-4370023544 1896 2.199390+5 5.911540-4 2.286410+5 5.209880-4 2.447070+5 4.176390-4370023544 1897 2.574930+5 3.538190-4 2.675180+5 3.124400-4 2.832940+5 2.592650-4370023544 1898 3.000000+5 2.151400-4 3.223710+5 1.724400-4 3.402370+5 1.460750-4370023544 1899 3.542840+5 1.289820-4 3.764490+5 1.070180-4 4.000000+5 8.879500-5370023544 1900 4.229490+5 7.548490-5 4.598630+5 5.916530-5 5.000000+5 4.637400-5370023544 1901 5.233180+5 4.088110-5 5.603490+5 3.383720-5 6.000000+5 2.800700-5370023544 1902 6.447420+5 2.326170-5 6.804750+5 2.023820-5 7.378210+5 1.642360-5370023544 1903 8.000000+5 1.332800-5 8.458970+5 1.167310-5 9.197270+5 9.568000-6370023544 1904 1.000000+6 7.842500-6 1.022000+6 7.484240-6 1.102170+6 6.422980-6370023544 1905 1.188630+6 5.512210-6 1.250000+6 5.017970-6 1.369310+6 4.261670-6370023544 1906 1.500000+6 3.619360-6 1.611850+6 3.201920-6 1.795470+6 2.664260-6370023544 1907 2.000000+6 2.216890-6 2.044000+6 2.140350-6 2.249780+6 1.848250-6370023544 1908 2.417610+6 1.655650-6 2.693110+6 1.403720-6 3.000000+6 1.190120-6370023544 1909 3.464100+6 9.728710-7 4.000000+6 7.952790-7 4.472140+6 6.860320-7370023544 1910 5.000000+6 5.917920-7 5.477230+6 5.271190-7 6.000000+6 4.695140-7370023544 1911 7.000000+6 3.880250-7 8.000000+6 3.302930-7 9.000000+6 2.872620-7370023544 1912 1.000000+7 2.539850-7 1.100000+7 2.275690-7 1.200000+7 2.060540-7370023544 1913 1.300000+7 1.882250-7 1.400000+7 1.731970-7 1.500000+7 1.603630-7370023544 1914 1.600000+7 1.493020-7 1.800000+7 1.311930-7 2.000000+7 1.169580-7370023544 1915 2.200000+7 1.055240-7 2.400000+7 9.609630-8 2.600000+7 8.820880-8370023544 1916 2.800000+7 8.153480-8 3.000000+7 7.579420-8 3.464100+7 6.515290-8370023544 1917 4.000000+7 5.600560-8 4.472140+7 4.988110-8 5.000000+7 4.442640-8370023544 1918 6.000000+7 3.680500-8 6.928200+7 3.175660-8 8.000000+7 2.740070-8370023544 1919 8.944271+7 2.445360-8 1.000000+8 2.182350-8 0.000000+0 0.000000+0370023544 1920 370023 0 1921 3.700000+4 8.473360+1 0 0 0 0370023545 1922 1.975000+1 0.000000+0 0 0 1 212370023545 1923 212 2 0 0 0 0370023545 1924 1.975000+1 0.000000+0 1.975000+1 7.933990+7 2.043320+1 6.138270+7370023545 1925 2.114000+1 4.748980+7 2.157800+1 4.128880+7 2.225220+1 3.347180+7370023545 1926 2.294740+1 2.713480+7 2.350310+1 2.352920+7 2.436200+1 1.899890+7370023545 1927 2.525230+1 1.534080+7 2.636370+1 1.221480+7 2.752400+1 9.725830+6370023545 1928 2.873530+1 7.887060+6 3.000000+1 6.395930+6 3.171270+1 4.981770+6370023545 1929 3.306100+1 4.130420+6 3.410980+1 3.588820+6 3.574570+1 2.906620+6370023545 1930 3.746000+1 2.354100+6 3.970650+1 1.838960+6 4.147930+1 1.528030+6370023545 1931 4.286070+1 1.329850+6 4.501950+1 1.079710+6 4.728710+1 8.766240+5370023545 1932 5.000000+1 7.035520+5 5.233180+1 5.957000+5 5.477230+1 5.043820+5370023545 1933 5.732660+1 4.373110+5 6.000000+1 3.791590+5 6.480740+1 3.123740+5370023545 1934 7.000000+1 2.687890+5 8.000000+1 2.263360+5 9.000000+1 2.066280+5370023545 1935 1.161900+2 1.805140+5 1.500000+2 1.577000+5 1.732050+2 1.414080+5370023545 1936 2.000000+2 1.267990+5 2.243300+2 1.133540+5 2.516200+2 1.013350+5370023545 1937 2.835140+2 8.821350+4 3.194500+2 7.679110+4 3.574630+2 6.618500+4370023545 1938 4.000000+2 5.704370+4 4.472140+2 4.853400+4 5.000000+2 4.129370+4370023545 1939 5.438790+2 3.604480+4 6.170210+2 2.939540+4 7.000000+2 2.397270+4370023545 1940 7.652860+2 2.039720+4 8.182150+2 1.807000+4 9.045530+2 1.506760+4370023545 1941 1.000000+3 1.256400+4 1.078990+3 1.078960+4 1.209320+3 8.586611+3370023545 1942 1.355400+3 6.833420+3 1.502370+3 5.433790+3 1.622970+3 4.575630+3370023545 1943 1.719720+3 4.022190+3 1.875780+3 3.314970+3 2.046000+3 2.732100+3370023545 1944 2.251440+3 2.163540+3 2.418940+3 1.816200+3 2.552700+3 1.592810+3370023545 1945 2.767320+3 1.308170+3 3.000000+3 1.074400+3 3.223710+3 8.902700+2370023545 1946 3.402370+3 7.731930+2 3.689100+3 6.258040+2 4.000000+3 5.065100+2370023545 1947 4.207960+3 4.398290+2 4.398770+3 3.887250+2 4.753750+3 3.131630+2370023545 1948 5.038660+3 2.662970+2 5.263490+3 2.358110+2 5.619690+3 1.964990+2370023545 1949 6.000000+3 1.637400+2 6.447420+3 1.325060+2 6.804750+3 1.130560+2370023545 1950 7.378210+3 8.910120+1 8.000000+3 7.022200+1 8.545000+3 5.723740+1370023545 1951 9.052250+3 4.786140+1 9.520731+3 4.092630+1 9.950500+3 3.568760+1370023545 1952 1.074980+4 2.808140+1 1.139110+4 2.346090+1 1.189710+4 2.050170+1370023545 1953 1.269860+4 1.674780+1 1.355400+4 1.368120+1 1.444310+4 1.112410+1370023545 1954 1.514790+4 9.525120+0 1.627020+4 7.547070+0 1.747570+4 5.979800+0370023545 1955 1.869690+4 4.746020+0 1.983530+4 3.877190+0 2.088810+4 3.248490+0370023545 1956 2.185510+4 2.782590+0 2.273780+4 2.430090+0 2.436920+4 1.917230+0370023545 1957 2.566920+4 1.604960+0 2.668940+4 1.404610+0 2.829630+4 1.149980+0370023545 1958 3.000000+4 9.415200-1 3.197810+4 7.515820-1 3.381560+4 6.170990-1370023545 1959 3.550980+4 5.193210-1 3.706180+4 4.465620-1 3.847530+4 3.913110-1370023545 1960 4.107990+4 3.105580-1 4.314830+4 2.611310-1 4.476780+4 2.292950-1370023545 1961 4.731160+4 1.886680-1 5.000000+4 1.552400-1 5.221370+4 1.327900-1370023545 1962 5.437800+4 1.147010-1 5.648840+4 9.998650-2 5.854120+4 8.791110-2370023545 1963 6.259340+4 6.906140-2 6.636860+4 5.591500-2 6.985820+4 4.648200-2370023545 1964 7.306180+4 3.954310-2 7.598520+4 3.432690-2 8.138540+4 2.679910-2370023545 1965 8.568600+4 2.225790-2 8.906000+4 1.936460-2 9.437160+4 1.571420-2370023545 1966 1.000000+5 1.275200-2 1.051990+5 1.063370-2 1.099690+5 9.070980-3370023545 1967 1.143200+5 7.893170-3 1.223530+5 6.187960-3 1.287460+5 5.155480-3370023545 1968 1.337590+5 4.495840-3 1.416470+5 3.661190-3 1.500000+5 2.981500-3370023545 1969 1.554920+5 2.628840-3 1.655920+5 2.109060-3 1.735950+5 1.787860-3370023545 1970 1.863300+5 1.395410-3 2.000000+5 1.089100-3 2.103980+5 9.193070-4370023545 1971 2.199390+5 7.926010-4 2.286410+5 6.961440-4 2.447070+5 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1.472990+4-4.989350+0370027506 2332 1.481460+4-5.386440+0 1.485530+4-5.631490+0 1.489550+4-5.916600+0370027506 2333 1.492320+4-6.140260+0 1.495130+4-6.388480+0 1.497020+4-6.562430+0370027506 2334 1.498750+4-6.727020+0 1.500830+4-6.923850+0 1.503480+4-7.164260+0370027506 2335 1.506390+4-7.400600+0 1.509660+4-7.606700+0 1.516310+4-7.738600+0370027506 2336 1.522970+4-7.479790+0 1.529130+4-6.951720+0 1.535040+4-6.347640+0370027506 2337 1.542510+4-5.652130+0 1.549640+4-5.102850+0 1.563000+4-4.395560+0370027506 2338 1.586380+4-3.608060+0 1.603920+4-3.180230+0 1.633160+4-2.640350+0370027506 2339 1.656520+4-2.306880+0 1.718760+4-1.643680+0 1.749870+4-1.384790+0370027506 2340 1.780990+4-1.181740+0 1.856190+4-7.776650-1 1.888800+4-6.276260-1370027506 2341 1.925770+4-4.996150-1 2.018690+4-2.148170-1 2.065660+4-8.826340-2370027506 2342 2.089150+4-3.572650-2 2.112290+4-1.094990-3 2.145900+4 4.933250-2370027506 2343 2.247780+4 2.348110-1 2.280520+4 2.882420-1 2.323500+4 3.487010-1370027506 2344 2.358030+4 3.850460-1 2.389620+4 4.010190-1 2.553990+4 5.148590-1370027506 2345 2.647330+4 5.588860-1 2.720800+4 5.700480-1 2.871890+4 6.244530-1370027506 2346 3.142620+4 6.419990-1 3.405130+4 6.486350-1 3.610940+4 6.437730-1370027506 2347 3.882850+4 6.227280-1 4.276320+4 5.928250-1 4.731160+4 5.436920-1370027506 2348 5.175790+4 5.012680-1 5.498330+4 4.694720-1 5.868070+4 4.384000-1370027506 2349 6.395620+4 4.002140-1 6.874940+4 3.671820-1 7.447229+4 3.315800-1370027506 2350 7.886970+4 3.068970-1 8.487020+4 2.771460-1 9.101570+4 2.514200-1370027506 2351 9.727450+4 2.282580-1 1.051990+5 2.037270-1 1.118040+5 1.855610-1370027506 2352 1.182690+5 1.703010-1 1.294100+5 1.483460-1 1.376470+5 1.342910-1370027506 2353 1.462870+5 1.216640-1 1.558990+5 1.095840-1 1.681800+5 9.653620-2370027506 2354 1.785380+5 8.688510-2 1.973100+5 7.341210-2 2.211170+5 5.990440-2370027506 2355 2.379280+5 5.245850-2 2.519330+5 4.704200-2 2.710810+5 4.090550-2370027506 2356 2.851740+5 3.695440-2 3.054430+5 3.223130-2 3.292420+5 2.773140-2370027506 2357 3.515060+5 2.421870-2 3.793150+5 2.058340-2 4.030490+5 1.791930-2370027506 2358 4.283380+5 1.563410-2 4.598630+5 1.318340-2 5.071490+5 1.037990-2370027506 2359 5.507460+5 8.237130-3 5.882690+5 6.785340-3 6.433520+5 5.073770-3370027506 2360 7.085680+5 3.554440-3 7.798130+5 2.311080-3 8.465560+5 1.418360-3370027506 2361 9.101570+5 7.448260-4 9.806780+5 1.579360-4 1.000000+6 0.000000+0370027506 2362 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0370027506 2363 370027 0 2364 3700 0 0 2365 0 0 0 2366 3.800000+4 8.686740+1 -1 0 2 23800 1451 1 0.000000+0 0.000000+0 0 0 0 63800 1451 2 0.000000+0 0.000000+0 0 0 3 23800 1451 3 0.000000+0 0.000000+0 0 0 137 253800 1451 4 38-SR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3800 1451 6 ----JEF-2 MATERIAL 3800 REVISION 0 3800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3800 1451 8 ------ENDF-6 FORMAT 3800 1451 9 ******************************************************************3800 1451 10 * JEF-2 *3800 1451 11 * DATA TAKEN FROM EPDL *3800 1451 12 ******************************************************************3800 1451 13 =================================================================3800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3800 1451 15 ENDF/B-VI FORMAT 3800 1451 16 =================================================================3800 1451 17 CONTENTS 3800 1451 18 =================================================================3800 1451 19 MF/MT DESCRIPTION 3800 1451 20 =================================================================3800 1451 21 23/501 TOTAL CROSS SECTION 3800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 41 =================================================================3800 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 3800 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 3800 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3800 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 3800 1451 46 =================================================================3800 1451 47 WARNING 3800 1451 48 =================================================================3800 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3800 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3800 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3800 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3800 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3800 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3800 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3800 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3800 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3800 1451 58 =================================================================3800 1451 59 DEFINITION OF NEW TYPES OF DATA 3800 1451 60 =================================================================3800 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3800 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3800 1451 63 3800 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3800 1451 65 C2 FIELDS ARE, 3800 1451 66 3800 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3800 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3800 1451 69 3800 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3800 1451 71 3800 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3800 1451 73 3800 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3800 1451 75 T = THE THOMSON CROSS SECTION 3800 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 3800 1451 77 FF(M) = THE ATOMIC FORM FACTOR 3800 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3800 1451 79 F1(E) = THE REAL SCATTERING FACTOR 3800 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 3800 1451 81 3800 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 3800 1451 83 3800 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3800 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3800 1451 86 =================================================================3800 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3800 1451 88 =================================================================3800 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3800 1451 90 HERE - 10 EV TO 100 MEV 3800 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3800 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 3800 1451 93 HERE - PHOTON INTERACTION 3800 1451 94 - AVERAGE FLUORESCENCE YIELD 3800 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3800 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3800 1451 97 HERE - NO SECONDARY ENERGY DATA 3800 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3800 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 3800 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 3800 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 3800 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3800 1451 103 - SCATTERING FACTORS LINEARLY INTERPOLABLE3800 1451 104 (SINCE THEY CAN BE NEGATIVE). 3800 1451 105 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3800 1451 106 ORDER TO ALLOW CROSS SECTIONS DEFINED 3800 1451 107 BY SUMMATION (E.G., TOTAL) TO BE 3800 1451 108 CONSISTENTLY DEFINED AT ALL ENERGIES. 3800 1451 109 - FORM FACTORS ARE LOG X VS. LOG Y 3800 1451 110 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3800 1451 111 - SCATTERING FACTORS LINEARLY INTERPOLABLE3800 1451 112 =================================================================3800 1451 113 REFERENCES 3800 1451 114 =================================================================3800 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3800 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3800 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3800 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3800 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3800 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3800 1451 121 3800 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3800 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3800 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3800 1451 125 OF THE DATA, ETC. 3800 1451 126 =================================================================3800 1451 127 HISTORY 3800 1451 128 =================================================================3800 1451 129 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3800 1451 130 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3800 1451 131 CROSS SECTIONS. 3800 1451 132 =================================================================3800 1451 133 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3800 1451 134 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3800 1451 135 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3800 1451 136 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3800 1451 137 *RECONSTRUCTED MT NUMBERS 3800 1451 138 516 =+(515,515)+(517,517) 3800 1451 139 522 =+(534,572) 3800 1451 140 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3800 1451 141 1 451 166 13800 1451 142 23 501 450 13800 1451 143 23 502 121 13800 1451 144 23 504 30 13800 1451 145 23 515 30 13800 1451 146 23 516 58 13800 1451 147 23 517 41 13800 1451 148 23 522 291 23800 1451 149 23 534 40 23800 1451 150 23 535 48 23800 1451 151 23 536 56 23800 1451 152 23 537 57 23800 1451 153 23 538 54 23800 1451 154 23 539 60 23800 1451 155 23 540 61 23800 1451 156 23 541 79 23800 1451 157 23 542 79 23800 1451 158 23 543 60 23800 1451 159 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4.362330-7 1.200000+7 3.950010-7 1.300000+7 3.607600-7380023545 1936 1.400000+7 3.319210-7 1.500000+7 3.073730-7 1.600000+7 2.861610-7380023545 1937 1.800000+7 2.513640-7 2.000000+7 2.241140-7 2.200000+7 2.021880-7380023545 1938 2.400000+7 1.841540-7 2.600000+7 1.689800-7 2.800000+7 1.561890-7380023545 1939 3.000000+7 1.451460-7 3.464100+7 1.248140-7 4.000000+7 1.073300-7380023545 1940 4.472140+7 9.556270-8 5.000000+7 8.508560-8 6.000000+7 7.048360-8380023545 1941 6.928200+7 6.081080-8 8.000000+7 5.246550-8 8.944271+7 4.681890-8380023545 1942 1.000000+8 4.178010-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0380023545 1943 380023 0 1944 3.800000+4 8.686740+1 0 0 0 0380023550 1945 5.100000+0 0.000000+0 0 0 1 187380023550 1946 187 2 0 0 0 0380023550 1947 1.000000+1 5.722200+3 1.035460+1 7.043650+3 1.062880+1 8.231411+3380023550 1948 1.105370+1 1.039890+4 1.149560+1 1.313720+4 1.205500+1 1.698490+4380023550 1949 1.264160+1 2.195950+4 1.319390+1 2.674510+4 1.377040+1 3.257370+4380023550 1950 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5.054620+2 1.338340+3 4.120680+2380023550 1963 1.500000+3 3.359300+2 1.653720+3 2.807870+2 1.779250+3 2.454560+2380023550 1964 1.985660+3 2.006180+2 2.216000+3 1.639700+2 2.385780+3 1.416960+2380023550 1965 2.544980+3 1.247030+2 2.849560+3 9.972070+1 3.101690+3 8.432700+1380023550 1966 3.305320+3 7.436230+1 3.636110+3 6.157880+1 4.000000+3 5.099300+1380023550 1967 4.426730+3 4.120720+1 4.776390+3 3.512120+1 5.056650+3 3.115420+1380023550 1968 5.508170+3 2.602780+1 6.000000+3 2.174500+1 6.395620+3 1.886280+1380023550 1969 6.763120+3 1.665600+1 7.457790+3 1.339710+1 8.025230+3 1.137870+1380023550 1970 8.478970+3 1.006700+1 9.208130+3 8.377560+0 1.000000+4 6.971600+0380023550 1971 1.061990+4 6.045670+0 1.119380+4 5.336940+0 1.227380+4 4.290680+0380023550 1972 1.315160+4 3.642930+0 1.385090+4 3.222140+0 1.497020+4 2.680320+0380023550 1973 1.618000+4 2.229600+0 1.706050+4 1.955790+0 1.847190+4 1.606810+0380023550 1974 2.000000+4 1.320100+0 2.103980+4 1.159350+0 2.299120+4 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8.959880+3-9.973550-1 9.599020+3-1.161860+0380027506 2271 1.054710+4-1.393580+0 1.162220+4-1.712810+0 1.268090+4-2.083790+0380027506 2272 1.344590+4-2.427850+0 1.388110+4-2.666150+0 1.465270+4-3.259290+0380027506 2273 1.503850+4-3.711120+0 1.545920+4-4.501500+0 1.561220+4-4.976570+0380027506 2274 1.570190+4-5.373740+0 1.574520+4-5.618840+0 1.578770+4-5.903950+0380027506 2275 1.581700+4-6.127610+0 1.584680+4-6.375840+0 1.586680+4-6.549820+0380027506 2276 1.588520+4-6.714440+0 1.590720+4-6.911330+0 1.593540+4-7.151870+0380027506 2277 1.596620+4-7.388660+0 1.600090+4-7.596880+0 1.606460+4-7.731740+0380027506 2278 1.612820+4-7.540260+0 1.618720+4-7.109410+0 1.624380+4-6.575020+0380027506 2279 1.631530+4-5.911570+0 1.638350+4-5.348140+0 1.647790+4-4.775850+0380027506 2280 1.665480+4-4.077330+0 1.696450+4-3.270170+0 1.719670+4-2.830230+0380027506 2281 1.754500+4-2.319320+0 1.789330+4-1.940630+0 1.851170+4-1.422230+0380027506 2282 1.884260+4-1.194490+0 1.918370+4-1.002260+0 1.995260+4-6.397760-1380027506 2283 2.118020+4-2.498840-1 2.165690+4-1.170690-1 2.189520+4-6.004310-2380027506 2284 2.286570+4 1.159320-1 2.299120+4 1.388390-1 2.340810+4 2.073290-1380027506 2285 2.365370+4 2.391810-1 2.372680+4 2.469160-1 2.398550+4 2.626220-1380027506 2286 2.533460+4 4.138030-1 2.574510+4 4.518800-1 2.600890+4 4.704690-1380027506 2287 2.624580+4 4.786900-1 2.639790+4 4.786760-1 2.681450+4 4.982150-1380027506 2288 2.786460+4 5.525720-1 2.828810+4 5.602050-1 2.862060+4 5.624650-1380027506 2289 3.043390+4 6.249190-1 3.073610+4 6.305600-1 3.197090+4 6.355060-1380027506 2290 3.389300+4 6.499360-1 3.627750+4 6.442570-1 3.856300+4 6.380730-1380027506 2291 4.178060+4 6.205710-1 4.532080+4 5.901440-1 4.794540+4 5.628830-1380027506 2292 5.270230+4 5.230300-1 5.868070+4 4.666480-1 6.364240+4 4.277890-1380027506 2293 6.874940+4 3.892600-1 7.337390+4 3.597410-1 7.886970+4 3.293490-1380027506 2294 8.487020+4 2.998100-1 9.167729+4 2.696090-1 9.826190+4 2.442590-1380027506 2295 1.051990+5 2.215700-1 1.133170+5 1.981190-1 1.218350+5 1.775040-1380027506 2296 1.312290+5 1.582530-1 1.426650+5 1.387890-1 1.507770+5 1.265930-1380027506 2297 1.620290+5 1.125050-1 1.773480+5 9.679290-2 1.892610+5 8.651160-2380027506 2298 2.051330+5 7.515100-2 2.211170+5 6.578880-2 2.379280+5 5.762760-2380027506 2299 2.515410+5 5.184670-2 2.710810+5 4.497840-2 2.851740+5 4.065350-2380027506 2300 3.027790+5 3.605290-2 3.246080+5 3.136770-2 3.497450+5 2.693090-2380027506 2301 3.793150+5 2.267570-2 4.033090+5 1.971600-2 4.283380+5 1.722710-2380027506 2302 4.598630+5 1.453190-2 5.057890+5 1.152820-2 5.507460+5 9.163860-3380027506 2303 5.882690+5 7.548670-3 6.447420+5 5.608540-3 7.088130+5 3.950870-3380027506 2304 7.816480+5 2.542120-3 8.486910+5 1.552000-3 9.101570+5 8.281250-4380027506 2305 9.806780+5 1.759570-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0380027506 2306 380027 0 2307 3800 0 0 2308 0 0 0 2309 3.900000+4 8.814220+1 -1 0 2 23900 1451 1 0.000000+0 0.000000+0 0 0 0 63900 1451 2 0.000000+0 0.000000+0 0 0 3 23900 1451 3 0.000000+0 0.000000+0 0 0 139 273900 1451 4 39-Y LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 3900 1451 6 ----JEF-2 MATERIAL 3900 REVISION 0 3900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3900 1451 8 ------ENDF-6 FORMAT 3900 1451 9 ******************************************************************3900 1451 10 * JEF-2 *3900 1451 11 * DATA TAKEN FROM EPDL *3900 1451 12 ******************************************************************3900 1451 13 =================================================================3900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3900 1451 15 ENDF/B-VI FORMAT 3900 1451 16 =================================================================3900 1451 17 CONTENTS 3900 1451 18 =================================================================3900 1451 19 MF/MT DESCRIPTION 3900 1451 20 =================================================================3900 1451 21 23/501 TOTAL CROSS SECTION 3900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 3900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 43 =================================================================3900 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 3900 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 3900 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3900 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 3900 1451 48 =================================================================3900 1451 49 WARNING 3900 1451 50 =================================================================3900 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3900 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3900 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3900 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3900 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3900 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3900 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3900 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3900 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3900 1451 60 =================================================================3900 1451 61 DEFINITION OF NEW TYPES OF DATA 3900 1451 62 =================================================================3900 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3900 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3900 1451 65 3900 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3900 1451 67 C2 FIELDS ARE, 3900 1451 68 3900 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3900 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3900 1451 71 3900 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3900 1451 73 3900 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3900 1451 75 3900 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3900 1451 77 T = THE THOMSON CROSS SECTION 3900 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 3900 1451 79 FF(M) = THE ATOMIC FORM FACTOR 3900 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3900 1451 81 F1(E) = THE REAL SCATTERING FACTOR 3900 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 3900 1451 83 3900 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 3900 1451 85 3900 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3900 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3900 1451 88 =================================================================3900 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3900 1451 90 =================================================================3900 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3900 1451 92 HERE - 10 EV TO 100 MEV 3900 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3900 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 3900 1451 95 HERE - PHOTON INTERACTION 3900 1451 96 - AVERAGE FLUORESCENCE YIELD 3900 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3900 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3900 1451 99 HERE - NO SECONDARY ENERGY DATA 3900 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3900 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 3900 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 3900 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 3900 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3900 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE3900 1451 106 (SINCE THEY CAN BE NEGATIVE). 3900 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3900 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 3900 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 3900 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 3900 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 3900 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3900 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE3900 1451 114 =================================================================3900 1451 115 REFERENCES 3900 1451 116 =================================================================3900 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3900 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3900 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3900 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3900 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3900 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3900 1451 123 3900 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3900 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3900 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3900 1451 127 OF THE DATA, ETC. 3900 1451 128 =================================================================3900 1451 129 HISTORY 3900 1451 130 =================================================================3900 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 3900 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 3900 1451 133 CROSS SECTIONS. 3900 1451 134 =================================================================3900 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3900 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 3900 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3900 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3900 1451 139 *RECONSTRUCTED MT NUMBERS 3900 1451 140 516 =+(515,515)+(517,517) 3900 1451 141 522 =+(534,572) 3900 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3900 1451 143 1 451 170 13900 1451 144 23 501 479 13900 1451 145 23 502 117 13900 1451 146 23 504 30 13900 1451 147 23 515 30 13900 1451 148 23 516 58 13900 1451 149 23 517 41 13900 1451 150 23 522 325 23900 1451 151 23 534 40 23900 1451 152 23 535 48 23900 1451 153 23 536 55 23900 1451 154 23 537 56 23900 1451 155 23 538 54 23900 1451 156 23 539 60 23900 1451 157 23 540 60 23900 1451 158 23 541 78 23900 1451 159 23 542 80 23900 1451 160 23 543 59 23900 1451 161 23 544 69 23900 1451 162 23 545 70 23900 1451 163 23 546 89 23900 1451 164 23 547 88 23900 1451 165 23 550 65 23900 1451 166 27 502 50 13900 1451 167 27 504 43 13900 1451 168 27 505 98 13900 1451 169 27 506 98 13900 1451 170 3900 1 0 171 3900 0 0 172 3.900000+4 8.814220+1 0 0 0 0390023501 173 0.000000+0 0.000000+0 0 0 1 1428390023501 174 1428 2 0 0 0 0390023501 175 1.000000+1 7.547650+6 1.126160+1 7.620580+6 1.139960+1 7.628640+6390023501 176 1.154780+1 7.637310+6 1.246880+1 7.691150+6 1.288420+1 7.715860+6390023501 177 1.299510+1 7.693620+6 1.321580+1 7.649370+6 1.367600+1 7.557080+6390023501 178 1.499770+1 7.292750+6 1.500000+1 7.292290+6 1.641100+1 6.739900+6390023501 179 1.688590+1 6.554360+6 1.701190+1 6.505130+6 1.795470+1 6.066710+6390023501 180 1.839740+1 5.860490+6 1.887140+1 5.639680+6 1.894980+1 5.603160+6390023501 181 2.000000+1 5.110360+6 2.094430+1 4.656690+6 2.111760+1 4.573430+6390023501 182 2.144350+1 4.416300+6 2.158780+1 4.360510+6 2.273400+1 3.917310+6390023501 183 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196390023544 1861 196 2 0 0 0 0390023544 1862 3.371000+1 0.000000+0 3.371000+1 3.887580+6 3.518310+1 3.325180+6390023544 1863 3.751430+1 2.630390+6 4.000000+1 2.080770+6 4.156830+1 1.762530+6390023544 1864 4.299090+1 1.524260+6 4.559870+1 1.182160+6 4.765780+1 9.769870+5390023544 1865 4.926290+1 8.468330+5 5.177250+1 6.833790+5 5.441000+1 5.514740+5390023544 1866 5.713670+1 4.514580+5 6.000000+1 3.695810+5 6.357060+1 2.998180+5390023544 1867 6.735370+1 2.432240+5 7.000000+1 2.152730+5 7.359450+1 1.883010+5390023544 1868 7.737350+1 1.647090+5 8.000000+1 1.532090+5 9.000000+1 1.268450+5390023544 1869 1.000000+2 1.148720+5 1.224740+2 1.029110+5 1.684100+2 8.896740+4390023544 1870 2.000000+2 7.927310+4 2.234510+2 7.135200+4 2.638830+2 6.092940+4390023544 1871 3.116300+2 5.202920+4 3.530610+2 4.468490+4 4.000000+2 3.837730+4390023544 1872 4.472140+2 3.293430+4 5.000000+2 2.826330+4 5.438790+2 2.484770+4390023544 1873 6.170210+2 2.048240+4 7.000000+2 1.688400+4 7.652860+2 1.447960+4390023544 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1.282800+1 1.433870+4 1.068350+1390023544 1887 1.498850+4 9.313840+0 1.601890+4 7.581460+0 1.712000+4 6.171300+0390023544 1888 1.836350+4 4.902900+0 1.952550+4 4.008860+0 2.060230+4 3.361380+0390023544 1889 2.159320+4 2.881220+0 2.249920+4 2.517690+0 2.417720+4 1.988380+0390023544 1890 2.551730+4 1.665800+0 2.657090+4 1.458700+0 2.823340+4 1.195300+0390023544 1891 3.000000+4 9.794700-1 3.132820+4 8.446220-1 3.262680+4 7.351130-1390023544 1892 3.389300+4 6.453790-1 3.640120+4 5.055970-1 3.874760+4 4.083620-1390023544 1893 4.092450+4 3.387510-1 4.292930+4 2.876480-1 4.476400+4 2.492990-1390023544 1894 4.643350+4 2.199610-1 4.950640+4 1.766820-1 5.194380+4 1.499090-1390023544 1895 5.582680+4 1.171600-1 6.000000+4 9.156500-2 6.353640+4 7.511950-2390023544 1896 6.704080+4 6.239500-2 7.050160+4 5.243050-2 7.390810+4 4.453910-2390023544 1897 7.725110+4 3.822320-2 8.052229+4 3.311790-2 8.371479+4 2.895280-2390023544 1898 8.682260+4 2.552500-2 9.296400+4 2.015390-2 9.869320+4 1.638990-2390023544 1899 1.039950+5 1.367780-2 1.088670+5 1.167560-2 1.133170+5 1.016560-2390023544 1900 1.215470+5 7.977640-3 1.281100+5 6.651680-3 1.332630+5 5.803960-3390023544 1901 1.413840+5 4.730570-3 1.500000+5 3.855700-3 1.611850+5 3.027380-3390023544 1902 1.701190+5 2.525160-3 1.771420+5 2.203970-3 1.882240+5 1.797140-3390023544 1903 2.000000+5 1.465400-3 2.103980+5 1.243800-3 2.199390+5 1.077570-3390023544 1904 2.286410+5 9.504490-4 2.447070+5 7.630000-4 2.574930+5 6.471000-4390023544 1905 2.675180+5 5.718820-4 2.832940+5 4.751260-4 3.000000+5 3.947400-4390023544 1906 3.223710+5 3.167610-4 3.402370+5 2.685640-4 3.542840+5 2.372930-4390023544 1907 3.764490+5 1.970790-4 4.000000+5 1.636800-4 4.229490+5 1.392550-4390023544 1908 4.598630+5 1.092780-4 5.000000+5 8.575400-5 5.233180+5 7.564070-5390023544 1909 5.603490+5 6.266250-5 6.000000+5 5.191100-5 6.447420+5 4.314630-5390023544 1910 6.804750+5 3.755840-5 7.378210+5 3.050360-5 8.000000+5 2.477400-5390023544 1911 8.458970+5 2.170780-5 9.197270+5 1.780510-5 1.000000+6 1.460400-5390023544 1912 1.022000+6 1.393780-5 1.102170+6 1.196170-5 1.188630+6 1.026580-5390023544 1913 1.250000+6 9.344040-6 1.369310+6 7.933590-6 1.500000+6 6.736050-6390023544 1914 1.611850+6 5.957570-6 1.795470+6 4.955240-6 2.000000+6 4.121550-6390023544 1915 2.044000+6 3.978350-6 2.249780+6 3.434110-6 2.417610+6 3.075370-6390023544 1916 2.693110+6 2.606280-6 3.000000+6 2.208750-6 3.464100+6 1.804550-6390023544 1917 4.000000+6 1.474320-6 4.472140+6 1.271080-6 5.000000+6 1.095850-6390023544 1918 5.477230+6 9.757269-7 6.000000+6 8.687720-7 7.000000+6 7.173850-7390023544 1919 8.000000+6 6.105960-7 9.000000+6 5.308790-7 1.000000+7 4.693010-7390023544 1920 1.100000+7 4.203380-7 1.200000+7 3.805140-7 1.300000+7 3.475090-7390023544 1921 1.400000+7 3.197550-7 1.500000+7 2.960240-7 1.600000+7 2.755660-7390023544 1922 1.800000+7 2.420830-7 2.000000+7 2.158290-7 2.200000+7 1.946210-7390023544 1923 2.400000+7 1.772320-7 2.600000+7 1.627070-7 2.800000+7 1.503640-7390023544 1924 3.000000+7 1.397260-7 3.464100+7 1.201070-7 4.000000+7 1.032430-7390023544 1925 4.472140+7 9.195390-8 5.000000+7 8.189920-8 6.000000+7 6.783110-8390023544 1926 6.928200+7 5.852160-8 8.000000+7 5.048970-8 8.944271+7 4.505560-8390023544 1927 1.000000+8 4.020630-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0390023544 1928 390023 0 1929 3.900000+4 8.814220+1 0 0 0 0390023545 1930 3.214000+1 0.000000+0 0 0 1 199390023545 1931 199 2 0 0 0 0390023545 1932 3.214000+1 0.000000+0 3.214000+1 7.839090+6 3.438000+1 6.220880+6390023545 1933 3.570630+1 5.351300+6 3.779220+1 4.269440+6 4.000000+1 3.406290+6390023545 1934 4.145550+1 2.923430+6 4.277250+1 2.557420+6 4.517860+1 2.023690+6390023545 1935 4.707160+1 1.697860+6 4.854320+1 1.488400+6 5.083740+1 1.221640+6390023545 1936 5.324000+1 1.002700+6 5.651900+1 8.016290+5 6.000000+1 6.408780+5390023545 1937 6.357060+1 5.371810+5 6.735370+1 4.502620+5 7.000000+1 4.085950+5390023545 1938 7.737350+1 3.344480+5 8.000000+1 3.178010+5 9.000000+1 2.795800+5390023545 1939 1.000000+2 2.609490+5 1.224740+2 2.366490+5 1.500000+2 2.146120+5390023545 1940 1.732050+2 1.933940+5 2.000000+2 1.742730+5 2.326460+2 1.503110+5390023545 1941 2.706200+2 1.296440+5 2.955570+2 1.162170+5 3.373350+2 9.863790+4390023545 1942 3.850200+2 8.371800+4 4.387600+2 6.949660+4 5.000000+2 5.769100+4390023545 1943 5.438790+2 5.046680+4 6.170210+2 4.129070+4 7.000000+2 3.378300+4390023545 1944 7.652860+2 2.883690+4 8.182150+2 2.560870+4 9.045530+2 2.143110+4390023545 1945 1.000000+3 1.793500+4 1.106680+3 1.466430+4 1.194100+3 1.260910+4390023545 1946 1.338340+3 1.005350+4 1.500000+3 8.015800+3 1.646010+3 6.528430+3390023545 1947 1.764780+3 5.596991+3 1.959180+3 4.442980+3 2.175000+3 3.526900+3390023545 1948 2.357080+3 2.907940+3 2.503580+3 2.516110+3 2.740570+3 2.025090+3390023545 1949 3.000000+3 1.629900+3 3.223710+3 1.356090+3 3.402370+3 1.181370+3390023545 1950 3.689100+3 9.605700+2 4.000000+3 7.810400+2 4.207960+3 6.801140+2390023545 1951 4.398770+3 6.025610+2 4.753750+3 4.875130+2 5.038660+3 4.158860+2390023545 1952 5.498360+3 3.276850+2 6.000000+3 2.581900+2 6.447420+3 2.096950+2390023545 1953 6.804750+3 1.794010+2 7.378210+3 1.419640+2 8.000000+3 1.123400+2390023545 1954 8.458970+3 9.500660+1 8.820401+3 8.378530+1 9.391701+3 6.938880+1390023545 1955 1.000000+4 5.746600+1 1.078990+4 4.540560+1 1.142300+4 3.805250+1390023545 1956 1.192210+4 3.333020+1 1.271190+4 2.732250+1 1.355400+4 2.239770+1390023545 1957 1.422940+4 1.910930+1 1.484800+4 1.663060+1 1.599590+4 1.304110+1390023545 1958 1.691470+4 1.086730+1 1.763820+4 9.478210+0 1.878200+4 7.720280+0390023545 1959 2.000000+4 6.288400+0 2.103980+4 5.299160+0 2.199390+4 4.562110+0390023545 1960 2.286410+4 4.001790+0 2.447070+4 3.181700+0 2.574930+4 2.678940+0390023545 1961 2.675180+4 2.354730+0 2.832940+4 1.940480+0 3.000000+4 1.599100+0390023545 1962 3.197810+4 1.279410+0 3.381560+4 1.052580+0 3.550980+4 8.873460-1390023545 1963 3.706180+4 7.641900-1 3.847530+4 6.705350-1 4.107990+4 5.334040-1390023545 1964 4.314830+4 4.492960-1 4.476780+4 3.950380-1 4.731160+4 3.256870-1390023545 1965 5.000000+4 2.685100-1 5.221370+4 2.299710-1 5.437800+4 1.988800-1390023545 1966 5.648840+4 1.735600-1 5.854120+4 1.527590-1 6.259340+4 1.202410-1390023545 1967 6.636860+4 9.751900-2 6.985820+4 8.118910-2 7.306180+4 6.916000-2390023545 1968 7.598520+4 6.010600-2 8.138540+4 4.701940-2 8.568600+4 3.911080-2390023545 1969 8.906000+4 3.406530-2 9.437160+4 2.769070-2 1.000000+5 2.250900-2390023545 1970 1.051990+5 1.879250-2 1.099690+5 1.604760-2 1.143200+5 1.397670-2390023545 1971 1.223530+5 1.097490-2 1.287460+5 9.154710-3 1.337590+5 7.990580-3390023545 1972 1.416470+5 6.515980-3 1.500000+5 5.313500-3 1.554920+5 4.688330-3390023545 1973 1.655920+5 3.766030-3 1.735950+5 3.195450-3 1.863300+5 2.497500-3390023545 1974 2.000000+5 1.952000-3 2.103980+5 1.648900-3 2.199390+5 1.422550-3390023545 1975 2.286410+5 1.250140-3 2.447070+5 9.971670-4 2.574930+5 8.416360-4390023545 1976 2.675180+5 7.411250-4 2.832940+5 6.124100-4 3.000000+5 5.060500-4390023545 1977 3.223710+5 4.047770-4 3.402370+5 3.423600-4 3.542840+5 3.019490-4390023545 1978 3.764490+5 2.500980-4 4.000000+5 2.071500-4 4.229490+5 1.762910-4390023545 1979 4.598630+5 1.384050-4 5.000000+5 1.086600-4 5.233180+5 9.605050-5390023545 1980 5.603490+5 7.982590-5 6.000000+5 6.634200-5 6.447420+5 5.551360-5390023545 1981 6.804750+5 4.856880-5 7.378210+5 3.974600-5 8.000000+5 3.252600-5390023545 1982 8.458970+5 2.870990-5 9.197270+5 2.380860-5 1.000000+6 1.974400-5390023545 1983 1.022000+6 1.887700-5 1.102170+6 1.623500-5 1.188630+6 1.396270-5390023545 1984 1.250000+6 1.268990-5 1.369310+6 1.075010-5 1.500000+6 9.106860-6390023545 1985 1.611850+6 8.054390-6 1.795470+6 6.699290-6 2.000000+6 5.572170-6390023545 1986 2.044000+6 5.378560-6 2.249780+6 4.642770-6 2.417610+6 4.157770-6390023545 1987 2.693110+6 3.523590-6 3.000000+6 2.986140-6 3.464100+6 2.439680-6390023545 1988 4.000000+6 1.993220-6 4.472140+6 1.718450-6 5.000000+6 1.481550-6390023545 1989 5.477230+6 1.319140-6 6.000000+6 1.174540-6 7.000000+6 9.698750-7390023545 1990 8.000000+6 8.255000-7 9.000000+6 7.177260-7 1.000000+7 6.344750-7390023545 1991 1.100000+7 5.682800-7 1.200000+7 5.144390-7 1.300000+7 4.698180-7390023545 1992 1.400000+7 4.322950-7 1.500000+7 4.002120-7 1.600000+7 3.725540-7390023545 1993 1.800000+7 3.272870-7 2.000000+7 2.917920-7 2.200000+7 2.631200-7390023545 1994 2.400000+7 2.396110-7 2.600000+7 2.199730-7 2.800000+7 2.032860-7390023545 1995 3.000000+7 1.889040-7 3.464100+7 1.623800-7 4.000000+7 1.395810-7390023545 1996 4.472140+7 1.243180-7 5.000000+7 1.107240-7 6.000000+7 9.170480-8390023545 1997 6.928200+7 7.911870-8 8.000000+7 6.826000-8 8.944271+7 6.091320-8390023545 1998 1.000000+8 5.435720-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0390023545 1999 390023 0 2000 3.900000+4 8.814220+1 0 0 0 0390023546 2001 5.240000+0 0.000000+0 0 0 1 256390023546 2002 256 2 0 0 0 0390023546 2003 1.000000+1 2.973860+6 1.288420+1 3.065780+6 1.500000+1 2.909000+6390023546 2004 1.701190+1 2.599730+6 1.894980+1 2.239110+6 2.000000+1 2.040500+6390023546 2005 2.144350+1 1.760250+6 2.299120+1 1.518490+6 2.411000+1 1.342610+6390023546 2006 2.528320+1 1.187110+6 2.676670+1 1.000630+6 2.833730+1 8.434370+5390023546 2007 2.938810+1 7.430730+5 3.103770+1 6.144690+5 3.278000+1 5.081230+5390023546 2008 3.438000+1 4.220350+5 3.638850+1 3.305450+5 3.851430+1 2.588890+5390023546 2009 4.000000+1 2.165030+5 4.200100+1 1.683580+5 4.410200+1 1.309190+5390023546 2010 4.598630+1 1.028280+5 4.795120+1 8.076410+4 4.922200+1 6.819020+4390023546 2011 5.119160+1 5.290260+4 5.324000+1 4.104230+4 5.456460+1 3.442010+4390023546 2012 5.575070+1 2.950830+4 5.680970+1 2.578900+4 5.871150+1 2.037250+4390023546 2013 6.017950+1 1.707070+4 6.130450+1 1.495050+4 6.303160+1 1.225360+4390023546 2014 6.480740+1 1.004320+4 6.735370+1 8.007340+3 7.000000+1 6.790991+3390023546 2015 7.237620+1 6.270330+3 7.561790+1 6.115070+3 7.851180+1 6.337120+3390023546 2016 8.000000+1 6.550750+3 8.485280+1 7.594360+3 9.000000+1 9.033300+3390023546 2017 1.000000+2 1.171210+4 1.106680+2 1.395610+4 1.194100+2 1.524890+4390023546 2018 1.338340+2 1.640010+4 1.500000+2 1.659310+4 1.721200+2 1.579230+4390023546 2019 2.000000+2 1.409450+4 2.212110+2 1.259370+4 2.446710+2 1.125270+4390023546 2020 2.791550+2 9.174250+3 3.185000+2 7.479701+3 3.569310+2 6.049670+3390023546 2021 4.000000+2 4.893040+3 4.229490+2 4.351950+3 4.598630+2 3.650400+3390023546 2022 5.000000+2 3.061950+3 5.477230+2 2.486060+3 6.000000+2 2.018480+3390023546 2023 6.447420+2 1.688770+3 6.804750+2 1.477330+3 7.378210+2 1.208760+3390023546 2024 8.000000+2 9.890190+2 8.458970+2 8.516390+2 9.197270+2 6.805050+2390023546 2025 1.000000+3 5.437600+2 1.078990+3 4.368180+2 1.142300+3 3.706550+2390023546 2026 1.192210+3 3.276970+2 1.271190+3 2.724120+2 1.355400+3 2.264540+2390023546 2027 1.425870+3 1.943810+2 1.500000+3 1.668500+2 1.571310+3 1.439800+2390023546 2028 1.636480+3 1.265550+2 1.757110+3 1.009810+2 1.853380+3 8.525350+1390023546 2029 1.929020+3 7.508710+1 2.048320+3 6.206480+1 2.175000+3 5.130100+1390023546 2030 2.264210+3 4.476580+1 2.429230+3 3.526810+1 2.560830+3 2.949230+1390023546 2031 2.664200+3 2.579010+1 2.827120+3 2.108970+1 3.000000+3 1.724600+1390023546 2032 3.109840+3 1.518070+1 3.311840+3 1.214360+1 3.471900+3 1.027160+1390023546 2033 3.597000+3 9.059530+0 3.793150+3 7.504270+0 4.000000+3 6.216000+0390023546 2034 4.207960+3 5.146020+0 4.398770+3 4.362010+0 4.572820+3 3.774640+0390023546 2035 4.730750+3 3.325950+0 5.020360+3 2.665240+0 5.249150+3 2.257360+0390023546 2036 5.612030+3 1.759540+0 6.000000+3 1.371500+0 6.219690+3 1.192650+0390023546 2037 6.623670+3 9.339310-1 6.943790+3 7.774400-1 7.193991+3 6.775340-1390023546 2038 7.586300+3 5.512230-1 8.000000+3 4.484600-1 8.458970+3 3.589250-1390023546 2039 8.820401+3 3.037130-1 9.391701+3 2.364030-1 1.000000+4 1.840100-1390023546 2040 1.051990+4 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1.804600+3-1.441270+1 1.898720+3-1.597400+1390027506 2478 1.960270+3-1.758370+1 1.998320+3-1.910050+1 2.025510+3-2.075250+1390027506 2479 2.038640+3-2.199900+1 2.045460+3-2.283370+1 2.051230+3-2.365530+1390027506 2480 2.055670+3-2.434570+1 2.058040+3-2.472670+1 2.060880+3-2.518210+1390027506 2481 2.064510+3-2.573990+1 2.068490+3-2.629410+1 2.074070+3-2.685520+1390027506 2482 2.082660+3-2.717450+1 2.089290+3-2.695750+1 2.096620+3-2.632950+1390027506 2483 2.104060+3-2.540950+1 2.115050+3-2.420230+1 2.126100+3-2.347240+1390027506 2484 2.138220+3-2.333530+1 2.150810+3-2.322900+1 2.159150+3-2.300150+1390027506 2485 2.167490+3-2.244790+1 2.176860+3-2.152030+1 2.185910+3-2.045240+1390027506 2486 2.194400+3-1.961760+1 2.215720+3-1.787210+1 2.235060+3-1.686770+1390027506 2487 2.276920+3-1.529970+1 2.313960+3-1.466830+1 2.335610+3-1.475490+1390027506 2488 2.345270+3-1.475150+1 2.354790+3-1.457990+1 2.371000+3-1.386310+1390027506 2489 2.390840+3-1.274130+1 2.415360+3-1.159710+1 2.445690+3-1.064370+1390027506 2490 2.503580+3-9.237790+0 2.578350+3-7.803940+0 2.657950+3-6.657880+0390027506 2491 2.784760+3-5.261700+0 2.856620+3-4.639990+0 3.011550+3-3.540900+0390027506 2492 3.075370+3-3.185770+0 3.293070+3-2.268060+0 3.342590+3-2.098770+0390027506 2493 3.410470+3-1.924480+0 3.555200+3-1.538530+0 3.665540+3-1.344920+0390027506 2494 3.811530+3-1.045740+0 3.895200+3-9.038130-1 4.012620+3-7.613260-1390027506 2495 4.141550+3-6.157840-1 4.289990+3-4.843380-1 4.403100+3-4.072980-1390027506 2496 4.555180+3-3.298730-1 4.598240+3-3.130420-1 4.632070+3-3.022910-1390027506 2497 4.941620+3-2.522430-1 5.263490+3-2.167510-1 5.302550+3-2.163690-1390027506 2498 5.619690+3-2.254930-1 6.000000+3-2.329110-1 6.402741+3-2.605960-1390027506 2499 6.534060+3-2.804660-1 6.621000+3-3.005830-1 6.674710+3-3.135590-1390027506 2500 7.222221+3-4.154690-1 7.362210+3-4.536400-1 7.624110+3-5.172630-1390027506 2501 8.150931+3-6.363450-1 8.432290+3-7.085120-1 9.339571+3-8.993980-1390027506 2502 1.007390+4-1.081590+0 1.101430+4-1.312740+0 1.194190+4-1.569910+0390027506 2503 1.255090+4-1.746680+0 1.351600+4-2.078550+0 1.414290+4-2.339970+0390027506 2504 1.470830+4-2.639520+0 1.550360+4-3.222470+0 1.591180+4-3.677310+0390027506 2505 1.635690+4-4.469900+0 1.651880+4-4.945990+0 1.661380+4-5.343750+0390027506 2506 1.665950+4-5.589120+0 1.670450+4-5.874530+0 1.673550+4-6.098420+0390027506 2507 1.676710+4-6.346870+0 1.678820+4-6.520990+0 1.680770+4-6.685750+0390027506 2508 1.683100+4-6.882720+0 1.686070+4-7.123280+0 1.689340+4-7.359940+0390027506 2509 1.693000+4-7.567120+0 1.700150+4-7.700730+0 1.707300+4-7.471810+0390027506 2510 1.713920+4-6.985950+0 1.720270+4-6.410620+0 1.728300+4-5.726990+0390027506 2511 1.735950+4-5.171090+0 1.751500+4-4.408660+0 1.778710+4-3.587600+0390027506 2512 1.799120+4-3.147130+0 1.829740+4-2.637600+0 1.860350+4-2.259400+0390027506 2513 1.911440+4-1.765480+0 1.949760+4-1.453160+0 2.007230+4-1.071070+0390027506 2514 2.035970+4-9.163840-1 2.142150+4-5.124520-1 2.176890+4-3.942740-1390027506 2515 2.263170+4-1.716960-1 2.309430+4-7.841560-2 2.348290+4-7.784220-3390027506 2516 2.397580+4 8.242590-2 2.428330+4 1.394830-1 2.487780+4 2.363640-1390027506 2517 2.517510+4 2.753510-1 2.539810+4 2.966180-1 2.560680+4 3.059540-1390027506 2518 2.613550+4 3.558400-1 2.684800+4 4.257080-1 2.738960+4 4.663090-1390027506 2519 2.752930+4 4.725210-1 2.774520+4 4.753870-1 2.910330+4 5.439310-1390027506 2520 2.936500+4 5.551860-1 3.000000+4 5.648000-1 3.137720+4 6.102060-1390027506 2521 3.288400+4 6.254370-1 3.407020+4 6.482350-1 3.755610+4 6.524100-1390027506 2522 4.107990+4 6.444340-1 4.395060+4 6.287750-1 4.696880+4 6.017540-1390027506 2523 5.109490+4 5.655130-1 5.478030+4 5.295840-1 5.868070+4 4.956190-1390027506 2524 6.445340+4 4.497890-1 6.874940+4 4.165320-1 7.337390+4 3.859380-1390027506 2525 7.886970+4 3.542560-1 8.487020+4 3.231230-1 9.167729+4 2.910900-1390027506 2526 9.714500+4 2.680340-1 1.060220+5 2.372060-1 1.132640+5 2.150110-1390027506 2527 1.218350+5 1.927610-1 1.312290+5 1.720990-1 1.426650+5 1.511270-1390027506 2528 1.527210+5 1.353480-1 1.620290+5 1.228550-1 1.735950+5 1.094820-1390027506 2529 1.891320+5 9.492740-2 2.051330+5 8.239760-2 2.211170+5 7.216000-2390027506 2530 2.379280+5 6.328600-2 2.515410+5 5.696460-2 2.720890+5 4.907150-2390027506 2531 2.903370+5 4.318480-2 3.054430+5 3.899470-2 3.246080+5 3.449020-2390027506 2532 3.544470+5 2.885830-2 3.793150+5 2.495150-2 4.049960+5 2.150660-2390027506 2533 4.283380+5 1.897180-2 4.598630+5 1.601510-2 5.042090+5 1.279870-2390027506 2534 5.507460+5 1.009870-2 5.882690+5 8.318590-3 6.433520+5 6.221250-3390027506 2535 7.085680+5 4.358760-3 7.798130+5 2.832810-3 8.465560+5 1.739030-3390027506 2536 9.101570+5 9.132960-4 9.807260+5 1.930330-4 1.000000+6 0.000000+0390027506 2537 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0390027506 2538 390027 0 2539 3900 0 0 2540 0 0 0 2541 4.000000+4 9.043640+1 -1 0 2 24000 1451 1 0.000000+0 0.000000+0 0 0 0 64000 1451 2 0.000000+0 0.000000+0 0 0 3 24000 1451 3 0.000000+0 0.000000+0 0 0 139 274000 1451 4 40-ZR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4000 1451 6 ----JEF-2 MATERIAL 4000 REVISION 0 4000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4000 1451 8 ------ENDF-6 FORMAT 4000 1451 9 ******************************************************************4000 1451 10 * JEF-2 *4000 1451 11 * DATA TAKEN FROM EPDL *4000 1451 12 ******************************************************************4000 1451 13 =================================================================4000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4000 1451 15 ENDF/B-VI FORMAT 4000 1451 16 =================================================================4000 1451 17 CONTENTS 4000 1451 18 =================================================================4000 1451 19 MF/MT DESCRIPTION 4000 1451 20 =================================================================4000 1451 21 23/501 TOTAL CROSS SECTION 4000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 43 =================================================================4000 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4000 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4000 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4000 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4000 1451 48 =================================================================4000 1451 49 WARNING 4000 1451 50 =================================================================4000 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4000 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4000 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4000 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4000 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4000 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4000 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4000 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4000 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4000 1451 60 =================================================================4000 1451 61 DEFINITION OF NEW TYPES OF DATA 4000 1451 62 =================================================================4000 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4000 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4000 1451 65 4000 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4000 1451 67 C2 FIELDS ARE, 4000 1451 68 4000 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4000 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4000 1451 71 4000 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4000 1451 73 4000 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4000 1451 75 4000 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4000 1451 77 T = THE THOMSON CROSS SECTION 4000 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4000 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4000 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4000 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4000 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4000 1451 83 4000 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4000 1451 85 4000 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4000 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4000 1451 88 =================================================================4000 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4000 1451 90 =================================================================4000 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4000 1451 92 HERE - 10 EV TO 100 MEV 4000 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4000 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4000 1451 95 HERE - PHOTON INTERACTION 4000 1451 96 - AVERAGE FLUORESCENCE YIELD 4000 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4000 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4000 1451 99 HERE - NO SECONDARY ENERGY DATA 4000 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4000 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4000 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4000 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4000 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4000 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4000 1451 106 (SINCE THEY CAN BE NEGATIVE). 4000 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4000 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4000 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4000 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4000 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4000 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4000 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4000 1451 114 =================================================================4000 1451 115 REFERENCES 4000 1451 116 =================================================================4000 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4000 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4000 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4000 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4000 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4000 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4000 1451 123 4000 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4000 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4000 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4000 1451 127 OF THE DATA, ETC. 4000 1451 128 =================================================================4000 1451 129 HISTORY 4000 1451 130 =================================================================4000 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4000 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4000 1451 133 CROSS SECTIONS. 4000 1451 134 =================================================================4000 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4000 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4000 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4000 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4000 1451 139 *RECONSTRUCTED MT NUMBERS 4000 1451 140 516 =+(515,515)+(517,517) 4000 1451 141 522 =+(534,572) 4000 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4000 1451 143 1 451 170 14000 1451 144 23 501 474 14000 1451 145 23 502 114 14000 1451 146 23 504 30 14000 1451 147 23 515 30 14000 1451 148 23 516 58 14000 1451 149 23 517 41 14000 1451 150 23 522 323 24000 1451 151 23 534 40 24000 1451 152 23 535 47 24000 1451 153 23 536 54 24000 1451 154 23 537 56 24000 1451 155 23 538 53 24000 1451 156 23 539 59 24000 1451 157 23 540 60 24000 1451 158 23 541 78 24000 1451 159 23 542 77 24000 1451 160 23 543 58 24000 1451 161 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1.023200+3 3.223710+3 8.558240+2 3.402370+3 7.485180+2400023544 1862 3.689100+3 6.122500+2 4.000000+3 5.007900+2 4.207960+3 4.377580+2400023544 1863 4.598240+3 3.459370+2 4.914520+3 2.899470+2 5.165930+3 2.539860+2400023544 1864 5.567370+3 2.082320+2 6.000000+3 1.707200+2 6.447420+3 1.394210+2400023544 1865 6.804750+3 1.197740+2 7.378210+3 9.536960+1 8.000000+3 7.593800+1400023544 1866 8.458970+3 6.450410+1 8.820401+3 5.707330+1 9.391701+3 4.750090+1400023544 1867 1.000000+4 3.953400+1 1.051990+4 3.387210+1 1.099690+4 2.958730+1400023544 1868 1.188440+4 2.335150+1 1.259670+4 1.955330+1 1.315870+4 1.711600+1400023544 1869 1.404920+4 1.401750+1 1.500000+4 1.148000+1 1.611850+4 9.140030+0400023544 1870 1.701190+4 7.703740+0 1.771420+4 6.776690+0 1.882240+4 5.591020+0400023544 1871 2.000000+4 4.612800+0 2.103980+4 3.905890+0 2.199390+4 3.376800+0400023544 1872 2.286410+4 2.972980+0 2.447070+4 2.379000+0 2.574930+4 2.012780+0400023544 1873 2.675180+4 1.775620+0 2.832940+4 1.471220+0 3.000000+4 1.219000+0400023544 1874 3.132820+4 1.052050+0 3.262680+4 9.163570-1 3.389300+4 8.050860-1400023544 1875 3.640120+4 6.315760-1 3.874760+4 5.107230-1 4.092450+4 4.241070-1400023544 1876 4.292930+4 3.604580-1 4.476400+4 3.126520-1 4.643350+4 2.760530-1400023544 1877 4.950640+4 2.220090-1 5.194380+4 1.885400-1 5.582680+4 1.475560-1400023544 1878 6.000000+4 1.154800-1 6.353640+4 9.482100-2 6.704080+4 7.882300-2400023544 1879 7.050160+4 6.628520-2 7.390810+4 5.634850-2 7.725110+4 4.839020-2400023544 1880 8.052229+4 4.195310-2 8.371479+4 3.669830-2 8.682260+4 3.237130-2400023544 1881 9.296400+4 2.558580-2 9.869320+4 2.082610-2 1.039950+5 1.739370-2400023544 1882 1.088670+5 1.485770-2 1.133170+5 1.294400-2 1.215470+5 1.016880-2400023544 1883 1.281100+5 8.485350-3 1.332630+5 7.408340-3 1.413840+5 6.043620-3400023544 1884 1.500000+5 4.930300-3 1.611850+5 3.874410-3 1.701190+5 3.233740-3400023544 1885 1.771420+5 2.823780-3 1.882240+5 2.304180-3 2.000000+5 1.880200-3400023544 1886 2.103980+5 1.596710-3 2.199390+5 1.383950-3 2.286410+5 1.221170-3400023544 1887 2.447070+5 9.810170-4 2.574930+5 8.324370-4 2.779350+5 6.506750-4400023544 1888 3.000000+5 5.086000-4 3.223710+5 4.083990-4 3.402370+5 3.464300-4400023544 1889 3.542840+5 3.062060-4 3.764490+5 2.544550-4 4.000000+5 2.114500-4400023544 1890 4.229490+5 1.799610-4 4.598630+5 1.412970-4 5.000000+5 1.109400-4400023544 1891 5.233180+5 9.788220-5 5.603490+5 8.111980-5 6.000000+5 6.722800-5400023544 1892 6.447420+5 5.589590-5 6.804750+5 4.866900-5 7.378210+5 3.954230-5400023544 1893 8.000000+5 3.212700-5 8.458970+5 2.815720-5 9.197270+5 2.310300-5400023544 1894 1.000000+6 1.895600-5 1.022000+6 1.809170-5 1.102170+6 1.552590-5400023544 1895 1.188630+6 1.332400-5 1.250000+6 1.212630-5 1.369310+6 1.029390-5400023544 1896 1.500000+6 8.738430-6 1.611850+6 7.728370-6 1.795470+6 6.427910-6400023544 1897 2.000000+6 5.346280-6 2.044000+6 5.160320-6 2.249780+6 4.453170-6400023544 1898 2.417610+6 3.987160-6 2.693110+6 3.377970-6 3.000000+6 2.861850-6400023544 1899 3.464100+6 2.337500-6 4.000000+6 1.909220-6 4.472140+6 1.646020-6400023544 1900 5.000000+6 1.419110-6 5.477230+6 1.263190-6 6.000000+6 1.124410-6400023544 1901 7.000000+6 9.282120-7 8.000000+6 7.895310-7 9.000000+6 6.865460-7400023544 1902 1.000000+7 6.068040-7 1.100000+7 5.434530-7 1.200000+7 4.919210-7400023544 1903 1.300000+7 4.492130-7 1.400000+7 4.132830-7 1.500000+7 3.826310-7400023544 1904 1.600000+7 3.561560-7 1.800000+7 3.128180-7 2.000000+7 2.788570-7400023544 1905 2.200000+7 2.515150-7 2.400000+7 2.289800-7 2.600000+7 2.102270-7400023544 1906 2.800000+7 1.942310-7 3.000000+7 1.805210-7 3.464100+7 1.551830-7400023544 1907 4.000000+7 1.334010-7 4.472140+7 1.187700-7 5.000000+7 1.057440-7400023544 1908 6.000000+7 8.762060-8 6.928200+7 7.558080-8 8.000000+7 6.519540-8400023544 1909 8.944271+7 5.817940-8 1.000000+8 5.191840-8 0.000000+0 0.000000+0400023544 1910 400023 0 1911 4.000000+4 9.043640+1 0 0 0 0400023545 1912 3.674000+1 0.000000+0 0 0 1 197400023545 1913 197 2 0 0 0 0400023545 1914 3.674000+1 0.000000+0 3.674000+1 5.192550+6 3.940000+1 4.278330+6400023545 1915 4.197650+1 3.383260+6 4.472140+1 2.675450+6 4.611970+1 2.349570+6400023545 1916 4.867280+1 1.871870+6 5.068000+1 1.578490+6 5.223950+1 1.389040+6400023545 1917 5.466920+1 1.146630+6 5.721190+1 9.465330+5 6.116000+1 7.385110+5400023545 1918 6.433600+1 6.251910+5 6.767690+1 5.292600+5 7.000000+1 4.814120+5400023545 1919 7.737350+1 3.810680+5 8.000000+1 3.582200+5 9.000000+1 3.059600+5400023545 1920 1.000000+2 2.818900+5 1.224740+2 2.567370+5 1.500000+2 2.338280+5400023545 1921 1.732050+2 2.121520+5 2.000000+2 1.924850+5 2.328440+2 1.665350+5400023545 1922 2.710810+2 1.440840+5 3.088280+2 1.235600+5 3.518300+2 1.059590+5400023545 1923 3.841420+2 9.382229+4 4.382590+2 7.817329+4 5.000000+2 6.513450+4400023545 1924 5.438790+2 5.703160+4 6.170210+2 4.672740+4 7.000000+2 3.828500+4400023545 1925 7.652860+2 3.272430+4 8.182150+2 2.909050+4 9.045530+2 2.438230+4400023545 1926 1.000000+3 2.043600+4 1.106680+3 1.674940+4 1.194100+3 1.442790+4400023545 1927 1.338340+3 1.153470+4 1.500000+3 9.221701+3 1.658180+3 7.402860+3400023545 1928 1.787660+3 6.278280+3 1.891370+3 5.548450+3 2.058310+3 4.609650+3400023545 1929 2.240000+3 3.829700+3 2.409720+3 3.218550+3 2.545390+3 2.825090+3400023545 1930 2.763360+3 2.323220+3 3.000000+3 1.910500+3 3.223710+3 1.592580+3400023545 1931 3.402370+3 1.389370+3 3.689100+3 1.132120+3 4.000000+3 9.225000+2400023545 1932 4.207960+3 8.043910+2 4.598240+3 6.329130+2 4.914520+3 5.287510+2400023545 1933 5.165930+3 4.620420+2 5.567370+3 3.774220+2 6.000000+3 3.083000+2400023545 1934 6.447420+3 2.508430+2 6.804750+3 2.148940+2 7.378210+3 1.703940+2400023545 1935 8.000000+3 1.351100+2 8.458970+3 1.144150+2 8.820401+3 1.010020+2400023545 1936 9.391701+3 8.377250+1 1.000000+4 6.948200+1 1.078990+4 5.499250+1400023545 1937 1.142300+4 4.614530+1 1.192210+4 4.045710+1 1.271190+4 3.321210+1400023545 1938 1.355400+4 2.726450+1 1.422940+4 2.328780+1 1.484800+4 2.028700+1400023545 1939 1.599590+4 1.593590+1 1.691470+4 1.329670+1 1.763820+4 1.160830+1400023545 1940 1.878200+4 9.469100+0 2.000000+4 7.724100+0 2.103980+4 6.515490+0400023545 1941 2.199390+4 5.614150+0 2.286410+4 4.928380+0 2.447070+4 3.923640+0400023545 1942 2.574930+4 3.306950+0 2.675180+4 2.908920+0 2.832940+4 2.399870+0400023545 1943 3.000000+4 1.979900+0 3.197810+4 1.585830+0 3.381560+4 1.305930+0400023545 1944 3.550980+4 1.101850+0 3.706180+4 9.496220-1 3.847530+4 8.337780-1400023545 1945 4.107990+4 6.640110-1 4.314830+4 5.597820-1 4.476780+4 4.924950-1400023545 1946 4.731160+4 4.064210-1 5.000000+4 3.353900-1 5.221370+4 2.874340-1400023545 1947 5.437800+4 2.487210-1 5.648840+4 2.171780-1 5.854120+4 1.912490-1400023545 1948 6.259340+4 1.506840-1 6.636860+4 1.223140-1 6.985820+4 1.019090-1400023545 1949 7.306180+4 8.686680-2 7.598520+4 7.553800-2 8.138540+4 5.915090-2400023545 1950 8.568600+4 4.923890-2 8.906000+4 4.291100-2 9.437160+4 3.491070-2400023545 1951 1.000000+5 2.840200-2 1.051990+5 2.372640-2 1.099690+5 2.027120-2400023545 1952 1.143200+5 1.766330-2 1.223530+5 1.388060-2 1.287460+5 1.158540-2400023545 1953 1.337590+5 1.011660-2 1.416470+5 8.255160-3 1.500000+5 6.736200-3400023545 1954 1.554920+5 5.945540-3 1.655920+5 4.778600-3 1.735950+5 4.056320-3400023545 1955 1.863300+5 3.172340-3 2.000000+5 2.481000-3 2.103980+5 2.096630-3400023545 1956 2.199390+5 1.809480-3 2.286410+5 1.590680-3 2.447070+5 1.269500-3400023545 1957 2.574930+5 1.071940-3 2.675180+5 9.442190-4 2.832940+5 7.805980-4400023545 1958 3.000000+5 6.453300-4 3.223710+5 5.163630-4 3.402370+5 4.368530-4400023545 1959 3.542840+5 3.853630-4 3.764490+5 3.192810-4 4.000000+5 2.645300-4400023545 1960 4.229490+5 2.251530-4 4.598630+5 1.767990-4 5.000000+5 1.388300-4400023545 1961 5.233180+5 1.227400-4 5.603490+5 1.020320-4 6.000000+5 8.481800-5400023545 1962 6.447420+5 7.097330-5 6.804750+5 6.209410-5 7.378210+5 5.081400-5400023545 1963 8.000000+5 4.158300-5 8.458970+5 3.669820-5 9.197270+5 3.042550-5400023545 1964 1.000000+6 2.522500-5 1.022000+6 2.411600-5 1.102170+6 2.073730-5400023545 1965 1.188630+6 1.783200-5 1.250000+6 1.620530-5 1.369310+6 1.372730-5400023545 1966 1.500000+6 1.162830-5 1.611850+6 1.028420-5 1.795470+6 8.553690-6400023545 1967 2.000000+6 7.114360-6 2.044000+6 6.866910-6 2.249780+6 5.925900-6400023545 1968 2.417610+6 5.305770-6 2.693110+6 4.495110-6 3.000000+6 3.808310-6400023545 1969 3.464100+6 3.110540-6 4.000000+6 2.540620-6 4.472140+6 2.190380-6400023545 1970 5.000000+6 1.888430-6 5.477230+6 1.680950-6 6.000000+6 1.496270-6400023545 1971 7.000000+6 1.235180-6 8.000000+6 1.050640-6 9.000000+6 9.135950-7400023545 1972 1.000000+7 8.074830-7 1.100000+7 7.231800-7 1.200000+7 6.546050-7400023545 1973 1.300000+7 5.977740-7 1.400000+7 5.499610-7 1.500000+7 5.091720-7400023545 1974 1.600000+7 4.739410-7 1.800000+7 4.162710-7 2.000000+7 3.710790-7400023545 1975 2.200000+7 3.346950-7 2.400000+7 3.047070-7 2.600000+7 2.797510-7400023545 1976 2.800000+7 2.584660-7 3.000000+7 2.402210-7 3.464100+7 2.065030-7400023545 1977 4.000000+7 1.775180-7 4.472140+7 1.580480-7 5.000000+7 1.407140-7400023545 1978 6.000000+7 1.165980-7 6.928200+7 1.005760-7 8.000000+7 8.675640-8400023545 1979 8.944271+7 7.742010-8 1.000000+8 6.908850-8 0.000000+0 0.000000+0400023545 1980 400023 0 1981 4.000000+4 9.043640+1 0 0 0 0400023546 1982 6.670000+0 0.000000+0 0 0 1 253400023546 1983 253 2 0 0 0 0400023546 1984 1.000000+1 3.999490+6 1.288420+1 5.093300+6 1.500000+1 5.541020+6400023546 1985 1.701190+1 5.583980+6 1.894980+1 5.303680+6 2.000000+1 5.048790+6400023546 1986 2.213360+1 4.397140+6 2.388200+1 3.820570+6 2.528320+1 3.347180+6400023546 1987 2.676670+1 2.932440+6 2.833730+1 2.496290+6 3.000000+1 2.125010+6400023546 1988 3.154200+1 1.804940+6 3.316320+1 1.533080+6 3.525090+1 1.217990+6400023546 1989 3.747000+1 9.676580+5 3.871430+1 8.426020+5 4.000000+1 7.337070+5400023546 1990 4.200100+1 5.830220+5 4.410200+1 4.632840+5 4.598630+1 3.705280+5400023546 1991 4.795120+1 2.963430+5 5.000000+1 2.323500+5 5.113550+1 2.016090+5400023546 1992 5.288740+1 1.629530+5 5.469920+1 1.317080+5 5.624740+1 1.083550+5400023546 1993 5.743730+1 9.359950+4 5.926940+1 7.514720+4 6.116000+1 6.033260+4400023546 1994 6.272790+1 4.998610+4 6.393010+1 4.340820+4 6.577680+1 3.512820+4400023546 1995 6.767690+1 2.842760+4 7.000000+1 2.281080+4 7.328800+1 1.787740+4400023546 1996 7.561790+1 1.584730+4 7.851180+1 1.453020+4 8.000000+1 1.428680+4400023546 1997 8.239070+1 1.443140+4 8.611130+1 1.560970+4 9.279620+1 1.917850+4400023546 1998 1.000000+2 2.356320+4 1.106680+2 2.931430+4 1.194100+2 3.298310+4400023546 1999 1.338340+2 3.688260+4 1.500000+2 3.855430+4 1.688680+2 3.806700+4400023546 2000 2.000000+2 3.449630+4 2.388200+2 2.891890+4 2.676680+2 2.469150+4400023546 2001 3.000000+2 2.108200+4 3.248830+2 1.845290+4 3.518300+2 1.615160+4400023546 2002 3.891820+2 1.333240+4 4.305000+2 1.100520+4 4.639500+2 9.413380+3400023546 2003 5.000000+2 8.051810+3 5.477230+2 6.567090+3 6.000000+2 5.356140+3400023546 2004 6.447420+2 4.495860+3 6.804750+2 3.942610+3 7.378210+2 3.237720+3400023546 2005 8.000000+2 2.658860+3 8.458970+2 2.295950+3 9.197270+2 1.842310+3400023546 2006 1.000000+3 1.478300+3 1.078990+3 1.192030+3 1.142300+3 1.014340+3400023546 2007 1.244300+3 7.962030+2 1.355400+3 6.249790+2 1.425870+3 5.376130+2400023546 2008 1.500000+3 4.624600+2 1.575520+3 3.963390+2 1.644700+3 3.462860+2400023546 2009 1.773180+3 2.734190+2 1.876070+3 2.290210+2 1.957150+3 2.005210+2400023546 2010 2.085370+3 1.642810+2 2.222000+3 1.345900+2 2.306970+3 1.186720+2400023546 2011 2.463550+3 9.521020+1 2.587920+3 8.071150+1 2.786350+3 6.299610+1400023546 2012 3.000000+3 4.916900+1 3.109840+3 4.333810+1 3.311840+3 3.474820+1400023546 2013 3.471900+3 2.944280+1 3.726600+3 2.296410+1 4.000000+3 1.791100+1400023546 2014 4.229490+3 1.461390+1 4.410200+3 1.254590+1 4.695850+3 9.979380+0400023546 2015 5.000000+3 7.937900+0 5.233180+3 6.690810+0 5.415170+3 5.885840+0400023546 2016 5.700090+3 4.856270+0 6.000000+3 4.006800+0 6.219690+3 3.487940+0400023546 2017 6.623670+3 2.736330+0 6.943790+3 2.280970+0 7.193991+3 1.989900+0400023546 2018 7.586300+3 1.621440+0 8.000000+3 1.321200+0 8.458970+3 1.059110+0400023546 2019 8.820401+3 8.972570-1 9.391701+3 6.996550-1 1.000000+4 5.455700-1400023546 2020 1.051990+4 4.435220-1 1.099690+4 3.700170-1 1.143200+4 3.157660-1400023546 2021 1.182690+4 2.748620-1 1.255090+4 2.156150-1 1.312290+4 1.797220-1400023546 2022 1.356890+4 1.567810-1 1.426650+4 1.277410-1 1.500000+4 1.040800-1400023546 2023 1.554920+4 8.949060-2 1.604630+4 7.841270-2 1.695460+4 6.222310-2400023546 2024 1.766950+4 5.231500-2 1.822530+4 4.593370-2 1.909200+4 3.779120-2400023546 2025 2.000000+4 3.109200-2 2.088550+4 2.581510-2 2.175120+4 2.168440-2400023546 2026 2.259530+4 1.841420-2 2.341650+4 1.579780-2 2.421340+4 1.368360-2400023546 2027 2.498510+4 1.195920-2 2.649890+4 9.290120-3 2.789860+4 7.448170-3400023546 2028 2.918380+4 6.138670-3 3.035680+4 5.183180-3 3.142190+4 4.469950-3400023546 2029 3.238440+4 3.926860-3 3.414020+4 3.130380-3 3.551930+4 2.640950-3400023546 2030 3.659010+4 2.324780-3 3.825710+4 1.920060-3 4.000000+4 1.585800-3400023546 2031 4.177100+4 1.314480-3 4.350240+4 1.102430-3 4.519070+4 9.348080-4400023546 2032 4.683290+4 8.008880-4 4.842670+4 6.928160-4 4.997010+4 6.047820-4400023546 2033 5.146170+4 5.324370-4 5.437950+4 4.192990-4 5.706790+4 3.402100-4400023546 2034 5.952910+4 2.833460-4 6.176950+4 2.414440-4 6.379900+4 2.098960-4400023546 2035 6.751230+4 1.642780-4 7.043840+4 1.366980-4 7.271590+4 1.190970-4400023546 2036 7.627110+4 9.685140-5 8.000000+4 7.876100-5 8.458970+4 6.202530-5400023546 2037 8.820400+4 5.185160-5 9.101570+4 4.533230-5 9.540210+4 3.705740-5400023546 2038 1.000000+5 3.029300-5 1.051990+5 2.449150-5 1.099690+5 2.033440-5400023546 2039 1.143200+5 1.728000-5 1.182690+5 1.498620-5 1.255090+5 1.168030-5400023546 2040 1.312290+5 9.688860-6 1.356890+5 8.421470-6 1.426650+5 6.824330-6400023546 2041 1.500000+5 5.530100-6 1.554920+5 4.779260-6 1.604630+5 4.206400-6400023546 2042 1.695460+5 3.364120-6 1.766950+5 2.845070-6 1.879870+5 2.212710-6400023546 2043 2.000000+5 1.720900-6 2.103980+5 1.414710-6 2.199390+5 1.191830-6400023546 2044 2.286410+5 1.025810-6 2.365370+5 8.996330-7 2.510180+5 7.150080-7400023546 2045 2.624580+5 6.018590-7 2.713780+5 5.289110-7 2.853300+5 4.357270-7400023546 2046 3.000000+5 3.589600-7 3.109840+5 3.149630-7 3.311840+5 2.505430-7400023546 2047 3.471900+5 2.110320-7 3.597000+5 1.855450-7 3.793150+5 1.529680-7400023546 2048 4.000000+5 1.261100-7 4.229490+5 1.041960-7 4.410200+5 9.029710-8400023546 2049 4.695850+5 7.284690-8 5.000000+5 5.876900-8 5.233180+5 5.065800-8400023546 2050 5.603490+5 4.054130-8 6.000000+5 3.244500-8 6.447420+5 2.609580-8400023546 2051 6.804750+5 2.216340-8 7.378210+5 1.734750-8 8.000000+5 1.357800-8400023546 2052 8.458970+5 1.162510-8 9.197270+5 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5.148690-2 2.574930+5 4.567640-2400027505 2413 2.720890+5 4.105870-2 2.851740+5 3.760170-2 3.028740+5 3.374550-2400027505 2414 3.279900+5 2.932120-2 3.544470+5 2.554380-2 3.793150+5 2.265790-2400027505 2415 4.049960+5 2.023650-2 4.283380+5 1.857760-2 4.598630+5 1.648220-2400027505 2416 5.046200+5 1.421870-2 5.530550+5 1.232030-2 5.882690+5 1.128990-2400027505 2417 6.447420+5 9.928910-3 7.085680+5 8.710400-3 7.798130+5 7.750130-3400027505 2418 8.486910+5 6.999400-3 9.101570+5 6.455040-3 9.808180+5 1.781990-3400027505 2419 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0400027505 2420 400027 0 2421 4.000000+4 9.043640+1 0 0 0 0400027506 2422 0.000000+0 4.000000+1 0 0 1 269400027506 2423 269 2 0 0 0 0400027506 2424 1.000000+1-4.064950+1 1.228630+1-4.069600+1 1.508590+1-4.054850+1400027506 2425 1.701190+1-4.030810+1 1.946780+1-3.996020+1 2.291050+1-3.955050+1400027506 2426 2.601440+1-3.947500+1 3.095120+1-4.019920+1 3.378080+1-4.151810+1400027506 2427 3.531710+1-4.315470+1 3.585100+1-4.434540+1 3.600410+1-4.489140+1400027506 2428 3.610130+1-4.531650+1 3.616840+1-4.564720+1 3.623660+1-4.601240+1400027506 2429 3.628230+1-4.626780+1 3.634350+1-4.661890+1 3.637470+1-4.679770+1400027506 2430 3.643900+1-4.715140+1 3.650950+1-4.750610+1 3.658880+1-4.783320+1400027506 2431 3.683870+1-4.796260+1 3.699800+1-4.740620+1 3.716860+1-4.652900+1400027506 2432 3.733050+1-4.571940+1 3.748380+1-4.510820+1 3.792600+1-4.439170+1400027506 2433 3.814880+1-4.441570+1 3.831350+1-4.450750+1 3.847100+1-4.457090+1400027506 2434 3.877350+1-4.404630+1 3.891910+1-4.354340+1 3.901420+1-4.313840+1400027506 2435 3.920090+1-4.237070+1 3.953860+1-4.120580+1 4.047100+1-3.927460+1400027506 2436 4.203970+1-3.735510+1 4.403520+1-3.584500+1 4.756150+1-3.446780+1400027506 2437 5.028000+1-3.407820+1 5.299630+1-3.395620+1 5.577860+1-3.405170+1400027506 2438 5.840740+1-3.431090+1 5.928160+1-3.453700+1 5.971320+1-3.466160+1400027506 2439 6.050010+1-3.464830+1 6.139020+1-3.450660+1 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2.370030+3-1.789450+1 2.387060+3-1.700520+1400027506 2465 2.431330+3-1.535170+1 2.464230+3-1.474750+1 2.489600+3-1.473570+1400027506 2466 2.504250+3-1.475000+1 2.514500+3-1.458010+1 2.532000+3-1.385750+1400027506 2467 2.553710+3-1.271360+1 2.584200+3-1.145360+1 2.608520+3-1.072830+1400027506 2468 2.651080+3-9.684320+0 2.725550+3-8.173280+0 2.807370+3-6.956740+0400027506 2469 2.903030+3-5.856860+0 2.978550+3-5.097650+0 3.054430+3-4.484680+0400027506 2470 3.109840+3-4.103900+0 3.211070+3-3.497240+0 3.332150+3-2.879190+0400027506 2471 3.494830+3-2.269220+0 3.575870+3-2.027230+0 3.744800+3-1.566680+0400027506 2472 3.794960+3-1.446370+0 4.001420+3-1.069480+0 4.141780+3-8.439470-1400027506 2473 4.207960+3-7.677760-1 4.513650+3-4.717090-1 4.598630+3-4.186720-1400027506 2474 4.681800+3-3.718850-1 4.894630+3-2.902900-1 4.942050+3-2.742800-1400027506 2475 5.099730+3-2.339140-1 5.263490+3-2.031310-1 5.514760+3-1.782760-1400027506 2476 5.827350+3-1.691450-1 6.195221+3-1.655600-1 6.450940+3-1.959540-1400027506 2477 6.666790+3-2.176810-1 6.828681+3-2.393980-1 6.967040+3-2.685620-1400027506 2478 7.410100+3-3.419440-1 7.549661+3-3.710170-1 7.682820+3-4.036560-1400027506 2479 8.139760+3-5.012590-1 8.521380+3-5.983380-1 9.391701+3-7.733030-1400027506 2480 1.019190+4-9.462610-1 1.112890+4-1.174350+0 1.188440+4-1.351340+0400027506 2481 1.287460+4-1.616940+0 1.334400+4-1.749930+0 1.417630+4-2.013370+0400027506 2482 1.494310+4-2.319670+0 1.554920+4-2.627000+0 1.638090+4-3.206530+0400027506 2483 1.681950+4-3.674140+0 1.728250+4-4.455880+0 1.745350+4-4.932220+0400027506 2484 1.755390+4-5.330440+0 1.760220+4-5.576170+0 1.764970+4-5.862000+0400027506 2485 1.768260+4-6.086260+0 1.771590+4-6.335090+0 1.773820+4-6.509450+0400027506 2486 1.775880+4-6.674440+0 1.778340+4-6.871760+0 1.781480+4-7.112830+0400027506 2487 1.784930+4-7.349960+0 1.789270+4-7.565560+0 1.796400+4-7.690940+0400027506 2488 1.804000+4-7.457390+0 1.811040+4-6.964730+0 1.817780+4-6.384080+0400027506 2489 1.826320+4-5.697040+0 1.834450+4-5.140590+0 1.850980+4-4.376720+0400027506 2490 1.882240+4-3.504510+0 1.903620+4-3.077480+0 1.934160+4-2.596440+0400027506 2491 1.966710+4-2.213680+0 2.009220+4-1.816280+0 2.072980+4-1.331380+0400027506 2492 2.107570+4-1.126180+0 2.202920+4-7.092250-1 2.236010+4-5.865230-1400027506 2493 2.353940+4-2.587450-1 2.396360+4-1.558610-1 2.459620+4-4.531970-2400027506 2494 2.558160+4 1.298190-1 2.617850+4 2.222600-1 2.647690+4 2.607130-1400027506 2495 2.662610+4 2.764320-1 2.694760+4 2.976010-1 2.755030+4 3.518670-1400027506 2496 2.800240+4 3.860840-1 2.836860+4 4.007910-1 2.962670+4 4.890990-1400027506 2497 3.018180+4 5.216660-1 3.066970+4 5.369940-1 3.097330+4 5.385270-1400027506 2498 3.313790+4 6.160170-1 3.627750+4 6.431870-1 3.905660+4 6.557180-1400027506 2499 4.210140+4 6.537740-1 4.532080+4 6.355910-1 4.766540+4 6.148080-1400027506 2500 5.313250+4 5.734220-1 5.881980+4 5.209520-1 6.445340+4 4.766170-1400027506 2501 6.832350+4 4.460730-1 7.337390+4 4.115540-1 7.811329+4 3.830340-1400027506 2502 8.449879+4 3.484020-1 9.167729+4 3.128060-1 9.826190+4 2.841450-1400027506 2503 1.060220+5 2.556070-1 1.129850+5 2.327160-1 1.270830+5 1.950290-1400027506 2504 1.393300+5 1.701160-1 1.503970+5 1.506400-1 1.620290+5 1.336280-1400027506 2505 1.735950+5 1.191430-1 1.891320+5 1.035510-1 2.051330+5 9.000740-2400027506 2506 2.211170+5 7.887580-2 2.417300+5 6.725700-2 2.574930+5 5.978680-2400027506 2507 2.720890+5 5.372180-2 2.851740+5 4.892690-2 3.028740+5 4.338760-2400027506 2508 3.279900+5 3.706960-2 3.544470+5 3.163950-2 3.793150+5 2.736280-2400027506 2509 4.049960+5 2.358960-2 4.283380+5 2.081370-2 4.598630+5 1.757500-2400027506 2510 5.046200+5 1.402230-2 5.530550+5 1.096460-2 5.882690+5 9.134390-3400027506 2511 6.447420+5 6.786820-3 7.085680+5 4.785890-3 7.798130+5 3.110490-3400027506 2512 8.486910+5 1.878650-3 9.101570+5 1.002900-3 9.808180+5 2.108870-4400027506 2513 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0400027506 2514 400027 0 2515 4000 0 0 2516 0 0 0 2517 4.100000+4 9.210830+1 -1 0 2 24100 1451 1 0.000000+0 0.000000+0 0 0 0 64100 1451 2 0.000000+0 0.000000+0 0 0 3 24100 1451 3 0.000000+0 0.000000+0 0 0 139 274100 1451 4 41-NB LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4100 1451 6 ----JEF-2 MATERIAL 4100 REVISION 0 4100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4100 1451 8 ------ENDF-6 FORMAT 4100 1451 9 ******************************************************************4100 1451 10 * JEF-2 *4100 1451 11 * DATA TAKEN FROM EPDL *4100 1451 12 ******************************************************************4100 1451 13 =================================================================4100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4100 1451 15 ENDF/B-VI FORMAT 4100 1451 16 =================================================================4100 1451 17 CONTENTS 4100 1451 18 =================================================================4100 1451 19 MF/MT DESCRIPTION 4100 1451 20 =================================================================4100 1451 21 23/501 TOTAL CROSS SECTION 4100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 43 =================================================================4100 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4100 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4100 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4100 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4100 1451 48 =================================================================4100 1451 49 WARNING 4100 1451 50 =================================================================4100 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4100 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4100 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4100 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4100 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4100 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4100 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4100 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4100 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4100 1451 60 =================================================================4100 1451 61 DEFINITION OF NEW TYPES OF DATA 4100 1451 62 =================================================================4100 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4100 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4100 1451 65 4100 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4100 1451 67 C2 FIELDS ARE, 4100 1451 68 4100 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4100 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4100 1451 71 4100 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4100 1451 73 4100 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4100 1451 75 4100 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4100 1451 77 T = THE THOMSON CROSS SECTION 4100 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4100 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4100 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4100 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4100 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4100 1451 83 4100 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4100 1451 85 4100 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4100 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4100 1451 88 =================================================================4100 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4100 1451 90 =================================================================4100 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4100 1451 92 HERE - 10 EV TO 100 MEV 4100 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4100 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4100 1451 95 HERE - PHOTON INTERACTION 4100 1451 96 - AVERAGE FLUORESCENCE YIELD 4100 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4100 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4100 1451 99 HERE - NO SECONDARY ENERGY DATA 4100 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4100 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4100 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4100 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4100 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4100 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4100 1451 106 (SINCE THEY CAN BE NEGATIVE). 4100 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4100 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4100 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4100 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4100 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4100 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4100 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4100 1451 114 =================================================================4100 1451 115 REFERENCES 4100 1451 116 =================================================================4100 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4100 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4100 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4100 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4100 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4100 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4100 1451 123 4100 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4100 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4100 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4100 1451 127 OF THE DATA, ETC. 4100 1451 128 =================================================================4100 1451 129 HISTORY 4100 1451 130 =================================================================4100 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4100 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4100 1451 133 CROSS SECTIONS. 4100 1451 134 =================================================================4100 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4100 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4100 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4100 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4100 1451 139 *RECONSTRUCTED MT NUMBERS 4100 1451 140 516 =+(515,515)+(517,517) 4100 1451 141 522 =+(534,572) 4100 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4100 1451 143 1 451 170 14100 1451 144 23 501 467 14100 1451 145 23 502 116 14100 1451 146 23 504 30 14100 1451 147 23 515 30 14100 1451 148 23 516 58 14100 1451 149 23 517 41 14100 1451 150 23 522 317 24100 1451 151 23 534 39 24100 1451 152 23 535 47 24100 1451 153 23 536 54 24100 1451 154 23 537 55 24100 1451 155 23 538 53 24100 1451 156 23 539 59 24100 1451 157 23 540 60 24100 1451 158 23 541 77 24100 1451 159 23 542 77 24100 1451 160 23 543 59 24100 1451 161 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1.357030+1 1.882240+4 1.115410+1 2.000000+4 9.168100+0410023545 1927 2.103980+4 7.741160+0 2.199390+4 6.676000+0 2.286410+4 5.864940+0410023545 1928 2.447070+4 4.675420+0 2.574930+4 3.944470+0 2.675180+4 3.472280+0410023545 1929 2.832940+4 2.867830+0 3.000000+4 2.368600+0 3.197810+4 1.899230+0410023545 1930 3.381560+4 1.565510+0 3.550980+4 1.321970+0 3.706180+4 1.140160+0410023545 1931 3.847530+4 1.001720+0 4.107990+4 7.986470-1 4.314830+4 6.738500-1410023545 1932 4.476780+4 5.932240-1 4.731160+4 4.900080-1 5.000000+4 4.047500-1410023545 1933 5.221370+4 3.470910-1 5.437800+4 3.005180-1 5.648840+4 2.625490-1410023545 1934 5.854120+4 2.313210-1 6.259340+4 1.824310-1 6.636860+4 1.482080-1410023545 1935 6.985820+4 1.235730-1 7.306180+4 1.054010-1 7.598520+4 9.170670-2410023545 1936 8.138540+4 7.188250-2 8.568600+4 5.988110-2 8.906000+4 5.221430-2410023545 1937 9.437160+4 4.251470-2 1.000000+5 3.461700-2 1.051990+5 2.893530-2410023545 1938 1.099690+5 2.473430-2 1.143200+5 2.156180-2 1.223530+5 1.695760-2410023545 1939 1.287460+5 1.416190-2 1.337590+5 1.237200-2 1.416470+5 1.010230-2410023545 1940 1.500000+5 8.248900-3 1.554920+5 7.283250-3 1.655920+5 5.857350-3410023545 1941 1.735950+5 4.974320-3 1.863300+5 3.892970-3 2.000000+5 3.046700-3410023545 1942 2.103980+5 2.575630-3 2.199390+5 2.223600-3 2.286410+5 1.955270-3410023545 1943 2.447070+5 1.561250-3 2.574930+5 1.318770-3 2.675180+5 1.161960-3410023545 1944 2.832940+5 9.610100-4 3.000000+5 7.948100-4 3.223710+5 6.361870-4410023545 1945 3.402370+5 5.383650-4 3.542840+5 4.750020-4 3.764490+5 3.936610-4410023545 1946 4.000000+5 3.262500-4 4.229490+5 2.777530-4 4.598630+5 2.181840-4410023545 1947 5.000000+5 1.713900-4 5.233180+5 1.515260-4 5.603490+5 1.259610-4410023545 1948 6.000000+5 1.047100-4 6.447420+5 8.762380-5 6.804750+5 7.666500-5410023545 1949 7.378210+5 6.274230-5 8.000000+5 5.134800-5 8.458970+5 4.531440-5410023545 1950 9.197270+5 3.756690-5 1.000000+6 3.114400-5 1.022000+6 2.977470-5410023545 1951 1.102170+6 2.560410-5 1.188630+6 2.201760-5 1.250000+6 2.000980-5410023545 1952 1.369310+6 1.695040-5 1.500000+6 1.435870-5 1.611850+6 1.269620-5410023545 1953 1.795470+6 1.055630-5 2.000000+6 8.777040-6 2.044000+6 8.470680-6410023545 1954 2.249780+6 7.308780-6 2.417610+6 6.543200-6 2.693110+6 5.542530-6410023545 1955 3.000000+6 4.694890-6 3.464100+6 3.833120-6 4.000000+6 3.129540-6410023545 1956 4.472140+6 2.697380-6 5.000000+6 2.324900-6 5.477230+6 2.069220-6410023545 1957 6.000000+6 1.841650-6 7.000000+6 1.520260-6 8.000000+6 1.293670-6410023545 1958 9.000000+6 1.123840-6 1.000000+7 9.931980-7 1.100000+7 8.893810-7410023545 1959 1.200000+7 8.049860-7 1.300000+7 7.350430-7 1.400000+7 6.761980-7410023545 1960 1.500000+7 6.260230-7 1.600000+7 5.826700-7 1.800000+7 5.116860-7410023545 1961 2.000000+7 4.560780-7 2.200000+7 4.113370-7 2.400000+7 3.745740-7410023545 1962 2.600000+7 3.437060-7 2.800000+7 3.176940-7 3.000000+7 2.951500-7410023545 1963 3.464100+7 2.536810-7 4.000000+7 2.180390-7 4.472140+7 1.941260-7410023545 1964 5.000000+7 1.728360-7 6.000000+7 1.432400-7 6.928200+7 1.235510-7410023545 1965 8.000000+7 1.065680-7 8.944271+7 9.509500-8 1.000000+8 8.485710-8410023545 1966 410023 0 1967 4.100000+4 9.210830+1 0 0 0 0410023546 1968 5.940000+0 0.000000+0 0 0 1 250410023546 1969 250 2 0 0 0 0410023546 1970 1.000000+1 7.174990+6 1.500000+1 8.792570+6 1.732050+1 9.113130+6410023546 1971 2.000000+1 8.935110+6 2.213360+1 8.376730+6 2.388200+1 7.731000+6410023546 1972 2.676670+1 6.484960+6 2.833730+1 5.729770+6 3.000000+1 5.062530+6410023546 1973 3.164290+1 4.358260+6 3.337570+1 3.751970+6 3.472960+1 3.266570+6410023546 1974 3.686420+1 2.653630+6 3.913000+1 2.155700+6 4.139000+1 1.721680+6410023546 1975 4.339250+1 1.397910+6 4.549180+1 1.135030+6 4.769270+1 8.962670+5410023546 1976 5.000000+1 7.077300+5 5.233180+1 5.465040+5 5.477230+1 4.220060+5410023546 1977 5.603490+1 3.644670+5 5.798360+1 2.925280+5 6.000000+1 2.347890+5410023546 1978 6.114670+1 2.051020+5 6.290800+1 1.674590+5 6.472000+1 1.367250+5410023546 1979 6.590530+1 1.192030+5 6.803210+1 9.376860+4 6.967210+1 7.832220+4410023546 1980 7.092800+1 6.843140+4 7.285450+1 5.588700+4 7.483320+1 4.564220+4410023546 1981 7.737350+1 3.701080+4 8.000000+1 3.150270+4 8.239070+1 2.874940+4410023546 1982 8.563720+1 2.729680+4 8.852160+1 2.754750+4 9.000000+1 2.812340+4410023546 1983 9.486830+1 3.170790+4 1.000000+2 3.714020+4 1.106680+2 4.852210+4410023546 1984 1.194100+2 5.665190+4 1.338340+2 6.678560+4 1.500000+2 7.307920+4410023546 1985 1.701190+2 7.480429+4 2.000000+2 7.034060+4 2.191100+2 6.571200+4410023546 1986 2.563840+2 5.590610+4 3.000000+2 4.524410+4 3.388450+2 3.700700+4410023546 1987 3.827200+2 3.026950+4 4.091700+2 2.654610+4 4.523110+2 2.180190+4410023546 1988 5.000000+2 1.790550+4 5.477230+2 1.465670+4 6.000000+2 1.199730+4410023546 1989 6.447420+2 1.010360+4 6.804750+2 8.882201+3 7.378210+2 7.321290+3410023546 1990 8.000000+2 6.034680+3 8.458970+2 5.222790+3 9.197270+2 4.205090+3410023546 1991 1.000000+3 3.385700+3 1.078990+3 2.739960+3 1.142300+3 2.337840+3410023546 1992 1.244300+3 1.842560+3 1.355400+3 1.452210+3 1.425870+3 1.251830+3410023546 1993 1.500000+3 1.079100+3 1.611850+3 8.656780+2 1.701190+3 7.337990+2410023546 1994 1.771420+3 6.482500+2 1.882240+3 5.382590+2 2.000000+3 4.469300+2410023546 1995 2.154830+3 3.504910+2 2.278760+3 2.920820+2 2.376370+3 2.547570+2410023546 1996 2.530670+3 2.075190+2 2.695000+3 1.690400+2 2.831370+3 1.426040+2410023546 1997 2.956340+3 1.228880+2 3.070210+3 1.078850+2 3.280130+3 8.590270+1410023546 1998 3.446930+3 7.240860+1 3.577580+3 6.369820+1 3.782900+3 5.255730+1410023546 1999 4.000000+3 4.336500+1 4.229490+3 3.545080+1 4.410200+3 3.047830+1410023546 2000 4.695850+3 2.429620+1 5.000000+3 1.936800+1 5.233180+3 1.634960+1410023546 2001 5.415170+3 1.439880+1 5.700090+3 1.190010+1 6.000000+3 9.835100+0410023546 2002 6.219690+3 8.570310+0 6.623670+3 6.735620+0 6.943790+3 5.622290+0410023546 2003 7.193991+3 4.909820+0 7.586300+3 4.006760+0 8.000000+3 3.269800+0410023546 2004 8.458970+3 2.625160+0 8.820401+3 2.226550+0 9.391701+3 1.739180+0410023546 2005 1.000000+4 1.358500+0 1.051990+4 1.105890+0 1.099690+4 9.237070-1410023546 2006 1.143200+4 7.890930-1 1.182690+4 6.875000-1 1.255090+4 5.401640-1410023546 2007 1.312290+4 4.507810-1 1.356890+4 3.935910-1 1.426650+4 3.211180-1410023546 2008 1.500000+4 2.619900-1 1.554920+4 2.254590-1 1.604630+4 1.976980-1410023546 2009 1.695460+4 1.570860-1 1.766950+4 1.322020-1 1.822530+4 1.161620-1410023546 2010 1.909200+4 9.567610-2 2.000000+4 7.880300-2 2.088550+4 6.547910-2410023546 2011 2.175120+4 5.504140-2 2.259530+4 4.677250-2 2.341650+4 4.015220-2410023546 2012 2.421340+4 3.479940-2 2.498510+4 3.043100-2 2.649890+4 2.366410-2410023546 2013 2.789860+4 1.898960-2 2.918380+4 1.566350-2 3.035680+4 1.323470-2410023546 2014 3.142190+4 1.142060-2 3.238440+4 1.003840-2 3.414020+4 8.009820-3410023546 2015 3.551930+4 6.762250-3 3.769320+4 5.245600-3 4.000000+4 4.069100-3410023546 2016 4.177100+4 3.375250-3 4.350240+4 2.832620-3 4.519070+4 2.403410-3410023546 2017 4.683290+4 2.060280-3 4.842670+4 1.783230-3 4.997010+4 1.557430-3410023546 2018 5.299780+4 1.208260-3 5.579710+4 9.675900-4 5.836760+4 7.966760-4410023546 2019 6.071370+4 6.720840-4 6.284370+4 5.791590-4 6.476870+4 5.084530-4410023546 2020 6.828050+4 4.048480-4 7.103870+4 3.412510-4 7.318020+4 3.001990-4410023546 2021 7.651420+4 2.476930-4 8.000000+4 2.043700-4 8.458970+4 1.610580-4410023546 2022 8.820400+4 1.347120-4 9.101570+4 1.178210-4 9.540210+4 9.637150-5410023546 2023 1.000000+5 7.882700-5 1.051990+5 6.376880-5 1.099690+5 5.297230-5410023546 2024 1.143200+5 4.503610-5 1.182690+5 3.907350-5 1.255090+5 3.047520-5410023546 2025 1.312290+5 2.529270-5 1.356890+5 2.199280-5 1.426650+5 1.783240-5410023546 2026 1.500000+5 1.445900-5 1.554920+5 1.249970-5 1.604630+5 1.100440-5410023546 2027 1.695460+5 8.805010-6 1.766950+5 7.449090-6 1.879870+5 5.796480-6410023546 2028 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4.914520+3-4.081880-1410027506 2465 5.241580+3-2.588060-1 5.263490+3-2.517770-1 5.401110+3-2.226530-1410027506 2466 5.798350+3-1.610430-1 5.874660+3-1.477700-1 5.896670+3-1.450660-1410027506 2467 5.979370+3-1.389290-1 6.151600+3-1.374550-1 6.258440+3-1.453320-1410027506 2468 6.623670+3-1.564670-1 6.687590+3-1.598970-1 6.763120+3-1.681110-1410027506 2469 6.976610+3-1.971220-1 7.234400+3-2.242710-1 7.427750+3-2.499840-1410027506 2470 7.586300+3-2.795450-1 7.761130+3-3.083690-1 7.963790+3-3.478890-1410027506 2471 8.137520+3-3.934470-1 8.944901+3-5.527800-1 9.197281+3-6.107660-1410027506 2472 1.006670+4-7.858730-1 1.060870+4-8.916060-1 1.144440+4-1.089750+0410027506 2473 1.228630+4-1.273920+0 1.334400+4-1.547300+0 1.404920+4-1.735720+0410027506 2474 1.500000+4-2.028450+0 1.582250+4-2.342780+0 1.637000+4-2.600420+0410027506 2475 1.730830+4-3.229360+0 1.773510+4-3.656040+0 1.823120+4-4.448520+0410027506 2476 1.841160+4-4.924430+0 1.851750+4-5.322240+0 1.856850+4-5.567680+0410027506 2477 1.861860+4-5.853170+0 1.865320+4-6.077140+0 1.868840+4-6.325680+0410027506 2478 1.871200+4-6.499910+0 1.873360+4-6.664790+0 1.875960+4-6.862030+0410027506 2479 1.879280+4-7.103180+0 1.882910+4-7.340800+0 1.887000+4-7.550640+0410027506 2480 1.894020+4-7.687110+0 1.901040+4-7.531630+0 1.909200+4-7.054370+0410027506 2481 1.913980+4-6.659390+0 1.923700+4-5.914540+0 1.928330+4-5.559400+0410027506 2482 1.946270+4-4.636490+0 1.961980+4-4.082940+0 1.989460+4-3.410750+0410027506 2483 2.030680+4-2.714760+0 2.071900+4-2.232010+0 2.136970+4-1.673390+0410027506 2484 2.169510+4-1.447070+0 2.210270+4-1.224880+0 2.290350+4-8.442270-1410027506 2485 2.333110+4-6.714070-1 2.376790+4-5.330050-1 2.494180+4-2.095100-1410027506 2486 2.552880+4-7.056340-2 2.582230+4-1.306320-2 2.647030+4 7.807520-2410027506 2487 2.718970+4 1.800200-1 2.767520+4 2.447860-1 2.806510+4 2.850620-1410027506 2488 2.832940+4 2.990680-1 2.956980+4 4.042030-1 3.000000+4 4.295040-1410027506 2489 3.018190+4 4.332350-1 3.179370+4 5.226870-1 3.204040+4 5.322470-1410027506 2490 3.260800+4 5.408160-1 3.429260+4 5.999400-1 3.778370+4 6.426100-1410027506 2491 4.067140+4 6.586390-1 4.356000+4 6.604270-1 4.696880+4 6.399170-1410027506 2492 5.109490+4 6.121270-1 5.452540+4 5.815460-1 5.881980+4 5.460190-1410027506 2493 6.457930+4 5.008490-1 6.832350+4 4.709660-1 7.326540+4 4.366470-1410027506 2494 7.811329+4 4.068480-1 8.458970+4 3.706830-1 9.167729+4 3.339420-1410027506 2495 9.767400+4 3.062850-1 1.051990+5 2.768780-1 1.125840+5 2.508490-1410027506 2496 1.270830+5 2.097150-1 1.395980+5 1.827150-1 1.500310+5 1.630470-1410027506 2497 1.620290+5 1.442730-1 1.736130+5 1.287080-1 1.891320+5 1.119990-1410027506 2498 2.051330+5 9.743420-2 2.211170+5 8.544280-2 2.388200+5 7.452760-2410027506 2499 2.515410+5 6.758130-2 2.720890+5 5.827800-2 2.876840+5 5.222020-2410027506 2500 3.027790+5 4.711350-2 3.279900+5 4.024720-2 3.544470+5 3.436710-2410027506 2501 3.793150+5 2.972180-2 4.049960+5 2.562240-2 4.283380+5 2.260410-2410027506 2502 4.622550+5 1.887090-2 5.042260+5 1.525170-2 5.507460+5 1.203080-2410027506 2503 5.882690+5 9.873960-3 6.433520+5 7.384610-3 7.128690+5 5.049250-3410027506 2504 7.926250+5 3.087860-3 8.253950+5 2.440180-3 8.829560+5 1.507700-3410027506 2505 9.076530+5 1.118980-3 9.807260+5 2.296230-4 1.000000+6 0.000000+0410027506 2506 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0410027506 2507 410027 0 2508 4100 0 0 2509 0 0 0 2510 4.200000+4 9.511590+1 -1 0 2 24200 1451 1 0.000000+0 0.000000+0 0 0 0 64200 1451 2 0.000000+0 0.000000+0 0 0 3 24200 1451 3 0.000000+0 0.000000+0 0 0 139 274200 1451 4 42-MO LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4200 1451 6 ----JEF-2 MATERIAL 4200 REVISION 0 4200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4200 1451 8 ------ENDF-6 FORMAT 4200 1451 9 ******************************************************************4200 1451 10 * JEF-2 *4200 1451 11 * DATA TAKEN FROM EPDL *4200 1451 12 ******************************************************************4200 1451 13 =================================================================4200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4200 1451 15 ENDF/B-VI FORMAT 4200 1451 16 =================================================================4200 1451 17 CONTENTS 4200 1451 18 =================================================================4200 1451 19 MF/MT DESCRIPTION 4200 1451 20 =================================================================4200 1451 21 23/501 TOTAL CROSS SECTION 4200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 43 =================================================================4200 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4200 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4200 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4200 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4200 1451 48 =================================================================4200 1451 49 WARNING 4200 1451 50 =================================================================4200 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4200 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4200 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4200 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4200 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4200 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4200 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4200 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4200 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4200 1451 60 =================================================================4200 1451 61 DEFINITION OF NEW TYPES OF DATA 4200 1451 62 =================================================================4200 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4200 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4200 1451 65 4200 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4200 1451 67 C2 FIELDS ARE, 4200 1451 68 4200 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4200 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4200 1451 71 4200 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4200 1451 73 4200 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4200 1451 75 4200 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4200 1451 77 T = THE THOMSON CROSS SECTION 4200 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4200 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4200 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4200 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4200 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4200 1451 83 4200 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4200 1451 85 4200 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4200 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4200 1451 88 =================================================================4200 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4200 1451 90 =================================================================4200 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4200 1451 92 HERE - 10 EV TO 100 MEV 4200 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4200 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4200 1451 95 HERE - PHOTON INTERACTION 4200 1451 96 - AVERAGE FLUORESCENCE YIELD 4200 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4200 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4200 1451 99 HERE - NO SECONDARY ENERGY DATA 4200 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4200 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4200 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4200 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4200 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4200 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4200 1451 106 (SINCE THEY CAN BE NEGATIVE). 4200 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4200 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4200 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4200 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4200 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4200 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4200 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4200 1451 114 =================================================================4200 1451 115 REFERENCES 4200 1451 116 =================================================================4200 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4200 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4200 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4200 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4200 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4200 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4200 1451 123 4200 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4200 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4200 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4200 1451 127 OF THE DATA, ETC. 4200 1451 128 =================================================================4200 1451 129 HISTORY 4200 1451 130 =================================================================4200 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4200 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4200 1451 133 CROSS SECTIONS. 4200 1451 134 =================================================================4200 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4200 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4200 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4200 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4200 1451 139 *RECONSTRUCTED MT NUMBERS 4200 1451 140 516 =+(515,515)+(517,517) 4200 1451 141 522 =+(534,572) 4200 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4200 1451 143 1 451 170 14200 1451 144 23 501 451 14200 1451 145 23 502 117 14200 1451 146 23 504 31 14200 1451 147 23 515 30 14200 1451 148 23 516 58 14200 1451 149 23 517 41 14200 1451 150 23 522 296 24200 1451 151 23 534 40 24200 1451 152 23 535 46 24200 1451 153 23 536 54 24200 1451 154 23 537 54 24200 1451 155 23 538 53 24200 1451 156 23 539 58 24200 1451 157 23 540 59 24200 1451 158 23 541 77 24200 1451 159 23 542 78 24200 1451 160 23 543 58 24200 1451 161 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6.576700+1 8.100160+5 6.949000+1 6.540350+5420023545 1864 7.345860+1 5.521050+5 7.765380+1 4.660610+5 8.000000+1 4.329590+5420023545 1865 9.000000+1 3.470460+5 1.000000+2 3.076280+5 1.106680+2 2.857880+5420023545 1866 1.500000+2 2.539380+5 2.000000+2 2.168790+5 2.452600+2 1.840570+5420023545 1867 2.712530+2 1.664660+5 3.000000+2 1.505560+5 3.540470+2 1.230830+5420023545 1868 4.178300+2 1.006240+5 4.588830+2 8.829510+4 5.039700+2 7.747679+4420023545 1869 5.471140+2 6.820580+4 6.188540+2 5.633730+4 7.000000+2 4.653400+4420023545 1870 7.652860+2 3.988000+4 8.182150+2 3.552170+4 9.045530+2 2.986080+4420023545 1871 1.000000+3 2.510200+4 1.106680+3 2.065750+4 1.194100+3 1.784870+4420023545 1872 1.338340+3 1.433500+4 1.500000+3 1.151300+4 1.611850+3 9.893661+3420023545 1873 1.795470+3 7.881520+3 2.000000+3 6.278600+3 2.188410+3 5.110820+3420023545 1874 2.341280+3 4.379870+3 2.590840+3 3.474700+3 2.867000+3 2.756600+3420023545 1875 3.115920+3 2.244220+3 3.316690+3 1.923470+3 3.642350+3 1.526210+3420023545 1876 4.000000+3 1.211000+3 4.207960+3 1.058700+3 4.598240+3 8.368080+2420023545 1877 4.914520+3 7.014790+2 5.165930+3 6.145490+2 5.567370+3 5.039280+2420023545 1878 6.000000+3 4.132200+2 6.447420+3 3.374050+2 6.804750+3 2.898200+2420023545 1879 7.378210+3 2.307250+2 8.000000+3 1.836800+2 8.458970+3 1.559500+2420023545 1880 8.820401+3 1.379360+2 9.391701+3 1.147410+2 1.000000+4 9.544600+1420023545 1881 1.080490+4 7.518080+1 1.156220+4 6.101160+1 1.226830+4 5.082230+1420023545 1882 1.292140+4 4.331280+1 1.352130+4 3.765810+1 1.463890+4 2.948030+1420023545 1883 1.553730+4 2.453500+1 1.624720+4 2.137850+1 1.737320+4 1.738860+1420023545 1884 1.857720+4 1.414330+1 1.932840+4 1.235050+1 2.011000+4 1.078500+1420023545 1885 2.114100+4 9.184500+0 2.278750+4 7.217870+0 2.456220+4 5.672340+0420023545 1886 2.567800+4 4.867930+0 2.677010+4 4.217720+0 2.783600+4 3.687260+0420023545 1887 2.887380+4 3.250700+0 3.092520+4 2.566640+0 3.283940+4 2.087280+0420023545 1888 3.461120+4 1.741880+0 3.623980+4 1.486880+0 3.772760+4 1.294570+0420023545 1889 4.047960+4 1.015930+0 4.267470+4 8.470700-1 4.439870+4 7.391110-1420023545 1890 4.711620+4 6.024150-1 5.000000+4 4.910000-1 5.221370+4 4.213160-1420023545 1891 5.437800+4 3.649960-1 5.648840+4 3.190540-1 5.854120+4 2.812490-1420023545 1892 6.259340+4 2.220200-1 6.636860+4 1.805220-1 6.985820+4 1.506270-1420023545 1893 7.306180+4 1.285590-1 7.598520+4 1.119180-1 8.138540+4 8.781130-2420023545 1894 8.568600+4 7.320450-2 8.906000+4 6.386720-2 9.437160+4 5.204610-2420023545 1895 1.000000+5 4.241300-2 1.051990+5 3.547160-2 1.099690+5 3.033640-2420023545 1896 1.143200+5 2.645680-2 1.223530+5 2.082290-2 1.287460+5 1.739980-2420023545 1897 1.337590+5 1.520710-2 1.416470+5 1.242510-2 1.500000+5 1.015200-2420023545 1898 1.611850+5 7.919520-3 1.701190+5 6.573700-3 1.771420+5 5.716660-3420023545 1899 1.882240+5 4.635990-3 2.000000+5 3.759600-3 2.103980+5 3.179500-3420023545 1900 2.199390+5 2.745830-3 2.286410+5 2.415170-3 2.447070+5 1.929440-3420023545 1901 2.574930+5 1.630390-3 2.675180+5 1.436940-3 2.832940+5 1.188930-3420023545 1902 3.000000+5 9.837300-4 3.223710+5 7.877520-4 3.402370+5 6.668440-4420023545 1903 3.542840+5 5.885050-4 3.764490+5 4.879100-4 4.000000+5 4.045100-4420023545 1904 4.229490+5 3.444150-4 4.598630+5 2.705910-4 5.000000+5 2.125900-4420023545 1905 5.233180+5 1.879720-4 5.603490+5 1.562850-4 6.000000+5 1.299400-4420023545 1906 6.447420+5 1.087310-4 6.804750+5 9.512880-5 7.378210+5 7.784840-5420023545 1907 8.000000+5 6.370700-5 8.458970+5 5.621970-5 9.197270+5 4.660580-5420023545 1908 1.000000+6 3.863600-5 1.022000+6 3.693620-5 1.102170+6 3.175780-5420023545 1909 1.188630+6 2.730540-5 1.250000+6 2.481270-5 1.369310+6 2.101590-5420023545 1910 1.500000+6 1.780010-5 1.611850+6 1.573900-5 1.795470+6 1.308610-5420023545 1911 2.000000+6 1.088040-5 2.044000+6 1.050020-5 2.249780+6 9.058150-6420023545 1912 2.417610+6 8.108130-6 2.693110+6 6.866610-6 3.000000+6 5.815200-6420023545 1913 3.464100+6 4.746780-6 4.000000+6 3.874660-6 4.472140+6 3.338640-6420023545 1914 5.000000+6 2.876780-6 5.477230+6 2.560120-6 6.000000+6 2.278310-6420023545 1915 7.000000+6 1.880180-6 8.000000+6 1.598920-6 9.000000+6 1.389590-6420023545 1916 1.000000+7 1.227640-6 1.100000+7 1.099210-6 1.200000+7 9.948000-7420023545 1917 1.300000+7 9.082400-7 1.400000+7 8.354220-7 1.500000+7 7.733910-7420023545 1918 1.600000+7 7.198370-7 1.800000+7 6.321210-7 2.000000+7 5.634120-7420023545 1919 2.200000+7 5.080600-7 2.400000+7 4.625960-7 2.600000+7 4.245820-7420023545 1920 2.800000+7 3.922180-7 3.000000+7 3.644780-7 3.464100+7 3.133030-7420023545 1921 4.000000+7 2.693130-7 4.472140+7 2.397580-7 5.000000+7 2.134470-7420023545 1922 6.000000+7 1.767160-7 6.928200+7 1.524460-7 8.000000+7 1.315100-7420023545 1923 8.944271+7 1.173740-7 1.000000+8 1.047580-7 0.000000+0 0.000000+0420023545 1924 420023 0 1925 4.200000+4 9.511590+1 0 0 0 0420023546 1926 7.000000+0 0.000000+0 0 0 1 245420023546 1927 245 2 0 0 0 0420023546 1928 1.000000+1 6.209020+6 1.500000+1 8.829140+6 1.861210+1 1.011900+7420023546 1929 2.000000+1 1.036840+7 2.299120+1 1.036250+7 2.528320+1 9.872900+6420023546 1930 2.833730+1 8.719270+6 3.000000+1 7.938420+6 3.223710+1 6.823930+6420023546 1931 3.402370+1 5.900780+6 3.590940+1 5.102520+6 3.789960+1 4.267350+6420023546 1932 4.000000+1 3.568880+6 4.241700+1 2.836130+6 4.498000+1 2.253820+6420023546 1933 4.742360+1 1.770940+6 5.000000+1 1.391520+6 5.233180+1 1.096170+6420023546 1934 5.477230+1 8.635100+5 5.603490+1 7.542360+5 5.798360+1 6.156980+5420023546 1935 6.000000+1 5.026060+5 6.224350+1 3.937310+5 6.457090+1 3.084410+5420023546 1936 6.612610+1 2.585820+5 6.852940+1 1.984900+5 7.102000+1 1.523630+5420023546 1937 7.262330+1 1.280900+5 7.509650+1 9.873479+4 7.765380+1 7.610700+4420023546 1938 8.000000+1 6.168990+4 8.330550+1 4.836780+4 8.563720+1 4.255080+4420023546 1939 8.852160+1 3.839780+4 9.000000+1 3.737020+4 9.240210+1 3.706500+4420023546 1940 9.612600+1 3.891750+4 1.085030+2 5.174890+4 1.224740+2 6.881090+4420023546 1941 1.355400+2 8.385279+4 1.500000+2 9.613770+4 1.611860+2 1.010240+5420023546 1942 1.795470+2 1.022430+5 2.000000+2 9.841950+4 2.452600+2 8.464840+4420023546 1943 2.712530+2 7.508029+4 3.000000+2 6.659380+4 3.424210+2 5.396760+4420023546 1944 3.908400+2 4.373530+4 4.164860+2 3.871030+4 4.581450+2 3.223430+4420023546 1945 5.039700+2 2.684170+4 5.498930+2 2.225670+4 6.000000+2 1.845490+4420023546 1946 6.447420+2 1.558720+4 6.804750+2 1.373290+4 7.378210+2 1.135660+4420023546 1947 8.000000+2 9.391590+3 8.458970+2 8.147760+3 9.197270+2 6.583960+3420023546 1948 1.000000+3 5.320300+3 1.078990+3 4.318960+3 1.142300+3 3.693700+3420023546 1949 1.244300+3 2.921360+3 1.355400+3 2.310510+3 1.425870+3 1.996810+3420023546 1950 1.500000+3 1.725700+3 1.611850+3 1.388580+3 1.701190+3 1.179710+3420023546 1951 1.844550+3 9.238120+2 2.000000+3 7.234200+2 2.092090+3 6.255560+2420023546 1952 2.176130+3 5.508490+2 2.331420+3 4.409340+2 2.455120+3 3.731460+2420023546 1953 2.552180+3 3.292370+2 2.705010+3 2.728680+2 2.867000+3 2.261500+2420023546 1954 2.988870+3 1.959920+2 3.099740+3 1.729220+2 3.303770+3 1.388900+2420023546 1955 3.465550+3 1.178380+2 3.723200+3 9.208950+1 4.000000+3 7.196700+1420023546 1956 4.229490+3 5.894530+1 4.410200+3 5.075000+1 4.695850+3 4.054310+1420023546 1957 5.000000+3 3.238900+1 5.233180+3 2.738240+1 5.415170+3 2.414220+1420023546 1958 5.700090+3 1.998640+1 6.000000+3 1.654600+1 6.219690+3 1.443350+1420023546 1959 6.623670+3 1.136470+1 6.943790+3 9.499470+0 7.193991+3 8.304330+0420023546 1960 7.586300+3 6.787550+0 8.000000+3 5.547800+0 8.458970+3 4.460690+0420023546 1961 8.820401+3 3.787590+0 9.391701+3 2.963490+0 1.000000+4 2.318700+0420023546 1962 1.039470+4 1.983230+0 1.077880+4 1.712940+0 1.115190+4 1.493100+0420023546 1963 1.151330+4 1.312700+0 1.222280+4 1.031120+0 1.287950+4 8.347490-1420023546 1964 1.348290+4 6.938630-1 1.403400+4 5.902370-1 1.453480+4 5.123430-1420023546 1965 1.545440+4 3.999400-1 1.618200+4 3.321390-1 1.675020+4 2.889450-1420023546 1966 1.764010+4 2.344530-1 1.857720+4 1.902380-1 1.932840+4 1.596020-1420023546 1967 2.011000+4 1.339000-1 2.114100+4 1.096350-1 2.222490+4 8.976750-2420023546 1968 2.338020+4 7.217880-2 2.451770+4 5.883280-2 2.563440+4 4.857120-2420023546 1969 2.672750+4 4.058260-2 2.779450+4 3.429090-2 2.883350+4 2.928140-2420023546 1970 2.984280+4 2.525160-2 3.082100+4 2.197890-2 3.176730+4 1.929710-2420023546 1971 3.362050+4 1.511910-2 3.533050+4 1.221250-2 3.689790+4 1.013160-2420023546 1972 3.832640+4 8.603740-3 3.962160+4 7.457140-3 4.199440+4 5.805920-3420023546 1973 4.386680+4 4.812210-3 4.532570+4 4.180230-3 4.760550+4 3.384410-3420023546 1974 5.000000+4 2.740100-3 5.221370+4 2.275970-3 5.437800+4 1.912510-3420023546 1975 5.648840+4 1.624670-3 5.854120+4 1.394290-3 6.053340+4 1.208070-3420023546 1976 6.246270+4 1.056140-3 6.624730+4 8.208760-4 6.974640+4 6.584370-4420023546 1977 7.295950+4 5.429020-4 7.589210+4 4.585660-4 7.855470+4 3.955930-4420023546 1978 8.096090+4 3.476270-4 8.535060+4 2.772540-4 8.879840+4 2.339920-4420023546 1979 9.423290+4 1.814200-4 1.000000+5 1.406600-4 1.051990+5 1.138540-4420023546 1980 1.099690+5 9.462500-5 1.143200+5 8.048320-5 1.182690+5 6.985420-5420023546 1981 1.255090+5 5.451860-5 1.312290+5 4.526980-5 1.356890+5 3.937830-5420023546 1982 1.426650+5 3.194690-5 1.500000+5 2.591800-5 1.554920+5 2.241440-5420023546 1983 1.604630+5 1.973950-5 1.695460+5 1.580350-5 1.766950+5 1.337570-5420023546 1984 1.879870+5 1.041500-5 2.000000+5 8.109700-6 2.103980+5 6.672780-6420023546 1985 2.199390+5 5.625950-6 2.286410+5 4.845610-6 2.365370+5 4.252140-6420023546 1986 2.510180+5 3.383060-6 2.624580+5 2.849950-6 2.713780+5 2.506010-6420023546 1987 2.853300+5 2.066330-6 3.000000+5 1.703800-6 3.109840+5 1.495640-6420023546 1988 3.311840+5 1.190670-6 3.471900+5 1.003500-6 3.597000+5 8.826900-7420023546 1989 3.793150+5 7.281950-7 4.000000+5 6.007400-7 4.229490+5 4.966830-7420023546 1990 4.410200+5 4.306500-7 4.695850+5 3.476890-7 5.000000+5 2.807100-7420023546 1991 5.233180+5 2.420560-7 5.603490+5 1.938220-7 6.000000+5 1.552000-7420023546 1992 6.447420+5 1.249500-7 6.804750+5 1.061990-7 7.378210+5 8.321340-8420023546 1993 8.000000+5 6.520300-8 8.458970+5 5.581550-8 9.197270+5 4.420650-8420023546 1994 1.000000+6 3.501200-8 1.022000+6 3.324300-8 1.102170+6 2.835160-8420023546 1995 1.188630+6 2.417990-8 1.250000+6 2.204020-8 1.369310+6 1.885520-8420023546 1996 1.500000+6 1.613040-8 1.611850+6 1.426270-8 1.795470+6 1.185860-8420023546 1997 2.000000+6 9.859820-9 2.044000+6 9.515330-9 2.249780+6 8.208530-9420023546 1998 2.417610+6 7.347610-9 2.693110+6 6.222540-9 3.000000+6 5.269740-9420023546 1999 3.464100+6 4.301540-9 4.000000+6 3.511220-9 4.472140+6 3.025480-9420023546 2000 5.000000+6 2.606940-9 5.477230+6 2.319980-9 6.000000+6 2.064600-9420023546 2001 7.000000+6 1.703820-9 8.000000+6 1.448950-9 9.000000+6 1.259250-9420023546 2002 1.000000+7 1.112490-9 1.100000+7 9.96107-10 1.200000+7 9.01489-10420023546 2003 1.300000+7 8.23048-10 1.400000+7 7.57060-10 1.500000+7 7.00848-10420023546 2004 1.600000+7 6.52317-10 1.800000+7 5.72829-10 2.000000+7 5.10565-10420023546 2005 2.200000+7 4.60404-10 2.400000+7 4.19205-10 2.600000+7 3.84757-10420023546 2006 2.800000+7 3.55428-10 3.000000+7 3.30290-10 3.464100+7 2.83915-10420023546 2007 4.000000+7 2.44052-10 4.472140+7 2.17269-10 5.000000+7 1.93426-10420023546 2008 6.000000+7 1.60141-10 6.928200+7 1.38147-10 8.000000+7 1.19174-10420023546 2009 8.944271+7 1.06365-10 1.000000+8 9.49322-11 0.000000+0 0.000000+0420023546 2010 420023 0 2011 4.200000+4 9.511590+1 0 0 0 0420023547 2012 6.770000+0 0.000000+0 0 0 1 249420023547 2013 249 2 0 0 0 0420023547 2014 1.000000+1 1.000650+7 1.500000+1 1.372560+7 1.861210+1 1.545550+7420023547 2015 2.000000+1 1.573830+7 2.299120+1 1.552470+7 2.528320+1 1.465440+7420023547 2016 2.833730+1 1.280200+7 3.000000+1 1.159570+7 3.223710+1 9.907480+6420023547 2017 3.402370+1 8.531830+6 3.590940+1 7.347190+6 3.789960+1 6.121870+6420023547 2018 4.000000+1 5.100900+6 4.241700+1 4.037830+6 4.498000+1 3.196320+6420023547 2019 4.742360+1 2.500170+6 5.000000+1 1.955640+6 5.233180+1 1.534090+6420023547 2020 5.477230+1 1.203400+6 5.603490+1 1.048440+6 5.798360+1 8.525980+5420023547 2021 6.000000+1 6.933380+5 6.224350+1 5.406360+5 6.457090+1 4.215650+5420023547 2022 6.612610+1 3.526010+5 6.731700+1 3.083880+5 6.914370+1 2.522420+5420023547 2023 7.102000+1 2.063190+5 7.262330+1 1.736510+5 7.509650+1 1.340870+5420023547 2024 7.765380+1 1.035370+5 8.000000+1 8.483470+4 8.330550+1 6.821310+4420023547 2025 8.563720+1 6.130400+4 8.852160+1 5.678510+4 9.000000+1 5.593560+4420023547 2026 9.240210+1 5.640350+4 9.612600+1 6.036000+4 1.051200+2 7.565010+4420023547 2027 1.149560+2 9.481329+4 1.264160+2 1.157000+5 1.416860+2 1.382660+5420023547 2028 1.500000+2 1.465980+5 1.611860+2 1.528370+5 1.795470+2 1.538180+5420023547 2029 2.000000+2 1.476200+5 2.452600+2 1.259600+5 2.712530+2 1.113890+5420023547 2030 3.000000+2 9.850320+4 3.424210+2 7.959540+4 3.908400+2 6.431700+4420023547 2031 4.164860+2 5.685130+4 4.581450+2 4.724570+4 5.039700+2 3.926310+4420023547 2032 5.498930+2 3.251060+4 6.000000+2 2.691940+4 6.447420+2 2.270870+4420023547 2033 6.804750+2 1.998880+4 7.378210+2 1.650740+4 8.000000+2 1.363240+4420023547 2034 8.458970+2 1.181450+4 9.197270+2 9.531970+3 1.000000+3 7.690400+3420023547 2035 1.078990+3 6.235180+3 1.142300+3 5.327500+3 1.244300+3 4.207620+3420023547 2036 1.355400+3 3.323140+3 1.425870+3 2.869620+3 1.500000+3 2.478000+3420023547 2037 1.611850+3 1.991430+3 1.701190+3 1.690290+3 1.771420+3 1.494720+3420023547 2038 1.882240+3 1.242960+3 2.000000+3 1.033600+3 2.092090+3 8.930170+2420023547 2039 2.176130+3 7.857850+2 2.331420+3 6.281740+2 2.455120+3 5.310830+2420023547 2040 2.552180+3 4.682470+2 2.705010+3 3.876520+2 2.867000+3 3.209300+2420023547 2041 2.988870+3 2.776920+2 3.099740+3 2.446650+2 3.303770+3 1.960370+2420023547 2042 3.465550+3 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1.927660+3-1.229210+1 2.098440+3-1.337390+1 2.200660+3-1.437660+1420027506 2403 2.299520+3-1.576250+1 2.369210+3-1.726630+1 2.398460+3-1.811370+1420027506 2404 2.439140+3-1.976560+1 2.463950+3-2.133250+1 2.475240+3-2.238450+1420027506 2405 2.481930+3-2.313940+1 2.486590+3-2.371960+1 2.492590+3-2.450590+1420027506 2406 2.496030+3-2.497180+1 2.500430+3-2.554380+1 2.505250+3-2.611220+1420027506 2407 2.510660+3-2.662500+1 2.520800+3-2.704190+1 2.532330+3-2.663380+1420027506 2408 2.542420+3-2.576080+1 2.548990+3-2.500790+1 2.561750+3-2.375970+1420027506 2409 2.575140+3-2.286360+1 2.593470+3-2.240240+1 2.607960+3-2.255820+1420027506 2410 2.623790+3-2.237630+1 2.629100+3-2.228440+1 2.641780+3-2.158150+1420027506 2411 2.655350+3-2.047370+1 2.673140+3-1.907720+1 2.687210+3-1.811810+1420027506 2412 2.718480+3-1.661070+1 2.767800+3-1.519910+1 2.802220+3-1.486460+1420027506 2413 2.823180+3-1.491280+1 2.845760+3-1.470750+1 2.856750+3-1.439930+1420027506 2414 2.881950+3-1.325250+1 2.907840+3-1.214370+1 2.927300+3-1.151430+1420027506 2415 2.993800+3-9.891150+0 3.043880+3-8.915320+0 3.106480+3-7.924250+0420027506 2416 3.258630+3-6.127620+0 3.369370+3-5.097150+0 3.423340+3-4.698860+0420027506 2417 3.592060+3-3.635800+0 3.672780+3-3.213360+0 3.757370+3-2.861460+0420027506 2418 3.844750+3-2.552270+0 3.945970+3-2.195800+0 4.009610+3-2.029110+0420027506 2419 4.072830+3-1.888750+0 4.207960+3-1.560400+0 4.289950+3-1.389560+0420027506 2420 4.401570+3-1.223310+0 4.633850+3-8.644210-1 4.769760+3-7.309850-1420027506 2421 4.929560+3-6.012610-1 5.005720+3-5.326560-1 5.169350+3-4.085610-1420027506 2422 5.235950+3-3.777460-1 5.427560+3-3.002600-1 5.508170+3-2.660200-1420027506 2423 5.593620+3-2.395820-1 5.742850+3-2.097930-1 5.994850+3-1.767480-1420027506 2424 6.121991+3-1.578160-1 6.259950+3-1.406490-1 6.284170+3-1.381630-1420027506 2425 6.374390+3-1.338480-1 6.466660+3-1.370610-1 6.623670+3-1.449410-1420027506 2426 6.781840+3-1.474660-1 7.067790+3-1.639240-1 7.123300+3-1.689130-1420027506 2427 7.292510+3-1.939990-1 7.823130+3-2.504310-1 7.911560+3-2.623320-1420027506 2428 8.059000+3-2.892140-1 8.477770+3-3.495250-1 8.786550+3-4.056860-1420027506 2429 9.297470+3-5.143020-1 9.626020+3-5.807950-1 9.922010+3-6.412110-1420027506 2430 1.058500+4-7.679950-1 1.133110+4-9.176740-1 1.199090+4-1.072610+0420027506 2431 1.310520+4-1.308650+0 1.414900+4-1.570670+0 1.463890+4-1.690970+0420027506 2432 1.588830+4-2.070740+0 1.660930+4-2.333450+0 1.724860+4-2.621420+0420027506 2433 1.820750+4-3.223670+0 1.868690+4-3.679480+0 1.920970+4-4.475430+0420027506 2434 1.939980+4-4.950420+0 1.951140+4-5.345000+0 1.956510+4-5.587600+0420027506 2435 1.961790+4-5.869270+0 1.965440+4-6.090050+0 1.969140+4-6.335040+0420027506 2436 1.971630+4-6.506890+0 1.973910+4-6.669670+0 1.976650+4-6.864740+0420027506 2437 1.980140+4-7.104090+0 1.983980+4-7.341610+0 1.988280+4-7.554960+0420027506 2438 1.995640+4-7.704740+0 2.002990+4-7.577280+0 2.011330+4-7.158440+0420027506 2439 2.018650+4-6.638910+0 2.028210+4-5.977690+0 2.033660+4-5.613090+0420027506 2440 2.044900+4-5.072810+0 2.071840+4-4.171680+0 2.089530+4-3.719550+0420027506 2441 2.122700+4-3.100960+0 2.151720+4-2.681810+0 2.202510+4-2.102700+0420027506 2442 2.240600+4-1.754650+0 2.300480+4-1.316050+0 2.354880+4-1.015900+0420027506 2443 2.486140+4-4.570170-1 2.551560+4-2.323170-1 2.584340+4-1.396780-1420027506 2444 2.650820+4-7.550890-3 2.658820+4 8.428250-3 2.705610+4 1.020290-1420027506 2445 2.749850+4 1.812940-1 2.771980+4 2.151230-1 2.848800+4 3.019670-1420027506 2446 2.885200+4 3.372550-1 2.915620+4 3.518290-1 3.045970+4 4.514640-1420027506 2447 3.087850+4 4.707480-1 3.115980+4 4.706720-1 3.176730+4 5.004260-1420027506 2448 3.328510+4 5.826820-1 3.380970+4 6.045710-1 3.424560+4 6.163930-1420027506 2449 3.485000+4 6.142430-1 3.703150+4 6.539770-1 3.844260+4 6.690120-1420027506 2450 4.224940+4 6.786460-1 4.580670+4 6.617270-1 4.878810+4 6.475700-1420027506 2451 5.269850+4 6.242790-1 5.688990+4 5.924460-1 6.195110+4 5.493570-1420027506 2452 6.665380+4 5.122900-1 7.181990+4 4.716000-1 7.788190+4 4.304700-1420027506 2453 8.535060+4 3.864780-1 9.167729+4 3.516270-1 9.764160+4 3.240020-1420027506 2454 1.055470+5 2.924760-1 1.143200+5 2.619950-1 1.226680+5 2.364460-1420027506 2455 1.312290+5 2.136880-1 1.413640+5 1.910510-1 1.507770+5 1.725490-1420027506 2456 1.697400+5 1.426380-1 1.882240+5 1.209340-1 2.006730+5 1.082580-1420027506 2457 2.151150+5 9.570640-2 2.335380+5 8.262450-2 2.487830+5 7.364270-2420027506 2458 2.672280+5 6.447880-2 2.851740+5 5.690010-2 3.045900+5 4.986080-2420027506 2459 3.441320+5 3.898600-2 3.793150+5 3.195120-2 4.049960+5 2.766710-2420027506 2460 4.366530+5 2.329430-2 4.622550+5 2.027190-2 4.911290+5 1.742460-2420027506 2461 5.524000+5 1.281660-2 6.006990+5 1.001010-2 6.623670+5 7.228740-3420027506 2462 7.085680+5 5.606800-3 7.682820+5 3.924150-3 8.226280+5 2.699710-3420027506 2463 8.824980+5 1.660010-3 9.197270+5 1.034510-3 9.807260+5 2.443870-4420027506 2464 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0420027506 2465 420027 0 2466 4200 0 0 2467 0 0 0 2468 4.300000+4 9.607400+1 -1 0 2 24300 1451 1 0.000000+0 0.000000+0 0 0 0 64300 1451 2 0.000000+0 0.000000+0 0 0 3 24300 1451 3 0.000000+0 0.000000+0 0 0 139 274300 1451 4 43-TC LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4300 1451 6 ----JEF-2 MATERIAL 4300 REVISION 0 4300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4300 1451 8 ------ENDF-6 FORMAT 4300 1451 9 ******************************************************************4300 1451 10 * JEF-2 *4300 1451 11 * DATA TAKEN FROM EPDL *4300 1451 12 ******************************************************************4300 1451 13 =================================================================4300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4300 1451 15 ENDF/B-VI FORMAT 4300 1451 16 =================================================================4300 1451 17 CONTENTS 4300 1451 18 =================================================================4300 1451 19 MF/MT DESCRIPTION 4300 1451 20 =================================================================4300 1451 21 23/501 TOTAL CROSS SECTION 4300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 43 =================================================================4300 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4300 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4300 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4300 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4300 1451 48 =================================================================4300 1451 49 WARNING 4300 1451 50 =================================================================4300 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4300 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4300 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4300 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4300 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4300 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4300 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4300 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4300 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4300 1451 60 =================================================================4300 1451 61 DEFINITION OF NEW TYPES OF DATA 4300 1451 62 =================================================================4300 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4300 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4300 1451 65 4300 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4300 1451 67 C2 FIELDS ARE, 4300 1451 68 4300 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4300 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4300 1451 71 4300 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4300 1451 73 4300 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4300 1451 75 4300 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4300 1451 77 T = THE THOMSON CROSS SECTION 4300 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4300 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4300 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4300 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4300 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4300 1451 83 4300 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4300 1451 85 4300 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4300 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4300 1451 88 =================================================================4300 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4300 1451 90 =================================================================4300 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4300 1451 92 HERE - 10 EV TO 100 MEV 4300 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4300 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4300 1451 95 HERE - PHOTON INTERACTION 4300 1451 96 - AVERAGE FLUORESCENCE YIELD 4300 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4300 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4300 1451 99 HERE - NO SECONDARY ENERGY DATA 4300 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4300 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4300 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4300 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4300 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4300 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4300 1451 106 (SINCE THEY CAN BE NEGATIVE). 4300 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4300 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4300 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4300 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4300 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4300 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4300 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4300 1451 114 =================================================================4300 1451 115 REFERENCES 4300 1451 116 =================================================================4300 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4300 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4300 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4300 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4300 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4300 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4300 1451 123 4300 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4300 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4300 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4300 1451 127 OF THE DATA, ETC. 4300 1451 128 =================================================================4300 1451 129 HISTORY 4300 1451 130 =================================================================4300 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4300 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4300 1451 133 CROSS SECTIONS. 4300 1451 134 =================================================================4300 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4300 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4300 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4300 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4300 1451 139 *RECONSTRUCTED MT NUMBERS 4300 1451 140 516 =+(515,515)+(517,517) 4300 1451 141 522 =+(534,572) 4300 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4300 1451 143 1 451 170 14300 1451 144 23 501 470 14300 1451 145 23 502 117 14300 1451 146 23 504 30 14300 1451 147 23 515 30 14300 1451 148 23 516 58 14300 1451 149 23 517 41 14300 1451 150 23 522 319 24300 1451 151 23 534 39 24300 1451 152 23 535 47 24300 1451 153 23 536 53 24300 1451 154 23 537 54 24300 1451 155 23 538 52 24300 1451 156 23 539 57 24300 1451 157 23 540 60 24300 1451 158 23 541 77 24300 1451 159 23 542 78 24300 1451 160 23 543 57 24300 1451 161 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8.738850+1 3.961360+5 9.000000+1 3.750760+5430023545 1902 1.000000+2 3.245140+5 1.106680+2 2.975030+5 1.288420+2 2.766330+5430023545 1903 1.500000+2 2.636400+5 2.000000+2 2.284270+5 2.333880+2 2.017250+5430023545 1904 2.723500+2 1.781450+5 3.000000+2 1.616370+5 3.289090+2 1.447930+5430023545 1905 3.775790+2 1.227610+5 4.334500+2 1.040810+5 4.701560+2 9.259229+4430023545 1906 5.311250+2 7.769260+4 6.000000+2 6.519050+4 6.447420+2 5.802910+4430023545 1907 7.181880+2 4.873470+4 8.000000+2 4.092900+4 8.944270+2 3.366310+4430023545 1908 1.000000+3 2.768700+4 1.106680+3 2.282480+4 1.194100+3 1.974720+4430023545 1909 1.338340+3 1.589110+4 1.500000+3 1.278800+4 1.611850+3 1.100800+4430023545 1910 1.795470+3 8.791560+3 2.000000+3 7.021400+3 2.217040+3 5.554580+3430023545 1911 2.395150+3 4.659310+3 2.538060+3 4.083890+3 2.768560+3 3.351220+3430023545 1912 3.020000+3 2.750000+3 3.239810+3 2.313560+3 3.415110+3 2.032310+3430023545 1913 3.696010+3 1.673240+3 4.000000+3 1.377600+3 4.207960+3 1.205830+3430023545 1914 4.598240+3 9.551440+2 4.914520+3 8.019670+2 5.165930+3 7.034320+2430023545 1915 5.567370+3 5.778570+2 6.000000+3 4.747000+2 6.447420+3 3.882880+2430023545 1916 6.804750+3 3.339680+2 7.378210+3 2.663990+2 8.000000+3 2.125000+2430023545 1917 8.458970+3 1.806470+2 9.197270+3 1.415920+2 1.000000+4 1.109800+2430023545 1918 1.051990+4 9.511660+1 1.099690+4 8.310770+1 1.188440+4 6.562440+1430023545 1919 1.259670+4 5.497090+1 1.315870+4 4.813200+1 1.404920+4 3.943530+1430023545 1920 1.500000+4 3.231000+1 1.565920+4 2.816940+1 1.688320+4 2.215890+1430023545 1921 1.786370+4 1.850870+1 1.863620+4 1.617140+1 1.985800+4 1.320700+1430023545 1922 2.116000+4 1.078600+1 2.210380+4 9.332450+0 2.296400+4 8.222220+0430023545 1923 2.455080+4 6.587610+0 2.581250+4 5.578680+0 2.680110+4 4.924750+0430023545 1924 2.835550+4 4.084740+0 3.000000+4 3.388000+0 3.197810+4 2.722480+0430023545 1925 3.381560+4 2.248320+0 3.550980+4 1.901690+0 3.706180+4 1.642530+0430023545 1926 3.847530+4 1.444900+0 4.107990+4 1.154540+0 4.314830+4 9.757400-1430023545 1927 4.476780+4 8.600620-1 4.731160+4 7.117420-1 5.000000+4 5.890000-1430023545 1928 5.221370+4 5.057140-1 5.437800+4 4.383620-1 5.648840+4 3.833900-1430023545 1929 5.854120+4 3.381310-1 6.259340+4 2.671730-1 6.636860+4 2.174140-1430023545 1930 6.985820+4 1.815390-1 7.306180+4 1.550400-1 7.598520+4 1.350460-1430023545 1931 8.138540+4 1.060600-1 8.568600+4 8.848100-2 8.906000+4 7.723700-2430023545 1932 9.437160+4 6.299250-2 1.000000+5 5.137500-2 1.051990+5 4.299210-2430023545 1933 1.099690+5 3.678710-2 1.143200+5 3.209690-2 1.223530+5 2.528180-2430023545 1934 1.287460+5 2.113810-2 1.337590+5 1.848250-2 1.416470+5 1.511130-2430023545 1935 1.500000+5 1.235500-2 1.611850+5 9.644790-3 1.701190+5 8.009950-3430023545 1936 1.771420+5 6.968400-3 1.882240+5 5.654420-3 2.000000+5 4.588200-3430023545 1937 2.103980+5 3.881720-3 2.199390+5 3.353390-3 2.286410+5 2.950430-3430023545 1938 2.447070+5 2.358240-3 2.574930+5 1.993500-3 2.675180+5 1.757470-3430023545 1939 2.832940+5 1.454760-3 3.000000+5 1.204200-3 3.223710+5 9.645780-4430023545 1940 3.402370+5 8.167080-4 3.542840+5 7.208810-4 3.764490+5 5.978040-4430023545 1941 4.000000+5 4.957400-4 4.229490+5 4.221830-4 4.598630+5 3.317960-4430023545 1942 5.000000+5 2.607600-4 5.233180+5 2.305880-4 5.603490+5 1.917480-4430023545 1943 6.000000+5 1.594500-4 6.447420+5 1.334200-4 6.804750+5 1.167260-4430023545 1944 7.378210+5 9.551920-5 8.000000+5 7.816500-5 8.458970+5 6.897290-5430023545 1945 9.197270+5 5.717130-5 1.000000+6 4.738900-5 1.022000+6 4.530500-5430023545 1946 1.102170+6 3.895790-5 1.188630+6 3.350000-5 1.250000+6 3.044440-5430023545 1947 1.369310+6 2.578520-5 1.500000+6 2.183900-5 1.611850+6 1.930530-5430023545 1948 1.795470+6 1.604500-5 2.000000+6 1.333540-5 2.044000+6 1.287000-5430023545 1949 2.249780+6 1.110020-5 2.417610+6 9.934460-6 2.693110+6 8.411330-6430023545 1950 3.000000+6 7.121730-6 3.464100+6 5.811690-6 4.000000+6 4.742630-6430023545 1951 4.472140+6 4.086160-6 5.000000+6 3.520550-6 5.477230+6 3.132070-6430023545 1952 6.000000+6 2.786460-6 7.000000+6 2.299890-6 8.000000+6 1.954760-6430023545 1953 9.000000+6 1.698750-6 1.000000+7 1.500730-6 1.100000+7 1.343160-6430023545 1954 1.200000+7 1.215570-6 1.300000+7 1.109770-6 1.400000+7 1.020660-6430023545 1955 1.500000+7 9.448490-7 1.600000+7 8.793600-7 1.800000+7 7.721450-7430023545 1956 2.000000+7 6.881270-7 2.200000+7 6.203760-7 2.400000+7 5.649290-7430023545 1957 2.600000+7 5.183940-7 2.800000+7 4.789310-7 3.000000+7 4.451260-7430023545 1958 3.464100+7 3.825190-7 4.000000+7 3.287170-7 4.472140+7 2.926500-7430023545 1959 5.000000+7 2.605410-7 6.000000+7 2.158440-7 6.928200+7 1.861490-7430023545 1960 8.000000+7 1.605390-7 8.944271+7 1.432660-7 1.000000+8 1.278520-7430023545 1961 430023 0 1962 4.300000+4 9.607400+1 0 0 0 0430023546 1963 8.070000+0 0.000000+0 0 0 1 249430023546 1964 249 2 0 0 0 0430023546 1965 1.000000+1 5.030900+6 1.500000+1 8.032640+6 2.000000+1 1.048210+7430023546 1966 2.299120+1 1.142830+7 2.528320+1 1.168140+7 2.833730+1 1.127280+7430023546 1967 3.000000+1 1.072220+7 3.311840+1 9.269960+6 3.495380+1 8.221860+6430023546 1968 3.689100+1 7.292260+6 4.000000+1 5.784940+6 4.230990+1 4.759210+6430023546 1969 4.475320+1 3.915360+6 4.730390+1 3.107430+6 5.000000+1 2.466220+6430023546 1970 5.248550+1 1.949660+6 5.509450+1 1.541300+6 5.749500+1 1.218890+6430023546 1971 6.000000+1 9.639160+5 6.235740+1 7.589080+5 6.480740+1 5.975010+5430023546 1972 6.606830+1 5.229470+5 6.800570+1 4.281890+5 7.000000+1 3.506020+5430023546 1973 7.170410+1 2.913050+5 7.322920+1 2.477080+5 7.459020+1 2.149470+5430023546 1974 7.703320+1 1.676950+5 7.891780+1 1.392070+5 8.036150+1 1.210640+5430023546 1975 8.257660+1 9.818579+4 8.485280+1 7.963090+4 8.674760+1 6.948040+4430023546 1976 8.868470+1 6.062380+4 9.000000+1 5.660070+4 9.240210+1 5.176340+4430023546 1977 9.612600+1 4.846030+4 1.000000+2 4.809980+4 1.051990+2 5.013800+4430023546 1978 1.099690+2 5.383870+4 1.188440+2 6.532400+4 1.335160+2 8.730520+4430023546 1979 1.500000+2 1.166830+5 1.611860+2 1.274950+5 1.771420+2 1.320310+5430023546 1980 2.000000+2 1.276820+5 2.452820+2 1.131160+5 2.723500+2 1.022510+5430023546 1981 3.000000+2 9.113260+4 3.341750+2 7.779260+4 3.722420+2 6.640530+4430023546 1982 4.111570+2 5.573490+4 4.541400+2 4.677900+4 4.868890+2 4.057870+4430023546 1983 5.404940+2 3.278440+4 6.000000+2 2.648730+4 6.447420+2 2.243590+4430023546 1984 6.804750+2 1.980940+4 7.378210+2 1.643480+4 8.000000+2 1.363510+4430023546 1985 8.458970+2 1.185620+4 9.197270+2 9.613430+3 1.000000+3 7.794900+3430023546 1986 1.078990+3 6.349310+3 1.142300+3 5.443950+3 1.244300+3 4.322100+3430023546 1987 1.355400+3 3.431430+3 1.422940+3 2.973340+3 1.484800+3 2.622960+3430023546 1988 1.599590+3 2.106200+3 1.691470+3 1.786620+3 1.763820+3 1.579170+3430023546 1989 1.878200+3 1.312280+3 2.000000+3 1.090500+3 2.087580+3 9.512810+2430023546 1990 2.250180+3 7.490380+2 2.380390+3 6.261090+2 2.482970+3 5.473440+2430023546 1991 2.645190+3 4.473780+2 2.818000+3 3.656700+2 2.944120+3 3.151060+2430023546 1992 3.059100+3 2.766320+2 3.271220+3 2.202590+2 3.439920+3 1.856550+2430023546 1993 3.572120+3 1.633190+2 3.780010+3 1.347510+2 4.000000+3 1.111800+2430023546 1994 4.229490+3 9.123110+1 4.410200+3 7.865560+1 4.695850+3 6.296660+1430023546 1995 5.000000+3 5.040700+1 5.233180+3 4.267900+1 5.603491+3 3.325050+1430023546 1996 6.000000+3 2.590500+1 6.219690+3 2.262190+1 6.623670+3 1.784570+1430023546 1997 6.943790+3 1.493780+1 7.193991+3 1.307220+1 7.586300+3 1.070160+1430023546 1998 8.000000+3 8.760800+0 8.458970+3 7.054420+0 8.820401+3 5.996520+0430023546 1999 9.391701+3 4.699550+0 1.000000+4 3.683100+0 1.051990+4 3.006210+0430023546 2000 1.099690+4 2.516810+0 1.143200+4 2.154400+0 1.182690+4 1.880370+0430023546 2001 1.255090+4 1.482000+0 1.312290+4 1.239660+0 1.356890+4 1.084280+0430023546 2002 1.426650+4 8.869540-1 1.500000+4 7.255400-1 1.565920+4 6.073030-1430023546 2003 1.625970+4 5.197650-1 1.680400+4 4.535840-1 1.780080+4 3.573940-1430023546 2004 1.858690+4 2.988920-1 1.919930+4 2.613910-1 2.015580+4 2.137730-1430023546 2005 2.116000+4 1.748300-1 2.201910+4 1.476580-1 2.285620+4 1.260330-1430023546 2006 2.366980+4 1.086450-1 2.445890+4 9.452910-2 2.522250+4 8.296560-2430023546 2007 2.671910+4 6.496020-2 2.810130+4 5.244180-2 2.936930+4 4.348400-2430023546 2008 3.052560+4 3.691050-2 3.157460+4 3.197920-2 3.349800+4 2.488130-2430023546 2009 3.501700+4 2.061230-2 3.620130+4 1.789860-2 3.805330+4 1.448290-2430023546 2010 4.000000+4 1.171900-2 4.177100+4 9.733920-3 4.350240+4 8.179420-3430023546 2011 4.519070+4 6.948320-3 4.683290+4 5.963000-3 4.842670+4 5.166560-3430023546 2012 4.997010+4 4.516780-3 5.299780+4 3.510590-3 5.579710+4 2.815870-3430023546 2013 5.836760+4 2.321760-3 6.071370+4 1.961080-3 6.284370+4 1.691760-3430023546 2014 6.476870+4 1.486630-3 6.828050+4 1.185660-3 7.103870+4 1.000650-3430023546 2015 7.318020+4 8.810940-4 7.651420+4 7.280020-4 8.000000+4 6.015100-4430023546 2016 8.458970+4 4.747670-4 8.820400+4 3.975660-4 9.101570+4 3.480210-4430023546 2017 9.540210+4 2.850360-4 1.000000+5 2.334500-4 1.051990+5 1.890700-4430023546 2018 1.099690+5 1.572160-4 1.143200+5 1.337790-4 1.182690+5 1.161560-4430023546 2019 1.255090+5 9.071700-5 1.312290+5 7.536550-5 1.356890+5 6.558210-5430023546 2020 1.426650+5 5.323590-5 1.500000+5 4.321400-5 1.554920+5 3.738560-5430023546 2021 1.604630+5 3.293430-5 1.695460+5 2.638160-5 1.766950+5 2.233780-5430023546 2022 1.879870+5 1.740400-5 2.000000+5 1.356000-5 2.103980+5 1.116200-5430023546 2023 2.199390+5 9.414270-6 2.286410+5 8.111040-6 2.365370+5 7.119600-6430023546 2024 2.510180+5 5.667200-6 2.624580+5 4.775880-6 2.713780+5 4.200660-6430023546 2025 2.853300+5 3.465070-6 3.000000+5 2.858300-6 3.109840+5 2.509710-6430023546 2026 3.311840+5 1.998830-6 3.471900+5 1.685160-6 3.597000+5 1.482650-6430023546 2027 3.793150+5 1.223590-6 4.000000+5 1.009800-6 4.229490+5 8.351300-7430023546 2028 4.410200+5 7.242570-7 4.695850+5 5.849270-7 5.000000+5 4.724000-7430023546 2029 5.233180+5 4.075800-7 5.603490+5 3.266380-7 6.000000+5 2.617700-7430023546 2030 6.447420+5 2.105300-7 6.804750+5 1.787960-7 7.085680+5 1.581770-7430023546 2031 7.528970+5 1.316190-7 8.000000+5 1.095200-7 8.458970+5 9.386710-8430023546 2032 9.197270+5 7.448060-8 1.000000+6 5.909800-8 1.022000+6 5.613520-8430023546 2033 1.102170+6 4.790580-8 1.188630+6 4.088280-8 1.250000+6 3.726160-8430023546 2034 1.369310+6 3.185630-8 1.500000+6 2.723510-8 1.611850+6 2.407530-8430023546 2035 1.795470+6 2.000950-8 2.000000+6 1.663030-8 2.044000+6 1.605000-8430023546 2036 2.249780+6 1.384290-8 2.417610+6 1.238910-8 2.693110+6 1.048960-8430023546 2037 3.000000+6 8.881390-9 3.464100+6 7.247660-9 4.000000+6 5.914460-9430023546 2038 4.472140+6 5.095780-9 5.000000+6 4.390420-9 5.477230+6 3.905950-9430023546 2039 6.000000+6 3.474940-9 7.000000+6 2.868150-9 8.000000+6 2.437750-9430023546 2040 9.000000+6 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4.749630+3-1.065180+0 4.855710+3-9.493330-1430027506 2453 4.952830+3-8.567980-1 5.188790+3-5.927710-1 5.712100+3-2.965720-1430027506 2454 5.742850+3-2.812050-1 5.787390+3-2.650430-1 6.158300+3-1.553370-1430027506 2455 6.206810+3-1.451260-1 6.307040+3-1.329430-1 6.623670+3-1.111480-1430027506 2456 6.738741+3-1.053260-1 6.867830+3-1.091890-1 7.085681+3-1.246240-1430027506 2457 7.431190+3-1.421930-1 7.680260+3-1.706270-1 8.259460+3-2.274130-1430027506 2458 8.406810+3-2.471140-1 8.515330+3-2.670380-1 8.637790+3-2.836450-1430027506 2459 8.861201+3-3.100120-1 9.150651+3-3.552680-1 9.398670+3-4.047470-1430027506 2460 9.658111+3-4.594540-1 1.026640+4-5.774920-1 1.077360+4-6.776470-1430027506 2461 1.166590+4-8.461740-1 1.255090+4-1.031470+0 1.379230+4-1.272570+0430027506 2462 1.517660+4-1.595870+0 1.582040+4-1.769090+0 1.668790+4-2.015010+0430027506 2463 1.748030+4-2.286580+0 1.818960+4-2.594940+0 1.920830+4-3.216110+0430027506 2464 1.966690+4-3.627690+0 2.020770+4-4.400150+0 2.040780+4-4.866510+0430027506 2465 2.053460+4-5.290030+0 2.059110+4-5.534420+0 2.064670+4-5.818750+0430027506 2466 2.068510+4-6.041800+0 2.072410+4-6.289310+0 2.075020+4-6.462760+0430027506 2467 2.077430+4-6.626860+0 2.080310+4-6.823070+0 2.083980+4-7.062650+0430027506 2468 2.088020+4-7.298050+0 2.092550+4-7.502980+0 2.101810+4-7.632890+0430027506 2469 2.111070+4-7.372470+0 2.118360+4-6.914200+0 2.127640+4-6.238900+0430027506 2470 2.140630+4-5.382280+0 2.149370+4-4.919640+0 2.166280+4-4.323580+0430027506 2471 2.198010+4-3.568950+0 2.225760+4-3.089780+0 2.274340+4-2.457920+0430027506 2472 2.310760+4-2.090470+0 2.365410+4-1.653680+0 2.420050+4-1.336790+0430027506 2473 2.517380+4-9.068180-1 2.556220+4-7.592820-1 2.599910+4-6.291110-1430027506 2474 2.703690+4-3.613620-1 2.755580+4-2.433050-1 2.835550+4-1.186430-1430027506 2475 2.907950+4-3.558180-3 2.957250+4 7.533780-2 3.032140+4 1.805840-1430027506 2476 3.069590+4 2.231720-1 3.090650+4 2.414180-1 3.130010+4 2.614890-1430027506 2477 3.323220+4 4.337170-1 3.400140+4 4.899070-1 3.437420+4 5.098260-1430027506 2478 3.466180+4 5.181350-1 3.474700+4 5.172060-1 3.711580+4 5.900060-1430027506 2479 3.847530+4 6.202800-1 3.930080+4 6.215310-1 4.171690+4 6.606740-1430027506 2480 4.519070+4 6.607090-1 4.921470+4 6.535400-1 5.313120+4 6.377910-1430027506 2481 5.721570+4 6.118890-1 6.176950+4 5.763670-1 6.648960+4 5.406440-1430027506 2482 7.210150+4 4.972060-1 7.811329+4 4.566020-1 8.535060+4 4.134490-1430027506 2483 9.167729+4 3.773740-1 9.767400+4 3.482870-1 1.055470+5 3.154200-1430027506 2484 1.143200+5 2.835160-1 1.223530+5 2.572590-1 1.312290+5 2.320660-1430027506 2485 1.399390+5 2.110920-1 1.494080+5 1.907000-1 1.607080+5 1.702420-1430027506 2486 1.761700+5 1.473040-1 1.894160+5 1.306440-1 2.006730+5 1.183140-1430027506 2487 2.151150+5 1.049630-1 2.326710+5 9.132440-2 2.488670+5 8.088610-2430027506 2488 2.668810+5 7.108850-2 2.853300+5 6.255330-2 3.045700+5 5.491340-2430027506 2489 3.441320+5 4.296930-2 3.793150+5 3.524130-2 4.049960+5 3.052820-2430027506 2490 4.366530+5 2.571240-2 4.612990+5 2.249550-2 4.896520+5 1.937070-2430027506 2491 5.530550+5 1.411830-2 6.000000+5 1.109990-2 6.623670+5 7.987580-3430027506 2492 7.085680+5 6.194770-3 7.682820+5 4.335270-3 8.226280+5 2.983320-3430027506 2493 8.820400+5 1.843750-3 9.197270+5 1.142310-3 9.808360+5 2.687530-4430027506 2494 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0430027506 2495 430027 0 2496 4300 0 0 2497 0 0 0 2498 4.400000+4 1.002020+2 -1 0 2 24400 1451 1 0.000000+0 0.000000+0 0 0 0 64400 1451 2 0.000000+0 0.000000+0 0 0 3 24400 1451 3 0.000000+0 0.000000+0 0 0 139 274400 1451 4 44-RU LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4400 1451 6 ----JEF-2 MATERIAL 4400 REVISION 0 4400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4400 1451 8 ------ENDF-6 FORMAT 4400 1451 9 ******************************************************************4400 1451 10 * JEF-2 *4400 1451 11 * DATA TAKEN FROM EPDL *4400 1451 12 ******************************************************************4400 1451 13 =================================================================4400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4400 1451 15 ENDF/B-VI FORMAT 4400 1451 16 =================================================================4400 1451 17 CONTENTS 4400 1451 18 =================================================================4400 1451 19 MF/MT DESCRIPTION 4400 1451 20 =================================================================4400 1451 21 23/501 TOTAL CROSS SECTION 4400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 43 =================================================================4400 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4400 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4400 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4400 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4400 1451 48 =================================================================4400 1451 49 WARNING 4400 1451 50 =================================================================4400 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4400 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4400 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4400 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4400 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4400 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4400 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4400 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4400 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4400 1451 60 =================================================================4400 1451 61 DEFINITION OF NEW TYPES OF DATA 4400 1451 62 =================================================================4400 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4400 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4400 1451 65 4400 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4400 1451 67 C2 FIELDS ARE, 4400 1451 68 4400 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4400 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4400 1451 71 4400 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4400 1451 73 4400 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4400 1451 75 4400 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4400 1451 77 T = THE THOMSON CROSS SECTION 4400 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4400 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4400 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4400 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4400 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4400 1451 83 4400 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4400 1451 85 4400 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4400 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4400 1451 88 =================================================================4400 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4400 1451 90 =================================================================4400 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4400 1451 92 HERE - 10 EV TO 100 MEV 4400 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4400 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4400 1451 95 HERE - PHOTON INTERACTION 4400 1451 96 - AVERAGE FLUORESCENCE YIELD 4400 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4400 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4400 1451 99 HERE - NO SECONDARY ENERGY DATA 4400 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4400 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4400 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4400 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4400 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4400 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4400 1451 106 (SINCE THEY CAN BE NEGATIVE). 4400 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4400 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4400 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4400 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4400 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4400 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4400 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4400 1451 114 =================================================================4400 1451 115 REFERENCES 4400 1451 116 =================================================================4400 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4400 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4400 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4400 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4400 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4400 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4400 1451 123 4400 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4400 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4400 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4400 1451 127 OF THE DATA, ETC. 4400 1451 128 =================================================================4400 1451 129 HISTORY 4400 1451 130 =================================================================4400 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4400 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4400 1451 133 CROSS SECTIONS. 4400 1451 134 =================================================================4400 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4400 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4400 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4400 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4400 1451 139 *RECONSTRUCTED MT NUMBERS 4400 1451 140 516 =+(515,515)+(517,517) 4400 1451 141 522 =+(534,572) 4400 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4400 1451 143 1 451 170 14400 1451 144 23 501 463 14400 1451 145 23 502 117 14400 1451 146 23 504 31 14400 1451 147 23 515 30 14400 1451 148 23 516 58 14400 1451 149 23 517 41 14400 1451 150 23 522 311 24400 1451 151 23 534 39 24400 1451 152 23 535 46 24400 1451 153 23 536 53 24400 1451 154 23 537 53 24400 1451 155 23 538 52 24400 1451 156 23 539 57 24400 1451 157 23 540 59 24400 1451 158 23 541 76 24400 1451 159 23 542 76 24400 1451 160 23 543 57 24400 1451 161 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1.608830+1440023545 1901 2.086950+4 1.314310+1 2.224000+4 1.073700+1 2.396800+4 8.384170+0440023545 1902 2.535150+4 6.964540+0 2.644130+4 6.059920+0 2.816450+4 4.918460+0440023545 1903 3.000000+4 3.992000+0 3.197810+4 3.211230+0 3.381560+4 2.654400+0440023545 1904 3.550980+4 2.246990+0 3.706180+4 1.942140+0 3.847530+4 1.709520+0440023545 1905 4.107990+4 1.367460+0 4.314830+4 1.156630+0 4.476780+4 1.020130+0440023545 1906 4.731160+4 8.449790-1 5.000000+4 6.999000-1 5.221370+4 6.012960-1440023545 1907 5.437800+4 5.215090-1 5.648840+4 4.563520-1 5.854120+4 4.026800-1440023545 1908 6.259340+4 3.184740-1 6.636860+4 2.593720-1 6.985820+4 2.167290-1440023545 1909 7.306180+4 1.852090-1 7.598520+4 1.614120-1 8.138540+4 1.268880-1440023545 1910 8.568600+4 1.059330-1 8.906000+4 9.252130-2 9.437160+4 7.551890-2440023545 1911 1.000000+5 6.164100-2 1.051990+5 5.161170-2 1.099690+5 4.418410-2440023545 1912 1.143200+5 3.856730-2 1.223530+5 3.040100-2 1.287460+5 2.543260-2440023545 1913 1.337590+5 2.224670-2 1.416470+5 1.820040-2 1.500000+5 1.489000-2440023545 1914 1.611850+5 1.163160-2 1.701190+5 9.664960-3 1.771420+5 8.411420-3440023545 1915 1.882240+5 6.829260-3 2.000000+5 5.544700-3 2.103980+5 4.692620-3440023545 1916 2.199390+5 4.055180-3 2.286410+5 3.568870-3 2.447070+5 2.853920-3440023545 1917 2.574930+5 2.413370-3 2.675180+5 2.128200-3 2.832940+5 1.762350-3440023545 1918 3.000000+5 1.459400-3 3.223710+5 1.169460-3 3.402370+5 9.904800-4440023545 1919 3.542840+5 8.744600-4 3.764490+5 7.254070-4 4.000000+5 6.017600-4440023545 1920 4.229490+5 5.125780-4 4.598630+5 4.029640-4 5.000000+5 3.167900-4440023545 1921 5.233180+5 2.801380-4 5.603490+5 2.329560-4 6.000000+5 1.937200-4440023545 1922 6.447420+5 1.621020-4 6.804750+5 1.418240-4 7.378210+5 1.160620-4440023545 1923 8.000000+5 9.498000-5 8.458970+5 8.381110-5 9.197270+5 6.947130-5440023545 1924 1.000000+6 5.758500-5 1.022000+6 5.505410-5 1.102170+6 4.735630-5440023545 1925 1.188630+6 4.073480-5 1.250000+6 3.699690-5 1.369310+6 3.132400-5440023545 1926 1.500000+6 2.652100-5 1.611850+6 2.344070-5 1.795470+6 1.947780-5440023545 1927 2.000000+6 1.618490-5 2.044000+6 1.562790-5 2.249780+6 1.347590-5440023545 1928 2.417610+6 1.205860-5 2.693110+6 1.020730-5 3.000000+6 8.640200-6440023545 1929 3.464100+6 7.048380-6 4.000000+6 5.749820-6 4.472140+6 4.952620-6440023545 1930 5.000000+6 4.265950-6 5.477230+6 3.795110-6 6.000000+6 3.376240-6440023545 1931 7.000000+6 2.785170-6 8.000000+6 2.367390-6 9.000000+6 2.056380-6440023545 1932 1.000000+7 1.816550-6 1.100000+7 1.626230-6 1.200000+7 1.471340-6440023545 1933 1.300000+7 1.343220-6 1.400000+7 1.235380-6 1.500000+7 1.143470-6440023545 1934 1.600000+7 1.064090-6 1.800000+7 9.342680-7 2.000000+7 8.324550-7440023545 1935 2.200000+7 7.506020-7 2.400000+7 6.832940-7 2.600000+7 6.271260-7440023545 1936 2.800000+7 5.794690-7 3.000000+7 5.384650-7 3.464100+7 4.627370-7440023545 1937 4.000000+7 3.976600-7 4.472140+7 3.540310-7 5.000000+7 3.151880-7440023545 1938 6.000000+7 2.608770-7 6.928200+7 2.250760-7 8.000000+7 1.941880-7440023545 1939 8.944271+7 1.732630-7 1.000000+8 1.545920-7 0.000000+0 0.000000+0440023545 1940 440023 0 1941 4.400000+4 1.002020+2 0 0 0 0440023546 1942 9.150000+0 0.000000+0 0 0 1 246440023546 1943 246 2 0 0 0 0440023546 1944 1.000000+1 4.099040+6 1.500000+1 6.912050+6 2.000000+1 9.705450+6440023546 1945 2.449490+1 1.191380+7 2.710810+1 1.260000+7 3.000000+1 1.261930+7440023546 1946 3.311840+1 1.181740+7 3.542840+1 1.084590+7 3.841410+1 9.348760+6440023546 1947 4.000000+1 8.514680+6 4.200100+1 7.405930+6 4.410200+1 6.441550+6440023546 1948 4.598630+1 5.548530+6 4.795120+1 4.779320+6 4.977590+1 4.097800+6440023546 1949 5.167000+1 3.513460+6 5.343970+1 3.013000+6 5.527000+1 2.583820+6440023546 1950 5.758650+1 2.095220+6 6.000000+1 1.699010+6 6.235740+1 1.361370+6440023546 1951 6.480740+1 1.090830+6 6.735370+1 8.509030+5 7.000000+1 6.637470+5440023546 1952 7.237630+1 5.230000+5 7.483320+1 4.120990+5 7.640840+1 3.498340+5440023546 1953 7.781380+1 3.031200+5 8.033580+1 2.358750+5 8.228080+1 1.954260+5440023546 1954 8.377040+1 1.697100+5 8.605560+1 1.373390+5 8.840300+1 1.111430+5440023546 1955 9.038040+1 9.587710+4 9.240210+1 8.270810+4 9.612600+1 6.778530+4440023546 1956 1.000000+2 5.925820+4 1.037920+2 5.542500+4 1.073980+2 5.456850+4440023546 1957 1.119780+2 5.630890+4 1.181430+2 6.253020+4 1.254090+2 7.553460+4440023546 1958 1.371540+2 1.002840+5 1.500000+2 1.331420+5 1.604630+2 1.503250+5440023546 1959 1.735950+2 1.596490+5 2.000000+2 1.568170+5 2.519930+2 1.397860+5440023546 1960 3.004200+2 1.182640+5 3.344670+2 1.020260+5 3.723720+2 8.801750+4440023546 1961 3.991700+2 7.796510+4 4.430260+2 6.499760+4 4.917000+2 5.418690+4440023546 1962 5.431570+2 4.427200+4 6.000000+2 3.617130+4 6.447420+2 3.073410+4440023546 1963 6.804750+2 2.719960+4 7.378210+2 2.264510+4 8.000000+2 1.885330+4440023546 1964 8.458970+2 1.642890+4 9.197270+2 1.336410+4 1.000000+3 1.087100+4440023546 1965 1.078990+3 8.881330+3 1.142300+3 7.631931+3 1.244300+3 6.079520+3440023546 1966 1.355400+3 4.842880+3 1.422940+3 4.204460+3 1.484800+3 3.715280+3440023546 1967 1.599590+3 2.992150+3 1.691470+3 2.543770+3 1.839280+3 1.993970+3440023546 1968 2.000000+3 1.563000+3 2.135350+3 1.275730+3 2.242840+3 1.095500+3440023546 1969 2.414310+3 8.717420+2 2.598890+3 6.936890+2 2.743410+3 5.801950+2440023546 1970 2.857050+3 5.074350+2 3.036400+3 4.150410+2 3.227000+3 3.394700+2440023546 1971 3.404980+3 2.828700+2 3.544870+3 2.467040+2 3.765570+3 2.009370+2440023546 1972 4.000000+3 1.636600+2 4.207960+3 1.365900+2 4.398770+3 1.166030+2440023546 1973 4.572820+3 1.015280+2 4.894130+3 7.968490+1 5.149850+3 6.644590+1440023546 1974 5.350370+3 5.798110+1 5.665880+3 4.726230+1 6.000000+3 3.852500+1440023546 1975 6.219690+3 3.367890+1 6.623670+3 2.661850+1 6.943790+3 2.231270+1440023546 1976 7.193991+3 1.954700+1 7.586300+3 1.602770+1 8.000000+3 1.314200+1440023546 1977 8.458970+3 1.059800+1 8.820401+3 9.018800+0 9.391701+3 7.080010+0440023546 1978 1.000000+4 5.558000+0 1.051990+4 4.542270+0 1.099690+4 3.807000+0440023546 1979 1.143200+4 3.261970+0 1.182690+4 2.849470+0 1.255090+4 2.249120+0440023546 1980 1.312290+4 1.883420+0 1.356890+4 1.648730+0 1.426650+4 1.350370+0440023546 1981 1.500000+4 1.106000+0 1.575690+4 9.029010-1 1.645050+4 7.560310-1440023546 1982 1.708240+4 6.472560-1 1.765520+4 5.649970-1 1.870410+4 4.453930-1440023546 1983 1.953160+4 3.726200-1 2.017610+4 3.259560-1 2.118290+4 2.666840-1440023546 1984 2.224000+4 2.181900-1 2.307110+4 1.868290-1 2.387840+4 1.615350-1440023546 1985 2.466090+4 1.409410-1 2.541770+4 1.240250-1 2.690000+4 9.758780-2440023546 1986 2.826770+4 7.912170-2 2.952140+4 6.585420-2 3.066390+4 5.608350-2440023546 1987 3.169980+4 4.873100-2 3.359750+4 3.810680-2 3.509500+4 3.168850-2440023546 1988 3.626180+4 2.759460-2 3.808500+4 2.242390-2 4.000000+4 1.822200-2440023546 1989 4.177100+4 1.514540-2 4.350240+4 1.273450-2 4.519070+4 1.082410-2440023546 1990 4.683290+4 9.294260-3 4.842670+4 8.056980-3 4.997010+4 7.047050-3440023546 1991 5.299780+4 5.482120-3 5.579710+4 4.400710-3 5.836760+4 3.630980-3440023546 1992 6.071370+4 3.068760-3 6.284370+4 2.648710-3 6.476870+4 2.328620-3440023546 1993 6.828050+4 1.858690-3 7.103870+4 1.569600-3 7.538629+4 1.218050-3440023546 1994 8.000000+4 9.452300-4 8.458970+4 7.465960-4 8.820400+4 6.255280-4440023546 1995 9.101570+4 5.477940-4 9.540210+4 4.489250-4 1.000000+5 3.679000-4440023546 1996 1.051990+5 2.981390-4 1.099690+5 2.480400-4 1.143200+5 2.111600-4440023546 1997 1.182690+5 1.834170-4 1.255090+5 1.433470-4 1.312290+5 1.191520-4440023546 1998 1.356890+5 1.037260-4 1.426650+5 8.424880-5 1.500000+5 6.842900-5440023546 1999 1.554920+5 5.921890-5 1.604630+5 5.218290-5 1.695460+5 4.182130-5440023546 2000 1.766950+5 3.542410-5 1.879870+5 2.761540-5 2.000000+5 2.152800-5440023546 2001 2.103980+5 1.772870-5 2.199390+5 1.495860-5 2.286410+5 1.289230-5440023546 2002 2.365370+5 1.131980-5 2.510180+5 9.015220-6 2.624580+5 7.600300-6440023546 2003 2.713780+5 6.686840-6 2.853300+5 5.518320-6 3.000000+5 4.554000-6440023546 2004 3.109840+5 3.999580-6 3.311840+5 3.186780-6 3.471900+5 2.687540-6440023546 2005 3.597000+5 2.365150-6 3.793150+5 1.952590-6 4.000000+5 1.612000-6440023546 2006 4.229490+5 1.333720-6 4.410200+5 1.157020-6 4.695850+5 9.348740-7440023546 2007 5.000000+5 7.553800-7 5.233180+5 6.517160-7 5.603490+5 5.222730-7440023546 2008 6.000000+5 4.185400-7 6.447420+5 3.367660-7 6.804750+5 2.861030-7440023546 2009 7.378210+5 2.240340-7 8.000000+5 1.754300-7 8.458970+5 1.504010-7440023546 2010 9.197270+5 1.193900-7 1.000000+6 9.477400-8 1.022000+6 9.002940-8440023546 2011 1.102170+6 7.684240-8 1.188630+6 6.558690-8 1.250000+6 5.977550-8440023546 2012 1.369310+6 5.107950-8 1.500000+6 4.364850-8 1.611850+6 3.857890-8440023546 2013 1.795470+6 3.205680-8 2.000000+6 2.663730-8 2.044000+6 2.572050-8440023546 2014 2.249780+6 2.217870-8 2.417610+6 1.984620-8 2.693110+6 1.679920-8440023546 2015 3.000000+6 1.422010-8 3.464100+6 1.160030-8 4.000000+6 9.463110-9440023546 2016 4.472140+6 8.151070-9 5.000000+6 7.020940-9 5.477230+6 6.246030-9440023546 2017 6.000000+6 5.556650-9 7.000000+6 4.583850-9 8.000000+6 3.896280-9440023546 2018 9.000000+6 3.384410-9 1.000000+7 2.989690-9 1.100000+7 2.676460-9440023546 2019 1.200000+7 2.421550-9 1.300000+7 2.210690-9 1.400000+7 2.033190-9440023546 2020 1.500000+7 1.881930-9 1.600000+7 1.751290-9 1.800000+7 1.537630-9440023546 2021 2.000000+7 1.370060-9 2.200000+7 1.235350-9 2.400000+7 1.124570-9440023546 2022 2.600000+7 1.032130-9 2.800000+7 9.53696-10 3.000000+7 8.86212-10440023546 2023 3.464100+7 7.61579-10 4.000000+7 6.54473-10 4.472140+7 5.82667-10440023546 2024 5.000000+7 5.18740-10 6.000000+7 4.29354-10 6.928200+7 3.70433-10440023546 2025 8.000000+7 3.19597-10 8.944271+7 2.85157-10 1.000000+8 2.54429-10440023546 2026 440023 0 2027 4.400000+4 1.002020+2 0 0 0 0440023547 2028 8.790000+0 0.000000+0 0 0 1 247440023547 2029 247 2 0 0 0 0440023547 2030 1.000000+1 6.773770+6 1.500000+1 1.115230+7 2.000000+1 1.524520+7440023547 2031 2.449490+1 1.829030+7 2.710810+1 1.910550+7 3.000000+1 1.888840+7440023547 2032 3.311840+1 1.745860+7 3.542840+1 1.588070+7 3.841410+1 1.354550+7440023547 2033 4.000000+1 1.227430+7 4.200100+1 1.061570+7 4.410200+1 9.181200+6440023547 2034 4.598630+1 7.879060+6 4.795120+1 6.761600+6 4.977590+1 5.780440+6440023547 2035 5.167000+1 4.941660+6 5.343970+1 4.224660+6 5.527000+1 3.611690+6440023547 2036 5.758650+1 2.916070+6 6.000000+1 2.354430+6 6.235740+1 1.877840+6440023547 2037 6.480740+1 1.497730+6 6.735370+1 1.161880+6 7.000000+1 9.013480+5440023547 2038 7.177470+1 7.482790+5 7.313530+1 6.507910+5 7.522450+1 5.278480+5440023547 2039 7.737350+1 4.281300+5 7.999460+1 3.289500+5 8.201860+1 2.699570+5440023547 2040 8.357010+1 2.327660+5 8.595260+1 1.863610+5 8.840300+1 1.492080+5440023547 2041 9.000000+1 1.322400+5 9.240210+1 1.138020+5 9.612600+1 9.644629+4440023547 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1.088460+4-5.648850-1 1.158490+4-6.984030-1 1.264160+4-8.904560-1440027506 2440 1.377040+4-1.116240+0 1.464630+4-1.285880+0 1.624180+4-1.644480+0440027506 2441 1.743150+4-1.963800+0 1.837450+4-2.273810+0 1.908180+4-2.561170+0440027506 2442 2.015190+4-3.170110+0 2.067310+4-3.614840+0 2.124160+4-4.387140+0440027506 2443 2.145190+4-4.853510+0 2.158520+4-5.277130+0 2.164460+4-5.521650+0440027506 2444 2.170300+4-5.806170+0 2.174340+4-6.029530+0 2.178440+4-6.277380+0440027506 2445 2.181190+4-6.451080+0 2.183710+4-6.615420+0 2.186740+4-6.811940+0440027506 2446 2.190600+4-7.051990+0 2.194840+4-7.287990+0 2.199610+4-7.493840+0440027506 2447 2.209290+4-7.625800+0 2.218980+4-7.368470+0 2.227950+4-6.842750+0440027506 2448 2.236550+4-6.240890+0 2.247430+4-5.547760+0 2.257800+4-5.000160+0440027506 2449 2.277250+4-4.295560+0 2.311280+4-3.511960+0 2.336810+4-3.085800+0440027506 2450 2.375090+4-2.589980+0 2.413380+4-2.218310+0 2.503950+4-1.560480+0440027506 2451 2.549240+4-1.304740+0 2.594530+4-1.105390+0 2.699130+4-7.231320-1440027506 2452 2.751430+4-5.607710-1 2.803730+4-4.381960-1 2.940440+4-1.541750-1440027506 2453 3.008800+4-2.780390-2 3.042980+4 2.492380-2 3.127350+4 1.210340-1440027506 2454 3.209480+4 2.162450-1 3.284030+4 2.959000-1 3.308720+4 3.185680-1440027506 2455 3.325260+4 3.310280-1 3.359750+4 3.473080-1 3.495920+4 4.416520-1440027506 2456 3.557930+4 4.741160-1 3.579260+4 4.785450-1 3.611550+4 4.838650-1440027506 2457 3.779080+4 5.600980-1 3.868160+4 5.938360-1 3.926680+4 6.064390-1440027506 2458 3.956710+4 6.052870-1 4.267060+4 6.483080-1 4.417150+4 6.590030-1440027506 2459 4.901110+4 6.615710-1 5.166350+4 6.493560-1 5.648840+4 6.273650-1440027506 2460 6.073490+4 6.016460-1 6.457930+4 5.753650-1 7.004880+4 5.373250-1440027506 2461 7.424960+4 5.053800-1 7.830050+4 4.792070-1 8.637790+4 4.306960-1440027506 2462 9.167729+4 3.998300-1 9.826190+4 3.668490-1 1.055470+5 3.354620-1440027506 2463 1.143200+5 3.021430-1 1.224290+5 2.743750-1 1.318360+5 2.464950-1440027506 2464 1.423040+5 2.204440-1 1.515820+5 2.001370-1 1.619640+5 1.806420-1440027506 2465 1.737650+5 1.616450-1 1.891320+5 1.408150-1 2.006730+5 1.273160-1440027506 2466 2.151150+5 1.130540-1 2.326710+5 9.851870-2 2.488670+5 8.729320-2440027506 2467 2.668810+5 7.673890-2 2.853300+5 6.754240-2 3.045700+5 5.933550-2440027506 2468 3.441320+5 4.646990-2 3.793150+5 3.813580-2 4.049960+5 3.303260-2440027506 2469 4.366530+5 2.782540-2 4.641580+5 2.400530-2 4.912600+5 2.080500-2440027506 2470 5.530550+5 1.527420-2 6.062740+5 1.168020-2 6.623670+5 8.683050-3440027506 2471 7.088130+5 6.724570-3 7.688860+5 4.696900-3 8.226280+5 3.243460-3440027506 2472 8.820400+5 2.003750-3 9.197270+5 1.243300-3 9.807250+5 2.933050-4440027506 2473 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0440027506 2474 440027 0 2475 4400 0 0 2476 0 0 0 2477 4.500000+4 1.020220+2 -1 0 2 24500 1451 1 0.000000+0 0.000000+0 0 0 0 64500 1451 2 0.000000+0 0.000000+0 0 0 3 24500 1451 3 0.000000+0 0.000000+0 0 0 139 274500 1451 4 45-RH LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4500 1451 6 ----JEF-2 MATERIAL 4500 REVISION 0 4500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4500 1451 8 ------ENDF-6 FORMAT 4500 1451 9 ******************************************************************4500 1451 10 * JEF-2 *4500 1451 11 * DATA TAKEN FROM EPDL *4500 1451 12 ******************************************************************4500 1451 13 =================================================================4500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4500 1451 15 ENDF/B-VI FORMAT 4500 1451 16 =================================================================4500 1451 17 CONTENTS 4500 1451 18 =================================================================4500 1451 19 MF/MT DESCRIPTION 4500 1451 20 =================================================================4500 1451 21 23/501 TOTAL CROSS SECTION 4500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 43 =================================================================4500 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4500 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4500 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4500 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4500 1451 48 =================================================================4500 1451 49 WARNING 4500 1451 50 =================================================================4500 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4500 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4500 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4500 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4500 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4500 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4500 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4500 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4500 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4500 1451 60 =================================================================4500 1451 61 DEFINITION OF NEW TYPES OF DATA 4500 1451 62 =================================================================4500 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4500 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4500 1451 65 4500 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4500 1451 67 C2 FIELDS ARE, 4500 1451 68 4500 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4500 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4500 1451 71 4500 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4500 1451 73 4500 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4500 1451 75 4500 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4500 1451 77 T = THE THOMSON CROSS SECTION 4500 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4500 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4500 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4500 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4500 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4500 1451 83 4500 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4500 1451 85 4500 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4500 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4500 1451 88 =================================================================4500 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4500 1451 90 =================================================================4500 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4500 1451 92 HERE - 10 EV TO 100 MEV 4500 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4500 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4500 1451 95 HERE - PHOTON INTERACTION 4500 1451 96 - AVERAGE FLUORESCENCE YIELD 4500 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4500 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4500 1451 99 HERE - NO SECONDARY ENERGY DATA 4500 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4500 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4500 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4500 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4500 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4500 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4500 1451 106 (SINCE THEY CAN BE NEGATIVE). 4500 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4500 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4500 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4500 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4500 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4500 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4500 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4500 1451 114 =================================================================4500 1451 115 REFERENCES 4500 1451 116 =================================================================4500 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4500 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4500 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4500 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4500 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4500 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4500 1451 123 4500 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4500 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4500 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4500 1451 127 OF THE DATA, ETC. 4500 1451 128 =================================================================4500 1451 129 HISTORY 4500 1451 130 =================================================================4500 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4500 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4500 1451 133 CROSS SECTIONS. 4500 1451 134 =================================================================4500 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4500 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4500 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4500 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4500 1451 139 *RECONSTRUCTED MT NUMBERS 4500 1451 140 516 =+(515,515)+(517,517) 4500 1451 141 522 =+(534,572) 4500 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4500 1451 143 1 451 170 14500 1451 144 23 501 472 14500 1451 145 23 502 119 14500 1451 146 23 504 30 14500 1451 147 23 515 30 14500 1451 148 23 516 58 14500 1451 149 23 517 41 14500 1451 150 23 522 317 24500 1451 151 23 534 39 24500 1451 152 23 535 45 24500 1451 153 23 536 52 24500 1451 154 23 537 53 24500 1451 155 23 538 52 24500 1451 156 23 539 57 24500 1451 157 23 540 59 24500 1451 158 23 541 77 24500 1451 159 23 542 76 24500 1451 160 23 543 56 24500 1451 161 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3.909220+4 1.000000+3 3.301400+4450023545 1901 1.078990+3 2.871020+4 1.209320+3 2.328320+4 1.355400+3 1.888210+4450023545 1902 1.493850+3 1.550180+4 1.606900+3 1.337000+4 1.792710+3 1.070910+4450023545 1903 2.000000+3 8.577800+3 2.185770+3 7.222150+3 2.388790+3 6.080750+3450023545 1904 2.513470+3 5.385740+3 2.712800+3 4.489300+3 2.927940+3 3.742060+3450023545 1905 3.025000+3 3.411500+3 3.243840+3 2.882850+3 3.418290+3 2.540850+3450023545 1906 3.697730+3 2.102390+3 4.000000+3 1.739600+3 4.207960+3 1.526220+3450023545 1907 4.598240+3 1.213840+3 4.914520+3 1.022280+3 5.165930+3 8.987210+2450023545 1908 5.567370+3 7.408130+2 6.000000+3 6.106500+2 6.447420+3 5.011820+2450023545 1909 6.804750+3 4.321630+2 7.378210+3 3.460400+2 8.000000+3 2.770800+2450023545 1910 8.458970+3 2.361470+2 9.197270+3 1.858020+2 1.000000+4 1.461900+2450023545 1911 1.051990+4 1.255610+2 1.099690+4 1.099130+2 1.188440+4 8.707480+1450023545 1912 1.259670+4 7.311790+1 1.315870+4 6.413900+1 1.404920+4 5.269510+1450023545 1913 1.500000+4 4.329300+1 1.585320+4 3.633280+1 1.663940+4 3.116710+1450023545 1914 1.735920+4 2.725320+1 1.869480+4 2.154920+1 1.976340+4 1.806930+1450023545 1915 2.060480+4 1.583340+1 2.193450+4 1.298740+1 2.335000+4 1.065300+1450023545 1916 2.497520+4 8.512960+0 2.648970+4 6.996220+0 2.789010+4 5.892480+0450023545 1917 2.917600+4 5.070530+0 3.034980+4 4.445950+0 3.251860+4 3.532310+0450023545 1918 3.424630+4 2.972550+0 3.560210+4 2.611750+0 3.773700+4 2.150980+0450023545 1919 4.000000+4 1.771500+0 4.177100+4 1.524600+0 4.350240+4 1.324480+0450023545 1920 4.519070+4 1.160800+0 4.853490+4 9.064330-1 5.166350+4 7.300340-1450023545 1921 5.456600+4 6.040870-1 5.723910+4 5.118420-1 5.968530+4 4.427600-1450023545 1922 6.191140+4 3.900060-1 6.600860+4 3.123580-1 6.925840+4 2.644460-1450023545 1923 7.180040+4 2.334000-1 7.578940+4 1.935300-1 8.000000+4 1.604700-1450023545 1924 8.320560+4 1.398620-1 8.632740+4 1.229530-1 9.250000+4 9.656230-2450023545 1925 9.826190+4 7.816170-2 1.035970+5 6.496160-2 1.085030+5 5.525380-2450023545 1926 1.129850+5 4.795720-2 1.212800+5 3.742960-2 1.278980+5 3.108030-2450023545 1927 1.330980+5 2.703580-2 1.412970+5 2.193400-2 1.500000+5 1.779500-2450023545 1928 1.611850+5 1.390990-2 1.701190+5 1.156360-2 1.771420+5 1.006740-2450023545 1929 1.882240+5 8.178190-3 2.000000+5 6.643500-3 2.103980+5 5.624680-3450023545 1930 2.199390+5 4.862240-3 2.286410+5 4.280380-3 2.447070+5 3.424620-3450023545 1931 2.574930+5 2.897080-3 2.675180+5 2.555480-3 2.832940+5 2.117090-3450023545 1932 3.000000+5 1.753900-3 3.223710+5 1.406010-3 3.402370+5 1.191180-3450023545 1933 3.542840+5 1.051890-3 3.764490+5 8.728820-4 4.000000+5 7.243400-4450023545 1934 4.229490+5 6.170120-4 4.598630+5 4.850870-4 5.000000+5 3.813700-4450023545 1935 5.233180+5 3.373220-4 5.603490+5 2.806020-4 6.000000+5 2.334200-4450023545 1936 6.447420+5 1.953120-4 6.804750+5 1.708730-4 7.378210+5 1.398260-4450023545 1937 8.000000+5 1.144200-4 8.458970+5 1.009620-4 9.197270+5 8.368410-5450023545 1938 1.000000+6 6.936300-5 1.022000+6 6.630870-5 1.102170+6 5.700460-5450023545 1939 1.188630+6 4.900600-5 1.250000+6 4.452890-5 1.369310+6 3.771380-5450023545 1940 1.500000+6 3.194180-5 1.611850+6 2.823250-5 1.795470+6 2.346030-5450023545 1941 2.000000+6 1.949480-5 2.044000+6 1.880510-5 2.249780+6 1.621420-5450023545 1942 2.417610+6 1.450810-5 2.693110+6 1.227950-5 3.000000+6 1.039330-5450023545 1943 3.464100+6 8.476460-6 4.000000+6 6.913150-6 4.472140+6 5.953370-6450023545 1944 5.000000+6 5.126840-6 5.477230+6 4.559750-6 6.000000+6 4.055380-6450023545 1945 7.000000+6 3.345560-6 8.000000+6 2.842640-6 9.000000+6 2.469220-6450023545 1946 1.000000+7 2.179910-6 1.100000+7 1.951160-6 1.200000+7 1.766130-6450023545 1947 1.300000+7 1.611890-6 1.400000+7 1.482380-6 1.500000+7 1.371870-6450023545 1948 1.600000+7 1.276660-6 1.800000+7 1.120740-6 2.000000+7 9.986230-7450023545 1949 2.200000+7 9.003920-7 2.400000+7 8.196540-7 2.600000+7 7.522050-7450023545 1950 2.800000+7 6.948480-7 3.000000+7 6.457320-7 3.464100+7 5.549060-7450023545 1951 4.000000+7 4.768560-7 4.472140+7 4.244400-7 5.000000+7 3.777850-7450023545 1952 6.000000+7 3.128580-7 6.928200+7 2.698720-7 8.000000+7 2.327930-7450023545 1953 8.944271+7 2.077270-7 1.000000+8 1.853600-7 0.000000+0 0.000000+0450023545 1954 450023 0 1955 4.500000+4 1.020220+2 0 0 0 0450023546 1956 1.024000+1 0.000000+0 0 0 1 245450023546 1957 245 2 0 0 0 0450023546 1958 1.024000+1 0.000000+0 1.024000+1 3.686620+6 1.500000+1 5.802550+6450023546 1959 1.916830+1 8.040110+6 2.449490+1 1.114050+7 2.851740+1 1.284240+7450023546 1960 3.000000+1 1.320220+7 3.311840+1 1.340560+7 3.542840+1 1.306140+7450023546 1961 3.841410+1 1.206770+7 4.000000+1 1.134270+7 4.229490+1 1.014210+7450023546 1962 4.598630+1 8.125640+6 4.795120+1 7.066270+6 5.000000+1 6.145010+6450023546 1963 5.285830+1 4.904390+6 5.588000+1 3.914240+6 5.791300+1 3.305920+6450023546 1964 6.002000+1 2.792140+6 6.207390+1 2.353650+6 6.419810+1 1.984020+6450023546 1965 6.560190+1 1.738670+6 6.776530+1 1.426330+6 7.000000+1 1.170110+6450023546 1966 7.177470+1 9.858080+5 7.452160+1 7.623260+5 7.737350+1 5.895070+5450023546 1967 8.000000+1 4.595960+5 8.245700+1 3.605020+5 8.434910+1 3.004740+5450023546 1968 8.579660+1 2.621080+5 8.801460+1 2.135460+5 9.029000+1 1.739810+5450023546 1969 9.321860+1 1.362580+5 9.624211+1 1.067140+5 1.000000+2 8.474990+4450023546 1970 1.037920+2 7.286230+4 1.073980+2 6.738130+4 1.119780+2 6.552330+4450023546 1971 1.180170+2 6.895800+4 1.233220+2 7.611210+4 1.360080+2 1.047690+5450023546 1972 1.500000+2 1.442160+5 1.604630+2 1.660470+5 1.735950+2 1.806020+5450023546 1973 2.000000+2 1.843180+5 2.449490+2 1.729730+5 2.851740+2 1.555130+5450023546 1974 3.294900+2 1.325980+5 3.630370+2 1.154920+5 4.000000+2 1.005930+5450023546 1975 4.292660+2 8.874579+4 4.772290+2 7.353910+4 5.305500+2 6.093800+4450023546 1976 5.686160+2 5.269980+4 6.308970+2 4.238280+4 7.000000+2 3.408560+4450023546 1977 7.453910+2 2.943160+4 8.190560+2 2.361450+4 9.000000+2 1.894710+4450023546 1978 9.486830+2 1.663440+4 1.000000+3 1.460400+4 1.078990+3 1.197810+4450023546 1979 1.142300+3 1.032340+4 1.244300+3 8.259951+3 1.355400+3 6.608940+3450023546 1980 1.422940+3 5.744980+3 1.484800+3 5.082190+3 1.599590+3 4.100950+3450023546 1981 1.691470+3 3.491490+3 1.839280+3 2.742830+3 2.000000+3 2.154700+3450023546 1982 2.103980+3 1.879970+3 2.270170+3 1.532140+3 2.449490+3 1.248660+3450023546 1983 2.576840+3 1.062880+3 2.710810+3 9.047330+2 2.863600+3 7.294890+2450023546 1984 3.025000+3 5.881900+2 3.243840+3 4.656400+2 3.418290+3 3.907960+2450023546 1985 3.555260+3 3.426690+2 3.771080+3 2.813600+2 4.000000+3 2.310200+2450023546 1986 4.207960+3 1.931180+2 4.398770+3 1.650920+2 4.572820+3 1.439260+2450023546 1987 4.894130+3 1.132050+2 5.149850+3 9.454950+1 5.350370+3 8.260470+1450023546 1988 5.665880+3 6.745640+1 6.000000+3 5.508600+1 6.219690+3 4.820910+1450023546 1989 6.623670+3 3.817540+1 6.943790+3 3.204600+1 7.193991+3 2.810400+1450023546 1990 7.586300+3 2.308110+1 8.000000+3 1.895600+1 8.458970+3 1.530950+1450023546 1991 8.820401+3 1.304280+1 9.391701+3 1.025610+1 1.000000+4 8.064900+0450023546 1992 1.051990+4 6.599240+0 1.099690+4 5.537020+0 1.143200+4 4.748830+0450023546 1993 1.182690+4 4.151760+0 1.255090+4 3.281810+0 1.312290+4 2.751210+0450023546 1994 1.356890+4 2.410360+0 1.426650+4 1.976600+0 1.500000+4 1.620900+0450023546 1995 1.585320+4 1.291550+0 1.663940+4 1.058760+0 1.735920+4 8.897600-1450023546 1996 1.801460+4 7.641680-1 1.860840+4 6.689060-1 1.969490+4 5.298750-1450023546 1997 2.055120+4 4.449180-1 2.121770+4 3.902650-1 2.225830+4 3.206120-1450023546 1998 2.335000+4 2.633900-1 2.448810+4 2.153900-1 2.560530+4 1.783670-1450023546 1999 2.669900+4 1.494590-1 2.776680+4 1.266280-1 2.880650+4 1.084020-1450023546 2000 2.981660+4 9.370450-2 3.079570+4 8.174100-2 3.174280+4 7.191630-2450023546 2001 3.359780+4 5.656570-2 3.530960+4 4.584730-2 3.687890+4 3.814860-2450023546 2002 3.830910+4 3.248050-2 3.960590+4 2.821630-2 4.198200+4 2.205630-2450023546 2003 4.385710+4 1.833620-2 4.531810+4 1.596390-2 4.760150+4 1.296840-2450023546 2004 5.000000+4 1.053500-2 5.221370+4 8.767020-3 5.437800+4 7.379990-3450023546 2005 5.648840+4 6.279630-3 5.854120+4 5.397530-3 6.053340+4 4.683440-3450023546 2006 6.246270+4 4.100030-3 6.624730+4 3.194870-3 6.974640+4 2.568380-3450023546 2007 7.295950+4 2.121860-3 7.589210+4 1.795320-3 7.855470+4 1.551090-3450023546 2008 8.096090+4 1.364810-3 8.535060+4 1.091020-3 8.879840+4 9.223630-4450023546 2009 9.423290+4 7.169800-4 1.000000+5 5.573300-4 1.051990+5 4.519090-4450023546 2010 1.099690+5 3.761590-4 1.143200+5 3.203700-4 1.182690+5 2.783860-4450023546 2011 1.255090+5 2.177160-4 1.312290+5 1.810600-4 1.356890+5 1.576780-4450023546 2012 1.426650+5 1.281430-4 1.500000+5 1.041400-4 1.554920+5 9.015410-5450023546 2013 1.655920+5 7.004540-5 1.735950+5 5.796620-5 1.798500+5 5.029470-5450023546 2014 1.896570+5 4.064820-5 2.000000+5 3.285200-5 2.103980+5 2.706450-5450023546 2015 2.199390+5 2.284320-5 2.286410+5 1.969340-5 2.365370+5 1.729570-5450023546 2016 2.510180+5 1.378070-5 2.624580+5 1.162170-5 2.713780+5 1.022750-5450023546 2017 2.853300+5 8.443370-6 3.000000+5 6.970500-6 3.109840+5 6.123850-6450023546 2018 3.311840+5 4.882080-6 3.471900+5 4.118990-6 3.597000+5 3.626020-6450023546 2019 3.793150+5 2.994940-6 4.000000+5 2.473700-6 4.229490+5 2.045660-6450023546 2020 4.410200+5 1.773980-6 4.695850+5 1.432590-6 5.000000+5 1.156900-6450023546 2021 5.233180+5 9.990110-7 5.603490+5 8.016440-7 6.000000+5 6.432700-7450023546 2022 6.447420+5 5.176250-7 6.804750+5 4.397760-7 7.378210+5 3.443950-7450023546 2023 8.000000+5 2.697000-7 8.458970+5 2.312520-7 9.197270+5 1.836080-7450023546 2024 1.000000+6 1.457800-7 1.022000+6 1.384790-7 1.102170+6 1.181630-7450023546 2025 1.188630+6 1.008280-7 1.250000+6 9.187660-8 1.369310+6 7.853570-8450023546 2026 1.500000+6 6.713200-8 1.611850+6 5.933610-8 1.795470+6 4.930640-8450023546 2027 2.000000+6 4.097210-8 2.044000+6 3.952270-8 2.249780+6 3.407730-8450023546 2028 2.417610+6 3.049160-8 2.693110+6 2.580780-8 3.000000+6 2.184350-8450023546 2029 3.464100+6 1.781500-8 4.000000+6 1.452940-8 4.472140+6 1.251220-8450023546 2030 5.000000+6 1.077510-8 5.477230+6 9.583220-9 6.000000+6 8.523180-9450023546 2031 7.000000+6 7.031360-9 8.000000+6 5.974360-9 9.000000+6 5.189560-9450023546 2032 1.000000+7 4.581520-9 1.100000+7 4.100740-9 1.200000+7 3.711880-9450023546 2033 1.300000+7 3.387710-9 1.400000+7 3.115500-9 1.500000+7 2.883250-9450023546 2034 1.600000+7 2.683160-9 1.800000+7 2.355450-9 2.000000+7 2.098800-9450023546 2035 2.200000+7 1.892350-9 2.400000+7 1.722670-9 2.600000+7 1.580910-9450023546 2036 2.800000+7 1.460360-9 3.000000+7 1.357130-9 3.464100+7 1.166250-9450023546 2037 4.000000+7 1.002210-9 4.472140+7 8.92045-10 5.000000+7 7.93989-10450023546 2038 6.000000+7 6.57533-10 6.928200+7 5.67191-10 8.000000+7 4.89261-10450023546 2039 8.944271+7 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6.164471+3-3.055090-1 6.219690+3-2.820850-1 6.588560+3-1.567000-1450027506 2452 6.640980+3-1.430800-1 6.866120+3-1.061240-1 7.111790+3-7.950620-2450027506 2453 7.325790+3-6.549930-2 7.387540+3-6.696530-2 7.700460+3-7.013570-2450027506 2454 7.862110+3-7.657160-2 8.119710+3-9.124920-2 8.157380+3-9.308300-2450027506 2455 8.410451+3-1.254640-1 8.674470+3-1.483860-1 8.939420+3-1.661140-1450027506 2456 9.027590+3-1.739020-1 9.226281+3-1.987040-1 9.590241+3-2.348790-1450027506 2457 9.806571+3-2.640030-1 1.000700+4-3.001020-1 1.025670+4-3.435670-1450027506 2458 1.090780+4-4.484180-1 1.133230+4-5.327430-1 1.228630+4-7.001180-1450027506 2459 1.315870+4-8.607640-1 1.422400+4-1.062270+0 1.542070+4-1.282330+0450027506 2460 1.713190+4-1.652130+0 1.830270+4-1.949660+0 1.940890+4-2.305110+0450027506 2461 2.011840+4-2.593670+0 2.119120+4-3.186380+0 2.170640+4-3.606410+0450027506 2462 2.230330+4-4.379410+0 2.252410+4-4.845690+0 2.266410+4-5.269130+0450027506 2463 2.272650+4-5.513520+0 2.278780+4-5.797790+0 2.283020+4-6.020820+0450027506 2464 2.287320+4-6.268310+0 2.290210+4-6.441780+0 2.292860+4-6.605920+0450027506 2465 2.296040+4-6.802240+0 2.300100+4-7.042140+0 2.304550+4-7.278270+0450027506 2466 2.309550+4-7.485550+0 2.319000+4-7.619900+0 2.328450+4-7.412550+0450027506 2467 2.337210+4-6.958390+0 2.345600+4-6.406880+0 2.356220+4-5.736200+0450027506 2468 2.366330+4-5.178740+0 2.380360+4-4.614130+0 2.409300+4-3.867590+0450027506 2469 2.429670+4-3.473320+0 2.469930+4-2.881010+0 2.530330+4-2.240250+0450027506 2470 2.590730+4-1.785420+0 2.648970+4-1.456470+0 2.699020+4-1.227470+0450027506 2471 2.828120+4-7.367010-1 2.896120+4-5.282870-1 2.929090+4-4.437630-1450027506 2472 3.093230+4-1.286590-1 3.174280+4 6.254600-3 3.191090+4 3.431500-2450027506 2473 3.265710+4 1.201780-1 3.359780+4 2.301880-1 3.418940+4 2.925270-1450027506 2474 3.451480+4 3.202680-1 3.467750+4 3.313080-1 3.499330+4 3.428170-1450027506 2475 3.653250+4 4.431850-1 3.707680+4 4.698060-1 3.764240+4 4.812420-1450027506 2476 3.987320+4 5.744820-1 4.041740+4 5.851620-1 4.107990+4 5.893910-1450027506 2477 4.306170+4 6.279500-1 4.486890+4 6.361710-1 4.683290+4 6.549540-1450027506 2478 5.188680+4 6.506670-1 5.648840+4 6.358280-1 6.335440+4 6.072520-1450027506 2479 6.820750+4 5.748660-1 7.334190+4 5.379320-1 7.771600+4 5.065210-1450027506 2480 8.320560+4 4.707920-1 8.938779+4 4.343210-1 9.714500+4 3.948720-1450027506 2481 1.055470+5 3.566320-1 1.143200+5 3.216150-1 1.223530+5 2.927500-1450027506 2482 1.312290+5 2.647900-1 1.412970+5 2.380200-1 1.511540+5 2.149110-1450027506 2483 1.623520+5 1.927220-1 1.740490+5 1.727680-1 1.891280+5 1.509830-1450027506 2484 2.006730+5 1.365460-1 2.151150+5 1.211190-1 2.348210+5 1.044240-1450027506 2485 2.528320+5 9.155040-2 2.693610+5 8.149840-2 2.926860+5 6.996910-2450027506 2486 3.311200+5 5.473120-2 3.515040+5 4.824110-2 3.779810+5 4.137940-2450027506 2487 4.041600+5 3.584720-2 4.410200+5 2.953560-2 4.657060+5 2.592310-2450027506 2488 5.057130+5 2.108580-2 5.507460+5 1.680350-2 5.882690+5 1.389080-2450027506 2489 6.366850+5 1.086800-2 6.865110+5 8.309530-3 7.507910+5 5.738270-3450027506 2490 8.137740+5 3.775580-3 8.820400+5 2.116090-3 9.076530+5 1.634320-3450027506 2491 9.806780+5 2.975680-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0450027506 2492 450027 0 2493 4500 0 0 2494 0 0 0 2495 4.600000+4 1.054860+2 -1 0 2 24600 1451 1 0.000000+0 0.000000+0 0 0 0 64600 1451 2 0.000000+0 0.000000+0 0 0 3 24600 1451 3 0.000000+0 0.000000+0 0 0 138 264600 1451 4 46-PD LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4600 1451 6 ----JEF-2 MATERIAL 4600 REVISION 0 4600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4600 1451 8 ------ENDF-6 FORMAT 4600 1451 9 ******************************************************************4600 1451 10 * JEF-2 *4600 1451 11 * DATA TAKEN FROM EPDL *4600 1451 12 ******************************************************************4600 1451 13 =================================================================4600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4600 1451 15 ENDF/B-VI FORMAT 4600 1451 16 =================================================================4600 1451 17 CONTENTS 4600 1451 18 =================================================================4600 1451 19 MF/MT DESCRIPTION 4600 1451 20 =================================================================4600 1451 21 23/501 TOTAL CROSS SECTION 4600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 42 =================================================================4600 1451 43 27/502 COHERENT SCATTERING FORM FACTORS 4600 1451 44 27/504 INCOHERENT SCATTERING FUNCTIONS 4600 1451 45 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4600 1451 46 27/506 COHERENT REAL SCATTERING FACTOR 4600 1451 47 =================================================================4600 1451 48 WARNING 4600 1451 49 =================================================================4600 1451 50 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4600 1451 51 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4600 1451 52 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4600 1451 53 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4600 1451 54 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4600 1451 55 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4600 1451 56 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4600 1451 57 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4600 1451 58 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4600 1451 59 =================================================================4600 1451 60 DEFINITION OF NEW TYPES OF DATA 4600 1451 61 =================================================================4600 1451 62 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4600 1451 63 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4600 1451 64 4600 1451 65 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4600 1451 66 C2 FIELDS ARE, 4600 1451 67 4600 1451 68 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4600 1451 69 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4600 1451 70 4600 1451 71 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4600 1451 72 4600 1451 73 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4600 1451 74 4600 1451 75 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4600 1451 76 T = THE THOMSON CROSS SECTION 4600 1451 77 MU = THE COSINE OF THE SCATTERING ANGLE 4600 1451 78 FF(M) = THE ATOMIC FORM FACTOR 4600 1451 79 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4600 1451 80 F1(E) = THE REAL SCATTERING FACTOR 4600 1451 81 F2(E) = THE IMAGINARY SCATTERING FACTOR 4600 1451 82 4600 1451 83 F1(E) AND F2(E) ARE ISOTROPIC. 4600 1451 84 4600 1451 85 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4600 1451 86 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4600 1451 87 =================================================================4600 1451 88 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4600 1451 89 =================================================================4600 1451 90 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4600 1451 91 HERE - 10 EV TO 100 MEV 4600 1451 92 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4600 1451 93 - FLUORESCENCE AND ELECTRON SPECTRA 4600 1451 94 HERE - PHOTON INTERACTION 4600 1451 95 - AVERAGE FLUORESCENCE YIELD 4600 1451 96 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4600 1451 97 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4600 1451 98 HERE - NO SECONDARY ENERGY DATA 4600 1451 99 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4600 1451 100 INTERPOLABLE - SUMMATION CROSS SECTIONS 4600 1451 101 (E.G., TOTAL) ARE NOT INCLUDED 4600 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 4600 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4600 1451 104 - SCATTERING FACTORS LINEARLY INTERPOLABLE4600 1451 105 (SINCE THEY CAN BE NEGATIVE). 4600 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4600 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 4600 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 4600 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 4600 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 4600 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4600 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE4600 1451 113 =================================================================4600 1451 114 REFERENCES 4600 1451 115 =================================================================4600 1451 116 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4600 1451 117 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4600 1451 118 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4600 1451 119 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4600 1451 120 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4600 1451 121 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4600 1451 122 4600 1451 123 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4600 1451 124 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4600 1451 125 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4600 1451 126 OF THE DATA, ETC. 4600 1451 127 =================================================================4600 1451 128 HISTORY 4600 1451 129 =================================================================4600 1451 130 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4600 1451 131 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4600 1451 132 CROSS SECTIONS. 4600 1451 133 =================================================================4600 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4600 1451 135 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4600 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4600 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4600 1451 138 *RECONSTRUCTED MT NUMBERS 4600 1451 139 516 =+(515,515)+(517,517) 4600 1451 140 522 =+(534,572) 4600 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4600 1451 142 1 451 168 14600 1451 143 23 501 451 14600 1451 144 23 502 117 14600 1451 145 23 504 31 14600 1451 146 23 515 30 14600 1451 147 23 516 58 14600 1451 148 23 517 41 14600 1451 149 23 522 300 24600 1451 150 23 534 39 24600 1451 151 23 535 45 24600 1451 152 23 536 52 24600 1451 153 23 537 53 24600 1451 154 23 538 52 24600 1451 155 23 539 57 24600 1451 156 23 540 58 24600 1451 157 23 541 76 24600 1451 158 23 542 77 24600 1451 159 23 543 57 24600 1451 160 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1.468450+5460023546 1927 1.037920+2 1.174990+5 1.073980+2 1.019830+5 1.119780+2 9.214340+4460023546 1928 1.161460+2 8.914179+4 1.199190+2 8.975129+4 1.268210+2 9.674400+4460023546 1929 1.379240+2 1.188940+5 1.500000+2 1.495660+5 1.611860+2 1.740060+5460023546 1930 1.771420+2 1.977530+5 2.000000+2 2.134650+5 2.213360+2 2.162730+5460023546 1931 2.576840+2 2.062300+5 3.000000+2 1.841360+5 3.552000+2 1.523670+5460023546 1932 4.000000+2 1.289590+5 4.282920+2 1.148420+5 4.745250+2 9.651029+4460023546 1933 5.257500+2 8.110479+4 5.581920+2 7.190090+4 6.106460+2 6.001580+4460023546 1934 6.680300+2 5.009530+4 7.197100+2 4.228220+4 7.610770+2 3.723300+4460023546 1935 8.276290+2 3.076700+4 9.000000+2 2.542380+4 9.486830+2 2.235350+4460023546 1936 1.000000+3 1.965400+4 1.078990+3 1.614370+4 1.142300+3 1.392890+4460023546 1937 1.244300+3 1.116320+4 1.355400+3 8.946670+3 1.422940+3 7.796090+3460023546 1938 1.549350+3 6.127080+3 1.651460+3 5.114300+3 1.732440+3 4.466180+3460023546 1939 1.861420+3 3.644690+3 2.000000+3 2.974300+3 2.157980+3 2.357380+3460023546 1940 2.284600+3 1.980220+3 2.384420+3 1.737510+3 2.542380+3 1.428060+3460023546 1941 2.710810+3 1.173720+3 2.911060+3 9.297110+2 3.070890+3 7.806130+2460023546 1942 3.196500+3 6.847010+2 3.394610+3 5.624710+2 3.605000+3 4.620600+2460023546 1943 3.755460+3 4.016650+2 4.034040+3 3.143440+2 4.256450+3 2.615530+2460023546 1944 4.431270+3 2.278650+2 4.707050+3 1.852900+2 5.000000+3 1.506700+2460023546 1945 5.233180+3 1.281030+2 5.603491+3 1.004290+2 6.000000+3 7.873300+1460023546 1946 6.219690+3 6.897650+1 6.623670+3 5.472100+1 6.943790+3 4.599850+1460023546 1947 7.193991+3 4.038180+1 7.586300+3 3.321610+1 8.000000+3 2.732200+1460023546 1948 8.458970+3 2.209960+1 8.820401+3 1.884900+1 9.391701+3 1.484720+1460023546 1949 1.000000+4 1.169500+1 1.051990+4 9.581190+0 1.099690+4 8.047500+0460023546 1950 1.143200+4 6.908320+0 1.182690+4 6.044630+0 1.255090+4 4.784820+0460023546 1951 1.312290+4 4.015480+0 1.356890+4 3.520800+0 1.426650+4 2.890660+0460023546 1952 1.500000+4 2.373300+0 1.594790+4 1.847260+0 1.682630+4 1.483570+0460023546 1953 1.763450+4 1.224580+0 1.837350+4 1.035340+0 1.904550+4 8.939080-1460023546 1954 1.965360+4 7.860960-1 2.076480+4 6.277630-1 2.163930+4 5.303180-1460023546 1955 2.302060+4 4.117620-1 2.449000+4 3.197100-1 2.560720+4 2.649080-1460023546 1956 2.670090+4 2.220950-1 2.776860+4 1.882640-1 2.880830+4 1.612430-1460023546 1957 2.981830+4 1.394440-1 3.079730+4 1.216920-1 3.174440+4 1.071080-1460023546 1958 3.359930+4 8.430750-2 3.531100+4 6.837650-2 3.688010+4 5.692680-2460023546 1959 3.831020+4 4.849270-2 3.960690+4 4.214440-2 4.198280+4 3.296880-2460023546 1960 4.385770+4 2.742360-2 4.531860+4 2.388580-2 4.760180+4 1.941620-2460023546 1961 5.000000+4 1.578300-2 5.221370+4 1.314230-2 5.437800+4 1.106940-2460023546 1962 5.648840+4 9.424020-3 5.854120+4 8.104300-3 6.053340+4 7.035420-3460023546 1963 6.246270+4 6.161750-3 6.624730+4 4.805400-3 6.974640+4 3.865920-3460023546 1964 7.295950+4 3.195840-3 7.589210+4 2.705520-3 7.855470+4 2.338610-3460023546 1965 8.096090+4 2.058620-3 8.535060+4 1.646870-3 8.879840+4 1.393070-3460023546 1966 9.423290+4 1.083780-3 1.000000+5 8.431600-4 1.051990+5 6.840470-4460023546 1967 1.099690+5 5.696590-4 1.143200+5 4.853750-4 1.182690+5 4.219220-4460023546 1968 1.255090+5 3.301820-4 1.312290+5 2.747220-4 1.356890+5 2.393310-4460023546 1969 1.426650+5 1.946070-4 1.500000+5 1.582400-4 1.554920+5 1.370360-4460023546 1970 1.655920+5 1.065360-4 1.735950+5 8.820430-5 1.798500+5 7.655720-5460023546 1971 1.896570+5 6.190560-5 2.000000+5 5.005800-5 2.103980+5 4.125420-5460023546 1972 2.199390+5 3.483080-5 2.286410+5 3.003630-5 2.365370+5 2.638580-5460023546 1973 2.510180+5 2.103220-5 2.624580+5 1.774280-5 2.713780+5 1.561800-5460023546 1974 2.853300+5 1.289820-5 3.000000+5 1.065200-5 3.109840+5 9.359950-6460023546 1975 3.311840+5 7.464440-6 3.471900+5 6.299270-6 3.597000+5 5.546380-6460023546 1976 3.793150+5 4.582360-6 4.000000+5 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7.956310-9460023546 1989 1.000000+7 7.026350-9 1.100000+7 6.288290-9 1.200000+7 5.688000-9460023546 1990 1.300000+7 5.195950-9 1.400000+7 4.776240-9 1.500000+7 4.420010-9460023546 1991 1.600000+7 4.112970-9 1.800000+7 3.610110-9 2.000000+7 3.216470-9460023546 1992 2.200000+7 2.900090-9 2.400000+7 2.639800-9 2.600000+7 2.422320-9460023546 1993 2.800000+7 2.237800-9 3.000000+7 2.079370-9 3.464100+7 1.786670-9460023546 1994 4.000000+7 1.535170-9 4.472140+7 1.366480-9 5.000000+7 1.216330-9460023546 1995 6.000000+7 1.007210-9 6.928200+7 8.68782-10 8.000000+7 7.49379-10460023546 1996 8.944271+7 6.68502-10 1.000000+8 5.96354-10 0.000000+0 0.000000+0460023546 1997 460023 0 1998 4.600000+4 1.054860+2 0 0 0 0460023547 1999 7.670000+0 0.000000+0 0 0 1 240460023547 2000 240 2 0 0 0 0460023547 2001 1.000000+1 9.828970+6 1.500000+1 1.324540+7 2.016490+1 1.588940+7460023547 2002 2.710810+1 1.906110+7 3.000000+1 2.002420+7 3.464100+1 2.070700+7460023547 2003 3.858710+1 1.994690+7 4.229490+1 1.807610+7 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3.000000+2 2.723530+5 3.552000+2 2.240190+5 4.000000+2 1.890140+5460023547 2017 4.282920+2 1.680070+5 4.745250+2 1.407910+5 5.257500+2 1.179840+5460023547 2018 5.647540+2 1.018210+5 6.287510+2 8.163229+4 7.000000+2 6.544640+4460023547 2019 7.453910+2 5.657570+4 8.190560+2 4.547220+4 9.000000+2 3.654790+4460023547 2020 9.486830+2 3.210490+4 1.000000+3 2.820200+4 1.078990+3 2.313190+4460023547 2021 1.142300+3 1.993700+4 1.244300+3 1.595260+4 1.355400+3 1.276450+4460023547 2022 1.422940+3 1.111210+4 1.549350+3 8.718260+3 1.651460+3 7.267850+3460023547 2023 1.732440+3 6.340710+3 1.861420+3 5.166970+3 2.000000+3 4.210500+3460023547 2024 2.157980+3 3.332440+3 2.284600+3 2.796300+3 2.384420+3 2.451610+3460023547 2025 2.542380+3 2.012570+3 2.710810+3 1.652150+3 2.905390+3 1.312860+3460023547 2026 3.060430+3 1.104950+3 3.182120+3 9.709290+2 3.373790+3 7.997500+2460023547 2027 3.577000+3 6.587500+2 3.729930+3 5.701610+2 3.869090+3 5.024750+2460023547 2028 4.125240+3 4.027810+2 4.328420+3 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1451 4 47-AG LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4700 1451 6 ----JEF-2 MATERIAL 4700 REVISION 0 4700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4700 1451 8 ------ENDF-6 FORMAT 4700 1451 9 ******************************************************************4700 1451 10 * JEF-2 *4700 1451 11 * DATA TAKEN FROM EPDL *4700 1451 12 ******************************************************************4700 1451 13 =================================================================4700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4700 1451 15 ENDF/B-VI FORMAT 4700 1451 16 =================================================================4700 1451 17 CONTENTS 4700 1451 18 =================================================================4700 1451 19 MF/MT DESCRIPTION 4700 1451 20 =================================================================4700 1451 21 23/501 TOTAL CROSS SECTION 4700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 43 =================================================================4700 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4700 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4700 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4700 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4700 1451 48 =================================================================4700 1451 49 WARNING 4700 1451 50 =================================================================4700 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4700 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4700 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4700 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4700 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4700 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4700 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4700 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4700 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4700 1451 60 =================================================================4700 1451 61 DEFINITION OF NEW TYPES OF DATA 4700 1451 62 =================================================================4700 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4700 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4700 1451 65 4700 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4700 1451 67 C2 FIELDS ARE, 4700 1451 68 4700 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4700 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4700 1451 71 4700 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4700 1451 73 4700 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4700 1451 75 4700 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4700 1451 77 T = THE THOMSON CROSS SECTION 4700 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4700 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4700 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4700 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4700 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4700 1451 83 4700 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4700 1451 85 4700 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4700 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4700 1451 88 =================================================================4700 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4700 1451 90 =================================================================4700 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4700 1451 92 HERE - 10 EV TO 100 MEV 4700 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4700 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4700 1451 95 HERE - PHOTON INTERACTION 4700 1451 96 - AVERAGE FLUORESCENCE YIELD 4700 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4700 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4700 1451 99 HERE - NO SECONDARY ENERGY DATA 4700 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4700 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4700 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4700 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4700 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4700 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4700 1451 106 (SINCE THEY CAN BE NEGATIVE). 4700 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4700 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4700 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4700 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4700 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4700 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4700 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4700 1451 114 =================================================================4700 1451 115 REFERENCES 4700 1451 116 =================================================================4700 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4700 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4700 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4700 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4700 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4700 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4700 1451 123 4700 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4700 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4700 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4700 1451 127 OF THE DATA, ETC. 4700 1451 128 =================================================================4700 1451 129 HISTORY 4700 1451 130 =================================================================4700 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4700 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4700 1451 133 CROSS SECTIONS. 4700 1451 134 =================================================================4700 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4700 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4700 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4700 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4700 1451 139 *RECONSTRUCTED MT NUMBERS 4700 1451 140 516 =+(515,515)+(517,517) 4700 1451 141 522 =+(534,572) 4700 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4700 1451 143 1 451 170 14700 1451 144 23 501 456 14700 1451 145 23 502 124 14700 1451 146 23 504 30 14700 1451 147 23 515 30 14700 1451 148 23 516 58 14700 1451 149 23 517 41 14700 1451 150 23 522 298 24700 1451 151 23 534 38 24700 1451 152 23 535 45 24700 1451 153 23 536 52 24700 1451 154 23 537 52 24700 1451 155 23 538 52 24700 1451 156 23 539 56 24700 1451 157 23 540 58 24700 1451 158 23 541 76 24700 1451 159 23 542 75 24700 1451 160 23 543 56 24700 1451 161 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3.815200+1470023545 1876 1.771420+4 3.365540+1 1.882240+4 2.788440+1 2.000000+4 2.310300+1470023545 1877 2.103980+4 1.962020+1 2.199390+4 1.700630+1 2.286410+4 1.500650+1470023545 1878 2.447070+4 1.205590+1 2.574930+4 1.023030+1 2.779350+4 7.996910+0470023545 1879 3.000000+4 6.251100+0 3.197810+4 5.042530+0 3.381560+4 4.178330+0470023545 1880 3.550980+4 3.544570+0 3.706180+4 3.069410+0 3.847530+4 2.706190+0470023545 1881 4.107990+4 2.170910+0 4.314830+4 1.840150+0 4.644800+4 1.436060+0470023545 1882 5.000000+4 1.120700+0 5.221370+4 9.645200-1 5.437800+4 8.379280-1470023545 1883 5.648840+4 7.343800-1 6.066860+4 5.734700-1 6.457930+4 4.618770-1470023545 1884 6.820750+4 3.822000-1 7.154890+4 3.238420-1 7.460660+4 2.801380-1470023545 1885 7.738920+4 2.467630-1 8.251070+4 1.976370-1 8.657300+4 1.673250-1470023545 1886 8.975050+4 1.476830-1 9.473679+4 1.224570-1 1.000000+5 1.015400-1470023545 1887 1.051990+5 8.516190-2 1.099690+5 7.301330-2 1.143200+5 6.381380-2470023545 1888 1.223530+5 5.041520-2 1.287460+5 4.224700-2 1.337590+5 3.700180-2470023545 1889 1.416470+5 3.032930-2 1.500000+5 2.486000-2 1.611850+5 1.945900-2470023545 1890 1.701190+5 1.619330-2 1.771420+5 1.410900-2 1.882240+5 1.147460-2470023545 1891 2.000000+5 9.332100-3 2.103980+5 7.906690-3 2.199390+5 6.839240-3470023545 1892 2.286410+5 6.024130-3 2.447070+5 4.824430-3 2.574930+5 4.084230-3470023545 1893 2.675180+5 3.604610-3 2.832940+5 2.988680-3 3.000000+5 2.478000-3470023545 1894 3.223710+5 1.987800-3 3.402370+5 1.684910-3 3.542840+5 1.488440-3470023545 1895 3.764490+5 1.235830-3 4.000000+5 1.026100-3 4.229490+5 8.744560-4470023545 1896 4.598630+5 6.879550-4 5.000000+5 5.412300-4 5.233180+5 4.787640-4470023545 1897 5.603490+5 3.983180-4 6.000000+5 3.313900-4 6.447420+5 2.773240-4470023545 1898 6.804750+5 2.426470-4 7.378210+5 1.985880-4 8.000000+5 1.625300-4470023545 1899 8.458970+5 1.433780-4 9.197270+5 1.187970-4 1.000000+6 9.843000-5470023545 1900 1.022000+6 9.408920-5 1.102170+6 8.087510-5 1.188630+6 6.951690-5470023545 1901 1.250000+6 6.316380-5 1.369310+6 5.349220-5 1.500000+6 4.530150-5470023545 1902 1.611850+6 4.003160-5 1.795470+6 3.325370-5 2.000000+6 2.762330-5470023545 1903 2.044000+6 2.664450-5 2.249780+6 2.296580-5 2.417610+6 2.054410-5470023545 1904 2.693110+6 1.738180-5 3.000000+6 1.470630-5 3.464100+6 1.198730-5470023545 1905 4.000000+6 9.770950-6 4.472140+6 8.411720-6 5.000000+6 7.241580-6470023545 1906 5.477230+6 6.438430-6 6.000000+6 5.724350-6 7.000000+6 4.720050-6470023545 1907 8.000000+6 4.009400-6 9.000000+6 3.480810-6 1.000000+7 3.073610-6470023545 1908 1.100000+7 2.750590-6 1.200000+7 2.488250-6 1.300000+7 2.270950-6470023545 1909 1.400000+7 2.086920-6 1.500000+7 1.932070-6 1.600000+7 1.797570-6470023545 1910 1.800000+7 1.577920-6 2.000000+7 1.405640-6 2.200000+7 1.267230-6470023545 1911 2.400000+7 1.153480-6 2.600000+7 1.058340-6 2.800000+7 9.776820-7470023545 1912 3.000000+7 9.083790-7 3.464100+7 7.804380-7 4.000000+7 6.705170-7470023545 1913 4.472140+7 5.968760-7 5.000000+7 5.313230-7 6.000000+7 4.398980-7470023545 1914 6.928200+7 3.794630-7 8.000000+7 3.273300-7 8.944271+7 2.920500-7470023545 1915 1.000000+8 2.605720-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0470023545 1916 470023 0 1917 4.700000+4 1.069410+2 0 0 0 0470023546 1918 1.247000+1 0.000000+0 0 0 1 240470023546 1919 240 2 0 0 0 0470023546 1920 1.247000+1 0.000000+0 1.247000+1 3.794030+6 1.500000+1 4.261930+6470023546 1921 1.732050+1 5.018130+6 2.279510+1 7.585110+6 3.000000+1 1.146520+7470023546 1922 3.464100+1 1.372280+7 3.858710+1 1.473490+7 4.229490+1 1.456660+7470023546 1923 4.598630+1 1.343710+7 5.000000+1 1.152520+7 5.415170+1 9.275780+6470023546 1924 5.798350+1 7.315080+6 6.044450+1 6.152300+6 6.301000+1 5.174350+6470023546 1925 6.468920+1 4.538960+6 6.729220+1 3.729130+6 7.000000+1 3.063790+6470023546 1926 7.177470+1 2.640520+6 7.452160+1 2.112680+6 7.737350+1 1.690360+6470023546 1927 8.000000+1 1.357820+6 8.178640+1 1.157840+6 8.454110+1 9.117100+5470023546 1928 8.738850+1 7.179020+5 9.000000+1 5.698580+5 9.160160+1 4.923710+5470023546 1929 9.447330+1 3.812520+5 9.668600+1 3.147040+5 9.837950+1 2.725340+5470023546 1930 1.009760+2 2.196330+5 1.036400+2 1.770000+5 1.072180+2 1.412240+5470023546 1931 1.106090+2 1.214810+5 1.149020+2 1.078500+5 1.187950+2 1.022860+5470023546 1932 1.223100+2 1.009760+5 1.287120+2 1.048990+5 1.337320+2 1.121270+5470023546 1933 1.500000+2 1.489080+5 1.611860+2 1.746590+5 1.795470+2 2.079690+5470023546 1934 2.000000+2 2.306650+5 2.213360+2 2.400280+5 2.528320+2 2.357320+5470023546 1935 3.000000+2 2.110160+5 3.357680+2 1.865920+5 3.758000+2 1.649950+5470023546 1936 4.000000+2 1.515090+5 4.472140+2 1.268520+5 5.000000+2 1.062080+5470023546 1937 5.532630+2 8.785470+4 6.122000+2 7.267290+4 6.545490+2 6.300580+4470023546 1938 7.236290+2 5.086190+4 8.000000+2 4.105860+4 8.458970+2 3.599890+4470023546 1939 9.197270+2 2.955400+4 1.000000+3 2.426300+4 1.078990+3 1.997900+4470023546 1940 1.142300+3 1.727020+4 1.244300+3 1.387970+4 1.355400+3 1.115490+4470023546 1941 1.425870+3 9.730911+3 1.500000+3 8.488701+3 1.611850+3 6.925590+3470023546 1942 1.701190+3 5.945230+3 1.844550+3 4.728640+3 2.000000+3 3.761000+3470023546 1943 2.103980+3 3.220170+3 2.199390+3 2.811140+3 2.376880+3 2.216360+3470023546 1944 2.519330+3 1.854420+3 2.631750+3 1.622310+3 2.809850+3 1.327460+3470023546 1945 3.000000+3 1.086200+3 3.223710+3 8.578670+2 3.402370+3 7.187080+2470023546 1946 3.542840+3 6.293640+2 3.764490+3 5.157340+2 4.000000+3 4.226200+2470023546 1947 4.229490+3 3.491290+2 4.410200+3 3.025250+2 4.695850+3 2.440210+2470023546 1948 5.000000+3 1.968300+2 5.233180+3 1.674820+2 5.603491+3 1.314560+2470023546 1949 6.000000+3 1.031800+2 6.219690+3 9.048790+1 6.623670+3 7.191700+1470023546 1950 6.943790+3 6.053580+1 7.193991+3 5.319840+1 7.586300+3 4.382550+1470023546 1951 8.000000+3 3.610400+1 8.458970+3 2.924820+1 8.820401+3 2.497510+1470023546 1952 9.391701+3 1.970690+1 1.000000+4 1.555000+1 1.051990+4 1.275490+1470023546 1953 1.099690+4 1.072460+1 1.143200+4 9.215080+0 1.182690+4 8.069580+0470023546 1954 1.255090+4 6.396860+0 1.312290+4 5.374070+0 1.356890+4 4.715810+0470023546 1955 1.426650+4 3.876460+0 1.500000+4 3.186500+0 1.554920+4 2.756120+0470023546 1956 1.604630+4 2.427510+0 1.695460+4 1.943870+0 1.766950+4 1.645500+0470023546 1957 1.879870+4 1.281580+0 2.000000+4 9.981400-1 2.103980+4 8.094040-1470023546 1958 2.199390+4 6.737790-1 2.286410+4 5.738860-1 2.365370+4 4.987060-1470023546 1959 2.510180+4 3.900580-1 2.624580+4 3.244080-1 2.713780+4 2.825300-1470023546 1960 2.853300+4 2.296270-1 3.000000+4 1.866300-1 3.132820+4 1.554640-1470023546 1961 3.262680+4 1.309890-1 3.389300+4 1.115560-1 3.512470+4 9.596410-2470023546 1962 3.632000+4 8.333180-2 3.747760+4 7.300360-2 3.974840+4 5.696320-2470023546 1963 4.184790+4 4.584720-2 4.377570+4 3.791550-2 4.553520+4 3.210940-2470023546 1964 4.713280+4 2.776330-2 4.857650+4 2.444590-2 5.121040+4 1.956550-2470023546 1965 5.327900+4 1.655590-2 5.653970+4 1.288690-2 6.000000+4 1.003100-2470023546 1966 6.194650+4 8.770450-3 6.576800+4 6.818160-3 6.930470+4 5.469930-3470023546 1967 7.255500+4 4.510840-3 7.552379+4 3.810650-3 7.822100+4 3.287740-3470023546 1968 8.066000+4 2.889400-3 8.511250+4 2.304900-3 8.861250+4 1.945520-3470023546 1969 9.133170+4 1.713260-3 9.556760+4 1.415810-3 1.000000+5 1.170000-3470023546 1970 1.051990+5 9.496940-4 1.099690+5 7.912380-4 1.143200+5 6.744340-4470023546 1971 1.182690+5 5.864670-4 1.255090+5 4.592240-4 1.312290+5 3.822620-4470023546 1972 1.356890+5 3.331290-4 1.426650+5 2.710140-4 1.500000+5 2.204800-4470023546 1973 1.554920+5 1.910230-4 1.655920+5 1.486240-4 1.735950+5 1.231230-4470023546 1974 1.798500+5 1.069130-4 1.896570+5 8.650960-5 2.000000+5 7.000000-5470023546 1975 2.103980+5 5.771340-5 2.199390+5 4.874530-5 2.286410+5 4.204910-5470023546 1976 2.365370+5 3.694900-5 2.510180+5 2.946680-5 2.624580+5 2.486740-5470023546 1977 2.713780+5 2.189550-5 2.853300+5 1.809010-5 3.000000+5 1.494600-5470023546 1978 3.109840+5 1.313650-5 3.311840+5 1.048100-5 3.471900+5 8.848020-6470023546 1979 3.597000+5 7.792520-6 3.793150+5 6.440580-6 4.000000+5 5.323200-6470023546 1980 4.229490+5 4.404900-6 4.410200+5 3.821720-6 4.695850+5 3.088470-6470023546 1981 5.000000+5 2.495900-6 5.233180+5 2.156510-6 5.603490+5 1.731970-6470023546 1982 6.000000+5 1.391000-6 6.447420+5 1.120260-6 6.804750+5 9.523880-7470023546 1983 7.378210+5 7.465440-7 8.000000+5 5.851900-7 8.458970+5 5.019440-7470023546 1984 9.197270+5 3.987430-7 1.000000+6 3.167600-7 1.022000+6 3.007610-7470023546 1985 1.102170+6 2.566950-7 1.188630+6 2.190850-7 1.250000+6 1.997020-7470023546 1986 1.369310+6 1.706280-7 1.500000+6 1.457860-7 1.611850+6 1.288270-7470023546 1987 1.795470+6 1.070150-7 2.000000+6 8.889530-8 2.044000+6 8.574520-8470023546 1988 2.249780+6 7.390680-8 2.417610+6 6.611350-8 2.693110+6 5.593690-8470023546 1989 3.000000+6 4.732680-8 3.464100+6 3.857650-8 4.000000+6 3.144410-8470023546 1990 4.472140+6 2.707000-8 5.000000+6 2.330430-8 5.477230+6 2.071970-8470023546 1991 6.000000+6 1.842170-8 7.000000+6 1.518970-8 8.000000+6 1.290270-8470023546 1992 9.000000+6 1.120170-8 1.000000+7 9.891260-9 1.100000+7 8.851730-9470023546 1993 1.200000+7 8.007510-9 1.300000+7 7.308190-9 1.400000+7 6.715980-9470023546 1994 1.500000+7 6.217630-9 1.600000+7 5.784810-9 1.800000+7 5.077930-9470023546 1995 2.000000+7 4.523520-9 2.200000+7 4.078100-9 2.400000+7 3.712060-9470023546 1996 2.600000+7 3.405870-9 2.800000+7 3.146300-9 3.000000+7 2.923280-9470023546 1997 3.464100+7 2.511550-9 4.000000+7 2.157810-9 4.472140+7 1.920820-9470023546 1998 5.000000+7 1.709860-9 6.000000+7 1.415650-9 6.928200+7 1.221160-9470023546 1999 8.000000+7 1.053390-9 8.944271+7 9.39852-10 1.000000+8 8.38552-10470023546 2000 470023 0 2001 4.700000+4 1.069410+2 0 0 0 0470023547 2002 1.186000+1 0.000000+0 0 0 1 238470023547 2003 238 2 0 0 0 0470023547 2004 1.186000+1 0.000000+0 1.186000+1 5.836220+6 1.272000+1 6.025900+6470023547 2005 1.500000+1 7.010210+6 2.000000+1 1.022120+7 2.449490+1 1.360680+7470023547 2006 3.000000+1 1.811370+7 3.464100+1 2.118420+7 3.858710+1 2.228530+7470023547 2007 4.229490+1 2.161770+7 4.598630+1 1.959910+7 5.000000+1 1.654720+7470023547 2008 5.415170+1 1.314940+7 5.798350+1 1.026690+7 6.110760+1 8.154070+6470023547 2009 6.440000+1 6.476040+6 6.714160+1 5.209410+6 7.000000+1 4.190520+6470023547 2010 7.177470+1 3.597080+6 7.452160+1 2.860710+6 7.737350+1 2.275080+6470023547 2011 8.000000+1 1.817370+6 8.178640+1 1.543310+6 8.454110+1 1.207730+6470023547 2012 8.738850+1 9.451120+5 8.927160+1 7.925570+5 9.095260+1 6.794140+5470023547 2013 9.244940+1 5.937460+5 9.512840+1 4.689920+5 9.718840+1 3.929520+5470023547 2014 1.003620+2 3.013710+5 1.036400+2 2.311330+5 1.072180+2 1.867990+5470023547 2015 1.106090+2 1.630770+5 1.149020+2 1.478540+5 1.187950+2 1.430860+5470023547 2016 1.223100+2 1.438750+5 1.287120+2 1.543520+5 1.389490+2 1.879700+5470023547 2017 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2.560020+4-7.352700+0 2.570030+4-6.861410+0 2.579630+4-6.283420+0470027506 2440 2.591770+4-5.600920+0 2.603340+4-5.049330+0 2.626870+4-4.292740+0470027506 2441 2.668810+4-3.464570+0 2.698910+4-3.037220+0 2.746790+4-2.517760+0470027506 2442 2.791540+4-2.152070+0 2.852030+4-1.758940+0 2.942760+4-1.279630+0470027506 2443 2.988130+4-1.087760+0 3.127690+4-6.648330-1 3.174780+4-5.438390-1470027506 2444 3.346100+4-2.145240-1 3.408210+4-1.098840-1 3.465240+4-4.239510-2470027506 2445 3.512470+4 1.417350-2 3.649620+4 1.796570-1 3.739270+4 2.728580-1470027506 2446 3.784090+4 3.104310-1 3.817710+4 3.307040-1 3.849030+4 3.388870-1470027506 2447 3.985380+4 4.210840-1 4.070340+4 4.700000-1 4.118790+4 4.907070-1470027506 2448 4.142770+4 4.965890-1 4.159830+4 4.961060-1 4.210140+4 5.093240-1470027506 2449 4.379380+4 5.644240-1 4.410110+4 5.708400-1 4.484220+4 5.747420-1470027506 2450 4.731160+4 6.220070-1 4.888290+4 6.291870-1 5.121040+4 6.548550-1470027506 2451 5.582270+4 6.528230-1 6.142640+4 6.514020-1 6.506560+4 6.277320-1470027506 2452 7.004880+4 6.004480-1 7.460660+4 5.693850-1 8.251070+4 5.223510-1470027506 2453 8.814750+4 4.864080-1 9.297290+4 4.601860-1 1.003160+5 4.224460-1470027506 2454 1.103740+5 3.776000-1 1.188760+5 3.422820-1 1.263260+5 3.148250-1470027506 2455 1.376470+5 2.802410-1 1.462870+5 2.556790-1 1.557640+5 2.331740-1470027506 2456 1.718320+5 2.013980-1 1.826110+5 1.824630-1 1.940270+5 1.652580-1470027506 2457 2.069860+5 1.482680-1 2.211170+5 1.323700-1 2.408790+5 1.146330-1470027506 2458 2.631750+5 9.831460-2 2.809850+5 8.709240-2 3.024100+5 7.581970-2470027506 2459 3.236630+5 6.629520-2 3.435550+5 5.859390-2 3.764490+5 4.845240-2470027506 2460 4.068870+5 4.103660-2 4.410200+5 3.430520-2 4.657060+5 3.011080-2470027506 2461 5.101890+5 2.400580-2 5.507460+5 1.953420-2 5.923540+5 1.585780-2470027506 2462 6.407770+5 1.238580-2 6.900470+5 9.476110-3 7.507910+5 6.660260-3470027506 2463 8.137740+5 4.384720-3 8.820400+5 2.458390-3 9.101570+5 1.840430-3470027506 2464 9.806770+5 3.465290-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0470027506 2465 470027 0 2466 4700 0 0 2467 0 0 0 2468 4.800000+4 1.114350+2 -1 0 2 24800 1451 1 0.000000+0 0.000000+0 0 0 0 64800 1451 2 0.000000+0 0.000000+0 0 0 3 24800 1451 3 0.000000+0 0.000000+0 0 0 139 274800 1451 4 48-CD LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4800 1451 6 ----JEF-2 MATERIAL 4800 REVISION 0 4800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4800 1451 8 ------ENDF-6 FORMAT 4800 1451 9 ******************************************************************4800 1451 10 * JEF-2 *4800 1451 11 * DATA TAKEN FROM EPDL *4800 1451 12 ******************************************************************4800 1451 13 =================================================================4800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4800 1451 15 ENDF/B-VI FORMAT 4800 1451 16 =================================================================4800 1451 17 CONTENTS 4800 1451 18 =================================================================4800 1451 19 MF/MT DESCRIPTION 4800 1451 20 =================================================================4800 1451 21 23/501 TOTAL CROSS SECTION 4800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 43 =================================================================4800 1451 44 27/502 COHERENT SCATTERING FORM FACTORS 4800 1451 45 27/504 INCOHERENT SCATTERING FUNCTIONS 4800 1451 46 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4800 1451 47 27/506 COHERENT REAL SCATTERING FACTOR 4800 1451 48 =================================================================4800 1451 49 WARNING 4800 1451 50 =================================================================4800 1451 51 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4800 1451 52 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4800 1451 53 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4800 1451 54 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4800 1451 55 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4800 1451 56 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4800 1451 57 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4800 1451 58 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4800 1451 59 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4800 1451 60 =================================================================4800 1451 61 DEFINITION OF NEW TYPES OF DATA 4800 1451 62 =================================================================4800 1451 63 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4800 1451 64 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4800 1451 65 4800 1451 66 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4800 1451 67 C2 FIELDS ARE, 4800 1451 68 4800 1451 69 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4800 1451 70 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4800 1451 71 4800 1451 72 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4800 1451 73 4800 1451 74 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4800 1451 75 4800 1451 76 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4800 1451 77 T = THE THOMSON CROSS SECTION 4800 1451 78 MU = THE COSINE OF THE SCATTERING ANGLE 4800 1451 79 FF(M) = THE ATOMIC FORM FACTOR 4800 1451 80 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4800 1451 81 F1(E) = THE REAL SCATTERING FACTOR 4800 1451 82 F2(E) = THE IMAGINARY SCATTERING FACTOR 4800 1451 83 4800 1451 84 F1(E) AND F2(E) ARE ISOTROPIC. 4800 1451 85 4800 1451 86 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4800 1451 87 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4800 1451 88 =================================================================4800 1451 89 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4800 1451 90 =================================================================4800 1451 91 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4800 1451 92 HERE - 10 EV TO 100 MEV 4800 1451 93 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4800 1451 94 - FLUORESCENCE AND ELECTRON SPECTRA 4800 1451 95 HERE - PHOTON INTERACTION 4800 1451 96 - AVERAGE FLUORESCENCE YIELD 4800 1451 97 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4800 1451 98 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4800 1451 99 HERE - NO SECONDARY ENERGY DATA 4800 1451 100 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4800 1451 101 INTERPOLABLE - SUMMATION CROSS SECTIONS 4800 1451 102 (E.G., TOTAL) ARE NOT INCLUDED 4800 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 4800 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4800 1451 105 - SCATTERING FACTORS LINEARLY INTERPOLABLE4800 1451 106 (SINCE THEY CAN BE NEGATIVE). 4800 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4800 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 4800 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 4800 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 4800 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 4800 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4800 1451 113 - SCATTERING FACTORS LINEARLY INTERPOLABLE4800 1451 114 =================================================================4800 1451 115 REFERENCES 4800 1451 116 =================================================================4800 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4800 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4800 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4800 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4800 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4800 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4800 1451 123 4800 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4800 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4800 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4800 1451 127 OF THE DATA, ETC. 4800 1451 128 =================================================================4800 1451 129 HISTORY 4800 1451 130 =================================================================4800 1451 131 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4800 1451 132 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4800 1451 133 CROSS SECTIONS. 4800 1451 134 =================================================================4800 1451 135 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4800 1451 136 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4800 1451 137 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4800 1451 138 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4800 1451 139 *RECONSTRUCTED MT NUMBERS 4800 1451 140 516 =+(515,515)+(517,517) 4800 1451 141 522 =+(534,572) 4800 1451 142 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4800 1451 143 1 451 170 14800 1451 144 23 501 470 14800 1451 145 23 502 137 14800 1451 146 23 504 30 14800 1451 147 23 515 30 14800 1451 148 23 516 58 14800 1451 149 23 517 41 14800 1451 150 23 522 299 24800 1451 151 23 534 38 24800 1451 152 23 535 46 24800 1451 153 23 536 52 24800 1451 154 23 537 52 24800 1451 155 23 538 51 24800 1451 156 23 539 56 24800 1451 157 23 540 57 24800 1451 158 23 541 75 24800 1451 159 23 542 75 24800 1451 160 23 543 55 24800 1451 161 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1.394010+1480023545 1901 2.574930+4 1.184000+1 2.779350+4 9.267790+0 3.000000+4 7.254400+0480023545 1902 3.197810+4 5.857970+0 3.381560+4 4.858470+0 3.550980+4 4.124850+0480023545 1903 3.706180+4 3.574400+0 3.847530+4 3.153360+0 4.107990+4 2.532340+0480023545 1904 4.314830+4 2.148250+0 4.644800+4 1.678520+0 5.000000+4 1.311500+0480023545 1905 5.221370+4 1.129390+0 5.437800+4 9.817030-1 5.648840+4 8.608330-1480023545 1906 6.066860+4 6.728670-1 6.457930+4 5.423910-1 6.820750+4 4.491580-1480023545 1907 7.154890+4 3.808240-1 7.460660+4 3.296160-1 7.738920+4 2.904910-1480023545 1908 8.251070+4 2.328620-1 8.657300+4 1.972760-1 9.304460+4 1.538290-1480023545 1909 1.000000+5 1.199500-1 1.051990+5 1.006570-1 1.099690+5 8.633970-2480023545 1910 1.143200+5 7.549260-2 1.223530+5 5.968550-2 1.287460+5 5.004290-2480023545 1911 1.337590+5 4.384780-2 1.416470+5 3.596300-2 1.500000+5 2.949600-2480023545 1912 1.611850+5 2.310270-2 1.701190+5 1.923480-2 1.771420+5 1.676510-2480023545 1913 1.882240+5 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2.249780+6 2.745550-5480023545 1926 2.417610+6 2.455530-5 2.693110+6 2.076910-5 3.000000+6 1.756670-5480023545 1927 3.464100+6 1.431450-5 4.000000+6 1.166440-5 4.472140+6 1.003880-5480023545 1928 5.000000+6 8.639800-6 5.477230+6 7.680440-6 6.000000+6 6.827610-6480023545 1929 7.000000+6 5.628000-6 8.000000+6 4.779330-6 9.000000+6 4.149740-6480023545 1930 1.000000+7 3.664790-6 1.100000+7 3.277680-6 1.200000+7 2.965010-6480023545 1931 1.300000+7 2.705520-6 1.400000+7 2.488570-6 1.500000+7 2.301400-6480023545 1932 1.600000+7 2.141870-6 1.800000+7 1.879830-6 2.000000+7 1.674570-6480023545 1933 2.200000+7 1.509520-6 2.400000+7 1.373820-6 2.600000+7 1.260660-6480023545 1934 2.800000+7 1.164520-6 3.000000+7 1.082000-6 3.464100+7 9.296100-7480023545 1935 4.000000+7 7.986820-7 4.472140+7 7.109060-7 5.000000+7 6.327770-7480023545 1936 6.000000+7 5.238760-7 6.928200+7 4.518130-7 8.000000+7 3.896630-7480023545 1937 8.944271+7 3.476200-7 1.000000+8 3.101140-7 0.000000+0 0.000000+0480023545 1938 480023 0 1939 4.800000+4 1.114350+2 0 0 0 0480023546 1940 1.771000+1 0.000000+0 0 0 1 245480023546 1941 245 2 0 0 0 0480023546 1942 1.771000+1 0.000000+0 1.771000+1 3.150010+6 2.000000+1 3.184980+6480023546 1943 2.103980+1 3.325540+6 2.299120+1 3.810130+6 2.582970+1 4.958970+6480023546 1944 2.779630+1 6.028550+6 3.103050+1 8.080620+6 3.464100+1 1.083120+7480023546 1945 3.858710+1 1.343010+7 4.000000+1 1.414440+7 4.318900+1 1.514650+7480023546 1946 4.695850+1 1.513960+7 5.000000+1 1.426840+7 5.233180+1 1.320480+7480023546 1947 5.603490+1 1.116740+7 6.000000+1 8.934760+6 6.235740+1 7.648660+6480023546 1948 6.480740+1 6.547690+6 6.735370+1 5.436200+6 7.000000+1 4.513390+6480023546 1949 7.179210+1 3.930600+6 7.363000+1 3.423060+6 7.674890+1 2.653810+6480023546 1950 8.000000+1 2.057430+6 8.178640+1 1.762900+6 8.454110+1 1.398230+6480023546 1951 8.738850+1 1.109000+6 9.000000+1 8.882740+5 9.240210+1 7.169590+5480023546 1952 9.424570+1 6.105270+5 9.708020+1 4.797560+5 1.000000+2 3.769960+5480023546 1953 1.019460+2 3.207280+5 1.049370+2 2.516740+5 1.080160+2 1.974870+5480023546 1954 1.105430+2 1.668480+5 1.131300+2 1.409630+5 1.156300+2 1.236380+5480023546 1955 1.194530+2 1.078810+5 1.229020+2 1.011690+5 1.260020+2 9.915250+4480023546 1956 1.316150+2 1.022180+5 1.359880+2 1.090040+5 1.500000+2 1.452850+5480023546 1957 1.611860+2 1.756560+5 1.771420+2 2.109250+5 1.920700+2 2.343740+5480023546 1958 2.000000+2 2.433150+5 2.213360+2 2.572280+5 2.528320+2 2.576290+5480023546 1959 3.000000+2 2.354730+5 3.464100+2 2.063050+5 3.852610+2 1.802520+5480023546 1960 4.284700+2 1.574890+5 4.628550+2 1.394730+5 5.000000+2 1.235180+5480023546 1961 5.331730+2 1.096630+5 5.871040+2 9.173829+4 6.464900+2 7.674370+4480023546 1962 7.191610+2 6.128180+4 8.000000+2 4.893510+4 8.458970+2 4.300660+4480023546 1963 9.197270+2 3.543290+4 1.000000+3 2.919300+4 1.078990+3 2.410430+4480023546 1964 1.142300+3 2.087880+4 1.244300+3 1.683150+4 1.355400+3 1.356880+4480023546 1965 1.422940+3 1.186310+4 1.549350+3 9.377661+3 1.651460+3 7.861730+3480023546 1966 1.732440+3 6.887870+3 1.861420+3 5.648540+3 2.000000+3 4.632200+3480023546 1967 2.103980+3 3.973090+3 2.199390+3 3.473780+3 2.376880+3 2.746190+3480023546 1968 2.519330+3 2.302380+3 2.631750+3 2.017260+3 2.809850+3 1.654390+3480023546 1969 3.000000+3 1.356800+3 3.228130+3 1.069060+3 3.410550+3 8.940600+2480023546 1970 3.554090+3 7.818800+2 3.780810+3 6.394400+2 4.022000+3 5.229500+2480023546 1971 4.246920+3 4.346970+2 4.423830+3 3.784270+2 4.703100+3 3.073790+2480023546 1972 5.000000+3 2.496700+2 5.233180+3 2.128240+2 5.603491+3 1.674950+2480023546 1973 6.000000+3 1.318200+2 6.219690+3 1.157250+2 6.623670+3 9.214250+1480023546 1974 6.943790+3 7.766650+1 7.193991+3 6.832260+1 7.586300+3 5.637160+1480023546 1975 8.000000+3 4.651100+1 8.458970+3 3.771830+1 8.820401+3 3.223290+1480023546 1976 9.391701+3 2.546360+1 1.000000+4 2.011600+1 1.051990+4 1.652050+1480023546 1977 1.099690+4 1.390580+1 1.143200+4 1.195970+1 1.182690+4 1.048160+1480023546 1978 1.255090+4 8.320920+0 1.312290+4 6.998060+0 1.356890+4 6.145850+0480023546 1979 1.426650+4 5.058120+0 1.500000+4 4.162900+0 1.554920+4 3.603540+0480023546 1980 1.655920+4 2.799390+0 1.735950+4 2.316400+0 1.798500+4 2.009680+0480023546 1981 1.896570+4 1.624040+0 2.000000+4 1.312400+0 2.103980+4 1.065350+0480023546 1982 2.199390+4 8.876440-1 2.286410+4 7.566460-1 2.365370+4 6.579830-1480023546 1983 2.510180+4 5.152630-1 2.624580+4 4.289330-1 2.713780+4 3.738170-1480023546 1984 2.853300+4 3.041340-1 3.000000+4 2.474400-1 3.132820+4 2.062620-1480023546 1985 3.262680+4 1.739040-1 3.389300+4 1.481940-1 3.512470+4 1.275540-1480023546 1986 3.632000+4 1.108230-1 3.747760+4 9.713640-2 3.974840+4 7.586500-2480023546 1987 4.184790+4 6.111090-2 4.377570+4 5.057500-2 4.553520+4 4.285740-2480023546 1988 4.713280+4 3.707700-2 5.006450+4 2.877350-2 5.238240+4 2.379080-2480023546 1989 5.419100+4 2.062870-2 5.702160+4 1.665580-2 6.000000+4 1.344800-2480023546 1990 6.194650+4 1.176320-2 6.576800+4 9.152160-3 6.930470+4 7.347640-3480023546 1991 7.255500+4 6.063100-3 7.552379+4 5.124750-3 7.822100+4 4.423630-3480023546 1992 8.066000+4 3.889300-3 8.511250+4 3.104800-3 8.861250+4 2.622130-3480023546 1993 9.413420+4 2.035110-3 1.000000+5 1.579500-3 1.051990+5 1.282820-3480023546 1994 1.099690+5 1.069320-3 1.143200+5 9.118700-4 1.182690+5 7.932380-4480023546 1995 1.255090+5 6.215530-4 1.312290+5 5.176470-4 1.356890+5 4.512840-4480023546 1996 1.426650+5 3.673460-4 1.500000+5 2.990200-4 1.554920+5 2.591590-4480023546 1997 1.655920+5 2.017580-4 1.735950+5 1.672170-4 1.798500+5 1.452500-4480023546 1998 1.896570+5 1.175910-4 2.000000+5 9.519800-5 2.103980+5 7.851840-5480023546 1999 2.199390+5 6.633940-5 2.286410+5 5.724290-5 2.365370+5 5.031280-5480023546 2000 2.510180+5 4.014230-5 2.624580+5 3.388800-5 2.713780+5 2.984540-5480023546 2001 2.853300+5 2.466760-5 3.000000+5 2.038800-5 3.109840+5 1.792500-5480023546 2002 3.311840+5 1.430880-5 3.471900+5 1.208410-5 3.597000+5 1.064560-5480023546 2003 3.793150+5 8.802500-6 4.000000+5 7.278500-6 4.229490+5 6.024580-6480023546 2004 4.410200+5 5.228060-6 4.695850+5 4.226310-6 5.000000+5 3.416500-6480023546 2005 5.233180+5 2.952880-6 5.603490+5 2.372690-6 6.000000+5 1.906500-6480023546 2006 6.447420+5 1.535740-6 6.804750+5 1.305810-6 7.378210+5 1.023820-6480023546 2007 8.000000+5 8.027200-7 8.458970+5 6.885460-7 9.197270+5 5.469990-7480023546 2008 1.000000+6 4.345500-7 1.022000+6 4.128240-7 1.102170+6 3.523180-7480023546 2009 1.188630+6 3.006800-7 1.250000+6 2.739690-7 1.369310+6 2.340220-7480023546 2010 1.500000+6 1.999000-7 1.611850+6 1.766330-7 1.795470+6 1.467100-7480023546 2011 2.000000+6 1.218560-7 2.044000+6 1.176160-7 2.249780+6 1.013490-7480023546 2012 2.417610+6 9.064320-8 2.693110+6 7.666700-8 3.000000+6 6.484570-8480023546 2013 3.464100+6 5.284040-8 4.000000+6 4.305770-8 4.472140+6 3.705720-8480023546 2014 5.000000+6 3.189290-8 5.477230+6 2.835150-8 6.000000+6 2.520340-8480023546 2015 7.000000+6 2.077510-8 8.000000+6 1.764240-8 9.000000+6 1.531830-8480023546 2016 1.000000+7 1.352820-8 1.100000+7 1.209920-8 1.200000+7 1.094500-8480023546 2017 1.300000+7 9.987130-9 1.400000+7 9.186270-9 1.500000+7 8.495340-9480023546 2018 1.600000+7 7.906470-9 1.800000+7 6.939170-9 2.000000+7 6.181500-9480023546 2019 2.200000+7 5.572220-9 2.400000+7 5.071290-9 2.600000+7 4.653590-9480023546 2020 2.800000+7 4.298700-9 3.000000+7 3.994070-9 3.464100+7 3.431540-9480023546 2021 4.000000+7 2.948240-9 4.472140+7 2.624230-9 5.000000+7 2.335830-9480023546 2022 6.000000+7 1.933830-9 6.928200+7 1.667820-9 8.000000+7 1.438400-9480023546 2023 8.944271+7 1.283200-9 1.000000+8 1.144750-9 0.000000+0 0.000000+0480023546 2024 480023 0 2025 4.800000+4 1.114350+2 0 0 0 0480023547 2026 1.697000+1 0.000000+0 0 0 1 245480023547 2027 245 2 0 0 0 0480023547 2028 1.697000+1 0.000000+0 1.697000+1 4.882330+6 1.807000+1 4.825740+6480023547 2029 2.000000+1 5.162850+6 2.213360+1 6.029460+6 2.388200+1 7.053380+6480023547 2030 2.591900+1 8.622760+6 2.930490+1 1.165520+7 3.313310+1 1.575410+7480023547 2031 3.579800+1 1.858360+7 4.000000+1 2.203230+7 4.470630+1 2.318880+7480023547 2032 4.806560+1 2.191210+7 5.000000+1 2.082660+7 5.233180+1 1.914030+7480023547 2033 5.603490+1 1.593710+7 6.000000+1 1.254870+7 6.235740+1 1.067240+7480023547 2034 6.480740+1 9.076720+6 6.735370+1 7.492260+6 7.000000+1 6.184390+6480023547 2035 7.179210+1 5.362930+6 7.363000+1 4.650590+6 7.674890+1 3.580270+6480023547 2036 8.000000+1 2.756280+6 8.178640+1 2.352010+6 8.454110+1 1.854010+6480023547 2037 8.738850+1 1.461450+6 9.000000+1 1.164300+6 9.207640+1 9.636450+5480023547 2038 9.393250+1 8.166530+5 9.558720+1 7.065500+5 9.855340+1 5.483750+5480023547 2039 1.008380+2 4.534490+5 1.025870+2 3.932030+5 1.052660+2 3.175040+5480023547 2040 1.080160+2 2.563780+5 1.105430+2 2.196080+5 1.131300+2 1.881110+5480023547 2041 1.156300+2 1.684360+5 1.194530+2 1.515040+5 1.229020+2 1.455800+5480023547 2042 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0.000000+0 0 0 141 294900 1451 4 49-IN LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 4900 1451 6 ----JEF-2 MATERIAL 4900 REVISION 0 4900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4900 1451 8 ------ENDF-6 FORMAT 4900 1451 9 ******************************************************************4900 1451 10 * JEF-2 *4900 1451 11 * DATA TAKEN FROM EPDL *4900 1451 12 ******************************************************************4900 1451 13 =================================================================4900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4900 1451 15 ENDF/B-VI FORMAT 4900 1451 16 =================================================================4900 1451 17 CONTENTS 4900 1451 18 =================================================================4900 1451 19 MF/MT DESCRIPTION 4900 1451 20 =================================================================4900 1451 21 23/501 TOTAL CROSS SECTION 4900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 4900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 45 =================================================================4900 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 4900 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 4900 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4900 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 4900 1451 50 =================================================================4900 1451 51 WARNING 4900 1451 52 =================================================================4900 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4900 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4900 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4900 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4900 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4900 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4900 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4900 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4900 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4900 1451 62 =================================================================4900 1451 63 DEFINITION OF NEW TYPES OF DATA 4900 1451 64 =================================================================4900 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4900 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4900 1451 67 4900 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4900 1451 69 C2 FIELDS ARE, 4900 1451 70 4900 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4900 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4900 1451 73 4900 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4900 1451 75 4900 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4900 1451 77 4900 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4900 1451 79 T = THE THOMSON CROSS SECTION 4900 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 4900 1451 81 FF(M) = THE ATOMIC FORM FACTOR 4900 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4900 1451 83 F1(E) = THE REAL SCATTERING FACTOR 4900 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 4900 1451 85 4900 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 4900 1451 87 4900 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4900 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4900 1451 90 =================================================================4900 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4900 1451 92 =================================================================4900 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4900 1451 94 HERE - 10 EV TO 100 MEV 4900 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4900 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 4900 1451 97 HERE - PHOTON INTERACTION 4900 1451 98 - AVERAGE FLUORESCENCE YIELD 4900 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4900 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4900 1451 101 HERE - NO SECONDARY ENERGY DATA 4900 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4900 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 4900 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 4900 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4900 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4900 1451 107 - SCATTERING FACTORS LINEARLY INTERPOLABLE4900 1451 108 (SINCE THEY CAN BE NEGATIVE). 4900 1451 109 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4900 1451 110 ORDER TO ALLOW CROSS SECTIONS DEFINED 4900 1451 111 BY SUMMATION (E.G., TOTAL) TO BE 4900 1451 112 CONSISTENTLY DEFINED AT ALL ENERGIES. 4900 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 4900 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4900 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE4900 1451 116 =================================================================4900 1451 117 REFERENCES 4900 1451 118 =================================================================4900 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4900 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4900 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4900 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4900 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4900 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4900 1451 125 4900 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4900 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4900 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4900 1451 129 OF THE DATA, ETC. 4900 1451 130 =================================================================4900 1451 131 HISTORY 4900 1451 132 =================================================================4900 1451 133 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 4900 1451 134 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 4900 1451 135 CROSS SECTIONS. 4900 1451 136 =================================================================4900 1451 137 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4900 1451 138 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 4900 1451 139 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4900 1451 140 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4900 1451 141 *RECONSTRUCTED MT NUMBERS 4900 1451 142 516 =+(515,515)+(517,517) 4900 1451 143 522 =+(534,572) 4900 1451 144 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4900 1451 145 1 451 174 14900 1451 146 23 501 492 14900 1451 147 23 502 143 14900 1451 148 23 504 30 14900 1451 149 23 515 30 14900 1451 150 23 516 58 14900 1451 151 23 517 41 14900 1451 152 23 522 317 24900 1451 153 23 534 38 24900 1451 154 23 535 44 24900 1451 155 23 536 51 24900 1451 156 23 537 52 24900 1451 157 23 538 51 24900 1451 158 23 539 57 24900 1451 159 23 540 57 24900 1451 160 23 541 76 24900 1451 161 23 542 77 24900 1451 162 23 543 55 24900 1451 163 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1.113740+1 4.149580+6 1.142170+1 3.784870+6490023501 187 1.154780+1 3.623100+6 1.154840+1 3.622330+6 1.161500+1 3.539810+6490023501 188 1.171320+1 3.434710+6 1.192740+1 3.205450+6 1.202470+1 3.109290+6490023501 189 1.209540+1 3.039410+6 1.211310+1 3.022590+6 1.234440+1 2.820130+6490023501 190 1.258440+1 2.610060+6 1.263080+1 2.574520+6 1.266050+1 2.553770+6490023501 191 1.286400+1 2.411540+6 1.296470+1 2.341160+6 1.297230+1 2.336130+6490023501 192 1.307410+1 2.268670+6 1.329170+1 2.132960+6 1.347310+1 2.019830+6490023501 193 1.376450+1 1.857130+6 1.377890+1 1.849950+6 1.388420+1 1.797460+6490023501 194 1.389660+1 1.791580+6 1.409160+1 1.701930+6 1.424660+1 1.630670+6490023501 195 1.443130+1 1.553810+6 1.454370+1 1.507040+6 1.461840+1 1.477750+6490023501 196 1.480800+1 1.407720+6 1.500000+1 1.336810+6 1.506570+1 1.316000+6490023501 197 1.512470+1 1.297310+6 1.527210+1 1.250620+6 1.532790+1 1.234040+6490023501 198 1.551430+1 1.178650+6 1.562150+1 1.148310+6 1.572940+1 1.117780+6490023501 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1.968350+3490023544 1877 3.849500+3 1.578270+3 4.244000+3 1.265500+3 4.627740+3 1.024520+3490023544 1878 4.938160+3 8.744010+2 5.443250+3 6.894440+2 6.000000+3 5.436100+2490023544 1879 6.447420+3 4.512580+2 6.804750+3 3.924450+2 7.378210+3 3.182790+2490023544 1880 8.000000+3 2.581300+2 8.458970+3 2.219960+2 9.197270+3 1.770540+2490023544 1881 1.000000+4 1.412100+2 1.051990+4 1.222880+2 1.099690+4 1.078230+2490023544 1882 1.188440+4 8.650450+1 1.259670+4 7.333030+1 1.315870+4 6.478380+1490023544 1883 1.404920+4 5.379490+1 1.500000+4 4.467000+1 1.611850+4 3.606600+1490023544 1884 1.701190+4 3.071910+1 1.844550+4 2.414770+1 2.000000+4 1.898200+1490023544 1885 2.103980+4 1.622800+1 2.199390+4 1.414810+1 2.376880+4 1.112900+1490023544 1886 2.519330+4 9.295500+0 2.631750+4 8.121500+0 2.809850+4 6.632570+0490023544 1887 3.000000+4 5.416600+0 3.197810+4 4.411510+0 3.381560+4 3.686290+0490023544 1888 3.550980+4 3.150230+0 3.706180+4 2.745530+0 3.994270+4 2.158350+0490023544 1889 4.224940+4 1.801950+0 4.406640+4 1.573840+0 4.693950+4 1.284650+0490023544 1890 5.000000+4 1.048600+0 5.221370+4 9.086910-1 5.437800+4 7.945290-1490023544 1891 5.648840+4 7.005630-1 6.066860+4 5.532930-1 6.457930+4 4.500640-1490023544 1892 6.820750+4 3.756680-1 7.154890+4 3.207320-1 7.460660+4 2.792950-1490023544 1893 8.027550+4 2.192430-1 8.480810+4 1.828400-1 8.837470+4 1.595630-1490023544 1894 9.400779+4 1.300830-1 1.000000+5 1.060500-1 1.044270+5 9.201000-2490023544 1895 1.087560+5 8.054040-2 1.129770+5 7.108970-2 1.213370+5 5.625600-2490023544 1896 1.291590+5 4.583900-2 1.364150+5 3.831930-2 1.430980+5 3.275880-2490023544 1897 1.492130+5 2.855940-2 1.605510+5 2.246400-2 1.696160+5 1.876250-2490023544 1898 1.767490+5 1.639240-2 1.880160+5 1.338660-2 2.000000+5 1.093200-2490023544 1899 2.103980+5 9.326320-3 2.199390+5 8.116050-3 2.376880+5 6.363620-3490023544 1900 2.519330+5 5.302430-3 2.631750+5 4.624360-3 2.809850+5 3.766330-3490023544 1901 3.000000+5 3.067500-3 3.223710+5 2.476230-3 3.402370+5 2.108850-3490023544 1902 3.689100+5 1.657400-3 4.000000+5 1.302600-3 4.229490+5 1.112490-3490023544 1903 4.598630+5 8.780520-4 5.000000+5 6.930200-4 5.233180+5 6.130130-4490023544 1904 5.603490+5 5.099830-4 6.000000+5 4.242700-4 6.447420+5 3.538490-4490023544 1905 6.804750+5 3.088160-4 7.378210+5 2.517810-4 8.000000+5 2.052800-4490023544 1906 8.458970+5 1.802870-4 9.197270+5 1.483860-4 1.000000+6 1.221300-4490023544 1907 1.022000+6 1.166020-4 1.102170+6 1.000840-4 1.188630+6 8.590530-5490023544 1908 1.250000+6 7.810980-5 1.369310+6 6.623800-5 1.500000+6 5.617050-5490023544 1909 1.611850+6 4.962970-5 1.795470+6 4.121840-5 2.000000+6 3.423270-5490023544 1910 2.044000+6 3.302730-5 2.249780+6 2.845560-5 2.417610+6 2.544710-5490023544 1911 2.693110+6 2.152020-5 3.000000+6 1.819920-5 3.464100+6 1.482590-5490023544 1912 4.000000+6 1.207790-5 4.472140+6 1.039340-5 5.000000+6 8.943880-6490023544 1913 5.477230+6 7.949410-6 6.000000+6 7.065510-6 7.000000+6 5.823970-6490023544 1914 8.000000+6 4.944050-6 9.000000+6 4.291140-6 1.000000+7 3.788900-6490023544 1915 1.100000+7 3.389110-6 1.200000+7 3.065670-6 1.300000+7 2.796470-6490023544 1916 1.400000+7 2.571470-6 1.500000+7 2.378610-6 1.600000+7 2.213870-6490023544 1917 1.800000+7 1.942660-6 2.000000+7 1.730520-6 2.200000+7 1.559760-6490023544 1918 2.400000+7 1.419530-6 2.600000+7 1.302410-6 2.800000+7 1.203170-6490023544 1919 3.000000+7 1.117780-6 3.464100+7 9.602250-7 4.000000+7 8.248780-7490023544 1920 4.472140+7 7.342130-7 5.000000+7 6.535140-7 6.000000+7 5.410130-7490023544 1921 6.928200+7 4.665840-7 8.000000+7 4.023940-7 8.944271+7 3.590800-7490023544 1922 1.000000+8 3.204290-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0490023544 1923 490023 0 1924 4.900000+4 1.138340+2 0 0 0 0490023545 1925 8.387000+1 0.000000+0 0 0 1 177490023545 1926 177 2 0 0 0 0490023545 1927 8.387000+1 0.000000+0 8.387000+1 7.898840+5 8.642130+1 7.675810+5490023545 1928 9.258000+1 6.604280+5 1.000000+2 5.341760+5 1.054840+2 4.719730+5490023545 1929 1.112680+2 4.170130+5 1.219310+2 3.577970+5 1.304600+2 3.305740+5490023545 1930 1.500000+2 3.025260+5 2.000000+2 2.771560+5 2.449490+2 2.522230+5490023545 1931 3.000000+2 2.189440+5 3.464100+2 1.909900+5 4.000000+2 1.666050+5490023545 1932 4.472140+2 1.461290+5 5.000000+2 1.281700+5 5.438790+2 1.140600+5490023545 1933 6.170210+2 9.575420+4 7.000000+2 8.038600+4 7.652860+2 6.966630+4490023545 1934 8.748060+2 5.620640+4 1.000000+3 4.534700+4 1.106680+3 3.773910+4490023545 1935 1.194100+3 3.288310+4 1.338340+3 2.674520+4 1.500000+3 2.175300+4490023545 1936 1.611850+3 1.886820+4 1.795470+3 1.524220+4 2.000000+3 1.231300+4490023545 1937 2.213360+3 9.908090+3 2.388200+3 8.418010+3 2.528320+3 7.449451+3490023545 1938 2.754080+3 6.201500+3 3.000000+3 5.162600+3 3.271790+3 4.216440+3490023545 1939 3.491660+3 3.622470+3 3.849500+3 2.884640+3 4.244000+3 2.297100+3490023545 1940 4.627740+3 1.848240+3 4.938160+3 1.570160+3 5.184550+3 1.389410+3490023545 1941 5.577390+3 1.156550+3 6.000000+3 9.627100+2 6.447420+3 7.949620+2490023545 1942 6.804750+3 6.886280+2 7.378210+3 5.551910+2 8.000000+3 4.476100+2490023545 1943 8.458970+3 3.833240+2 9.197270+3 3.037850+2 1.000000+4 2.407500+2490023545 1944 1.051990+4 2.076390+2 1.099690+4 1.824250+2 1.188440+4 1.454420+2490023545 1945 1.259670+4 1.227140+2 1.315870+4 1.080310+2 1.404920+4 8.923360+1490023545 1946 1.500000+4 7.370700+1 1.611850+4 5.913750+1 1.701190+4 5.013360+1490023545 1947 1.771420+4 4.429230+1 1.882240+4 3.678130+1 2.000000+4 3.054400+1490023545 1948 2.103980+4 2.598620+1 2.199390+4 2.255970+1 2.286410+4 1.993420+1490023545 1949 2.447070+4 1.605330+1 2.574930+4 1.364710+1 2.779350+4 1.069670+1490023545 1950 3.000000+4 8.384200+0 3.197810+4 6.777380+0 3.381560+4 5.626170+0490023545 1951 3.550980+4 4.780450+0 3.706180+4 4.145420+0 3.847530+4 3.659370+0490023545 1952 4.107990+4 2.941850+0 4.314830+4 2.497650+0 4.644800+4 1.953880+0490023545 1953 5.000000+4 1.528500+0 5.221370+4 1.317010+0 5.437800+4 1.145400+0490023545 1954 5.648840+4 1.004880+0 6.066860+4 7.862000-1 6.457930+4 6.342710-1490023545 1955 6.820750+4 5.256220-1 7.154890+4 4.459360-1 7.460660+4 3.861860-1490023545 1956 7.738920+4 3.405100-1 8.251070+4 2.731900-1 8.657300+4 2.315870-1490023545 1957 9.304460+4 1.807550-1 1.000000+5 1.410800-1 1.051990+5 1.184540-1490023545 1958 1.099690+5 1.016540-1 1.143200+5 8.892110-2 1.223530+5 7.035450-2490023545 1959 1.287460+5 5.902110-2 1.337590+5 5.173610-2 1.416470+5 4.245930-2490023545 1960 1.500000+5 3.484600-2 1.611850+5 2.731100-2 1.701190+5 2.274970-2490023545 1961 1.771420+5 1.983610-2 1.882240+5 1.615010-2 2.000000+5 1.314900-2490023545 1962 2.103980+5 1.114870-2 2.199390+5 9.649630-3 2.286410+5 8.504290-3490023545 1963 2.447070+5 6.817280-3 2.574930+5 5.775520-3 2.675180+5 5.100060-3490023545 1964 2.832940+5 4.232070-3 3.000000+5 3.511800-3 3.223710+5 2.819190-3490023545 1965 3.402370+5 2.390940-3 3.542840+5 2.113020-3 3.764490+5 1.755520-3490023545 1966 4.000000+5 1.458500-3 4.229490+5 1.243380-3 4.598630+5 9.786980-4490023545 1967 5.000000+5 7.703600-4 5.233180+5 6.815480-4 5.603490+5 5.671540-4490023545 1968 6.000000+5 4.719600-4 6.447420+5 3.949770-4 6.804750+5 3.455980-4490023545 1969 7.378210+5 2.828590-4 8.000000+5 2.315100-4 8.458970+5 2.041980-4490023545 1970 9.197270+5 1.691520-4 1.000000+6 1.401200-4 1.022000+6 1.339370-4490023545 1971 1.102170+6 1.151190-4 1.188630+6 9.894440-5 1.250000+6 8.989820-5490023545 1972 1.369310+6 7.611470-5 1.500000+6 6.444450-5 1.611850+6 5.694020-5490023545 1973 1.795470+6 4.728990-5 2.000000+6 3.927520-5 2.044000+6 3.789230-5490023545 1974 2.249780+6 3.264720-5 2.417610+6 2.919550-5 2.693110+6 2.469010-5490023545 1975 3.000000+6 2.087990-5 3.464100+6 1.700980-5 4.000000+6 1.385700-5490023545 1976 4.472140+6 1.192440-5 5.000000+6 1.026130-5 5.477230+6 9.120350-6490023545 1977 6.000000+6 8.106270-6 7.000000+6 6.681850-6 8.000000+6 5.672320-6490023545 1978 9.000000+6 4.923230-6 1.000000+7 4.347010-6 1.100000+7 3.888340-6490023545 1979 1.200000+7 3.517250-6 1.300000+7 3.208400-6 1.400000+7 2.950250-6490023545 1980 1.500000+7 2.728980-6 1.600000+7 2.539980-6 1.800000+7 2.228820-6490023545 1981 2.000000+7 1.985430-6 2.200000+7 1.789510-6 2.400000+7 1.628630-6490023545 1982 2.600000+7 1.494260-6 2.800000+7 1.380390-6 3.000000+7 1.282440-6490023545 1983 3.464100+7 1.101670-6 4.000000+7 9.463850-7 4.472140+7 8.423650-7490023545 1984 5.000000+7 7.497780-7 6.000000+7 6.207050-7 6.928200+7 5.353130-7490023545 1985 8.000000+7 4.616680-7 8.944271+7 4.119740-7 1.000000+8 3.676290-7490023545 1986 490023 0 1987 4.900000+4 1.138340+2 0 0 0 0490023546 1988 2.549000+1 0.000000+0 0 0 1 245490023546 1989 245 2 0 0 0 0490023546 1990 2.549000+1 0.000000+0 2.549000+1 2.063950+6 2.822210+1 2.383090+6490023546 1991 3.000000+1 2.767120+6 3.109840+1 3.134090+6 3.311830+1 4.205410+6490023546 1992 3.471890+1 5.243010+6 3.596990+1 6.186000+6 3.793150+1 7.927820+6490023546 1993 4.000000+1 1.016010+7 4.229490+1 1.240650+7 4.410200+1 1.391500+7490023546 1994 4.695850+1 1.559290+7 5.000000+1 1.625460+7 5.233180+1 1.599540+7490023546 1995 5.603490+1 1.457540+7 6.000000+1 1.231700+7 6.418600+1 9.759820+6490023546 1996 6.800570+1 7.609830+6 7.000000+1 6.610670+6 7.237630+1 5.510710+6490023546 1997 7.483320+1 4.593770+6 7.737350+1 3.739950+6 8.000000+1 3.044830+6490023546 1998 8.272850+1 2.425150+6 8.555000+1 1.931580+6 8.725580+1 1.669220+6490023546 1999 8.987850+1 1.340950+6 9.258000+1 1.077240+6 9.438170+1 9.231770+5490023546 2000 9.715030+1 7.323920+5 1.000000+2 5.810350+5 1.027050+2 4.624900+5490023546 2001 1.047820+2 3.897420+5 1.079760+2 3.015010+5 1.112680+2 2.332390+5490023546 2002 1.139240+2 1.960530+5 1.166440+2 1.647950+5 1.204580+2 1.362300+5490023546 2003 1.239970+2 1.198280+5 1.276400+2 1.107250+5 1.304600+2 1.081240+5490023546 2004 1.350920+2 1.096680+5 1.423510+2 1.217410+5 1.611860+2 1.716670+5490023546 2005 1.795470+2 2.165060+5 2.000000+2 2.535830+5 2.213360+2 2.747110+5490023546 2006 2.388200+2 2.807770+5 2.676670+2 2.760880+5 3.000000+2 2.595850+5490023546 2007 3.464100+2 2.300590+5 4.000000+2 1.957990+5 4.472140+2 1.664950+5490023546 2008 5.000000+2 1.415770+5 5.477230+2 1.207350+5 6.000000+2 1.029620+5490023546 2009 6.543440+2 8.683240+4 7.136100+2 7.322960+4 7.562340+2 6.455270+4490023546 2010 8.249910+2 5.342650+4 9.000000+2 4.421790+4 9.486830+2 3.912690+4490023546 2011 1.000000+3 3.462200+4 1.078990+3 2.866280+4 1.142300+3 2.487670+4490023546 2012 1.244300+3 2.011430+4 1.355400+3 1.626360+4 1.422940+3 1.424200+4490023546 2013 1.549350+3 1.128990+4 1.651460+3 9.484880+3 1.732440+3 8.323140+3490023546 2014 1.861420+3 6.841800+3 2.000000+3 5.624100+3 2.103980+3 4.832030+3490023546 2015 2.199390+3 4.231030+3 2.376880+3 3.353520+3 2.519330+3 2.817030+3490023546 2016 2.631750+3 2.471780+3 2.809850+3 2.031600+3 3.000000+3 1.669800+3490023546 2017 3.132950+3 1.451300+3 3.379940+3 1.135450+3 3.577880+3 9.445500+2490023546 2018 3.733900+3 8.227510+2 3.980790+3 6.688580+2 4.244000+3 5.437500+2490023546 2019 4.431720+3 4.686550+2 4.602770+3 4.115060+2 4.918160+3 3.277480+2490023546 2020 5.168800+3 2.763210+2 5.365130+3 2.431190+2 5.673690+3 2.006440+2490023546 2021 6.000000+3 1.655900+2 6.219690+3 1.455110+2 6.623670+3 1.160510+2490023546 2022 6.943790+3 9.794140+1 7.193991+3 8.623900+1 7.586300+3 7.125410+1490023546 2023 8.000000+3 5.887300+1 8.458970+3 4.783980+1 8.820401+3 4.094440+1490023546 2024 9.391701+3 3.241910+1 1.000000+4 2.566900+1 1.051990+4 2.110250+1490023546 2025 1.099690+4 1.777850+1 1.143200+4 1.530240+1 1.182690+4 1.342050+1490023546 2026 1.255090+4 1.066670+1 1.312290+4 8.978960+0 1.356890+4 7.890850+0490023546 2027 1.426650+4 6.500850+0 1.500000+4 5.355700+0 1.554920+4 4.639680+0490023546 2028 1.655920+4 3.609230+0 1.735950+4 2.989570+0 1.798500+4 2.595710+0490023546 2029 1.896570+4 2.100020+0 2.000000+4 1.699000+0 2.103980+4 1.380620+0490023546 2030 2.199390+4 1.151380+0 2.286410+4 9.822430-1 2.365370+4 8.547620-1490023546 2031 2.510180+4 6.701800-1 2.624580+4 5.584070-1 2.713780+4 4.869900-1490023546 2032 2.853300+4 3.966200-1 3.000000+4 3.230200-1 3.132820+4 2.694510-1490023546 2033 3.262680+4 2.273280-1 3.389300+4 1.938390-1 3.512470+4 1.669370-1490023546 2034 3.632000+4 1.451180-1 3.747760+4 1.272600-1 3.974840+4 9.948590-2490023546 2035 4.184790+4 8.020420-2 4.377570+4 6.642450-2 4.553520+4 5.632400-2490023546 2036 4.713280+4 4.875430-2 5.006450+4 3.787230-2 5.238240+4 3.133670-2490023546 2037 5.419100+4 2.718640-2 5.702160+4 2.196840-2 6.000000+4 1.775200-2490023546 2038 6.194650+4 1.553450-2 6.576800+4 1.209590-2 6.930470+4 9.717690-3490023546 2039 7.255500+4 8.023640-3 7.552379+4 6.785460-3 7.822100+4 5.859840-3490023546 2040 8.066000+4 5.154120-3 8.511250+4 4.117410-3 8.861250+4 3.479180-3490023546 2041 9.413420+4 2.702430-3 1.000000+5 2.099100-3 1.051990+5 1.705830-3490023546 2042 1.099690+5 1.422650-3 1.143200+5 1.213710-3 1.182690+5 1.056230-3490023546 2043 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4.415350-1 4.449860+4 4.560370-1490027506 2696 4.651790+4 5.354050-1 4.731160+4 5.603160-1 4.773580+4 5.698470-1490027506 2697 4.822160+4 5.689250-1 5.157170+4 6.367540-1 5.653970+4 6.569480-1490027506 2698 6.107740+4 6.584790-1 6.588410+4 6.451310-1 7.154890+4 6.283510-1490027506 2699 7.733729+4 5.961350-1 8.281320+4 5.669060-1 8.975050+4 5.248710-1490027506 2700 9.645960+4 4.851730-1 1.044270+5 4.448770-1 1.121240+5 4.075190-1490027506 2701 1.193570+5 3.763810-1 1.306770+5 3.341150-1 1.423040+5 2.974800-1490027506 2702 1.554920+5 2.624870-1 1.655920+5 2.387240-1 1.773480+5 2.151850-1490027506 2703 1.896570+5 1.937310-1 2.069860+5 1.690430-1 2.199390+5 1.526960-1490027506 2704 2.365370+5 1.355100-1 2.574930+5 1.172910-1 2.719340+5 1.061310-1490027506 2705 2.926860+5 9.248520-2 3.109840+5 8.197770-2 3.311840+5 7.226390-2490027506 2706 3.597000+5 6.131300-2 3.859300+5 5.297340-2 4.173740+5 4.467380-2490027506 2707 4.472140+5 3.797180-2 4.895530+5 3.047920-2 5.524000+5 2.226180-2490027506 2708 6.071310+5 1.691390-2 6.356340+5 1.455530-2 6.623670+5 1.268720-2490027506 2709 7.088150+5 9.826830-3 7.682820+5 6.898680-3 8.238340+5 4.703670-3490027506 2710 9.101570+5 2.091570-3 9.197270+5 1.811010-3 9.808140+5 4.321280-4490027506 2711 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0490027506 2712 490027 0 2713 4900 0 0 2714 0 0 0 2715 5.000000+4 1.176700+2 -1 0 2 25000 1451 1 0.000000+0 0.000000+0 0 0 0 65000 1451 2 0.000000+0 0.000000+0 0 0 3 25000 1451 3 0.000000+0 0.000000+0 0 0 141 295000 1451 4 50-SN LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5000 1451 6 ----JEF-2 MATERIAL 5000 REVISION 0 5000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5000 1451 8 ------ENDF-6 FORMAT 5000 1451 9 ******************************************************************5000 1451 10 * JEF-2 *5000 1451 11 * DATA TAKEN FROM EPDL *5000 1451 12 ******************************************************************5000 1451 13 =================================================================5000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5000 1451 15 ENDF/B-VI FORMAT 5000 1451 16 =================================================================5000 1451 17 CONTENTS 5000 1451 18 =================================================================5000 1451 19 MF/MT DESCRIPTION 5000 1451 20 =================================================================5000 1451 21 23/501 TOTAL CROSS SECTION 5000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 45 =================================================================5000 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 5000 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 5000 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5000 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 5000 1451 50 =================================================================5000 1451 51 WARNING 5000 1451 52 =================================================================5000 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5000 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5000 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5000 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5000 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5000 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5000 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5000 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5000 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5000 1451 62 =================================================================5000 1451 63 DEFINITION OF NEW TYPES OF DATA 5000 1451 64 =================================================================5000 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5000 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5000 1451 67 5000 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5000 1451 69 C2 FIELDS ARE, 5000 1451 70 5000 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5000 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5000 1451 73 5000 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5000 1451 75 5000 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5000 1451 77 5000 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5000 1451 79 T = THE THOMSON CROSS SECTION 5000 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 5000 1451 81 FF(M) = THE ATOMIC FORM FACTOR 5000 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5000 1451 83 F1(E) = THE REAL SCATTERING FACTOR 5000 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 5000 1451 85 5000 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 5000 1451 87 5000 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5000 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5000 1451 90 =================================================================5000 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5000 1451 92 =================================================================5000 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5000 1451 94 HERE - 10 EV TO 100 MEV 5000 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5000 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 5000 1451 97 HERE - PHOTON INTERACTION 5000 1451 98 - AVERAGE FLUORESCENCE YIELD 5000 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5000 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5000 1451 101 HERE - NO SECONDARY ENERGY DATA 5000 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5000 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 5000 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 5000 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 5000 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5000 1451 107 - SCATTERING FACTORS LINEARLY INTERPOLABLE5000 1451 108 (SINCE THEY CAN BE NEGATIVE). 5000 1451 109 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5000 1451 110 ORDER TO ALLOW CROSS SECTIONS DEFINED 5000 1451 111 BY SUMMATION (E.G., TOTAL) TO BE 5000 1451 112 CONSISTENTLY DEFINED AT ALL ENERGIES. 5000 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 5000 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5000 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE5000 1451 116 =================================================================5000 1451 117 REFERENCES 5000 1451 118 =================================================================5000 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5000 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5000 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5000 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5000 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5000 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5000 1451 125 5000 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5000 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5000 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5000 1451 129 OF THE DATA, ETC. 5000 1451 130 =================================================================5000 1451 131 HISTORY 5000 1451 132 =================================================================5000 1451 133 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5000 1451 134 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5000 1451 135 CROSS SECTIONS. 5000 1451 136 =================================================================5000 1451 137 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5000 1451 138 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5000 1451 139 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5000 1451 140 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5000 1451 141 *RECONSTRUCTED MT NUMBERS 5000 1451 142 516 =+(515,515)+(517,517) 5000 1451 143 522 =+(534,572) 5000 1451 144 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5000 1451 145 1 451 174 15000 1451 146 23 501 491 15000 1451 147 23 502 139 15000 1451 148 23 504 31 15000 1451 149 23 515 30 15000 1451 150 23 516 58 15000 1451 151 23 517 41 15000 1451 152 23 522 319 25000 1451 153 23 534 37 25000 1451 154 23 535 44 25000 1451 155 23 536 51 25000 1451 156 23 537 52 25000 1451 157 23 538 50 25000 1451 158 23 539 55 25000 1451 159 23 540 56 25000 1451 160 23 541 75 25000 1451 161 23 542 75 25000 1451 162 23 543 55 25000 1451 163 23 544 61 25000 1451 164 23 545 61 25000 1451 165 23 546 85 25000 1451 166 23 547 86 25000 1451 167 23 550 70 25000 1451 168 23 551 72 25000 1451 169 23 552 72 25000 1451 170 27 502 49 15000 1451 171 27 504 42 15000 1451 172 27 505 116 15000 1451 173 27 506 116 15000 1451 174 5000 1 0 175 5000 0 0 176 5.000000+4 1.176700+2 0 0 0 0500023501 177 0.000000+0 0.000000+0 0 0 1 1463500023501 178 1463 2 0 0 0 0500023501 179 1.000000+1 1.365920+7 1.055960+1 1.174040+7 1.075810+1 1.121380+7500023501 180 1.145840+1 9.355770+6 1.154780+1 9.181580+6 1.157360+1 9.131310+6500023501 181 1.220820+1 7.894880+6 1.243360+1 7.455710+6 1.287750+1 6.721230+6500023501 182 1.303080+1 6.467580+6 1.313520+1 6.331080+6 1.320720+1 6.236950+6500023501 183 1.321580+1 6.225700+6 1.325740+1 6.171310+6 1.330630+1 6.107380+6500023501 184 1.336800+1 6.026710+6 1.339000+1 5.997940+6 1.339000+1 6.778380+6500023501 185 1.342990+1 6.712340+6 1.348360+1 6.623450+6 1.353080+1 6.545320+6500023501 186 1.357240+1 6.476470+6 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4.865350+3500023544 1865 2.528320+3 4.328520+3 2.754080+3 3.632260+3 3.000000+3 3.048000+3500023544 1866 3.314870+3 2.434110+3 3.572520+3 2.056290+3 3.778830+3 1.811930+3500023544 1867 4.110830+3 1.498750+3 4.472000+3 1.239700+3 4.812980+3 1.036990+3500023544 1868 5.085670+3 9.070200+2 5.523950+3 7.419610+2 6.000000+3 6.069400+2500023544 1869 6.447420+3 5.046440+2 6.804750+3 4.394040+2 7.378210+3 3.570130+2500023544 1870 8.000000+3 2.900700+2 8.458970+3 2.497780+2 9.197270+3 1.995860+2500023544 1871 1.000000+4 1.594800+2 1.051990+4 1.382680+2 1.099690+4 1.220360+2500023544 1872 1.188440+4 9.807870+1 1.259670+4 8.325110+1 1.315870+4 7.362100+1500023544 1873 1.404920+4 6.122370+1 1.500000+4 5.091400+1 1.611850+4 4.116970+1500023544 1874 1.701190+4 3.510610+1 1.844550+4 2.764340+1 2.000000+4 2.176700+1500023544 1875 2.103980+4 1.862800+1 2.199390+4 1.625500+1 2.376880+4 1.280640+1500023544 1876 2.519330+4 1.070910+1 2.631750+4 9.364860+0 2.809850+4 7.658100+0500023544 1877 3.000000+4 6.262400+0 3.197810+4 5.106310+0 3.381560+4 4.271240+0500023544 1878 3.550980+4 3.653370+0 3.706180+4 3.186520+0 3.994270+4 2.508450+0500023544 1879 4.224940+4 2.096400+0 4.406640+4 1.832410+0 4.693950+4 1.497440+0500023544 1880 5.000000+4 1.223700+0 5.221370+4 1.061150+0 5.437800+4 9.284320-1500023544 1881 5.648840+4 8.191220-1 6.066860+4 6.476580-1 6.457930+4 5.273430-1500023544 1882 6.820750+4 4.405520-1 7.154890+4 3.764120-1 7.460660+4 3.279980-1500023544 1883 8.027550+4 2.577720-1 8.480810+4 2.151580-1 8.837470+4 1.878890-1500023544 1884 9.400779+4 1.533250-1 1.000000+5 1.251200-1 1.044270+5 1.086140-1500023544 1885 1.087560+5 9.512210-2 1.129770+5 8.400000-2 1.213370+5 6.653110-2500023544 1886 1.291590+5 5.425340-2 1.364150+5 4.538420-2 1.430980+5 3.882140-2500023544 1887 1.492130+5 3.386240-2 1.605510+5 2.665940-2 1.696160+5 2.228170-2500023544 1888 1.767490+5 1.947700-2 1.880160+5 1.591780-2 2.000000+5 1.300900-2500023544 1889 2.103980+5 1.110390-2 2.199390+5 9.667200-3 2.376880+5 7.585720-3500023544 1890 2.519330+5 6.324400-3 2.631750+5 5.518050-3 2.809850+5 4.497130-3500023544 1891 3.000000+5 3.665100-3 3.223710+5 2.960600-3 3.402370+5 2.522620-3500023544 1892 3.689100+5 1.984070-3 4.000000+5 1.560500-3 4.229490+5 1.333200-3500023544 1893 4.598630+5 1.052780-3 5.000000+5 8.313500-4 5.233180+5 7.355520-4500023544 1894 5.603490+5 6.121490-4 6.000000+5 5.094500-4 6.447420+5 4.250660-4500023544 1895 6.804750+5 3.710840-4 7.378210+5 3.026890-4 8.000000+5 2.469000-4500023544 1896 8.458970+5 2.168910-4 9.197270+5 1.785760-4 1.000000+6 1.470300-4500023544 1897 1.022000+6 1.403850-4 1.102170+6 1.205180-4 1.188630+6 1.034620-4500023544 1898 1.250000+6 9.407330-5 1.369310+6 7.974460-5 1.500000+6 6.759840-5500023544 1899 1.611850+6 5.971620-5 1.795470+6 4.958220-5 2.000000+6 4.116800-5500023544 1900 2.044000+6 3.973390-5 2.249780+6 3.422860-5 2.417610+6 3.060620-5500023544 1901 2.693110+6 2.587860-5 3.000000+6 2.188120-5 3.464100+6 1.782000-5500023544 1902 4.000000+6 1.451250-5 4.472140+6 1.248710-5 5.000000+6 1.074430-5500023544 1903 5.477230+6 9.548110-6 6.000000+6 8.485100-6 7.000000+6 6.991500-6500023544 1904 8.000000+6 5.934720-6 9.000000+6 5.151510-6 1.000000+7 4.547010-6500023544 1905 1.100000+7 4.066050-6 1.200000+7 3.677760-6 1.300000+7 3.355650-6500023544 1906 1.400000+7 3.084290-6 1.500000+7 2.854840-6 1.600000+7 2.656280-6500023544 1907 1.800000+7 2.329760-6 2.000000+7 2.075170-6 2.200000+7 1.870430-6500023544 1908 2.400000+7 1.702320-6 2.600000+7 1.561780-6 2.800000+7 1.442420-6500023544 1909 3.000000+7 1.340060-6 3.464100+7 1.151250-6 4.000000+7 9.890460-7500023544 1910 4.472140+7 8.802530-7 5.000000+7 7.834270-7 6.000000+7 6.486270-7500023544 1911 6.928200+7 5.593020-7 8.000000+7 4.822790-7 8.944271+7 4.302760-7500023544 1912 1.000000+8 3.838810-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0500023544 1913 500023 0 1914 5.000000+4 1.176700+2 0 0 0 0500023545 1915 9.580000+1 0.000000+0 0 0 1 174500023545 1916 174 2 0 0 0 0500023545 1917 9.580000+1 0.000000+0 9.580000+1 6.048480+5 1.000000+2 5.779160+5500023545 1918 1.097620+2 4.812000+5 1.204760+2 4.006690+5 1.347630+2 3.425800+5500023545 1919 1.500000+2 3.158960+5 2.000000+2 2.878790+5 2.449490+2 2.635770+5500023545 1920 3.000000+2 2.302870+5 3.464100+2 2.016490+5 4.000000+2 1.765720+5500023545 1921 4.532730+2 1.526740+5 5.136400+2 1.320100+5 5.567250+2 1.181440+5500023545 1922 6.282210+2 1.000280+5 7.089000+2 8.468910+4 7.725720+2 7.386140+4500023545 1923 8.789610+2 6.015920+4 1.000000+3 4.899900+4 1.106680+3 4.084680+4500023545 1924 1.194100+3 3.563570+4 1.338340+3 2.903870+4 1.500000+3 2.366300+4500023545 1925 1.611850+3 2.054740+4 1.795470+3 1.662600+4 2.000000+3 1.345300+4500023545 1926 2.213360+3 1.084440+4 2.388200+3 9.225680+3 2.528320+3 8.172250+3500023545 1927 2.754080+3 6.813280+3 3.000000+3 5.680300+3 3.314870+3 4.502930+3500023545 1928 3.572520+3 3.783020+3 3.778830+3 3.319680+3 4.110830+3 2.728860+3500023545 1929 4.472000+3 2.243200+3 4.812980+3 1.866220+3 5.085670+3 1.625680+3500023545 1930 5.523950+3 1.321720+3 6.000000+3 1.074600+3 6.447420+3 8.886090+2500023545 1931 6.804750+3 7.705630+2 7.378210+3 6.222360+2 8.000000+3 5.024600+2500023545 1932 8.458970+3 4.307770+2 9.197270+3 3.419630+2 1.000000+4 2.714600+2500023545 1933 1.051990+4 2.343630+2 1.099690+4 2.060870+2 1.188440+4 1.645630+2500023545 1934 1.259670+4 1.390090+2 1.315870+4 1.224830+2 1.404920+4 1.013040+2500023545 1935 1.500000+4 8.378700+1 1.611850+4 6.731480+1 1.701190+4 5.712300+1500023545 1936 1.771420+4 5.050520+1 1.882240+4 4.198790+1 2.000000+4 3.490700+1500023545 1937 2.103980+4 2.972440+1 2.199390+4 2.582500+1 2.376880+4 2.019110+1500023545 1938 2.519330+4 1.678810+1 2.631750+4 1.461780+1 2.809850+4 1.187690+1500023545 1939 3.000000+4 9.649900+0 3.197810+4 7.808550+0 3.381560+4 6.488020+0500023545 1940 3.550980+4 5.517110+0 3.706180+4 4.787520+0 3.847530+4 4.228730+0500023545 1941 4.107990+4 3.403170+0 4.314830+4 2.891600+0 4.644800+4 2.264760+0500023545 1942 5.000000+4 1.773800+0 5.221370+4 1.529240+0 5.437800+4 1.330690+0500023545 1943 5.648840+4 1.168020+0 6.066860+4 9.146960-1 6.457930+4 7.385420-1500023545 1944 6.820750+4 6.124720-1 7.154890+4 5.199460-1 7.460660+4 4.505270-1500023545 1945 7.738920+4 3.974330-1 8.251070+4 3.191270-1 8.657300+4 2.707000-1500023545 1946 9.304460+4 2.114830-1 1.000000+5 1.652200-1 1.044270+5 1.425090-1500023545 1947 1.087560+5 1.240610-1 1.129770+5 1.089410-1 1.213370+5 8.538030-2500023545 1948 1.291590+5 6.898490-2 1.364150+5 5.724340-2 1.430980+5 4.862120-2500023545 1949 1.492130+5 4.214910-2 1.547780+5 3.719680-2 1.650210+5 2.988900-2500023545 1950 1.731460+5 2.536680-2 1.860890+5 1.983340-2 2.000000+5 1.550700-2500023545 1951 2.103980+5 1.315290-2 2.199390+5 1.138810-2 2.286410+5 1.003930-2500023545 1952 2.447070+5 8.051810-3 2.574930+5 6.823970-3 2.675180+5 6.027600-3500023545 1953 2.832940+5 5.003860-3 3.000000+5 4.154000-3 3.223710+5 3.335830-3500023545 1954 3.402370+5 2.829810-3 3.542840+5 2.501340-3 3.764490+5 2.078720-3500023545 1955 4.000000+5 1.727500-3 4.229490+5 1.472840-3 4.598630+5 1.159470-3500023545 1956 5.000000+5 9.127800-4 5.233180+5 8.077070-4 5.603490+5 6.723340-4500023545 1957 6.000000+5 5.596500-4 6.447420+5 4.683060-4 6.804750+5 4.097220-4500023545 1958 7.378210+5 3.352960-4 8.000000+5 2.743900-4 8.458970+5 2.420440-4500023545 1959 9.197270+5 2.005320-4 1.000000+6 1.661400-4 1.022000+6 1.588180-4500023545 1960 1.102170+6 1.365590-4 1.188630+6 1.174190-4 1.250000+6 1.066190-4500023545 1961 1.369310+6 9.024430-5 1.500000+6 7.638440-5 1.611850+6 6.747770-5500023545 1962 1.795470+6 5.602660-5 2.000000+6 4.651870-5 2.044000+6 4.489830-5500023545 1963 2.249780+6 3.867740-5 2.417610+6 3.458420-5 2.693110+6 2.924210-5500023545 1964 3.000000+6 2.472520-5 3.464100+6 2.013610-5 4.000000+6 1.639870-5500023545 1965 4.472140+6 1.411000-5 5.000000+6 1.214070-5 5.477230+6 1.078910-5500023545 1966 6.000000+6 9.587940-6 7.000000+6 7.900200-6 8.000000+6 6.706070-6500023545 1967 9.000000+6 5.821070-6 1.000000+7 5.138000-6 1.100000+7 4.594530-6500023545 1968 1.200000+7 4.155770-6 1.300000+7 3.791800-6 1.400000+7 3.485160-6500023545 1969 1.500000+7 3.225900-6 1.600000+7 3.001530-6 1.800000+7 2.632570-6500023545 1970 2.000000+7 2.344880-6 2.200000+7 2.113540-6 2.400000+7 1.923570-6500023545 1971 2.600000+7 1.764770-6 2.800000+7 1.629900-6 3.000000+7 1.514230-6500023545 1972 3.464100+7 1.300890-6 4.000000+7 1.117600-6 4.472140+7 9.946650-7500023545 1973 5.000000+7 8.852520-7 6.000000+7 7.329320-7 6.928200+7 6.319970-7500023545 1974 8.000000+7 5.449620-7 8.944271+7 4.862010-7 1.000000+8 4.337760-7500023545 1975 500023 0 1976 5.000000+4 1.176700+2 0 0 0 0500023546 1977 3.349000+1 0.000000+0 0 0 1 244500023546 1978 244 2 0 0 0 0500023546 1979 3.349000+1 0.000000+0 3.349000+1 1.379200+6 3.501070+1 1.675430+6500023546 1980 3.660050+1 2.035290+6 3.784010+1 2.425610+6 3.912160+1 2.890780+6500023546 1981 4.000000+1 3.313200+6 4.113140+1 4.020520+6 4.229490+1 4.878850+6500023546 1982 4.410200+1 6.604510+6 4.598630+1 8.940550+6 4.795120+1 1.164220+7500023546 1983 5.000000+1 1.432400+7 5.218290+1 1.639470+7 5.403610+1 1.733920+7500023546 1984 5.609480+1 1.756730+7 5.866890+1 1.690520+7 6.235740+1 1.489620+7500023546 1985 6.606830+1 1.235630+7 7.000000+1 9.648000+6 7.237630+1 8.085010+6500023546 1986 7.483320+1 6.775230+6 7.737350+1 5.516730+6 8.000000+1 4.492000+6500023546 1987 8.239070+1 3.658460+6 8.423050+1 3.136480+6 8.706750+1 2.489770+6500023546 1988 9.000000+1 1.976400+6 9.240210+1 1.611510+6 9.424570+1 1.382780+6500023546 1989 9.708020+1 1.099090+6 1.000000+2 8.736000+5 1.033100+2 6.695150+5500023546 1990 1.058630+2 5.483980+5 1.078200+2 4.721690+5 1.108230+2 3.772250+5500023546 1991 1.139100+2 3.013720+5 1.171470+2 2.471130+5 1.204760+2 2.026220+5500023546 1992 1.256470+2 1.592780+5 1.312120+2 1.332310+5 1.351470+2 1.239140+5500023546 1993 1.400250+2 1.207950+5 1.425300+2 1.226400+5 1.599710+2 1.613800+5500023546 1994 1.795470+2 2.123570+5 2.000000+2 2.589200+5 2.213360+2 2.883070+5500023546 1995 2.388200+2 2.984770+5 2.676670+2 2.968880+5 3.000000+2 2.814400+5500023546 1996 3.464100+2 2.526160+5 4.000000+2 2.174800+5 4.532730+2 1.822940+5500023546 1997 5.136400+2 1.528000+5 5.551430+2 1.337990+5 6.000000+2 1.171600+5500023546 1998 6.382850+2 1.038340+5 7.003410+2 8.663210+4 7.684300+2 7.228000+4500023546 1999 8.207360+2 6.248150+4 9.059450+2 5.021710+4 1.000000+3 4.036000+4500023546 2000 1.078990+3 3.350060+4 1.142300+3 2.913260+4 1.244300+3 2.362480+4500023546 2001 1.355400+3 1.915830+4 1.425870+3 1.679600+4 1.500000+3 1.472500+4500023546 2002 1.611850+3 1.209830+4 1.701190+3 1.044060+4 1.844550+3 8.370031+3500023546 2003 2.000000+3 6.710100+3 2.103980+3 5.774630+3 2.199390+3 5.063730+3500023546 2004 2.376880+3 4.023710+3 2.519330+3 3.386440+3 2.631750+3 2.975640+3500023546 2005 2.809850+3 2.450960+3 3.000000+3 2.018800+3 3.127940+3 1.766260+3500023546 2006 3.365090+3 1.397940+3 3.554690+3 1.173040+3 3.703860+3 1.028450+3500023546 2007 3.939440+3 8.442800+2 4.190000+3 6.930900+2 4.382340+3 5.949560+2500023546 2008 4.557870+3 5.205570+2 4.882130+3 4.120400+2 5.140370+3 3.457750+2500023546 2009 5.342980+3 3.031680+2 5.661970+3 2.488960+2 6.000000+3 2.043400+2500023546 2010 6.219690+3 1.797300+2 6.623670+3 1.435770+2 6.943790+3 1.213200+2500023546 2011 7.193991+3 1.069230+2 7.586300+3 8.846590+1 8.000000+3 7.319500+1500023546 2012 8.458970+3 5.956590+1 8.820401+3 5.103690+1 9.391701+3 4.047760+1500023546 2013 1.000000+4 3.210300+1 1.051990+4 2.642880+1 1.099690+4 2.229290+1500023546 2014 1.143200+4 1.920860+1 1.182690+4 1.686190+1 1.255090+4 1.342390+1500023546 2015 1.312290+4 1.131380+1 1.356890+4 9.951860+0 1.426650+4 8.210110+0500023546 2016 1.500000+4 6.773200+0 1.554920+4 5.871460+0 1.655920+4 4.572600+0500023546 2017 1.735950+4 3.790760+0 1.798500+4 3.293420+0 1.896570+4 2.667050+0500023546 2018 2.000000+4 2.159800+0 2.103980+4 1.756870+0 2.199390+4 1.466480+0500023546 2019 2.286410+4 1.252040+0 2.365370+4 1.090290+0 2.510180+4 8.558800-1500023546 2020 2.624580+4 7.137810-1 2.713780+4 6.229150-1 2.853300+4 5.078380-1500023546 2021 3.000000+4 4.140200-1 3.132820+4 3.456020-1 3.262680+4 2.917650-1500023546 2022 3.389300+4 2.489360-1 3.512470+4 2.145120-1 3.632000+4 1.865750-1500023546 2023 3.747760+4 1.636980-1 3.974840+4 1.280930-1 4.184790+4 1.033530-1500023546 2024 4.377570+4 8.565820-2 4.553520+4 7.267920-2 4.713280+4 6.294640-2500023546 2025 5.006450+4 4.894440-2 5.238240+4 4.052770-2 5.419100+4 3.517940-2500023546 2026 5.702160+4 2.845070-2 6.000000+4 2.300900-2 6.194650+4 2.014310-2500023546 2027 6.576800+4 1.569660-2 6.930470+4 1.261900-2 7.255500+4 1.042540-2500023546 2028 7.552379+4 8.821160-3 7.822100+4 7.621320-3 8.066000+4 6.706120-3500023546 2029 8.511250+4 5.360970-3 8.861250+4 4.532340-3 9.413420+4 3.523230-3500023546 2030 1.000000+5 2.738800-3 1.051990+5 2.226970-3 1.099690+5 1.858230-3500023546 2031 1.143200+5 1.586030-3 1.182690+5 1.380770-3 1.255090+5 1.083400-3500023546 2032 1.312290+5 9.032120-4 1.356890+5 7.880250-4 1.426650+5 6.421940-4500023546 2033 1.500000+5 5.233500-4 1.554920+5 4.538840-4 1.655920+5 3.537630-4500023546 2034 1.735950+5 2.934530-4 1.798500+5 2.550690-4 1.896570+5 2.066980-4500023546 2035 2.000000+5 1.675000-4 2.103980+5 1.382700-4 2.199390+5 1.169100-4500023546 2036 2.286410+5 1.009450-4 2.365370+5 8.877410-5 2.510180+5 7.089940-5500023546 2037 2.624580+5 5.989770-5 2.713780+5 5.278190-5 2.853300+5 4.366150-5500023546 2038 3.000000+5 3.611700-5 3.109840+5 3.177040-5 3.311840+5 2.538450-5500023546 2039 3.471900+5 2.145240-5 3.597000+5 1.890850-5 3.793150+5 1.564700-5500023546 2040 4.000000+5 1.294800-5 4.229490+5 1.072130-5 4.410200+5 9.306390-6500023546 2041 4.695850+5 7.526300-6 5.000000+5 6.086700-6 5.233180+5 5.265270-6500023546 2042 5.603490+5 4.236230-6 6.000000+5 3.408300-6 6.447420+5 2.746760-6500023546 2043 6.804750+5 2.336320-6 7.378210+5 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1.374100+4-3.541100-1500027506 2659 1.437210+4-4.384530-1 1.473460+4-4.929870-1 1.500000+4-5.381540-1500027506 2660 1.625430+4-7.091030-1 1.771420+4-9.504270-1 1.920700+4-1.177610+0500027506 2661 2.103980+4-1.489160+0 2.156100+4-1.583250+0 2.318170+4-1.920340+0500027506 2662 2.447070+4-2.260060+0 2.528130+4-2.521070+0 2.668810+4-3.144830+0500027506 2663 2.731570+4-3.551550+0 2.806690+4-4.324730+0 2.834480+4-4.789580+0500027506 2664 2.852090+4-5.210430+0 2.859940+4-5.453290+0 2.867670+4-5.735610+0500027506 2665 2.873000+4-5.957010+0 2.878410+4-6.202670+0 2.882040+4-6.374890+0500027506 2666 2.885380+4-6.537910+0 2.889380+4-6.732980+0 2.894490+4-6.971660+0500027506 2667 2.900560+4-7.222900+0 2.906390+4-7.416510+0 2.916540+4-7.554100+0500027506 2668 2.926700+4-7.438480+0 2.936480+4-7.105930+0 2.949200+4-6.505340+0500027506 2669 2.961520+4-5.875710+0 2.973550+4-5.317130+0 2.989060+4-4.777620+0500027506 2670 3.019120+4-4.101450+0 3.047290+4-3.642410+0 3.100130+4-3.000180+0500027506 2671 3.146350+4-2.569520+0 3.227250+4-1.981060+0 3.292560+4-1.607020+0500027506 2672 3.381560+4-1.191180+0 3.469950+4-8.722690-1 3.567070+4-5.966910-1500027506 2673 3.615630+4-4.787270-1 3.800450+4-1.518160-1 3.878620+4-4.030590-2500027506 2674 3.902640+4-5.756210-3 3.994270+4 8.205890-2 4.107990+4 1.920230-1500027506 2675 4.184790+4 2.616060-1 4.246770+4 3.028460-1 4.292930+4 3.160160-1500027506 2676 4.512520+4 4.385070-1 4.586800+4 4.686860-1 4.617570+4 4.716330-1500027506 2677 4.653750+4 4.771080-1 4.958150+4 5.817480-1 5.004740+4 5.920540-1500027506 2678 5.121040+4 5.993670-1 5.327900+4 6.289430-1 5.542310+4 6.421570-1500027506 2679 5.705650+4 6.607540-1 6.288050+4 6.661570-1 6.820750+4 6.596190-1500027506 2680 7.255500+4 6.334450-1 7.789840+4 6.083690-1 8.511250+4 5.701890-1500027506 2681 9.166590+4 5.297770-1 9.854410+4 4.928940-1 1.055300+5 4.590500-1500027506 2682 1.145030+5 4.181250-1 1.242160+5 3.775820-1 1.334400+5 3.443700-1500027506 2683 1.433110+5 3.118920-1 1.557640+5 2.772900-1 1.697400+5 2.450760-1500027506 2684 1.826110+5 2.184310-1 1.940270+5 1.983350-1 2.103980+5 1.737470-1500027506 2685 2.242480+5 1.561360-1 2.397580+5 1.395640-1 2.631750+5 1.191580-1500027506 2686 2.804270+5 1.062990-1 3.024100+5 9.258400-2 3.236630+5 8.103420-2500027506 2687 3.435560+5 7.167750-2 3.764490+5 5.934920-2 4.068870+5 5.031630-2500027506 2688 4.410200+5 4.210560-2 4.657060+5 3.698200-2 5.101890+5 2.950320-2500027506 2689 5.507460+5 2.402360-2 5.882690+5 1.987920-2 6.366850+5 1.555490-2500027506 2690 6.865110+5 1.186880-2 7.507910+5 8.200190-3 8.137740+5 5.394540-3500027506 2691 8.820400+5 3.026730-3 9.101570+5 2.263340-3 9.806770+5 4.281510-4500027506 2692 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0500027506 2693 500027 0 2694 5000 0 0 2695 0 0 0 2696 5.100000+4 1.207040+2 -1 0 2 25100 1451 1 0.000000+0 0.000000+0 0 0 0 65100 1451 2 0.000000+0 0.000000+0 0 0 3 25100 1451 3 0.000000+0 0.000000+0 0 0 141 295100 1451 4 51-SB LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5100 1451 6 ----JEF-2 MATERIAL 5100 REVISION 0 5100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5100 1451 8 ------ENDF-6 FORMAT 5100 1451 9 ******************************************************************5100 1451 10 * JEF-2 *5100 1451 11 * DATA TAKEN FROM EPDL *5100 1451 12 ******************************************************************5100 1451 13 =================================================================5100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5100 1451 15 ENDF/B-VI FORMAT 5100 1451 16 =================================================================5100 1451 17 CONTENTS 5100 1451 18 =================================================================5100 1451 19 MF/MT DESCRIPTION 5100 1451 20 =================================================================5100 1451 21 23/501 TOTAL CROSS SECTION 5100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 45 =================================================================5100 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 5100 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 5100 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5100 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 5100 1451 50 =================================================================5100 1451 51 WARNING 5100 1451 52 =================================================================5100 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5100 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5100 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5100 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5100 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5100 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5100 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5100 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5100 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5100 1451 62 =================================================================5100 1451 63 DEFINITION OF NEW TYPES OF DATA 5100 1451 64 =================================================================5100 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5100 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5100 1451 67 5100 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5100 1451 69 C2 FIELDS ARE, 5100 1451 70 5100 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5100 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5100 1451 73 5100 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5100 1451 75 5100 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5100 1451 77 5100 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5100 1451 79 T = THE THOMSON CROSS SECTION 5100 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 5100 1451 81 FF(M) = THE ATOMIC FORM FACTOR 5100 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5100 1451 83 F1(E) = THE REAL SCATTERING FACTOR 5100 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 5100 1451 85 5100 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 5100 1451 87 5100 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5100 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5100 1451 90 =================================================================5100 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5100 1451 92 =================================================================5100 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5100 1451 94 HERE - 10 EV TO 100 MEV 5100 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5100 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 5100 1451 97 HERE - PHOTON INTERACTION 5100 1451 98 - AVERAGE FLUORESCENCE YIELD 5100 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5100 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5100 1451 101 HERE - NO SECONDARY ENERGY DATA 5100 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5100 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 5100 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 5100 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 5100 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5100 1451 107 - SCATTERING FACTORS LINEARLY INTERPOLABLE5100 1451 108 (SINCE THEY CAN BE NEGATIVE). 5100 1451 109 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5100 1451 110 ORDER TO ALLOW CROSS SECTIONS DEFINED 5100 1451 111 BY SUMMATION (E.G., TOTAL) TO BE 5100 1451 112 CONSISTENTLY DEFINED AT ALL ENERGIES. 5100 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 5100 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5100 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE5100 1451 116 =================================================================5100 1451 117 REFERENCES 5100 1451 118 =================================================================5100 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5100 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5100 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5100 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5100 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5100 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5100 1451 125 5100 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5100 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5100 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5100 1451 129 OF THE DATA, ETC. 5100 1451 130 =================================================================5100 1451 131 HISTORY 5100 1451 132 =================================================================5100 1451 133 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5100 1451 134 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5100 1451 135 CROSS SECTIONS. 5100 1451 136 =================================================================5100 1451 137 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5100 1451 138 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5100 1451 139 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5100 1451 140 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5100 1451 141 *RECONSTRUCTED MT NUMBERS 5100 1451 142 516 =+(515,515)+(517,517) 5100 1451 143 522 =+(534,572) 5100 1451 144 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5100 1451 145 1 451 174 15100 1451 146 23 501 500 15100 1451 147 23 502 142 15100 1451 148 23 504 30 15100 1451 149 23 515 30 15100 1451 150 23 516 58 15100 1451 151 23 517 41 15100 1451 152 23 522 324 25100 1451 153 23 534 37 25100 1451 154 23 535 44 25100 1451 155 23 536 50 25100 1451 156 23 537 51 25100 1451 157 23 538 50 25100 1451 158 23 539 55 25100 1451 159 23 540 57 25100 1451 160 23 541 75 25100 1451 161 23 542 77 25100 1451 162 23 543 55 25100 1451 163 23 544 60 25100 1451 164 23 545 61 25100 1451 165 23 546 86 25100 1451 166 23 547 85 25100 1451 167 23 550 66 25100 1451 168 23 551 73 25100 1451 169 23 552 73 25100 1451 170 27 502 48 15100 1451 171 27 504 42 15100 1451 172 27 505 117 15100 1451 173 27 506 117 15100 1451 174 5100 1 0 175 5100 0 0 176 5.100000+4 1.207040+2 0 0 0 0510023501 177 0.000000+0 0.000000+0 0 0 1 1490510023501 178 1490 2 0 0 0 0510023501 179 1.000000+1 3.317120+7 1.065400+1 2.881440+7 1.086710+1 2.752070+7510023501 180 1.117250+1 2.565980+7 1.149440+1 2.386160+7 1.154780+1 2.356330+7510023501 181 1.180930+1 2.210250+7 1.199790+1 2.101690+7 1.242870+1 1.874330+7510023501 182 1.260460+1 1.781500+7 1.286400+1 1.653770+7 1.288420+1 1.643820+7510023501 183 1.333500+1 1.429970+7 1.343890+1 1.397900+7 1.357550+1 1.355740+7510023501 184 1.378810+1 1.296990+7 1.447460+1 1.106440+7 1.462280+1 1.070060+7510023501 185 1.468260+1 1.055380+7 1.512470+1 9.596860+6 1.514910+1 9.544050+6510023501 186 1.560490+1 8.669890+6 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9.877110-2 1.213370+5 7.830270-2510023544 1902 1.291590+5 6.390430-2 1.364150+5 5.349510-2 1.430980+5 4.578780-2510023544 1903 1.492130+5 3.996060-2 1.605510+5 3.149010-2 1.696160+5 2.633790-2510023544 1904 1.767490+5 2.303490-2 1.880160+5 1.884060-2 2.000000+5 1.541000-2510023544 1905 2.103980+5 1.316000-2 2.199390+5 1.146240-2 2.376880+5 9.001400-3510023544 1906 2.519330+5 7.509080-3 2.631750+5 6.554570-3 2.809850+5 5.345400-3510023544 1907 3.000000+5 4.359300-3 3.223710+5 3.523230-3 3.402370+5 3.003200-3510023544 1908 3.689100+5 2.363460-3 4.000000+5 1.860000-3 4.229490+5 1.589720-3510023544 1909 4.598630+5 1.256110-3 5.000000+5 9.925200-4 5.233180+5 8.784550-4510023544 1910 5.603490+5 7.314590-4 6.000000+5 6.090600-4 6.447420+5 5.083080-4510023544 1911 6.804750+5 4.438410-4 7.378210+5 3.621410-4 8.000000+5 2.954800-4510023544 1912 8.458970+5 2.596410-4 9.197270+5 2.138650-4 1.000000+6 1.761600-4510023544 1913 1.022000+6 1.682680-4 1.102170+6 1.444610-4 1.188630+6 1.240220-4510023544 1914 1.250000+6 1.127170-4 1.369310+6 9.553800-5 1.500000+6 8.097730-5510023544 1915 1.611850+6 7.153160-5 1.795470+6 5.938820-5 2.000000+6 4.930630-5510023544 1916 2.044000+6 4.756690-5 2.249780+6 4.097330-5 2.417610+6 3.663510-5510023544 1917 2.693110+6 3.097370-5 3.000000+6 2.618720-5 3.464100+6 2.132150-5510023544 1918 4.000000+6 1.735990-5 4.472140+6 1.493270-5 5.000000+6 1.284480-5510023544 1919 5.477230+6 1.141340-5 6.000000+6 1.014150-5 7.000000+6 8.353800-6510023544 1920 8.000000+6 7.090340-6 9.000000+6 6.153020-6 1.000000+7 5.430700-6510023544 1921 1.100000+7 4.858150-6 1.200000+7 4.391910-6 1.300000+7 4.007800-6510023544 1922 1.400000+7 3.684080-6 1.500000+7 3.408680-6 1.600000+7 3.169520-6510023544 1923 1.800000+7 2.780570-6 2.000000+7 2.476190-6 2.200000+7 2.232670-6510023544 1924 2.400000+7 2.031680-6 2.600000+7 1.863780-6 2.800000+7 1.721490-6510023544 1925 3.000000+7 1.599250-6 3.464100+7 1.373790-6 4.000000+7 1.180110-6510023544 1926 4.472140+7 1.050240-6 5.000000+7 9.346690-7 6.000000+7 7.737780-7510023544 1927 6.928200+7 6.672810-7 8.000000+7 5.754410-7 8.944271+7 5.133920-7510023544 1928 1.000000+8 4.580340-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0510023544 1929 510023 0 1930 5.100000+4 1.207040+2 0 0 0 0510023545 1931 1.081200+2 0.000000+0 0 0 1 173510023545 1932 173 2 0 0 0 0510023545 1933 1.081200+2 0.000000+0 1.081200+2 4.976830+5 1.205240+2 4.362860+5510023545 1934 1.343520+2 3.824640+5 1.422040+2 3.504930+5 1.500000+2 3.313590+5510023545 1935 1.614300+2 3.187670+5 2.000000+2 2.982190+5 2.449490+2 2.742260+5510023545 1936 3.000000+2 2.414540+5 3.464100+2 2.122890+5 4.000000+2 1.866470+5510023545 1937 4.727540+2 1.534050+5 5.587400+2 1.260840+5 6.111950+2 1.109330+5510023545 1938 6.992540+2 9.155020+4 8.000000+2 7.555420+4 8.944270+2 6.314150+4510023545 1939 1.000000+3 5.276800+4 1.106680+3 4.406400+4 1.194100+3 3.849180+4510023545 1940 1.338340+3 3.142650+4 1.500000+3 2.565800+4 1.611850+3 2.230330+4510023545 1941 1.795470+3 1.807540+4 2.000000+3 1.464900+4 2.213360+3 1.182820+4510023545 1942 2.388200+3 1.007520+4 2.528320+3 8.933090+3 2.754080+3 7.458070+3510023545 1943 3.000000+3 6.226600+3 3.304630+3 4.982740+3 3.553240+3 4.215810+3510023545 1944 3.751890+3 3.719120+3 4.070880+3 3.081620+3 4.417000+3 2.553400+3510023545 1945 4.768520+3 2.111760+3 5.050390+3 1.831430+3 5.504760+3 1.479130+3510023545 1946 6.000000+3 1.194600+3 6.447420+3 9.892110+2 6.804750+3 8.586950+2510023545 1947 7.378210+3 6.944870+2 8.000000+3 5.616800+2 8.458970+3 4.820660+2510023545 1948 9.197270+3 3.832940+2 1.000000+4 3.047600+2 1.051990+4 2.633740+2510023545 1949 1.099690+4 2.317990+2 1.188440+4 1.853760+2 1.259670+4 1.567690+2510023545 1950 1.315870+4 1.382500+2 1.404920+4 1.144920+2 1.500000+4 9.481600+1510023545 1951 1.611850+4 7.627670+1 1.701190+4 6.479240+1 1.844550+4 5.072510+1510023545 1952 2.000000+4 3.971200+1 2.109970+4 3.353490+1 2.211140+4 2.892350+1510023545 1953 2.303630+4 2.541180+1 2.474910+4 2.026090+1 2.611670+4 1.709530+1510023545 1954 2.719180+4 1.505010+1 2.888800+4 1.243180+1 3.069000+4 1.026900+1510023545 1955 3.262070+4 8.397430+0 3.440950+4 7.041860+0 3.605490+4 6.036500+0510023545 1956 3.755910+4 5.275290+0 4.034400+4 4.166810+0 4.256740+4 3.491170+0510023545 1957 4.431490+4 3.057360+0 4.707170+4 2.505590+0 5.000000+4 2.053400+0510023545 1958 5.221370+4 1.771040+0 5.437800+4 1.541690+0 5.648840+4 1.353730+0510023545 1959 6.066860+4 1.060860+0 6.457930+4 8.570750-1 6.820750+4 7.111470-1510023545 1960 7.154890+4 6.039940-1 7.460660+4 5.235660-1 7.738920+4 4.620280-1510023545 1961 8.251070+4 3.712250-1 8.657300+4 3.150380-1 9.304460+4 2.462940-1510023545 1962 1.000000+5 1.925500-1 1.044270+5 1.661550-1 1.087560+5 1.447050-1510023545 1963 1.129770+5 1.271180-1 1.213370+5 9.969800-2 1.291590+5 8.060400-2510023545 1964 1.364150+5 6.692180-2 1.430980+5 5.686930-2 1.492130+5 4.932010-2510023545 1965 1.547780+5 4.354140-2 1.650210+5 3.500970-2 1.731460+5 2.972710-2510023545 1966 1.860890+5 2.325950-2 2.000000+5 1.819900-2 2.103980+5 1.544140-2510023545 1967 2.199390+5 1.337360-2 2.286410+5 1.179270-2 2.447070+5 9.462390-3510023545 1968 2.574930+5 8.022180-3 2.675180+5 7.087790-3 2.832940+5 5.886250-3510023545 1969 3.000000+5 4.888400-3 3.223710+5 3.926980-3 3.402370+5 3.332180-3510023545 1970 3.542840+5 2.945980-3 3.764490+5 2.448960-3 4.000000+5 2.035800-3510023545 1971 4.229490+5 1.736180-3 4.598630+5 1.367370-3 5.000000+5 1.076900-3510023545 1972 5.233180+5 9.529180-4 5.603490+5 7.931860-4 6.000000+5 6.602300-4510023545 1973 6.447420+5 5.525360-4 6.804750+5 4.834590-4 7.378210+5 3.956930-4510023545 1974 8.000000+5 3.238600-4 8.458970+5 2.856080-4 9.197270+5 2.365330-4510023545 1975 1.000000+6 1.958900-4 1.022000+6 1.872380-4 1.102170+6 1.609150-4510023545 1976 1.188630+6 1.382920-4 1.250000+6 1.256420-4 1.369310+6 1.063660-4510023545 1977 1.500000+6 9.004680-5 1.611850+6 7.954320-5 1.795470+6 6.603970-5510023545 1978 2.000000+6 5.482860-5 2.044000+6 5.289440-5 2.249780+6 4.556230-5510023545 1979 2.417610+6 4.073820-5 2.693110+6 3.444270-5 3.000000+6 2.912010-5510023545 1980 3.464100+6 2.370950-5 4.000000+6 1.930420-5 4.472140+6 1.660510-5510023545 1981 5.000000+6 1.428340-5 5.477230+6 1.269170-5 6.000000+6 1.127730-5510023545 1982 7.000000+6 9.289430-6 8.000000+6 7.884470-6 9.000000+6 6.842160-6510023545 1983 1.000000+7 6.038940-6 1.100000+7 5.402270-6 1.200000+7 4.883800-6510023545 1984 1.300000+7 4.456670-6 1.400000+7 4.096700-6 1.500000+7 3.790450-6510023545 1985 1.600000+7 3.524500-6 1.800000+7 3.092000-6 2.000000+7 2.753520-6510023545 1986 2.200000+7 2.482730-6 2.400000+7 2.259230-6 2.600000+7 2.072530-6510023545 1987 2.800000+7 1.914300-6 3.000000+7 1.778370-6 3.464100+7 1.527660-6510023545 1988 4.000000+7 1.312290-6 4.472140+7 1.167870-6 5.000000+7 1.039350-6510023545 1989 6.000000+7 8.604410-7 6.928200+7 7.420160-7 8.000000+7 6.398910-7510023545 1990 8.944271+7 5.708920-7 1.000000+8 5.093340-7 0.000000+0 0.000000+0510023545 1991 510023 0 1992 5.100000+4 1.207040+2 0 0 0 0510023546 1993 4.187000+1 0.000000+0 0 0 1 247510023546 1994 247 2 0 0 0 0510023546 1995 4.187000+1 0.000000+0 4.187000+1 9.926040+5 4.280910+1 1.198160+6510023546 1996 4.425750+1 1.589010+6 4.575480+1 2.107350+6 4.678110+1 2.576980+6510023546 1997 4.756580+1 2.996690+6 4.876770+1 3.757830+6 5.000000+1 4.712300+6510023546 1998 5.100710+1 5.694800+6 5.255590+1 7.565640+6 5.415170+1 1.005110+7510023546 1999 5.609480+1 1.341570+7 5.745940+1 1.578160+7 5.914090+1 1.825610+7510023546 2000 6.000000+1 1.916920+7 6.116730+1 1.990630+7 6.326510+1 1.987730+7510023546 2001 6.488550+1 1.895110+7 6.739430+1 1.668940+7 7.000000+1 1.408890+7510023546 2002 7.237630+1 1.186330+7 7.483320+1 9.989320+6 7.737350+1 8.183680+6510023546 2003 8.000000+1 6.704430+6 8.178640+1 5.751010+6 8.454110+1 4.568970+6510023546 2004 8.738850+1 3.629880+6 9.038380+1 2.800500+6 9.269750+1 2.305390+6510023546 2005 9.447150+1 1.992390+6 9.719650+1 1.600740+6 1.000000+2 1.286080+6510023546 2006 1.022370+2 1.069690+6 1.042350+2 9.104420+5 1.060160+2 7.906720+5510023546 2007 1.092050+2 6.177280+5 1.116600+2 5.133320+5 1.135370+2 4.467860+5510023546 2008 1.164120+2 3.627860+5 1.193600+2 2.945790+5 1.218360+2 2.541990+5510023546 2009 1.243630+2 2.193550+5 1.287100+2 1.800330+5 1.337310+2 1.526880+5510023546 2010 1.393280+2 1.369180+5 1.445660+2 1.321000+5 1.500000+2 1.355290+5510023546 2011 1.641720+2 1.692000+5 1.796830+2 2.112360+5 2.000000+2 2.599770+5510023546 2012 2.213360+2 2.936580+5 2.388200+2 3.079110+5 2.676670+2 3.123590+5510023546 2013 3.000000+2 3.012190+5 3.464100+2 2.742760+5 4.000000+2 2.384150+5510023546 2014 4.472140+2 2.056170+5 5.000000+2 1.773310+5 5.477230+2 1.527680+5510023546 2015 6.000000+2 1.316080+5 6.400410+2 1.163250+5 7.051670+2 9.666370+4510023546 2016 7.769200+2 8.032520+4 8.275270+2 7.002860+4 9.096850+2 5.700470+4510023546 2017 1.000000+3 4.640300+4 1.078990+3 3.862050+4 1.142300+3 3.365290+4510023546 2018 1.244300+3 2.737340+4 1.355400+3 2.226560+4 1.425870+3 1.955310+4510023546 2019 1.500000+3 1.717100+4 1.611850+3 1.413940+4 1.701190+3 1.222250+4510023546 2020 1.844550+3 9.823140+3 2.000000+3 7.894800+3 2.103980+3 6.805040+3510023546 2021 2.199390+3 5.975640+3 2.376880+3 4.759960+3 2.519330+3 4.013450+3510023546 2022 2.631750+3 3.531450+3 2.809850+3 2.914780+3 3.000000+3 2.405800+3510023546 2023 3.148630+3 2.062440+3 3.284720+3 1.802450+3 3.537160+3 1.423820+3510023546 2024 3.739150+3 1.193020+3 3.898180+3 1.044830+3 4.149490+3 8.563240+2510023546 2025 4.417000+3 7.018300+2 4.589390+3 6.164180+2 4.907430+3 4.911920+2510023546 2026 5.160340+3 4.142700+2 5.358540+3 3.645920+2 5.670210+3 3.010180+2510023546 2027 6.000000+3 2.485300+2 6.219690+3 2.187970+2 6.623670+3 1.750650+2510023546 2028 6.943790+3 1.481050+2 7.193991+3 1.306460+2 7.586300+3 1.082400+2510023546 2029 8.000000+3 8.967600+1 8.458970+3 7.308430+1 8.820401+3 6.268810+1510023546 2030 9.391701+3 4.979960+1 1.000000+4 3.956100+1 1.051990+4 3.260990+1510023546 2031 1.099690+4 2.753730+1 1.143200+4 2.375050+1 1.182690+4 2.086670+1510023546 2032 1.255090+4 1.663690+1 1.312290+4 1.403730+1 1.356890+4 1.235790+1510023546 2033 1.426650+4 1.020790+1 1.500000+4 8.431900+0 1.554920+4 7.314750+0510023546 2034 1.655920+4 5.704000+0 1.735950+4 4.733300+0 1.798500+4 4.115320+0510023546 2035 1.896570+4 3.336270+0 2.000000+4 2.704700+0 2.109970+4 2.176640+0510023546 2036 2.211140+4 1.799880+0 2.303630+4 1.524120+0 2.387740+4 1.317720+0510023546 2037 2.463840+4 1.160190+0 2.602910+4 9.284500-1 2.712340+4 7.855640-1510023546 2038 2.885160+4 6.113880-1 3.069000+4 4.758300-1 3.258390+4 3.709570-1510023546 2039 3.446540+4 2.937330-1 3.632790+4 2.360030-1 3.816520+4 1.922310-1510023546 2040 3.997210+4 1.585970-1 4.174360+4 1.324310-1 4.347570+4 1.118350-1510023546 2041 4.516470+4 9.544500-2 4.680770+4 8.226800-2 4.840230+4 7.157170-2510023546 2042 4.994650+4 6.281050-2 5.297580+4 4.917020-2 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0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0510027506 2708 510027 0 2709 5100 0 0 2710 0 0 0 2711 5.200000+4 1.265040+2 -1 0 2 25200 1451 1 0.000000+0 0.000000+0 0 0 0 65200 1451 2 0.000000+0 0.000000+0 0 0 3 25200 1451 3 0.000000+0 0.000000+0 0 0 141 295200 1451 4 52-TE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5200 1451 6 ----JEF-2 MATERIAL 5200 REVISION 0 5200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5200 1451 8 ------ENDF-6 FORMAT 5200 1451 9 ******************************************************************5200 1451 10 * JEF-2 *5200 1451 11 * DATA TAKEN FROM EPDL *5200 1451 12 ******************************************************************5200 1451 13 =================================================================5200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5200 1451 15 ENDF/B-VI FORMAT 5200 1451 16 =================================================================5200 1451 17 CONTENTS 5200 1451 18 =================================================================5200 1451 19 MF/MT DESCRIPTION 5200 1451 20 =================================================================5200 1451 21 23/501 TOTAL CROSS SECTION 5200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 45 =================================================================5200 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 5200 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 5200 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5200 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 5200 1451 50 =================================================================5200 1451 51 WARNING 5200 1451 52 =================================================================5200 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5200 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5200 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5200 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5200 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5200 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5200 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5200 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5200 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5200 1451 62 =================================================================5200 1451 63 DEFINITION OF NEW TYPES OF DATA 5200 1451 64 =================================================================5200 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5200 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5200 1451 67 5200 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5200 1451 69 C2 FIELDS ARE, 5200 1451 70 5200 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5200 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5200 1451 73 5200 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5200 1451 75 5200 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5200 1451 77 5200 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5200 1451 79 T = THE THOMSON CROSS SECTION 5200 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 5200 1451 81 FF(M) = THE ATOMIC FORM FACTOR 5200 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5200 1451 83 F1(E) = THE REAL SCATTERING FACTOR 5200 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 5200 1451 85 5200 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 5200 1451 87 5200 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5200 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5200 1451 90 =================================================================5200 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5200 1451 92 =================================================================5200 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5200 1451 94 HERE - 10 EV TO 100 MEV 5200 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5200 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 5200 1451 97 HERE - PHOTON INTERACTION 5200 1451 98 - AVERAGE FLUORESCENCE YIELD 5200 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5200 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5200 1451 101 HERE - NO SECONDARY ENERGY DATA 5200 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5200 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 5200 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 5200 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 5200 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5200 1451 107 - SCATTERING FACTORS LINEARLY INTERPOLABLE5200 1451 108 (SINCE THEY CAN BE NEGATIVE). 5200 1451 109 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5200 1451 110 ORDER TO ALLOW CROSS SECTIONS DEFINED 5200 1451 111 BY SUMMATION (E.G., TOTAL) TO BE 5200 1451 112 CONSISTENTLY DEFINED AT ALL ENERGIES. 5200 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 5200 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5200 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE5200 1451 116 =================================================================5200 1451 117 REFERENCES 5200 1451 118 =================================================================5200 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5200 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5200 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5200 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5200 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5200 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5200 1451 125 5200 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5200 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5200 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5200 1451 129 OF THE DATA, ETC. 5200 1451 130 =================================================================5200 1451 131 HISTORY 5200 1451 132 =================================================================5200 1451 133 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5200 1451 134 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5200 1451 135 CROSS SECTIONS. 5200 1451 136 =================================================================5200 1451 137 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5200 1451 138 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5200 1451 139 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5200 1451 140 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5200 1451 141 *RECONSTRUCTED MT NUMBERS 5200 1451 142 516 =+(515,515)+(517,517) 5200 1451 143 522 =+(534,572) 5200 1451 144 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5200 1451 145 1 451 174 15200 1451 146 23 501 489 15200 1451 147 23 502 140 15200 1451 148 23 504 32 15200 1451 149 23 515 30 15200 1451 150 23 516 58 15200 1451 151 23 517 41 15200 1451 152 23 522 316 25200 1451 153 23 534 37 25200 1451 154 23 535 44 25200 1451 155 23 536 50 25200 1451 156 23 537 51 25200 1451 157 23 538 49 25200 1451 158 23 539 54 25200 1451 159 23 540 56 25200 1451 160 23 541 74 25200 1451 161 23 542 75 25200 1451 162 23 543 55 25200 1451 163 23 544 58 25200 1451 164 23 545 61 25200 1451 165 23 546 86 25200 1451 166 23 547 86 25200 1451 167 23 550 65 25200 1451 168 23 551 71 25200 1451 169 23 552 72 25200 1451 170 27 502 49 15200 1451 171 27 504 43 15200 1451 172 27 505 118 15200 1451 173 27 506 118 15200 1451 174 5200 1 0 175 5200 0 0 176 5.200000+4 1.265040+2 0 0 0 0520023501 177 0.000000+0 0.000000+0 0 0 1 1457520023501 178 1457 2 0 0 0 0520023501 179 1.000000+1 6.410000+7 1.065400+1 5.367230+7 1.069040+1 5.320280+7520023501 180 1.117250+1 4.698510+7 1.154780+1 4.312240+7 1.172590+1 4.128930+7520023501 181 1.199790+1 3.848970+7 1.288420+1 3.153620+7 1.293800+1 3.118190+7520023501 182 1.321580+1 2.935200+7 1.390190+1 2.483270+7 1.418850+1 2.345550+7520023501 183 1.499770+1 1.956690+7 1.500000+1 1.955580+7 1.536320+1 1.802670+7520023501 184 1.556520+1 1.717620+7 1.566410+1 1.681320+7 1.631340+1 1.461810+7520023501 185 1.668290+1 1.345230+7 1.674800+1 1.328010+7 1.688590+1 1.291540+7520023501 186 1.694650+1 1.275520+7 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2.823600+1520023544 1865 2.121270+4 2.360490+1 2.233400+4 2.018020+1 2.336360+4 1.759380+1520023544 1866 2.528100+4 1.383950+1 2.682160+4 1.155950+1 2.803840+4 1.009960+1520023544 1867 2.996780+4 8.248010+0 3.203000+4 6.735900+0 3.331150+4 5.943980+0520023544 1868 3.585410+4 4.701440+0 3.823760+4 3.829260+0 4.045270+4 3.199920+0520023544 1869 4.249600+4 2.734700+0 4.436840+4 2.383460+0 4.784570+4 1.873840+0520023544 1870 5.063140+4 1.564500+0 5.282660+4 1.366490+0 5.629920+4 1.115460+0520023544 1871 6.000000+4 9.105500-1 6.353640+4 7.552800-1 6.704080+4 6.338510-1520023544 1872 7.050160+4 5.378040-1 7.390810+4 4.610210-1 7.725110+4 3.990240-1520023544 1873 8.052229+4 3.484960-1 8.371479+4 3.069520-1 9.004579+4 2.419400-1520023544 1874 9.597690+4 1.964570-1 1.014860+5 1.637310-1 1.065660+5 1.396000-1520023544 1875 1.112180+5 1.214220-1 1.198550+5 9.511850-2 1.267690+5 7.920310-2520023544 1876 1.322160+5 6.903980-2 1.408280+5 5.618700-2 1.500000+5 4.572700-2520023544 1877 1.611850+5 3.630270-2 1.701190+5 3.053250-2 1.771420+5 2.681520-2520023544 1878 1.882240+5 2.207030-2 2.000000+5 1.816500-2 2.103980+5 1.552040-2520023544 1879 2.199390+5 1.352410-2 2.376880+5 1.062850-2 2.519330+5 8.871490-3520023544 1880 2.631750+5 7.747090-3 2.809850+5 6.321970-3 3.000000+5 5.159000-3520023544 1881 3.223710+5 4.172250-3 3.402370+5 3.558140-3 3.689100+5 2.802220-3520023544 1882 4.000000+5 2.206900-3 4.229490+5 1.886990-3 4.598630+5 1.491940-3520023544 1883 5.000000+5 1.179600-3 5.233180+5 1.044100-3 5.603490+5 8.694730-4520023544 1884 6.000000+5 7.240500-4 6.447420+5 6.046300-4 6.804750+5 5.281790-4520023544 1885 7.378210+5 4.312380-4 8.000000+5 3.520900-4 8.458970+5 3.094180-4520023544 1886 9.197270+5 2.549070-4 1.000000+6 2.100000-4 1.022000+6 2.005870-4520023544 1887 1.102170+6 1.721910-4 1.188630+6 1.478150-4 1.250000+6 1.343330-4520023544 1888 1.369310+6 1.138590-4 1.500000+6 9.650610-5 1.611850+6 8.524390-5520023544 1889 1.795470+6 7.076620-5 2.000000+6 5.874740-5 2.044000+6 5.666440-5520023544 1890 2.249780+6 4.879840-5 2.417610+6 4.362410-5 2.693110+6 3.687300-5520023544 1891 3.000000+6 3.116670-5 3.464100+6 2.537310-5 4.000000+6 2.065650-5520023544 1892 4.472140+6 1.776610-5 5.000000+6 1.528010-5 5.477230+6 1.357520-5520023544 1893 6.000000+6 1.206060-5 7.000000+6 9.932750-6 8.000000+6 8.429780-6520023544 1894 9.000000+6 7.311790-6 1.000000+7 6.452200-6 1.100000+7 5.771910-6520023544 1895 1.200000+7 5.218190-6 1.300000+7 4.759390-6 1.400000+7 4.377050-6520023544 1896 1.500000+7 4.047460-6 1.600000+7 3.765320-6 1.800000+7 3.303880-6520023544 1897 2.000000+7 2.942650-6 2.200000+7 2.652600-6 2.400000+7 2.412650-6520023544 1898 2.600000+7 2.213310-6 2.800000+7 2.044290-6 3.000000+7 1.899010-6520023544 1899 3.464100+7 1.631060-6 4.000000+7 1.400920-6 4.472140+7 1.246760-6520023544 1900 5.000000+7 1.109560-6 6.000000+7 9.183900-7 6.928200+7 7.921070-7520023544 1901 8.000000+7 6.831890-7 8.944271+7 6.094690-7 1.000000+8 5.437040-7520023544 1902 520023 0 1903 5.200000+4 1.265040+2 0 0 0 0520023545 1904 1.209200+2 0.000000+0 0 0 1 173520023545 1905 173 2 0 0 0 0520023545 1906 1.209200+2 0.000000+0 1.209200+2 4.246630+5 1.335900+2 4.005030+5520023545 1907 1.467850+2 3.623490+5 1.541140+2 3.408370+5 1.778200+2 3.188840+5520023545 1908 2.000000+2 3.078920+5 2.710810+2 2.693480+5 3.000000+2 2.522530+5520023545 1909 3.464100+2 2.227250+5 4.000000+2 1.966540+5 4.472140+2 1.738700+5520023545 1910 5.000000+2 1.537260+5 5.502820+2 1.360640+5 6.056200+2 1.204310+5520023545 1911 6.621390+2 1.057160+5 7.569600+2 8.694500+4 8.653600+2 7.150700+4520023545 1912 9.302470+2 6.363970+4 1.000000+3 5.663800+4 1.106680+3 4.737620+4520023545 1913 1.194100+3 4.143810+4 1.338340+3 3.389680+4 1.500000+3 2.772800+4520023545 1914 1.611850+3 2.412860+4 1.795470+3 1.958620+4 2.000000+3 1.589900+4520023545 1915 2.213360+3 1.285770+4 2.388200+3 1.096500+4 2.528320+3 9.730701+3520023545 1916 2.754080+3 8.134780+3 3.000000+3 6.800600+3 3.295800+3 5.486840+3520023545 1917 3.536640+3 4.670940+3 3.728760+3 4.139670+3 4.036660+3 3.453880+3520023545 1918 4.370000+3 2.881700+3 4.730410+3 2.371840+3 5.020100+3 2.049570+3520023545 1919 5.488220+3 1.646380+3 6.000000+3 1.322500+3 6.447420+3 1.096630+3520023545 1920 6.804750+3 9.529180+2 7.378210+3 7.718820+2 8.000000+3 6.252400+2520023545 1921 8.458970+3 5.371820+2 9.197270+3 4.277940+2 1.000000+4 3.406800+2520023545 1922 1.051990+4 2.947030+2 1.099690+4 2.595930+2 1.188440+4 2.079140+2520023545 1923 1.259670+4 1.760250+2 1.315870+4 1.553620+2 1.404920+4 1.288250+2520023545 1924 1.500000+4 1.068200+2 1.611850+4 8.604630+1 1.701190+4 7.316310+1520023545 1925 1.844550+4 5.736300+1 2.000000+4 4.497500+1 2.121270+4 3.736750+1520023545 1926 2.233400+4 3.177430+1 2.336360+4 2.757150+1 2.430340+4 2.435270+1520023545 1927 2.603990+4 1.959740+1 2.742320+4 1.665090+1 2.963720+4 1.304050+1520023545 1928 3.203000+4 1.021300+1 3.386360+4 8.504180+0 3.555400+4 7.245220+0520023545 1929 3.710210+4 6.297500+0 3.997530+4 4.927450+0 4.227520+4 4.099330+0520023545 1930 4.408660+4 3.570930+0 4.695030+4 2.903240+0 5.000000+4 2.360400+0520023545 1931 5.221370+4 2.036980+0 5.437800+4 1.774140+0 5.648840+4 1.558620+0520023545 1932 6.066860+4 1.222570+0 6.457930+4 9.885280-1 6.820750+4 8.208070-1520023545 1933 7.154890+4 6.975680-1 7.460660+4 6.050120-1 7.738920+4 5.341570-1520023545 1934 8.251070+4 4.295400-1 8.657300+4 3.647570-1 9.304460+4 2.854330-1520023545 1935 1.000000+5 2.233600-1 1.044270+5 1.928220-1 1.087560+5 1.679970-1520023545 1936 1.129770+5 1.476330-1 1.213370+5 1.158690-1 1.291590+5 9.373470-2520023545 1937 1.364150+5 7.786510-2 1.430980+5 6.619960-2 1.492130+5 5.743520-2520023545 1938 1.547780+5 5.072370-2 1.650210+5 4.081020-2 1.731460+5 3.466860-2520023545 1939 1.860890+5 2.714490-2 2.000000+5 2.125400-2 2.103980+5 1.804020-2520023545 1940 2.199390+5 1.562940-2 2.286410+5 1.378580-2 2.447070+5 1.106720-2520023545 1941 2.574930+5 9.386210-3 2.675180+5 8.295270-3 2.832940+5 6.891930-3520023545 1942 3.000000+5 5.726000-3 3.223710+5 4.601670-3 3.402370+5 3.905830-3520023545 1943 3.542840+5 3.453920-3 3.764490+5 2.872160-3 4.000000+5 2.388400-3520023545 1944 4.229490+5 2.037000-3 4.598630+5 1.604420-3 5.000000+5 1.263700-3520023545 1945 5.233180+5 1.118220-3 5.603490+5 9.307850-4 6.000000+5 7.747700-4520023545 1946 6.447420+5 6.484760-4 6.804750+5 5.674600-4 7.378210+5 4.645110-4520023545 1947 8.000000+5 3.802400-4 8.458970+5 3.353320-4 9.197270+5 2.777160-4520023545 1948 1.000000+6 2.300000-4 1.022000+6 2.198360-4 1.102170+6 1.889110-4520023545 1949 1.188630+6 1.623370-4 1.250000+6 1.474800-4 1.369310+6 1.248530-4520023545 1950 1.500000+6 1.056970-4 1.611850+6 9.336230-5 1.795470+6 7.750580-5520023545 1951 2.000000+6 6.434240-5 2.044000+6 6.206100-5 2.249780+6 5.344590-5520023545 1952 2.417610+6 4.777880-5 2.693110+6 4.038480-5 3.000000+6 3.413500-5520023545 1953 3.464100+6 2.778960-5 4.000000+6 2.262380-5 4.472140+6 1.945810-5520023545 1954 5.000000+6 1.673540-5 5.477230+6 1.486820-5 6.000000+6 1.320930-5520023545 1955 7.000000+6 1.087870-5 8.000000+6 9.232620-6 9.000000+6 8.008150-6520023545 1956 1.000000+7 7.066690-6 1.100000+7 6.321620-6 1.200000+7 5.715160-6520023545 1957 1.300000+7 5.212660-6 1.400000+7 4.793920-6 1.500000+7 4.432930-6520023545 1958 1.600000+7 4.123920-6 1.800000+7 3.618540-6 2.000000+7 3.222900-6520023545 1959 2.200000+7 2.905230-6 2.400000+7 2.642430-6 2.600000+7 2.424100-6520023545 1960 2.800000+7 2.238990-6 3.000000+7 2.079870-6 3.464100+7 1.786400-6520023545 1961 4.000000+7 1.534340-6 4.472140+7 1.365490-6 5.000000+7 1.215230-6520023545 1962 6.000000+7 1.005860-6 6.928200+7 8.675480-7 8.000000+7 7.482550-7520023545 1963 8.944271+7 6.675140-7 1.000000+8 5.954850-7 0.000000+0 0.000000+0520023545 1964 520023 0 1965 5.200000+4 1.265040+2 0 0 0 0520023546 1966 5.071000+1 0.000000+0 0 0 1 247520023546 1967 247 2 0 0 0 0520023546 1968 5.071000+1 0.000000+0 5.071000+1 7.434070+5 5.124600+1 8.655660+5520023546 1969 5.219760+1 1.129610+6 5.292290+1 1.379270+6 5.347350+1 1.602110+6520023546 1970 5.431010+1 2.005640+6 5.515980+1 2.510820+6 5.633190+1 3.341150+6520023546 1971 5.752900+1 4.446080+6 5.875150+1 5.786050+6 6.000000+1 7.529860+6520023546 1972 6.116730+1 9.322450+6 6.235740+1 1.154180+7 6.418600+1 1.507080+7520023546 1973 6.612800+1 1.859090+7 6.748560+1 2.048590+7 6.915160+1 2.173080+7520023546 1974 7.000000+1 2.180540+7 7.117820+1 2.127210+7 7.328800+1 1.899760+7520023546 1975 7.491130+1 1.669290+7 7.741380+1 1.303230+7 8.000000+1 1.017450+7520023546 1976 8.239070+1 8.217380+6 8.423050+1 7.000820+6 8.706750+1 5.505180+6520023546 1977 9.000000+1 4.329070+6 9.240210+1 3.512240+6 9.424570+1 3.002460+6520023546 1978 9.708020+1 2.373100+6 1.000000+2 1.875660+6 1.026570+2 1.506030+6520023546 1979 1.050390+2 1.242880+6 1.071700+2 1.050630+6 1.090690+2 9.069740+5520023546 1980 1.124740+2 7.012060+5 1.150970+2 5.781410+5 1.171050+2 5.002360+5520023546 1981 1.201820+2 4.026120+5 1.233400+2 3.240400+5 1.269720+2 2.607940+5520023546 1982 1.307100+2 2.098920+5 1.335900+2 1.835250+5 1.375160+2 1.600270+5520023546 1983 1.428450+2 1.434700+5 1.475760+2 1.383720+5 1.500000+2 1.383540+5520023546 1984 1.556680+2 1.437200+5 1.645740+2 1.628410+5 1.778200+2 2.004490+5520023546 1985 2.000000+2 2.570230+5 2.213360+2 2.952730+5 2.388200+2 3.138790+5520023546 1986 2.676670+2 3.248820+5 3.000000+2 3.186390+5 3.464100+2 2.942730+5520023546 1987 4.000000+2 2.584640+5 4.472140+2 2.245050+5 5.000000+2 1.950080+5520023546 1988 5.502820+2 1.675490+5 6.056200+2 1.439560+5 6.511020+2 1.262870+5520023546 1989 7.000000+2 1.107870+5 7.453910+2 9.752850+4 8.190560+2 8.055550+4520023546 1990 9.000000+2 6.653640+4 1.000000+3 5.273300+4 1.078990+3 4.400880+4520023546 1991 1.142300+3 3.842670+4 1.244300+3 3.135250+4 1.355400+3 2.558070+4520023546 1992 1.425870+3 2.250040+4 1.500000+3 1.979100+4 1.611850+3 1.633310+4520023546 1993 1.701190+3 1.414230+4 1.844550+3 1.139460+4 2.000000+3 9.180701+3520023546 1994 2.103980+3 7.925701+3 2.199390+3 6.969140+3 2.376880+3 5.564510+3520023546 1995 2.519330+3 4.700160+3 2.631750+3 4.141210+3 2.809850+3 3.424900+3520023546 1996 3.000000+3 2.832500+3 3.144430+3 2.442450+3 3.276490+3 2.145480+3520023546 1997 3.521090+3 1.710010+3 3.716450+3 1.442460+3 3.870050+3 1.269640+3520023546 1998 4.112430+3 1.048450+3 4.370000+3 8.658000+2 4.546640+3 7.579220+2520023546 1999 4.873100+3 6.004650+2 5.133240+3 5.042370+2 5.337420+3 4.423280+2520023546 2000 5.659020+3 3.634210+2 6.000000+3 2.985900+2 6.219690+3 2.631020+2520023546 2001 6.623670+3 2.108440+2 6.943790+3 1.785820+2 7.453210+3 1.392050+2520023546 2002 8.000000+3 1.085100+2 8.458970+3 8.855550+1 8.820401+3 7.603690+1520023546 2003 9.391701+3 6.049760+1 1.000000+4 4.813400+1 1.051990+4 3.972660+1520023546 2004 1.099690+4 3.358390+1 1.143200+4 2.899350+1 1.182690+4 2.549460+1520023546 2005 1.255090+4 2.035670+1 1.312290+4 1.719500+1 1.356890+4 1.515040+1520023546 2006 1.426650+4 1.253010+1 1.500000+4 1.036300+1 1.554920+4 8.997640+0520023546 2007 1.655920+4 7.026740+0 1.735950+4 5.837450+0 1.798500+4 5.079540+0520023546 2008 1.896570+4 4.123130+0 2.000000+4 3.346800+0 2.121270+4 2.637810+0520023546 2009 2.233400+4 2.141810+0 2.336360+4 1.784950+0 2.430340+4 1.521830+0520023546 2010 2.515670+4 1.323620+0 2.672260+4 1.036830+0 2.796070+4 8.633100-1520023546 2011 2.892680+4 7.525080-1 3.043890+4 6.123890-1 3.203000+4 4.983600-1520023546 2012 3.391590+4 3.931400-1 3.578460+4 3.147660-1 3.762990+4 2.555430-1520023546 2013 3.944620+4 2.101830-1 4.122850+4 1.749990-1 4.297260+4 1.473830-1520023546 2014 4.467450+4 1.254640-1 4.633130+4 1.078850-1 4.794020+4 9.364880-2520023546 2015 4.949940+4 8.201320-2 5.256070+4 6.395120-2 5.539420+4 5.144210-2520023546 2016 5.799860+4 4.252110-2 6.037770+4 3.599400-2 6.253940+4 3.111010-2520023546 2017 6.449420+4 2.738350-2 6.806330+4 2.190380-2 7.086910+4 1.852640-2520023546 2018 7.529629+4 1.441110-2 8.000000+4 1.121000-2 8.320560+4 9.548680-3520023546 2019 8.632740+4 8.215520-3 8.936040+4 7.135230-3 9.230050+4 6.251840-3520023546 2020 9.807650+4 4.879590-3 1.034260+5 3.928360-3 1.083460+5 3.249460-3520023546 2021 1.128430+5 2.752390-3 1.169300+5 2.380250-3 1.206270+5 2.096140-3520023546 2022 1.273820+5 1.678100-3 1.326950+5 1.420250-3 1.410820+5 1.105830-3520023546 2023 1.500000+5 8.610100-4 1.554920+5 7.472430-4 1.655920+5 5.831170-4520023546 2024 1.735950+5 4.841450-4 1.798500+5 4.211050-4 1.896570+5 3.415970-4520023546 2025 2.000000+5 2.771000-4 2.103980+5 2.289150-4 2.199390+5 1.936780-4520023546 2026 2.286410+5 1.673260-4 2.365370+5 1.472260-4 2.510180+5 1.176850-4520023546 2027 2.624580+5 9.948870-5 2.713780+5 8.771290-5 2.853300+5 7.261020-5520023546 2028 3.000000+5 6.010800-5 3.109840+5 5.290210-5 3.311840+5 4.230770-5520023546 2029 3.471900+5 3.577900-5 3.597000+5 3.155260-5 3.793150+5 2.613040-5520023546 2030 4.000000+5 2.164000-5 4.229490+5 1.793010-5 4.410200+5 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5.081040-1520027506 2671 1.119940+5 4.661090-1 1.220830+5 4.244870-1 1.294640+5 3.921910-1520027506 2672 1.391330+5 3.580120-1 1.500310+5 3.233680-1 1.655920+5 2.826920-1520027506 2673 1.771420+5 2.557340-1 1.896570+5 2.304760-1 2.066470+5 2.025350-1520027506 2674 2.199390+5 1.828300-1 2.365370+5 1.627650-1 2.546110+5 1.439240-1520027506 2675 2.748680+5 1.255690-1 2.926730+5 1.118490-1 3.115560+5 9.905570-2520027506 2676 3.325450+5 8.708770-2 3.597000+5 7.453040-2 3.859300+5 6.447150-2520027506 2677 4.229490+5 5.289520-2 4.472140+5 4.631380-2 4.709850+5 4.091260-2520027506 2678 5.300350+5 3.045820-2 5.798350+5 2.380300-2 6.220980+5 1.909430-2520027506 2679 6.575800+5 1.589560-2 6.804750+5 1.410520-2 7.408430+5 1.007320-2520027506 2680 8.058490+5 6.609340-3 8.820400+5 3.505630-3 9.197270+5 2.321790-3520027506 2681 9.800550+5 5.108740-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0520027506 2682 520027 0 2683 5200 0 0 2684 0 0 0 2685 5.300000+4 1.258140+2 -1 0 2 25300 1451 1 0.000000+0 0.000000+0 0 0 0 65300 1451 2 0.000000+0 0.000000+0 0 0 3 25300 1451 3 0.000000+0 0.000000+0 0 0 141 295300 1451 4 53-I LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5300 1451 6 ----JEF-2 MATERIAL 5300 REVISION 0 5300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5300 1451 8 ------ENDF-6 FORMAT 5300 1451 9 ******************************************************************5300 1451 10 * JEF-2 *5300 1451 11 * DATA TAKEN FROM EPDL *5300 1451 12 ******************************************************************5300 1451 13 =================================================================5300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5300 1451 15 ENDF/B-VI FORMAT 5300 1451 16 =================================================================5300 1451 17 CONTENTS 5300 1451 18 =================================================================5300 1451 19 MF/MT DESCRIPTION 5300 1451 20 =================================================================5300 1451 21 23/501 TOTAL CROSS SECTION 5300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 45 =================================================================5300 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 5300 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 5300 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5300 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 5300 1451 50 =================================================================5300 1451 51 WARNING 5300 1451 52 =================================================================5300 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5300 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5300 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5300 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5300 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5300 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5300 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5300 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5300 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5300 1451 62 =================================================================5300 1451 63 DEFINITION OF NEW TYPES OF DATA 5300 1451 64 =================================================================5300 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5300 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5300 1451 67 5300 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5300 1451 69 C2 FIELDS ARE, 5300 1451 70 5300 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5300 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5300 1451 73 5300 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5300 1451 75 5300 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5300 1451 77 5300 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5300 1451 79 T = THE THOMSON CROSS SECTION 5300 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 5300 1451 81 FF(M) = THE ATOMIC FORM FACTOR 5300 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5300 1451 83 F1(E) = THE REAL SCATTERING FACTOR 5300 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 5300 1451 85 5300 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 5300 1451 87 5300 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5300 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5300 1451 90 =================================================================5300 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5300 1451 92 =================================================================5300 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5300 1451 94 HERE - 10 EV TO 100 MEV 5300 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5300 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 5300 1451 97 HERE - PHOTON INTERACTION 5300 1451 98 - AVERAGE FLUORESCENCE YIELD 5300 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5300 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5300 1451 101 HERE - NO SECONDARY ENERGY DATA 5300 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5300 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 5300 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 5300 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 5300 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5300 1451 107 - SCATTERING FACTORS LINEARLY INTERPOLABLE5300 1451 108 (SINCE THEY CAN BE NEGATIVE). 5300 1451 109 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5300 1451 110 ORDER TO ALLOW CROSS SECTIONS DEFINED 5300 1451 111 BY SUMMATION (E.G., TOTAL) TO BE 5300 1451 112 CONSISTENTLY DEFINED AT ALL ENERGIES. 5300 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 5300 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5300 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE5300 1451 116 =================================================================5300 1451 117 REFERENCES 5300 1451 118 =================================================================5300 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5300 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5300 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5300 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5300 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5300 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5300 1451 125 5300 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5300 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5300 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5300 1451 129 OF THE DATA, ETC. 5300 1451 130 =================================================================5300 1451 131 HISTORY 5300 1451 132 =================================================================5300 1451 133 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5300 1451 134 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5300 1451 135 CROSS SECTIONS. 5300 1451 136 =================================================================5300 1451 137 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5300 1451 138 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5300 1451 139 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5300 1451 140 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5300 1451 141 *RECONSTRUCTED MT NUMBERS 5300 1451 142 516 =+(515,515)+(517,517) 5300 1451 143 522 =+(534,572) 5300 1451 144 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5300 1451 145 1 451 174 15300 1451 146 23 501 518 15300 1451 147 23 502 150 15300 1451 148 23 504 31 15300 1451 149 23 515 30 15300 1451 150 23 516 58 15300 1451 151 23 517 41 15300 1451 152 23 522 333 25300 1451 153 23 534 36 25300 1451 154 23 535 44 25300 1451 155 23 536 50 25300 1451 156 23 537 50 25300 1451 157 23 538 48 25300 1451 158 23 539 53 25300 1451 159 23 540 55 25300 1451 160 23 541 77 25300 1451 161 23 542 74 25300 1451 162 23 543 54 25300 1451 163 23 544 58 25300 1451 164 23 545 60 25300 1451 165 23 546 85 25300 1451 166 23 547 86 25300 1451 167 23 550 62 25300 1451 168 23 551 71 25300 1451 169 23 552 73 25300 1451 170 27 502 51 15300 1451 171 27 504 44 15300 1451 172 27 505 125 15300 1451 173 27 506 125 15300 1451 174 5300 1 0 175 5300 0 0 176 5.300000+4 1.258140+2 0 0 0 0530023501 177 0.000000+0 0.000000+0 0 0 1 1545530023501 178 1545 2 0 0 0 0530023501 179 1.000000+1 6.593260+7 1.034800+1 6.211900+7 1.057370+1 5.964560+7530023501 180 1.063580+1 5.896510+7 1.068180+1 5.846100+7 1.072710+1 5.796460+7530023501 181 1.077000+1 5.749450+7 1.077000+1 9.107831+7 1.080660+1 9.043491+7530023501 182 1.085200+1 8.963671+7 1.088110+1 8.912511+7 1.093710+1 8.814060+7530023501 183 1.098000+1 8.738640+7 1.104380+1 8.623720+7 1.134220+1 8.086250+7530023501 184 1.138210+1 8.019460+7 1.154780+1 7.742110+7 1.187070+1 7.201640+7530023501 185 1.222300+1 6.646710+7 1.225790+1 6.591730+7 1.258580+1 6.115010+7530023501 186 1.286400+1 5.772050+7 1.324760+1 5.299150+7 1.334390+1 5.181870+7530023501 187 1.356170+1 4.938150+7 1.409660+1 4.339570+7 1.414770+1 4.286730+7530023501 188 1.436120+1 4.101450+7 1.500000+1 3.547110+7 1.512470+1 3.453430+7530023501 189 1.544640+1 3.211760+7 1.568400+1 3.033280+7 1.611850+1 2.743650+7530023501 190 1.613840+1 2.731110+7 1.630810+1 2.624200+7 1.670270+1 2.399820+7530023501 191 1.687450+1 2.310820+7 1.751420+1 2.020570+7 1.777650+1 1.901560+7530023501 192 1.778280+1 1.898980+7 1.791340+1 1.845540+7 1.831930+1 1.702650+7530023501 193 1.862690+1 1.594370+7 1.873440+1 1.559380+7 1.929130+1 1.397270+7530023501 194 1.937470+1 1.374910+7 1.980960+1 1.271510+7 2.033250+1 1.147180+7530023501 195 2.037650+1 1.137700+7 2.061010+1 1.094170+7 2.087870+1 1.044120+7530023501 196 2.101000+1 1.019650+7 2.101000+1 1.031950+7 2.120830+1 9.944360+6530023501 197 2.143000+1 9.524920+6 2.191900+1 8.804670+6 2.196660+1 8.734560+6530023501 198 2.235040+1 8.172060+6 2.276540+1 7.663690+6 2.296680+1 7.416980+6530023501 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2.541670-2 4.598630+5 2.056350-2530023543 1875 5.000000+5 1.663700-2 5.477230+5 1.334100-2 6.000000+5 1.069800-2530023543 1876 6.447420+5 9.083340-3 6.804750+5 8.034390-3 7.378210+5 6.683650-3530023543 1877 8.000000+5 5.560000-3 8.458970+5 4.943370-3 9.197270+5 4.144240-3530023543 1878 1.000000+6 3.474300-3 1.022000+6 3.325760-3 1.102170+6 2.863170-3530023543 1879 1.188630+6 2.464920-3 1.250000+6 2.239530-3 1.369310+6 1.890600-3530023543 1880 1.500000+6 1.596030-3 1.611850+6 1.409730-3 1.795470+6 1.170260-3530023543 1881 2.000000+6 9.714610-4 2.044000+6 9.370520-4 2.249780+6 8.069480-4530023543 1882 2.417610+6 7.213690-4 2.693110+6 6.097120-4 3.000000+6 5.153380-4530023543 1883 3.464100+6 4.193080-4 4.000000+6 3.411720-4 4.472140+6 2.933710-4530023543 1884 5.000000+6 2.522680-4 5.477230+6 2.240860-4 6.000000+6 1.990530-4530023543 1885 7.000000+6 1.639240-4 8.000000+6 1.390770-4 9.000000+6 1.206320-4530023543 1886 1.000000+7 1.064290-4 1.100000+7 9.518560-5 1.200000+7 8.606310-5530023543 1887 1.300000+7 7.850110-5 1.400000+7 7.213940-5 1.500000+7 6.673790-5530023543 1888 1.600000+7 6.209670-5 1.800000+7 5.445460-5 2.000000+7 4.849300-5530023543 1889 2.200000+7 4.369170-5 2.400000+7 3.977070-5 2.600000+7 3.648180-5530023543 1890 2.800000+7 3.369300-5 3.000000+7 3.130040-5 3.464100+7 2.688140-5530023543 1891 4.000000+7 2.308620-5 4.472140+7 2.054580-5 5.000000+7 1.828490-5530023543 1892 6.000000+7 1.513610-5 6.928200+7 1.305210-5 8.000000+7 1.125500-5530023543 1893 8.944271+7 1.004130-5 1.000000+8 8.958400-6 0.000000+0 0.000000+0530023543 1894 530023 0 1895 5.300000+4 1.258140+2 0 0 0 0530023544 1896 1.455300+2 0.000000+0 0 0 1 164530023544 1897 164 2 0 0 0 0530023544 1898 1.455300+2 0.000000+0 1.455300+2 1.498900+5 1.528170+2 1.477070+5530023544 1899 1.684120+2 1.315270+5 1.855990+2 1.171200+5 2.000000+2 1.124610+5530023544 1900 3.000000+2 1.015450+5 3.722420+2 9.050079+4 4.314170+2 7.991970+4530023544 1901 5.000000+2 7.057570+4 5.719660+2 6.074400+4 6.542900+2 5.228200+4530023544 1902 7.085790+2 4.696650+4 7.985740+2 3.998910+4 9.000000+2 3.404830+4530023544 1903 9.781100+2 3.002550+4 1.063000+3 2.647800+4 1.158570+3 2.295530+4530023544 1904 1.318280+3 1.853010+4 1.500000+3 1.495800+4 1.611850+3 1.311800+4530023544 1905 1.795470+3 1.077360+4 2.000000+3 8.848100+3 2.213360+3 7.230181+3530023544 1906 2.388200+3 6.214040+3 2.676670+3 4.951200+3 3.000000+3 3.945000+3530023544 1907 3.335800+3 3.126100+3 3.612090+3 2.625550+3 3.834220+3 2.303470+3530023544 1908 4.193300+3 1.892890+3 4.586000+3 1.555500+3 4.904710+3 1.326900+3530023544 1909 5.158200+3 1.177780+3 5.563200+3 9.849260+2 6.000000+3 8.236500+2530023544 1910 6.447420+3 6.880930+2 6.804750+3 6.012780+2 7.378210+3 4.911550+2530023544 1911 8.000000+3 4.012000+2 8.458970+3 3.467290+2 9.197270+3 2.785700+2530023544 1912 1.000000+4 2.238100+2 1.051990+4 1.946890+2 1.099690+4 1.723340+2530023544 1913 1.188440+4 1.392100+2 1.259670+4 1.186170+2 1.374590+4 9.329510+1530023544 1914 1.500000+4 7.337900+1 1.611850+4 5.960500+1 1.701190+4 5.099960+1530023544 1915 1.844550+4 4.036370+1 2.000000+4 3.194600+1 2.132400+4 2.630660+1530023544 1916 2.255430+4 2.219510+1 2.368880+4 1.912830+1 2.472830+4 1.679450+1530023544 1917 2.665830+4 1.337450+1 2.820400+4 1.127480+1 2.942180+4 9.919360+0530023544 1918 3.134790+4 8.185490+0 3.340000+4 6.754700+0 3.593740+4 5.353230+0530023544 1919 3.831530+4 4.367670+0 4.052470+4 3.655350+0 4.256220+4 3.128050+0530023544 1920 4.442880+4 2.729450+0 4.789460+4 2.150190+0 5.067020+4 1.797960+0530023544 1921 5.285700+4 1.572190+0 5.631530+4 1.285570+0 6.000000+4 1.051200+0530023544 1922 6.353640+4 8.726590-1 6.704080+4 7.329190-1 7.050160+4 6.223070-1530023544 1923 7.390810+4 5.338190-1 7.725110+4 4.623240-1 8.052229+4 4.040190-1530023544 1924 8.371479+4 3.560540-1 9.004579+4 2.809350-1 9.597690+4 2.283280-1530023544 1925 1.014860+5 1.904440-1 1.065660+5 1.624900-1 1.112180+5 1.414170-1530023544 1926 1.198550+5 1.109010-1 1.267690+5 9.241850-2 1.322160+5 8.060780-2530023544 1927 1.408280+5 6.566060-2 1.500000+5 5.348500-2 1.611850+5 4.249670-2530023544 1928 1.701190+5 3.576420-2 1.771420+5 3.142440-2 1.882240+5 2.588190-2530023544 1929 2.000000+5 2.131700-2 2.103980+5 1.822300-2 2.199390+5 1.588640-2530023544 1930 2.376880+5 1.249500-2 2.519330+5 1.043560-2 2.631750+5 9.117090-3530023544 1931 2.809850+5 7.444950-3 3.000000+5 6.079500-3 3.223710+5 4.919580-3530023544 1932 3.402370+5 4.197330-3 3.689100+5 3.307810-3 4.000000+5 2.606800-3530023544 1933 4.229490+5 2.229670-3 4.598630+5 1.763750-3 5.000000+5 1.395200-3530023544 1934 5.233180+5 1.235290-3 5.603490+5 1.029130-3 6.000000+5 8.573700-4530023544 1935 6.447420+5 7.162140-4 6.804750+5 6.258190-4 7.378210+5 5.111610-4530023544 1936 8.000000+5 4.175100-4 8.458970+5 3.670120-4 9.197270+5 3.024830-4530023544 1937 1.000000+6 2.493000-4 1.022000+6 2.381360-4 1.102170+6 2.044310-4530023544 1938 1.188630+6 1.754960-4 1.250000+6 1.594780-4 1.369310+6 1.351450-4530023544 1939 1.500000+6 1.145240-4 1.611850+6 1.011560-4 1.795470+6 8.397230-5530023544 1940 2.000000+6 6.970760-5 2.044000+6 6.723860-5 2.249780+6 5.790300-5530023544 1941 2.417610+6 5.176210-5 2.693110+6 4.375020-5 3.000000+6 3.697830-5530023544 1942 3.464100+6 3.008760-5 4.000000+6 2.448090-5 4.472140+6 2.105100-5530023544 1943 5.000000+6 1.810160-5 5.477230+6 1.607950-5 6.000000+6 1.428320-5530023544 1944 7.000000+6 1.176240-5 8.000000+6 9.979560-6 9.000000+6 8.656030-6530023544 1945 1.000000+7 7.636830-6 1.100000+7 6.830080-6 1.200000+7 6.175500-6530023544 1946 1.300000+7 5.632880-6 1.400000+7 5.176390-6 1.500000+7 4.788810-6530023544 1947 1.600000+7 4.455780-6 1.800000+7 3.907420-6 2.000000+7 3.479640-6530023544 1948 2.200000+7 3.135120-6 2.400000+7 2.853760-6 2.600000+7 2.617770-6530023544 1949 2.800000+7 2.417660-6 3.000000+7 2.245970-6 3.464100+7 1.928880-6530023544 1950 4.000000+7 1.656560-6 4.472140+7 1.474270-6 5.000000+7 1.312040-6530023544 1951 6.000000+7 1.086100-6 6.928200+7 9.365600-7 8.000000+7 8.076090-7530023544 1952 8.944271+7 7.205150-7 1.000000+8 6.428140-7 0.000000+0 0.000000+0530023544 1953 530023 0 1954 5.300000+4 1.258140+2 0 0 0 0530023545 1955 1.342100+2 0.000000+0 0 0 1 169530023545 1956 169 2 0 0 0 0530023545 1957 1.342100+2 0.000000+0 1.342100+2 3.832380+5 1.475670+2 3.824980+5530023545 1958 1.906500+2 3.214390+5 2.710810+2 2.794240+5 3.000000+2 2.627300+5530023545 1959 3.464100+2 2.330370+5 4.000000+2 2.066990+5 4.472140+2 1.831810+5530023545 1960 5.000000+2 1.623380+5 5.438790+2 1.454680+5 6.170210+2 1.233930+5530023545 1961 7.000000+2 1.046680+5 7.652860+2 9.129670+4 8.748060+2 7.437340+4530023545 1962 1.000000+3 6.058700+4 1.106680+3 5.076540+4 1.194100+3 4.445900+4530023545 1963 1.338340+3 3.643730+4 1.500000+3 2.986300+4 1.611850+3 2.601440+4530023545 1964 1.795470+3 2.115110+4 2.000000+3 1.719700+4 2.213360+3 1.392870+4530023545 1965 2.388200+3 1.189200+4 2.528320+3 1.056250+4 2.754080+3 8.841540+3530023545 1966 3.000000+3 7.401000+3 3.163450+3 6.558991+3 3.471190+3 5.309380+3530023545 1967 3.721500+3 4.531050+3 3.921000+3 4.023140+3 4.240480+3 3.366000+3530023545 1968 4.586000+3 2.816200+3 4.904710+3 2.388920+3 5.158200+3 2.111570+3530023545 1969 5.563200+3 1.754730+3 6.000000+3 1.458200+3 6.447420+3 1.210810+3530023545 1970 6.804750+3 1.053220+3 7.378210+3 8.544400+2 8.000000+3 6.931800+2530023545 1971 8.458970+3 5.961600+2 9.197270+3 4.754870+2 1.000000+4 3.792400+2530023545 1972 1.051990+4 3.283720+2 1.099690+4 2.894920+2 1.188440+4 2.321990+2530023545 1973 1.259670+4 1.968010+2 1.315870+4 1.738410+2 1.404920+4 1.443250+2530023545 1974 1.500000+4 1.198200+2 1.611850+4 9.664390+1 1.701190+4 8.225430+1530023545 1975 1.844550+4 6.458550+1 2.000000+4 5.071200+1 2.132400+4 4.147180+1530023545 1976 2.255430+4 3.477890+1 2.368880+4 2.981490+1 2.472830+4 2.605610+1530023545 1977 2.665830+4 2.058240+1 2.820400+4 1.724590+1 2.942180+4 1.510350+1530023545 1978 3.134790+4 1.237840+1 3.340000+4 1.014500+1 3.593740+4 7.966350+0530023545 1979 3.831530+4 6.447500+0 4.052470+4 5.358040+0 4.256220+4 4.556900+0530023545 1980 4.442880+4 3.954800+0 4.612920+4 3.493600+0 4.926280+4 2.812110+0530023545 1981 5.175200+4 2.389750+0 5.572360+4 1.872110+0 6.000000+4 1.466600+0530023545 1982 6.353640+4 1.206830+0 6.704080+4 1.005250+0 7.050160+4 8.469590-1530023545 1983 7.390810+4 7.212760-1 7.725110+4 6.204400-1 8.052229+4 5.387490-1530023545 1984 8.371479+4 4.719600-1 9.004579+4 3.682370-1 9.597690+4 2.963610-1530023545 1985 1.014860+5 2.450780-1 1.065660+5 2.075400-1 1.112180+5 1.794420-1530023545 1986 1.154560+5 1.579950-1 1.232640+5 1.264450-1 1.294640+5 1.069910-1530023545 1987 1.343180+5 9.439120-2 1.419430+5 7.821800-2 1.500000+5 6.481600-2530023545 1988 1.611850+5 5.093180-2 1.701190+5 4.250780-2 1.771420+5 3.711750-2530023545 1989 1.882240+5 3.028610-2 2.000000+5 2.471200-2 2.103980+5 2.098270-2530023545 1990 2.199390+5 1.818420-2 2.286410+5 1.604350-2 2.447070+5 1.288560-2530023545 1991 2.574930+5 1.093230-2 2.779350+5 8.543200-3 3.000000+5 6.676200-3530023545 1992 3.223710+5 5.366710-3 3.402370+5 4.556100-3 3.542840+5 4.029550-3530023545 1993 3.764490+5 3.351590-3 4.000000+5 2.787700-3 4.229490+5 2.378090-3530023545 1994 4.598630+5 1.873710-3 5.000000+5 1.476300-3 5.233180+5 1.306550-3530023545 1995 5.603490+5 1.087820-3 6.000000+5 9.057000-4 6.447420+5 7.579620-4530023545 1996 6.804750+5 6.632010-4 7.378210+5 5.428020-4 8.000000+5 4.442600-4530023545 1997 8.458970+5 3.918150-4 9.197270+5 3.245240-4 1.000000+6 2.687900-4530023545 1998 1.022000+6 2.569150-4 1.102170+6 2.207710-4 1.188630+6 1.897120-4530023545 1999 1.250000+6 1.723390-4 1.369310+6 1.458760-4 1.500000+6 1.234770-4530023545 2000 1.611850+6 1.090640-4 1.795470+6 9.053710-5 2.000000+6 7.515730-5530023545 2001 2.044000+6 7.249520-5 2.249780+6 6.242970-5 2.417610+6 5.580890-5530023545 2002 2.693110+6 4.717060-5 3.000000+6 3.986930-5 3.464100+6 3.243980-5530023545 2003 4.000000+6 2.639480-5 4.472140+6 2.269670-5 5.000000+6 1.951670-5530023545 2004 5.477230+6 1.733650-5 6.000000+6 1.539980-5 7.000000+6 1.268200-5530023545 2005 8.000000+6 1.075970-5 9.000000+6 9.332750-6 1.000000+7 8.233870-6530023545 2006 1.100000+7 7.364050-6 1.200000+7 6.658290-6 1.300000+7 6.073250-6530023545 2007 1.400000+7 5.581080-6 1.500000+7 5.163190-6 1.600000+7 4.804120-6530023545 2008 1.800000+7 4.212890-6 2.000000+7 3.751670-6 2.200000+7 3.380220-6530023545 2009 2.400000+7 3.076870-6 2.600000+7 2.822420-6 2.800000+7 2.606670-6530023545 2010 3.000000+7 2.421560-6 3.464100+7 2.079680-6 4.000000+7 1.786070-6530023545 2011 4.472140+7 1.589530-6 5.000000+7 1.414620-6 6.000000+7 1.171000-6530023545 2012 6.928200+7 1.009770-6 8.000000+7 8.707470-7 8.944271+7 7.768450-7530023545 2013 1.000000+8 6.930690-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0530023545 2014 530023 0 2015 5.300000+4 1.258140+2 0 0 0 0530023546 2016 6.004000+1 0.000000+0 0 0 1 245530023546 2017 245 2 0 0 0 0530023546 2018 6.004000+1 0.000000+0 6.004000+1 5.649800+5 6.061870+1 7.220950+5530023546 2019 6.105640+1 8.679910+5 6.171890+1 1.143920+6 6.238860+1 1.507570+6530023546 2020 6.283910+1 1.793480+6 6.352090+1 2.327160+6 6.421010+1 3.019650+6530023546 2021 6.468830+1 3.547950+6 6.541220+1 4.518660+6 6.614430+1 5.754940+6530023546 2022 6.681690+1 6.966090+6 6.749630+1 8.432130+6 6.811370+1 9.767610+6530023546 2023 6.873680+1 1.131460+7 7.000000+1 1.437380+7 7.117820+1 1.697870+7530023546 2024 7.268840+1 1.955710+7 7.397690+1 2.087530+7 7.543880+1 2.133070+7530023546 2025 7.703710+1 2.070670+7 7.899990+1 1.879030+7 8.000000+1 1.752310+7530023546 2026 8.239070+1 1.424510+7 8.423050+1 1.175210+7 8.611130+1 9.695440+6530023546 2027 8.803420+1 7.910770+6 9.000000+1 6.454610+6 9.240210+1 5.206170+6530023546 2028 9.424570+1 4.431040+6 9.708020+1 3.479250+6 1.000000+2 2.731900+6530023546 2029 1.026600+2 2.179750+6 1.050460+2 1.788970+6 1.071790+2 1.504970+6530023546 2030 1.090800+2 1.293710+6 1.124900+2 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6.379510-4 1.000000+6 0.000000+0530027506 2745 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0530027506 2746 530027 0 2747 5300 0 0 2748 0 0 0 2749 5.400000+4 1.301720+2 -1 0 2 25400 1451 1 0.000000+0 0.000000+0 0 0 0 65400 1451 2 0.000000+0 0.000000+0 0 0 3 25400 1451 3 0.000000+0 0.000000+0 0 0 141 295400 1451 4 54-XE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5400 1451 6 ----JEF-2 MATERIAL 5400 REVISION 0 5400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5400 1451 8 ------ENDF-6 FORMAT 5400 1451 9 ******************************************************************5400 1451 10 * JEF-2 *5400 1451 11 * DATA TAKEN FROM EPDL *5400 1451 12 ******************************************************************5400 1451 13 =================================================================5400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5400 1451 15 ENDF/B-VI FORMAT 5400 1451 16 =================================================================5400 1451 17 CONTENTS 5400 1451 18 =================================================================5400 1451 19 MF/MT DESCRIPTION 5400 1451 20 =================================================================5400 1451 21 23/501 TOTAL CROSS SECTION 5400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 45 =================================================================5400 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 5400 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 5400 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5400 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 5400 1451 50 =================================================================5400 1451 51 WARNING 5400 1451 52 =================================================================5400 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5400 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5400 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5400 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5400 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5400 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5400 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5400 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5400 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5400 1451 62 =================================================================5400 1451 63 DEFINITION OF NEW TYPES OF DATA 5400 1451 64 =================================================================5400 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5400 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5400 1451 67 5400 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5400 1451 69 C2 FIELDS ARE, 5400 1451 70 5400 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5400 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5400 1451 73 5400 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5400 1451 75 5400 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5400 1451 77 5400 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5400 1451 79 T = THE THOMSON CROSS SECTION 5400 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 5400 1451 81 FF(M) = THE ATOMIC FORM FACTOR 5400 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5400 1451 83 F1(E) = THE REAL SCATTERING FACTOR 5400 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 5400 1451 85 5400 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 5400 1451 87 5400 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5400 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5400 1451 90 =================================================================5400 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5400 1451 92 =================================================================5400 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5400 1451 94 HERE - 10 EV TO 100 MEV 5400 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5400 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 5400 1451 97 HERE - PHOTON INTERACTION 5400 1451 98 - AVERAGE FLUORESCENCE YIELD 5400 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5400 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5400 1451 101 HERE - NO SECONDARY ENERGY DATA 5400 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5400 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 5400 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 5400 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 5400 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5400 1451 107 - SCATTERING FACTORS LINEARLY INTERPOLABLE5400 1451 108 (SINCE THEY CAN BE NEGATIVE). 5400 1451 109 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5400 1451 110 ORDER TO ALLOW CROSS SECTIONS DEFINED 5400 1451 111 BY SUMMATION (E.G., TOTAL) TO BE 5400 1451 112 CONSISTENTLY DEFINED AT ALL ENERGIES. 5400 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 5400 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5400 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE5400 1451 116 =================================================================5400 1451 117 REFERENCES 5400 1451 118 =================================================================5400 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5400 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5400 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5400 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5400 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5400 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5400 1451 125 5400 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5400 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5400 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5400 1451 129 OF THE DATA, ETC. 5400 1451 130 =================================================================5400 1451 131 HISTORY 5400 1451 132 =================================================================5400 1451 133 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5400 1451 134 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5400 1451 135 CROSS SECTIONS. 5400 1451 136 =================================================================5400 1451 137 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5400 1451 138 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5400 1451 139 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5400 1451 140 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5400 1451 141 *RECONSTRUCTED MT NUMBERS 5400 1451 142 516 =+(515,515)+(517,517) 5400 1451 143 522 =+(534,572) 5400 1451 144 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5400 1451 145 1 451 174 15400 1451 146 23 501 560 15400 1451 147 23 502 176 15400 1451 148 23 504 31 15400 1451 149 23 515 30 15400 1451 150 23 516 58 15400 1451 151 23 517 41 15400 1451 152 23 522 352 25400 1451 153 23 534 36 25400 1451 154 23 535 43 25400 1451 155 23 536 49 25400 1451 156 23 537 49 25400 1451 157 23 538 48 25400 1451 158 23 539 54 25400 1451 159 23 540 55 25400 1451 160 23 541 77 25400 1451 161 23 542 69 25400 1451 162 23 543 54 25400 1451 163 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2.865870+2 1.303920+5 3.266190+2 1.163260+5 3.722420+2 1.037770+5540023543 1925 4.215950+2 8.897600+4 4.774920+2 7.628600+4 5.000000+2 7.294720+4540023543 1926 5.447950+2 6.486290+4 6.196240+2 5.438490+4 7.047300+2 4.559950+4540023543 1927 7.914410+2 3.809620+4 8.634060+2 3.329070+4 9.838080+2 2.719470+4540023543 1928 1.121000+3 2.221500+4 1.205670+3 1.967010+4 1.344800+3 1.638890+4540023543 1929 1.500000+3 1.365500+4 1.611850+3 1.204660+4 1.795470+3 9.982161+3540023543 1930 2.000000+3 8.271500+3 2.213360+3 6.882630+3 2.388200+3 5.996280+3540023543 1931 2.676670+3 4.876110+3 3.000000+3 3.965200+3 3.232810+3 3.437880+3540023543 1932 3.451300+3 3.034330+3 3.869770+3 2.438730+3 4.216600+3 2.070090+3540023543 1933 4.496980+3 1.830670+3 4.952880+3 1.522430+3 5.455000+3 1.266100+3540023543 1934 6.003000+3 1.043770+3 6.449840+3 9.030400+2 7.183221+3 7.267100+2540023543 1935 8.000000+3 5.848100+2 8.458970+3 5.204870+2 9.197270+3 4.370210+2540023543 1936 1.000000+4 3.669400+2 1.106680+4 2.946450+2 1.194100+4 2.499350+2540023543 1937 1.264160+4 2.209140+2 1.377040+4 1.835770+2 1.500000+4 1.525500+2540023543 1938 1.611850+4 1.297040+2 1.701190+4 1.148440+2 1.844550+4 9.568420+1540023543 1939 2.000000+4 7.972100+1 2.143380+4 6.764550+1 2.277240+4 5.858970+1540023543 1940 2.401210+4 5.166620+1 2.634620+4 4.146010+1 2.824440+4 3.515180+1540023543 1941 2.975740+4 3.105890+1 3.218010+4 2.579550+1 3.480000+4 2.142400+1540023543 1942 3.725210+4 1.804260+1 3.953900+4 1.552470+1 4.165490+4 1.361150+1540023543 1943 4.563390+4 1.081310+1 4.886560+4 9.098820+0 5.143880+4 7.993940+0540023543 1944 5.555470+4 6.583000+0 6.000000+4 5.421100+0 6.395620+4 4.577000+0540023543 1945 6.763120+4 3.946960+0 7.101970+4 3.467240+0 7.736310+4 2.763740+0540023543 1946 8.248979+4 2.331480+0 8.655660+4 2.052260+0 9.303579+4 1.694860+0540023543 1947 1.000000+5 1.399700+0 1.090510+5 1.104150+0 1.176400+5 8.972220-1540023543 1948 1.257080+5 7.482320-1 1.332210+5 6.383090-1 1.401620+5 5.554580-1540023543 1949 1.465310+5 4.918340-1 1.583810+5 3.975230-1 1.678940+5 3.388590-1540023543 1950 1.832450+5 2.666890-1 2.000000+5 2.098900-1 2.103980+5 1.828450-1540023543 1951 2.299120+5 1.436300-1 2.457260+5 1.198440-1 2.582970+5 1.046270-1540023543 1952 2.783680+5 8.534650-2 3.000000+5 6.961900-2 3.223710+5 5.760320-2540023543 1953 3.402370+5 4.997310-2 3.689100+5 4.038030-2 4.000000+5 3.262900-2540023543 1954 4.229490+5 2.833920-2 4.598630+5 2.293850-2 5.000000+5 1.856700-2540023543 1955 5.477230+5 1.489490-2 6.000000+5 1.194900-2 6.447420+5 1.014750-2540023543 1956 6.804750+5 8.977030-3 7.378210+5 7.469480-3 8.000000+5 6.215100-3540023543 1957 8.458970+5 5.526080-3 9.197270+5 4.633090-3 1.000000+6 3.884400-3540023543 1958 1.022000+6 3.718420-3 1.102170+6 3.201470-3 1.188630+6 2.756390-3540023543 1959 1.250000+6 2.504340-3 1.369310+6 2.113800-3 1.500000+6 1.784160-3540023543 1960 1.611850+6 1.575720-3 1.795470+6 1.307820-3 2.000000+6 1.085460-3540023543 1961 2.044000+6 1.047230-3 2.249780+6 9.016220-4 2.417610+6 8.058630-4540023543 1962 2.693110+6 6.809520-4 3.000000+6 5.754030-4 3.464100+6 4.681160-4540023543 1963 4.000000+6 3.808340-4 4.472140+6 3.274180-4 5.000000+6 2.814950-4540023543 1964 5.477230+6 2.500200-4 6.000000+6 2.220640-4 7.000000+6 1.828140-4540023543 1965 8.000000+6 1.550710-4 9.000000+6 1.345210-4 1.000000+7 1.186560-4540023543 1966 1.100000+7 1.061210-4 1.200000+7 9.592790-5 1.300000+7 8.750230-5540023543 1967 1.400000+7 8.039200-5 1.500000+7 7.439140-5 1.600000+7 6.917160-5540023543 1968 1.800000+7 6.066390-5 2.000000+7 5.404680-5 2.200000+7 4.870370-5540023543 1969 2.400000+7 4.430600-5 2.600000+7 4.063580-5 2.800000+7 3.752860-5540023543 1970 3.000000+7 3.486120-5 3.464100+7 2.993930-5 4.000000+7 2.571230-5540023543 1971 4.472140+7 2.288070-5 5.000000+7 2.036100-5 6.000000+7 1.685110-5540023543 1972 6.928200+7 1.453170-5 8.000000+7 1.253150-5 8.944271+7 1.118040-5540023543 1973 1.000000+8 9.975020-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0540023543 1974 540023 0 1975 5.400000+4 1.301720+2 0 0 0 0540023544 1976 1.606900+2 0.000000+0 0 0 1 161540023544 1977 161 2 0 0 0 0540023544 1978 1.606900+2 0.000000+0 1.606900+2 1.345790+5 1.827990+2 1.228180+5540023544 1979 2.079500+2 1.120840+5 3.000000+2 1.028500+5 3.722420+2 9.267929+4540023544 1980 4.314170+2 8.233770+4 5.000000+2 7.315010+4 5.814510+2 6.200860+4540023544 1981 6.761700+2 5.256410+4 7.352080+2 4.695740+4 8.335690+2 3.964850+4540023544 1982 9.450900+2 3.347720+4 1.033420+3 2.922390+4 1.130000+3 2.551100+4540023544 1983 1.212920+3 2.269090+4 1.348840+3 1.903430+4 1.500000+3 1.596700+4540023544 1984 1.611850+3 1.402340+4 1.795470+3 1.154240+4 2.000000+3 9.500401+3540023544 1985 2.213360+3 7.777991+3 2.388200+3 6.694400+3 2.676670+3 5.345380+3540023544 1986 3.000000+3 4.268200+3 3.223710+3 3.659780+3 3.590940+3 2.905830+3540023544 1987 4.000000+3 2.307200+3 4.322590+3 1.932290+3 4.581490+3 1.691660+3540023544 1988 4.999200+3 1.385710+3 5.455000+3 1.135100+3 6.003000+3 8.973610+2540023544 1989 6.449840+3 7.523450+2 6.806660+3 6.591800+2 7.379250+3 5.406120+2540023544 1990 8.000000+3 4.433700+2 8.458970+3 3.836210+2 9.197270+3 3.087490+2540023544 1991 1.000000+4 2.484900+2 1.051990+4 2.163890+2 1.099690+4 1.917210+2540023544 1992 1.188440+4 1.551250+2 1.259670+4 1.323400+2 1.374590+4 1.042810+2540023544 1993 1.500000+4 8.217100+1 1.611850+4 6.684550+1 1.701190+4 5.725820+1540023544 1994 1.844550+4 4.539270+1 2.000000+4 3.598600+1 2.143380+4 2.920230+1540023544 1995 2.277240+4 2.432430+1 2.401210+4 2.072930+1 2.515210+4 1.802240+1540023544 1996 2.727880+4 1.410780+1 2.899100+4 1.174070+1 3.034540+4 1.022990+1540023544 1997 3.249640+4 8.320270+0 3.480000+4 6.767100+0 3.725210+4 5.455940+0540023544 1998 3.953900+4 4.518850+0 4.165490+4 3.831930+0 4.359910+4 3.317090+0540023544 1999 4.537440+4 2.923680+0 4.865710+4 2.344130+0 5.127400+4 1.986190+0540023544 2000 5.332870+4 1.754090+0 5.656610+4 1.455780+0 6.000000+4 1.208200+0540023544 2001 6.353640+4 1.003820+0 6.704080+4 8.437260-1 7.050160+4 7.169080-1540023544 2002 7.390810+4 6.153850-1 7.725110+4 5.333040-1 8.052229+4 4.663250-1540023544 2003 8.371479+4 4.111930-1 9.004579+4 3.247800-1 9.597690+4 2.642050-1540023544 2004 1.014860+5 2.205450-1 1.065660+5 1.883040-1 1.112180+5 1.639840-1540023544 2005 1.198550+5 1.287360-1 1.267690+5 1.073680-1 1.322160+5 9.370350-2540023544 2006 1.408280+5 7.639710-2 1.500000+5 6.228700-2 1.611850+5 4.953260-2540023544 2007 1.701190+5 4.171210-2 1.771420+5 3.666820-2 1.882240+5 3.022260-2540023544 2008 2.000000+5 2.491000-2 2.103980+5 2.130420-2 2.199390+5 1.857990-2540023544 2009 2.376880+5 1.462370-2 2.519330+5 1.222000-2 2.631750+5 1.068020-2540023544 2010 2.809850+5 8.726490-3 3.000000+5 7.130200-3 3.223710+5 5.773340-3540023544 2011 3.402370+5 4.928000-3 3.689100+5 3.886300-3 4.000000+5 3.064800-3540023544 2012 4.229490+5 2.622550-3 4.598630+5 2.075900-3 5.000000+5 1.643200-3540023544 2013 5.233180+5 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7.859721+3-1.391270+0 8.058550+3-1.165450+0 8.332850+3-9.085360-1540027506 2845 8.534340+3-7.424690-1 8.759611+3-6.078010-1 9.355361+3-3.126860-1540027506 2846 9.469500+3-2.691900-1 9.550901+3-2.476440-1 9.671901+3-2.124300-1540027506 2847 1.001160+4-1.263430-1 1.004440+4-1.189880-1 1.019170+4-9.561950-2540027506 2848 1.032470+4-7.356740-2 1.051990+4-4.503120-2 1.073500+4-1.207230-2540027506 2849 1.084800+4 2.195540-3 1.095740+4 1.525160-2 1.106680+4 2.681500-2540027506 2850 1.114960+4 3.437020-2 1.124270+4 3.858690-2 1.170410+4 6.144670-2540027506 2851 1.182690+4 6.129200-2 1.199440+4 6.203800-2 1.228630+4 5.524460-2540027506 2852 1.255820+4 4.918980-2 1.264160+4 4.587420-2 1.283020+4 3.312770-2540027506 2853 1.297820+4 2.215950-2 1.315870+4 1.067560-2 1.332070+4 1.169380-3540027506 2854 1.334400+4-2.159390-4 1.348300+4-7.965410-3 1.373550+4-2.566250-2540027506 2855 1.386170+4-3.688500-2 1.408410+4-6.498230-2 1.445580+4-9.884080-2540027506 2856 1.451910+4-1.040950-1 1.500000+4-1.518420-1 1.532380+4-1.887490-1540027506 2857 1.550130+4-2.132320-1 1.560150+4-2.299710-1 1.587810+4-2.653660-1540027506 2858 1.709730+4-4.030050-1 1.771420+4-4.749700-1 1.872540+4-5.920190-1540027506 2859 1.939760+4-6.681500-1 2.097290+4-8.819060-1 2.277240+4-1.116580+0540027506 2860 2.495490+4-1.440310+0 2.566770+4-1.556160+0 2.727880+4-1.837490+0540027506 2861 2.895760+4-2.202750+0 2.988890+4-2.449200+0 3.151370+4-3.037000+0540027506 2862 3.234370+4-3.491200+0 3.323330+4-4.263090+0 3.356230+4-4.727750+0540027506 2863 3.377280+4-5.154080+0 3.389580+4-5.486250+0 3.398310+4-5.771370+0540027506 2864 3.405150+4-6.022280+0 3.408250+4-6.144120+0 3.412550+4-6.316790+0540027506 2865 3.416500+4-6.480180+0 3.421240+4-6.675590+0 3.427290+4-6.914360+0540027506 2866 3.433920+4-7.149320+0 3.441370+4-7.355400+0 3.455530+4-7.488640+0540027506 2867 3.469680+4-7.278450+0 3.482790+4-6.820980+0 3.495360+4-6.268180+0540027506 2868 3.511260+4-5.598780+0 3.526420+4-5.044990+0 3.548730+4-4.456690+0540027506 2869 3.594670+4-3.688380+0 3.627150+4-3.283940+0 3.691200+4-2.681220+0540027506 2870 3.787270+4-2.031970+0 3.883350+4-1.576020+0 3.953180+4-1.323670+0540027506 2871 4.023010+4-1.117570+0 4.184790+4-7.192230-1 4.264980+4-5.544750-1540027506 2872 4.353090+4-4.193670-1 4.532860+4-1.751840-1 4.673270+4-1.382220-2540027506 2873 4.710190+4 1.386310-2 4.868210+4 1.329830-1 4.994840+4 2.305940-1540027506 2874 5.039020+4 2.579210-1 5.133660+4 2.954390-1 5.348390+4 4.060080-1540027506 2875 5.445020+4 4.458190-1 5.509840+4 4.596660-1 5.727020+4 5.318370-1540027506 2876 5.825770+4 5.583080-1 5.880570+4 5.689210-1 5.971370+4 5.751900-1540027506 2877 6.263230+4 6.197090-1 6.395620+4 6.216090-1 6.732980+4 6.554990-1540027506 2878 7.417700+4 6.520390-1 8.083000+4 6.468230-1 8.632740+4 6.175860-1540027506 2879 9.303579+4 5.910620-1 1.014860+5 5.543130-1 1.105430+5 5.150210-1540027506 2880 1.182690+5 4.789300-1 1.257080+5 4.459300-1 1.386330+5 3.977060-1540027506 2881 1.465310+5 3.688540-1 1.557640+5 3.406430-1 1.697400+5 3.033940-1540027506 2882 1.832450+5 2.703700-1 1.962380+5 2.435960-1 2.103980+5 2.180310-1540027506 2883 2.242480+5 1.965850-1 2.447070+5 1.710070-1 2.631750+5 1.512850-1540027506 2884 2.853300+5 1.313640-1 3.024100+5 1.181310-1 3.280470+5 1.011810-1540027506 2885 3.510790+5 8.821930-2 3.796950+5 7.479190-2 4.249200+5 5.911600-2540027506 2886 4.500800+5 5.175050-2 5.031980+5 3.914340-2 5.477230+5 3.123670-2540027506 2887 5.873780+5 2.554770-2 6.219690+5 2.160160-2 6.593970+5 1.794030-2540027506 2888 7.085680+5 1.353770-2 7.890630+5 8.257860-3 8.238340+5 6.455290-3540027506 2889 9.076530+5 2.919290-3 9.724920+5 8.571350-4 1.000000+6 0.000000+0540027506 2890 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0540027506 2891 540027 0 2892 5400 0 0 2893 0 0 0 2894 5.500000+4 1.317640+2 -1 0 2 25500 1451 1 0.000000+0 0.000000+0 0 0 0 65500 1451 2 0.000000+0 0.000000+0 0 0 3 25500 1451 3 0.000000+0 0.000000+0 0 0 142 305500 1451 4 55-CS LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5500 1451 6 ----JEF-2 MATERIAL 5500 REVISION 0 5500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5500 1451 8 ------ENDF-6 FORMAT 5500 1451 9 ******************************************************************5500 1451 10 * JEF-2 *5500 1451 11 * DATA TAKEN FROM EPDL *5500 1451 12 ******************************************************************5500 1451 13 =================================================================5500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5500 1451 15 ENDF/B-VI FORMAT 5500 1451 16 =================================================================5500 1451 17 CONTENTS 5500 1451 18 =================================================================5500 1451 19 MF/MT DESCRIPTION 5500 1451 20 =================================================================5500 1451 21 23/501 TOTAL CROSS SECTION 5500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 46 =================================================================5500 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 5500 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 5500 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5500 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 5500 1451 51 =================================================================5500 1451 52 WARNING 5500 1451 53 =================================================================5500 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5500 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5500 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5500 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5500 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5500 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5500 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5500 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5500 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5500 1451 63 =================================================================5500 1451 64 DEFINITION OF NEW TYPES OF DATA 5500 1451 65 =================================================================5500 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5500 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5500 1451 68 5500 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5500 1451 70 C2 FIELDS ARE, 5500 1451 71 5500 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5500 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5500 1451 74 5500 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5500 1451 76 5500 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5500 1451 78 5500 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5500 1451 80 T = THE THOMSON CROSS SECTION 5500 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 5500 1451 82 FF(M) = THE ATOMIC FORM FACTOR 5500 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5500 1451 84 F1(E) = THE REAL SCATTERING FACTOR 5500 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 5500 1451 86 5500 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 5500 1451 88 5500 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5500 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5500 1451 91 =================================================================5500 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5500 1451 93 =================================================================5500 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5500 1451 95 HERE - 10 EV TO 100 MEV 5500 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5500 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 5500 1451 98 HERE - PHOTON INTERACTION 5500 1451 99 - AVERAGE FLUORESCENCE YIELD 5500 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5500 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5500 1451 102 HERE - NO SECONDARY ENERGY DATA 5500 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5500 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 5500 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 5500 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 5500 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5500 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE5500 1451 109 (SINCE THEY CAN BE NEGATIVE). 5500 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5500 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 5500 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 5500 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 5500 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 5500 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5500 1451 116 - SCATTERING FACTORS LINEARLY INTERPOLABLE5500 1451 117 =================================================================5500 1451 118 REFERENCES 5500 1451 119 =================================================================5500 1451 120 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5500 1451 121 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5500 1451 122 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5500 1451 123 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5500 1451 124 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5500 1451 125 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5500 1451 126 5500 1451 127 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5500 1451 128 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5500 1451 129 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5500 1451 130 OF THE DATA, ETC. 5500 1451 131 =================================================================5500 1451 132 HISTORY 5500 1451 133 =================================================================5500 1451 134 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5500 1451 135 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5500 1451 136 CROSS SECTIONS. 5500 1451 137 =================================================================5500 1451 138 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5500 1451 139 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5500 1451 140 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5500 1451 141 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5500 1451 142 *RECONSTRUCTED MT NUMBERS 5500 1451 143 516 =+(515,515)+(517,517) 5500 1451 144 522 =+(534,572) 5500 1451 145 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5500 1451 146 1 451 176 15500 1451 147 23 501 549 15500 1451 148 23 502 173 15500 1451 149 23 504 29 15500 1451 150 23 515 30 15500 1451 151 23 516 58 15500 1451 152 23 517 41 15500 1451 153 23 522 345 25500 1451 154 23 534 35 25500 1451 155 23 535 42 25500 1451 156 23 536 49 25500 1451 157 23 537 49 25500 1451 158 23 538 48 25500 1451 159 23 539 52 25500 1451 160 23 540 54 25500 1451 161 23 541 66 25500 1451 162 23 542 66 25500 1451 163 23 543 52 25500 1451 164 23 544 56 25500 1451 165 23 545 60 25500 1451 166 23 546 86 25500 1451 167 23 547 89 25500 1451 168 23 550 59 25500 1451 169 23 551 68 25500 1451 170 23 552 70 25500 1451 171 23 559 59 25500 1451 172 27 502 49 15500 1451 173 27 504 42 15500 1451 174 27 505 145 15500 1451 175 27 506 145 15500 1451 176 5500 1 0 177 5500 0 0 178 5.500000+4 1.317640+2 0 0 0 0550023501 179 0.000000+0 0.000000+0 0 0 1 1637550023501 180 1637 2 0 0 0 0550023501 181 1.000000+1 9.304090+3 1.036650+1 9.415290+3 1.069830+1 9.516050+3550023501 182 1.099720+1 9.606880+3 1.126570+1 9.688550+3 1.154780+1 9.774460+3550023501 183 1.175130+1 9.836430+3 1.212920+1 9.951710+3 1.271900+1 1.013200+4550023501 184 1.286400+1 1.017650+4 1.333740+1 1.032170+4 1.355400+1 1.038900+4550023501 185 1.367630+1 1.040230+4 1.393610+1 1.043110+4 1.433500+1 1.047610+4550023501 186 1.474540+1 1.052390+4 1.493440+1 1.054830+4 1.512470+1 1.057430+4550023501 187 1.522240+1 1.058760+4 1.551590+1 1.063060+4 1.570910+1 1.066780+4550023501 188 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2.551960-2 5.000000+5 2.066600-2 5.477230+5 1.658570-2550023543 1914 6.000000+5 1.331100-2 6.447420+5 1.130640-2 6.804750+5 1.000370-2550023543 1915 7.378210+5 8.325610-3 8.000000+5 6.929000-3 8.458970+5 6.161270-3550023543 1916 9.197270+5 5.166180-3 1.000000+6 4.331800-3 1.022000+6 4.147570-3550023543 1917 1.130270+6 3.407980-3 1.250000+6 2.800270-3 1.369310+6 2.366240-3550023543 1918 1.500000+6 1.999490-3 1.611850+6 1.765840-3 1.795470+6 1.465540-3550023543 1919 2.000000+6 1.216310-3 2.044000+6 1.173300-3 2.249780+6 1.009900-3550023543 1920 2.417610+6 9.024680-4 2.693110+6 7.623610-4 3.000000+6 6.440050-4550023543 1921 3.464100+6 5.240170-4 4.000000+6 4.263850-4 4.472140+6 3.664370-4550023543 1922 5.000000+6 3.149170-4 5.477230+6 2.796690-4 6.000000+6 2.483660-4550023543 1923 7.000000+6 2.044200-4 8.000000+6 1.733790-4 9.000000+6 1.503520-4550023543 1924 1.000000+7 1.326390-4 1.100000+7 1.185950-4 1.200000+7 1.072080-4550023543 1925 1.300000+7 9.776060-5 1.400000+7 8.983180-5 1.500000+7 8.312600-5550023543 1926 1.600000+7 7.730590-5 1.800000+7 6.777450-5 2.000000+7 6.035180-5550023543 1927 2.200000+7 5.440510-5 2.400000+7 4.947070-5 2.600000+7 4.537980-5550023543 1928 2.800000+7 4.191300-5 3.000000+7 3.893130-5 3.464100+7 3.343370-5550023543 1929 4.000000+7 2.871240-5 4.472140+7 2.555020-5 5.000000+7 2.273630-5550023543 1930 6.000000+7 1.881830-5 6.928200+7 1.622510-5 8.000000+7 1.398930-5550023543 1931 8.944271+7 1.248030-5 1.000000+8 1.113410-5 0.000000+0 0.000000+0550023543 1932 550023 0 1933 5.500000+4 1.317640+2 0 0 0 0550023544 1934 1.819700+2 0.000000+0 0 0 1 158550023544 1935 158 2 0 0 0 0550023544 1936 1.819700+2 0.000000+0 1.819700+2 1.553860+5 1.907720+2 1.346900+5550023544 1937 2.000000+2 1.167500+5 2.014150+2 1.139990+5 2.108110+2 1.112220+5550023544 1938 3.000000+2 1.035600+5 4.000000+2 9.023050+4 5.000000+2 7.560179+4550023544 1939 6.000000+2 6.293160+4 6.928200+2 5.285140+4 8.000000+2 4.438580+4550023544 1940 9.239050+2 3.616700+4 1.067000+3 2.947000+4 1.161840+3 2.568230+4550023544 1941 1.320140+3 2.089370+4 1.500000+3 1.699800+4 1.611850+3 1.494960+4550023544 1942 1.795470+3 1.233030+4 2.000000+3 1.017000+4 2.213360+3 8.342040+3550023544 1943 2.388200+3 7.190110+3 2.676670+3 5.753480+3 3.000000+3 4.603900+3550023544 1944 3.223710+3 3.953260+3 3.590940+3 3.145570+3 4.000000+3 2.502900+3550023544 1945 4.375110+3 2.040940+3 4.679350+3 1.751340+3 5.175840+3 1.392130+3550023544 1946 5.725000+3 1.106600+3 6.224491+3 9.019180+2 6.627510+3 7.736580+2550023544 1947 7.281491+3 6.146420+2 8.000000+3 4.883100+2 8.458970+3 4.229950+2550023544 1948 9.197270+3 3.410310+2 1.000000+4 2.749500+2 1.051990+4 2.396820+2550023544 1949 1.149560+4 1.884970+2 1.228630+4 1.574180+2 1.291480+4 1.375210+2550023544 1950 1.391840+4 1.122890+2 1.500000+4 9.168700+1 1.611850+4 7.469770+1550023544 1951 1.701190+4 6.405560+1 1.844550+4 5.086650+1 2.000000+4 4.039300+1550023544 1952 2.103980+4 3.474000+1 2.199390+4 3.044660+1 2.376880+4 2.417010+1550023544 1953 2.519330+4 2.032750+1 2.631750+4 1.785200+1 2.809850+4 1.469240+1550023544 1954 3.000000+4 1.209200+1 3.197810+4 9.915450+0 3.381560+4 8.334900+0550023544 1955 3.550980+4 7.160020+0 3.706180+4 6.268690+0 3.994270+4 4.967480+0550023544 1956 4.224940+4 4.172100+0 4.406640+4 3.660330+0 4.693950+4 3.007920+0550023544 1957 5.000000+4 2.471800+0 5.221370+4 2.150800+0 5.437800+4 1.887840+0550023544 1958 5.868070+4 1.478330+0 6.272390+4 1.193580+0 6.648960+4 9.897970-1550023544 1959 6.996970+4 8.402420-1 7.316380+4 7.280410-1 7.607800+4 6.422260-1550023544 1960 8.146000+4 5.156670-1 8.574490+4 4.374020-1 8.910579+4 3.866020-1550023544 1961 9.439590+4 3.212470-1 1.000000+5 2.669400-1 1.044270+5 2.323560-1550023544 1962 1.087560+5 2.040150-1 1.173610+5 1.598590-1 1.254480+5 1.291370-1550023544 1963 1.329790+5 1.071400-1 1.399390+5 9.098970-2 1.463280+5 7.886810-2550023544 1964 1.521560+5 6.959390-2 1.629200+5 5.591060-2 1.714900+5 4.744460-2550023544 1965 1.851970+5 3.708730-2 2.000000+5 2.899100-2 2.103980+5 2.480690-2550023544 1966 2.199390+5 2.164430-2 2.376880+5 1.704870-2 2.519330+5 1.425460-2550023544 1967 2.631750+5 1.246380-2 2.809850+5 1.019050-2 3.000000+5 8.331800-3550023544 1968 3.223710+5 6.750650-3 3.402370+5 5.765020-3 3.689100+5 4.549710-3550023544 1969 4.000000+5 3.590600-3 4.229490+5 3.073710-3 4.598630+5 2.434490-3550023544 1970 5.000000+5 1.928200-3 5.233180+5 1.708100-3 5.603490+5 1.424150-3550023544 1971 6.000000+5 1.187400-3 6.447420+5 9.926310-4 6.804750+5 8.678230-4550023544 1972 7.378210+5 7.094080-4 8.000000+5 5.799100-4 8.458970+5 5.098840-4550023544 1973 9.197270+5 4.203760-4 1.000000+6 3.465800-4 1.022000+6 3.311340-4550023544 1974 1.130270+6 2.713470-4 1.250000+6 2.223540-4 1.369310+6 1.886040-4550023544 1975 1.500000+6 1.599760-4 1.611850+6 1.412820-4 1.795470+6 1.172560-4550023544 1976 2.000000+6 9.731520-5 2.044000+6 9.387340-5 2.249780+6 8.080030-5550023544 1977 2.417610+6 7.220480-5 2.693110+6 6.099520-5 3.000000+6 5.152580-5550023544 1978 3.464100+6 4.192570-5 4.000000+6 3.411430-5 4.472140+6 2.931800-5550023544 1979 5.000000+6 2.519600-5 5.477230+6 2.237580-5 6.000000+6 1.987130-5550023544 1980 7.000000+6 1.635530-5 8.000000+6 1.387180-5 9.000000+6 1.202940-5550023544 1981 1.000000+7 1.061220-5 1.100000+7 9.488570-6 1.200000+7 8.577500-6550023544 1982 1.300000+7 7.821660-6 1.400000+7 7.187290-6 1.500000+7 6.650770-6550023544 1983 1.600000+7 6.185120-6 1.800000+7 5.422520-6 2.000000+7 4.828640-6550023544 1984 2.200000+7 4.352860-6 2.400000+7 3.958070-6 2.600000+7 3.630760-6550023544 1985 2.800000+7 3.353390-6 3.000000+7 3.114830-6 3.464100+7 2.674970-6550023544 1986 4.000000+7 2.297230-6 4.472140+7 2.044230-6 5.000000+7 1.819090-6550023544 1987 6.000000+7 1.505620-6 6.928200+7 1.298140-6 8.000000+7 1.119260-6550023544 1988 8.944271+7 9.985280-7 1.000000+8 8.908190-7 0.000000+0 0.000000+0550023544 1989 550023 0 1990 5.500000+4 1.317640+2 0 0 0 0550023545 1991 1.677600+2 0.000000+0 0 0 1 169550023545 1992 169 2 0 0 0 0550023545 1993 1.677600+2 0.000000+0 1.677600+2 4.466370+5 1.733240+2 4.058050+5550023545 1994 1.782020+2 3.668930+5 1.816100+2 3.528710+5 2.000000+2 3.344900+5550023545 1995 2.365000+2 3.163490+5 3.000000+2 2.820650+5 3.464100+2 2.524830+5550023545 1996 4.000000+2 2.260030+5 4.472140+2 2.014090+5 5.000000+2 1.794920+5550023545 1997 5.477230+2 1.608190+5 6.000000+2 1.440890+5 6.928200+2 1.181850+5550023545 1998 8.000000+2 9.693850+4 8.597230+2 8.665070+4 9.577710+2 7.322940+4550023545 1999 1.067000+3 6.188700+4 1.161840+3 5.340670+4 1.320140+3 4.281450+4550023545 2000 1.500000+3 3.432300+4 1.611850+3 2.996500+4 1.795470+3 2.444330+4550023545 2001 2.000000+3 1.993900+4 2.213360+3 1.619760+4 2.388200+3 1.386000+4550023545 2002 2.528320+3 1.233090+4 2.754080+3 1.034770+4 3.000000+3 8.683500+3550023545 2003 3.223710+3 7.407440+3 3.402370+3 6.575030+3 3.689100+3 5.498480+3550023545 2004 4.000000+3 4.598200+3 4.349120+3 3.762440+3 4.728710+3 3.078590+3550023545 2005 5.053690+3 2.643270+3 5.401000+3 2.269500+3 5.672850+3 2.005120+3550023545 2006 6.181920+3 1.614390+3 6.593480+3 1.372180+3 6.920040+3 1.214680+3550023545 2007 7.440451+3 1.011670+3 8.000000+3 8.425900+2 8.458970+3 7.261110+2550023545 2008 9.197270+3 5.808760+2 1.000000+4 4.646900+2 1.051990+4 4.030930+2550023545 2009 1.099690+4 3.559320+2 1.188440+4 2.862860+2 1.259670+4 2.431500+2550023545 2010 1.315870+4 2.151200+2 1.404920+4 1.790150+2 1.500000+4 1.489700+2550023545 2011 1.611850+4 1.204650+2 1.701190+4 1.027270+2 1.844550+4 8.089450+1550023545 2012 2.000000+4 6.370200+1 2.103980+4 5.447680+1 2.199390+4 4.750750+1550023545 2013 2.376880+4 3.738750+1 2.519330+4 3.123920+1 2.631750+4 2.730110+1550023545 2014 2.809850+4 2.230490+1 3.000000+4 1.822300+1 3.197810+4 1.482280+1550023545 2015 3.381560+4 1.237230+1 3.550980+4 1.056290+1 3.706180+4 9.198070+0550023545 2016 3.994270+4 7.220170+0 4.224940+4 6.021230+0 4.406640+4 5.254590+0550023545 2017 4.693950+4 4.283700+0 5.000000+4 3.492200+0 5.221370+4 3.018770+0550023545 2018 5.437800+4 2.633400+0 5.648840+4 2.316910+0 6.066860+4 1.822410+0550023545 2019 6.457930+4 1.477120+0 6.820750+4 1.229100+0 7.154890+4 1.046500+0550023545 2020 7.460660+4 9.091230-1 8.027550+4 7.106690-1 8.480810+4 5.908140-1550023545 2021 8.837470+4 5.143850-1 9.400779+4 4.178740-1 1.000000+5 3.394700-1550023545 2022 1.044270+5 2.934320-1 1.087560+5 2.559580-1 1.129770+5 2.251850-1550023545 2023 1.213370+5 1.771060-1 1.291590+5 1.435380-1 1.364150+5 1.194280-1550023545 2024 1.430980+5 1.016790-1 1.492130+5 8.832580-2 1.605510+5 6.903810-2550023545 2025 1.696160+5 5.739050-2 1.767490+5 4.996350-2 1.880160+5 4.058570-2550023545 2026 2.000000+5 3.296800-2 2.103980+5 2.801160-2 2.199390+5 2.429010-2550023545 2027 2.286410+5 2.144160-2 2.447070+5 1.723690-2 2.574930+5 1.463390-2550023545 2028 2.779350+5 1.144750-2 3.000000+5 8.954900-3 3.223710+5 7.204430-3550023545 2029 3.402370+5 6.120030-3 3.689100+5 4.791650-3 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5500 0 0 2875 0 0 0 2876 5.600000+4 1.361600+2 -1 0 2 25600 1451 1 0.000000+0 0.000000+0 0 0 0 65600 1451 2 0.000000+0 0.000000+0 0 0 3 25600 1451 3 0.000000+0 0.000000+0 0 0 142 305600 1451 4 56-BA LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5600 1451 6 ----JEF-2 MATERIAL 5600 REVISION 0 5600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5600 1451 8 ------ENDF-6 FORMAT 5600 1451 9 ******************************************************************5600 1451 10 * JEF-2 *5600 1451 11 * DATA TAKEN FROM EPDL *5600 1451 12 ******************************************************************5600 1451 13 =================================================================5600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5600 1451 15 ENDF/B-VI FORMAT 5600 1451 16 =================================================================5600 1451 17 CONTENTS 5600 1451 18 =================================================================5600 1451 19 MF/MT DESCRIPTION 5600 1451 20 =================================================================5600 1451 21 23/501 TOTAL CROSS SECTION 5600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 46 =================================================================5600 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 5600 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 5600 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5600 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 5600 1451 51 =================================================================5600 1451 52 WARNING 5600 1451 53 =================================================================5600 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5600 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5600 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5600 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5600 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5600 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5600 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5600 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5600 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5600 1451 63 =================================================================5600 1451 64 DEFINITION OF NEW TYPES OF DATA 5600 1451 65 =================================================================5600 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5600 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5600 1451 68 5600 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5600 1451 70 C2 FIELDS ARE, 5600 1451 71 5600 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5600 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5600 1451 74 5600 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5600 1451 76 5600 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5600 1451 78 5600 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5600 1451 80 T = THE THOMSON CROSS SECTION 5600 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 5600 1451 82 FF(M) = THE ATOMIC FORM FACTOR 5600 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5600 1451 84 F1(E) = THE REAL SCATTERING FACTOR 5600 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 5600 1451 86 5600 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 5600 1451 88 5600 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5600 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5600 1451 91 =================================================================5600 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5600 1451 93 =================================================================5600 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5600 1451 95 HERE - 10 EV TO 100 MEV 5600 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5600 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 5600 1451 98 HERE - PHOTON INTERACTION 5600 1451 99 - AVERAGE FLUORESCENCE YIELD 5600 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5600 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5600 1451 102 HERE - NO SECONDARY ENERGY DATA 5600 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5600 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 5600 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 5600 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 5600 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5600 1451 108 - SCATTERING FACTORS LINEARLY INTERPOLABLE5600 1451 109 (SINCE THEY CAN BE NEGATIVE). 5600 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5600 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 5600 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 5600 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 5600 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 5600 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5600 1451 116 - SCATTERING FACTORS LINEARLY INTERPOLABLE5600 1451 117 =================================================================5600 1451 118 REFERENCES 5600 1451 119 =================================================================5600 1451 120 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5600 1451 121 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5600 1451 122 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5600 1451 123 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5600 1451 124 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5600 1451 125 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5600 1451 126 5600 1451 127 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5600 1451 128 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5600 1451 129 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5600 1451 130 OF THE DATA, ETC. 5600 1451 131 =================================================================5600 1451 132 HISTORY 5600 1451 133 =================================================================5600 1451 134 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5600 1451 135 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5600 1451 136 CROSS SECTIONS. 5600 1451 137 =================================================================5600 1451 138 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5600 1451 139 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5600 1451 140 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5600 1451 141 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5600 1451 142 *RECONSTRUCTED MT NUMBERS 5600 1451 143 516 =+(515,515)+(517,517) 5600 1451 144 522 =+(534,572) 5600 1451 145 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5600 1451 146 1 451 176 15600 1451 147 23 501 486 15600 1451 148 23 502 146 15600 1451 149 23 504 30 15600 1451 150 23 515 30 15600 1451 151 23 516 58 15600 1451 152 23 517 41 15600 1451 153 23 522 303 25600 1451 154 23 534 35 25600 1451 155 23 535 42 25600 1451 156 23 536 48 25600 1451 157 23 537 49 25600 1451 158 23 538 47 25600 1451 159 23 539 51 25600 1451 160 23 540 53 25600 1451 161 23 541 64 25600 1451 162 23 542 65 25600 1451 163 23 543 52 25600 1451 164 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1.887140+1 3.909910+4 1.888850+1 3.914230+4 1.919990+1 3.992960+4560023501 189 1.967660+1 4.113530+4 2.000000+1 4.195380+4 2.016520+1 4.218270+4560023501 190 2.042710+1 4.254780+4 2.062580+1 4.282550+4 2.092740+1 4.324830+4560023501 191 2.094430+1 4.327210+4 2.123340+1 4.367920+4 2.139410+1 4.391020+4560023501 192 2.146140+1 4.400840+4 2.150210+1 4.406850+4 2.153250+1 4.411380+4560023501 193 2.156100+1 4.415670+4 2.158130+1 4.418760+4 2.160060+1 4.421710+4560023501 194 2.161910+1 4.424570+4 2.163670+1 4.427300+4 2.165910+1 4.430810+4560023501 195 2.168000+1 4.434120+4 2.169970+1 4.437270+4 2.172700+1 4.441660+4560023501 196 2.175210+1 4.445750+4 2.178210+1 4.450680+4 2.182050+1 4.457030+4560023501 197 2.186250+1 4.463990+4 2.190980+1 4.471780+4 2.200000+1 4.485740+4560023501 198 2.200000+1 1.421460+7 2.206980+1 1.406630+7 2.214180+1 1.391340+7560023501 199 2.224170+1 1.370120+7 2.233350+1 1.350620+7 2.244000+1 1.328000+7560023501 200 2.249650+1 1.316000+7 2.283760+1 1.243530+7 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3.927150+2560023545 1869 1.188440+4 3.162960+2 1.259670+4 2.689090+2 1.315870+4 2.380890+2560023545 1870 1.404920+4 1.983540+2 1.500000+4 1.652500+2 1.611850+4 1.337990+2560023545 1871 1.701190+4 1.142050+2 1.844550+4 9.006100+1 2.000000+4 7.102100+1560023545 1872 2.103980+4 6.078630+1 2.199390+4 5.304830+1 2.376880+4 4.180110+1560023545 1873 2.519330+4 3.496030+1 2.631750+4 3.057490+1 2.809850+4 2.500640+1560023545 1874 3.000000+4 2.045200+1 3.197810+4 1.665170+1 3.381560+4 1.391050+1560023545 1875 3.550980+4 1.188470+1 3.706180+4 1.035570+1 3.994270+4 8.137950+0560023545 1876 4.224940+4 6.792290+0 4.406640+4 5.931200+0 4.693950+4 4.839840+0560023545 1877 5.000000+4 3.949300+0 5.221370+4 3.415780+0 5.437800+4 2.981250+0560023545 1878 5.648840+4 2.624230+0 6.066860+4 2.066000+0 6.457930+4 1.675880+0560023545 1879 6.820750+4 1.395460+0 7.154890+4 1.188870+0 7.460660+4 1.033350+0560023545 1880 8.027550+4 8.085250-1 8.480810+4 6.726340-1 8.837470+4 5.859270-1560023545 1881 9.400779+4 4.763650-1 1.000000+5 3.872900-1 1.044270+5 3.349100-1560023545 1882 1.087560+5 2.922570-1 1.129770+5 2.572160-1 1.213370+5 2.024410-1560023545 1883 1.291590+5 1.641720-1 1.364150+5 1.366710-1 1.430980+5 1.164140-1560023545 1884 1.492130+5 1.011680-1 1.605510+5 7.913320-2 1.696160+5 6.581820-2560023545 1885 1.767490+5 5.732390-2 1.880160+5 4.659310-2 2.000000+5 3.787100-2560023545 1886 2.103980+5 3.218860-2 2.199390+5 2.792050-2 2.286410+5 2.465280-2560023545 1887 2.447070+5 1.982750-2 2.574930+5 1.683900-2 2.779350+5 1.317930-2560023545 1888 3.000000+5 1.031500-2 3.223710+5 8.300820-3 3.402370+5 7.052770-3560023545 1889 3.689100+5 5.523550-3 4.000000+5 4.325900-3 4.229490+5 3.692170-3560023545 1890 4.598630+5 2.911310-3 5.000000+5 2.295600-3 5.233180+5 2.032140-3560023545 1891 5.603490+5 1.692550-3 6.000000+5 1.409700-3 6.447420+5 1.179780-3560023545 1892 6.804750+5 1.032300-3 7.378210+5 8.449190-4 8.000000+5 6.915500-4560023545 1893 8.458970+5 6.097420-4 9.197270+5 5.048120-4 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3.464100+7 3.213580-6 4.000000+7 2.759520-6 4.472140+7 2.455540-6560023545 1907 5.000000+7 2.185040-6 6.000000+7 1.808180-6 6.928200+7 1.559100-6560023545 1908 8.000000+7 1.344330-6 8.944271+7 1.199260-6 1.000000+8 1.069840-6560023545 1909 560023 0 1910 5.600000+4 1.361600+2 0 0 0 0560023546 1911 1.021600+2 0.000000+0 0 0 1 209560023546 1912 209 2 0 0 0 0560023546 1913 1.021600+2 0.000000+0 1.021600+2 1.545340+6 1.079980+2 1.344470+6560023546 1914 1.138970+2 1.110030+6 1.170270+2 9.576170+5 1.202420+2 8.261310+5560023546 1915 1.235870+2 6.942700+5 1.270250+2 5.834560+5 1.315340+2 4.795760+5560023546 1916 1.362040+2 3.941910+5 1.412220+2 3.330360+5 1.464250+2 2.813690+5560023546 1917 1.500000+2 2.557260+5 1.587050+2 2.126530+5 1.682110+2 1.884890+5560023546 1918 1.750180+2 1.822640+5 1.835490+2 1.859480+5 1.921200+2 2.025650+5560023546 1919 2.083000+2 2.432860+5 2.308450+2 2.941240+5 2.614700+2 3.396880+5560023546 1920 3.000000+2 3.618890+5 3.464100+2 3.561540+5 4.000000+2 3.281680+5560023546 1921 4.472140+2 2.937190+5 5.000000+2 2.628870+5 5.477230+2 2.322170+5560023546 1922 6.000000+2 2.051250+5 6.480740+2 1.812100+5 7.000000+2 1.600840+5560023546 1923 7.453910+2 1.424470+5 8.190560+2 1.195670+5 9.000000+2 1.003620+5560023546 1924 9.547910+2 8.857290+4 1.043290+3 7.343420+4 1.140000+3 6.088300+4560023546 1925 1.220960+3 5.187290+4 1.285430+3 4.600170+4 1.388580+3 3.841710+4560023546 1926 1.500000+3 3.208300+4 1.611850+3 2.670770+4 1.701190+3 2.327590+4560023546 1927 1.844550+3 1.893700+4 2.000000+3 1.540700+4 2.157980+3 1.249990+4560023546 1928 2.284600+3 1.068560+4 2.488600+3 8.445680+3 2.710810+3 6.675310+3560023546 1929 2.845900+3 5.775390+3 2.969610+3 5.088060+3 3.199190+3 4.076160+3560023546 1930 3.382940+3 3.451650+3 3.527650+3 3.046890+3 3.756410+3 2.526990+3560023546 1931 4.000000+3 2.095800+3 4.178310+3 1.822420+3 4.509680+3 1.426990+3560023546 1932 4.775350+3 1.187820+3 4.984820+3 1.035140+3 5.316380+3 8.421130+2560023546 1933 5.670000+3 6.850800+2 5.919310+3 5.917240+2 6.146440+3 5.205350+2560023546 1934 6.565080+3 4.159380+2 6.897670+3 3.515310+2 7.158130+3 3.098590+2560023546 1935 7.567370+3 2.564280+2 8.000000+3 2.122100+2 8.458970+3 1.740920+2560023546 1936 8.820401+3 1.500680+2 9.391701+3 1.201020+2 1.000000+4 9.612000+1560023546 1937 1.051990+4 7.970980+1 1.099690+4 6.766630+1 1.143200+4 5.863080+1560023546 1938 1.182690+4 5.172020+1 1.255090+4 4.152830+1 1.312290+4 3.522560+1560023546 1939 1.403010+4 2.751870+1 1.500000+4 2.149800+1 1.554920+4 1.872460+1560023546 1940 1.655920+4 1.470420+1 1.735950+4 1.226620+1 1.798500+4 1.070690+1560023546 1941 1.896570+4 8.731590+0 2.000000+4 7.120700+0 2.103980+4 5.826150+0560023546 1942 2.199390+4 4.888030+0 2.286410+4 4.191960+0 2.365370+4 3.664710+0560023546 1943 2.510180+4 2.896530+0 2.624580+4 2.428050+0 2.713780+4 2.127120+0560023546 1944 2.853300+4 1.744190+0 3.000000+4 1.430200+0 3.132820+4 1.198850+0560023546 1945 3.262680+4 1.016070+0 3.389300+4 8.701070-1 3.512470+4 7.523690-1560023546 1946 3.632000+4 6.565010-1 3.747760+4 5.777490-1 3.974840+4 4.546580-1560023546 1947 4.184790+4 3.686690-1 4.377570+4 3.068810-1 4.553520+4 2.613730-1560023546 1948 4.713280+4 2.271260-1 5.006450+4 1.776340-1 5.238240+4 1.477300-1560023546 1949 5.419100+4 1.286550-1 5.702160+4 1.045600-1 6.000000+4 8.497700-2560023546 1950 6.194650+4 7.457060-2 6.576800+4 5.837030-2 6.930470+4 4.711000-2560023546 1951 7.255500+4 3.905430-2 7.552379+4 3.314410-2 7.822100+4 2.871110-2560023546 1952 8.317500+4 2.233200-2 8.709529+4 1.849640-2 9.015629+4 1.605850-2560023546 1953 9.495060+4 1.299070-2 1.000000+5 1.050900-2 1.051990+5 8.574060-3560023546 1954 1.099690+5 7.175600-3 1.143200+5 6.140400-3 1.182690+5 5.357870-3560023546 1955 1.255090+5 4.220700-3 1.312290+5 3.529220-3 1.356890+5 3.086030-3560023546 1956 1.426650+5 2.523370-3 1.500000+5 2.063300-3 1.554920+5 1.793140-3560023546 1957 1.655920+5 1.402670-3 1.735950+5 1.166710-3 1.798500+5 1.016170-3560023546 1958 1.896570+5 8.259890-4 2.000000+5 6.714000-4 2.103980+5 5.553420-4560023546 1959 2.199390+5 4.703720-4 2.286410+5 4.067600-4 2.365370+5 3.581970-4560023546 1960 2.510180+5 2.867440-4 2.624580+5 2.426750-4 2.806020+5 1.889380-4560023546 1961 3.000000+5 1.471000-4 3.109840+5 1.295950-4 3.311840+5 1.038240-4560023546 1962 3.471900+5 8.791870-5 3.726600+5 6.851000-5 4.000000+5 5.338600-5560023546 1963 4.229490+5 4.432080-5 4.410200+5 3.854720-5 4.695850+5 3.126590-5560023546 1964 5.000000+5 2.536000-5 5.233180+5 2.192650-5 5.603490+5 1.762790-5560023546 1965 6.000000+5 1.417200-5 6.447420+5 1.146390-5 6.804750+5 9.778210-6560023546 1966 7.378210+5 7.702800-6 8.000000+5 6.067900-6 8.458970+5 5.202170-6560023546 1967 9.197270+5 4.129560-6 1.000000+6 3.278100-6 1.022000+6 3.113510-6560023546 1968 1.130270+6 2.537910-6 1.250000+6 2.068730-6 1.369310+6 1.769150-6560023546 1969 1.500000+6 1.512950-6 1.611850+6 1.335920-6 1.795470+6 1.108450-6560023546 1970 2.000000+6 9.197110-7 2.044000+6 8.873580-7 2.249780+6 7.637830-7560023546 1971 2.417610+6 6.825320-7 2.693110+6 5.765720-7 3.000000+6 4.870610-7560023546 1972 3.464100+6 3.960600-7 4.000000+6 3.220610-7 4.472140+6 2.767730-7560023546 1973 5.000000+6 2.378540-7 5.477230+6 2.111980-7 6.000000+6 1.875300-7560023546 1974 7.000000+6 1.543240-7 8.000000+6 1.308540-7 9.000000+6 1.134710-7560023546 1975 1.000000+7 1.000890-7 1.100000+7 8.947110-8 1.200000+7 8.088280-8560023546 1976 1.300000+7 7.376510-8 1.400000+7 6.776510-8 1.500000+7 6.267680-8560023546 1977 1.600000+7 5.829440-8 1.800000+7 5.111790-8 2.000000+7 4.552970-8560023546 1978 2.200000+7 4.100020-8 2.400000+7 3.732370-8 2.600000+7 3.420610-8560023546 1979 2.800000+7 3.158840-8 3.000000+7 2.935310-8 3.464100+7 2.520560-8560023546 1980 4.000000+7 2.164420-8 4.472140+7 1.925990-8 5.000000+7 1.713830-8560023546 1981 6.000000+7 1.418240-8 6.928200+7 1.222870-8 8.000000+7 1.054420-8560023546 1982 8.944271+7 9.406310-9 1.000000+8 8.391220-9 0.000000+0 0.000000+0560023546 1983 560023 0 1984 5.600000+4 1.361600+2 0 0 0 0560023547 1985 9.946000+1 0.000000+0 0 0 1 219560023547 1986 219 2 0 0 0 0560023547 1987 9.946000+1 0.000000+0 9.946000+1 1.484090+6 1.002020+2 1.721540+6560023547 1988 1.009490+2 1.996980+6 1.019600+2 2.330620+6 1.036430+2 2.761300+6560023547 1989 1.066090+2 3.281440+6 1.089090+2 3.499870+6 1.111100+2 3.548730+6560023547 1990 1.142140+2 3.386120+6 1.171380+2 3.057890+6 1.208150+2 2.531630+6560023547 1991 1.241270+2 2.048000+6 1.271000+2 1.640110+6 1.301440+2 1.313450+6560023547 1992 1.330640+2 1.044810+6 1.352960+2 8.800520+5 1.387160+2 6.803190+5560023547 1993 1.422220+2 5.259160+5 1.447690+2 4.456230+5 1.473610+2 3.775880+5560023547 1994 1.500000+2 3.260590+5 1.521490+2 2.953480+5 1.545900+2 2.771320+5560023547 1995 1.592460+2 2.600400+5 1.663400+2 2.539330+5 1.732070+2 2.663500+5560023547 1996 1.921200+2 3.321750+5 2.083000+2 3.985500+5 2.308450+2 4.748490+5560023547 1997 2.614700+2 5.378950+5 3.000000+2 5.630780+5 3.464100+2 5.463030+5560023547 1998 4.000000+2 4.980820+5 4.472140+2 4.429570+5 5.000000+2 3.939330+5560023547 1999 5.477230+2 3.464630+5 6.000000+2 3.047130+5 6.480740+2 2.683690+5560023547 2000 7.000000+2 2.363600+5 7.453910+2 2.098630+5 8.190560+2 1.755820+5560023547 2001 9.000000+2 1.469000+5 9.547910+2 1.293870+5 1.043290+3 1.069520+5560023547 2002 1.140000+3 8.840800+4 1.220960+3 7.516860+4 1.285430+3 6.655710+4560023547 2003 1.388580+3 5.545390+4 1.500000+3 4.620300+4 1.611850+3 3.837990+4560023547 2004 1.701190+3 3.339480+4 1.844550+3 2.710450+4 2.000000+3 2.199900+4560023547 2005 2.157980+3 1.780800+4 2.284600+3 1.519750+4 2.488600+3 1.198150+4560023547 2006 2.710810+3 9.445991+3 2.845900+3 8.160250+3 2.969610+3 7.179640+3560023547 2007 3.199190+3 5.738540+3 3.382940+3 4.850930+3 3.527650+3 4.276550+3560023547 2008 3.756410+3 3.539940+3 4.000000+3 2.930200+3 4.178310+3 2.544250+3560023547 2009 4.340830+3 2.248480+3 4.640620+3 1.811200+3 4.878960+3 1.540010+3560023547 2010 5.259630+3 1.207430+3 5.670000+3 9.466700+2 5.919310+3 8.163640+2560023547 2011 6.146440+3 7.171470+2 6.565080+3 5.716440+2 6.897670+3 4.822410+2560023547 2012 7.158130+3 4.244900+2 7.567370+3 3.505690+2 8.000000+3 2.895200+2560023547 2013 8.458970+3 2.369750+2 8.820401+3 2.039250+2 9.391701+3 1.627890+2560023547 2014 1.000000+4 1.299500+2 1.051990+4 1.075160+2 1.099690+4 9.108710+1560023547 2015 1.143200+4 7.878500+1 1.182690+4 6.939150+1 1.255090+4 5.556700+1560023547 2016 1.312290+4 4.703810+1 1.403010+4 3.663520+1 1.500000+4 2.853300+1560023547 2017 1.554920+4 2.480590+1 1.655920+4 1.941630+1 1.735950+4 1.615760+1560023547 2018 1.798500+4 1.407780+1 1.896570+4 1.144910+1 2.000000+4 9.311200+0560023547 2019 2.103980+4 7.595700+0 2.199390+4 6.356000+0 2.286410+4 5.438430+0560023547 2020 2.365370+4 4.744900+0 2.510180+4 3.737190+0 2.624580+4 3.124530+0560023547 2021 2.713780+4 2.731890+0 2.853300+4 2.233480+0 3.000000+4 1.826000+0560023547 2022 3.097330+4 1.599700+0 3.288400+4 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DATA 5700 1451 8 ------ENDF-6 FORMAT 5700 1451 9 ******************************************************************5700 1451 10 * JEF-2 *5700 1451 11 * DATA TAKEN FROM EPDL *5700 1451 12 ******************************************************************5700 1451 13 =================================================================5700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5700 1451 15 ENDF/B-VI FORMAT 5700 1451 16 =================================================================5700 1451 17 CONTENTS 5700 1451 18 =================================================================5700 1451 19 MF/MT DESCRIPTION 5700 1451 20 =================================================================5700 1451 21 23/501 TOTAL CROSS SECTION 5700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 42 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 43 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 44 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 45 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 46 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 48 =================================================================5700 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 5700 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 5700 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5700 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 5700 1451 53 =================================================================5700 1451 54 WARNING 5700 1451 55 =================================================================5700 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5700 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5700 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5700 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5700 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5700 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5700 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5700 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5700 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5700 1451 65 =================================================================5700 1451 66 DEFINITION OF NEW TYPES OF DATA 5700 1451 67 =================================================================5700 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5700 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5700 1451 70 5700 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5700 1451 72 C2 FIELDS ARE, 5700 1451 73 5700 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5700 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5700 1451 76 5700 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5700 1451 78 5700 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5700 1451 80 5700 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5700 1451 82 T = THE THOMSON CROSS SECTION 5700 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 5700 1451 84 FF(M) = THE ATOMIC FORM FACTOR 5700 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5700 1451 86 F1(E) = THE REAL SCATTERING FACTOR 5700 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 5700 1451 88 5700 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 5700 1451 90 5700 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5700 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5700 1451 93 =================================================================5700 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5700 1451 95 =================================================================5700 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5700 1451 97 HERE - 10 EV TO 100 MEV 5700 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5700 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 5700 1451 100 HERE - PHOTON INTERACTION 5700 1451 101 - AVERAGE FLUORESCENCE YIELD 5700 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5700 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5700 1451 104 HERE - NO SECONDARY ENERGY DATA 5700 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5700 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 5700 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 5700 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 5700 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5700 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE5700 1451 111 (SINCE THEY CAN BE NEGATIVE). 5700 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5700 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 5700 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 5700 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 5700 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 5700 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5700 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE5700 1451 119 =================================================================5700 1451 120 REFERENCES 5700 1451 121 =================================================================5700 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5700 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5700 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5700 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5700 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5700 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5700 1451 128 5700 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5700 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5700 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5700 1451 132 OF THE DATA, ETC. 5700 1451 133 =================================================================5700 1451 134 HISTORY 5700 1451 135 =================================================================5700 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5700 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5700 1451 138 CROSS SECTIONS. 5700 1451 139 =================================================================5700 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5700 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5700 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5700 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5700 1451 144 *RECONSTRUCTED MT NUMBERS 5700 1451 145 516 =+(515,515)+(517,517) 5700 1451 146 522 =+(534,572) 5700 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5700 1451 148 1 451 180 15700 1451 149 23 501 509 15700 1451 150 23 502 140 15700 1451 151 23 504 30 15700 1451 152 23 515 30 15700 1451 153 23 516 58 15700 1451 154 23 517 41 15700 1451 155 23 522 333 25700 1451 156 23 534 35 25700 1451 157 23 535 42 25700 1451 158 23 536 48 25700 1451 159 23 537 49 25700 1451 160 23 538 47 25700 1451 161 23 539 51 25700 1451 162 23 540 53 25700 1451 163 23 541 65 25700 1451 164 23 542 65 25700 1451 165 23 543 52 25700 1451 166 23 544 55 25700 1451 167 23 545 57 25700 1451 168 23 546 70 25700 1451 169 23 547 76 25700 1451 170 23 550 57 25700 1451 171 23 551 65 25700 1451 172 23 552 66 25700 1451 173 23 553 81 25700 1451 174 23 554 80 25700 1451 175 23 559 62 25700 1451 176 27 502 52 15700 1451 177 27 504 43 15700 1451 178 27 505 119 15700 1451 179 27 506 119 15700 1451 180 5700 1 0 181 5700 0 0 182 5.700000+4 1.377120+2 0 0 0 0570023501 183 0.000000+0 0.000000+0 0 0 1 1516570023501 184 1516 2 0 0 0 0570023501 185 1.000000+1 1.083220+7 1.071260+1 1.044690+7 1.128020+1 1.014130+7570023501 186 1.154780+1 9.997890+6 1.218840+1 9.654480+6 1.224740+1 9.622980+6570023501 187 1.316980+1 8.997660+6 1.321580+1 8.966650+6 1.396500+1 8.461750+6570023501 188 1.425870+1 8.264530+6 1.499770+1 7.695410+6 1.500000+1 7.693640+6570023501 189 1.569040+1 7.121380+6 1.580620+1 7.025730+6 1.597430+1 6.886880+6570023501 190 1.688590+1 6.211830+6 1.697380+1 6.146740+6 1.701190+1 6.118520+6570023501 191 1.790570+1 5.475840+6 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204 2.559000+1 1.144610+7 2.569050+1 1.132920+7 2.578310+1 1.122140+7570023501 205 2.586990+1 1.112040+7 2.599150+1 1.097890+7 2.607380+1 1.088320+7570023501 206 2.610000+1 1.085270+7 2.639940+1 1.050400+7 2.719470+1 9.577830+6570023501 207 2.729540+1 9.481160+6 2.768030+1 9.111660+6 2.781370+1 8.991280+6570023501 208 2.797710+1 8.843820+6 2.809790+1 8.734820+6 2.821340+1 8.630600+6570023501 209 2.833000+1 8.525390+6 2.833000+1 1.303800+7 2.843250+1 1.290880+7570023501 210 2.855550+1 1.275380+7 2.863440+1 1.265440+7 2.881680+1 1.242450+7570023501 211 2.890000+1 1.231970+7 2.912950+1 1.204410+7 3.000000+1 1.099910+7570023501 212 3.021280+1 1.075750+7 3.040010+1 1.054480+7 3.050390+1 1.042690+7570023501 213 3.198010+1 8.956920+6 3.223710+1 8.726410+6 3.333030+1 7.817240+6570023501 214 3.402370+1 7.290270+6 3.437940+1 7.041330+6 3.455840+1 6.916050+6570023501 215 3.464100+1 6.864440+6 3.508870+1 6.592890+6 3.589700+1 6.102620+6570023501 216 3.590940+1 6.095090+6 3.681750+1 5.567210+6 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6.353600+0 4.224940+4 5.346920+0 4.406640+4 4.698040+0570023544 1870 4.693950+4 3.869330+0 5.000000+4 3.186800+0 5.221370+4 2.776510+0570023544 1871 5.437800+4 2.439980+0 5.868070+4 1.915020+0 6.272390+4 1.549210+0570023544 1872 6.648960+4 1.286940+0 6.996970+4 1.094140+0 7.316380+4 9.492870-1570023544 1873 7.607800+4 8.383640-1 8.146000+4 6.745190-1 8.574490+4 5.730140-1570023544 1874 9.259850+4 4.486640-1 1.000000+5 3.513000-1 1.044270+5 3.061330-1570023544 1875 1.087560+5 2.690780-1 1.173610+5 2.112600-1 1.254480+5 1.709580-1570023544 1876 1.329790+5 1.420530-1 1.399390+5 1.208010-1 1.463280+5 1.048300-1570023544 1877 1.521560+5 9.259710-2 1.629200+5 7.452400-2 1.714900+5 6.332420-2570023544 1878 1.851970+5 4.959980-2 2.000000+5 3.885000-2 2.103980+5 3.327670-2570023544 1879 2.199390+5 2.906000-2 2.376880+5 2.292540-2 2.519330+5 1.919040-2570023544 1880 2.631750+5 1.679420-2 2.809850+5 1.374900-2 3.000000+5 1.125600-2570023544 1881 3.223710+5 9.130110-3 3.402370+5 7.803600-3 3.689100+5 6.166280-3570023544 1882 4.000000+5 4.872500-3 4.229490+5 4.174180-3 4.598630+5 3.309790-3570023544 1883 5.000000+5 2.624400-3 5.233180+5 2.326330-3 5.603490+5 1.941480-3570023544 1884 6.000000+5 1.620300-3 6.447420+5 1.355350-3 6.804750+5 1.185470-3570023544 1885 7.378210+5 9.697360-4 8.000000+5 7.932600-4 8.458970+5 6.978730-4570023544 1886 9.197270+5 5.758600-4 1.000000+6 4.751800-4 1.022000+6 4.540500-4570023544 1887 1.130270+6 3.721020-4 1.250000+6 3.049440-4 1.369310+6 2.585730-4570023544 1888 1.500000+6 2.192540-4 1.611850+6 1.935970-4 1.795470+6 1.606290-4570023544 1889 2.000000+6 1.332760-4 2.044000+6 1.285540-4 2.249780+6 1.106330-4570023544 1890 2.417610+6 9.885090-5 2.693110+6 8.348870-5 3.000000+6 7.051390-5570023544 1891 3.464100+6 5.731680-5 4.000000+6 4.658960-5 4.472140+6 4.003990-5570023544 1892 5.000000+6 3.441100-5 5.477230+6 3.055070-5 6.000000+6 2.712350-5570023544 1893 7.000000+6 2.231500-5 8.000000+6 1.891910-5 9.000000+6 1.640470-5570023544 1894 1.000000+7 1.446480-5 1.100000+7 1.293020-5 1.200000+7 1.168670-5570023544 1895 1.300000+7 1.065580-5 1.400000+7 9.794040-6 1.500000+7 9.058210-6570023544 1896 1.600000+7 8.424680-6 1.800000+7 7.385860-6 2.000000+7 6.575270-6570023544 1897 2.200000+7 5.922070-6 2.400000+7 5.390850-6 2.600000+7 4.942270-6570023544 1898 2.800000+7 4.564520-6 3.000000+7 4.237920-6 3.464100+7 3.639460-6570023544 1899 4.000000+7 3.125510-6 4.472140+7 2.781120-6 5.000000+7 2.474680-6570023544 1900 6.000000+7 2.047740-6 6.928200+7 1.765650-6 8.000000+7 1.522420-6570023544 1901 8.944271+7 1.358120-6 1.000000+8 1.211560-6 0.000000+0 0.000000+0570023544 1902 570023 0 1903 5.700000+4 1.377120+2 0 0 0 0570023545 1904 2.070700+2 0.000000+0 0 0 1 162570023545 1905 162 2 0 0 0 0570023545 1906 2.070700+2 0.000000+0 2.070700+2 3.404600+5 2.292200+2 3.391210+5570023545 1907 3.000000+2 2.998870+5 3.464100+2 2.707880+5 4.000000+2 2.445120+5570023545 1908 4.472140+2 2.192780+5 5.000000+2 1.966490+5 5.477230+2 1.768330+5570023545 1909 6.000000+2 1.590130+5 6.537370+2 1.415340+5 7.435010+2 1.188500+5570023545 1910 8.455900+2 9.980250+4 9.254120+2 8.654260+4 1.059490+3 6.988150+4570023545 1911 1.213000+3 5.642800+4 1.348890+3 4.694340+4 1.500000+3 3.905300+4570023545 1912 1.611850+3 3.416460+4 1.795470+3 2.795500+4 2.000000+3 2.287400+4570023545 1913 2.213360+3 1.863590+4 2.388200+3 1.598110+4 2.676670+3 1.269080+4570023545 1914 3.000000+3 1.007800+4 3.223710+3 8.615790+3 3.402370+3 7.660120+3570023545 1915 3.689100+3 6.421640+3 4.000000+3 5.383400+3 4.207960+3 4.780650+3570023545 1916 4.598240+3 3.883660+3 4.914520+3 3.323200+3 5.430210+3 2.630440+3570023545 1917 6.000000+3 2.082100+3 6.447420+3 1.738060+3 6.804750+3 1.517870+3570023545 1918 7.378210+3 1.238780+3 8.000000+3 1.011000+3 8.458970+3 8.729430+2570023545 1919 9.197270+3 7.003870+2 1.000000+4 5.619400+2 1.051990+4 4.883040+2570023545 1920 1.099690+4 4.318320+2 1.188440+4 3.482640+2 1.259670+4 2.963840+2570023545 1921 1.374590+4 2.326870+2 1.500000+4 1.826800+2 1.611850+4 1.480930+2570023545 1922 1.701190+4 1.265220+2 1.844550+4 9.991090+1 2.000000+4 7.889700+1570023545 1923 2.103980+4 6.758280+1 2.199390+4 5.902210+1 2.376880+4 4.656690+1570023545 1924 2.519330+4 3.898300+1 2.631750+4 3.411710+1 2.809850+4 2.793310+1570023545 1925 3.000000+4 2.287000+1 3.197810+4 1.863800+1 3.381560+4 1.558260+1570023545 1926 3.550980+4 1.332300+1 3.706180+4 1.161630+1 3.994270+4 9.138680+0570023545 1927 4.224940+4 7.633880+0 4.406640+4 6.670240+0 4.693950+4 5.447990+0570023545 1928 5.000000+4 4.449700+0 5.221370+4 3.850680+0 5.437800+4 3.362550+0570023545 1929 5.648840+4 2.961280+0 6.066860+4 2.333460+0 6.457930+4 1.894330+0570023545 1930 6.820750+4 1.578440+0 7.154890+4 1.345560+0 7.460660+4 1.170160+0570023545 1931 8.027550+4 9.164210-1 8.480810+4 7.629240-1 8.837470+4 6.649220-1570023545 1932 9.400779+4 5.410100-1 1.000000+5 4.401900-1 1.044270+5 3.808120-1570023545 1933 1.087560+5 3.324400-1 1.129770+5 2.926870-1 1.213370+5 2.305140-1570023545 1934 1.291590+5 1.870490-1 1.364150+5 1.557960-1 1.430980+5 1.327640-1570023545 1935 1.492130+5 1.154230-1 1.605510+5 9.034580-2 1.696160+5 7.518310-2570023545 1936 1.767490+5 6.550580-2 1.880160+5 5.327450-2 2.000000+5 4.332700-2570023545 1937 2.103980+5 3.683840-2 2.199390+5 3.196320-2 2.286410+5 2.822970-2570023545 1938 2.447070+5 2.271450-2 2.574930+5 1.929750-2 2.779350+5 1.511120-2570023545 1939 3.000000+5 1.183300-2 3.223710+5 9.526090-3 3.402370+5 8.096170-3570023545 1940 3.689100+5 6.343470-3 4.000000+5 4.970200-3 4.229490+5 4.243120-3570023545 1941 4.598630+5 3.346980-3 5.000000+5 2.640100-3 5.233180+5 2.337080-3570023545 1942 5.603490+5 1.946500-3 6.000000+5 1.621200-3 6.447420+5 1.356860-3570023545 1943 6.804750+5 1.187300-3 7.378210+5 9.718470-4 8.000000+5 7.954900-4570023545 1944 8.458970+5 7.012930-4 9.197270+5 5.804920-4 1.000000+6 4.805000-4570023545 1945 1.022000+6 4.593200-4 1.130270+6 3.766220-4 1.250000+6 3.088140-4570023545 1946 1.369310+6 2.616620-4 1.500000+6 2.217090-4 1.611850+6 1.957650-4570023545 1947 1.795470+6 1.624280-4 2.000000+6 1.347680-4 2.044000+6 1.299930-4570023545 1948 2.249780+6 1.118710-4 2.417610+6 9.995760-5 2.693110+6 8.442340-5570023545 1949 3.000000+6 7.130340-5 3.464100+6 5.795850-5 4.000000+6 4.711120-5570023545 1950 4.472140+6 4.048820-5 5.000000+6 3.479620-5 5.477230+6 3.089270-5570023545 1951 6.000000+6 2.742710-5 7.000000+6 2.256480-5 8.000000+6 1.913100-5570023545 1952 9.000000+6 1.658840-5 1.000000+7 1.462670-5 1.100000+7 1.307490-5570023545 1953 1.200000+7 1.181760-5 1.300000+7 1.077510-5 1.400000+7 9.903690-6570023545 1954 1.500000+7 9.159620-6 1.600000+7 8.519010-6 1.800000+7 7.468550-6570023545 1955 2.000000+7 6.648880-6 2.200000+7 5.988370-6 2.400000+7 5.451210-6570023545 1956 2.600000+7 4.997600-6 2.800000+7 4.615620-6 3.000000+7 4.285370-6570023545 1957 3.464100+7 3.680210-6 4.000000+7 3.160510-6 4.472140+7 2.812260-6570023545 1958 5.000000+7 2.502380-6 6.000000+7 2.070660-6 6.928200+7 1.785420-6570023545 1959 8.000000+7 1.539470-6 8.944271+7 1.373340-6 1.000000+8 1.225130-6570023545 1960 570023 0 1961 5.700000+4 1.377120+2 0 0 0 0570023546 1962 1.168300+2 0.000000+0 0 0 1 201570023546 1963 201 2 0 0 0 0570023546 1964 1.168300+2 0.000000+0 1.168300+2 6.438160+5 1.299010+2 5.215370+5570023546 1965 1.345750+2 4.736800+5 1.407140+2 4.089040+5 1.504520+2 3.279630+5570023546 1966 1.608630+2 2.630440+5 1.708790+2 2.241280+5 1.774530+2 2.107550+5570023546 1967 1.855890+2 2.013400+5 1.940490+2 2.040250+5 2.000000+2 2.130640+5570023546 1968 2.292200+2 2.825120+5 2.650950+2 3.408750+5 2.847100+2 3.590810+5570023546 1969 3.239420+2 3.703580+5 3.780950+2 3.556260+5 4.728710+2 2.960920+5570023546 1970 5.326560+2 2.550550+5 6.000000+2 2.197050+5 6.480740+2 1.948350+5570023546 1971 7.000000+2 1.727800+5 7.453910+2 1.541580+5 8.190560+2 1.299190+5570023546 1972 9.000000+2 1.094920+5 9.697220+2 9.355870+4 1.025540+3 8.314970+4570023546 1973 1.115340+3 6.966670+4 1.213000+3 5.837000+4 1.279140+3 5.158820+4570023546 1974 1.385180+3 4.286390+4 1.500000+3 3.561500+4 1.611850+3 2.970960+4570023546 1975 1.701190+3 2.593250+4 1.844550+3 2.114790+4 2.000000+3 1.724600+4570023546 1976 2.157980+3 1.401960+4 2.284600+3 1.200250+4 2.488600+3 9.507741+3570023546 1977 2.710810+3 7.531500+3 2.845900+3 6.525130+3 2.969610+3 5.755510+3570023546 1978 3.199190+3 4.620600+3 3.382940+3 3.918860+3 3.527650+3 3.463420+3570023546 1979 3.756410+3 2.877560+3 4.000000+3 2.390800+3 4.164520+3 2.104010+3570023546 1980 4.468870+3 1.682410+3 4.711640+3 1.422630+3 4.902340+3 1.254480+3570023546 1981 5.202950+3 1.038780+3 5.522000+3 8.601600+2 5.783900+3 7.357450+2570023546 1982 6.023230+3 6.417370+2 6.466130+3 5.051950+2 6.819550+3 4.222160+2570023546 1983 7.097241+3 3.690560+2 7.535110+3 3.015980+2 8.000000+3 2.464700+2570023546 1984 8.458970+3 2.024520+2 8.820401+3 1.746780+2 9.391701+3 1.399960+2570023546 1985 1.000000+4 1.122000+2 1.051990+4 9.314910+1 1.099690+4 7.915290+1570023546 1986 1.143200+4 6.864250+1 1.223530+4 5.349530+1 1.287460+4 4.437180+1570023546 1987 1.337590+4 3.856560+1 1.416470+4 3.124930+1 1.500000+4 2.532100+1570023546 1988 1.554920+4 2.207190+1 1.655920+4 1.735670+1 1.735950+4 1.449390+1570023546 1989 1.798500+4 1.266130+1 1.896570+4 1.033740+1 2.000000+4 8.440100+0570023546 1990 2.103980+4 6.912380+0 2.199390+4 5.804280+0 2.286410+4 4.981420+0570023546 1991 2.365370+4 4.357700+0 2.510180+4 3.448190+0 2.624580+4 2.892950+0570023546 1992 2.713780+4 2.536020+0 2.853300+4 2.081470+0 3.000000+4 1.708400+0570023546 1993 3.132820+4 1.433050+0 3.262680+4 1.215360+0 3.389300+4 1.041410+0570023546 1994 3.512470+4 9.010120-1 3.632000+4 7.866290-1 3.747760+4 6.926190-1570023546 1995 3.974840+4 5.455720-1 4.184790+4 4.427570-1 4.377570+4 3.688200-1570023546 1996 4.553520+4 3.143280-1 4.713280+4 2.732940-1 5.006450+4 2.139500-1570023546 1997 5.238240+4 1.780630-1 5.419100+4 1.551570-1 5.702160+4 1.262020-1570023546 1998 6.000000+4 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3.726600+5 8.434440-5570023546 2011 4.000000+5 6.575900-5 4.229490+5 5.455150-5 4.410200+5 4.741820-5570023546 2012 4.695850+5 3.842840-5 5.000000+5 3.114300-5 5.233180+5 2.695290-5570023546 2013 5.603490+5 2.170070-5 6.000000+5 1.747200-5 6.447420+5 1.412280-5570023546 2014 6.804750+5 1.203930-5 7.378210+5 9.476050-6 8.000000+5 7.458500-6570023546 2015 8.458970+5 6.410000-6 9.197270+5 5.107020-6 1.000000+6 4.068900-6570023546 2016 1.022000+6 3.865310-6 1.130270+6 3.153390-6 1.250000+6 2.572590-6570023546 2017 1.369310+6 2.197700-6 1.500000+6 1.877440-6 1.611850+6 1.657740-6570023546 2018 1.795470+6 1.375440-6 2.000000+6 1.141220-6 2.044000+6 1.100790-6570023546 2019 2.249780+6 9.473310-7 2.417610+6 8.464470-7 2.693110+6 7.149030-7570023546 2020 3.000000+6 6.038010-7 3.464100+6 4.907960-7 4.000000+6 3.989400-7570023546 2021 4.472140+6 3.428560-7 5.000000+6 2.946560-7 5.477230+6 2.616010-7570023546 2022 6.000000+6 2.322540-7 7.000000+6 1.910800-7 8.000000+6 1.620020-7570023546 2023 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4.574410+4-9.721920-1 4.739910+4-6.364480-1570027506 2844 4.838100+4-4.882800-1 5.023440+4-2.415600-1 5.120800+4-1.281050-1570027506 2845 5.218160+4-4.493690-2 5.268460+4-8.127760-3 5.327900+4 3.567220-2570027506 2846 5.501120+4 1.648080-1 5.548280+4 1.926600-1 5.675190+4 2.433140-1570027506 2847 5.954300+4 3.909000-1 6.076410+4 4.455750-1 6.167180+4 4.759900-1570027506 2848 6.200300+4 4.834220-1 6.290720+4 4.901140-1 6.648960+4 5.781760-1570027506 2849 6.720370+4 5.939280-1 6.823360+4 6.059100-1 6.873210+4 6.046140-1570027506 2850 7.441129+4 6.473690-1 7.686060+4 6.546200-1 8.511250+4 6.560210-1570027506 2851 9.144040+4 6.352140-1 9.837040+4 6.121270-1 1.065700+5 5.814370-1570027506 2852 1.141430+5 5.501460-1 1.244790+5 5.059050-1 1.340180+5 4.680260-1570027506 2853 1.455700+5 4.241360-1 1.576120+5 3.847180-1 1.712220+5 3.454990-1570027506 2854 1.842720+5 3.104380-1 1.959560+5 2.835090-1 2.103980+5 2.541210-1570027506 2855 2.258120+5 2.273310-1 2.397580+5 2.067850-1 2.648640+5 1.760210-1570027506 2856 2.856580+5 1.544780-1 3.024100+5 1.395960-1 3.275830+5 1.202090-1570027506 2857 3.542840+5 1.029760-1 3.841410+5 8.710740-2 4.249200+5 7.059270-2570027506 2858 4.451860+5 6.336230-2 4.846800+5 5.190250-2 5.178880+5 4.369840-2570027506 2859 5.654590+5 3.456690-2 6.164020+5 2.680140-2 6.860560+5 1.839520-2570027506 2860 7.378210+5 1.392480-2 7.879760+5 1.015410-2 8.625300+5 5.729070-3570027506 2861 8.944270+5 4.172690-3 9.197270+5 3.157270-3 9.734210+5 1.026650-3570027506 2862 9.808360+5 7.379830-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0570027506 2863 570027 0 2864 5700 0 0 2865 0 0 0 2866 5.800000+4 1.389160+2 -1 0 2 25800 1451 1 0.000000+0 0.000000+0 0 0 0 65800 1451 2 0.000000+0 0.000000+0 0 0 3 25800 1451 3 0.000000+0 0.000000+0 0 0 144 325800 1451 4 58-CE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5800 1451 6 ----JEF-2 MATERIAL 5800 REVISION 0 5800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5800 1451 8 ------ENDF-6 FORMAT 5800 1451 9 ******************************************************************5800 1451 10 * JEF-2 *5800 1451 11 * DATA TAKEN FROM EPDL *5800 1451 12 ******************************************************************5800 1451 13 =================================================================5800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5800 1451 15 ENDF/B-VI FORMAT 5800 1451 16 =================================================================5800 1451 17 CONTENTS 5800 1451 18 =================================================================5800 1451 19 MF/MT DESCRIPTION 5800 1451 20 =================================================================5800 1451 21 23/501 TOTAL CROSS SECTION 5800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 48 =================================================================5800 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 5800 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 5800 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5800 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 5800 1451 53 =================================================================5800 1451 54 WARNING 5800 1451 55 =================================================================5800 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5800 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5800 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5800 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5800 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5800 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5800 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5800 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5800 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5800 1451 65 =================================================================5800 1451 66 DEFINITION OF NEW TYPES OF DATA 5800 1451 67 =================================================================5800 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5800 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5800 1451 70 5800 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5800 1451 72 C2 FIELDS ARE, 5800 1451 73 5800 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5800 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5800 1451 76 5800 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5800 1451 78 5800 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5800 1451 80 5800 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5800 1451 82 T = THE THOMSON CROSS SECTION 5800 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 5800 1451 84 FF(M) = THE ATOMIC FORM FACTOR 5800 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5800 1451 86 F1(E) = THE REAL SCATTERING FACTOR 5800 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 5800 1451 88 5800 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 5800 1451 90 5800 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5800 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5800 1451 93 =================================================================5800 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5800 1451 95 =================================================================5800 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5800 1451 97 HERE - 10 EV TO 100 MEV 5800 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5800 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 5800 1451 100 HERE - PHOTON INTERACTION 5800 1451 101 - AVERAGE FLUORESCENCE YIELD 5800 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5800 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5800 1451 104 HERE - NO SECONDARY ENERGY DATA 5800 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5800 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 5800 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 5800 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 5800 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5800 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE5800 1451 111 (SINCE THEY CAN BE NEGATIVE). 5800 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5800 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 5800 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 5800 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 5800 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 5800 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5800 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE5800 1451 119 =================================================================5800 1451 120 REFERENCES 5800 1451 121 =================================================================5800 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5800 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5800 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5800 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5800 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5800 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5800 1451 128 5800 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5800 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5800 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5800 1451 132 OF THE DATA, ETC. 5800 1451 133 =================================================================5800 1451 134 HISTORY 5800 1451 135 =================================================================5800 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5800 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5800 1451 138 CROSS SECTIONS. 5800 1451 139 =================================================================5800 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5800 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5800 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5800 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5800 1451 144 *RECONSTRUCTED MT NUMBERS 5800 1451 145 516 =+(515,515)+(517,517) 5800 1451 146 522 =+(534,572) 5800 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5800 1451 148 1 451 180 15800 1451 149 23 501 570 15800 1451 150 23 502 144 15800 1451 151 23 504 30 15800 1451 152 23 515 30 15800 1451 153 23 516 58 15800 1451 154 23 517 41 15800 1451 155 23 522 390 25800 1451 156 23 534 35 25800 1451 157 23 535 41 25800 1451 158 23 536 47 25800 1451 159 23 537 48 25800 1451 160 23 538 47 25800 1451 161 23 539 51 25800 1451 162 23 540 53 25800 1451 163 23 541 63 25800 1451 164 23 542 65 25800 1451 165 23 543 52 25800 1451 166 23 544 55 25800 1451 167 23 545 56 25800 1451 168 23 546 70 25800 1451 169 23 547 74 25800 1451 170 23 548 87 25800 1451 171 23 549 86 25800 1451 172 23 550 58 25800 1451 173 23 551 66 25800 1451 174 23 552 68 25800 1451 175 23 559 62 25800 1451 176 27 502 52 15800 1451 177 27 504 45 15800 1451 178 27 505 120 15800 1451 179 27 506 120 15800 1451 180 5800 1 0 181 5800 0 0 182 5.800000+4 1.389160+2 0 0 0 0580023501 183 0.000000+0 0.000000+0 0 0 1 1701580023501 184 1701 2 0 0 0 0580023501 185 1.000000+1 3.043920+5 1.063690+1 3.356780+5 1.085020+1 3.467090+5580023501 186 1.106680+1 3.579110+5 1.154780+1 3.878800+5 1.166910+1 3.954380+5580023501 187 1.177270+1 4.021360+5 1.227630+1 4.346980+5 1.280140+1 4.686490+5580023501 188 1.288420+1 4.742870+5 1.321580+1 5.018260+5 1.340250+1 5.173310+5580023501 189 1.396230+1 5.638230+5 1.403180+1 5.697520+5 1.450780+1 6.103660+5580023501 190 1.499770+1 6.521660+5 1.500000+1 6.523620+5 1.544140+1 6.919330+5580023501 191 1.589580+1 7.326690+5 1.639140+1 7.780150+5 1.663380+1 8.001940+5580023501 192 1.688590+1 8.246510+5 1.690240+1 8.262510+5 1.731040+1 8.658330+5580023501 193 1.732050+1 8.668120+5 1.804840+1 9.417730+5 1.844550+1 9.826670+5580023501 194 1.862240+1 1.000680+6 1.887140+1 1.026030+6 1.906480+1 1.045720+6580023501 195 1.974830+1 1.115320+6 2.000000+1 1.140950+6 2.045630+1 1.186040+6580023501 196 2.085150+1 1.225100+6 2.094430+1 1.234270+6 2.115300+1 1.254900+6580023501 197 2.161330+1 1.300390+6 2.208370+1 1.346880+6 2.229100+1 1.367380+6580023501 198 2.260570+1 1.398490+6 2.283950+1 1.421600+6 2.292480+1 1.429440+6580023501 199 2.302140+1 1.438310+6 2.307270+1 1.443030+6 2.311930+1 1.447310+6580023501 200 2.314100+1 1.449310+6 2.316180+1 1.451220+6 2.318150+1 1.453030+6580023501 201 2.320050+1 1.454780+6 2.322440+1 1.456980+6 2.325420+1 1.459720+6580023501 202 2.326800+1 1.460990+6 2.329730+1 1.463690+6 2.332420+1 1.466170+6580023501 203 2.335630+1 1.469120+6 2.339750+1 1.472920+6 2.344260+1 1.477070+6580023501 204 2.349330+1 1.481740+6 2.355000+1 1.486960+6 2.359000+1 1.490610+6580023501 205 2.359000+1 1.544090+7 2.366290+1 1.530290+7 2.373930+1 1.515830+7580023501 206 2.384520+1 1.495770+7 2.394240+1 1.477370+7 2.407000+1 1.453210+7580023501 207 2.411530+1 1.444610+7 2.447730+1 1.375910+7 2.455790+1 1.363060+7580023501 208 2.533950+1 1.238530+7 2.543180+1 1.227010+7 2.546440+1 1.222940+7580023501 209 2.587170+1 1.172110+7 2.602300+1 1.153230+7 2.613500+1 1.139250+7580023501 210 2.624190+1 1.125910+7 2.635000+1 1.112420+7 2.635000+1 1.784580+7580023501 211 2.646710+1 1.761060+7 2.656860+1 1.740680+7 2.666380+1 1.721550+7580023501 212 2.679710+1 1.694780+7 2.688000+1 1.678130+7 2.703880+1 1.645950+7580023501 213 2.710620+1 1.634510+7 2.811580+1 1.463210+7 2.861880+1 1.387430+7580023501 214 3.000000+1 1.209870+7 3.007700+1 1.200850+7 3.021280+1 1.187010+7580023501 215 3.109840+1 1.096790+7 3.141360+1 1.064250+7 3.190750+1 1.018670+7580023501 216 3.197810+1 1.012150+7 3.263190+1 9.589010+6 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7.326160+4 6.170210+2 6.250530+4580023543 1917 7.000000+2 5.332830+4 7.652860+2 4.685250+4 8.748060+2 3.858300+4580023543 1918 1.000000+3 3.177300+4 1.106680+3 2.701570+4 1.194100+3 2.392130+4580023543 1919 1.338340+3 1.993140+4 1.500000+3 1.660700+4 1.611850+3 1.469160+4580023543 1920 1.795470+3 1.222470+4 2.000000+3 1.017200+4 2.328440+3 8.234960+3580023543 1921 2.710810+3 6.666780+3 3.000000+3 5.578800+3 3.223710+3 4.733870+3580023543 1922 3.402370+3 4.185270+3 3.689100+3 3.479230+3 4.000000+3 2.892300+3580023543 1923 4.255160+3 2.566820+3 4.741470+3 2.082860+3 5.142340+3 1.780780+3580023543 1924 5.465080+3 1.583330+3 5.987560+3 1.327440+3 6.560000+3 1.112900+3580023543 1925 7.289170+3 8.982580+2 7.888750+3 7.649090+2 8.370590+3 6.780580+2580023543 1926 9.149100+3 5.659150+2 1.000000+4 4.723200+2 1.106680+4 3.805840+2580023543 1927 1.194100+4 3.236760+2 1.264160+4 2.866530+2 1.377040+4 2.389050+2580023543 1928 1.500000+4 1.991100+2 1.611850+4 1.697720+2 1.701190+4 1.506410+2580023543 1929 1.844550+4 1.259110+2 2.000000+4 1.052400+2 2.213360+4 8.327160+1580023543 1930 2.388200+4 6.986090+1 2.528320+4 6.124020+1 2.754080+4 5.026210+1580023543 1931 3.000000+4 4.125200+1 3.197810+4 3.531150+1 3.381560+4 3.081980+1580023543 1932 3.550980+4 2.736080+1 3.868160+4 2.221520+1 4.124490+4 1.900170+1580023543 1933 4.541200+4 1.503160+1 5.000000+4 1.189100+1 5.302550+4 1.022950+1580023543 1934 5.582270+4 8.967330+0 6.107740+4 7.121570+0 6.534060+4 5.991160+0580023543 1935 6.873210+4 5.262740+0 7.415230+4 4.332750+0 8.000000+4 3.567100+0580023543 1936 8.653970+4 2.891700+0 9.269890+4 2.406510+0 9.844679+4 2.049240+0580023543 1937 1.037680+5 1.780410+0 1.086590+5 1.574290+0 1.177800+5 1.269310+0580023543 1938 1.251200+5 1.080020+0 1.309240+5 9.568210-1 1.401380+5 7.978610-1580023543 1939 1.500000+5 6.653100-1 1.635760+5 5.265620-1 1.764600+5 4.291130-1580023543 1940 1.885620+5 3.587600-1 1.998310+5 3.067300-1 2.102420+5 2.674330-1580023543 1941 2.297840+5 2.103870-1 2.456240+5 1.757400-1 2.582160+5 1.535530-1580023543 1942 2.783250+5 1.254130-1 3.000000+5 1.024300-1 3.223710+5 8.491940-2580023543 1943 3.402370+5 7.378060-2 3.689100+5 5.975090-2 4.000000+5 4.838900-2580023543 1944 4.229490+5 4.208060-2 4.598630+5 3.412600-2 5.000000+5 2.767500-2580023543 1945 5.477230+5 2.223730-2 6.000000+5 1.786800-2 6.447420+5 1.518710-2580023543 1946 6.804750+5 1.344390-2 7.378210+5 1.119690-2 8.000000+5 9.325500-3580023543 1947 8.458970+5 8.293830-3 9.197270+5 6.956320-3 1.000000+6 5.834500-3580023543 1948 1.022000+6 5.586380-3 1.130270+6 4.589820-3 1.250000+6 3.771040-3580023543 1949 1.369310+6 3.185920-3 1.500000+6 2.691580-3 1.611850+6 2.376450-3580023543 1950 1.795470+6 1.971570-3 2.000000+6 1.635670-3 2.044000+6 1.577600-3580023543 1951 2.249780+6 1.357430-3 2.417610+6 1.212720-3 2.693110+6 1.024050-3580023543 1952 3.000000+6 8.647340-4 3.464100+6 7.028540-4 4.000000+6 5.712790-4580023543 1953 4.472140+6 4.908460-4 5.000000+6 4.217370-4 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9.111770+4 5.000000+2 7.908329+4580023544 1969 6.000000+2 6.746870+4 6.928200+2 5.755450+4 8.000000+2 4.909720+4580023544 1970 8.944270+2 4.241540+4 1.000000+3 3.664300+4 1.089500+3 3.221360+4580023544 1971 1.238990+3 2.655300+4 1.409000+3 2.188700+4 1.537940+3 1.885010+4580023544 1972 1.753820+3 1.506630+4 2.000000+3 1.204200+4 2.213360+3 9.934800+3580023544 1973 2.388200+3 8.600121+3 2.676670+3 6.926640+3 3.000000+3 5.578800+3580023544 1974 3.223710+3 4.810040+3 3.590940+3 3.850890+3 4.000000+3 3.083000+3580023544 1975 4.426730+3 2.460370+3 4.776390+3 2.077410+3 5.056650+3 1.829840+3580023544 1976 5.508170+3 1.512680+3 6.000000+3 1.250500+3 6.447420+3 1.052820+3580023544 1977 6.804750+3 9.253470+2 7.378210+3 7.624870+2 8.000000+3 6.282900+2580023544 1978 8.458970+3 5.461350+2 9.197270+3 4.425980+2 1.000000+4 3.586900+2580023544 1979 1.051990+4 3.136370+2 1.149560+4 2.479800+2 1.228630+4 2.079260+2580023544 1980 1.291480+4 1.821910+2 1.391840+4 1.494360+2 1.500000+4 1.225700+2580023544 1981 1.611850+4 1.002920+2 1.701190+4 8.628350+1 1.844550+4 6.885260+1580023544 1982 2.000000+4 5.494300+1 2.103980+4 4.739220+1 2.199390+4 4.164150+1580023544 1983 2.376880+4 3.320560+1 2.519330+4 2.802040+1 2.631750+4 2.467020+1580023544 1984 2.809850+4 2.038070+1 3.000000+4 1.683700+1 3.197810+4 1.385320+1580023544 1985 3.381560+4 1.167940+1 3.550980+4 1.005920+1 3.706180+4 8.826910+0580023544 1986 3.994270+4 7.022480+0 4.224940+4 5.915650+0 4.406640+4 5.201590+0580023544 1987 4.693950+4 4.288810+0 5.000000+4 3.536200+0 5.221370+4 3.082990+0580023544 1988 5.437800+4 2.711010+0 5.868070+4 2.130240+0 6.272390+4 1.725090+0580023544 1989 6.648960+4 1.434330+0 6.996970+4 1.220410+0 7.316380+4 1.059580+0580023544 1990 7.607800+4 9.363300-1 8.146000+4 7.541340-1 8.574490+4 6.411550-1580023544 1991 9.259850+4 5.026150-1 1.000000+5 3.940100-1 1.044270+5 3.435360-1580023544 1992 1.087560+5 3.021050-1 1.173610+5 2.374130-1 1.254480+5 1.922800-1580023544 1993 1.329790+5 1.598860-1 1.399390+5 1.360510-1 1.463280+5 1.181290-1580023544 1994 1.521560+5 1.043950-1 1.629200+5 8.408990-2 1.714900+5 7.149780-2580023544 1995 1.851970+5 5.605520-2 2.000000+5 4.394800-2 2.103980+5 3.766210-2580023544 1996 2.199390+5 3.290410-2 2.376880+5 2.597790-2 2.519330+5 2.175810-2580023544 1997 2.631750+5 1.904940-2 2.809850+5 1.560540-2 3.000000+5 1.278400-2580023544 1998 3.223710+5 1.037570-2 3.402370+5 8.872150-3 3.689100+5 7.015320-3580023544 1999 4.000000+5 5.547100-3 4.229490+5 4.753990-3 4.598630+5 3.771780-3580023544 2000 5.000000+5 2.992500-3 5.477230+5 2.352640-3 6.000000+5 1.849600-3580023544 2001 6.447420+5 1.547690-3 6.804750+5 1.354060-3 7.378210+5 1.108080-3580023544 2002 8.000000+5 9.067800-4 8.458970+5 7.979290-4 9.197270+5 6.586550-4580023544 2003 1.000000+6 5.436900-4 1.022000+6 5.195290-4 1.130270+6 4.257620-4580023544 2004 1.250000+6 3.489180-4 1.369310+6 2.958270-4 1.500000+6 2.508150-4580023544 2005 1.611850+6 2.214500-4 1.795470+6 1.837220-4 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6.219690+3-1.818830+1580027506 2943 6.252770+3-1.722610+1 6.310730+3-1.583520+1 6.369900+3-1.511400+1580027506 2944 6.439610+3-1.485220+1 6.486491+3-1.484730+1 6.515170+3-1.461210+1580027506 2945 6.560000+3-1.382420+1 6.597510+3-1.294280+1 6.647160+3-1.188610+1580027506 2946 6.684971+3-1.124030+1 6.778640+3-1.008760+1 6.938550+3-8.600720+0580027506 2947 7.151741+3-7.071580+0 7.306530+3-6.171490+0 7.459971+3-5.472200+0580027506 2948 7.699241+3-4.539300+0 7.855630+3-3.991430+0 8.000000+3-3.566560+0580027506 2949 8.285651+3-2.818200+0 8.485560+3-2.375550+0 8.587140+3-2.211340+0580027506 2950 8.713040+3-2.033810+0 9.069270+3-1.456110+0 9.230010+3-1.234720+0580027506 2951 9.303430+3-1.162680+0 9.565090+3-9.551930-1 9.716941+3-8.314390-1580027506 2952 9.901140+3-6.751000-1 1.019180+4-4.964560-1 1.038040+4-3.922690-1580027506 2953 1.055630+4-3.137800-1 1.071860+4-2.345890-1 1.074450+4-2.227110-1580027506 2954 1.095620+4-1.585820-1 1.102930+4-1.425760-1 1.111350+4-1.259240-1580027506 2955 1.124280+4-9.765670-2 1.143200+4-5.335400-2 1.157500+4-1.911530-2580027506 2956 1.182690+4 3.382220-2 1.185320+4 3.961590-2 1.195930+4 5.528490-2580027506 2957 1.245720+4 1.040130-1 1.272400+4 1.164600-1 1.319100+4 1.399260-1580027506 2958 1.354060+4 1.602770-1 1.376470+4 1.702330-1 1.384100+4 1.709790-1580027506 2959 1.420220+4 1.683030-1 1.473400+4 1.691890-1 1.506090+4 1.607110-1580027506 2960 1.521790+4 1.527940-1 1.555480+4 1.286650-1 1.586940+4 1.128110-1580027506 2961 1.631960+4 8.146910-2 1.655920+4 6.197540-2 1.671620+4 4.753630-2580027506 2962 1.691260+4 2.540980-2 1.699710+4 1.612350-2 1.706880+4 7.308560-3580027506 2963 1.771420+4-5.966450-2 1.809040+4-9.692750-2 1.829340+4-1.188850-1580027506 2964 1.846890+4-1.416300-1 1.890550+4-1.885230-1 1.986380+4-2.852550-1580027506 2965 2.022610+4-3.269190-1 2.201440+4-5.083520-1 2.457260+4-8.012230-1580027506 2966 2.668810+4-1.050120+0 2.903370+4-1.351400+0 3.000000+4-1.483860+0580027506 2967 3.221420+4-1.824660+0 3.365490+4-2.085140+0 3.495060+4-2.374710+0580027506 2968 3.698700+4-3.022930+0 3.786600+4-3.433020+0 3.890750+4-4.203270+0580027506 2969 3.929270+4-4.666760+0 3.953680+4-5.087200+0 3.968300+4-5.423240+0580027506 2970 3.978530+4-5.707620+0 3.986530+4-5.957830+0 3.994270+4-6.219660+0580027506 2971 3.999830+4-6.414350+0 4.005370+4-6.609150+0 4.012450+4-6.847180+0580027506 2972 4.020220+4-7.081490+0 4.028950+4-7.287350+0 4.045170+4-7.420480+0580027506 2973 4.061400+4-7.219290+0 4.079620+4-6.688260+0 4.091290+4-6.228520+0580027506 2974 4.113740+4-5.448960+0 4.135150+4-4.825730+0 4.175280+4-4.052650+0580027506 2975 4.210390+4-3.590030+0 4.271840+4-2.987470+0 4.364020+4-2.346310+0580027506 2976 4.456200+4-1.901190+0 4.559700+4-1.520320+0 4.714950+4-1.054580+0580027506 2977 4.792580+4-8.712590-1 4.870200+4-7.312320-1 5.083160+4-4.004120-1580027506 2978 5.183000+4-2.672690-1 5.292160+4-1.627630-1 5.440610+4-3.616350-2580027506 2979 5.488270+4 4.820630-3 5.544670+4 5.392550-2 5.673380+4 1.540630-1580027506 2980 5.737730+4 1.947010-1 5.896950+4 2.586670-1 6.063890+4 3.361760-1580027506 2981 6.145970+4 3.667620-1 6.212060+4 3.790210-1 6.540430+4 4.842610-1580027506 2982 6.660700+4 5.090170-1 6.716570+4 5.137530-1 7.072330+4 5.842410-1580027506 2983 7.154890+4 5.922950-1 7.349100+4 6.072180-1 7.566590+4 6.303690-1580027506 2984 7.833940+4 6.349650-1 8.211410+4 6.585230-1 8.898070+4 6.422270-1580027506 2985 9.596510+4 6.286600-1 1.055240+5 5.959820-1 1.131280+5 5.616530-1580027506 2986 1.182690+5 5.410320-1 1.291590+5 4.987470-1 1.404860+5 4.564950-1580027506 2987 1.521560+5 4.159600-1 1.635760+5 3.809290-1 1.782120+5 3.395300-1580027506 2988 1.924560+5 3.052780-1 2.103980+5 2.682230-1 2.258120+5 2.397040-1580027506 2989 2.389420+5 2.186840-1 2.545160+5 1.961980-1 2.762910+5 1.705770-1580027506 2990 3.003500+5 1.477980-1 3.311840+5 1.239730-1 3.514050+5 1.104190-1580027506 2991 3.868210+5 9.003950-2 4.229490+5 7.418820-2 4.729840+5 5.816550-2580027506 2992 5.278580+5 4.409330-2 5.694870+5 3.562670-2 6.050580+5 2.984250-2580027506 2993 6.388780+5 2.529410-2 6.833710+5 1.999930-2 7.451780+5 1.404200-2580027506 2994 8.000000+5 9.961980-3 8.226280+5 8.375960-3 8.796130+5 5.118480-3580027506 2995 9.348820+5 2.675700-3 9.541860+5 1.831900-3 9.796530+5 7.392620-4580027506 2996 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0580027506 2997 580027 0 2998 5800 0 0 2999 0 0 0 3000 5.900000+4 1.396970+2 -1 0 2 25900 1451 1 0.000000+0 0.000000+0 0 0 0 65900 1451 2 0.000000+0 0.000000+0 0 0 3 25900 1451 3 0.000000+0 0.000000+0 0 0 144 325900 1451 4 59-PR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 5900 1451 6 ----JEF-2 MATERIAL 5900 REVISION 0 5900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5900 1451 8 ------ENDF-6 FORMAT 5900 1451 9 ******************************************************************5900 1451 10 * JEF-2 *5900 1451 11 * DATA TAKEN FROM EPDL *5900 1451 12 ******************************************************************5900 1451 13 =================================================================5900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5900 1451 15 ENDF/B-VI FORMAT 5900 1451 16 =================================================================5900 1451 17 CONTENTS 5900 1451 18 =================================================================5900 1451 19 MF/MT DESCRIPTION 5900 1451 20 =================================================================5900 1451 21 23/501 TOTAL CROSS SECTION 5900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 5900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 48 =================================================================5900 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 5900 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 5900 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5900 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 5900 1451 53 =================================================================5900 1451 54 WARNING 5900 1451 55 =================================================================5900 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5900 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5900 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5900 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5900 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5900 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5900 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5900 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5900 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5900 1451 65 =================================================================5900 1451 66 DEFINITION OF NEW TYPES OF DATA 5900 1451 67 =================================================================5900 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5900 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5900 1451 70 5900 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5900 1451 72 C2 FIELDS ARE, 5900 1451 73 5900 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5900 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5900 1451 76 5900 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5900 1451 78 5900 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5900 1451 80 5900 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5900 1451 82 T = THE THOMSON CROSS SECTION 5900 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 5900 1451 84 FF(M) = THE ATOMIC FORM FACTOR 5900 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5900 1451 86 F1(E) = THE REAL SCATTERING FACTOR 5900 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 5900 1451 88 5900 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 5900 1451 90 5900 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5900 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5900 1451 93 =================================================================5900 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5900 1451 95 =================================================================5900 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5900 1451 97 HERE - 10 EV TO 100 MEV 5900 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5900 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 5900 1451 100 HERE - PHOTON INTERACTION 5900 1451 101 - AVERAGE FLUORESCENCE YIELD 5900 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5900 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5900 1451 104 HERE - NO SECONDARY ENERGY DATA 5900 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5900 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 5900 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 5900 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 5900 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5900 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE5900 1451 111 (SINCE THEY CAN BE NEGATIVE). 5900 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5900 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 5900 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 5900 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 5900 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 5900 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5900 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE5900 1451 119 =================================================================5900 1451 120 REFERENCES 5900 1451 121 =================================================================5900 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5900 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5900 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5900 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5900 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5900 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5900 1451 128 5900 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5900 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5900 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5900 1451 132 OF THE DATA, ETC. 5900 1451 133 =================================================================5900 1451 134 HISTORY 5900 1451 135 =================================================================5900 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 5900 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 5900 1451 138 CROSS SECTIONS. 5900 1451 139 =================================================================5900 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5900 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 5900 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5900 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5900 1451 144 *RECONSTRUCTED MT NUMBERS 5900 1451 145 516 =+(515,515)+(517,517) 5900 1451 146 522 =+(534,572) 5900 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5900 1451 148 1 451 180 15900 1451 149 23 501 578 15900 1451 150 23 502 141 15900 1451 151 23 504 30 15900 1451 152 23 515 30 15900 1451 153 23 516 58 15900 1451 154 23 517 41 15900 1451 155 23 522 406 25900 1451 156 23 534 35 25900 1451 157 23 535 41 25900 1451 158 23 536 47 25900 1451 159 23 537 48 25900 1451 160 23 538 47 25900 1451 161 23 539 51 25900 1451 162 23 540 53 25900 1451 163 23 541 63 25900 1451 164 23 542 65 25900 1451 165 23 543 52 25900 1451 166 23 544 54 25900 1451 167 23 545 56 25900 1451 168 23 546 70 25900 1451 169 23 547 74 25900 1451 170 23 548 87 25900 1451 171 23 549 86 25900 1451 172 23 550 57 25900 1451 173 23 551 65 25900 1451 174 23 552 67 25900 1451 175 23 559 61 25900 1451 176 27 502 50 15900 1451 177 27 504 44 15900 1451 178 27 505 117 15900 1451 179 27 506 117 15900 1451 180 5900 1 0 181 5900 0 0 182 5.900000+4 1.396970+2 0 0 0 0590023501 183 0.000000+0 0.000000+0 0 0 1 1724590023501 184 1724 2 0 0 0 0590023501 185 1.000000+1 3.471030+5 1.075720+1 3.844530+5 1.077400+1 3.853240+5590023501 186 1.123540+1 4.092410+5 1.154780+1 4.263070+5 1.160800+1 4.295960+5590023501 187 1.189210+1 4.451170+5 1.199290+1 4.518330+5 1.241490+1 4.810630+5590023501 188 1.280140+1 5.078340+5 1.293560+1 5.176030+5 1.321580+1 5.380010+5590023501 189 1.342970+1 5.535720+5 1.354260+1 5.617900+5 1.385160+1 5.875120+5590023501 190 1.394260+1 5.953900+5 1.431840+1 6.279200+5 1.470430+1 6.613240+5590023501 191 1.492910+1 6.812160+5 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1.043320+4 2.388200+3 9.045100+3590023544 1994 2.676670+3 7.301370+3 3.000000+3 5.893800+3 3.223710+3 5.088340+3590023544 1995 3.590940+3 4.081760+3 4.000000+3 3.274300+3 4.426730+3 2.618290+3590023544 1996 4.776390+3 2.214070+3 5.056650+3 1.952420+3 5.508170+3 1.616760+3590023544 1997 6.000000+3 1.338800+3 6.447420+3 1.128840+3 6.804750+3 9.932830+2590023544 1998 7.378210+3 8.198440+2 8.000000+3 6.766900+2 8.458970+3 5.888780+2590023544 1999 9.197270+3 4.780560+2 1.000000+4 3.880900+2 1.051990+4 3.396800+2590023544 2000 1.149560+4 2.690360+2 1.228630+4 2.258740+2 1.291480+4 1.981110+2590023544 2001 1.391840+4 1.627310+2 1.500000+4 1.336700+2 1.611850+4 1.095290+2590023544 2002 1.701190+4 9.433080+1 1.844550+4 7.539420+1 2.000000+4 6.025900+1590023544 2003 2.103980+4 5.202730+1 2.199390+4 4.575250+1 2.376880+4 3.653730+1590023544 2004 2.519330+4 3.086580+1 2.631750+4 2.719770+1 2.809850+4 2.249660+1590023544 2005 3.000000+4 1.860800+1 3.197810+4 1.532740+1 3.381560+4 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1.340790-1 1.655920+4 1.012540-1590027506 2969 1.702510+4 7.867500-2 1.711100+4 7.298970-2 1.760470+4 3.619880-2590027506 2970 1.764980+4 3.236910-2 1.777970+4 1.985410-2 1.798500+4-3.873230-3590027506 2971 1.807250+4-1.384350-2 1.851430+4-5.733000-2 1.933480+4-1.337010-1590027506 2972 1.956000+4-1.559230-1 2.000000+4-2.072230-1 2.051330+4-2.626130-1590027506 2973 2.168830+4-3.820990-1 2.250130+4-4.703150-1 2.331980+4-5.522560-1590027506 2974 2.510190+4-7.538600-1 2.668810+4-9.298680-1 2.784730+4-1.054390+0590027506 2975 3.000000+4-1.326060+0 3.097330+4-1.446610+0 3.329660+4-1.787740+0590027506 2976 3.501640+4-2.093560+0 3.635100+4-2.389550+0 3.831130+4-2.975720+0590027506 2977 3.932050+4-3.428180+0 4.040200+4-4.195320+0 4.080200+4-4.657330+0590027506 2978 4.108510+4-5.136170+0 4.120730+4-5.412000+0 4.131360+4-5.695640+0590027506 2979 4.139660+4-5.945230+0 4.143440+4-6.066430+0 4.148670+4-6.238180+0590027506 2980 4.153470+4-6.400710+0 4.159230+4-6.595090+0 4.166580+4-6.832640+0590027506 2981 4.174650+4-7.066450+0 4.184790+4-7.280390+0 4.200500+4-7.404520+0590027506 2982 4.218590+4-7.169730+0 4.236150+4-6.679740+0 4.248240+4-6.223000+0590027506 2983 4.271470+4-5.446680+0 4.293630+4-4.824540+0 4.335170+4-4.052760+0590027506 2984 4.371510+4-3.591390+0 4.435120+4-2.990670+0 4.530520+4-2.350680+0590027506 2985 4.626120+4-1.905940+0 4.732990+4-1.526690+0 4.893570+4-1.060310+0590027506 2986 4.973870+4-8.762620-1 5.071040+4-7.107020-1 5.269900+4-4.125560-1590027506 2987 5.377770+4-2.732320-1 5.485630+4-1.726260-1 5.723910+4 2.400600-2590027506 2988 5.751800+4 4.719570-2 5.888940+4 1.486780-1 5.951420+4 1.866930-1590027506 2989 6.116030+4 2.517830-1 6.272390+4 3.227630-1 6.382870+4 3.622380-1590027506 2990 6.441770+4 3.727920-1 6.802600+4 4.850070-1 6.907950+4 5.044640-1590027506 2991 6.979020+4 5.111050-1 7.384900+4 5.910080-1 7.460660+4 5.994580-1590027506 2992 7.607800+4 6.025860-1 8.112350+4 6.498240-1 8.902770+4 6.511180-1590027506 2993 9.596510+4 6.346910-1 1.044270+5 6.095150-1 1.108460+5 5.827270-1590027506 2994 1.221810+5 5.423080-1 1.300020+5 5.067780-1 1.396700+5 4.716460-1590027506 2995 1.521560+5 4.286140-1 1.642750+5 3.920430-1 1.794520+5 3.482860-1590027506 2996 1.916550+5 3.178690-1 2.077490+5 2.837800-1 2.242480+5 2.527850-1590027506 2997 2.406380+5 2.266980-1 2.584380+5 2.017710-1 2.810530+5 1.751020-1590027506 2998 3.076490+5 1.486120-1 3.471900+5 1.182340-1 3.765660+5 1.011740-1590027506 2999 4.073090+5 8.574040-2 4.374870+5 7.315880-2 4.639490+5 6.342910-2590027506 3000 5.125870+5 4.992680-2 5.527710+5 4.091580-2 6.155920+5 2.939850-2590027506 3001 6.804750+5 2.104080-2 7.682820+5 1.285630-2 8.238340+5 8.564510-3590027506 3002 8.820400+5 5.323530-3 9.197270+5 3.306880-3 9.734210+5 1.078310-3590027506 3003 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0590027506 3004 590027 0 3005 5900 0 0 3006 0 0 0 3007 6.000000+4 1.430010+2 -1 0 2 26000 1451 1 0.000000+0 0.000000+0 0 0 0 66000 1451 2 0.000000+0 0.000000+0 0 0 3 26000 1451 3 0.000000+0 0.000000+0 0 0 144 326000 1451 4 60-ND LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6000 1451 6 ----JEF-2 MATERIAL 6000 REVISION 0 6000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6000 1451 8 ------ENDF-6 FORMAT 6000 1451 9 ******************************************************************6000 1451 10 * JEF-2 *6000 1451 11 * DATA TAKEN FROM EPDL *6000 1451 12 ******************************************************************6000 1451 13 =================================================================6000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6000 1451 15 ENDF/B-VI FORMAT 6000 1451 16 =================================================================6000 1451 17 CONTENTS 6000 1451 18 =================================================================6000 1451 19 MF/MT DESCRIPTION 6000 1451 20 =================================================================6000 1451 21 23/501 TOTAL CROSS SECTION 6000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 48 =================================================================6000 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6000 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6000 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6000 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6000 1451 53 =================================================================6000 1451 54 WARNING 6000 1451 55 =================================================================6000 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6000 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6000 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6000 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6000 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6000 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6000 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6000 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6000 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6000 1451 65 =================================================================6000 1451 66 DEFINITION OF NEW TYPES OF DATA 6000 1451 67 =================================================================6000 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6000 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6000 1451 70 6000 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6000 1451 72 C2 FIELDS ARE, 6000 1451 73 6000 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6000 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6000 1451 76 6000 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6000 1451 78 6000 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6000 1451 80 6000 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6000 1451 82 T = THE THOMSON CROSS SECTION 6000 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6000 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6000 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6000 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6000 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6000 1451 88 6000 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6000 1451 90 6000 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6000 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6000 1451 93 =================================================================6000 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6000 1451 95 =================================================================6000 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6000 1451 97 HERE - 10 EV TO 100 MEV 6000 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6000 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6000 1451 100 HERE - PHOTON INTERACTION 6000 1451 101 - AVERAGE FLUORESCENCE YIELD 6000 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6000 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6000 1451 104 HERE - NO SECONDARY ENERGY DATA 6000 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6000 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6000 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6000 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6000 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6000 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6000 1451 111 (SINCE THEY CAN BE NEGATIVE). 6000 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6000 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6000 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6000 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6000 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6000 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6000 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6000 1451 119 =================================================================6000 1451 120 REFERENCES 6000 1451 121 =================================================================6000 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6000 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6000 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6000 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6000 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6000 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6000 1451 128 6000 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6000 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6000 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6000 1451 132 OF THE DATA, ETC. 6000 1451 133 =================================================================6000 1451 134 HISTORY 6000 1451 135 =================================================================6000 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6000 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6000 1451 138 CROSS SECTIONS. 6000 1451 139 =================================================================6000 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6000 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6000 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6000 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6000 1451 144 *RECONSTRUCTED MT NUMBERS 6000 1451 145 516 =+(515,515)+(517,517) 6000 1451 146 522 =+(534,572) 6000 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6000 1451 148 1 451 180 16000 1451 149 23 501 554 16000 1451 150 23 502 137 16000 1451 151 23 504 30 16000 1451 152 23 515 30 16000 1451 153 23 516 58 16000 1451 154 23 517 41 16000 1451 155 23 522 386 26000 1451 156 23 534 35 26000 1451 157 23 535 41 26000 1451 158 23 536 46 26000 1451 159 23 537 48 26000 1451 160 23 538 46 26000 1451 161 23 539 50 26000 1451 162 23 540 52 26000 1451 163 23 541 64 26000 1451 164 23 542 65 26000 1451 165 23 543 50 26000 1451 166 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2.956750+3600023543 1892 4.550120+3 2.480400+3 5.000000+3 2.080800+3 5.302550+3 1.854320+3600023543 1893 5.876741+3 1.515660+3 6.347820+3 1.302910+3 7.126190+3 1.038450+3600023543 1894 8.000000+3 8.276700+2 8.944270+3 6.591990+2 1.000000+4 5.250200+2600023543 1895 1.106680+4 4.237460+2 1.194100+4 3.608310+2 1.264160+4 3.198540+2600023543 1896 1.377040+4 2.669460+2 1.500000+4 2.227900+2 1.611850+4 1.902050+2600023543 1897 1.701190+4 1.689350+2 1.844550+4 1.414040+2 2.000000+4 1.183600+2600023543 1898 2.213360+4 9.384060+1 2.388200+4 7.884610+1 2.528320+4 6.919460+1600023543 1899 2.754080+4 5.688670+1 3.000000+4 4.676800+1 3.197810+4 4.008610+1600023543 1900 3.381560+4 3.502730+1 3.728900+4 2.766190+1 4.012620+4 2.317330+1600023543 1901 4.239490+4 2.029160+1 4.604070+4 1.662690+1 5.000000+4 1.362400+1600023543 1902 5.302550+4 1.173470+1 5.582270+4 1.029770+1 6.107740+4 8.193410+0600023543 1903 6.534060+4 6.902510+0 6.873210+4 6.069650+0 7.415230+4 5.004940+0600023543 1904 8.000000+4 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1.250000+6 4.516650-3600023543 1917 1.369310+6 3.814930-3 1.500000+6 3.222230-3 1.611850+6 2.844470-3600023543 1918 1.795470+6 2.359220-3 2.000000+6 1.956750-3 2.044000+6 1.887440-3600023543 1919 2.249780+6 1.623680-3 2.417610+6 1.450350-3 2.693110+6 1.224420-3600023543 1920 3.000000+6 1.033680-3 3.464100+6 8.396770-4 4.000000+6 6.820850-4600023543 1921 4.472140+6 5.857800-4 5.000000+6 5.030720-4 5.477230+6 4.465360-4600023543 1922 6.000000+6 3.963530-4 7.000000+6 3.258950-4 8.000000+6 2.761850-4600023543 1923 9.000000+6 2.393260-4 1.000000+7 2.110060-4 1.100000+7 1.885600-4600023543 1924 1.200000+7 1.703830-4 1.300000+7 1.553280-4 1.400000+7 1.427050-4600023543 1925 1.500000+7 1.319650-4 1.600000+7 1.226930-4 1.800000+7 1.075910-4600023543 1926 2.000000+7 9.574890-5 2.200000+7 8.624750-5 2.400000+7 7.844430-5600023543 1927 2.600000+7 7.192640-5 2.800000+7 6.641840-5 3.000000+7 6.169060-5600023543 1928 3.464100+7 5.295980-5 4.000000+7 4.546470-5 4.472140+7 4.045130-5600023543 1929 5.000000+7 3.599080-5 6.000000+7 2.977580-5 6.928200+7 2.567170-5600023543 1930 8.000000+7 2.213330-5 8.944271+7 1.974370-5 1.000000+8 1.761210-5600023543 1931 600023 0 1932 6.000000+4 1.430010+2 0 0 0 0600023544 1933 2.527600+2 0.000000+0 0 0 1 152600023544 1934 152 2 0 0 0 0600023544 1935 2.527600+2 0.000000+0 2.527600+2 9.855870+4 4.000000+2 8.823210+4600023544 1936 5.000000+2 7.875729+4 6.000000+2 6.850280+4 6.928200+2 5.916050+4600023544 1937 8.000000+2 5.109230+4 9.006660+2 4.405730+4 1.014000+3 3.799100+4600023544 1938 1.099750+3 3.377670+4 1.242150+3 2.831530+4 1.403000+3 2.373700+4600023544 1939 1.533030+3 2.049380+4 1.751020+3 1.644060+4 2.000000+3 1.318900+4600023544 1940 2.213360+3 1.092500+4 2.388200+3 9.485831+3 2.676670+3 7.674661+3600023544 1941 3.000000+3 6.209300+3 3.223710+3 5.367980+3 3.590940+3 4.314830+3600023544 1942 4.000000+3 3.468300+3 4.426730+3 2.778870+3 4.776390+3 2.353330+3600023544 1943 5.056650+3 2.077510+3 5.508170+3 1.723190+3 6.000000+3 1.429300+3600023544 1944 6.447420+3 1.206920+3 6.804750+3 1.063150+3 7.378210+3 8.789600+2600023544 1945 8.000000+3 7.266800+2 8.458970+3 6.330970+2 9.197270+3 5.148260+2600023544 1946 1.000000+4 4.186500+2 1.051990+4 3.667930+2 1.149560+4 2.910180+2600023544 1947 1.228630+4 2.446490+2 1.291480+4 2.147890+2 1.391840+4 1.766910+2600023544 1948 1.500000+4 1.453500+2 1.611850+4 1.192630+2 1.701190+4 1.028190+2600023544 1949 1.844550+4 8.230520+1 2.000000+4 6.588400+1 2.103980+4 5.693830+1600023544 1950 2.199390+4 5.011300+1 2.376880+4 4.007810+1 2.519330+4 3.389410+1600023544 1951 2.631750+4 2.989070+1 2.809850+4 2.475460+1 3.000000+4 2.050100+1600023544 1952 3.197810+4 1.690550+1 3.381560+4 1.428060+1 3.550980+4 1.232050+1600023544 1953 3.706180+4 1.082740+1 3.994270+4 8.636550+0 4.224940+4 7.289590+0600023544 1954 4.406640+4 6.419120+0 4.693950+4 5.304360+0 5.000000+4 4.383200+0600023544 1955 5.221370+4 3.826530+0 5.437800+4 3.369030+0 5.868070+4 2.653490+0600023544 1956 6.272390+4 2.153230+0 6.648960+4 1.793510+0 6.996970+4 1.528420+0600023544 1957 7.316380+4 1.328810+0 7.910829+4 1.040160+0 8.388160+4 8.656150-1600023544 1958 8.764960+4 7.542140-1 9.362140+4 6.134090-1 1.000000+5 4.988900-1600023544 1959 1.044270+5 4.354450-1 1.087560+5 3.833130-1 1.173610+5 3.017990-1600023544 1960 1.254480+5 2.448280-1 1.329790+5 2.038740-1 1.399390+5 1.737000-1600023544 1961 1.463280+5 1.509840-1 1.582170+5 1.181450-1 1.677630+5 9.829380-2600023544 1962 1.752990+5 8.562690-2 1.872430+5 6.962040-2 2.000000+5 5.660600-2600023544 1963 2.103980+5 4.855810-2 2.199390+5 4.246060-2 2.376880+5 3.357400-2600023544 1964 2.519330+5 2.815250-2 2.631750+5 2.466900-2 2.809850+5 2.023500-2600023544 1965 3.000000+5 1.659800-2 3.223710+5 1.348770-2 3.402370+5 1.154380-2600023544 1966 3.689100+5 9.140410-3 4.000000+5 7.237400-3 4.229490+5 6.207700-3600023544 1967 4.598630+5 4.931210-3 5.000000+5 3.917200-3 5.477230+5 3.082590-3600023544 1968 6.000000+5 2.425800-3 6.447420+5 2.031390-3 6.804750+5 1.778260-3600023544 1969 7.378210+5 1.456460-3 8.000000+5 1.192900-3 8.458970+5 1.050120-3600023544 1970 9.197270+5 8.673360-4 1.000000+6 7.163700-4 1.022000+6 6.845780-4600023544 1971 1.130270+6 5.610490-4 1.250000+6 4.598110-4 1.369310+6 3.897240-4600023544 1972 1.500000+6 3.303200-4 1.611850+6 2.915950-4 1.795470+6 2.418500-4600023544 1973 2.000000+6 2.005920-4 2.044000+6 1.934870-4 2.249780+6 1.664490-4600023544 1974 2.417610+6 1.486800-4 2.693110+6 1.255190-4 3.000000+6 1.059660-4600023544 1975 3.464100+6 8.607790-5 4.000000+6 6.992250-5 4.472140+6 6.004990-5600023544 1976 5.000000+6 5.157130-5 5.477230+6 4.577560-5 6.000000+6 4.063120-5600023544 1977 7.000000+6 3.340840-5 8.000000+6 2.831250-5 9.000000+6 2.453400-5600023544 1978 1.000000+7 2.163080-5 1.100000+7 1.932980-5 1.200000+7 1.746650-5600023544 1979 1.300000+7 1.592310-5 1.400000+7 1.462910-5 1.500000+7 1.352810-5600023544 1980 1.600000+7 1.257760-5 1.800000+7 1.102950-5 2.000000+7 9.815490-6600023544 1981 2.200000+7 8.841470-6 2.400000+7 8.041550-6 2.600000+7 7.373380-6600023544 1982 2.800000+7 6.808730-6 3.000000+7 6.324080-6 3.464100+7 5.429060-6600023544 1983 4.000000+7 4.660710-6 4.472140+7 4.146780-6 5.000000+7 3.689520-6600023544 1984 6.000000+7 3.052400-6 6.928200+7 2.631680-6 8.000000+7 2.268950-6600023544 1985 8.944271+7 2.023990-6 1.000000+8 1.805470-6 0.000000+0 0.000000+0600023544 1986 600023 0 1987 6.000000+4 1.430010+2 0 0 0 0600023545 1988 2.297200+2 0.000000+0 0 0 1 158600023545 1989 158 2 0 0 0 0600023545 1990 2.297200+2 0.000000+0 2.297200+2 3.292070+5 3.198500+2 2.869530+5600023545 1991 4.000000+2 2.499900+5 4.472140+2 2.269500+5 5.000000+2 2.060340+5600023545 1992 6.000000+2 1.698300+5 6.928200+2 1.417320+5 8.000000+2 1.182820+5600023545 1993 9.006660+2 9.970640+4 1.014000+3 8.404800+4 1.099750+3 7.377030+4600023545 1994 1.242150+3 6.066140+4 1.403000+3 4.988200+4 1.533030+3 4.255410+4600023545 1995 1.638400+3 3.777370+4 1.810190+3 3.159080+4 2.000000+3 2.642000+4600023545 1996 2.213360+3 2.162120+4 2.388200+3 1.860330+4 2.676670+3 1.484750+4600023545 1997 3.000000+3 1.185000+4 3.223710+3 1.016210+4 3.590940+3 8.070201+3600023545 1998 4.000000+3 6.408900+3 4.426730+3 5.078540+3 4.776390+3 4.265360+3600023545 1999 5.056650+3 3.742120+3 5.508170+3 3.075120+3 6.000000+3 2.527000+3600023545 2000 6.447420+3 2.117290+3 6.804750+3 1.854230+3 7.378210+3 1.519620+3600023545 2001 8.000000+3 1.245400+3 8.458970+3 1.078400+3 9.197270+3 8.689230+2600023545 2002 1.000000+4 7.001400+2 1.051990+4 6.099050+2 1.149560+4 4.790690+2600023545 2003 1.228630+4 3.997150+2 1.291480+4 3.489510+2 1.391840+4 2.846330+2600023545 2004 1.500000+4 2.321700+2 1.611850+4 1.888790+2 1.701190+4 1.617960+2600023545 2005 1.844550+4 1.282760+2 2.000000+4 1.017000+2 2.103980+4 8.732600+1600023545 2006 2.199390+4 7.642550+1 2.376880+4 6.052080+1 2.519330+4 5.080470+1600023545 2007 2.631750+4 4.455570+1 2.809850+4 3.659340+1 3.000000+4 3.005400+1600023545 2008 3.197810+4 2.456060+1 3.381560+4 2.058420+1 3.550980+4 1.763670+1600023545 2009 3.706180+4 1.540600+1 3.994270+4 1.215960+1 4.224940+4 1.018210+1600023545 2010 4.406640+4 8.913090+0 4.693950+4 7.299850+0 5.000000+4 5.978600+0600023545 2011 5.221370+4 5.182770+0 5.437800+4 4.533160+0 5.648840+4 3.998310+0600023545 2012 6.066860+4 3.159670+0 6.457930+4 2.571490+0 6.820750+4 2.147400+0600023545 2013 7.154890+4 1.834100+0 7.460660+4 1.597700+0 8.027550+4 1.254930+0600023545 2014 8.480810+4 1.047040+0 8.837470+4 9.140540-1 9.400779+4 7.455630-1600023545 2015 1.000000+5 6.081300-1 1.044270+5 5.266780-1 1.087560+5 4.602530-1600023545 2016 1.129770+5 4.056090-1 1.213370+5 3.200300-1 1.291590+5 2.600990-1600023545 2017 1.364150+5 2.169420-1 1.430980+5 1.850960-1 1.492130+5 1.610900-1600023545 2018 1.605510+5 1.263270-1 1.696160+5 1.052730-1 1.767490+5 9.181850-2600023545 2019 1.880160+5 7.479150-2 2.000000+5 6.092200-2 2.103980+5 5.185210-2600023545 2020 2.199390+5 4.503080-2 2.286410+5 3.980250-2 2.447070+5 3.207090-2600023545 2021 2.574930+5 2.727480-2 2.779350+5 2.139140-2 3.000000+5 1.677700-2600023545 2022 3.223710+5 1.352070-2 3.402370+5 1.150030-2 3.689100+5 9.021530-3600023545 2023 4.000000+5 7.077000-3 4.229490+5 6.044250-3 4.598630+5 4.770710-3600023545 2024 5.000000+5 3.765500-3 5.233180+5 3.333870-3 5.603490+5 2.777390-3600023545 2025 6.000000+5 2.313800-3 6.447420+5 1.936900-3 6.804750+5 1.695100-3600023545 2026 7.378210+5 1.387790-3 8.000000+5 1.136200-3 8.458970+5 1.001260-3600023545 2027 9.197270+5 8.282880-4 1.000000+6 6.852000-4 1.022000+6 6.549320-4600023545 2028 1.130270+6 5.369040-4 1.250000+6 4.401470-4 1.369310+6 3.729120-4600023545 2029 1.500000+6 3.159470-4 1.611850+6 2.789070-4 1.795470+6 2.313270-4600023545 2030 2.000000+6 1.918640-4 2.044000+6 1.850680-4 2.249780+6 1.592060-4600023545 2031 2.417610+6 1.422100-4 2.693110+6 1.200570-4 3.000000+6 1.013550-4600023545 2032 3.464100+6 8.233250-5 4.000000+6 6.688010-5 4.472140+6 5.743710-5600023545 2033 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9.395010+3-2.074770+0 9.538071+3-1.874030+0 9.659310+3-1.747730+0600027506 2907 9.818460+3-1.534390+0 1.011740+4-1.170490+0 1.033300+4-9.528470-1600027506 2908 1.051990+4-8.307580-1 1.090300+4-6.179070-1 1.106680+4-5.307970-1600027506 2909 1.122120+4-4.566060-1 1.162960+4-2.761240-1 1.168730+4-2.545370-1600027506 2910 1.183340+4-2.108030-1 1.202430+4-1.655230-1 1.241390+4-5.951960-2600027506 2911 1.258470+4-1.382030-2 1.260010+4-9.856300-3 1.264160+4-2.179160-3600027506 2912 1.276090+4 2.140480-2 1.303700+4 6.273050-2 1.318470+4 7.802690-2600027506 2913 1.357260+4 1.215450-1 1.395170+4 1.619740-1 1.444910+4 1.762010-1600027506 2914 1.521800+4 1.786050-1 1.582910+4 1.910040-1 1.589790+4 1.896100-1600027506 2915 1.626870+4 1.736670-1 1.667190+4 1.423340-1 1.710390+4 1.232430-1600027506 2916 1.762390+4 9.277840-2 1.795870+4 7.277500-2 1.828350+4 4.818750-2600027506 2917 1.832980+4 4.306180-2 1.839180+4 3.486040-2 1.846890+4 2.645050-2600027506 2918 1.920700+4-4.972850-2 1.951090+4-8.079710-2 2.000000+4-1.270970-1600027506 2919 2.007370+4-1.358590-1 2.051090+4-1.786840-1 2.184060+4-3.005460-1600027506 2920 2.236290+4-3.555190-1 2.286410+4-4.084190-1 2.420060+4-5.305050-1600027506 2921 2.638790+4-7.777790-1 2.874410+4-1.028700+0 3.197810+4-1.413110+0600027506 2922 3.465240+4-1.796400+0 3.632000+4-2.081040+0 3.776190+4-2.389340+0600027506 2923 3.977770+4-2.973100+0 4.085460+4-3.449240+0 4.192820+4-4.182610+0600027506 2924 4.234340+4-4.643210+0 4.263720+4-5.120540+0 4.276400+4-5.395470+0600027506 2925 4.287430+4-5.678310+0 4.296050+4-5.927180+0 4.299960+4-6.048030+0600027506 2926 4.305390+4-6.219320+0 4.310380+4-6.381410+0 4.316350+4-6.575300+0600027506 2927 4.323980+4-6.812270+0 4.332350+4-7.045710+0 4.341750+4-7.251720+0600027506 2928 4.357970+4-7.385340+0 4.374190+4-7.229670+0 4.392400+4-6.777750+0600027506 2929 4.404070+4-6.364730+0 4.426510+4-5.629630+0 4.437210+4-5.280200+0600027506 2930 4.478660+4-4.373460+0 4.517960+4-3.798910+0 4.581660+4-3.148260+0600027506 2931 4.673600+4-2.491630+0 4.768800+4-2.025660+0 4.962080+4-1.359700+0600027506 2932 5.047630+4-1.129330+0 5.140570+4-9.378610-1 5.370270+4-5.502560-1600027506 2933 5.476740+4-3.991640-1 5.588790+4-2.841060-1 5.896630+4-6.359490-3600027506 2934 5.922310+4 1.375350-2 6.050540+4 1.159010-1 6.165980+4 1.844620-1600027506 2935 6.260900+4 2.131490-1 6.458450+4 3.059300-1 6.576800+4 3.563340-1600027506 2936 6.648960+4 3.792680-1 6.898380+4 4.492830-1 6.986900+4 4.620200-1600027506 2937 7.322460+4 5.425530-1 7.460660+4 5.658140-1 7.593050+4 5.730500-1600027506 2938 8.066000+4 6.306960-1 8.182210+4 6.328280-1 8.320560+4 6.325260-1600027506 2939 8.700479+4 6.512260-1 9.556240+4 6.384390-1 1.026370+5 6.250810-1600027506 2940 1.108460+5 5.927790-1 1.218350+5 5.572960-1 1.291590+5 5.236010-1600027506 2941 1.391330+5 4.881610-1 1.500000+5 4.500350-1 1.642750+5 4.063220-1600027506 2942 1.795470+5 3.618670-1 1.924560+5 3.290110-1 2.077490+5 2.960090-1600027506 2943 2.220390+5 2.678790-1 2.378050+5 2.411040-1 2.574930+5 2.123420-1600027506 2944 2.810530+5 1.834800-1 3.057050+5 1.575300-1 3.441320+5 1.259570-1600027506 2945 3.841410+5 1.020960-1 4.073070+5 9.021570-2 4.374860+5 7.702200-2600027506 2946 4.639490+5 6.683250-2 5.125870+5 5.260650-2 5.524000+5 4.319040-2600027506 2947 6.155920+5 3.098110-2 6.804750+5 2.218220-2 7.527110+5 1.505540-2600027506 2948 7.787120+5 1.267260-2 8.238340+5 9.026020-3 8.820400+5 5.610350-3600027506 2949 9.197270+5 3.476340-3 9.541860+5 1.964630-3 9.808160+5 8.211270-4600027506 2950 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0600027506 2951 600027 0 2952 6000 0 0 2953 0 0 0 2954 6.100000+4 1.436680+2 -1 0 2 26100 1451 1 0.000000+0 0.000000+0 0 0 0 66100 1451 2 0.000000+0 0.000000+0 0 0 3 26100 1451 3 0.000000+0 0.000000+0 0 0 144 326100 1451 4 61-PM LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6100 1451 6 ----JEF-2 MATERIAL 6100 REVISION 0 6100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6100 1451 8 ------ENDF-6 FORMAT 6100 1451 9 ******************************************************************6100 1451 10 * JEF-2 *6100 1451 11 * DATA TAKEN FROM EPDL *6100 1451 12 ******************************************************************6100 1451 13 =================================================================6100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6100 1451 15 ENDF/B-VI FORMAT 6100 1451 16 =================================================================6100 1451 17 CONTENTS 6100 1451 18 =================================================================6100 1451 19 MF/MT DESCRIPTION 6100 1451 20 =================================================================6100 1451 21 23/501 TOTAL CROSS SECTION 6100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 48 =================================================================6100 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6100 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6100 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6100 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6100 1451 53 =================================================================6100 1451 54 WARNING 6100 1451 55 =================================================================6100 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6100 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6100 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6100 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6100 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6100 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6100 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6100 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6100 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6100 1451 65 =================================================================6100 1451 66 DEFINITION OF NEW TYPES OF DATA 6100 1451 67 =================================================================6100 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6100 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6100 1451 70 6100 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6100 1451 72 C2 FIELDS ARE, 6100 1451 73 6100 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6100 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6100 1451 76 6100 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6100 1451 78 6100 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6100 1451 80 6100 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6100 1451 82 T = THE THOMSON CROSS SECTION 6100 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6100 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6100 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6100 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6100 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6100 1451 88 6100 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6100 1451 90 6100 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6100 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6100 1451 93 =================================================================6100 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6100 1451 95 =================================================================6100 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6100 1451 97 HERE - 10 EV TO 100 MEV 6100 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6100 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6100 1451 100 HERE - PHOTON INTERACTION 6100 1451 101 - AVERAGE FLUORESCENCE YIELD 6100 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6100 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6100 1451 104 HERE - NO SECONDARY ENERGY DATA 6100 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6100 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6100 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6100 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6100 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6100 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6100 1451 111 (SINCE THEY CAN BE NEGATIVE). 6100 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6100 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6100 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6100 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6100 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6100 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6100 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6100 1451 119 =================================================================6100 1451 120 REFERENCES 6100 1451 121 =================================================================6100 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6100 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6100 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6100 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6100 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6100 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6100 1451 128 6100 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6100 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6100 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6100 1451 132 OF THE DATA, ETC. 6100 1451 133 =================================================================6100 1451 134 HISTORY 6100 1451 135 =================================================================6100 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6100 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6100 1451 138 CROSS SECTIONS. 6100 1451 139 =================================================================6100 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6100 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6100 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6100 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6100 1451 144 *RECONSTRUCTED MT NUMBERS 6100 1451 145 516 =+(515,515)+(517,517) 6100 1451 146 522 =+(534,572) 6100 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6100 1451 148 1 451 180 16100 1451 149 23 501 555 16100 1451 150 23 502 139 16100 1451 151 23 504 30 16100 1451 152 23 515 30 16100 1451 153 23 516 58 16100 1451 154 23 517 41 16100 1451 155 23 522 381 26100 1451 156 23 534 34 26100 1451 157 23 535 41 26100 1451 158 23 536 47 26100 1451 159 23 537 48 26100 1451 160 23 538 47 26100 1451 161 23 539 50 26100 1451 162 23 540 52 26100 1451 163 23 541 63 26100 1451 164 23 542 65 26100 1451 165 23 543 50 26100 1451 166 23 544 54 26100 1451 167 23 545 55 26100 1451 168 23 546 72 26100 1451 169 23 547 73 26100 1451 170 23 548 86 26100 1451 171 23 549 86 26100 1451 172 23 550 57 26100 1451 173 23 551 66 26100 1451 174 23 552 66 26100 1451 175 23 559 61 26100 1451 176 27 502 53 16100 1451 177 27 504 48 16100 1451 178 27 505 116 16100 1451 179 27 506 116 16100 1451 180 6100 1 0 181 6100 0 0 182 6.100000+4 1.436680+2 0 0 0 0610023501 183 0.000000+0 0.000000+0 0 0 1 1654610023501 184 1654 2 0 0 0 0610023501 185 1.000000+1 5.203100+5 1.035460+1 5.205280+5 1.091020+1 5.259410+5610023501 186 1.097560+1 5.271280+5 1.149560+1 5.365650+5 1.154780+1 5.379540+5610023501 187 1.205500+1 5.514480+5 1.224740+1 5.572110+5 1.264160+1 5.715190+5610023501 188 1.312360+1 5.969930+5 1.321580+1 6.018660+5 1.362400+1 6.234390+5610023501 189 1.414710+1 6.529200+5 1.425870+1 6.592090+5 1.452650+1 6.761980+5610023501 190 1.469020+1 6.868820+5 1.499770+1 7.069500+5 1.500000+1 7.071000+5610023501 191 1.535330+1 7.408320+5 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2.044000+6 2.058020-3610023543 1917 2.249780+6 1.770140-3 2.417610+6 1.580970-3 2.693110+6 1.334450-3610023543 1918 3.000000+6 1.126360-3 3.464100+6 9.148190-4 4.000000+6 7.430070-4610023543 1919 4.472140+6 6.380070-4 5.000000+6 5.478450-4 5.477230+6 4.861740-4610023543 1920 6.000000+6 4.314460-4 7.000000+6 3.546820-4 8.000000+6 3.005020-4610023543 1921 9.000000+6 2.604010-4 1.000000+7 2.295470-4 1.100000+7 2.051050-4610023543 1922 1.200000+7 1.853100-4 1.300000+7 1.689540-4 1.400000+7 1.552000-4610023543 1923 1.500000+7 1.434900-4 1.600000+7 1.334070-4 1.800000+7 1.169570-4610023543 1924 2.000000+7 1.040860-4 2.200000+7 9.377030-5 2.400000+7 8.526690-5610023543 1925 2.600000+7 7.820390-5 2.800000+7 7.220960-5 3.000000+7 6.705180-5610023543 1926 3.464100+7 5.754980-5 4.000000+7 4.939440-5 4.472140+7 4.395310-5610023543 1927 5.000000+7 3.911120-5 6.000000+7 3.235960-5 6.928200+7 2.789790-5610023543 1928 8.000000+7 2.405130-5 8.944271+7 2.145540-5 1.000000+8 1.913970-5610023543 1929 610023 0 1930 6.100000+4 1.436680+2 0 0 0 0610023544 1931 2.650100+2 0.000000+0 0 0 1 153610023544 1932 153 2 0 0 0 0610023544 1933 2.650100+2 0.000000+0 2.650100+2 9.455760+4 4.000000+2 8.622560+4610023544 1934 5.000000+2 7.807070+4 6.000000+2 6.855670+4 7.000000+2 5.962240+4610023544 1935 7.937250+2 5.189640+4 9.000000+2 4.517150+4 9.799490+2 4.052200+4610023544 1936 1.067000+3 3.635100+4 1.161840+3 3.210290+4 1.320140+3 2.664320+4610023544 1937 1.500000+3 2.211200+4 1.611850+3 1.963390+4 1.795470+3 1.642770+4610023544 1938 2.000000+3 1.374500+4 2.213360+3 1.140950+4 2.388200+3 9.922220+3610023544 1939 2.676670+3 8.046760+3 3.000000+3 6.525800+3 3.223710+3 5.649140+3610023544 1940 3.590940+3 4.549930+3 4.000000+3 3.664600+3 4.426730+3 2.941770+3610023544 1941 4.776390+3 2.494860+3 5.056650+3 2.204830+3 5.508170+3 1.831750+3610023544 1942 6.000000+3 1.521800+3 6.447420+3 1.286920+3 6.804750+3 1.134880+3610023544 1943 7.378210+3 9.398140+2 8.000000+3 7.782800+2 8.458970+3 6.788150+2610023544 1944 9.197270+3 5.529360+2 1.000000+4 4.504000+2 1.051990+4 3.949960+2610023544 1945 1.149560+4 3.139310+2 1.228630+4 2.642500+2 1.291480+4 2.322200+2610023544 1946 1.391840+4 1.913060+2 1.500000+4 1.576000+2 1.611850+4 1.294930+2610023544 1947 1.701190+4 1.117540+2 1.844550+4 8.959560+1 2.000000+4 7.183100+1610023544 1948 2.103980+4 6.213680+1 2.199390+4 5.473390+1 2.376880+4 4.383730+1610023544 1949 2.519330+4 3.711370+1 2.631750+4 3.275690+1 2.809850+4 2.716160+1610023544 1950 3.000000+4 2.252200+1 3.197810+4 1.859260+1 3.381560+4 1.572100+1610023544 1951 3.550980+4 1.357460+1 3.706180+4 1.193840+1 3.994270+4 9.535120+0610023544 1952 4.224940+4 8.055840+0 4.406640+4 7.099040+0 4.693950+4 5.872640+0610023544 1953 5.000000+4 4.858100+0 5.221370+4 4.243880+0 5.437800+4 3.738770+0610023544 1954 5.868070+4 2.948090+0 6.272390+4 2.394690+0 6.648960+4 1.996390+0610023544 1955 6.996970+4 1.702620+0 7.316380+4 1.481260+0 7.910829+4 1.160850+0610023544 1956 8.388160+4 9.669120-1 8.764960+4 8.430330-1 9.362140+4 6.863270-1610023544 1957 1.000000+5 5.587500-1 1.044270+5 4.879580-1 1.087560+5 4.297580-1610023544 1958 1.173610+5 3.386910-1 1.254480+5 2.749850-1 1.329790+5 2.291540-1610023544 1959 1.399390+5 1.953630-1 1.463280+5 1.699100-1 1.582170+5 1.330850-1610023544 1960 1.677630+5 1.108050-1 1.752990+5 9.657910-2 1.872430+5 7.859030-2610023544 1961 2.000000+5 6.395200-2 2.103980+5 5.488740-2 2.199390+5 4.801640-2610023544 1962 2.376880+5 3.799650-2 2.519330+5 3.187930-2 2.631750+5 2.794680-2610023544 1963 2.809850+5 2.293870-2 3.000000+5 1.882800-2 3.223710+5 1.530890-2610023544 1964 3.402370+5 1.310840-2 3.689100+5 1.038630-2 4.000000+5 8.229400-3610023544 1965 4.229490+5 7.061250-3 4.598630+5 5.612450-3 5.000000+5 4.460900-3610023544 1966 5.477230+5 3.512160-3 6.000000+5 2.765200-3 6.447420+5 2.316540-3610023544 1967 6.804750+5 2.028490-3 7.378210+5 1.662170-3 8.000000+5 1.362000-3610023544 1968 8.458970+5 1.199200-3 9.197270+5 9.907400-4 1.000000+6 8.185200-4610023544 1969 1.022000+6 7.822210-4 1.130270+6 6.411100-4 1.250000+6 5.254550-4610023544 1970 1.369310+6 4.452850-4 1.500000+6 3.773470-4 1.611850+6 3.330880-4610023544 1971 1.795470+6 2.762390-4 2.000000+6 2.290930-4 2.044000+6 2.210090-4610023544 1972 2.249780+6 1.900930-4 2.417610+6 1.697790-4 2.693110+6 1.433050-4610023544 1973 3.000000+6 1.209590-4 3.464100+6 9.824160-5 4.000000+6 7.979080-5610023544 1974 4.472140+6 6.851500-5 5.000000+6 5.883260-5 5.477230+6 5.220980-5610023544 1975 6.000000+6 4.633260-5 7.000000+6 3.808900-5 8.000000+6 3.227060-5610023544 1976 9.000000+6 2.796420-5 1.000000+7 2.465080-5 1.100000+7 2.202610-5610023544 1977 1.200000+7 1.990030-5 1.300000+7 1.814380-5 1.400000+7 1.666680-5610023544 1978 1.500000+7 1.540930-5 1.600000+7 1.432640-5 1.800000+7 1.255990-5610023544 1979 2.000000+7 1.117770-5 2.200000+7 1.006990-5 2.400000+7 9.156730-6610023544 1980 2.600000+7 8.398250-6 2.800000+7 7.754530-6 3.000000+7 7.200640-6610023544 1981 3.464100+7 6.180230-6 4.000000+7 5.304420-6 4.472140+7 4.720080-6610023544 1982 5.000000+7 4.200120-6 6.000000+7 3.475070-6 6.928200+7 2.995930-6610023544 1983 8.000000+7 2.582850-6 8.944271+7 2.304080-6 1.000000+8 2.055400-6610023544 1984 610023 0 1985 6.100000+4 1.436680+2 0 0 0 0610023545 1986 2.398700+2 0.000000+0 0 0 1 156610023545 1987 156 2 0 0 0 0610023545 1988 2.398700+2 0.000000+0 2.398700+2 3.234720+5 3.346400+2 2.803630+5610023545 1989 4.000000+2 2.516670+5 5.000000+2 2.091830+5 6.000000+2 1.734140+5610023545 1990 6.928200+2 1.452960+5 8.000000+2 1.217370+5 9.239050+2 9.902050+4610023545 1991 1.067000+3 8.054300+4 1.161840+3 7.014830+4 1.320140+3 5.701650+4610023545 1992 1.500000+3 4.634300+4 1.611850+3 4.073860+4 1.795470+3 3.357680+4610023545 1993 2.000000+3 2.767400+4 2.213360+3 2.268180+4 2.388200+3 1.953800+4610023545 1994 2.676670+3 1.562020+4 3.000000+3 1.248800+4 3.223710+3 1.071980+4610023545 1995 3.590940+3 8.525651+3 4.000000+3 6.780600+3 4.426730+3 5.381170+3610023545 1996 4.776390+3 4.524640+3 5.056650+3 3.972960+3 5.508170+3 3.268950+3610023545 1997 6.000000+3 2.689700+3 6.447420+3 2.256290+3 6.804750+3 1.977720+3610023545 1998 7.378210+3 1.623000+3 8.000000+3 1.331900+3 8.458970+3 1.154360+3610023545 1999 9.197270+3 9.314150+2 1.000000+4 7.515300+2 1.051990+4 6.552020+2610023545 2000 1.149560+4 5.153790+2 1.228630+4 4.304670+2 1.291480+4 3.760970+2610023545 2001 1.391840+4 3.071420+2 1.500000+4 2.508300+2 1.611850+4 2.042900+2610023545 2002 1.701190+4 1.751450+2 1.844550+4 1.390350+2 2.000000+4 1.103700+2610023545 2003 2.103980+4 9.484480+1 2.199390+4 8.306270+1 2.376880+4 6.585560+1610023545 2004 2.519330+4 5.533270+1 2.631750+4 4.855950+1 2.809850+4 3.992210+1610023545 2005 3.000000+4 3.282100+1 3.197810+4 2.684620+1 3.381560+4 2.251760+1610023545 2006 3.550980+4 1.930660+1 3.706180+4 1.687490+1 3.994270+4 1.333310+1610023545 2007 4.224940+4 1.117370+1 4.406640+4 9.786920+0 4.693950+4 8.022700+0610023545 2008 5.000000+4 6.576500+0 5.221370+4 5.704080+0 5.437800+4 4.991600+0610023545 2009 5.648840+4 4.404700+0 6.066860+4 3.483840+0 6.457930+4 2.837480+0610023545 2010 6.820750+4 2.371090+0 7.154890+4 2.026330+0 7.460660+4 1.766050+0610023545 2011 8.027550+4 1.388400+0 8.480810+4 1.159180+0 8.837470+4 1.012450+0610023545 2012 9.400779+4 8.264460-1 1.000000+5 6.746100-1 1.044270+5 5.844940-1610023545 2013 1.087560+5 5.109750-1 1.129770+5 4.504730-1 1.213370+5 3.556690-1610023545 2014 1.291590+5 2.892360-1 1.364150+5 2.413700-1 1.430980+5 2.060320-1610023545 2015 1.492130+5 1.793820-1 1.605510+5 1.407690-1 1.696160+5 1.173690-1610023545 2016 1.767490+5 1.024090-1 1.880160+5 8.346740-2 2.000000+5 6.802900-2610023545 2017 2.103980+5 5.792110-2 2.199390+5 5.031660-2 2.376880+5 3.933160-2610023545 2018 2.519330+5 3.269750-2 2.631750+5 2.846720-2 2.809850+5 2.312540-2610023545 2019 3.000000+5 1.878600-2 3.223710+5 1.514440-2 3.402370+5 1.288450-2610023545 2020 3.689100+5 1.011090-2 4.000000+5 7.934300-3 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4.540490+4-7.151730+0 4.557720+4-6.696300+0610027506 2931 4.574240+4-6.147510+0 4.595140+4-5.485100+0 4.617720+4-4.886420+0610027506 2932 4.644390+4-4.359130+0 4.699380+4-3.651590+0 4.747490+4-3.202390+0610027506 2933 4.831690+4-2.608790+0 4.958000+4-1.968490+0 5.084300+4-1.518480+0610027506 2934 5.176110+4-1.269650+0 5.268460+4-1.065380+0 5.488270+4-6.653890-1610027506 2935 5.586220+4-5.153410-1 5.692320+4-3.928980-1 5.938680+4-1.464650-1610027506 2936 6.107740+4-4.709960-3 6.123450+4 8.552850-3 6.154760+4 2.536970-2610027506 2937 6.544890+4 2.404650-1 6.604870+4 2.666010-1 6.751320+4 3.078760-1610027506 2938 7.124570+4 4.493740-1 7.255500+4 4.876570-1 7.344560+4 5.022160-1610027506 2939 7.415230+4 5.084760-1 7.740340+4 5.665040-1 7.822100+4 5.731250-1610027506 2940 7.910829+4 5.755730-1 8.405970+4 6.263830-1 8.657300+4 6.254150-1610027506 2941 9.114779+4 6.440590-1 1.010720+5 6.351850-1 1.095550+5 6.099570-1610027506 2942 1.178710+5 5.783700-1 1.251870+5 5.504090-1 1.334400+5 5.196380-1610027506 2943 1.436040+5 4.848370-1 1.587600+5 4.354320-1 1.714900+5 3.970320-1610027506 2944 1.846890+5 3.610030-1 2.027010+5 3.194510-1 2.183820+5 2.868220-1610027506 2945 2.327860+5 2.601200-1 2.491930+5 2.340860-1 2.680820+5 2.077630-1610027506 2946 2.904700+5 1.813270-1 3.109840+5 1.596120-1 3.311840+5 1.415470-1610027506 2947 3.597000+5 1.211890-1 3.913800+5 1.027180-1 4.229490+5 8.713160-2610027506 2948 4.550780+5 7.352820-2 4.900430+5 6.127410-2 5.415170+5 4.803200-2610027506 2949 5.798350+5 3.975720-2 6.447420+5 2.815590-2 6.623670+5 2.538720-2610027506 2950 7.303960+5 1.749260-2 8.036150+5 1.132780-2 8.194080+5 1.009390-2610027506 2951 8.820400+5 5.995080-3 9.057040+5 4.513600-3 9.810890+5 8.906230-4610027506 2952 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0610027506 2953 610027 0 2954 6100 0 0 2955 0 0 0 2956 6.200000+4 1.491080+2 -1 0 2 26200 1451 1 0.000000+0 0.000000+0 0 0 0 66200 1451 2 0.000000+0 0.000000+0 0 0 3 26200 1451 3 0.000000+0 0.000000+0 0 0 144 326200 1451 4 62-SM LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6200 1451 6 ----JEF-2 MATERIAL 6200 REVISION 0 6200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6200 1451 8 ------ENDF-6 FORMAT 6200 1451 9 ******************************************************************6200 1451 10 * JEF-2 *6200 1451 11 * DATA TAKEN FROM EPDL *6200 1451 12 ******************************************************************6200 1451 13 =================================================================6200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6200 1451 15 ENDF/B-VI FORMAT 6200 1451 16 =================================================================6200 1451 17 CONTENTS 6200 1451 18 =================================================================6200 1451 19 MF/MT DESCRIPTION 6200 1451 20 =================================================================6200 1451 21 23/501 TOTAL CROSS SECTION 6200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 48 =================================================================6200 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6200 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6200 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6200 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6200 1451 53 =================================================================6200 1451 54 WARNING 6200 1451 55 =================================================================6200 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6200 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6200 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6200 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6200 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6200 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6200 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6200 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6200 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6200 1451 65 =================================================================6200 1451 66 DEFINITION OF NEW TYPES OF DATA 6200 1451 67 =================================================================6200 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6200 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6200 1451 70 6200 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6200 1451 72 C2 FIELDS ARE, 6200 1451 73 6200 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6200 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6200 1451 76 6200 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6200 1451 78 6200 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6200 1451 80 6200 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6200 1451 82 T = THE THOMSON CROSS SECTION 6200 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6200 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6200 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6200 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6200 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6200 1451 88 6200 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6200 1451 90 6200 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6200 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6200 1451 93 =================================================================6200 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6200 1451 95 =================================================================6200 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6200 1451 97 HERE - 10 EV TO 100 MEV 6200 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6200 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6200 1451 100 HERE - PHOTON INTERACTION 6200 1451 101 - AVERAGE FLUORESCENCE YIELD 6200 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6200 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6200 1451 104 HERE - NO SECONDARY ENERGY DATA 6200 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6200 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6200 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6200 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6200 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6200 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6200 1451 111 (SINCE THEY CAN BE NEGATIVE). 6200 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6200 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6200 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6200 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6200 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6200 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6200 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6200 1451 119 =================================================================6200 1451 120 REFERENCES 6200 1451 121 =================================================================6200 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6200 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6200 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6200 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6200 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6200 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6200 1451 128 6200 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6200 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6200 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6200 1451 132 OF THE DATA, ETC. 6200 1451 133 =================================================================6200 1451 134 HISTORY 6200 1451 135 =================================================================6200 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6200 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6200 1451 138 CROSS SECTIONS. 6200 1451 139 =================================================================6200 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6200 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6200 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6200 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6200 1451 144 *RECONSTRUCTED MT NUMBERS 6200 1451 145 516 =+(515,515)+(517,517) 6200 1451 146 522 =+(534,572) 6200 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6200 1451 148 1 451 180 16200 1451 149 23 501 555 16200 1451 150 23 502 138 16200 1451 151 23 504 30 16200 1451 152 23 515 30 16200 1451 153 23 516 59 16200 1451 154 23 517 41 16200 1451 155 23 522 383 26200 1451 156 23 534 34 26200 1451 157 23 535 41 26200 1451 158 23 536 46 26200 1451 159 23 537 47 26200 1451 160 23 538 46 26200 1451 161 23 539 50 26200 1451 162 23 540 52 26200 1451 163 23 541 62 26200 1451 164 23 542 65 26200 1451 165 23 543 50 26200 1451 166 23 544 54 26200 1451 167 23 545 56 26200 1451 168 23 546 72 26200 1451 169 23 547 72 26200 1451 170 23 548 85 26200 1451 171 23 549 85 26200 1451 172 23 550 56 26200 1451 173 23 551 66 26200 1451 174 23 552 66 26200 1451 175 23 559 61 26200 1451 176 27 502 53 16200 1451 177 27 504 48 16200 1451 178 27 505 115 16200 1451 179 27 506 115 16200 1451 180 6200 1 0 181 6200 0 0 182 6.200000+4 1.491080+2 0 0 0 0620023501 183 0.000000+0 0.000000+0 0 0 1 1654620023501 184 1654 2 0 0 0 0620023501 185 1.000000+1 6.566910+5 1.024250+1 6.485640+5 1.035460+1 6.448070+5620023501 186 1.049080+1 6.414840+5 1.062880+1 6.381180+5 1.105370+1 6.311580+5620023501 187 1.105950+1 6.311090+5 1.149560+1 6.273650+5 1.154780+1 6.274080+5620023501 188 1.205500+1 6.278270+5 1.223530+1 6.287790+5 1.224740+1 6.289450+5620023501 189 1.264160+1 6.369750+5 1.269480+1 6.383490+5 1.302880+1 6.469790+5620023501 190 1.309750+1 6.487540+5 1.312360+1 6.494290+5 1.337150+1 6.562110+5620023501 191 1.355400+1 6.612050+5 1.362400+1 6.636900+5 1.376470+1 6.691660+5620023501 192 1.424100+1 6.940230+5 1.452650+1 7.089220+5 1.462310+1 7.141640+5620023501 193 1.473370+1 7.201650+5 1.500000+1 7.346160+5 1.513600+1 7.438880+5620023501 194 1.554920+1 7.720580+5 1.604630+1 8.153330+5 1.669000+1 8.723300+5620023501 195 1.701190+1 9.008330+5 1.735950+1 9.359910+5 1.773290+1 9.740880+5620023501 196 1.794520+1 9.957480+5 1.799800+1 1.001930+6 1.865990+1 1.079450+6620023501 197 1.901430+1 1.120960+6 1.931570+1 1.158430+6 1.982260+1 1.221440+6620023501 198 2.049200+1 1.304650+6 2.060800+1 1.319070+6 2.119500+1 1.392040+6620023501 199 2.142460+1 1.423590+6 2.218850+1 1.528550+6 2.246840+1 1.567010+6620023501 200 2.283960+1 1.621740+6 2.297970+1 1.642400+6 2.334580+1 1.696370+6620023501 201 2.390580+1 1.778940+6 2.432830+1 1.841230+6 2.447930+1 1.863410+6620023501 202 2.468280+1 1.893300+6 2.499120+1 1.938600+6 2.503340+1 1.944800+6620023501 203 2.530340+1 1.984720+6 2.539280+1 1.997950+6 2.544940+1 2.006320+6620023501 204 2.550080+1 2.013930+6 2.552480+1 2.017480+6 2.554760+1 2.020850+6620023501 205 2.556940+1 2.024080+6 2.559030+1 2.027170+6 2.561680+1 2.031100+6620023501 206 2.564160+1 2.034770+6 2.566490+1 2.038220+6 2.569710+1 2.042990+6620023501 207 2.572680+1 2.047380+6 2.576230+1 2.052640+6 2.580760+1 2.059350+6620023501 208 2.585740+1 2.066730+6 2.591330+1 2.075010+6 2.602000+1 2.090800+6620023501 209 2.602000+1 1.752240+7 2.611580+1 1.732800+7 2.622500+1 1.710650+7620023501 210 2.632490+1 1.690370+7 2.645510+1 1.663950+7 2.655000+1 1.644700+7620023501 211 2.660380+1 1.633790+7 2.687480+1 1.578830+7 2.691090+1 1.571510+7620023501 212 2.704970+1 1.543370+7 2.722160+1 1.516600+7 2.797780+1 1.398860+7620023501 213 2.867130+1 1.290880+7 2.893670+1 1.261080+7 2.927420+1 1.223180+7620023501 214 2.942040+1 1.206760+7 2.954690+1 1.192560+7 2.966780+1 1.178980+7620023501 215 2.979000+1 1.165260+7 2.979000+1 1.887780+7 2.992020+1 1.862560+7620023501 216 3.000000+1 1.847100+7 3.003380+1 1.840550+7 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3.542320+2620023543 1892 1.377040+4 2.960420+2 1.500000+4 2.474100+2 1.611850+4 2.114810+2620023543 1893 1.701190+4 1.880020+2 1.844550+4 1.575800+2 2.000000+4 1.320800+2620023543 1894 2.213360+4 1.049190+2 2.388200+4 8.828070+1 2.528320+4 7.755780+1620023543 1895 2.754080+4 6.386520+1 3.000000+4 5.259000+1 3.197810+4 4.513410+1620023543 1896 3.381560+4 3.948260+1 3.728900+4 3.124160+1 4.012620+4 2.621070+1620023543 1897 4.239490+4 2.297670+1 4.604070+4 1.885820+1 5.000000+4 1.547800+1620023543 1898 5.302550+4 1.334730+1 5.582270+4 1.172510+1 6.107740+4 9.345980+0620023543 1899 6.534060+4 7.884190+0 6.873210+4 6.939960+0 7.415230+4 5.731330+0620023543 1900 8.000000+4 4.733200+0 8.653970+4 3.849190+0 9.269890+4 3.212240+0620023543 1901 9.844679+4 2.741990+0 1.037680+5 2.387360+0 1.086590+5 2.114880+0620023543 1902 1.177800+5 1.710740+0 1.251200+5 1.459170+0 1.369960+5 1.149450+0620023543 1903 1.500000+5 9.054700-1 1.635760+5 7.186770-1 1.764600+5 5.871320-1620023543 1904 1.885620+5 4.919400-1 1.998310+5 4.213980-1 2.102420+5 3.680220-1620023543 1905 2.297840+5 2.903640-1 2.456240+5 2.430780-1 2.582160+5 2.127390-1620023543 1906 2.783250+5 1.741800-1 3.000000+5 1.426100-1 3.223710+5 1.184640-1620023543 1907 3.402370+5 1.030780-1 3.689100+5 8.366310-2 4.000000+5 6.790500-2620023543 1908 4.229490+5 5.912870-2 4.598630+5 4.804440-2 5.000000+5 3.903800-2620023543 1909 5.477230+5 3.142090-2 6.000000+5 2.529000-2 6.447420+5 2.151380-2620023543 1910 6.804750+5 1.905650-2 7.378210+5 1.588660-2 8.000000+5 1.324400-2620023543 1911 8.458970+5 1.178240-2 9.197270+5 9.886820-3 1.000000+6 8.296200-3620023543 1912 1.022000+6 7.943450-3 1.130270+6 6.525550-3 1.250000+6 5.360740-3620023543 1913 1.369310+6 4.527520-3 1.500000+6 3.823810-3 1.611850+6 3.375230-3620023543 1914 1.795470+6 2.799070-3 2.000000+6 2.321260-3 2.044000+6 2.238540-3620023543 1915 2.249780+6 1.925070-3 2.417610+6 1.719130-3 2.693110+6 1.450770-3620023543 1916 3.000000+6 1.224310-3 3.464100+6 9.945490-4 4.000000+6 8.079060-4620023543 1917 4.472140+6 6.936030-4 5.000000+6 5.954720-4 5.477230+6 5.282800-4620023543 1918 6.000000+6 4.686700-4 7.000000+6 3.852010-4 8.000000+6 3.263110-4620023543 1919 9.000000+6 2.826970-4 1.000000+7 2.491870-4 1.100000+7 2.226320-4620023543 1920 1.200000+7 2.011070-4 1.300000+7 1.833420-4 1.400000+7 1.684430-4620023543 1921 1.500000+7 1.557060-4 1.600000+7 1.448030-4 1.800000+7 1.268960-4620023543 1922 2.000000+7 1.129380-4 2.200000+7 1.017050-4 2.400000+7 9.249320-5620023543 1923 2.600000+7 8.483250-5 2.800000+7 7.829970-5 3.000000+7 7.275380-5620023543 1924 3.464100+7 6.243420-5 4.000000+7 5.357840-5 4.472140+7 4.767440-5620023543 1925 5.000000+7 4.242090-5 6.000000+7 3.509390-5 6.928200+7 3.025550-5620023543 1926 8.000000+7 2.608420-5 8.944271+7 2.326730-5 1.000000+8 2.075460-5620023543 1927 620023 0 1928 6.200000+4 1.491080+2 0 0 0 0620023544 1929 2.774300+2 0.000000+0 0 0 1 152620023544 1930 152 2 0 0 0 0620023544 1931 2.774300+2 0.000000+0 2.774300+2 9.058550+4 4.000000+2 8.402250+4620023544 1932 5.000000+2 7.708560+4 6.000000+2 6.838950+4 7.000000+2 5.997330+4620023544 1933 7.937250+2 5.247800+4 9.000000+2 4.591950+4 1.004440+3 3.997550+4620023544 1934 1.121000+3 3.480100+4 1.214220+3 3.097650+4 1.368770+3 2.601310+4620023544 1935 1.543000+3 2.184500+4 1.756700+3 1.766880+4 2.000000+3 1.429100+4620023544 1936 2.213360+3 1.188790+4 2.388200+3 1.035460+4 2.676670+3 8.417460+3620023544 1937 3.000000+3 6.842701+3 3.223710+3 5.931400+3 3.590940+3 4.786880+3620023544 1938 4.000000+3 3.863200+3 4.426730+3 3.107140+3 4.776390+3 2.638890+3620023544 1939 5.056650+3 2.334620+3 5.508170+3 1.942720+3 6.000000+3 1.616600+3620023544 1940 6.447420+3 1.369040+3 6.804750+3 1.208580+3 7.378210+3 1.002450+3620023544 1941 8.000000+3 8.314800+2 8.458970+3 7.260260+2 9.197270+3 5.923830+2620023544 1942 1.000000+4 4.833400+2 1.051990+4 4.243010+2 1.149560+4 3.378010+2620023544 1943 1.228630+4 2.847090+2 1.291480+4 2.504420+2 1.391840+4 2.066160+2620023544 1944 1.500000+4 1.704600+2 1.611850+4 1.402470+2 1.701190+4 1.211570+2620023544 1945 1.844550+4 9.728070+1 2.000000+4 7.811000+1 2.103980+4 6.763170+1620023544 1946 2.199390+4 5.962300+1 2.376880+4 4.782170+1 2.519330+4 4.053060+1620023544 1947 2.631750+4 3.580150+1 2.809850+4 2.972210+1 3.000000+4 2.467500+1620023544 1948 3.197810+4 2.039240+1 3.381560+4 1.725950+1 3.550980+4 1.491570+1620023544 1949 3.706180+4 1.312750+1 3.994270+4 1.049840+1 4.224940+4 8.878320+0620023544 1950 4.406640+4 7.829530+0 4.693950+4 6.484000+0 5.000000+4 5.369700+0620023544 1951 5.221370+4 4.693930+0 5.437800+4 4.137850+0 5.868070+4 3.266590+0620023544 1952 6.272390+4 2.656130+0 6.648960+4 2.216340+0 6.996970+4 1.891680+0620023544 1953 7.316380+4 1.646870+0 7.910829+4 1.292200+0 8.388160+4 1.077290+0620023544 1954 8.764960+4 9.399030-1 9.362140+4 7.659670-1 1.000000+5 6.242200-1620023544 1955 1.044270+5 5.454230-1 1.087560+5 4.806090-1 1.173610+5 3.791200-1620023544 1956 1.254480+5 3.080620-1 1.329790+5 2.569020-1 1.399390+5 2.191570-1620023544 1957 1.463280+5 1.907080-1 1.582170+5 1.495180-1 1.677630+5 1.245770-1620023544 1958 1.752990+5 1.086420-1 1.872430+5 8.847760-2 2.000000+5 7.205600-2620023544 1959 2.103980+5 6.187410-2 2.199390+5 5.415240-2 2.376880+5 4.288530-2620023544 1960 2.519330+5 3.600190-2 2.631750+5 3.157470-2 2.809850+5 2.593340-2620023544 1961 3.000000+5 2.130000-2 3.223710+5 1.732720-2 3.402370+5 1.484190-2620023544 1962 3.689100+5 1.176610-2 4.000000+5 9.327700-3 4.229490+5 8.007390-3620023544 1963 4.598630+5 6.368910-3 5.000000+5 5.065700-3 5.477230+5 3.990490-3620023544 1964 6.000000+5 3.143500-3 6.447420+5 2.634550-3 6.804750+5 2.307680-3620023544 1965 7.378210+5 1.891820-3 8.000000+5 1.550900-3 8.458970+5 1.365730-3620023544 1966 9.197270+5 1.128600-3 1.000000+6 9.326400-4 1.022000+6 8.912670-4620023544 1967 1.130270+6 7.303710-4 1.250000+6 5.985210-4 1.369310+6 5.072300-4620023544 1968 1.500000+6 4.298640-4 1.611850+6 3.794360-4 1.795470+6 3.146650-4620023544 1969 2.000000+6 2.609510-4 2.044000+6 2.516520-4 2.249780+6 2.164130-4620023544 1970 2.417610+6 1.932610-4 2.693110+6 1.630930-4 3.000000+6 1.376350-4620023544 1971 3.464100+6 1.118050-4 4.000000+6 9.082300-5 4.472140+6 7.797330-5620023544 1972 5.000000+6 6.694160-5 5.477230+6 5.938800-5 6.000000+6 5.268680-5620023544 1973 7.000000+6 4.330340-5 8.000000+6 3.668320-5 9.000000+6 3.178010-5620023544 1974 1.000000+7 2.801300-5 1.100000+7 2.502780-5 1.200000+7 2.260800-5620023544 1975 1.300000+7 2.061080-5 1.400000+7 1.893600-5 1.500000+7 1.750420-5620023544 1976 1.600000+7 1.627840-5 1.800000+7 1.426540-5 2.000000+7 1.269620-5620023544 1977 2.200000+7 1.143340-5 2.400000+7 1.039790-5 2.600000+7 9.536670-6620023544 1978 2.800000+7 8.802270-6 3.000000+7 8.178820-6 3.464100+7 7.018710-6620023544 1979 4.000000+7 6.023160-6 4.472140+7 5.359450-6 5.000000+7 4.768870-6620023544 1980 6.000000+7 3.945170-6 6.928200+7 3.401260-6 8.000000+7 2.932330-6620023544 1981 8.944271+7 2.615660-6 1.000000+8 2.333180-6 0.000000+0 0.000000+0620023544 1982 620023 0 1983 6.200000+4 1.491080+2 0 0 0 0620023545 1984 2.500600+2 0.000000+0 0 0 1 157620023545 1985 157 2 0 0 0 0620023545 1986 2.500600+2 0.000000+0 2.500600+2 3.177160+5 3.496200+2 2.736450+5620023545 1987 4.000000+2 2.526260+5 5.000000+2 2.118270+5 6.000000+2 1.765830+5620023545 1988 6.928200+2 1.485190+5 8.000000+2 1.249150+5 8.704000+2 1.107690+5620023545 1989 9.877850+2 9.249570+4 1.121000+3 7.723700+4 1.214220+3 6.782520+4620023545 1990 1.368770+3 5.581350+4 1.543000+3 4.592900+4 1.646390+3 4.091510+4620023545 1991 1.814600+3 3.440160+4 2.000000+3 2.892500+4 2.213360+3 2.374310+4620023545 1992 2.388200+3 2.047560+4 2.676670+3 1.639770+4 3.000000+3 1.313200+4620023545 1993 3.223710+3 1.128400+4 3.590940+3 8.987871+3 4.000000+3 7.159000+3620023545 1994 4.426730+3 5.689810+3 4.776390+3 4.789410+3 5.056650+3 4.208910+3620023545 1995 5.508170+3 3.467390+3 6.000000+3 2.856500+3 6.447420+3 2.398970+3620023545 1996 6.804750+3 2.104590+3 7.378210+3 1.729340+3 8.000000+3 1.421000+3620023545 1997 8.458970+3 1.232700+3 9.197270+3 9.959880+2 1.000000+4 8.047300+2620023545 1998 1.051990+4 7.021420+2 1.149560+4 5.530700+2 1.228630+4 4.624310+2620023545 1999 1.291480+4 4.043400+2 1.391840+4 3.305950+2 1.500000+4 2.703000+2620023545 2000 1.611850+4 2.203890+2 1.701190+4 1.891030+2 1.844550+4 1.503000+2620023545 2001 2.000000+4 1.194600+2 2.103980+4 1.027360+2 2.199390+4 9.003501+1620023545 2002 2.376880+4 7.146860+1 2.519330+4 6.010260+1 2.631750+4 5.278090+1620023545 2003 2.809850+4 4.343620+1 3.000000+4 3.574600+1 3.197810+4 2.926490+1620023545 2004 3.381560+4 2.456550+1 3.550980+4 2.107700+1 3.706180+4 1.843340+1620023545 2005 3.994270+4 1.457970+1 4.224940+4 1.222810+1 4.406640+4 1.071680+1620023545 2006 4.693950+4 8.792710+0 5.000000+4 7.214100+0 5.221370+4 6.260400+0620023545 2007 5.437800+4 5.481130+0 5.648840+4 4.838900+0 6.066860+4 3.830590+0620023545 2008 6.457930+4 3.122260+0 6.820750+4 2.610790+0 7.154890+4 2.232480+0620023545 2009 7.460660+4 1.946710+0 8.027550+4 1.531790+0 8.480810+4 1.279750+0620023545 2010 8.837470+4 1.118320+0 9.400779+4 9.135480-1 1.000000+5 7.462700-1620023545 2011 1.044270+5 6.468450-1 1.087560+5 5.656980-1 1.129770+5 4.988940-1620023545 2012 1.213370+5 3.941640-1 1.291590+5 3.207290-1 1.364150+5 2.677880-1620023545 2013 1.430980+5 2.286840-1 1.492130+5 1.991830-1 1.605510+5 1.564150-1620023545 2014 1.696160+5 1.304820-1 1.767490+5 1.138940-1 1.880160+5 9.288180-2620023545 2015 2.000000+5 7.574600-2 2.103980+5 6.451340-2 2.199390+5 5.606010-2620023545 2016 2.376880+5 4.384410-2 2.519330+5 3.646310-2 2.631750+5 3.175490-2620023545 2017 2.809850+5 2.580750-2 3.000000+5 2.097400-2 3.223710+5 1.691150-2620023545 2018 3.402370+5 1.438990-2 3.689100+5 1.129460-2 4.000000+5 8.865100-3620023545 2019 4.229490+5 7.574380-3 4.598630+5 5.981940-3 5.000000+5 4.724300-3620023545 2020 5.233180+5 4.183710-3 5.603490+5 3.486570-3 6.000000+5 2.905600-3620023545 2021 6.447420+5 2.432220-3 6.804750+5 2.128520-3 7.378210+5 1.742570-3620023545 2022 8.000000+5 1.426600-3 8.458970+5 1.257030-3 9.197270+5 1.039710-3620023545 2023 1.000000+6 8.599600-4 1.022000+6 8.219350-4 1.130270+6 6.736890-4620023545 2024 1.250000+6 5.521810-4 1.369310+6 4.678300-4 1.500000+6 3.963650-4620023545 2025 1.611850+6 3.498660-4 1.795470+6 2.901430-4 2.000000+6 2.406150-4620023545 2026 2.044000+6 2.320410-4 2.249780+6 1.995480-4 2.417610+6 1.782000-4620023545 2027 2.693110+6 1.503840-4 3.000000+6 1.269090-4 3.464100+6 1.030920-4620023545 2028 4.000000+6 8.374520-5 4.472140+6 7.189690-5 5.000000+6 6.172490-5620023545 2029 5.477230+6 5.476000-5 6.000000+6 4.858100-5 7.000000+6 3.992880-5620023545 2030 8.000000+6 3.382450-5 9.000000+6 2.930350-5 1.000000+7 2.583000-5620023545 2031 1.100000+7 2.307740-5 1.200000+7 2.084620-5 1.300000+7 1.900470-5620023545 2032 1.400000+7 1.746030-5 1.500000+7 1.614010-5 1.600000+7 1.500980-5620023545 2033 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2.618330-2 7.308990+5 1.830350-2 8.035970+5 1.189320-2620027506 2944 8.157610+5 1.085920-2 8.820400+5 6.296190-3 9.057020+5 4.734430-3620027506 2945 9.808360+5 9.504810-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0620027506 2946 620027 0 2947 6200 0 0 2948 0 0 0 2949 6.300000+4 1.506550+2 -1 0 2 26300 1451 1 0.000000+0 0.000000+0 0 0 0 66300 1451 2 0.000000+0 0.000000+0 0 0 3 26300 1451 3 0.000000+0 0.000000+0 0 0 144 326300 1451 4 63-EU LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6300 1451 6 ----JEF-2 MATERIAL 6300 REVISION 0 6300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6300 1451 8 ------ENDF-6 FORMAT 6300 1451 9 ******************************************************************6300 1451 10 * JEF-2 *6300 1451 11 * DATA TAKEN FROM EPDL *6300 1451 12 ******************************************************************6300 1451 13 =================================================================6300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6300 1451 15 ENDF/B-VI FORMAT 6300 1451 16 =================================================================6300 1451 17 CONTENTS 6300 1451 18 =================================================================6300 1451 19 MF/MT DESCRIPTION 6300 1451 20 =================================================================6300 1451 21 23/501 TOTAL CROSS SECTION 6300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 48 =================================================================6300 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6300 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6300 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6300 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6300 1451 53 =================================================================6300 1451 54 WARNING 6300 1451 55 =================================================================6300 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6300 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6300 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6300 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6300 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6300 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6300 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6300 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6300 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6300 1451 65 =================================================================6300 1451 66 DEFINITION OF NEW TYPES OF DATA 6300 1451 67 =================================================================6300 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6300 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6300 1451 70 6300 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6300 1451 72 C2 FIELDS ARE, 6300 1451 73 6300 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6300 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6300 1451 76 6300 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6300 1451 78 6300 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6300 1451 80 6300 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6300 1451 82 T = THE THOMSON CROSS SECTION 6300 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6300 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6300 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6300 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6300 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6300 1451 88 6300 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6300 1451 90 6300 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6300 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6300 1451 93 =================================================================6300 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6300 1451 95 =================================================================6300 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6300 1451 97 HERE - 10 EV TO 100 MEV 6300 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6300 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6300 1451 100 HERE - PHOTON INTERACTION 6300 1451 101 - AVERAGE FLUORESCENCE YIELD 6300 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6300 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6300 1451 104 HERE - NO SECONDARY ENERGY DATA 6300 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6300 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6300 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6300 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6300 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6300 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6300 1451 111 (SINCE THEY CAN BE NEGATIVE). 6300 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6300 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6300 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6300 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6300 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6300 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6300 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6300 1451 119 =================================================================6300 1451 120 REFERENCES 6300 1451 121 =================================================================6300 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6300 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6300 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6300 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6300 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6300 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6300 1451 128 6300 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6300 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6300 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6300 1451 132 OF THE DATA, ETC. 6300 1451 133 =================================================================6300 1451 134 HISTORY 6300 1451 135 =================================================================6300 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6300 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6300 1451 138 CROSS SECTIONS. 6300 1451 139 =================================================================6300 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6300 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6300 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6300 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6300 1451 144 *RECONSTRUCTED MT NUMBERS 6300 1451 145 516 =+(515,515)+(517,517) 6300 1451 146 522 =+(534,572) 6300 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6300 1451 148 1 451 180 16300 1451 149 23 501 550 16300 1451 150 23 502 141 16300 1451 151 23 504 30 16300 1451 152 23 515 30 16300 1451 153 23 516 59 16300 1451 154 23 517 41 16300 1451 155 23 522 379 26300 1451 156 23 534 34 26300 1451 157 23 535 40 26300 1451 158 23 536 45 26300 1451 159 23 537 47 26300 1451 160 23 538 46 26300 1451 161 23 539 50 26300 1451 162 23 540 52 26300 1451 163 23 541 62 26300 1451 164 23 542 64 26300 1451 165 23 543 50 26300 1451 166 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2.109650+3 5.895870+3 1.720950+3630023543 1880 6.378370+3 1.477190+3 7.177170+3 1.174730+3 8.076000+3 9.342000+2630023543 1881 8.986661+3 7.530330+2 1.000000+4 6.070000+2 1.106680+4 4.910980+2630023543 1882 1.194100+4 4.189410+2 1.264160+4 3.718700+2 1.377040+4 3.109920+2630023543 1883 1.500000+4 2.600800+2 1.611850+4 2.224420+2 1.701190+4 1.978330+2630023543 1884 1.844550+4 1.659290+2 2.000000+4 1.391700+2 2.213360+4 1.106530+2630023543 1885 2.388200+4 9.317070+1 2.528320+4 8.189650+1 2.754080+4 6.749080+1630023543 1886 3.000000+4 5.561900+1 3.197810+4 4.776330+1 3.381560+4 4.180530+1630023543 1887 3.728900+4 3.311100+1 4.012620+4 2.779890+1 4.239490+4 2.438190+1630023543 1888 4.604070+4 2.002770+1 5.000000+4 1.645100+1 5.302550+4 1.419470+1630023543 1889 5.582270+4 1.247580+1 6.107740+4 9.953280+0 6.534060+4 8.402140+0630023543 1890 6.873210+4 7.399590+0 7.415230+4 6.115530+0 8.000000+4 5.054300+0630023543 1891 8.653970+4 4.113400+0 9.269890+4 3.434980+0 9.844679+4 2.933810+0630023543 1892 1.037680+5 2.555640+0 1.086590+5 2.264960+0 1.177800+5 1.833540+0630023543 1893 1.251200+5 1.564820+0 1.369960+5 1.233740+0 1.500000+5 9.727100-1630023543 1894 1.635760+5 7.726110-1 1.764600+5 6.315980-1 1.885620+5 5.294940-1630023543 1895 1.998310+5 4.537890-1 2.102420+5 3.964810-1 2.297840+5 3.130530-1630023543 1896 2.456240+5 2.622190-1 2.582160+5 2.295880-1 2.783250+5 1.880940-1630023543 1897 3.000000+5 1.541000-1 3.223710+5 1.280740-1 3.402370+5 1.114830-1630023543 1898 3.689100+5 9.053650-2 4.000000+5 7.352600-2 4.207960+5 6.500370-2630023543 1899 4.598240+5 5.239710-2 4.914520+5 4.457430-2 5.165930+5 3.948360-2630023543 1900 5.567370+5 3.291670-2 6.000000+5 2.744200-2 6.447420+5 2.334930-2630023543 1901 6.804750+5 2.068560-2 7.378210+5 1.724880-2 8.000000+5 1.438300-2630023543 1902 8.458970+5 1.279690-2 9.197270+5 1.073960-2 1.000000+6 9.013100-3630023543 1903 1.022000+6 8.629890-3 1.130270+6 7.089120-3 1.250000+6 5.823440-3630023543 1904 1.369310+6 4.917710-3 1.500000+6 4.152850-3 1.611850+6 3.665520-3630023543 1905 1.795470+6 3.039620-3 2.000000+6 2.520590-3 2.044000+6 2.430810-3630023543 1906 2.249780+6 2.090300-3 2.417610+6 1.866610-3 2.693110+6 1.575140-3630023543 1907 3.000000+6 1.329180-3 3.464100+6 1.079340-3 4.000000+6 8.764590-4630023543 1908 4.472140+6 7.522170-4 5.000000+6 6.455870-4 5.477230+6 5.728450-4630023543 1909 6.000000+6 5.082990-4 7.000000+6 4.175650-4 8.000000+6 3.536710-4630023543 1910 9.000000+6 3.063570-4 1.000000+7 2.700160-4 1.100000+7 2.412280-4630023543 1911 1.200000+7 2.179030-4 1.300000+7 1.986160-4 1.400000+7 1.824650-4630023543 1912 1.500000+7 1.686890-4 1.600000+7 1.568120-4 1.800000+7 1.374310-4630023543 1913 2.000000+7 1.223240-4 2.200000+7 1.101630-4 2.400000+7 1.001870-4630023543 1914 2.600000+7 9.187380-5 2.800000+7 8.479560-5 3.000000+7 7.876250-5630023543 1915 3.464100+7 6.759040-5 4.000000+7 5.800300-5 4.472140+7 5.161050-5630023543 1916 5.000000+7 4.592260-5 6.000000+7 3.798940-5 6.928200+7 3.274920-5630023543 1917 8.000000+7 2.823190-5 8.944271+7 2.518390-5 1.000000+8 2.246490-5630023543 1918 630023 0 1919 6.300000+4 1.506550+2 0 0 0 0630023544 1920 2.900500+2 0.000000+0 0 0 1 153630023544 1921 153 2 0 0 0 0630023544 1922 2.900500+2 0.000000+0 2.900500+2 8.737840+4 3.000000+2 8.562570+4630023544 1923 4.000000+2 8.150840+4 5.000000+2 7.577200+4 6.000000+2 6.793700+4630023544 1924 7.000000+2 6.006190+4 7.937250+2 5.284230+4 9.000000+2 4.649050+4630023544 1925 1.028350+3 3.936580+4 1.175000+3 3.333300+4 1.272440+3 2.968410+4630023544 1926 1.433970+3 2.494590+4 1.616000+3 2.096400+4 1.797780+3 1.762750+4630023544 1927 2.000000+3 1.482200+4 2.213360+3 1.235630+4 2.388200+3 1.078010+4630023544 1928 2.676670+3 8.784670+3 3.000000+3 7.158600+3 3.223710+3 6.213830+3630023544 1929 3.590940+3 5.025240+3 4.000000+3 4.064000+3 4.426730+3 3.274810+3630023544 1930 4.776390+3 2.785230+3 5.056650+3 2.466700+3 5.508170+3 2.055890+3630023544 1931 6.000000+3 1.713500+3 6.462680+3 1.445090+3 6.832951+3 1.271750+3630023544 1932 7.428520+3 1.049940+3 8.076000+3 8.668100+2 8.519170+3 7.619320+2630023544 1933 9.229930+3 6.279210+2 1.000000+4 5.174800+2 1.051990+4 4.547110+2630023544 1934 1.149560+4 3.626260+2 1.228630+4 3.060210+2 1.291480+4 2.694450+2630023544 1935 1.391840+4 2.226130+2 1.500000+4 1.839200+2 1.611850+4 1.515260+2630023544 1936 1.701190+4 1.310330+2 1.844550+4 1.053700+2 2.000000+4 8.473400+1630023544 1937 2.103980+4 7.343560+1 2.199390+4 6.479240+1 2.376880+4 5.204220+1630023544 1938 2.519330+4 4.415490+1 2.631750+4 3.903430+1 2.809850+4 3.244500+1630023544 1939 3.000000+4 2.696800+1 3.197810+4 2.231190+1 3.381560+4 1.890230+1630023544 1940 3.550980+4 1.634920+1 3.706180+4 1.439970+1 3.994270+4 1.153070+1630023544 1941 4.224940+4 9.760690+0 4.406640+4 8.613900+0 4.693950+4 7.141330+0630023544 1942 5.000000+4 5.920500+0 5.221370+4 5.178820+0 5.437800+4 4.568110+0630023544 1943 5.868070+4 3.610440+0 6.272390+4 2.938700+0 6.648960+4 2.454290+0630023544 1944 6.996970+4 2.096410+0 7.316380+4 1.826340+0 7.910829+4 1.434720+0630023544 1945 8.388160+4 1.197170+0 8.764960+4 1.045190+0 9.362140+4 8.526280-1630023544 1946 1.000000+5 6.955400-1 1.044270+5 6.080660-1 1.087560+5 5.360780-1630023544 1947 1.173610+5 4.232750-1 1.254480+5 3.442250-1 1.329790+5 2.872670-1630023544 1948 1.399390+5 2.452150-1 1.463280+5 2.135020-1 1.582170+5 1.675510-1630023544 1949 1.677630+5 1.397030-1 1.752990+5 1.218990-1 1.872430+5 9.935550-2630023544 1950 2.000000+5 8.098100-2 2.103980+5 6.957260-2 2.199390+5 6.091680-2630023544 1951 2.376880+5 4.827910-2 2.519330+5 4.055330-2 2.631750+5 3.558160-2630023544 1952 2.809850+5 2.924330-2 3.000000+5 2.403400-2 3.223710+5 1.956290-2630023544 1953 3.402370+5 1.676440-2 3.689100+5 1.329900-2 4.000000+5 1.055000-2630023544 1954 4.229490+5 9.059990-3 4.598630+5 7.210080-3 5.000000+5 5.737900-3630023544 1955 5.477230+5 4.522660-3 6.000000+5 3.564800-3 6.447420+5 2.988160-3630023544 1956 6.804750+5 2.617770-3 7.378210+5 2.146460-3 8.000000+5 1.760000-3630023544 1957 8.458970+5 1.550460-3 9.197270+5 1.281990-3 1.000000+6 1.060000-3630023544 1958 1.022000+6 1.013050-3 1.130270+6 8.302010-4 1.250000+6 6.803550-4630023544 1959 1.369310+6 5.764430-4 1.500000+6 4.884020-4 1.611850+6 4.310890-4630023544 1960 1.795470+6 3.574790-4 2.000000+6 2.964380-4 2.044000+6 2.858790-4630023544 1961 2.249780+6 2.458330-4 2.417610+6 2.195250-4 2.693110+6 1.852460-4630023544 1962 3.000000+6 1.563200-4 3.464100+6 1.269370-4 4.000000+6 1.030770-4630023544 1963 4.472140+6 8.846550-5 5.000000+6 7.592520-5 5.477230+6 6.737030-5630023544 1964 6.000000+6 5.977930-5 7.000000+6 4.910840-5 8.000000+6 4.159410-5630023544 1965 9.000000+6 3.602960-5 1.000000+7 3.175560-5 1.100000+7 2.837000-5630023544 1966 1.200000+7 2.562690-5 1.300000+7 2.335860-5 1.400000+7 2.145910-5630023544 1967 1.500000+7 1.983890-5 1.600000+7 1.844220-5 1.800000+7 1.616270-5630023544 1968 2.000000+7 1.438610-5 2.200000+7 1.295590-5 2.400000+7 1.178270-5630023544 1969 2.600000+7 1.080500-5 2.800000+7 9.972520-6 3.000000+7 9.262990-6630023544 1970 3.464100+7 7.949080-6 4.000000+7 6.821540-6 4.472140+7 6.069740-6630023544 1971 5.000000+7 5.400800-6 6.000000+7 4.467800-6 6.928200+7 3.851530-6630023544 1972 8.000000+7 3.320260-6 8.944271+7 2.961790-6 1.000000+8 2.642020-6630023544 1973 630023 0 1974 6.300000+4 1.506550+2 0 0 0 0630023545 1975 2.603000+2 0.000000+0 0 0 1 156630023545 1976 156 2 0 0 0 0630023545 1977 2.603000+2 0.000000+0 2.603000+2 3.120420+5 3.226760+2 2.810120+5630023545 1978 4.000000+2 2.530680+5 5.000000+2 2.139130+5 6.000000+2 1.793930+5630023545 1979 6.928200+2 1.514930+5 8.000000+2 1.279320+5 8.752130+2 1.127140+5630023545 1980 1.001500+3 9.321310+4 1.146000+3 7.708600+4 1.248820+3 6.703730+4630023545 1981 1.420590+3 5.436610+4 1.616000+3 4.409000+4 1.797780+3 3.647120+4630023545 1982 2.000000+3 3.016900+4 2.213360+3 2.480270+4 2.388200+3 2.141420+4630023545 1983 2.676670+3 1.717940+4 3.000000+3 1.378200+4 3.223710+3 1.185450+4630023545 1984 3.590940+3 9.456781+3 4.000000+3 7.544000+3 4.426730+3 6.004390+3630023545 1985 4.776390+3 5.059630+3 5.056650+3 4.449970+3 5.508170+3 3.670400+3630023545 1986 6.000000+3 3.027400+3 6.462680+3 2.530500+3 6.832951+3 2.212120+3630023545 1987 7.428520+3 1.808060+3 8.076000+3 1.477800+3 8.519170+3 1.290640+3630023545 1988 9.229930+3 1.053380+3 1.000000+4 8.597400+2 1.051990+4 7.507320+2630023545 1989 1.149560+4 5.921630+2 1.228630+4 4.956310+2 1.291480+4 4.337070+2630023545 1990 1.391840+4 3.550210+2 1.500000+4 2.906100+2 1.611850+4 2.372090+2630023545 1991 1.701190+4 2.037020+2 1.844550+4 1.621040+2 2.000000+4 1.290000+2630023545 1992 2.103980+4 1.110240+2 2.199390+4 9.736250+1 2.376880+4 7.737430+1630023545 1993 2.519330+4 6.512540+1 2.631750+4 5.722900+1 2.809850+4 4.714270+1630023545 1994 3.000000+4 3.883400+1 3.197810+4 3.182130+1 3.381560+4 2.673220+1630023545 1995 3.550980+4 2.295150+1 3.706180+4 2.008480+1 3.994270+4 1.590240+1630023545 1996 4.224940+4 1.334780+1 4.406640+4 1.170500+1 4.693950+4 9.611970+0630023545 1997 5.000000+4 7.893200+0 5.221370+4 6.853280+0 5.437800+4 6.003130+0630023545 1998 5.648840+4 5.302160+0 6.066860+4 4.200900+0 6.457930+4 3.426670+0630023545 1999 6.820750+4 2.867210+0 7.154890+4 2.453150+0 7.460660+4 2.140200+0630023545 2000 8.027550+4 1.685520+0 8.480810+4 1.409110+0 8.837470+4 1.231980+0630023545 2001 9.400779+4 1.007140+0 1.000000+5 8.233300-1 1.044270+5 7.139270-1630023545 2002 1.087560+5 6.246020-1 1.129770+5 5.510370-1 1.213370+5 4.356520-1630023545 2003 1.291590+5 3.546930-1 1.364150+5 2.962970-1 1.430980+5 2.531440-1630023545 2004 1.492130+5 2.205730-1 1.605510+5 1.733310-1 1.696160+5 1.446670-1630023545 2005 1.767490+5 1.263250-1 1.880160+5 1.030790-1 2.000000+5 8.411000-2630023545 2006 2.103980+5 7.166090-2 2.199390+5 6.228920-2 2.376880+5 4.874050-2630023545 2007 2.519330+5 4.055070-2 2.631750+5 3.532480-2 2.809850+5 2.872120-2630023545 2008 3.000000+5 2.335200-2 3.223710+5 1.883480-2 3.402370+5 1.603030-2630023545 2009 3.689100+5 1.258660-2 4.000000+5 9.882700-3 4.229490+5 8.445310-3630023545 2010 4.598630+5 6.671530-3 5.000000+5 5.270300-3 5.233180+5 4.667670-3630023545 2011 5.603490+5 3.890420-3 6.000000+5 3.242600-3 6.447420+5 2.713820-3630023545 2012 6.804750+5 2.374630-3 7.378210+5 1.943660-3 8.000000+5 1.590900-3630023545 2013 8.458970+5 1.401990-3 9.197270+5 1.159830-3 1.000000+6 9.595000-4630023545 2014 1.022000+6 9.171000-4 1.130270+6 7.516760-4 1.250000+6 6.160910-4630023545 2015 1.369310+6 5.218920-4 1.500000+6 4.420960-4 1.611850+6 3.902160-4630023545 2016 1.795470+6 3.235850-4 2.000000+6 2.683320-4 2.044000+6 2.587740-4630023545 2017 2.249780+6 2.225250-4 2.417610+6 1.987110-4 2.693110+6 1.676830-4630023545 2018 3.000000+6 1.414990-4 3.464100+6 1.149020-4 4.000000+6 9.330440-5630023545 2019 4.472140+6 8.007810-5 5.000000+6 6.872670-5 5.477230+6 6.098280-5630023545 2020 6.000000+6 5.411150-5 7.000000+6 4.445240-5 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1.349350-1630027506 2894 1.506440+4 1.562810-1 1.537810+4 1.818230-1 1.617600+4 2.081280-1630027506 2895 1.655920+4 2.104980-1 1.679660+4 2.137820-1 1.701960+4 2.097870-1630027506 2896 1.771420+4 1.782920-1 1.824290+4 1.591120-1 1.847640+4 1.492690-1630027506 2897 1.905710+4 1.102940-1 1.954690+4 8.567640-2 2.006310+4 5.855420-2630027506 2898 2.040420+4 4.107310-2 2.048010+4 3.631000-2 2.080010+4 1.188170-2630027506 2899 2.083640+4 9.455240-3 2.103980+4-9.094820-3 2.110850+4-1.547240-2630027506 2900 2.139600+4-3.657170-2 2.143590+4-3.929360-2 2.170630+4-5.944740-2630027506 2901 2.242480+4-1.123200-1 2.290520+4-1.499390-1 2.340830+4-1.968370-1630027506 2902 2.384130+4-2.392640-1 2.557100+4-3.861650-1 2.631750+4-4.619500-1630027506 2903 2.719340+4-5.433100-1 2.934910+4-7.563460-1 3.198050+4-1.010410+0630027506 2904 3.427180+4-1.254160+0 3.585090+4-1.423200+0 3.847530+4-1.754640+0630027506 2905 4.045000+4-2.058510+0 4.210140+4-2.373330+0 4.430630+4-2.942720+0630027506 2906 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3.386160-1 7.359310+4 3.522520-1630027506 2919 7.484890+4 3.779960-1 7.839970+4 4.774010-1 7.975950+4 5.030140-1630027506 2920 8.279190+4 5.461810-1 8.401160+4 5.525670-1 8.882100+4 6.038370-1630027506 2921 9.114779+4 6.056950-1 9.495060+4 6.220620-1 9.844679+4 6.210490-1630027506 2922 1.025670+5 6.308830-1 1.143200+5 6.074340-1 1.220830+5 5.824090-1630027506 2923 1.327370+5 5.473600-1 1.433510+5 5.101290-1 1.527210+5 4.789870-1630027506 2924 1.655920+5 4.408860-1 1.798500+5 3.993350-1 1.924560+5 3.661960-1630027506 2925 2.077490+5 3.310540-1 2.220390+5 3.005810-1 2.518410+5 2.491020-1630027506 2926 2.787000+5 2.122180-1 3.000000+5 1.867000-1 3.153520+5 1.687980-1630027506 2927 3.473490+5 1.418140-1 3.841410+5 1.171650-1 4.004150+5 1.072500-1630027506 2928 4.503910+5 8.227390-2 4.900420+5 6.736490-2 5.415170+5 5.289500-2630027506 2929 5.798350+5 4.380240-2 6.461930+5 3.078150-2 6.639380+5 2.772440-2630027506 2930 7.378210+5 1.874410-2 7.790610+5 1.464200-2 8.380730+5 9.982210-3630027506 2931 8.637790+5 8.046580-3 9.015840+5 5.434530-3 9.391700+5 3.346820-3630027506 2932 9.808360+5 1.044920-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0630027506 2933 630027 0 2934 6300 0 0 2935 0 0 0 2936 6.400000+4 1.558990+2 -1 0 2 26400 1451 1 0.000000+0 0.000000+0 0 0 0 66400 1451 2 0.000000+0 0.000000+0 0 0 3 26400 1451 3 0.000000+0 0.000000+0 0 0 146 346400 1451 4 64-GD LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6400 1451 6 ----JEF-2 MATERIAL 6400 REVISION 0 6400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6400 1451 8 ------ENDF-6 FORMAT 6400 1451 9 ******************************************************************6400 1451 10 * JEF-2 *6400 1451 11 * DATA TAKEN FROM EPDL *6400 1451 12 ******************************************************************6400 1451 13 =================================================================6400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6400 1451 15 ENDF/B-VI FORMAT 6400 1451 16 =================================================================6400 1451 17 CONTENTS 6400 1451 18 =================================================================6400 1451 19 MF/MT DESCRIPTION 6400 1451 20 =================================================================6400 1451 21 23/501 TOTAL CROSS SECTION 6400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 50 =================================================================6400 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 6400 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 6400 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6400 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 6400 1451 55 =================================================================6400 1451 56 WARNING 6400 1451 57 =================================================================6400 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6400 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6400 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6400 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6400 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6400 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6400 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6400 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6400 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6400 1451 67 =================================================================6400 1451 68 DEFINITION OF NEW TYPES OF DATA 6400 1451 69 =================================================================6400 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6400 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6400 1451 72 6400 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6400 1451 74 C2 FIELDS ARE, 6400 1451 75 6400 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6400 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6400 1451 78 6400 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6400 1451 80 6400 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6400 1451 82 6400 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6400 1451 84 T = THE THOMSON CROSS SECTION 6400 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 6400 1451 86 FF(M) = THE ATOMIC FORM FACTOR 6400 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6400 1451 88 F1(E) = THE REAL SCATTERING FACTOR 6400 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 6400 1451 90 6400 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 6400 1451 92 6400 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6400 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6400 1451 95 =================================================================6400 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6400 1451 97 =================================================================6400 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6400 1451 99 HERE - 10 EV TO 100 MEV 6400 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6400 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 6400 1451 102 HERE - PHOTON INTERACTION 6400 1451 103 - AVERAGE FLUORESCENCE YIELD 6400 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6400 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6400 1451 106 HERE - NO SECONDARY ENERGY DATA 6400 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6400 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 6400 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 6400 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6400 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6400 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE6400 1451 113 (SINCE THEY CAN BE NEGATIVE). 6400 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6400 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 6400 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 6400 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 6400 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 6400 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6400 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE6400 1451 121 =================================================================6400 1451 122 REFERENCES 6400 1451 123 =================================================================6400 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6400 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6400 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6400 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6400 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6400 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6400 1451 130 6400 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6400 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6400 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6400 1451 134 OF THE DATA, ETC. 6400 1451 135 =================================================================6400 1451 136 HISTORY 6400 1451 137 =================================================================6400 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6400 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6400 1451 140 CROSS SECTIONS. 6400 1451 141 =================================================================6400 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6400 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6400 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6400 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6400 1451 146 *RECONSTRUCTED MT NUMBERS 6400 1451 147 516 =+(515,515)+(517,517) 6400 1451 148 522 =+(534,572) 6400 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6400 1451 150 1 451 184 16400 1451 151 23 501 552 16400 1451 152 23 502 133 16400 1451 153 23 504 30 16400 1451 154 23 515 30 16400 1451 155 23 516 59 16400 1451 156 23 517 41 16400 1451 157 23 522 384 26400 1451 158 23 534 33 26400 1451 159 23 535 40 26400 1451 160 23 536 46 26400 1451 161 23 537 47 26400 1451 162 23 538 46 26400 1451 163 23 539 49 26400 1451 164 23 540 51 26400 1451 165 23 541 62 26400 1451 166 23 542 64 26400 1451 167 23 543 50 26400 1451 168 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8.321620-1 1.764600+5 6.807260-1 1.885620+5 5.710080-1640023543 1896 1.998310+5 4.896120-1 2.102420+5 4.279680-1 2.297840+5 3.381740-1640023543 1897 2.456240+5 2.834240-1 2.582160+5 2.482610-1 2.783250+5 2.035250-1640023543 1898 3.000000+5 1.668500-1 3.223710+5 1.387400-1 3.402370+5 1.208120-1640023543 1899 3.689100+5 9.816770-2 4.000000+5 7.976800-2 4.207960+5 7.054090-2640023543 1900 4.598240+5 5.688690-2 4.914520+5 4.841060-2 5.165930+5 4.289310-2640023543 1901 5.567370+5 3.577310-2 6.000000+5 2.983500-2 6.447420+5 2.539140-2640023543 1902 6.804750+5 2.249870-2 7.378210+5 1.876570-2 8.000000+5 1.565200-2640023543 1903 8.458970+5 1.392700-2 9.197270+5 1.168940-2 1.000000+6 9.811300-3640023543 1904 1.022000+6 9.394390-3 1.130270+6 7.717670-3 1.250000+6 6.340220-3640023543 1905 1.369310+6 5.353400-3 1.500000+6 4.520180-3 1.611850+6 3.989340-3640023543 1906 1.795470+6 3.307650-3 2.000000+6 2.742450-3 2.044000+6 2.645160-3640023543 1907 2.249780+6 2.274240-3 2.417610+6 2.030600-3 2.693110+6 1.713190-3640023543 1908 3.000000+6 1.445400-3 3.464100+6 1.173460-3 4.000000+6 9.526820-4640023543 1909 4.472140+6 8.176450-4 5.000000+6 7.017480-4 5.477230+6 6.223630-4640023543 1910 6.000000+6 5.519580-4 7.000000+6 4.535590-4 8.000000+6 3.841070-4640023543 1911 9.000000+6 3.327160-4 1.000000+7 2.931740-4 1.100000+7 2.619150-4640023543 1912 1.200000+7 2.365810-4 1.300000+7 2.156300-4 1.400000+7 1.980500-4640023543 1913 1.500000+7 1.830710-4 1.600000+7 1.702110-4 1.800000+7 1.491640-4640023543 1914 2.000000+7 1.327400-4 2.200000+7 1.195430-4 2.400000+7 1.087060-4640023543 1915 2.600000+7 9.965110-5 2.800000+7 9.199300-5 3.000000+7 8.544280-5640023543 1916 3.464100+7 7.333920-5 4.000000+7 6.295020-5 4.472140+7 5.599120-5640023543 1917 5.000000+7 4.980150-5 6.000000+7 4.120900-5 6.928200+7 3.552360-5640023543 1918 8.000000+7 3.062260-5 8.944271+7 2.731580-5 1.000000+8 2.436610-5640023543 1919 640023 0 1920 6.400000+4 1.558990+2 0 0 0 0640023544 1921 3.113000+2 0.000000+0 0 0 1 151640023544 1922 151 2 0 0 0 0640023544 1923 3.113000+2 0.000000+0 3.113000+2 8.192770+4 4.000000+2 7.978950+4640023544 1924 5.000000+2 7.495140+4 6.000000+2 6.793400+4 7.000000+2 6.045690+4640023544 1925 7.937250+2 5.345380+4 9.000000+2 4.726190+4 1.056410+3 3.877620+4640023544 1926 1.240000+3 3.181400+4 1.341570+3 2.834780+4 1.509750+3 2.384360+4640023544 1927 1.699000+3 2.005500+4 1.843370+3 1.758030+4 2.000000+3 1.541100+4640023544 1928 2.213360+3 1.287570+4 2.388200+3 1.125190+4 2.676670+3 9.191920+3640023544 1929 3.000000+3 7.509100+3 3.223710+3 6.526971+3 3.590940+3 5.289290+3640023544 1930 4.000000+3 4.286300+3 4.426730+3 3.460460+3 4.776390+3 2.947280+3640023544 1931 5.056650+3 2.612990+3 5.508170+3 2.181280+3 6.000000+3 1.820900+3640023544 1932 6.528491+3 1.501600+3 6.955181+3 1.299440+3 7.648080+3 1.046070+3640023544 1933 8.410000+3 8.421000+2 9.170611+3 6.838940+2 1.000000+4 5.554100+2640023544 1934 1.051990+4 4.885140+2 1.149560+4 3.902460+2 1.228630+4 3.297500+2640023544 1935 1.291480+4 2.906160+2 1.391840+4 2.404480+2 1.500000+4 1.989400+2640023544 1936 1.611850+4 1.641170+2 1.701190+4 1.420620+2 1.844550+4 1.144110+2640023544 1937 2.000000+4 9.214100+1 2.103980+4 7.992880+1 2.199390+4 7.057840+1640023544 1938 2.376880+4 5.676980+1 2.519330+4 4.821720+1 2.631750+4 4.265940+1640023544 1939 2.809850+4 3.550050+1 3.000000+4 2.954300+1 3.203050+4 2.434750+1640023544 1940 3.391970+4 2.055670+1 3.566390+4 1.772720+1 3.726350+4 1.557280+1640023544 1941 4.023730+4 1.241330+1 4.262240+4 1.047200+1 4.450350+4 9.217940+0640023544 1942 4.748210+4 7.612760+0 5.066000+4 6.287100+0 5.285960+4 5.516840+0640023544 1943 5.724440+4 4.317820+0 6.137850+4 3.484520+0 6.524010+4 2.888420+0640023544 1944 6.881770+4 2.451120+0 7.210870+4 2.123140+0 7.511720+4 1.872370+0640023544 1945 8.068720+4 1.502680+0 8.513400+4 1.274150+0 8.862929+4 1.125870+0640023544 1946 9.414320+4 9.351630-1 1.000000+5 7.767600-1 1.044270+5 6.794380-1640023544 1947 1.087560+5 5.993040-1 1.173610+5 4.736460-1 1.254480+5 3.855090-1640023544 1948 1.329790+5 3.219530-1 1.399390+5 2.749990-1 1.463280+5 2.395670-1640023544 1949 1.582170+5 1.881890-1 1.677630+5 1.570260-1 1.752990+5 1.370890-1640023544 1950 1.872430+5 1.118280-1 2.000000+5 9.122200-2 2.103980+5 7.841020-2640023544 1951 2.199390+5 6.868480-2 2.376880+5 5.447740-2 2.519330+5 4.578600-2640023544 1952 2.631750+5 4.019020-2 2.809850+5 3.305220-2 3.000000+5 2.718200-2640023544 1953 3.223710+5 2.213780-2 3.402370+5 1.897910-2 3.689100+5 1.506550-2640023544 1954 4.000000+5 1.195900-2 4.229490+5 1.027380-2 4.598630+5 8.180700-3640023544 1955 5.000000+5 6.514000-3 5.477230+5 5.137710-3 6.000000+5 4.052200-3640023544 1956 6.447420+5 3.397810-3 6.804750+5 2.977350-3 7.378210+5 2.442180-3640023544 1957 8.000000+5 2.003200-3 8.458970+5 1.765160-3 9.197270+5 1.460060-3640023544 1958 1.000000+6 1.207700-3 1.022000+6 1.154280-3 1.130270+6 9.460590-4640023544 1959 1.250000+6 7.753990-4 1.369310+6 6.568360-4 1.500000+6 5.564020-4640023544 1960 1.611850+6 4.910600-4 1.795470+6 4.071490-4 2.000000+6 3.375760-4640023544 1961 2.044000+6 3.256000-4 2.249780+6 2.799420-4 2.417610+6 2.499520-4640023544 1962 2.693110+6 2.108810-4 3.000000+6 1.779180-4 3.464100+6 1.444440-4640023544 1963 4.000000+6 1.172680-4 4.472140+6 1.006460-4 5.000000+6 8.638010-5640023544 1964 5.477230+6 7.660840-5 6.000000+6 6.794210-5 7.000000+6 5.582990-5640023544 1965 8.000000+6 4.728080-5 9.000000+6 4.095500-5 1.000000+7 3.608760-5640023544 1966 1.100000+7 3.223990-5 1.200000+7 2.912140-5 1.300000+7 2.654250-5640023544 1967 1.400000+7 2.437850-5 1.500000+7 2.253470-5 1.600000+7 2.095180-5640023544 1968 1.800000+7 1.836100-5 2.000000+7 1.633930-5 2.200000+7 1.471490-5640023544 1969 2.400000+7 1.338090-5 2.600000+7 1.226630-5 2.800000+7 1.132370-5640023544 1970 3.000000+7 1.051740-5 3.464100+7 9.027530-6 4.000000+7 7.748720-6640023544 1971 4.472140+7 6.892110-6 5.000000+7 6.130200-6 6.000000+7 5.072530-6640023544 1972 6.928200+7 4.372700-6 8.000000+7 3.769420-6 8.944271+7 3.362380-6640023544 1973 1.000000+8 2.999290-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0640023544 1974 640023 0 1975 6.400000+4 1.558990+2 0 0 0 0640023545 1976 2.788600+2 0.000000+0 0 0 1 156640023545 1977 156 2 0 0 0 0640023545 1978 2.788600+2 0.000000+0 2.788600+2 2.975730+5 3.000000+2 2.970250+5640023545 1979 4.000000+2 2.564650+5 5.000000+2 2.180630+5 6.000000+2 1.836580+5640023545 1980 6.928200+2 1.556240+5 8.000000+2 1.318690+5 8.944270+2 1.134610+5640023545 1981 1.000000+3 9.762300+4 1.113550+3 8.315660+4 1.240000+3 7.083400+4640023545 1982 1.341570+3 6.223170+4 1.509750+3 5.124690+4 1.699000+3 4.220100+4640023545 1983 1.843370+3 3.651610+4 2.000000+3 3.159700+4 2.213360+3 2.601650+4640023545 1984 2.388200+3 2.248800+4 2.676670+3 1.807190+4 3.000000+3 1.452300+4640023545 1985 3.223710+3 1.250410+4 3.590940+3 9.989491+3 4.000000+3 7.980600+3640023545 1986 4.426730+3 6.360840+3 4.776390+3 5.365660+3 5.056650+3 4.722860+3640023545 1987 5.508170+3 3.900120+3 6.000000+3 3.220700+3 6.528491+3 2.628260+3640023545 1988 6.955181+3 2.256600+3 7.648080+3 1.795300+3 8.410000+3 1.428300+3640023545 1989 9.170611+3 1.147460+3 1.000000+4 9.218400+2 1.051990+4 8.055860+2640023545 1990 1.149560+4 6.362980+2 1.228630+4 5.331170+2 1.291480+4 4.668670+2640023545 1991 1.391840+4 3.826050+2 1.500000+4 3.135500+2 1.611850+4 2.562070+2640023545 1992 1.701190+4 2.201940+2 1.844550+4 1.754390+2 2.000000+4 1.397800+2640023545 1993 2.103980+4 1.203920+2 2.199390+4 1.056470+2 2.376880+4 8.405430+1640023545 1994 2.519330+4 7.080880+1 2.631750+4 6.226340+1 2.809850+4 5.133940+1640023545 1995 3.000000+4 4.233200+1 3.197810+4 3.471820+1 3.381560+4 2.918840+1640023545 1996 3.550980+4 2.507730+1 3.706180+4 2.195800+1 3.994270+4 1.740360+1640023545 1997 4.224940+4 1.461920+1 4.406640+4 1.282740+1 4.693950+4 1.054290+1640023545 1998 5.000000+4 8.665200+0 5.221370+4 7.527450+0 5.437800+4 6.596860+0640023545 1999 5.648840+4 5.829200+0 6.066860+4 4.622410+0 6.457930+4 3.773300+0640023545 2000 6.820750+4 3.159300+0 7.154890+4 2.704600+0 7.460660+4 2.360750+0640023545 2001 8.027550+4 1.860840+0 8.480810+4 1.556690+0 8.837470+4 1.361680+0640023545 2002 9.400779+4 1.113990+0 1.000000+5 9.113500-1 1.044270+5 7.905660-1640023545 2003 1.087560+5 6.919120-1 1.129770+5 6.106340-1 1.213370+5 4.830870-1640023545 2004 1.291590+5 3.935400-1 1.364150+5 3.289140-1 1.430980+5 2.811340-1640023545 2005 1.492130+5 2.450570-1 1.605510+5 1.927010-1 1.696160+5 1.609150-1640023545 2006 1.767490+5 1.405660-1 1.880160+5 1.147650-1 2.000000+5 9.369900-2640023545 2007 2.103980+5 7.985660-2 2.199390+5 6.943280-2 2.376880+5 5.435740-2640023545 2008 2.519330+5 4.524070-2 2.631750+5 3.942140-2 2.809850+5 3.206540-2640023545 2009 3.000000+5 2.608200-2 3.223710+5 2.104340-2 3.402370+5 1.791420-2640023545 2010 3.689100+5 1.407080-2 4.000000+5 1.105200-2 4.229490+5 9.446630-3640023545 2011 4.598630+5 7.465030-3 5.000000+5 5.899100-3 5.233180+5 5.225040-3640023545 2012 5.603490+5 4.355580-3 6.000000+5 3.630800-3 6.447420+5 3.038390-3640023545 2013 6.804750+5 2.658420-3 7.378210+5 2.175680-3 8.000000+5 1.780600-3640023545 2014 8.458970+5 1.569230-3 9.197270+5 1.298270-3 1.000000+6 1.074100-3640023545 2015 1.022000+6 1.026670-3 1.130270+6 8.415530-4 1.250000+6 6.898140-4640023545 2016 1.369310+6 5.842560-4 1.500000+6 4.948510-4 1.611850+6 4.367370-4640023545 2017 1.795470+6 3.621080-4 2.000000+6 3.002320-4 2.044000+6 2.895810-4640023545 2018 2.249780+6 2.489740-4 2.417610+6 2.223010-4 2.693110+6 1.875530-4640023545 2019 3.000000+6 1.582360-4 3.464100+6 1.284650-4 4.000000+6 1.042960-4640023545 2020 4.472140+6 8.951240-5 5.000000+6 7.682440-5 5.477230+6 6.813370-5640023545 2021 6.000000+6 6.042610-5 7.000000+6 4.965380-5 8.000000+6 4.205040-5640023545 2022 9.000000+6 3.642440-5 1.000000+7 3.209540-5 1.100000+7 2.867340-5640023545 2023 1.200000+7 2.589990-5 1.300000+7 2.360620-5 1.400000+7 2.168170-5640023545 2024 1.500000+7 2.004180-5 1.600000+7 1.863400-5 1.800000+7 1.632980-5640023545 2025 2.000000+7 1.453180-5 2.200000+7 1.308700-5 2.400000+7 1.190070-5640023545 2026 2.600000+7 1.090940-5 2.800000+7 1.007100-5 3.000000+7 9.353910-6640023545 2027 3.464100+7 8.028870-6 4.000000+7 6.891530-6 4.472140+7 6.129680-6640023545 2028 5.000000+7 5.452060-6 6.000000+7 4.511390-6 6.928200+7 3.888970-6640023545 2029 8.000000+7 3.352430-6 8.944271+7 2.990420-6 1.000000+8 2.667500-6640023545 2030 640023 0 2031 6.400000+4 1.558990+2 0 0 0 0640023546 2032 1.621600+2 0.000000+0 0 0 1 189640023546 2033 189 2 0 0 0 0640023546 2034 1.621600+2 0.000000+0 1.621600+2 3.560510+5 1.848730+2 2.876670+5640023546 2035 1.960130+2 2.496570+5 2.078240+2 2.166700+5 2.141310+2 2.063310+5640023546 2036 2.341100+2 1.898090+5 2.517290+2 1.851630+5 2.677600+2 1.908430+5640023546 2037 3.106800+2 2.537000+5 3.476880+2 2.905390+5 3.890200+2 3.102960+5640023546 2038 4.472140+2 3.121000+5 5.000000+2 2.988560+5 6.000000+2 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7.533060+3-1.767710+1 7.640380+3-1.691160+1 7.748650+3-1.672430+1640027506 3027 7.830971+3-1.733910+1 7.867980+3-1.780500+1 7.914280+3-1.827270+1640027506 3028 7.943471+3-1.829270+1 7.972661+3-1.804640+1 8.022600+3-1.710030+1640027506 3029 8.086010+3-1.583420+1 8.144560+3-1.507920+1 8.245941+3-1.462870+1640027506 3030 8.315430+3-1.458000+1 8.347810+3-1.437060+1 8.380201+3-1.399970+1640027506 3031 8.440760+3-1.294570+1 8.497850+3-1.191770+1 8.557170+3-1.108140+1640027506 3032 8.660090+3-9.990660+0 8.848380+3-8.527000+0 9.100250+3-7.135320+0640027506 3033 9.413241+3-5.735800+0 9.653031+3-4.895840+0 9.900970+3-4.162320+0640027506 3034 1.021590+4-3.442440+0 1.056510+4-2.746160+0 1.105310+4-1.981240+0640027506 3035 1.121580+4-1.788650+0 1.154330+4-1.403650+0 1.188440+4-1.092570+0640027506 3036 1.201350+4-9.844220-1 1.233360+4-7.942600-1 1.244300+4-7.431930-1640027506 3037 1.259670+4-6.703630-1 1.288420+4-5.183790-1 1.319260+4-3.805070-1640027506 3038 1.350510+4-2.489800-1 1.363530+4-2.013230-1 1.367200+4-1.896240-1640027506 3039 1.376470+4-1.677350-1 1.382600+4-1.545730-1 1.416470+4-6.470020-2640027506 3040 1.427000+4-3.552720-2 1.457640+4 4.027260-2 1.467090+4 6.420470-2640027506 3041 1.481220+4 8.705100-2 1.515970+4 1.353680-1 1.537810+4 1.593440-1640027506 3042 1.554920+4 1.697660-1 1.606950+4 2.067810-1 1.665200+4 2.272620-1640027506 3043 1.679660+4 2.334980-1 1.692460+4 2.349650-1 1.771420+4 2.153630-1640027506 3044 1.827180+4 2.034380-1 1.857870+4 1.950110-1 1.907490+4 1.666510-1640027506 3045 2.051330+4 1.105570-1 2.071770+4 1.004170-1 2.110850+4 7.202390-2640027506 3046 2.143590+4 4.996100-2 2.168350+4 3.067130-2 2.213360+4-2.164190-3640027506 3047 2.254590+4-3.082740-2 2.276150+4-4.683630-2 2.308490+4-7.199250-2640027506 3048 2.324660+4-8.585140-2 2.336780+4-9.756320-2 2.344590+4-1.067690-1640027506 3049 2.366370+4-1.275230-1 2.532880+4-2.664360-1 2.581980+4-3.146280-1640027506 3050 2.631750+4-3.635750-1 2.765960+4-4.780270-1 2.809850+4-5.160380-1640027506 3051 2.934910+4-6.403790-1 3.203050+4-8.913860-1 3.340450+4-1.022370+0640027506 3052 3.633970+4-1.321590+0 3.747760+4-1.451600+0 3.994270+4-1.757160+0640027506 3053 4.200870+4-2.063990+0 4.355280+4-2.347660+0 4.596870+4-2.959450+0640027506 3054 4.713280+4-3.401810+0 4.837760+4-4.133950+0 4.885650+4-4.590690+0640027506 3055 4.919550+4-5.063260+0 4.934190+4-5.335470+0 4.946910+4-5.615470+0640027506 3056 4.956860+4-5.861860+0 4.961370+4-5.981490+0 4.967640+4-6.151030+0640027506 3057 4.973390+4-6.311450+0 4.980280+4-6.503290+0 4.989080+4-6.737710+0640027506 3058 4.998740+4-6.968380+0 5.009590+4-7.170650+0 5.030350+4-7.301590+0640027506 3059 5.051100+4-7.091250+0 5.070320+4-6.636220+0 5.088750+4-6.089300+0640027506 3060 5.112060+4-5.430580+0 5.134290+4-4.888670+0 5.167010+4-4.313330+0640027506 3061 5.228370+4-3.610630+0 5.285960+4-3.139910+0 5.376020+4-2.574390+0640027506 3062 5.516950+4-1.941160+0 5.657890+4-1.496620+0 5.760330+4-1.251750+0640027506 3063 5.863540+4-1.050860+0 6.111100+4-6.516310-1 6.218080+4-5.068620-1640027506 3064 6.337370+4-3.856520-1 6.611570+4-1.419670-1 6.772190+4-2.337060-2640027506 3065 6.795430+4-5.942140-3 6.817870+4 1.098380-2 7.288510+4 2.385530-1640027506 3066 7.359760+4 2.657990-1 7.494660+4 2.993160-1 7.785240+4 3.936650-1640027506 3067 7.936829+4 4.345550-1 8.000000+4 4.434440-1 8.105110+4 4.592850-1640027506 3068 8.472440+4 5.331940-1 8.626560+4 5.517140-1 8.692460+4 5.506050-1640027506 3069 9.127740+4 5.901460-1 9.269890+4 5.952060-1 9.443660+4 5.974170-1640027506 3070 1.001560+5 6.273920-1 1.099690+5 6.150710-1 1.189740+5 5.978350-1640027506 3071 1.283370+5 5.735890-1 1.463280+5 5.114820-1 1.593560+5 4.711110-1640027506 3072 1.721120+5 4.335050-1 1.865360+5 3.943170-1 2.032230+5 3.544620-1640027506 3073 2.171360+5 3.233820-1 2.334270+5 2.908310-1 2.491930+5 2.636830-1640027506 3074 2.680820+5 2.348870-1 2.915270+5 2.043910-1 3.109840+5 1.814370-1640027506 3075 3.311840+5 1.611890-1 3.597000+5 1.383540-1 3.912340+5 1.175940-1640027506 3076 4.229490+5 9.985640-2 4.550780+5 8.446250-2 4.908500+5 7.020490-2640027506 3077 5.504060+5 5.300510-2 5.832950+5 4.509170-2 6.461930+5 3.220040-2640027506 3078 6.639380+5 2.898380-2 7.378210+5 1.960260-2 7.790610+5 1.531480-2640027506 3079 8.226280+5 1.166930-2 8.637790+5 8.418370-3 9.015850+5 5.692190-3640027506 3080 9.391700+5 3.505000-3 9.810870+5 1.074810-3 1.000000+6 0.000000+0640027506 3081 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0640027506 3082 640027 0 3083 6400 0 0 3084 0 0 0 3085 6.500000+4 1.575600+2 -1 0 2 26500 1451 1 0.000000+0 0.000000+0 0 0 0 66500 1451 2 0.000000+0 0.000000+0 0 0 3 26500 1451 3 0.000000+0 0.000000+0 0 0 144 326500 1451 4 65-TB LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6500 1451 6 ----JEF-2 MATERIAL 6500 REVISION 0 6500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6500 1451 8 ------ENDF-6 FORMAT 6500 1451 9 ******************************************************************6500 1451 10 * JEF-2 *6500 1451 11 * DATA TAKEN FROM EPDL *6500 1451 12 ******************************************************************6500 1451 13 =================================================================6500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6500 1451 15 ENDF/B-VI FORMAT 6500 1451 16 =================================================================6500 1451 17 CONTENTS 6500 1451 18 =================================================================6500 1451 19 MF/MT DESCRIPTION 6500 1451 20 =================================================================6500 1451 21 23/501 TOTAL CROSS SECTION 6500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 48 =================================================================6500 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6500 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6500 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6500 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6500 1451 53 =================================================================6500 1451 54 WARNING 6500 1451 55 =================================================================6500 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6500 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6500 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6500 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6500 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6500 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6500 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6500 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6500 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6500 1451 65 =================================================================6500 1451 66 DEFINITION OF NEW TYPES OF DATA 6500 1451 67 =================================================================6500 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6500 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6500 1451 70 6500 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6500 1451 72 C2 FIELDS ARE, 6500 1451 73 6500 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6500 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6500 1451 76 6500 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6500 1451 78 6500 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6500 1451 80 6500 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6500 1451 82 T = THE THOMSON CROSS SECTION 6500 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6500 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6500 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6500 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6500 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6500 1451 88 6500 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6500 1451 90 6500 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6500 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6500 1451 93 =================================================================6500 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6500 1451 95 =================================================================6500 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6500 1451 97 HERE - 10 EV TO 100 MEV 6500 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6500 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6500 1451 100 HERE - PHOTON INTERACTION 6500 1451 101 - AVERAGE FLUORESCENCE YIELD 6500 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6500 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6500 1451 104 HERE - NO SECONDARY ENERGY DATA 6500 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6500 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6500 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6500 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6500 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6500 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6500 1451 111 (SINCE THEY CAN BE NEGATIVE). 6500 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6500 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6500 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6500 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6500 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6500 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6500 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6500 1451 119 =================================================================6500 1451 120 REFERENCES 6500 1451 121 =================================================================6500 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6500 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6500 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6500 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6500 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6500 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6500 1451 128 6500 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6500 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6500 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6500 1451 132 OF THE DATA, ETC. 6500 1451 133 =================================================================6500 1451 134 HISTORY 6500 1451 135 =================================================================6500 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6500 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6500 1451 138 CROSS SECTIONS. 6500 1451 139 =================================================================6500 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6500 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6500 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6500 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6500 1451 144 *RECONSTRUCTED MT NUMBERS 6500 1451 145 516 =+(515,515)+(517,517) 6500 1451 146 522 =+(534,572) 6500 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6500 1451 148 1 451 180 16500 1451 149 23 501 564 16500 1451 150 23 502 141 16500 1451 151 23 504 30 16500 1451 152 23 515 30 16500 1451 153 23 516 59 16500 1451 154 23 517 42 16500 1451 155 23 522 389 26500 1451 156 23 534 34 26500 1451 157 23 535 40 26500 1451 158 23 536 44 26500 1451 159 23 537 47 26500 1451 160 23 538 46 26500 1451 161 23 539 50 26500 1451 162 23 540 51 26500 1451 163 23 541 62 26500 1451 164 23 542 64 26500 1451 165 23 543 51 26500 1451 166 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7.982391+3 1.036970+3 8.735000+3 8.709300+2650023543 1905 9.345800+3 7.578090+2 9.915180+3 6.709480+2 1.099630+4 5.422070+2650023543 1906 1.188390+4 4.621390+2 1.259630+4 4.099470+2 1.374570+4 3.425000+2650023543 1907 1.500000+4 2.861500+2 1.611850+4 2.450220+2 1.795470+4 1.941440+2650023543 1908 2.000000+4 1.538300+2 2.213360+4 1.225290+2 2.388200+4 1.033090+2650023543 1909 2.528320+4 9.089920+1 2.754080+4 7.502320+1 3.000000+4 6.192000+1650023543 1910 3.213680+4 5.260130+1 3.413100+4 4.560540+1 3.597710+4 4.025160+1650023543 1911 3.945140+4 3.235010+1 4.227550+4 2.745970+1 4.452560+4 2.428340+1650023543 1912 4.812710+4 2.019450+1 5.202000+4 1.679400+1 5.489530+4 1.468320+1650023543 1913 6.031480+4 1.160740+1 6.472770+4 9.731310+0 6.824810+4 8.526070+0650023543 1914 7.389080+4 6.992210+0 8.000000+4 5.734300+0 8.653970+4 4.673660+0650023543 1915 9.269890+4 3.907850+0 9.844679+4 3.341430+0 1.037680+5 2.913590+0650023543 1916 1.137810+5 2.292430+0 1.219200+5 1.915120+0 1.284040+5 1.673480+0650023543 1917 1.387830+5 1.366970+0 1.500000+5 1.116600+0 1.635760+5 8.882130-1650023543 1918 1.764600+5 7.270410-1 1.885620+5 6.101980-1 1.998310+5 5.234720-1650023543 1919 2.102420+5 4.577610-1 2.297840+5 3.619860-1 2.456240+5 3.035510-1650023543 1920 2.582160+5 2.660040-1 2.783250+5 2.182080-1 3.000000+5 1.790000-1650023543 1921 3.223710+5 1.489180-1 3.402370+5 1.297230-1 3.689100+5 1.054690-1650023543 1922 4.000000+5 8.574900-2 4.207960+5 7.585040-2 4.598240+5 6.119740-2650023543 1923 4.914520+5 5.209720-2 5.165930+5 4.617170-2 5.567370+5 3.852280-2650023543 1924 6.000000+5 3.214100-2 6.447420+5 2.736010-2 6.804750+5 2.424730-2650023543 1925 7.378210+5 2.022920-2 8.000000+5 1.687700-2 8.458970+5 1.501840-2650023543 1926 9.197270+5 1.260710-2 1.000000+6 1.058300-2 1.022000+6 1.013320-2650023543 1927 1.130270+6 8.323890-3 1.250000+6 6.837630-3 1.369310+6 5.772970-3650023543 1928 1.500000+6 4.874080-3 1.611850+6 4.301590-3 1.795470+6 3.566430-3650023543 1929 2.000000+6 2.956910-3 2.044000+6 2.851780-3 2.249780+6 2.451640-3650023543 1930 2.417610+6 2.188820-3 2.693110+6 1.846470-3 3.000000+6 1.557670-3650023543 1931 3.464100+6 1.264290-3 4.000000+6 1.026170-3 4.472140+6 8.806830-4650023543 1932 5.000000+6 7.558220-4 5.477230+6 6.703160-4 6.000000+6 5.944830-4650023543 1933 7.000000+6 4.883770-4 8.000000+6 4.134250-4 9.000000+6 3.579980-4650023543 1934 1.000000+7 3.154590-4 1.100000+7 2.817860-4 1.200000+7 2.545090-4650023543 1935 1.300000+7 2.319310-4 1.400000+7 2.130350-4 1.500000+7 1.969500-4650023543 1936 1.600000+7 1.830450-4 1.800000+7 1.604180-4 2.000000+7 1.427340-4650023543 1937 2.200000+7 1.285380-4 2.400000+7 1.168620-4 2.600000+7 1.071720-4650023543 1938 2.800000+7 9.893520-5 3.000000+7 9.186150-5 3.464100+7 7.885190-5650023543 1939 4.000000+7 6.768480-5 4.472140+7 6.019690-5 5.000000+7 5.353740-5650023543 1940 6.000000+7 4.429800-5 6.928200+7 3.818580-5 8.000000+7 3.291700-5650023543 1941 8.944271+7 2.936000-5 1.000000+8 2.618730-5 0.000000+0 0.000000+0650023543 1942 650023 0 1943 6.500000+4 1.575600+2 0 0 0 0650023544 1944 3.160000+2 0.000000+0 0 0 1 150650023544 1945 150 2 0 0 0 0650023544 1946 3.160000+2 0.000000+0 3.160000+2 7.954360+4 5.000000+2 7.229080+4650023544 1947 6.000000+2 6.639320+4 7.000000+2 5.963590+4 7.937250+2 5.307780+4650023544 1948 9.000000+2 4.724090+4 1.057690+3 3.894930+4 1.243000+3 3.211300+4650023544 1949 1.354370+3 2.837030+4 1.540410+3 2.355800+4 1.752000+3 1.956200+4650023544 1950 2.000000+3 1.583300+4 2.213360+3 1.325930+4 2.388200+3 1.160760+4650023544 1951 2.676670+3 9.507571+3 3.000000+3 7.787500+3 3.223710+3 6.778520+3650023544 1952 3.590940+3 5.504790+3 4.000000+3 4.470400+3 4.426730+3 3.615810+3650023544 1953 4.776390+3 3.083900+3 5.056650+3 2.736970+3 5.508170+3 2.288370+3650023544 1954 6.000000+3 1.913300+3 6.590660+3 1.545440+3 7.071520+3 1.316750+3650023544 1955 7.455040+3 1.167730+3 8.069681+3 9.752160+2 8.735000+3 8.144400+2650023544 1956 9.346121+3 6.928190+2 1.000000+4 5.893600+2 1.051990+4 5.188770+2650023544 1957 1.149560+4 4.152030+2 1.228630+4 3.512830+2 1.291480+4 3.098890+2650023544 1958 1.391840+4 2.567600+2 1.500000+4 2.127400+2 1.611850+4 1.757330+2650023544 1959 1.701190+4 1.522670+2 1.844550+4 1.228100+2 2.000000+4 9.905200+1650023544 1960 2.103980+4 8.600240+1 2.199390+4 7.600230+1 2.376880+4 6.121820+1650023544 1961 2.519330+4 5.205000+1 2.631750+4 4.608670+1 2.809850+4 3.839800+1650023544 1962 3.000000+4 3.199200+1 3.197810+4 2.652640+1 3.381560+4 2.251580+1650023544 1963 3.550980+4 1.950710+1 3.706180+4 1.720630+1 3.994270+4 1.381340+1650023544 1964 4.224940+4 1.171550+1 4.406640+4 1.035400+1 4.693950+4 8.602490+0650023544 1965 5.000000+4 7.147300+0 5.221370+4 6.260150+0 5.437800+4 5.528720+0650023544 1966 5.868070+4 4.379750+0 6.272390+4 3.572080+0 6.648960+4 2.988540+0650023544 1967 6.996970+4 2.556700+0 7.316380+4 2.230350+0 7.910829+4 1.756250+0650023544 1968 8.388160+4 1.468060+0 8.764960+4 1.283410+0 9.362140+4 1.049050+0650023544 1969 1.000000+5 8.574800-1 1.044270+5 7.504480-1 1.087560+5 6.622710-1650023544 1970 1.173610+5 5.239040-1 1.254480+5 4.267670-1 1.329790+5 3.566670-1650023544 1971 1.399390+5 3.048430-1 1.463280+5 2.657120-1 1.582170+5 2.089300-1650023544 1972 1.677630+5 1.744580-1 1.752990+5 1.523910-1 1.872430+5 1.244120-1650023544 1973 2.000000+5 1.015700-1 2.103980+5 8.734820-2 2.199390+5 7.654760-2650023544 1974 2.376880+5 6.075990-2 2.519330+5 5.109530-2 2.631750+5 4.486980-2650023544 1975 2.809850+5 3.692440-2 3.000000+5 3.038600-2 3.223710+5 2.476180-2650023544 1976 3.402370+5 2.123790-2 3.689100+5 1.686970-2 4.000000+5 1.340000-2650023544 1977 4.229490+5 1.151640-2 4.598630+5 9.175530-3 5.000000+5 7.310500-3650023544 1978 5.477230+5 5.769230-3 6.000000+5 4.552900-3 6.447420+5 3.818960-3650023544 1979 6.804750+5 3.347250-3 7.378210+5 2.746640-3 8.000000+5 2.253800-3650023544 1980 8.458970+5 1.986460-3 9.197270+5 1.643710-3 1.000000+6 1.360100-3650023544 1981 1.022000+6 1.299970-3 1.130270+6 1.065410-3 1.250000+6 8.731730-4650023544 1982 1.369310+6 7.395670-4 1.500000+6 6.264050-4 1.611850+6 5.528300-4650023544 1983 1.795470+6 4.583490-4 2.000000+6 3.800150-4 2.044000+6 3.665030-4650023544 1984 2.249780+6 3.150780-4 2.417610+6 2.813020-4 2.693110+6 2.373040-4650023544 1985 3.000000+6 2.001880-4 3.464100+6 1.624840-4 4.000000+6 1.318810-4650023544 1986 4.472140+6 1.131830-4 5.000000+6 9.713630-5 5.477230+6 8.614730-5650023544 1987 6.000000+6 7.640150-5 7.000000+6 6.276500-5 8.000000+6 5.313230-5650023544 1988 9.000000+6 4.600900-5 1.000000+7 4.054200-5 1.100000+7 3.621440-5650023544 1989 1.200000+7 3.270880-5 1.300000+7 2.980720-5 1.400000+7 2.737870-5650023544 1990 1.500000+7 2.531150-5 1.600000+7 2.352440-5 1.800000+7 2.061660-5650023544 1991 2.000000+7 1.834380-5 2.200000+7 1.651940-5 2.400000+7 1.501880-5650023544 1992 2.600000+7 1.377340-5 2.800000+7 1.271490-5 3.000000+7 1.180580-5650023544 1993 3.464100+7 1.013380-5 4.000000+7 8.698680-6 4.472140+7 7.736350-6650023544 1994 5.000000+7 6.880490-6 6.000000+7 5.693060-6 6.928200+7 4.907540-6650023544 1995 8.000000+7 4.230410-6 8.944271+7 3.773270-6 1.000000+8 3.365520-6650023544 1996 650023 0 1997 6.500000+4 1.575600+2 0 0 0 0650023545 1998 2.810400+2 0.000000+0 0 0 1 156650023545 1999 156 2 0 0 0 0650023545 2000 2.810400+2 0.000000+0 2.810400+2 3.012740+5 3.352850+2 2.759220+5650023545 2001 4.000000+2 2.527030+5 5.000000+2 2.169790+5 6.000000+2 1.840530+5650023545 2002 6.928200+2 1.566840+5 8.000000+2 1.333840+5 8.944270+2 1.151330+5650023545 2003 1.000000+3 9.937900+4 1.134900+3 8.243560+4 1.288000+3 6.838100+4650023545 2004 1.393750+3 6.004910+4 1.568870+3 4.941560+4 1.766000+3 4.066500+4650023545 2005 1.965700+3 3.338140+4 2.130160+3 2.878840+4 2.403010+3 2.305620+4650023545 2006 2.710810+3 1.846530+4 2.987720+3 1.513430+4 3.213800+3 1.303670+4650023545 2007 3.585420+3 1.042260+4 4.000000+3 8.332701+3 4.426730+3 6.650640+3650023545 2008 4.776390+3 5.615930+3 5.056650+3 4.946980+3 5.508170+3 4.089950+3650023545 2009 6.000000+3 3.381400+3 6.590660+3 2.698440+3 7.071520+3 2.278380+3650023545 2010 7.455040+3 2.006830+3 8.069681+3 1.658970+3 8.735000+3 1.371400+3650023545 2011 9.346121+3 1.156500+3 1.000000+4 9.752700+2 1.051990+4 8.529330+2650023545 2012 1.149560+4 6.746030+2 1.228630+4 5.657810+2 1.291480+4 4.958470+2650023545 2013 1.391840+4 4.068160+2 1.500000+4 3.337700+2 1.611850+4 2.730160+2650023545 2014 1.701190+4 2.348240+2 1.844550+4 1.873160+2 2.000000+4 1.494200+2650023545 2015 2.103980+4 1.287900+2 2.199390+4 1.130880+2 2.376880+4 9.007610+1650023545 2016 2.519330+4 7.594570+1 2.631750+4 6.682250+1 2.809850+4 5.515100+1650023545 2017 3.000000+4 4.551800+1 3.197810+4 3.736360+1 3.381560+4 3.143630+1650023545 2018 3.550980+4 2.702660+1 3.706180+4 2.367860+1 3.994270+4 1.878640+1650023545 2019 4.224940+4 1.579290+1 4.406640+4 1.386510+1 4.693950+4 1.140550+1650023545 2020 5.000000+4 9.382300+0 5.221370+4 8.154570+0 5.437800+4 7.149900+0650023545 2021 5.868070+4 5.587720+0 6.272390+4 4.503530+0 6.648960+4 3.728900+0650023545 2022 6.996970+4 3.161230+0 7.316380+4 2.735880+0 7.607800+4 2.410910+0650023545 2023 8.146000+4 1.932330+0 8.574490+4 1.636840+0 8.910579+4 1.445270+0650023545 2024 9.439590+4 1.199120+0 1.000000+5 9.949000-1 1.044270+5 8.633850-1650023545 2025 1.087560+5 7.559250-1 1.129770+5 6.673600-1 1.213370+5 5.283090-1650023545 2026 1.291590+5 4.306260-1 1.364150+5 3.600900-1 1.430980+5 3.079160-1650023545 2027 1.492130+5 2.685040-1 1.605510+5 2.112810-1 1.696160+5 1.765190-1650023545 2028 1.767490+5 1.542550-1 1.880160+5 1.260120-1 2.000000+5 1.029400-1650023545 2029 2.103980+5 8.776130-2 2.199390+5 7.632770-2 2.376880+5 5.978550-2650023545 2030 2.519330+5 4.977720-2 2.631750+5 4.338670-2 2.809850+5 3.530580-2650023545 2031 3.000000+5 2.873000-2 3.223710+5 2.318740-2 3.402370+5 1.974420-2650023545 2032 3.689100+5 1.551390-2 4.000000+5 1.219000-2 4.229490+5 1.042120-2650023545 2033 4.598630+5 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2.057340+4 1.355150-1 2.067980+4 1.313930-1 2.121340+4 1.049030-1650027506 2919 2.162430+4 7.373510-2 2.187080+4 5.949260-2 2.242480+4 2.074570-2650027506 2920 2.284800+4-9.082830-3 2.286410+4-1.040060-2 2.299120+4-2.026730-2650027506 2921 2.315400+4-3.371520-2 2.342860+4-6.107080-2 2.376880+4-8.897530-2650027506 2922 2.502710+4-1.817710-1 2.574930+4-2.399030-1 2.631750+4-2.948250-1650027506 2923 2.754080+4-3.945520-1 2.809850+4-4.415790-1 2.988680+4-5.943730-1650027506 2924 3.213680+4-8.047210-1 3.444920+4-1.013170+0 3.774160+4-1.342440+0650027506 2925 4.124490+4-1.741390+0 4.341150+4-2.052110+0 4.497520+4-2.322720+0650027506 2926 4.753750+4-2.942650+0 4.872700+4-3.368070+0 5.006730+4-4.125840+0650027506 2927 5.056300+4-4.581600+0 5.091380+4-5.053560+0 5.106980+4-5.334270+0650027506 2928 5.119700+4-5.604570+0 5.129990+4-5.850390+0 5.134670+4-5.969750+0650027506 2929 5.141150+4-6.138900+0 5.147100+4-6.298960+0 5.154230+4-6.490380+0650027506 2930 5.163350+4-6.724330+0 5.173340+4-6.954630+0 5.184570+4-7.156980+0650027506 2931 5.205570+4-7.288050+0 5.226580+4-7.087600+0 5.250170+4-6.560730+0650027506 2932 5.265280+4-6.106420+0 5.294350+4-5.339590+0 5.322060+4-4.729460+0650027506 2933 5.374010+4-3.972930+0 5.422610+4-3.496320+0 5.499030+4-2.928660+0650027506 2934 5.618370+4-2.300150+0 5.737700+4-1.865030+0 5.874090+4-1.487010+0650027506 2935 6.073100+4-1.035050+0 6.173720+4-8.536850-1 6.288050+4-7.001050-1650027506 2936 6.544550+4-4.004500-1 6.679660+4-2.641210-1 6.824810+4-1.600500-1650027506 2937 7.011970+4-4.058200-2 7.148830+4 4.818240-2 7.316380+4 1.450050-1650027506 2938 7.399020+4 1.838120-1 7.607800+4 2.464770-1 7.798840+4 3.125860-1650027506 2939 7.928710+4 3.488550-1 8.054100+4 3.683930-1 8.407579+4 4.537370-1650027506 2940 8.530720+4 4.763760-1 8.704300+4 4.906980-1 9.230300+4 5.694730-1650027506 2941 9.389829+4 5.802540-1 9.536870+4 5.829360-1 9.932550+4 6.093390-1650027506 2942 1.090510+5 6.136830-1 1.174710+5 6.067180-1 1.263080+5 5.849040-1650027506 2943 1.357630+5 5.621070-1 1.455870+5 5.252720-1 1.573390+5 4.902400-1650027506 2944 1.714900+5 4.488710-1 1.824110+5 4.154260-1 1.954080+5 3.812100-1650027506 2945 2.102420+5 3.451300-1 2.221880+5 3.188250-1 2.417300+5 2.831470-1650027506 2946 2.645050+5 2.477230-1 2.804270+5 2.249410-1 3.054430+5 1.952670-1650027506 2947 3.303130+5 1.694590-1 3.542840+5 1.479430-1 3.841410+5 1.259600-1650027506 2948 4.248650+5 1.029990-1 4.484010+5 9.124920-2 5.028810+5 6.858720-2650027506 2949 5.621000+5 5.075100-2 6.072610+5 4.127590-2 6.814340+5 2.800730-2650027506 2950 7.296220+5 2.147600-2 7.390120+5 2.002210-2 8.056410+5 1.320000-2650027506 2951 8.696620+5 7.689370-3 9.197270+5 4.601470-3 9.771340+5 1.138170-3650027506 2952 9.810450+5 9.397670-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0650027506 2953 650027 0 2954 6500 0 0 2955 0 0 0 2956 6.600000+4 1.611040+2 -1 0 2 26600 1451 1 0.000000+0 0.000000+0 0 0 0 66600 1451 2 0.000000+0 0.000000+0 0 0 3 26600 1451 3 0.000000+0 0.000000+0 0 0 144 326600 1451 4 66-DY LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6600 1451 6 ----JEF-2 MATERIAL 6600 REVISION 0 6600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6600 1451 8 ------ENDF-6 FORMAT 6600 1451 9 ******************************************************************6600 1451 10 * JEF-2 *6600 1451 11 * DATA TAKEN FROM EPDL *6600 1451 12 ******************************************************************6600 1451 13 =================================================================6600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6600 1451 15 ENDF/B-VI FORMAT 6600 1451 16 =================================================================6600 1451 17 CONTENTS 6600 1451 18 =================================================================6600 1451 19 MF/MT DESCRIPTION 6600 1451 20 =================================================================6600 1451 21 23/501 TOTAL CROSS SECTION 6600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 48 =================================================================6600 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6600 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6600 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6600 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6600 1451 53 =================================================================6600 1451 54 WARNING 6600 1451 55 =================================================================6600 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6600 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6600 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6600 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6600 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6600 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6600 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6600 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6600 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6600 1451 65 =================================================================6600 1451 66 DEFINITION OF NEW TYPES OF DATA 6600 1451 67 =================================================================6600 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6600 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6600 1451 70 6600 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6600 1451 72 C2 FIELDS ARE, 6600 1451 73 6600 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6600 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6600 1451 76 6600 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6600 1451 78 6600 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6600 1451 80 6600 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6600 1451 82 T = THE THOMSON CROSS SECTION 6600 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6600 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6600 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6600 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6600 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6600 1451 88 6600 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6600 1451 90 6600 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6600 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6600 1451 93 =================================================================6600 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6600 1451 95 =================================================================6600 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6600 1451 97 HERE - 10 EV TO 100 MEV 6600 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6600 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6600 1451 100 HERE - PHOTON INTERACTION 6600 1451 101 - AVERAGE FLUORESCENCE YIELD 6600 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6600 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6600 1451 104 HERE - NO SECONDARY ENERGY DATA 6600 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6600 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6600 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6600 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6600 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6600 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6600 1451 111 (SINCE THEY CAN BE NEGATIVE). 6600 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6600 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6600 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6600 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6600 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6600 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6600 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6600 1451 119 =================================================================6600 1451 120 REFERENCES 6600 1451 121 =================================================================6600 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6600 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6600 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6600 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6600 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6600 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6600 1451 128 6600 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6600 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6600 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6600 1451 132 OF THE DATA, ETC. 6600 1451 133 =================================================================6600 1451 134 HISTORY 6600 1451 135 =================================================================6600 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6600 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6600 1451 138 CROSS SECTIONS. 6600 1451 139 =================================================================6600 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6600 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6600 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6600 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6600 1451 144 *RECONSTRUCTED MT NUMBERS 6600 1451 145 516 =+(515,515)+(517,517) 6600 1451 146 522 =+(534,572) 6600 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6600 1451 148 1 451 180 16600 1451 149 23 501 573 16600 1451 150 23 502 142 16600 1451 151 23 504 30 16600 1451 152 23 515 30 16600 1451 153 23 516 59 16600 1451 154 23 517 42 16600 1451 155 23 522 399 26600 1451 156 23 534 34 26600 1451 157 23 535 40 26600 1451 158 23 536 44 26600 1451 159 23 537 47 26600 1451 160 23 538 45 26600 1451 161 23 539 49 26600 1451 162 23 540 52 26600 1451 163 23 541 62 26600 1451 164 23 542 63 26600 1451 165 23 543 50 26600 1451 166 23 544 53 26600 1451 167 23 545 56 26600 1451 168 23 546 67 26600 1451 169 23 547 70 26600 1451 170 23 548 83 26600 1451 171 23 549 82 26600 1451 172 23 550 55 26600 1451 173 23 551 64 26600 1451 174 23 552 67 26600 1451 175 23 559 63 26600 1451 176 27 502 49 16600 1451 177 27 504 45 16600 1451 178 27 505 119 16600 1451 179 27 506 119 16600 1451 180 6600 1 0 181 6600 0 0 182 6.600000+4 1.611040+2 0 0 0 0660023501 183 0.000000+0 0.000000+0 0 0 1 1710660023501 184 1710 2 0 0 0 0660023501 185 1.000000+1 9.355630+5 1.025400+1 8.873380+5 1.030790+1 8.771040+5660023501 186 1.051440+1 8.413230+5 1.058510+1 8.290730+5 1.062000+1 8.236340+5660023501 187 1.062000+1 1.325350+6 1.074560+1 1.300440+6 1.102250+1 1.245530+6660023501 188 1.108820+1 1.232500+6 1.115870+1 1.219620+6 1.139740+1 1.185960+6660023501 189 1.148120+1 1.174140+6 1.154780+1 1.165610+6 1.178500+1 1.135230+6660023501 190 1.209690+1 1.095280+6 1.215320+1 1.088730+6 1.221370+1 1.081690+6660023501 191 1.253300+1 1.053170+6 1.262140+1 1.045280+6 1.274560+1 1.037210+6660023501 192 1.300670+1 1.022940+6 1.321580+1 1.011510+6 1.327520+1 1.008270+6660023501 193 1.343580+1 1.000190+6 1.382690+1 9.890890+5 1.436630+1 9.768080+5660023501 194 1.440150+1 9.765060+5 1.499770+1 9.726610+5 1.500000+1 9.726470+5660023501 195 1.527210+1 9.795560+5 1.568960+1 9.901590+5 1.611850+1 1.001050+6660023501 196 1.660640+1 1.020400+6 1.669410+1 1.023870+6 1.688590+1 1.034940+6660023501 197 1.701190+1 1.042220+6 1.710900+1 1.047980+6 1.746480+1 1.069080+6660023501 198 1.795470+1 1.098140+6 1.801240+1 1.102220+6 1.844550+1 1.132770+6660023501 199 1.857710+1 1.142220+6 1.887140+1 1.163340+6 1.927540+1 1.192340+6660023501 200 1.953130+1 1.210710+6 2.000000+1 1.252870+6 2.042640+1 1.296640+6660023501 201 2.094430+1 1.349810+6 2.108320+1 1.364070+6 2.176100+1 1.433660+6660023501 202 2.241620+1 1.501270+6 2.309120+1 1.570920+6 2.367700+1 1.639110+6660023501 203 2.374830+1 1.648250+6 2.425340+1 1.712990+6 2.463920+1 1.762440+6660023501 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2.376170+1 5.000000+4 1.956400+1 5.302550+4 1.690960+1660023543 1930 5.582270+4 1.488420+1 6.107740+4 1.190590+1 6.534060+4 1.007020+1660023543 1931 6.873210+4 8.881670+0 7.415230+4 7.356660+0 8.000000+4 6.093500+0660023543 1932 8.653970+4 4.970060+0 9.269890+4 4.158330+0 9.844679+4 3.557600+0660023543 1933 1.037680+5 3.103600+0 1.137810+5 2.444020+0 1.219200+5 2.043070+0660023543 1934 1.284040+5 1.786150+0 1.387830+5 1.460060+0 1.500000+5 1.193500+0660023543 1935 1.635760+5 9.500780-1 1.764600+5 7.781780-1 1.885620+5 6.534830-1660023543 1936 1.998310+5 5.608790-1 2.102420+5 4.906820-1 2.297840+5 3.883110-1660023543 1937 2.456240+5 3.258100-1 2.582160+5 2.856290-1 2.783250+5 2.344550-1660023543 1938 3.000000+5 1.924500-1 3.223710+5 1.601870-1 3.402370+5 1.395920-1660023543 1939 3.689100+5 1.135560-1 4.000000+5 9.237600-2 4.207960+5 8.173450-2660023543 1940 4.598240+5 6.597610-2 4.914520+5 5.618520-2 5.165930+5 4.980800-2660023543 1941 5.567370+5 4.157330-2 6.000000+5 3.470000-2 6.447420+5 2.954550-2660023543 1942 6.804750+5 2.618860-2 7.378210+5 2.185470-2 8.000000+5 1.823800-2660023543 1943 8.458970+5 1.623080-2 9.197270+5 1.362640-2 1.000000+6 1.144000-2660023543 1944 1.022000+6 1.095410-2 1.130270+6 8.999200-3 1.250000+6 7.393180-3660023543 1945 1.369310+6 6.242290-3 1.500000+6 5.270550-3 1.611850+6 4.650820-3660023543 1946 1.795470+6 3.855130-3 2.000000+6 3.195580-3 2.044000+6 3.081660-3660023543 1947 2.249780+6 2.648920-3 2.417610+6 2.364730-3 2.693110+6 1.994580-3660023543 1948 3.000000+6 1.682370-3 3.464100+6 1.365240-3 4.000000+6 1.107890-3660023543 1949 4.472140+6 9.505280-4 5.000000+6 8.155170-4 5.477230+6 7.232730-4660023543 1950 6.000000+6 6.414620-4 7.000000+6 5.265660-4 8.000000+6 4.459430-4660023543 1951 9.000000+6 3.861480-4 1.000000+7 3.402390-4 1.100000+7 3.038630-4660023543 1952 1.200000+7 2.744300-4 1.300000+7 2.500820-4 1.400000+7 2.296940-4660023543 1953 1.500000+7 2.122890-4 1.600000+7 1.973770-4 1.800000+7 1.729310-4660023543 1954 2.000000+7 1.538630-4 2.200000+7 1.385110-4 2.400000+7 1.259950-4660023543 1955 2.600000+7 1.154830-4 2.800000+7 1.066330-4 3.000000+7 9.900620-5660023543 1956 3.464100+7 8.495500-5 4.000000+7 7.289790-5 4.472140+7 6.485110-5660023543 1957 5.000000+7 5.769250-5 6.000000+7 4.772830-5 6.928200+7 4.114010-5660023543 1958 8.000000+7 3.546130-5 8.944271+7 3.162890-5 1.000000+8 2.821060-5660023543 1959 660023 0 1960 6.600000+4 1.611040+2 0 0 0 0660023544 1961 3.293800+2 0.000000+0 0 0 1 149660023544 1962 149 2 0 0 0 0660023544 1963 3.293800+2 0.000000+0 3.293800+2 7.613529+4 5.000000+2 7.022850+4660023544 1964 6.000000+2 6.525080+4 7.000000+2 5.911350+4 7.937250+2 5.294420+4660023544 1965 9.000000+2 4.741880+4 1.000000+3 4.240100+4 1.160170+3 3.529510+4660023544 1966 1.346000+3 2.938000+4 1.456210+3 2.619080+4 1.638670+3 2.204410+4660023544 1967 1.844000+3 1.855400+4 2.033000+3 1.588500+4 2.240700+3 1.342250+4660023544 1968 2.410280+3 1.182960+4 2.689020+3 9.787550+3 3.000000+3 8.098000+3660023544 1969 3.223710+3 7.058991+3 3.590940+3 5.745000+3 4.000000+3 4.675600+3660023544 1970 4.426730+3 3.788840+3 4.776390+3 3.235990+3 5.056650+3 2.874970+3660023544 1971 5.508170+3 2.407540+3 6.000000+3 2.016100+3 6.654250+3 1.594960+3660023544 1972 7.191340+3 1.337910+3 7.622420+3 1.172700+3 8.317981+3 9.623300+2660023544 1973 9.077000+3 7.897000+2 9.665201+3 6.761530+2 1.021110+4 5.902760+2660023544 1974 1.124150+4 4.653960+2 1.208210+4 3.894020+2 1.275350+4 3.406670+2660023544 1975 1.383120+4 2.787580+2 1.500000+4 2.281000+2 1.611850+4 1.886670+2660023544 1976 1.701190+4 1.636340+2 1.844550+4 1.321730+2 2.000000+4 1.067600+2660023544 1977 2.103980+4 9.277950+1 2.199390+4 8.205680+1 2.376880+4 6.618730+1660023544 1978 2.519330+4 5.633390+1 2.749180+4 4.423460+1 3.000000+4 3.473400+1660023544 1979 3.197810+4 2.883140+1 3.381560+4 2.449560+1 3.550980+4 2.124010+1660023544 1980 3.706180+4 1.874850+1 3.994270+4 1.507080+1 4.224940+4 1.279410+1660023544 1981 4.406640+4 1.131540+1 4.693950+4 9.411400+0 5.000000+4 7.827800+0660023544 1982 5.221370+4 6.860690+0 5.437800+4 6.062820+0 5.868070+4 4.808410+0660023544 1983 6.272390+4 3.925650+0 6.648960+4 3.287250+0 6.996970+4 2.814420+0660023544 1984 7.316380+4 2.456840+0 7.910829+4 1.936880+0 8.388160+4 1.620500+0660023544 1985 8.764960+4 1.417610+0 9.362140+4 1.159900+0 1.000000+5 9.490400-1660023544 1986 1.044270+5 8.310220-1 1.087560+5 7.337460-1 1.173610+5 5.809910-1660023544 1987 1.254480+5 4.736580-1 1.329790+5 3.961400-1 1.399390+5 3.387930-1660023544 1988 1.463280+5 2.954680-1 1.582170+5 2.325500-1 1.677630+5 1.943220-1660023544 1989 1.752990+5 1.698340-1 1.872430+5 1.387650-1 2.000000+5 1.133800-1660023544 1990 2.103980+5 9.755300-2 2.199390+5 8.552760-2 2.376880+5 6.793940-2660023544 1991 2.519330+5 5.716540-2 2.631750+5 5.022180-2 2.809850+5 4.135520-2660023544 1992 3.000000+5 3.405400-2 3.223710+5 2.776720-2 3.402370+5 2.382620-2660023544 1993 3.689100+5 1.893820-2 4.000000+5 1.505300-2 4.229490+5 1.294220-2660023544 1994 4.598630+5 1.031780-2 5.000000+5 8.225500-3 5.477230+5 6.495080-3660023544 1995 6.000000+5 5.128700-3 6.447420+5 4.303320-3 6.804750+5 3.772690-3660023544 1996 7.378210+5 3.096860-3 8.000000+5 2.542100-3 8.458970+5 2.241150-3660023544 1997 9.197270+5 1.855190-3 1.000000+6 1.535700-3 1.022000+6 1.467900-3660023544 1998 1.130270+6 1.203240-3 1.250000+6 9.862930-4 1.369310+6 8.353550-4660023544 1999 1.500000+6 7.075160-4 1.611850+6 6.243240-4 1.795470+6 5.175110-4660023544 2000 2.000000+6 4.289730-4 2.044000+6 4.136800-4 2.249780+6 3.555900-4660023544 2001 2.417610+6 3.174410-4 2.693110+6 2.677520-4 3.000000+6 2.258410-4660023544 2002 3.464100+6 1.832700-4 4.000000+6 1.487230-4 4.472140+6 1.275990-4660023544 2003 5.000000+6 1.094750-4 5.477230+6 9.709200-5 6.000000+6 8.610960-5660023544 2004 7.000000+6 7.068600-5 8.000000+6 5.986320-5 9.000000+6 5.183640-5660023544 2005 1.000000+7 4.567350-5 1.100000+7 4.079050-5 1.200000+7 3.683940-5660023544 2006 1.300000+7 3.357090-5 1.400000+7 3.083410-5 1.500000+7 2.849750-5660023544 2007 1.600000+7 2.649580-5 1.800000+7 2.321410-5 2.000000+7 2.065450-5660023544 2008 2.200000+7 1.859360-5 2.400000+7 1.691340-5 2.600000+7 1.550230-5660023544 2009 2.800000+7 1.431440-5 3.000000+7 1.329050-5 3.464100+7 1.140430-5660023544 2010 4.000000+7 9.785770-6 4.472140+7 8.705570-6 5.000000+7 7.744610-6660023544 2011 6.000000+7 6.407020-6 6.928200+7 5.522630-6 8.000000+7 4.760310-6660023544 2012 8.944271+7 4.245840-6 1.000000+8 3.786980-6 0.000000+0 0.000000+0660023544 2013 660023 0 2014 6.600000+4 1.611040+2 0 0 0 0660023545 2015 2.915600+2 0.000000+0 0 0 1 157660023545 2016 157 2 0 0 0 0660023545 2017 2.915600+2 0.000000+0 2.915600+2 3.001920+5 3.000000+2 2.888190+5660023545 2018 4.122800+2 2.476680+5 5.000000+2 2.178230+5 6.000000+2 1.859410+5660023545 2019 6.928200+2 1.589280+5 8.000000+2 1.358400+5 8.944270+2 1.175720+5660023545 2020 1.000000+3 1.017600+5 1.077110+3 9.123300+4 1.204070+3 7.744870+4660023545 2021 1.346000+3 6.574700+4 1.456210+3 5.772590+4 1.638670+3 4.749110+4660023545 2022 1.844000+3 3.907100+4 2.082580+3 3.114170+4 2.281560+3 2.626980+4660023545 2023 2.443170+3 2.312300+4 2.707310+3 1.909520+4 3.000000+3 1.576900+4660023545 2024 3.223710+3 1.360460+4 3.590940+3 1.090200+4 4.000000+3 8.736300+3660023545 2025 4.426730+3 6.982250+3 4.776390+3 5.901960+3 5.056650+3 5.202920+3660023545 2026 5.508170+3 4.306480+3 6.000000+3 3.564500+3 6.318660+3 3.148650+3660023545 2027 6.917580+3 2.534210+3 7.403741+3 2.153440+3 7.790661+3 1.905900+3660023545 2028 8.409270+3 1.586900+3 9.077000+3 1.321300+3 9.665201+3 1.121770+3660023545 2029 1.021110+4 9.720660+2 1.071390+4 8.575560+2 1.165420+4 6.886590+2660023545 2030 1.241330+4 5.841990+2 1.301480+4 5.163900+2 1.397220+4 4.291450+2660023545 2031 1.500000+4 3.566400+2 1.611850+4 2.920290+2 1.701190+4 2.513760+2660023545 2032 1.844550+4 2.007560+2 2.000000+4 1.603300+2 2.103980+4 1.382920+2660023545 2033 2.199390+4 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1.266670+4-1.273180+0660027506 2919 1.277530+4-1.185010+0 1.312290+4-9.618260-1 1.328140+4-8.820800-1660027506 2920 1.359670+4-7.181300-1 1.397220+4-5.459970-1 1.404480+4-5.199160-1660027506 2921 1.421020+4-4.694840-1 1.459790+4-3.258560-1 1.500640+4-1.796250-1660027506 2922 1.527210+4-8.756180-2 1.531900+4-7.279900-2 1.544210+4-4.252090-2660027506 2923 1.554920+4-2.974170-2 1.575340+4-4.343460-3 1.577770+4-1.349920-3660027506 2924 1.592190+4 1.552240-2 1.604630+4 2.955610-2 1.623330+4 4.937190-2660027506 2925 1.655920+4 8.797130-2 1.701190+4 1.451390-1 1.707120+4 1.506480-1660027506 2926 1.798500+4 1.658020-1 1.820370+4 1.705790-1 1.889470+4 1.804290-1660027506 2927 1.913020+4 1.798660-1 1.954080+4 1.731660-1 2.056240+4 1.479620-1660027506 2928 2.080110+4 1.401380-1 2.152760+4 1.089380-1 2.225940+4 8.392490-2660027506 2929 2.262720+4 6.819570-2 2.280820+4 5.704780-2 2.296760+4 4.324230-2660027506 2930 2.313440+4 2.777840-2 2.367160+4-1.263610-2 2.383470+4-2.392020-2660027506 2931 2.457260+4-7.410890-2 2.488050+4-9.765640-2 2.511630+4-1.183860-1660027506 2932 2.523290+4-1.294900-1 2.535380+4-1.430190-1 2.574930+4-1.789010-1660027506 2933 2.668810+4-2.542640-1 2.749350+4-3.212330-1 2.782670+4-3.518440-1660027506 2934 3.007480+4-5.151980-1 3.185620+4-6.803040-1 3.471900+4-9.257440-1660027506 2935 3.574930+4-1.016230+0 3.911850+4-1.343550+0 4.223450+4-1.687900+0660027506 2936 4.480590+4-2.030060+0 4.653110+4-2.318290+0 4.911880+4-2.911850+0660027506 2937 5.041270+4-3.356350+0 5.179940+4-4.108900+0 5.231220+4-4.562450+0660027506 2938 5.267950+4-5.039500+0 5.283620+4-5.311700+0 5.296810+4-5.581810+0660027506 2939 5.307460+4-5.826810+0 5.312380+4-5.947790+0 5.319170+4-6.118760+0660027506 2940 5.327590+4-6.336620+0 5.332540+4-6.464470+0 5.341970+4-6.697410+0660027506 2941 5.352310+4-6.926760+0 5.363930+4-7.128820+0 5.384290+4-7.259000+0660027506 2942 5.404650+4-7.095310+0 5.427510+4-6.632220+0 5.442160+4-6.213660+0660027506 2943 5.470330+4-5.472490+0 5.483760+4-5.116340+0 5.523460+4-4.403170+0660027506 2944 5.597910+4-3.604540+0 5.663060+4-3.117780+0 5.786640+4-2.447160+0660027506 2945 5.868070+4-2.106510+0 6.000000+4-1.668700+0 6.119070+4-1.362910+0660027506 2946 6.243370+4-1.110310+0 6.367670+4-9.097750-1 6.654650+4-5.300290-1660027506 2947 6.791080+4-3.786320-1 6.943920+4-2.568170-1 7.249540+4-4.284020-2660027506 2948 7.316380+4-1.363260-3 7.400320+4 5.109560-2 7.408200+4 5.605180-2660027506 2949 7.489710+4 9.734610-2 7.730720+4 1.805780-1 8.000000+4 2.896700-1660027506 2950 8.115210+4 3.296510-1 8.160850+4 3.431400-1 8.395629+4 3.925920-1660027506 2951 8.563460+4 4.285420-1 8.610329+4 4.353650-1 8.700670+4 4.436050-1660027506 2952 9.165190+4 5.275460-1 9.296400+4 5.452700-1 9.373100+4 5.518260-1660027506 2953 9.482579+4 5.534310-1 1.000100+5 5.938040-1 1.028540+5 5.957790-1660027506 2954 1.065660+5 6.077940-1 1.101690+5 6.050730-1 1.144660+5 6.132420-1660027506 2955 1.255090+5 5.902850-1 1.364540+5 5.664540-1 1.462870+5 5.321690-1660027506 2956 1.572190+5 5.014130-1 1.719240+5 4.587990-1 1.846890+5 4.208790-1660027506 2957 1.972750+5 3.882190-1 2.102420+5 3.566240-1 2.221880+5 3.294830-1660027506 2958 2.400770+5 2.957500-1 2.635790+5 2.579260-1 2.809850+5 2.326850-1660027506 2959 3.054430+5 2.028930-1 3.280470+5 1.783060-1 3.542840+5 1.539620-1660027506 2960 3.841410+5 1.312230-1 4.248650+5 1.072120-1 4.451860+5 9.637930-2660027506 2961 5.046020+5 7.104640-2 5.621000+5 5.294490-2 6.072610+5 4.310500-2660027506 2962 6.814340+5 2.924830-2 7.296220+5 2.243460-2 7.390120+5 2.089920-2660027506 2963 7.682820+5 1.767860-2 8.061910+5 1.374800-2 8.696620+5 8.058470-3660027506 2964 9.197270+5 4.771230-3 9.771340+5 1.198480-3 1.000000+6 0.000000+0660027506 2965 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0660027506 2966 660027 0 2967 6600 0 0 2968 0 0 0 2969 6.700000+4 1.635140+2 -1 0 2 26700 1451 1 0.000000+0 0.000000+0 0 0 0 66700 1451 2 0.000000+0 0.000000+0 0 0 3 26700 1451 3 0.000000+0 0.000000+0 0 0 144 326700 1451 4 67-HO LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6700 1451 6 ----JEF-2 MATERIAL 6700 REVISION 0 6700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6700 1451 8 ------ENDF-6 FORMAT 6700 1451 9 ******************************************************************6700 1451 10 * JEF-2 *6700 1451 11 * DATA TAKEN FROM EPDL *6700 1451 12 ******************************************************************6700 1451 13 =================================================================6700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6700 1451 15 ENDF/B-VI FORMAT 6700 1451 16 =================================================================6700 1451 17 CONTENTS 6700 1451 18 =================================================================6700 1451 19 MF/MT DESCRIPTION 6700 1451 20 =================================================================6700 1451 21 23/501 TOTAL CROSS SECTION 6700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 48 =================================================================6700 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6700 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6700 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6700 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6700 1451 53 =================================================================6700 1451 54 WARNING 6700 1451 55 =================================================================6700 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6700 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6700 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6700 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6700 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6700 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6700 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6700 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6700 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6700 1451 65 =================================================================6700 1451 66 DEFINITION OF NEW TYPES OF DATA 6700 1451 67 =================================================================6700 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6700 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6700 1451 70 6700 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6700 1451 72 C2 FIELDS ARE, 6700 1451 73 6700 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6700 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6700 1451 76 6700 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6700 1451 78 6700 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6700 1451 80 6700 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6700 1451 82 T = THE THOMSON CROSS SECTION 6700 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6700 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6700 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6700 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6700 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6700 1451 88 6700 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6700 1451 90 6700 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6700 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6700 1451 93 =================================================================6700 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6700 1451 95 =================================================================6700 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6700 1451 97 HERE - 10 EV TO 100 MEV 6700 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6700 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6700 1451 100 HERE - PHOTON INTERACTION 6700 1451 101 - AVERAGE FLUORESCENCE YIELD 6700 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6700 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6700 1451 104 HERE - NO SECONDARY ENERGY DATA 6700 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6700 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6700 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6700 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6700 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6700 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6700 1451 111 (SINCE THEY CAN BE NEGATIVE). 6700 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6700 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6700 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6700 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6700 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6700 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6700 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6700 1451 119 =================================================================6700 1451 120 REFERENCES 6700 1451 121 =================================================================6700 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6700 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6700 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6700 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6700 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6700 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6700 1451 128 6700 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6700 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6700 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6700 1451 132 OF THE DATA, ETC. 6700 1451 133 =================================================================6700 1451 134 HISTORY 6700 1451 135 =================================================================6700 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6700 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6700 1451 138 CROSS SECTIONS. 6700 1451 139 =================================================================6700 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6700 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6700 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6700 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6700 1451 144 *RECONSTRUCTED MT NUMBERS 6700 1451 145 516 =+(515,515)+(517,517) 6700 1451 146 522 =+(534,572) 6700 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6700 1451 148 1 451 180 16700 1451 149 23 501 580 16700 1451 150 23 502 140 16700 1451 151 23 504 30 16700 1451 152 23 515 30 16700 1451 153 23 516 59 16700 1451 154 23 517 42 16700 1451 155 23 522 409 26700 1451 156 23 534 33 26700 1451 157 23 535 40 26700 1451 158 23 536 45 26700 1451 159 23 537 46 26700 1451 160 23 538 45 26700 1451 161 23 539 50 26700 1451 162 23 540 51 26700 1451 163 23 541 62 26700 1451 164 23 542 63 26700 1451 165 23 543 50 26700 1451 166 23 544 53 26700 1451 167 23 545 55 26700 1451 168 23 546 67 26700 1451 169 23 547 70 26700 1451 170 23 548 83 26700 1451 171 23 549 82 26700 1451 172 23 550 56 26700 1451 173 23 551 65 26700 1451 174 23 552 66 26700 1451 175 23 559 63 26700 1451 176 27 502 52 16700 1451 177 27 504 48 16700 1451 178 27 505 117 16700 1451 179 27 506 117 16700 1451 180 6700 1 0 181 6700 0 0 182 6.700000+4 1.635140+2 0 0 0 0670023501 183 0.000000+0 0.000000+0 0 0 1 1730670023501 184 1730 2 0 0 0 0670023501 185 1.000000+1 1.097630+6 1.034050+1 1.018090+6 1.036890+1 1.011450+6670023501 186 1.069260+1 9.426970+5 1.070290+1 9.405090+5 1.080000+1 9.213800+5670023501 187 1.080000+1 1.505310+6 1.096040+1 1.464270+6 1.100390+1 1.453140+6670023501 188 1.102000+1 1.449290+6 1.125200+1 1.406010+6 1.154780+1 1.350830+6670023501 189 1.155130+1 1.350180+6 1.187150+1 1.295070+6 1.196760+1 1.278530+6670023501 190 1.197960+1 1.276610+6 1.220060+1 1.243140+6 1.231120+1 1.230340+6670023501 191 1.250930+1 1.208920+6 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1.500000+3 2.165600+4 1.635120+3 1.889750+4670023543 1930 1.860960+3 1.540440+4 2.118000+3 1.255700+4 2.310600+3 1.083460+4670023543 1931 2.632830+3 8.683630+3 3.000000+3 6.959701+3 3.197810+3 6.200850+3670023543 1932 3.575870+3 5.066490+3 3.888470+3 4.354110+3 4.140730+3 3.886360+3670023543 1933 4.550120+3 3.277250+3 5.000000+3 2.763600+3 5.412540+3 2.371370+3670023543 1934 5.801340+3 2.074120+3 6.164390+3 1.844750+3 6.855230+3 1.502690+3670023543 1935 7.423721+3 1.288460+3 7.880810+3 1.148070+3 8.619760+3 9.656480+2670023543 1936 9.428000+3 8.122100+2 9.991451+3 7.209980+2 1.105970+4 5.853280+2670023543 1937 1.193520+4 5.006080+2 1.263710+4 4.452170+2 1.376790+4 3.734070+2670023543 1938 1.500000+4 3.131800+2 1.611850+4 2.684730+2 1.795470+4 2.130890+2670023543 1939 2.000000+4 1.691300+2 2.213360+4 1.349450+2 2.388200+4 1.139230+2670023543 1940 2.528320+4 1.003350+2 2.754080+4 8.292970+1 3.000000+4 6.854400+1670023543 1941 3.197810+4 5.900420+1 3.381560+4 5.175260+1 3.728900+4 4.114040+1670023543 1942 4.012620+4 3.463540+1 4.239490+4 3.044110+1 4.604070+4 2.508240+1670023543 1943 5.000000+4 2.066700+1 5.302550+4 1.787290+1 5.582270+4 1.573980+1670023543 1944 6.107740+4 1.260100+1 6.534060+4 1.066500+1 6.873210+4 9.410760+0670023543 1945 7.415230+4 7.800520+0 8.000000+4 6.465800+0 8.653970+4 5.277500+0670023543 1946 9.269890+4 4.418330+0 9.844679+4 3.782110+0 1.037680+5 3.301040+0670023543 1947 1.137810+5 2.601690+0 1.219200+5 2.176250+0 1.284040+5 1.903480+0670023543 1948 1.387830+5 1.557070+0 1.500000+5 1.273700+0 1.635760+5 1.014660+0670023543 1949 1.764600+5 8.316120-1 1.885620+5 6.987460-1 1.998310+5 6.000230-1670023543 1950 2.102420+5 5.251530-1 2.297840+5 4.159030-1 2.456240+5 3.491570-1670023543 1951 2.582160+5 3.062270-1 2.783250+5 2.515220-1 3.000000+5 2.065900-1670023543 1952 3.223710+5 1.720440-1 3.402370+5 1.499820-1 3.689100+5 1.220780-1670023543 1953 4.000000+5 9.936500-2 4.207960+5 8.794240-2 4.598240+5 7.102100-2670023543 1954 4.914520+5 6.050320-2 5.165930+5 5.365030-2 5.567370+5 4.479840-2670023543 1955 6.000000+5 3.740700-2 6.447420+5 3.185820-2 6.804750+5 2.824370-2670023543 1956 7.378210+5 2.357620-2 8.000000+5 1.968000-2 8.458970+5 1.751530-2670023543 1957 9.197270+5 1.470640-2 1.000000+6 1.234800-2 1.022000+6 1.182340-2670023543 1958 1.130270+6 9.712360-3 1.250000+6 7.978240-3 1.369310+6 6.735390-3670023543 1959 1.500000+6 5.686150-3 1.611850+6 5.017600-3 1.795470+6 4.159220-3670023543 1960 2.000000+6 3.447690-3 2.044000+6 3.324890-3 2.249780+6 2.857670-3670023543 1961 2.417610+6 2.550870-3 2.693110+6 2.151310-3 3.000000+6 1.814340-3670023543 1962 3.464100+6 1.472110-3 4.000000+6 1.194440-3 4.472140+6 1.024540-3670023543 1963 5.000000+6 8.788130-4 5.477230+6 7.792230-4 6.000000+6 6.909190-4670023543 1964 7.000000+6 5.676280-4 8.000000+6 4.802900-4 9.000000+6 4.158330-4670023543 1965 1.000000+7 3.663200-4 1.100000+7 3.271630-4 1.200000+7 2.954040-4670023543 1966 1.300000+7 2.692170-4 1.400000+7 2.472220-4 1.500000+7 2.285310-4670023543 1967 1.600000+7 2.124050-4 1.800000+7 1.861190-4 2.000000+7 1.655540-4670023543 1968 2.200000+7 1.490830-4 2.400000+7 1.355700-4 2.600000+7 1.242770-4670023543 1969 2.800000+7 1.147090-4 3.000000+7 1.065230-4 3.464100+7 9.142210-5670023543 1970 4.000000+7 7.846190-5 4.472140+7 6.979700-5 5.000000+7 6.208900-5670023543 1971 6.000000+7 5.133810-5 6.928200+7 4.425320-5 8.000000+7 3.814600-5670023543 1972 8.944271+7 3.402220-5 1.000000+8 3.034420-5 0.000000+0 0.000000+0670023543 1973 670023 0 1974 6.700000+4 1.635140+2 0 0 0 0670023544 1975 3.430500+2 0.000000+0 0 0 1 149670023544 1976 149 2 0 0 0 0670023544 1977 3.430500+2 0.000000+0 3.430500+2 7.286420+4 4.195100+2 6.971130+4670023544 1978 5.000000+2 6.797300+4 6.000000+2 6.387700+4 7.000000+2 5.842240+4670023544 1979 7.937250+2 5.264190+4 9.000000+2 4.743330+4 1.000000+3 4.261800+4670023544 1980 1.185330+3 3.466620+4 1.405000+3 2.819800+4 1.519880+3 2.514250+4670023544 1981 1.710040+3 2.116870+4 1.924000+3 1.782300+4 2.149980+3 1.476970+4670023544 1982 2.336720+3 1.282820+4 2.647670+3 1.038370+4 3.000000+3 8.405100+3670023544 1983 3.223710+3 7.337340+3 3.590940+3 5.984570+3 4.000000+3 4.881200+3670023544 1984 4.426730+3 3.962960+3 4.776390+3 3.389530+3 5.056650+3 3.014600+3670023544 1985 5.508170+3 2.528510+3 6.000000+3 2.120800+3 6.638620+3 1.690400+3670023544 1986 7.161800+3 1.425960+3 7.581070+3 1.255150+3 8.256451+3 1.036520+3670023544 1987 8.992000+3 8.559700+2 9.585960+3 7.317310+2 1.013780+4 6.379080+2670023544 1988 1.064660+4 5.657360+2 1.159930+4 4.585230+2 1.236930+4 3.916710+2670023544 1989 1.362130+4 3.092160+2 1.500000+4 2.441200+2 1.611850+4 2.021830+2670023544 1990 1.701190+4 1.755300+2 1.844550+4 1.419910+2 2.000000+4 1.148600+2670023544 1991 2.103980+4 9.990820+1 2.199390+4 8.843090+1 2.376880+4 7.142660+1670023544 1992 2.519330+4 6.085570+1 2.749180+4 4.785900+1 3.000000+4 3.763800+1670023544 1993 3.197810+4 3.127570+1 3.381560+4 2.659740+1 3.550980+4 2.308170+1670023544 1994 3.706180+4 2.038880+1 3.994270+4 1.641010+1 4.224940+4 1.394440+1670023544 1995 4.406640+4 1.234140+1 4.693950+4 1.027580+1 5.000000+4 8.555900+0670023544 1996 5.221370+4 7.503720+0 5.437800+4 6.635140+0 5.868070+4 5.268340+0670023544 1997 6.272390+4 4.305470+0 6.648960+4 3.608470+0 6.996970+4 3.091810+0670023544 1998 7.316380+4 2.700800+0 7.910829+4 2.131720+0 8.388160+4 1.785080+0670023544 1999 8.764960+4 1.562630+0 9.362140+4 1.279820+0 1.000000+5 1.048200+0670023544 2000 1.044270+5 9.183410-1 1.087560+5 8.112490-1 1.173610+5 6.429620-1670023544 2001 1.254480+5 5.246110-1 1.329790+5 4.390690-1 1.399390+5 3.757440-1670023544 2002 1.463280+5 3.278730-1 1.582170+5 2.583030-1 1.677630+5 2.159970-1670023544 2003 1.752990+5 1.888810-1 1.872430+5 1.544530-1 2.000000+5 1.263000-1670023544 2004 2.103980+5 1.087240-1 2.199390+5 9.536390-2 2.376880+5 7.581150-2670023544 2005 2.519330+5 6.382610-2 2.631750+5 5.609780-2 2.809850+5 4.622390-2670023544 2006 3.000000+5 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6.452430+3-1.124430+1 6.857210+3-1.226430+1 7.098850+3-1.313520+1670027506 2920 7.373201+3-1.433040+1 7.581070+3-1.566260+1 7.725370+3-1.699710+1670027506 2921 7.826221+3-1.840010+1 7.895050+3-1.991010+1 7.928060+3-2.094030+1670027506 2922 7.951241+3-2.180330+1 7.970491+3-2.257840+1 7.981540+3-2.302880+1670027506 2923 7.995650+3-2.358010+1 8.011130+3-2.412510+1 8.028510+3-2.460920+1670027506 2924 8.061911+3-2.495990+1 8.095300+3-2.454320+1 8.121690+3-2.370520+1670027506 2925 8.155070+3-2.242560+1 8.186400+3-2.121720+1 8.220951+3-2.008370+1670027506 2926 8.274340+3-1.883430+1 8.386731+3-1.737200+1 8.514920+3-1.656230+1670027506 2927 8.659580+3-1.615090+1 8.758100+3-1.649270+1 8.817470+3-1.710630+1670027506 2928 8.855540+3-1.758970+1 8.891941+3-1.792700+1 8.930071+3-1.793920+1670027506 2929 8.986161+3-1.728440+1 9.039520+3-1.632430+1 9.113300+3-1.515450+1670027506 2930 9.189611+3-1.459740+1 9.267121+3-1.455970+1 9.321670+3-1.450750+1670027506 2931 9.379331+3-1.409290+1 9.465140+3-1.285020+1 9.531781+3-1.177490+1670027506 2932 9.593040+3-1.100320+1 9.737871+3-9.735650+0 9.918041+3-8.511730+0670027506 2933 1.022350+4-6.986770+0 1.053140+4-5.767920+0 1.075580+4-5.077290+0670027506 2934 1.122210+4-3.867370+0 1.142610+4-3.414740+0 1.165730+4-3.029070+0670027506 2935 1.182690+4-2.800680+0 1.235020+4-2.070950+0 1.255420+4-1.828680+0670027506 2936 1.264160+4-1.743780+0 1.293570+4-1.503230+0 1.335750+4-1.143290+0670027506 2937 1.364600+4-9.843680-1 1.380460+4-9.116510-1 1.429890+4-6.308380-1670027506 2938 1.456320+4-5.240990-1 1.482920+4-4.369590-1 1.543140+4-2.164320-1670027506 2939 1.559610+4-1.692350-1 1.565700+4-1.541670-1 1.574750+4-1.386620-1670027506 2940 1.614630+4-8.286070-2 1.618400+4-7.798090-2 1.633070+4-5.488520-2670027506 2941 1.655920+4-1.656500-2 1.692530+4 4.884460-2 1.710400+4 7.300060-2670027506 2942 1.749570+4 1.060370-1 1.798500+4 1.274070-1 1.820370+4 1.363130-1670027506 2943 1.865360+4 1.530880-1 1.873520+4 1.564260-1 1.951990+4 1.766100-1670027506 2944 2.052010+4 1.682190-1 2.103980+4 1.583900-1 2.167260+4 1.487190-1670027506 2945 2.186690+4 1.436770-1 2.201730+4 1.358750-1 2.243850+4 1.102450-1670027506 2946 2.286410+4 9.341680-2 2.339920+4 6.816290-2 2.376880+4 4.595690-2670027506 2947 2.403910+4 2.857240-2 2.430590+4 8.948460-3 2.441830+4-3.730610-4670027506 2948 2.443920+4-2.060890-3 2.447070+4-5.168130-3 2.457260+4-1.491410-2670027506 2949 2.487260+4-3.739240-2 2.583000+4-1.119550-1 2.668810+4-1.799780-1670027506 2950 2.719340+4-2.196140-1 2.765960+4-2.582800-1 2.871850+4-3.385210-1670027506 2951 2.936250+4-3.879440-1 3.097330+4-5.020820-1 3.236230+4-6.250790-1670027506 2952 3.531850+4-8.695550-1 3.689430+4-1.002910+0 3.964940+4-1.261760+0670027506 2953 4.124490+4-1.417460+0 4.430630+4-1.759010+0 4.633490+4-2.023980+0670027506 2954 4.811890+4-2.310360+0 5.079500+4-2.902350+0 5.220210+4-3.381570+0670027506 2955 5.356700+4-4.098860+0 5.409740+4-4.551260+0 5.447270+4-5.019720+0670027506 2956 5.465160+4-5.321000+0 5.477560+4-5.567000+0 5.488580+4-5.811140+0670027506 2957 5.500510+4-6.097640+0 5.506880+4-6.256580+0 5.514510+4-6.446630+0670027506 2958 5.524260+4-6.678850+0 5.534960+4-6.907280+0 5.546970+4-7.107280+0670027506 2959 5.570430+4-7.236540+0 5.593890+4-7.015230+0 5.615610+4-6.545670+0670027506 2960 5.636440+4-5.990280+0 5.662790+4-5.330970+0 5.687910+4-4.795150+0670027506 2961 5.737420+4-4.083440+0 5.817430+4-3.349300+0 5.888930+4-2.890640+0670027506 2962 5.971970+4-2.464870+0 6.064690+4-2.106080+0 6.296870+4-1.445810+0670027506 2963 6.412680+4-1.196620+0 6.526510+4-1.006020+0 6.781260+4-6.470390-1670027506 2964 6.915670+4-4.885530-1 7.050160+4-3.695310-1 7.365790+4-1.279620-1670027506 2965 7.563960+4-5.450130-4 7.597300+4 2.092250-2 7.802010+4 1.044980-1670027506 2966 8.146000+4 2.476080-1 8.209350+4 2.685550-1 8.381710+4 3.041220-1670027506 2967 8.682260+4 3.876700-1 8.867100+4 4.305480-1 8.956640+4 4.410420-1670027506 2968 9.085070+4 4.599810-1 9.439590+4 5.195310-1 9.601270+4 5.358760-1670027506 2969 9.675810+4 5.353300-1 1.006790+5 5.691780-1 1.028540+5 5.780530-1670027506 2970 1.044270+5 5.771890-1 1.109850+5 6.058910-1 1.162780+5 5.993200-1670027506 2971 1.236960+5 5.948360-1 1.334930+5 5.790390-1 1.453410+5 5.459200-1670027506 2972 1.559890+5 5.133870-1 1.655920+5 4.853370-1 1.771420+5 4.525470-1670027506 2973 1.896570+5 4.178960-1 2.011990+5 3.879080-1 2.171360+5 3.502970-1670027506 2974 2.378050+5 3.101170-1 2.550860+5 2.791960-1 2.752930+5 2.485910-1670027506 2975 3.000630+5 2.168030-1 3.280470+5 1.857560-1 3.542840+5 1.601910-1670027506 2976 3.841410+5 1.365510-1 4.248650+5 1.115960-1 4.494520+5 9.836360-2670027506 2977 5.046020+5 7.399870-2 5.620990+5 5.516160-2 6.085360+5 4.465970-2670027506 2978 6.814340+5 3.047290-2 7.333280+5 2.275800-2 7.390110+5 2.178660-2670027506 2979 8.047410+5 1.447290-2 8.458970+5 1.058470-2 8.696620+5 8.396410-3670027506 2980 9.197270+5 4.968660-3 9.771340+5 1.249010-3 1.000000+6 0.000000+0670027506 2981 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0670027506 2982 670027 0 2983 6700 0 0 2984 0 0 0 2985 6.800000+4 1.658230+2 -1 0 2 26800 1451 1 0.000000+0 0.000000+0 0 0 0 66800 1451 2 0.000000+0 0.000000+0 0 0 3 26800 1451 3 0.000000+0 0.000000+0 0 0 144 326800 1451 4 68-ER LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6800 1451 6 ----JEF-2 MATERIAL 6800 REVISION 0 6800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6800 1451 8 ------ENDF-6 FORMAT 6800 1451 9 ******************************************************************6800 1451 10 * JEF-2 *6800 1451 11 * DATA TAKEN FROM EPDL *6800 1451 12 ******************************************************************6800 1451 13 =================================================================6800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6800 1451 15 ENDF/B-VI FORMAT 6800 1451 16 =================================================================6800 1451 17 CONTENTS 6800 1451 18 =================================================================6800 1451 19 MF/MT DESCRIPTION 6800 1451 20 =================================================================6800 1451 21 23/501 TOTAL CROSS SECTION 6800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 48 =================================================================6800 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6800 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6800 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6800 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6800 1451 53 =================================================================6800 1451 54 WARNING 6800 1451 55 =================================================================6800 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6800 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6800 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6800 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6800 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6800 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6800 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6800 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6800 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6800 1451 65 =================================================================6800 1451 66 DEFINITION OF NEW TYPES OF DATA 6800 1451 67 =================================================================6800 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6800 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6800 1451 70 6800 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6800 1451 72 C2 FIELDS ARE, 6800 1451 73 6800 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6800 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6800 1451 76 6800 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6800 1451 78 6800 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6800 1451 80 6800 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6800 1451 82 T = THE THOMSON CROSS SECTION 6800 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6800 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6800 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6800 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6800 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6800 1451 88 6800 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6800 1451 90 6800 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6800 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6800 1451 93 =================================================================6800 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6800 1451 95 =================================================================6800 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6800 1451 97 HERE - 10 EV TO 100 MEV 6800 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6800 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6800 1451 100 HERE - PHOTON INTERACTION 6800 1451 101 - AVERAGE FLUORESCENCE YIELD 6800 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6800 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6800 1451 104 HERE - NO SECONDARY ENERGY DATA 6800 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6800 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6800 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6800 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6800 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6800 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6800 1451 111 (SINCE THEY CAN BE NEGATIVE). 6800 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6800 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6800 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6800 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6800 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6800 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6800 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6800 1451 119 =================================================================6800 1451 120 REFERENCES 6800 1451 121 =================================================================6800 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6800 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6800 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6800 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6800 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6800 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6800 1451 128 6800 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6800 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6800 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6800 1451 132 OF THE DATA, ETC. 6800 1451 133 =================================================================6800 1451 134 HISTORY 6800 1451 135 =================================================================6800 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6800 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6800 1451 138 CROSS SECTIONS. 6800 1451 139 =================================================================6800 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6800 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6800 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6800 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6800 1451 144 *RECONSTRUCTED MT NUMBERS 6800 1451 145 516 =+(515,515)+(517,517) 6800 1451 146 522 =+(534,572) 6800 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6800 1451 148 1 451 180 16800 1451 149 23 501 579 16800 1451 150 23 502 141 16800 1451 151 23 504 30 16800 1451 152 23 515 30 16800 1451 153 23 516 59 16800 1451 154 23 517 42 16800 1451 155 23 522 406 26800 1451 156 23 534 33 26800 1451 157 23 535 40 26800 1451 158 23 536 45 26800 1451 159 23 537 46 26800 1451 160 23 538 45 26800 1451 161 23 539 49 26800 1451 162 23 540 50 26800 1451 163 23 541 63 26800 1451 164 23 542 62 26800 1451 165 23 543 50 26800 1451 166 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8.012670+1 2.624580+4 6.737640+1 2.713780+4 5.916380+1680023542 1878 2.853300+4 4.868310+1 3.000000+4 4.005900+1 3.126160+4 3.394340+1680023542 1879 3.249240+4 2.906080+1 3.369030+4 2.512320+1 3.485350+4 2.191770+1680023542 1880 3.598030+4 1.928500+1 3.819230+4 1.517100+1 4.023910+4 1.229810+1680023542 1881 4.211980+4 1.023420+1 4.383740+4 8.714590+0 4.539760+4 7.571190+0680023542 1882 4.826290+4 5.919290+0 5.052990+4 4.921520+0 5.229970+4 4.285200+0680023542 1883 5.507140+4 3.481600+0 5.799000+4 2.828700+0 5.999890+4 2.462500+0680023542 1884 6.194550+4 2.162370+0 6.576710+4 1.694700+0 6.930380+4 1.369250+0680023542 1885 7.255420+4 1.136190+0 7.552310+4 9.650470-1 7.822040+4 8.365810-1680023542 1886 8.317440+4 6.515350-1 8.709479+4 5.401440-1 9.015590+4 4.692870-1680023542 1887 9.495050+4 3.800430-1 1.000000+5 3.077700-1 1.051990+5 2.512440-1680023542 1888 1.099690+5 2.103690-1 1.143200+5 1.800970-1 1.182690+5 1.572050-1680023542 1889 1.255090+5 1.239210-1 1.312290+5 1.036700-1 1.356890+5 9.068510-2680023542 1890 1.426650+5 7.419230-2 1.500000+5 6.069900-2 1.554920+5 5.279580-2680023542 1891 1.655920+5 4.136010-2 1.735950+5 3.444030-2 1.798500+5 3.002150-2680023542 1892 1.896570+5 2.443310-2 2.000000+5 1.988500-2 2.077490+5 1.726270-2680023542 1893 2.220390+5 1.347810-2 2.333980+5 1.119480-2 2.422960+5 9.740010-3680023542 1894 2.562850+5 7.904470-3 2.710810+5 6.414840-3 2.851740+5 5.352150-3680023542 1895 3.000000+5 4.465500-3 3.223710+5 3.492010-3 3.402370+5 2.903880-3680023542 1896 3.542840+5 2.528760-3 3.764490+5 2.054940-3 4.000000+5 1.669900-3680023542 1897 4.229490+5 1.395100-3 4.410200+5 1.219100-3 4.695850+5 9.958490-4680023542 1898 5.000000+5 8.134800-4 5.233180+5 7.107000-4 5.603490+5 5.803580-4680023542 1899 6.000000+5 4.739200-4 6.447420+5 3.900220-4 6.804750+5 3.369970-4680023542 1900 7.378210+5 2.706660-4 8.000000+5 2.173900-4 8.458970+5 1.892540-4680023542 1901 9.197270+5 1.537270-4 1.000000+6 1.248700-4 1.022000+6 1.190270-4680023542 1902 1.130270+6 9.727630-5 1.250000+6 7.950020-5 1.369310+6 6.759690-5680023542 1903 1.500000+6 5.747590-5 1.611850+6 5.071980-5 1.795470+6 4.204510-5680023542 1904 2.000000+6 3.485410-5 2.044000+6 3.361310-5 2.249780+6 2.888490-5680023542 1905 2.417610+6 2.578060-5 2.693110+6 2.173830-5 3.000000+6 1.832980-5680023542 1906 3.464100+6 1.487060-5 4.000000+6 1.206430-5 4.472140+6 1.034650-5680023542 1907 5.000000+6 8.873310-6 5.477230+6 7.866850-6 6.000000+6 6.974550-6680023542 1908 7.000000+6 5.728930-6 8.000000+6 4.847200-6 9.000000+6 4.195930-6680023542 1909 1.000000+7 3.695810-6 1.100000+7 3.300670-6 1.200000+7 2.980160-6680023542 1910 1.300000+7 2.715640-6 1.400000+7 2.493580-6 1.500000+7 2.304630-6680023542 1911 1.600000+7 2.142280-6 1.800000+7 1.876830-6 2.000000+7 1.669690-6680023542 1912 2.200000+7 1.503140-6 2.400000+7 1.366920-6 2.600000+7 1.253090-6680023542 1913 2.800000+7 1.156520-6 3.000000+7 1.073940-6 3.464100+7 9.215360-7680023542 1914 4.000000+7 7.907600-7 4.472140+7 7.033540-7 5.000000+7 6.256100-7680023542 1915 6.000000+7 5.173760-7 6.928200+7 4.459950-7 8.000000+7 3.844630-7680023542 1916 8.944271+7 3.428870-7 1.000000+8 3.058070-7 0.000000+0 0.000000+0680023542 1917 680023 0 1918 6.800000+4 1.658230+2 0 0 0 0680023543 1919 4.368500+2 0.000000+0 0 0 1 139680023543 1920 139 2 0 0 0 0680023543 1921 4.368500+2 0.000000+0 4.368500+2 8.552850+4 5.000000+2 7.940500+4680023543 1922 6.000000+2 6.869240+4 6.928200+2 5.929580+4 8.000000+2 5.118450+4680023543 1923 8.944270+2 4.465190+4 1.000000+3 3.895300+4 1.106680+3 3.380330+4680023543 1924 1.288420+3 2.732670+4 1.500000+3 2.209100+4 1.651660+3 1.899040+4680023543 1925 1.775390+3 1.695410+4 1.978570+3 1.430150+4 2.205000+3 1.206400+4680023543 1926 2.381420+3 1.059400+4 2.672880+3 8.718020+3 3.000000+3 7.174201+3680023543 1927 3.197810+3 6.395910+3 3.575870+3 5.231530+3 3.888470+3 4.499590+3680023543 1928 4.409350+3 3.589130+3 5.000000+3 2.862900+3 5.437810+3 2.435160+3680023543 1929 5.852241+3 2.113650+3 6.240690+3 1.867350+3 6.983540+3 1.503360+3680023543 1930 7.598150+3 1.277740+3 8.094360+3 1.131030+3 8.900081+3 9.419460+2680023543 1931 9.786000+3 7.844700+2 1.088870+4 6.303510+2 1.179660+4 5.349790+2680023543 1932 1.252680+4 4.730460+2 1.370770+4 3.933250+2 1.500000+4 3.270400+2680023543 1933 1.611850+4 2.805110+2 1.795470+4 2.228300+2 2.000000+4 1.770100+2680023543 1934 2.213360+4 1.413510+2 2.388200+4 1.194050+2 2.528320+4 1.052130+2680023543 1935 2.754080+4 8.702290+1 3.000000+4 7.197800+1 3.197810+4 6.199610+1680023543 1936 3.381560+4 5.440430+1 3.728900+4 4.328670+1 4.012620+4 3.646650+1680023543 1937 4.239490+4 3.206640+1 4.604070+4 2.644130+1 5.000000+4 2.180300+1680023543 1938 5.302550+4 1.886570+1 5.582270+4 1.662210+1 6.107740+4 1.331860+1680023543 1939 6.534060+4 1.127940+1 6.873210+4 9.957680+0 7.415230+4 8.259720+0680023543 1940 8.000000+4 6.851300+0 8.653970+4 5.596210+0 9.269890+4 4.688130+0680023543 1941 9.844679+4 4.015290+0 1.037680+5 3.506270+0 1.137810+5 2.765790+0680023543 1942 1.219200+5 2.314990+0 1.284040+5 2.025800+0 1.387830+5 1.658320+0680023543 1943 1.500000+5 1.357500+0 1.635760+5 1.082200+0 1.764600+5 8.875290-1680023543 1944 1.885620+5 7.461420-1 1.998310+5 6.410340-1 2.102420+5 5.612840-1680023543 1945 2.297840+5 4.448470-1 2.456240+5 3.736650-1 2.582160+5 3.278580-1680023543 1946 2.783250+5 2.694580-1 3.000000+5 2.214600-1 3.223710+5 1.845200-1680023543 1947 3.402370+5 1.609180-1 3.689100+5 1.310520-1 4.000000+5 1.067300-1680023543 1948 4.207960+5 9.448670-2 4.598240+5 7.634280-2 4.914520+5 6.506030-2680023543 1949 5.165930+5 5.770680-2 5.567370+5 4.820520-2 6.000000+5 4.026800-2680023543 1950 6.447420+5 3.430280-2 6.804750+5 3.041630-2 7.378210+5 2.539640-2680023543 1951 8.000000+5 2.120500-2 8.458970+5 1.887400-2 9.197270+5 1.584910-2680023543 1952 1.000000+6 1.330900-2 1.022000+6 1.274340-2 1.130270+6 1.046700-2680023543 1953 1.250000+6 8.597230-3 1.369310+6 7.257150-3 1.500000+6 6.125950-3680023543 1954 1.611850+6 5.405870-3 1.795470+6 4.481290-3 2.000000+6 3.714850-3680023543 1955 2.044000+6 3.582580-3 2.249780+6 3.078630-3 2.417610+6 2.747770-3680023543 1956 2.693110+6 2.316930-3 3.000000+6 1.953640-3 3.464100+6 1.584960-3680023543 1957 4.000000+6 1.285850-3 4.472140+6 1.102760-3 5.000000+6 9.457430-4680023543 1958 5.477230+6 8.384720-4 6.000000+6 7.433680-4 7.000000+6 6.106060-4680023543 1959 8.000000+6 5.166280-4 9.000000+6 4.472140-4 1.000000+7 3.939100-4680023543 1960 1.100000+7 3.517940-4 1.200000+7 3.176340-4 1.300000+7 2.894410-4680023543 1961 1.400000+7 2.657730-4 1.500000+7 2.456350-4 1.600000+7 2.283310-4680023543 1962 1.800000+7 2.000380-4 2.000000+7 1.779610-4 2.200000+7 1.602090-4680023543 1963 2.400000+7 1.456900-4 2.600000+7 1.335580-4 2.800000+7 1.232650-4680023543 1964 3.000000+7 1.144640-4 3.464100+7 9.822010-5 4.000000+7 8.428150-5680023543 1965 4.472140+7 7.496550-5 5.000000+7 6.667930-5 6.000000+7 5.514350-5680023543 1966 6.928200+7 4.753550-5 8.000000+7 4.097720-5 8.944271+7 3.654590-5680023543 1967 1.000000+8 3.259380-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0680023543 1968 680023 0 1969 6.800000+4 1.658230+2 0 0 0 0680023544 1970 3.570400+2 0.000000+0 0 0 1 149680023544 1971 149 2 0 0 0 0680023544 1972 3.570400+2 0.000000+0 3.570400+2 6.976840+4 4.000000+2 6.719440+4680023544 1973 5.000000+2 6.567540+4 6.000000+2 6.231770+4 7.000000+2 5.756090+4680023544 1974 7.937250+2 5.221630+4 9.000000+2 4.736790+4 1.000000+3 4.273100+4680023544 1975 1.106680+3 3.782090+4 1.288420+3 3.149310+4 1.500000+3 2.622400+4680023544 1976 1.734650+3 2.119100+4 2.006000+3 1.712400+4 2.218340+3 1.446070+4680023544 1977 2.392220+3 1.273880+4 2.678930+3 1.053260+4 3.000000+3 8.708500+3680023544 1978 3.223710+3 7.613451+3 3.590940+3 6.223560+3 4.000000+3 5.087400+3680023544 1979 4.426730+3 4.138160+3 4.776390+3 3.544380+3 5.056650+3 3.155660+3680023544 1980 5.508170+3 2.651030+3 6.000000+3 2.227100+3 6.334960+3 1.972870+3680023544 1981 6.966760+3 1.595790+3 7.481630+3 1.361080+3 7.892600+3 1.208000+3680023544 1982 8.551781+3 1.010040+3 9.266000+3 8.445200+2 9.841071+3 7.291550+2680023544 1983 1.037350+4 6.412150+2 1.137540+4 5.120660+2 1.218980+4 4.325810+2680023544 1984 1.283870+4 3.811740+2 1.387730+4 3.152880+2 1.500000+4 2.607900+2680023544 1985 1.611850+4 2.162690+2 1.701190+4 1.879410+2 1.844550+4 1.522520+2680023544 1986 2.000000+4 1.233400+2 2.103980+4 1.073810+2 2.199390+4 9.512020+1680023544 1987 2.376880+4 7.693560+1 2.519330+4 6.561720+1 2.749180+4 5.168380+1680023544 1988 3.000000+4 4.070900+1 3.197810+4 3.386400+1 3.381560+4 2.882580+1680023544 1989 3.550980+4 2.503620+1 3.706180+4 2.213130+1 3.994270+4 1.783500+1680023544 1990 4.224940+4 1.516960+1 4.596160+4 1.189940+1 5.000000+4 9.334200+0680023544 1991 5.221370+4 8.191630+0 5.663190+4 6.412770+0 6.080350+4 5.176200+0680023544 1992 6.470500+4 4.291470+0 6.832350+4 3.642310+0 7.165540+4 3.155370+0680023544 1993 7.470379+4 2.783010+0 8.035390+4 2.233980+0 8.487020+4 1.894530+0680023544 1994 8.842329+4 1.674240+0 9.403360+4 1.390900+0 1.000000+5 1.155500+0680023544 1995 1.044270+5 1.012890+0 1.087560+5 8.952240-1 1.173610+5 7.101870-1680023544 1996 1.254480+5 5.799410-1 1.329790+5 4.857280-1 1.399390+5 4.159360-1680023544 1997 1.463280+5 3.631450-1 1.582170+5 2.863690-1 1.677630+5 2.396400-1680023544 1998 1.752990+5 2.096690-1 1.872430+5 1.715920-1 2.000000+5 1.404300-1680023544 1999 2.103980+5 1.209480-1 2.199390+5 1.061320-1 2.376880+5 8.443600-2680023544 2000 2.519330+5 7.112770-2 2.631750+5 6.254210-2 2.809850+5 5.156710-2680023544 2001 3.000000+5 4.251800-2 3.223710+5 3.470990-2 3.402370+5 2.981010-2680023544 2002 3.689100+5 2.372620-2 4.000000+5 1.888400-2 4.229490+5 1.624700-2680023544 2003 4.598630+5 1.296560-2 5.000000+5 1.034700-2 5.477230+5 8.181560-3680023544 2004 6.000000+5 6.469300-3 6.447420+5 5.431860-3 6.804750+5 4.764490-3680023544 2005 7.378210+5 3.913980-3 8.000000+5 3.215300-3 8.458970+5 2.836120-3680023544 2006 9.197270+5 2.349510-3 1.000000+6 1.946400-3 1.022000+6 1.860580-3680023544 2007 1.130270+6 1.524950-3 1.250000+6 1.249860-3 1.369310+6 1.058180-3680023544 2008 1.500000+6 8.959010-4 1.611850+6 7.905910-4 1.795470+6 6.553750-4680023544 2009 2.000000+6 5.432850-4 2.044000+6 5.239420-4 2.249780+6 4.502410-4680023544 2010 2.417610+6 4.018530-4 2.693110+6 3.388440-4 3.000000+6 2.857140-4680023544 2011 3.464100+6 2.317950-4 4.000000+6 1.880520-4 4.472140+6 1.612760-4680023544 2012 5.000000+6 1.383120-4 5.477230+6 1.226240-4 6.000000+6 1.087150-4680023544 2013 7.000000+6 8.929920-5 8.000000+6 7.555530-5 9.000000+6 6.540370-5680023544 2014 1.000000+7 5.760820-5 1.100000+7 5.144880-5 1.200000+7 4.645300-5680023544 2015 1.300000+7 4.232980-5 1.400000+7 3.886840-5 1.500000+7 3.592330-5680023544 2016 1.600000+7 3.339270-5 1.800000+7 2.925490-5 2.000000+7 2.602620-5680023544 2017 2.200000+7 2.343010-5 2.400000+7 2.130670-5 2.600000+7 1.953240-5680023544 2018 2.800000+7 1.802710-5 3.000000+7 1.674000-5 3.464100+7 1.436440-5680023544 2019 4.000000+7 1.232590-5 4.472140+7 1.096350-5 5.000000+7 9.751650-6680023544 2020 6.000000+7 8.064560-6 6.928200+7 6.951920-6 8.000000+7 5.992790-6680023544 2021 8.944271+7 5.344720-6 1.000000+8 4.766740-6 0.000000+0 0.000000+0680023544 2022 680023 0 2023 6.800000+4 1.658230+2 0 0 0 0680023545 2024 3.129700+2 0.000000+0 0 0 1 155680023545 2025 155 2 0 0 0 0680023545 2026 3.129700+2 0.000000+0 3.129700+2 2.854380+5 3.641800+2 2.589470+5680023545 2027 4.455900+2 2.352140+5 5.000000+2 2.183530+5 6.000000+2 1.888270+5680023545 2028 6.928200+2 1.627540+5 8.000000+2 1.402810+5 8.944270+2 1.220570+5680023545 2029 1.000000+3 1.062000+5 1.106680+3 9.156100+4 1.194100+3 8.192179+4680023545 2030 1.338340+3 6.933200+4 1.500000+3 5.867700+4 1.648470+3 5.001140+4680023545 2031 1.769380+3 4.436280+4 1.967590+3 3.706340+4 2.188000+3 3.096500+4680023545 2032 2.367640+3 2.669990+4 2.665130+3 2.137810+4 3.000000+3 1.711700+4680023545 2033 3.223710+3 1.479740+4 3.590940+3 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6.057630+2-4.406490+1 7.840170+2-4.023000+1680027506 2895 9.580080+2-3.877770+1 1.090550+3-3.891400+1 1.194100+3-4.033490+1680027506 2896 1.264160+3-4.207330+1 1.321840+3-4.445860+1 1.365970+3-4.791820+1680027506 2897 1.387650+3-5.110160+1 1.395880+3-5.291100+1 1.401860+3-5.445790+1680027506 2898 1.407570+3-5.591830+1 1.413810+3-5.718750+1 1.425160+3-5.840190+1680027506 2899 1.440470+3-5.885230+1 1.459420+3-5.725070+1 1.471590+3-5.523900+1680027506 2900 1.495510+3-5.103650+1 1.510850+3-4.816640+1 1.531900+3-4.457530+1680027506 2901 1.563310+3-4.041660+1 1.609930+3-3.647130+1 1.667190+3-3.346240+1680027506 2902 1.712700+3-3.247220+1 1.751000+3-3.238130+1 1.773820+3-3.342060+1680027506 2903 1.784930+3-3.418170+1 1.796450+3-3.444470+1 1.809870+3-3.355650+1680027506 2904 1.818180+3-3.265770+1 1.832530+3-3.125290+1 1.843220+3-3.043050+1680027506 2905 1.877840+3-2.881440+1 1.934750+3-2.722890+1 1.967080+3-2.718170+1680027506 2906 1.991650+3-2.727320+1 2.012750+3-2.631290+1 2.050430+3-2.455770+1680027506 2907 2.111730+3-2.315670+1 2.158910+3-2.283460+1 2.188800+3-2.282790+1680027506 2908 2.215750+3-2.173960+1 2.248570+3-2.043440+1 2.308250+3-1.899210+1680027506 2909 2.423500+3-1.700350+1 2.607330+3-1.486510+1 2.844140+3-1.296570+1680027506 2910 3.109840+3-1.147940+1 3.445020+3-1.042430+1 3.841410+3-9.721330+0680027506 2911 4.358270+3-9.271540+0 4.837620+3-9.291070+0 5.415170+3-9.564800+0680027506 2912 6.028330+3-1.018800+1 6.672260+3-1.121380+1 7.116451+3-1.231870+1680027506 2913 7.370610+3-1.321690+1 7.656800+3-1.445220+1 7.813190+3-1.537700+1680027506 2914 7.956870+3-1.657730+1 8.066600+3-1.781140+1 8.151670+3-1.932560+1680027506 2915 8.195270+3-2.048310+1 8.217531+3-2.122150+1 8.233020+3-2.179230+1680027506 2916 8.252960+3-2.256900+1 8.264401+3-2.302040+1 8.279010+3-2.357310+1680027506 2917 8.295040+3-2.411990+1 8.313040+3-2.460740+1 8.345850+3-2.495770+1680027506 2918 8.382691+3-2.447610+1 8.415510+3-2.352220+1 8.439121+3-2.256720+1680027506 2919 8.484520+3-2.094980+1 8.527810+3-1.966370+1 8.568390+3-1.877860+1680027506 2920 8.644470+3-1.767140+1 8.792510+3-1.645150+1 8.932081+3-1.597460+1680027506 2921 9.046821+3-1.602850+1 9.139380+3-1.672170+1 9.182571+3-1.724400+1680027506 2922 9.236621+3-1.783790+1 9.275130+3-1.789580+1 9.327930+3-1.736190+1680027506 2923 9.377640+3-1.651440+1 9.459901+3-1.524630+1 9.522050+3-1.466450+1680027506 2924 9.595161+3-1.444490+1 9.676201+3-1.436810+1 9.716050+3-1.416550+1680027506 2925 9.769541+3-1.356030+1 9.830420+3-1.266800+1 9.900661+3-1.164040+1680027506 2926 9.973621+3-1.080410+1 1.012980+4-9.519020+0 1.036020+4-8.047460+0680027506 2927 1.061190+4-6.905010+0 1.101780+4-5.415320+0 1.133360+4-4.552640+0680027506 2928 1.164290+4-3.838500+0 1.197170+4-3.195370+0 1.220740+4-2.816850+0680027506 2929 1.289130+4-1.944520+0 1.305470+4-1.789180+0 1.337370+4-1.554620+0680027506 2930 1.390290+4-1.181580+0 1.435620+4-9.193430-1 1.460550+4-7.998360-1680027506 2931 1.480420+4-7.088230-1 1.500000+4-6.091030-1 1.554920+4-3.849780-1680027506 2932 1.590260+4-2.477410-1 1.608560+4-1.984650-1 1.644210+4-1.171390-1680027506 2933 1.655920+4-9.632460-2 1.672130+4-6.587380-2 1.692280+4-2.908900-2680027506 2934 1.701190+4-1.625150-2 1.713300+4 7.586010-4 1.720250+4 1.121280-2680027506 2935 1.727070+4 1.797940-2 1.736010+4 2.526540-2 1.766950+4 5.173940-2680027506 2936 1.846890+4 1.244320-1 1.875110+4 1.509150-1 1.888550+4 1.592380-1680027506 2937 1.932550+4 1.726750-1 2.000000+4 1.732330-1 2.051330+4 1.690210-1680027506 2938 2.137340+4 1.691660-1 2.170350+4 1.665030-1 2.244660+4 1.421270-1680027506 2939 2.299120+4 1.297140-1 2.325560+4 1.222490-1 2.361830+4 1.073560-1680027506 2940 2.408980+4 8.573320-2 2.418670+4 8.001250-2 2.450060+4 5.878780-2680027506 2941 2.463900+4 4.659740-2 2.477170+4 3.403660-2 2.511630+4 7.772750-3680027506 2942 2.527490+4-4.400150-3 2.566740+4-3.316190-2 2.602970+4-5.880360-2680027506 2943 2.631750+4-8.002430-2 2.659580+4-1.005620-1 2.669010+4-1.083460-1680027506 2944 2.686500+4-1.251770-1 2.713780+4-1.473010-1 2.914550+4-2.909800-1680027506 2945 2.962970+4-3.341440-1 3.065690+4-4.111860-1 3.164470+4-4.815880-1680027506 2946 3.478140+4-7.380520-1 3.778610+4-9.715890-1 4.000000+4-1.175540+0680027506 2947 4.239490+4-1.388160+0 4.572820+4-1.743710+0 4.826290+4-2.074530+0680027506 2948 4.984200+4-2.324800+0 5.263490+4-2.935210+0 5.388800+4-3.335630+0680027506 2949 5.537020+4-4.083290+0 5.591850+4-4.533060+0 5.630640+4-4.998860+0680027506 2950 5.647400+4-5.267010+0 5.661960+4-5.542660+0 5.673340+4-5.785170+0680027506 2951 5.685680+4-6.069790+0 5.692260+4-6.227690+0 5.700150+4-6.416570+0680027506 2952 5.710230+4-6.647440+0 5.721280+4-6.874840+0 5.733700+4-7.075430+0680027506 2953 5.755390+4-7.205540+0 5.777070+4-7.047010+0 5.801430+4-6.594110+0680027506 2954 5.817030+4-6.183270+0 5.847040+4-5.453470+0 5.861340+4-5.101580+0680027506 2955 5.904190+4-4.390190+0 5.984530+4-3.597150+0 6.060050+4-3.087840+0680027506 2956 6.177850+4-2.490790+0 6.272390+4-2.124610+0 6.412680+4-1.692240+0680027506 2957 6.546910+4-1.372420+0 6.681050+4-1.118270+0 6.820750+4-9.092510-1680027506 2958 7.198390+4-4.443030-1 7.390810+4-2.545610-1 7.485800+4-1.777490-1680027506 2959 7.760600+4-2.496610-2 7.794379+4-5.827880-3 7.895870+4 5.217060-2680027506 2960 8.053010+4 1.337650-1 8.131579+4 1.673350-1 8.662850+4 3.296530-1680027506 2961 8.740920+4 3.464080-1 8.881179+4 3.653340-1 9.264710+4 4.469610-1680027506 2962 9.439590+4 4.727770-1 9.594100+4 4.794600-1 1.012610+5 5.432850-1680027506 2963 1.025910+5 5.505540-1 1.039950+5 5.494100-1 1.095340+5 5.802640-1680027506 2964 1.129770+5 5.797350-1 1.182970+5 5.919770-1 1.236500+5 5.884270-1680027506 2965 1.283370+5 5.940100-1 1.426650+5 5.601270-1 1.527210+5 5.322410-1680027506 2966 1.655920+5 5.001460-1 1.773480+5 4.624750-1 1.896570+5 4.316060-1680027506 2967 2.102420+5 3.819800-1 2.220390+5 3.539980-1 2.391140+5 3.185660-1680027506 2968 2.550860+5 2.878240-1 2.791140+5 2.506330-1 3.054430+5 2.169600-1680027506 2969 3.294280+5 1.904330-1 3.570100+5 1.647660-1 3.782110+5 1.472790-1680027506 2970 4.113140+5 1.223170-1 4.589650+5 9.666150-2 5.028810+5 7.836340-2680027506 2971 5.504060+5 6.141660-2 5.636470+5 5.696120-2 6.219690+5 4.323820-2680027506 2972 6.388780+5 3.951890-2 6.966420+5 2.970540-2 7.093720+5 2.770170-2680027506 2973 7.787120+5 1.819620-2 8.242880+5 1.342820-2 8.687590+5 9.008390-3680027506 2974 8.944270+5 7.094660-3 9.197270+5 5.296150-3 9.739940+5 1.534170-3680027506 2975 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0680027506 2976 680027 0 2977 6800 0 0 2978 0 0 0 2979 6.900000+4 1.674830+2 -1 0 2 26900 1451 1 0.000000+0 0.000000+0 0 0 0 66900 1451 2 0.000000+0 0.000000+0 0 0 3 26900 1451 3 0.000000+0 0.000000+0 0 0 144 326900 1451 4 69-TM LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 6900 1451 6 ----JEF-2 MATERIAL 6900 REVISION 0 6900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6900 1451 8 ------ENDF-6 FORMAT 6900 1451 9 ******************************************************************6900 1451 10 * JEF-2 *6900 1451 11 * DATA TAKEN FROM EPDL *6900 1451 12 ******************************************************************6900 1451 13 =================================================================6900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6900 1451 15 ENDF/B-VI FORMAT 6900 1451 16 =================================================================6900 1451 17 CONTENTS 6900 1451 18 =================================================================6900 1451 19 MF/MT DESCRIPTION 6900 1451 20 =================================================================6900 1451 21 23/501 TOTAL CROSS SECTION 6900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 6900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 48 =================================================================6900 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 6900 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 6900 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6900 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 6900 1451 53 =================================================================6900 1451 54 WARNING 6900 1451 55 =================================================================6900 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6900 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6900 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6900 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6900 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6900 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6900 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6900 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6900 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6900 1451 65 =================================================================6900 1451 66 DEFINITION OF NEW TYPES OF DATA 6900 1451 67 =================================================================6900 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6900 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6900 1451 70 6900 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6900 1451 72 C2 FIELDS ARE, 6900 1451 73 6900 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6900 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6900 1451 76 6900 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6900 1451 78 6900 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6900 1451 80 6900 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6900 1451 82 T = THE THOMSON CROSS SECTION 6900 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 6900 1451 84 FF(M) = THE ATOMIC FORM FACTOR 6900 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6900 1451 86 F1(E) = THE REAL SCATTERING FACTOR 6900 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 6900 1451 88 6900 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 6900 1451 90 6900 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6900 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6900 1451 93 =================================================================6900 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6900 1451 95 =================================================================6900 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6900 1451 97 HERE - 10 EV TO 100 MEV 6900 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6900 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 6900 1451 100 HERE - PHOTON INTERACTION 6900 1451 101 - AVERAGE FLUORESCENCE YIELD 6900 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6900 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6900 1451 104 HERE - NO SECONDARY ENERGY DATA 6900 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6900 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 6900 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 6900 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 6900 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6900 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE6900 1451 111 (SINCE THEY CAN BE NEGATIVE). 6900 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6900 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 6900 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 6900 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 6900 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 6900 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6900 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE6900 1451 119 =================================================================6900 1451 120 REFERENCES 6900 1451 121 =================================================================6900 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6900 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6900 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6900 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6900 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6900 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6900 1451 128 6900 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6900 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6900 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6900 1451 132 OF THE DATA, ETC. 6900 1451 133 =================================================================6900 1451 134 HISTORY 6900 1451 135 =================================================================6900 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 6900 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 6900 1451 138 CROSS SECTIONS. 6900 1451 139 =================================================================6900 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6900 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 6900 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6900 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6900 1451 144 *RECONSTRUCTED MT NUMBERS 6900 1451 145 516 =+(515,515)+(517,517) 6900 1451 146 522 =+(534,572) 6900 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6900 1451 148 1 451 180 16900 1451 149 23 501 569 16900 1451 150 23 502 142 16900 1451 151 23 504 30 16900 1451 152 23 515 30 16900 1451 153 23 516 59 16900 1451 154 23 517 42 16900 1451 155 23 522 394 26900 1451 156 23 534 33 26900 1451 157 23 535 40 26900 1451 158 23 536 44 26900 1451 159 23 537 46 26900 1451 160 23 538 44 26900 1451 161 23 539 47 26900 1451 162 23 540 50 26900 1451 163 23 541 61 26900 1451 164 23 542 63 26900 1451 165 23 543 50 26900 1451 166 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7.555020+3 1.341210+3 8.041480+3 1.189790+3690023543 1905 8.830531+3 9.941090+2 9.697000+3 8.306100+2 1.081440+4 6.649280+2690023543 1906 1.173610+4 5.627400+2 1.247860+4 4.965440+2 1.368130+4 4.115590+2690023543 1907 1.500000+4 3.411200+2 1.611850+4 2.927500+2 1.795470+4 2.327450+2690023543 1908 2.000000+4 1.850400+2 2.213360+4 1.478860+2 2.388200+4 1.250040+2690023543 1909 2.528320+4 1.101970+2 2.754080+4 9.120980+1 3.000000+4 7.549400+1690023543 1910 3.197810+4 6.506140+1 3.381560+4 5.712260+1 3.728900+4 4.548890+1690023543 1911 4.012620+4 3.834680+1 4.239490+4 3.373620+1 4.604070+4 2.783860+1690023543 1912 5.000000+4 2.297200+1 5.302550+4 1.988800+1 5.582270+4 1.753120+1690023543 1913 6.107740+4 1.405870+1 6.534060+4 1.191360+1 6.873210+4 1.052250+1690023543 1914 7.415230+4 8.734370+0 8.000000+4 7.250100+0 8.653970+4 5.926160+0690023543 1915 9.269890+4 4.967620+0 9.844679+4 4.256990+0 1.037680+5 3.719090+0690023543 1916 1.137810+5 2.936110+0 1.219200+5 2.459080+0 1.284040+5 2.152900+0690023543 1917 1.387830+5 1.763600+0 1.500000+5 1.444700+0 1.635760+5 1.152560+0690023543 1918 1.764600+5 9.458280-1 1.885620+5 7.955970-1 1.998310+5 6.838540-1690023543 1919 2.102420+5 5.990330-1 2.297840+5 4.751190-1 2.456240+5 3.993160-1690023543 1920 2.582160+5 3.505110-1 2.783250+5 2.882570-1 3.000000+5 2.370600-1690023543 1921 3.223710+5 1.976180-1 3.402370+5 1.724060-1 3.689100+5 1.404890-1690023543 1922 4.000000+5 1.144800-1 4.207960+5 1.013760-1 4.598240+5 8.194880-2690023543 1923 4.914520+5 6.986330-2 5.165930+5 6.198380-2 5.567370+5 5.179920-2690023543 1924 6.000000+5 4.328800-2 6.447420+5 3.688420-2 6.804750+5 3.271110-2690023543 1925 7.378210+5 2.731970-2 8.000000+5 2.281700-2 8.458970+5 2.031070-2690023543 1926 9.197270+5 1.705790-2 1.000000+6 1.432600-2 1.022000+6 1.371760-2690023543 1927 1.130270+6 1.126840-2 1.250000+6 9.256570-3 1.369310+6 7.813510-3690023543 1928 1.500000+6 6.595420-3 1.611850+6 5.819360-3 1.795470+6 4.823070-3690023543 1929 2.000000+6 3.997350-3 2.044000+6 3.855020-3 2.249780+6 3.312440-3690023543 1930 2.417610+6 2.956230-3 2.693110+6 2.492440-3 3.000000+6 2.101410-3690023543 1931 3.464100+6 1.704300-3 4.000000+6 1.382230-3 4.472140+6 1.185560-3690023543 1932 5.000000+6 1.016880-3 5.477230+6 9.013060-4 6.000000+6 7.988680-4690023543 1933 7.000000+6 6.555330-4 8.000000+6 5.547970-4 9.000000+6 4.803230-4690023543 1934 1.000000+7 4.230390-4 1.100000+7 3.777330-4 1.200000+7 3.410480-4690023543 1935 1.300000+7 3.107770-4 1.400000+7 2.853670-4 1.500000+7 2.637170-4690023543 1936 1.600000+7 2.451230-4 1.800000+7 2.147520-4 2.000000+7 1.909970-4690023543 1937 2.200000+7 1.719520-4 2.400000+7 1.563660-4 2.600000+7 1.433350-4690023543 1938 2.800000+7 1.323090-4 3.000000+7 1.228370-4 3.464100+7 1.054140-4690023543 1939 4.000000+7 9.046150-5 4.472140+7 8.046180-5 5.000000+7 7.156740-5690023543 1940 6.000000+7 5.918840-5 6.928200+7 5.101070-5 8.000000+7 4.396280-5690023543 1941 8.944271+7 3.920760-5 1.000000+8 3.496680-5 0.000000+0 0.000000+0690023543 1942 690023 0 1943 6.900000+4 1.674830+2 0 0 0 0690023544 1944 3.713700+2 0.000000+0 0 0 1 145690023544 1945 145 2 0 0 0 0690023544 1946 3.713700+2 0.000000+0 3.713700+2 6.670490+4 4.628000+2 6.361020+4690023544 1947 6.000000+2 6.057170+4 7.000000+2 5.653350+4 9.000000+2 4.715790+4690023544 1948 1.000000+3 4.274000+4 1.100730+3 3.824300+4 1.271170+3 3.236890+4690023544 1949 1.468000+3 2.739700+4 1.603540+3 2.411930+4 1.830690+3 1.992310+4690023544 1950 2.090000+3 1.645700+4 2.287650+3 1.415470+4 2.448060+3 1.264200+4690023544 1951 2.710020+3 1.067050+4 3.000000+3 9.006500+3 3.223710+3 7.885891+3690023544 1952 3.590940+3 6.460900+3 4.000000+3 5.293400+3 4.426730+3 4.313930+3690023544 1953 4.776390+3 3.700210+3 5.353350+3 2.939390+3 6.000000+3 2.335000+3690023544 1954 6.583670+3 1.903910+3 7.058400+3 1.633670+3 7.835431+3 1.298500+3690023544 1955 8.698000+3 1.032100+3 9.395991+3 8.626140+2 1.015000+4 7.209600+2690023544 1956 1.065780+4 6.400310+2 1.160850+4 5.196480+2 1.237670+4 4.444670+2690023544 1957 1.362530+4 3.515900+2 1.500000+4 2.781200+2 1.611850+4 2.309440+2690023544 1958 1.701190+4 2.008920+2 1.844550+4 1.629840+2 2.000000+4 1.322300+2690023544 1959 2.103980+4 1.152220+2 2.299120+4 9.055100+1 2.457260+4 7.558090+1690023544 1960 2.582970+4 6.600110+1 2.783680+4 5.385920+1 3.000000+4 4.395100+1690023544 1961 3.197810+4 3.660040+1 3.381560+4 3.118450+1 3.550980+4 2.710720+1690023544 1962 3.706180+4 2.397940+1 3.994270+4 1.934880+1 4.224940+4 1.647280+1690023544 1963 4.596160+4 1.294010+1 5.000000+4 1.016500+1 5.221370+4 8.926540+0690023544 1964 5.663190+4 6.996600+0 6.080350+4 5.653480+0 6.470500+4 4.691540+0690023544 1965 6.832350+4 3.985120+0 7.165540+4 3.454820+0 7.470379+4 3.049030+0690023544 1966 8.035390+4 2.450190+0 8.487020+4 2.079600+0 8.842329+4 1.838920+0690023544 1967 9.403360+4 1.529110+0 1.000000+5 1.271500+0 1.044270+5 1.115170+0690023544 1968 1.087560+5 9.861120-1 1.173610+5 7.830220-1 1.254480+5 6.399420-1690023544 1969 1.329790+5 5.363660-1 1.399390+5 4.595860-1 1.463280+5 4.014760-1690023544 1970 1.582170+5 3.168990-1 1.677630+5 2.653800-1 1.752990+5 2.323150-1690023544 1971 1.872430+5 1.902800-1 2.000000+5 1.558500-1 2.103980+5 1.342970-1690023544 1972 2.199390+5 1.178970-1 2.376880+5 9.386910-2 2.519330+5 7.912000-2690023544 1973 2.631750+5 6.959990-2 2.809850+5 5.742390-2 3.000000+5 4.737800-2690023544 1974 3.223710+5 3.870100-2 3.402370+5 3.325300-2 3.689100+5 2.648470-2690023544 1975 4.000000+5 2.109400-2 4.229490+5 1.815550-2 4.598630+5 1.449720-2690023544 1976 5.000000+5 1.157600-2 5.477230+5 9.158080-3 6.000000+5 7.245200-3690023544 1977 6.447420+5 6.085640-3 6.804750+5 5.339470-3 7.378210+5 4.388200-3690023544 1978 8.000000+5 3.606400-3 8.458970+5 3.181770-3 9.197270+5 2.636690-3690023544 1979 1.000000+6 2.185000-3 1.022000+6 2.088770-3 1.130270+6 1.712120-3690023544 1980 1.250000+6 1.403390-3 1.369310+6 1.188150-3 1.500000+6 1.005930-3690023544 1981 1.611850+6 8.875660-4 1.795470+6 7.356130-4 2.000000+6 6.096750-4690023544 1982 2.044000+6 5.879660-4 2.249780+6 5.052120-4 2.417610+6 4.508840-4690023544 1983 2.693110+6 3.801470-4 3.000000+6 3.205070-4 3.464100+6 2.599400-4690023544 1984 4.000000+6 2.108180-4 4.472140+6 1.808220-4 5.000000+6 1.550940-4690023544 1985 5.477230+6 1.374670-4 6.000000+6 1.218430-4 7.000000+6 9.998180-5690023544 1986 8.000000+6 8.461760-5 9.000000+6 7.325890-5 1.000000+7 6.452190-5690023544 1987 1.100000+7 5.761180-5 1.200000+7 5.201650-5 1.300000+7 4.739960-5690023544 1988 1.400000+7 4.352420-5 1.500000+7 4.022200-5 1.600000+7 3.738620-5690023544 1989 1.800000+7 3.275400-5 2.000000+7 2.913080-5 2.200000+7 2.622610-5690023544 1990 2.400000+7 2.384890-5 2.600000+7 2.186150-5 2.800000+7 2.017980-5690023544 1991 3.000000+7 1.873510-5 3.464100+7 1.607770-5 4.000000+7 1.379720-5690023544 1992 4.472140+7 1.227200-5 5.000000+7 1.091540-5 6.000000+7 9.027410-6690023544 1993 6.928200+7 7.780140-6 8.000000+7 6.705200-6 8.944271+7 5.979940-6690023544 1994 1.000000+8 5.333130-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0690023544 1995 690023 0 1996 6.900000+4 1.674830+2 0 0 0 0690023545 1997 3.238700+2 0.000000+0 0 0 1 154690023545 1998 154 2 0 0 0 0690023545 1999 3.238700+2 0.000000+0 3.238700+2 2.804600+5 3.787900+2 2.526300+5690023545 2000 5.000000+2 2.181790+5 6.000000+2 1.898820+5 6.928200+2 1.643450+5690023545 2001 8.000000+2 1.422420+5 8.944270+2 1.240760+5 1.000000+3 1.082300+5690023545 2002 1.111630+3 9.286140+4 1.203450+3 8.278479+4 1.355610+3 6.968260+4690023545 2003 1.527000+3 5.865400+4 1.651640+3 5.144610+4 1.857940+3 4.226050+4690023545 2004 2.090000+3 3.471500+4 2.287650+3 2.937440+4 2.448060+3 2.591530+4690023545 2005 2.710020+3 2.147530+4 3.000000+3 1.779600+4 3.223710+3 1.540020+4690023545 2006 3.590940+3 1.239740+4 4.000000+3 9.980100+3 4.426730+3 8.008500+3690023545 2007 4.776390+3 6.789910+3 5.056650+3 5.999270+3 5.508170+3 4.982530+3690023545 2008 6.000000+3 4.138100+3 6.583670+3 3.328270+3 7.058400+3 2.826720+3690023545 2009 7.436770+3 2.500810+3 8.042701+3 2.081020+3 8.698000+3 1.731700+3690023545 2010 9.395991+3 1.430990+3 1.015000+4 1.182500+3 1.065780+4 1.042210+3690023545 2011 1.160850+4 8.355480+2 1.237670+4 7.079200+2 1.298600+4 6.251640+2690023545 2012 1.395670+4 5.188110+2 1.500000+4 4.305500+2 1.611850+4 3.536200+2690023545 2013 1.701190+4 3.050860+2 1.844550+4 2.444840+2 2.000000+4 1.959200+2690023545 2014 2.103980+4 1.693470+2 2.199390+4 1.490700+2 2.376880+4 1.192500+2690023545 2015 2.519330+4 1.008700+2 2.631750+4 8.896930+1 2.809850+4 7.369800+1690023545 2016 3.000000+4 6.104800+1 3.223710+4 4.919090+1 3.402370+4 4.183550+1690023545 2017 3.689100+4 3.281210+1 4.000000+4 2.573500+1 4.207960+4 2.198240+1690023545 2018 4.398770+4 1.915060+1 4.753750+4 1.504430+1 5.038660+4 1.255340+1690023545 2019 5.263490+4 1.095990+1 5.619690+4 8.940690+0 6.000000+4 7.293500+0690023545 2020 6.395620+4 5.942160+0 6.763120+4 4.966800+0 7.101970+4 4.245630+0690023545 2021 7.412360+4 3.701050+0 7.988540+4 2.910680+0 8.449879+4 2.430780+0690023545 2022 8.813290+4 2.123540+0 9.387910+4 1.733930+0 1.000000+5 1.415800+0690023545 2023 1.044270+5 1.230570+0 1.087560+5 1.079000+0 1.173610+5 8.432950-1690023545 2024 1.254480+5 6.797040-1 1.329790+5 5.628170-1 1.399390+5 4.771540-1690023545 2025 1.463280+5 4.129650-1 1.521560+5 3.639250-1 1.629200+5 2.916980-1690023545 2026 1.714900+5 2.471010-1 1.782120+5 2.181880-1 1.887920+5 1.810360-1690023545 2027 2.000000+5 1.502100-1 2.103980+5 1.282300-1 2.199390+5 1.116520-1690023545 2028 2.376880+5 8.763040-2 2.519330+5 7.307110-2 2.631750+5 6.376220-2690023545 2029 2.809850+5 5.197450-2 3.000000+5 4.236600-2 3.223710+5 3.423900-2690023545 2030 3.402370+5 2.918420-2 3.689100+5 2.296620-2 4.000000+5 1.807300-2690023545 2031 4.229490+5 1.545760-2 4.598630+5 1.222670-2 5.000000+5 9.671100-3690023545 2032 5.233180+5 8.569130-3 5.603490+5 7.147070-3 6.000000+5 5.961000-3690023545 2033 6.447420+5 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1.557640+4-6.065910-1 1.569680+4-5.666990-1690027506 2907 1.615700+4-3.957520-1 1.631460+4-3.445420-1 1.663760+4-2.597840-1690027506 2908 1.679910+4-2.207130-1 1.714410+4-1.547650-1 1.749570+4-7.688500-2690027506 2909 1.774910+4-3.246480-2 1.798500+4 8.082980-3 1.799120+4 9.170990-3690027506 2910 1.803630+4 1.548830-2 1.810760+4 2.469490-2 1.813200+4 2.662250-2690027506 2911 1.846890+4 5.695630-2 1.896570+4 1.050360-1 1.948870+4 1.584320-1690027506 2912 1.957360+4 1.646410-1 2.051330+4 1.732760-1 2.103980+4 1.800070-1690027506 2913 2.151150+4 1.877660-1 2.160020+4 1.885280-1 2.186690+4 1.860780-1690027506 2914 2.247480+4 1.610420-1 2.330480+4 1.414640-1 2.383480+4 1.241640-1690027506 2915 2.403910+4 1.163960-1 2.430590+4 1.026410-1 2.489320+4 6.188950-2690027506 2916 2.499060+4 5.686220-2 2.539660+4 3.176340-2 2.566740+4 1.342410-2690027506 2917 2.631750+4-2.966890-2 2.657630+4-4.624160-2 2.688050+4-6.833600-2690027506 2918 2.699710+4-7.630470-2 2.730670+4-1.027580-1 2.762420+4-1.256670-1690027506 2919 2.853300+4-1.846580-1 2.963810+4-2.530650-1 3.048270+4-3.150930-1690027506 2920 3.143930+4-3.836480-1 3.208850+4-4.331890-1 3.325390+4-5.147780-1690027506 2921 3.411810+4-5.833680-1 3.545560+4-6.963570-1 3.862150+4-9.381210-1690027506 2922 4.018330+4-1.068470+0 4.314830+4-1.321380+0 4.716500+4-1.723000+0690027506 2923 4.983490+4-2.059580+0 5.148980+4-2.313380+0 5.437800+4-2.922820+0690027506 2924 5.567940+4-3.324310+0 5.721100+4-4.072220+0 5.778410+4-4.528070+0690027506 2925 5.818340+4-4.993480+0 5.835580+4-5.261420+0 5.850570+4-5.536780+0690027506 2926 5.862290+4-5.778680+0 5.874980+4-6.062080+0 5.881760+4-6.219030+0690027506 2927 5.889880+4-6.406450+0 5.900250+4-6.634910+0 5.911630+4-6.858860+0690027506 2928 5.924410+4-7.053040+0 5.952900+4-7.151840+0 5.976520+4-6.926110+0690027506 2929 6.000000+4-6.421520+0 6.025310+4-5.814320+0 6.041330+4-5.416030+0690027506 2930 6.069360+4-4.850780+0 6.106590+4-4.304240+0 6.176390+4-3.633810+0690027506 2931 6.246270+4-3.160590+0 6.353640+4-2.606890+0 6.504700+4-2.033010+0690027506 2932 6.665040+4-1.609910+0 6.852970+4-1.231670+0 7.134860+4-7.664630-1690027506 2933 7.284900+4-5.742790-1 7.416760+4-4.415280-1 7.675740+4-2.228250-1690027506 2934 7.805229+4-1.265420-1 8.035390+4-9.214530-3 8.087250+4 1.713000-2690027506 2935 8.269470+4 1.104070-1 8.445400+4 1.872520-1 8.520540+4 2.138470-1690027506 2936 8.684120+4 2.453400-1 9.004579+4 3.318540-1 9.103570+4 3.556560-1690027506 2937 9.208429+4 3.729130-1 9.290170+4 3.757540-1 9.645650+4 4.337280-1690027506 2938 9.880970+4 4.687330-1 1.009980+5 4.788470-1 1.058540+5 5.240440-1690027506 2939 1.067890+5 5.285470-1 1.078450+5 5.263360-1 1.162780+5 5.796050-1690027506 2940 1.218350+5 5.820910-1 1.255090+5 5.884390-1 1.391330+5 5.728790-1690027506 2941 1.518160+5 5.437430-1 1.631610+5 5.133090-1 1.771420+5 4.772260-1690027506 2942 1.887920+5 4.437460-1 2.002750+5 4.167040-1 2.199390+5 3.720410-1690027506 2943 2.359340+5 3.364290-1 2.528320+5 3.031780-1 2.680820+5 2.759020-1690027506 2944 2.915270+5 2.413790-1 3.109840+5 2.170080-1 3.402370+5 1.861470-1690027506 2945 3.883760+5 1.443140-1 4.248650+5 1.195560-1 4.648140+5 9.832300-2690027506 2946 5.051610+5 8.072590-2 5.504060+5 6.396070-2 5.635960+5 5.929660-2690027506 2947 6.219690+5 4.503520-2 6.437800+5 4.024320-2 7.085680+5 2.892180-2690027506 2948 7.798130+5 1.880720-2 8.242880+5 1.397690-2 8.687590+5 9.401000-3690027506 2949 9.197270+5 5.491360-3 9.733990+5 1.629580-3 1.000000+6 0.000000+0690027506 2950 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0690027506 2951 690027 0 2952 6900 0 0 2953 0 0 0 2954 7.000000+4 1.715540+2 -1 0 2 27000 1451 1 0.000000+0 0.000000+0 0 0 0 67000 1451 2 0.000000+0 0.000000+0 0 0 3 27000 1451 3 0.000000+0 0.000000+0 0 0 144 327000 1451 4 70-YB LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7000 1451 6 ----JEF-2 MATERIAL 7000 REVISION 0 7000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7000 1451 8 ------ENDF-6 FORMAT 7000 1451 9 ******************************************************************7000 1451 10 * JEF-2 *7000 1451 11 * DATA TAKEN FROM EPDL *7000 1451 12 ******************************************************************7000 1451 13 =================================================================7000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7000 1451 15 ENDF/B-VI FORMAT 7000 1451 16 =================================================================7000 1451 17 CONTENTS 7000 1451 18 =================================================================7000 1451 19 MF/MT DESCRIPTION 7000 1451 20 =================================================================7000 1451 21 23/501 TOTAL CROSS SECTION 7000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 48 =================================================================7000 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 7000 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 7000 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7000 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 7000 1451 53 =================================================================7000 1451 54 WARNING 7000 1451 55 =================================================================7000 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7000 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7000 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7000 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7000 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7000 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7000 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7000 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7000 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7000 1451 65 =================================================================7000 1451 66 DEFINITION OF NEW TYPES OF DATA 7000 1451 67 =================================================================7000 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7000 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7000 1451 70 7000 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7000 1451 72 C2 FIELDS ARE, 7000 1451 73 7000 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7000 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7000 1451 76 7000 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7000 1451 78 7000 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7000 1451 80 7000 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7000 1451 82 T = THE THOMSON CROSS SECTION 7000 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 7000 1451 84 FF(M) = THE ATOMIC FORM FACTOR 7000 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7000 1451 86 F1(E) = THE REAL SCATTERING FACTOR 7000 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 7000 1451 88 7000 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 7000 1451 90 7000 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7000 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7000 1451 93 =================================================================7000 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7000 1451 95 =================================================================7000 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7000 1451 97 HERE - 10 EV TO 100 MEV 7000 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7000 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 7000 1451 100 HERE - PHOTON INTERACTION 7000 1451 101 - AVERAGE FLUORESCENCE YIELD 7000 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7000 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7000 1451 104 HERE - NO SECONDARY ENERGY DATA 7000 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7000 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 7000 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 7000 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 7000 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7000 1451 110 - SCATTERING FACTORS LINEARLY INTERPOLABLE7000 1451 111 (SINCE THEY CAN BE NEGATIVE). 7000 1451 112 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7000 1451 113 ORDER TO ALLOW CROSS SECTIONS DEFINED 7000 1451 114 BY SUMMATION (E.G., TOTAL) TO BE 7000 1451 115 CONSISTENTLY DEFINED AT ALL ENERGIES. 7000 1451 116 - FORM FACTORS ARE LOG X VS. LOG Y 7000 1451 117 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7000 1451 118 - SCATTERING FACTORS LINEARLY INTERPOLABLE7000 1451 119 =================================================================7000 1451 120 REFERENCES 7000 1451 121 =================================================================7000 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7000 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7000 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7000 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7000 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7000 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7000 1451 128 7000 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7000 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7000 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7000 1451 132 OF THE DATA, ETC. 7000 1451 133 =================================================================7000 1451 134 HISTORY 7000 1451 135 =================================================================7000 1451 136 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7000 1451 137 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7000 1451 138 CROSS SECTIONS. 7000 1451 139 =================================================================7000 1451 140 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7000 1451 141 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7000 1451 142 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7000 1451 143 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7000 1451 144 *RECONSTRUCTED MT NUMBERS 7000 1451 145 516 =+(515,515)+(517,517) 7000 1451 146 522 =+(534,572) 7000 1451 147 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7000 1451 148 1 451 180 17000 1451 149 23 501 559 17000 1451 150 23 502 142 17000 1451 151 23 504 30 17000 1451 152 23 515 30 17000 1451 153 23 516 59 17000 1451 154 23 517 42 17000 1451 155 23 522 383 27000 1451 156 23 534 32 27000 1451 157 23 535 39 27000 1451 158 23 536 44 27000 1451 159 23 537 46 27000 1451 160 23 538 44 27000 1451 161 23 539 48 27000 1451 162 23 540 50 27000 1451 163 23 541 60 27000 1451 164 23 542 62 27000 1451 165 23 543 49 27000 1451 166 23 544 52 27000 1451 167 23 545 54 27000 1451 168 23 546 69 27000 1451 169 23 547 69 27000 1451 170 23 548 83 27000 1451 171 23 549 81 27000 1451 172 23 550 55 27000 1451 173 23 551 64 27000 1451 174 23 552 65 27000 1451 175 23 559 63 27000 1451 176 27 502 53 17000 1451 177 27 504 49 17000 1451 178 27 505 117 17000 1451 179 27 506 117 17000 1451 180 7000 1 0 181 7000 0 0 182 7.000000+4 1.715540+2 0 0 0 0700023501 183 0.000000+0 0.000000+0 0 0 1 1666700023501 184 1666 2 0 0 0 0700023501 185 1.000000+1 1.638220+6 1.037600+1 1.491650+6 1.042750+1 1.471580+6700023501 186 1.063480+1 1.397670+6 1.076610+1 1.355670+6 1.081650+1 1.339540+6700023501 187 1.099910+1 1.285470+6 1.109000+1 1.258550+6 1.109000+1 2.136240+6700023501 188 1.116870+1 2.103750+6 1.127130+1 2.063900+6 1.131000+1 2.048860+6700023501 189 1.154780+1 1.975600+6 1.181300+1 1.893890+6 1.218190+1 1.788090+6700023501 190 1.218810+1 1.786310+6 1.232050+1 1.751790+6 1.256240+1 1.691750+6700023501 191 1.271540+1 1.662100+6 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1.688280+3 7.623600+3 1.369990+3700023543 1880 8.264701+3 1.171310+3 8.780661+3 1.041450+3 9.615630+3 8.731530+2700023543 1881 1.053000+4 7.320500+2 1.150390+4 6.110740+2 1.229290+4 5.336530+2700023543 1882 1.357920+4 4.355180+2 1.500000+4 3.554300+2 1.611850+4 3.052000+2700023543 1883 1.795470+4 2.428450+2 2.000000+4 1.932300+2 2.213360+4 1.545570+2700023543 1884 2.388200+4 1.307220+2 2.528320+4 1.152900+2 2.754080+4 9.549040+1700023543 1885 3.000000+4 7.909100+1 3.197810+4 6.819960+1 3.381560+4 5.990730+1700023543 1886 3.728900+4 4.774760+1 4.012620+4 4.027680+1 4.239490+4 3.545140+1700023543 1887 4.604070+4 2.927520+1 5.000000+4 2.417500+1 5.302550+4 2.094070+1700023543 1888 5.582270+4 1.846780+1 6.107740+4 1.482190+1 6.534060+4 1.256810+1700023543 1889 6.873210+4 1.110570+1 7.415230+4 9.224820+0 8.000000+4 7.662500+0700023543 1890 8.653970+4 6.267710+0 9.269890+4 5.257210+0 9.844679+4 4.507600+0700023543 1891 1.037680+5 3.939920+0 1.137810+5 3.113040+0 1.219200+5 2.608900+0700023543 1892 1.284040+5 2.285140+0 1.387830+5 1.873250+0 1.500000+5 1.535600+0700023543 1893 1.635760+5 1.225960+0 1.764600+5 1.006710+0 1.885620+5 8.472740-1700023543 1894 1.998310+5 7.286270-1 2.102420+5 6.385230-1 2.297840+5 5.068170-1700023543 1895 2.456240+5 4.261940-1 2.582160+5 3.742610-1 2.783250+5 3.079820-1700023543 1896 3.000000+5 2.534400-1 3.223710+5 2.113800-1 3.402370+5 1.844830-1700023543 1897 3.689100+5 1.504160-1 4.000000+5 1.226400-1 4.207960+5 1.086320-1700023543 1898 4.598240+5 8.785670-2 4.914520+5 7.492700-2 5.165930+5 6.649450-2700023543 1899 5.567370+5 5.559140-2 6.000000+5 4.647600-2 6.447420+5 3.961010-2700023543 1900 6.804750+5 3.513490-2 7.378210+5 2.935210-2 8.000000+5 2.452100-2700023543 1901 8.458970+5 2.182940-2 9.197270+5 1.833560-2 1.000000+6 1.540100-2700023543 1902 1.022000+6 1.474710-2 1.130270+6 1.211430-2 1.250000+6 9.951590-3700023543 1903 1.369310+6 8.399710-3 1.500000+6 7.089830-3 1.611850+6 6.255160-3700023543 1904 1.795470+6 5.183720-3 2.000000+6 4.295810-3 2.044000+6 4.142810-3700023543 1905 2.249780+6 3.559310-3 2.417610+6 3.176270-3 2.693110+6 2.677610-3700023543 1906 3.000000+6 2.257230-3 3.464100+6 1.830300-3 4.000000+6 1.484120-3700023543 1907 4.472140+6 1.272610-3 5.000000+6 1.091250-3 5.477230+6 9.673100-4700023543 1908 6.000000+6 8.574460-4 7.000000+6 7.034290-4 8.000000+6 5.953640-4700023543 1909 9.000000+6 5.150730-4 1.000000+7 4.537700-4 1.100000+7 4.051410-4700023543 1910 1.200000+7 3.657530-4 1.300000+7 3.332320-4 1.400000+7 3.059640-4700023543 1911 1.500000+7 2.827850-4 1.600000+7 2.627880-4 1.800000+7 2.302180-4700023543 1912 2.000000+7 2.047670-4 2.200000+7 1.843150-4 2.400000+7 1.676010-4700023543 1913 2.600000+7 1.536130-4 2.800000+7 1.417970-4 3.000000+7 1.316470-4700023543 1914 3.464100+7 1.129480-4 4.000000+7 9.690450-5 4.472140+7 8.618710-5700023543 1915 5.000000+7 7.665500-5 6.000000+7 6.342470-5 6.928200+7 5.465850-5700023543 1916 8.000000+7 4.710400-5 8.944271+7 4.201120-5 1.000000+8 3.746910-5700023543 1917 700023 0 1918 7.000000+4 1.715540+2 0 0 0 0700023544 1919 3.860400+2 0.000000+0 0 0 1 145700023544 1920 145 2 0 0 0 0700023544 1921 3.860400+2 0.000000+0 3.860400+2 6.421120+4 4.000000+2 6.252770+4700023544 1922 6.000000+2 5.864970+4 7.000000+2 5.529150+4 9.000000+2 4.677590+4700023544 1923 1.000000+3 4.263800+4 1.164220+3 3.612560+4 1.355400+3 3.060780+4700023544 1924 1.589000+3 2.499200+4 1.718930+3 2.229180+4 1.934010+3 1.877860+4700023544 1925 2.176000+3 1.581900+4 2.357900+3 1.385090+4 2.659640+3 1.134830+4700023544 1926 3.000000+3 9.297800+3 3.223710+3 8.153540+3 3.590940+3 6.695690+3700023544 1927 4.000000+3 5.498500+3 4.426730+3 4.489790+3 4.776390+3 3.856670+3700023544 1928 5.353350+3 3.070380+3 6.000000+3 2.444400+3 6.639350+3 1.958670+3700023544 1929 7.163190+3 1.658840+3 7.583020+3 1.464490+3 8.259350+3 1.214810+3700023544 1930 8.996000+3 1.007700+3 9.732821+3 8.397310+2 1.053000+4 6.997600+2700023544 1931 1.150390+4 5.643800+2 1.229290+4 4.803280+2 1.292010+4 4.256110+2700023544 1932 1.392120+4 3.549980+2 1.500000+4 2.961000+2 1.611850+4 2.461930+2700023544 1933 1.701190+4 2.143650+2 1.844550+4 1.741690+2 2.000000+4 1.415100+2700023544 1934 2.103980+4 1.234170+2 2.299120+4 9.714230+1 2.457260+4 8.117680+1700023544 1935 2.582970+4 7.094960+1 2.783680+4 5.797310+1 3.000000+4 4.737000+1700023544 1936 3.197810+4 3.948940+1 3.381560+4 3.367720+1 3.550980+4 2.929780+1700023544 1937 3.706180+4 2.593560+1 3.994270+4 2.095330+1 4.224940+4 1.785540+1700023544 1938 4.596160+4 1.404580+1 5.000000+4 1.104900+1 5.221370+4 9.709130+0700023544 1939 5.663190+4 7.619260+0 6.080350+4 6.163170+0 6.470500+4 5.119280+0700023544 1940 6.832350+4 4.351990+0 7.165540+4 3.775560+0 7.470379+4 3.334180+0700023544 1941 8.035390+4 2.682270+0 8.487020+4 2.278440+0 8.842329+4 2.015990+0700023544 1942 9.403360+4 1.677890+0 1.000000+5 1.396500+0 1.044270+5 1.225470+0700023544 1943 1.087560+5 1.084200+0 1.173610+5 8.617330-1 1.254480+5 7.048600-1700023544 1944 1.329790+5 5.912110-1 1.399390+5 5.069050-1 1.463280+5 4.430600-1700023544 1945 1.582170+5 3.500670-1 1.677630+5 2.933710-1 1.752990+5 2.569610-1700023544 1946 1.872430+5 2.106410-1 2.000000+5 1.726700-1 2.103980+5 1.488660-1700023544 1947 2.199390+5 1.307450-1 2.376880+5 1.041780-1 2.519330+5 8.786010-2700023544 1948 2.631750+5 7.732190-2 2.809850+5 6.383650-2 3.000000+5 5.270300-2700023544 1949 3.223710+5 4.307700-2 3.402370+5 3.702990-2 3.689100+5 2.951300-2700023544 1950 4.000000+5 2.352200-2 4.229490+5 2.025300-2 4.598630+5 1.618120-2700023544 1951 5.000000+5 1.292800-2 5.477230+5 1.023310-2 6.000000+5 8.100000-3700023544 1952 6.447420+5 6.806290-3 6.804750+5 5.973520-3 7.378210+5 4.911440-3700023544 1953 8.000000+5 4.038200-3 8.458970+5 3.563480-3 9.197270+5 2.953960-3700023544 1954 1.000000+6 2.448700-3 1.022000+6 2.340930-3 1.130270+6 1.918910-3700023544 1955 1.250000+6 1.572970-3 1.369310+6 1.331600-3 1.500000+6 1.127260-3700023544 1956 1.611850+6 9.945490-4 1.795470+6 8.241930-4 2.000000+6 6.830180-4700023544 1957 2.044000+6 6.586900-4 2.249780+6 5.659150-4 2.417610+6 5.050150-4700023544 1958 2.693110+6 4.257290-4 3.000000+6 3.588910-4 3.464100+6 2.910110-4700023544 1959 4.000000+6 2.359690-4 4.472140+6 2.023400-4 5.000000+6 1.735040-4700023544 1960 5.477230+6 1.537980-4 6.000000+6 1.363310-4 7.000000+6 1.118420-4700023544 1961 8.000000+6 9.466060-5 9.000000+6 8.189470-5 1.000000+7 7.214760-5700023544 1962 1.100000+7 6.441580-5 1.200000+7 5.815330-5 1.300000+7 5.298270-5700023544 1963 1.400000+7 4.864700-5 1.500000+7 4.496180-5 1.600000+7 4.178230-5700023544 1964 1.800000+7 3.660370-5 2.000000+7 3.255720-5 2.200000+7 2.930550-5700023544 1965 2.400000+7 2.664790-5 2.600000+7 2.442390-5 2.800000+7 2.254510-5700023544 1966 3.000000+7 2.093130-5 3.464100+7 1.795820-5 4.000000+7 1.540740-5700023544 1967 4.472140+7 1.370340-5 5.000000+7 1.218790-5 6.000000+7 1.008430-5700023544 1968 6.928200+7 8.690500-6 8.000000+7 7.489350-6 8.944271+7 6.679620-6700023544 1969 1.000000+8 5.957440-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0700023544 1970 700023 0 1971 7.000000+4 1.715540+2 0 0 0 0700023545 1972 3.349200+2 0.000000+0 0 0 1 152700023545 1973 152 2 0 0 0 0700023545 1974 3.349200+2 0.000000+0 3.349200+2 2.754840+5 3.937600+2 2.463760+5700023545 1975 5.000000+2 2.177620+5 6.000000+2 1.905870+5 6.928200+2 1.656350+5700023545 1976 8.000000+2 1.439490+5 8.944270+2 1.259150+5 1.000000+3 1.101400+5700023545 1977 1.111630+3 9.469979+4 1.203450+3 8.455740+4 1.355610+3 7.134380+4700023545 1978 1.527000+3 6.019500+4 1.668380+3 5.194980+4 1.905360+3 4.165050+4700023545 1979 2.176000+3 3.339300+4 2.357900+3 2.880010+4 2.659640+3 2.306750+4700023545 1980 3.000000+3 1.847600+4 3.223710+3 1.600500+4 3.590940+3 1.290410+4700023545 1981 4.000000+3 1.040400+4 4.426730+3 8.359930+3 4.776390+3 7.095030+3700023545 1982 5.056650+3 6.273620+3 5.508170+3 5.216310+3 6.000000+3 4.337200+3700023545 1983 6.311590+3 3.852600+3 6.896300+3 3.131180+3 7.370120+3 2.680230+3700023545 1984 8.142580+3 2.122610+3 8.996000+3 1.681000+3 9.732821+3 1.384200+3700023545 1985 1.053000+4 1.139800+3 1.150390+4 9.069710+2 1.229290+4 7.641300+2700023545 1986 1.292010+4 6.719660+2 1.392120+4 5.541370+2 1.500000+4 4.569700+2700023545 1987 1.611850+4 3.756930+2 1.701190+4 3.243710+2 1.844550+4 2.602280+2700023545 1988 2.000000+4 2.087700+2 2.103980+4 1.805770+2 2.199390+4 1.590500+2700023545 1989 2.376880+4 1.273670+2 2.519330+4 1.078200+2 2.631750+4 9.515450+1700023545 1990 2.809850+4 7.889090+1 3.000000+4 6.540700+1 3.223710+4 5.275310+1700023545 1991 3.402370+4 4.489680+1 3.689100+4 3.525070+1 4.000000+4 2.767700+1700023545 1992 4.224300+4 2.336880+1 4.430860+4 2.015300+1 4.619870+4 1.770440+1700023545 1993 4.970240+4 1.411320+1 5.250350+4 1.190650+1 5.470740+4 1.048110+1700023545 1994 5.818800+4 8.656340+0 6.189000+4 7.149300+0 6.541090+4 5.982810+0700023545 1995 6.889340+4 5.062690+0 7.232640+4 4.329030+0 7.570010+4 3.738090+0700023545 1996 7.900579+4 3.257550+0 8.223579+4 2.863310+0 8.865220+4 2.248160+0700023545 1997 9.467600+4 1.819340+0 1.002820+5 1.511790+0 1.054580+5 1.285640+0700023545 1998 1.102060+5 1.115700+0 1.145360+5 9.855280-1 1.225260+5 7.932020-1700023545 1999 1.288830+5 6.740150-1 1.390410+5 5.279570-1 1.500000+5 4.135500-1700023545 2000 1.611850+5 3.283260-1 1.701190+5 2.761460-1 1.771420+5 2.425290-1700023545 2001 1.882240+5 1.996180-1 2.000000+5 1.643000-1 2.103980+5 1.403040-1700023545 2002 2.199390+5 1.222000-1 2.376880+5 9.595680-2 2.519330+5 8.004400-2700023545 2003 2.631750+5 6.986650-2 2.809850+5 5.697430-2 3.000000+5 4.646100-2700023545 2004 3.223710+5 3.756030-2 3.402370+5 3.202280-2 3.689100+5 2.520900-2700023545 2005 4.000000+5 1.984500-2 4.229490+5 1.697540-2 4.598630+5 1.343000-2700023545 2006 5.000000+5 1.062500-2 5.233180+5 9.414860-3 5.603490+5 7.853090-3700023545 2007 6.000000+5 6.550400-3 6.447420+5 5.482590-3 6.804750+5 4.797610-3700023545 2008 7.378210+5 3.927200-3 8.000000+5 3.214700-3 8.458970+5 2.831230-3700023545 2009 9.197270+5 2.340060-3 1.000000+6 1.934100-3 1.022000+6 1.848390-3700023545 2010 1.130270+6 1.514610-3 1.250000+6 1.241110-3 1.369310+6 1.051210-3700023545 2011 1.500000+6 8.903610-4 1.611850+6 7.855400-4 1.795470+6 6.509860-4700023545 2012 2.000000+6 5.394800-4 2.044000+6 5.202650-4 2.249780+6 4.469870-4700023545 2013 2.417610+6 3.988850-4 2.693110+6 3.362620-4 3.000000+6 2.834700-4700023545 2014 3.464100+6 2.298550-4 4.000000+6 1.863800-4 4.472140+6 1.598180-4700023545 2015 5.000000+6 1.370420-4 5.477230+6 1.214770-4 6.000000+6 1.076800-4700023545 2016 7.000000+6 8.833850-5 8.000000+6 7.476750-5 9.000000+6 6.468430-5700023545 2017 1.000000+7 5.698560-5 1.100000+7 5.087870-5 1.200000+7 4.593220-5700023545 2018 1.300000+7 4.184820-5 1.400000+7 3.842380-5 1.500000+7 3.551300-5700023545 2019 1.600000+7 3.300170-5 1.800000+7 2.891140-5 2.000000+7 2.571520-5700023545 2020 2.200000+7 2.314680-5 2.400000+7 2.104780-5 2.600000+7 1.929110-5700023545 2021 2.800000+7 1.780720-5 3.000000+7 1.653260-5 3.464100+7 1.418430-5700023545 2022 4.000000+7 1.216950-5 4.472140+7 1.082360-5 5.000000+7 9.626550-6700023545 2023 6.000000+7 7.965050-6 6.928200+7 6.864170-6 8.000000+7 5.915450-6700023545 2024 8.944271+7 5.275890-6 1.000000+8 4.705470-6 0.000000+0 0.000000+0700023545 2025 700023 0 2026 7.000000+4 1.715540+2 0 0 0 0700023546 2027 1.937300+2 0.000000+0 0 0 1 198700023546 2028 198 2 0 0 0 0700023546 2029 1.937300+2 0.000000+0 1.937300+2 2.592700+5 1.968400+2 3.026260+5700023546 2030 2.000000+2 3.532330+5 2.053520+2 4.299570+5 2.071680+2 4.502490+5700023546 2031 2.108900+2 4.793180+5 2.146110+2 4.974240+5 2.203670+2 5.031060+5700023546 2032 2.268000+2 4.906850+5 2.295110+2 4.692700+5 2.351960+2 4.008060+5700023546 2033 2.410220+2 3.423300+5 2.467100+2 2.892290+5 2.525330+2 2.443650+5700023546 2034 2.587180+2 2.113660+5 2.650540+2 1.828240+5 2.806260+2 1.445600+5700023546 2035 2.890920+2 1.324110+5 2.972350+2 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4.485840+5 1.103840-1 5.028790+5 8.347030-2 5.524000+5 6.545210-2700027506 2919 5.865390+5 5.499640-2 6.557920+5 3.966920-2 7.238360+5 2.676080-2700027506 2920 7.290070+5 2.568130-2 8.047410+5 1.627490-2 8.696620+5 9.353850-3700027506 2921 9.391700+5 4.173760-3 9.771900+5 1.378590-3 9.810450+5 1.138190-3700027506 2922 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0700027506 2923 700027 0 2924 7000 0 0 2925 0 0 0 2926 7.100000+4 1.734670+2 -1 0 2 27100 1451 1 0.000000+0 0.000000+0 0 0 0 67100 1451 2 0.000000+0 0.000000+0 0 0 3 27100 1451 3 0.000000+0 0.000000+0 0 0 146 347100 1451 4 71-LU LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7100 1451 6 ----JEF-2 MATERIAL 7100 REVISION 0 7100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7100 1451 8 ------ENDF-6 FORMAT 7100 1451 9 ******************************************************************7100 1451 10 * JEF-2 *7100 1451 11 * DATA TAKEN FROM EPDL *7100 1451 12 ******************************************************************7100 1451 13 =================================================================7100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7100 1451 15 ENDF/B-VI FORMAT 7100 1451 16 =================================================================7100 1451 17 CONTENTS 7100 1451 18 =================================================================7100 1451 19 MF/MT DESCRIPTION 7100 1451 20 =================================================================7100 1451 21 23/501 TOTAL CROSS SECTION 7100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 50 =================================================================7100 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7100 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7100 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7100 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7100 1451 55 =================================================================7100 1451 56 WARNING 7100 1451 57 =================================================================7100 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7100 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7100 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7100 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7100 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7100 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7100 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7100 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7100 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7100 1451 67 =================================================================7100 1451 68 DEFINITION OF NEW TYPES OF DATA 7100 1451 69 =================================================================7100 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7100 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7100 1451 72 7100 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7100 1451 74 C2 FIELDS ARE, 7100 1451 75 7100 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7100 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7100 1451 78 7100 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7100 1451 80 7100 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7100 1451 82 7100 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7100 1451 84 T = THE THOMSON CROSS SECTION 7100 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7100 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7100 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7100 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7100 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7100 1451 90 7100 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7100 1451 92 7100 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7100 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7100 1451 95 =================================================================7100 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7100 1451 97 =================================================================7100 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7100 1451 99 HERE - 10 EV TO 100 MEV 7100 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7100 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7100 1451 102 HERE - PHOTON INTERACTION 7100 1451 103 - AVERAGE FLUORESCENCE YIELD 7100 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7100 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7100 1451 106 HERE - NO SECONDARY ENERGY DATA 7100 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7100 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7100 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7100 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7100 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7100 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7100 1451 113 (SINCE THEY CAN BE NEGATIVE). 7100 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7100 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7100 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7100 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7100 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7100 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7100 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7100 1451 121 =================================================================7100 1451 122 REFERENCES 7100 1451 123 =================================================================7100 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7100 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7100 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7100 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7100 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7100 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7100 1451 130 7100 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7100 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7100 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7100 1451 134 OF THE DATA, ETC. 7100 1451 135 =================================================================7100 1451 136 HISTORY 7100 1451 137 =================================================================7100 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7100 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7100 1451 140 CROSS SECTIONS. 7100 1451 141 =================================================================7100 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7100 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7100 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7100 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7100 1451 146 *RECONSTRUCTED MT NUMBERS 7100 1451 147 516 =+(515,515)+(517,517) 7100 1451 148 522 =+(534,572) 7100 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7100 1451 150 1 451 184 17100 1451 151 23 501 573 17100 1451 152 23 502 133 17100 1451 153 23 504 30 17100 1451 154 23 515 30 17100 1451 155 23 516 59 17100 1451 156 23 517 42 17100 1451 157 23 522 409 27100 1451 158 23 534 32 27100 1451 159 23 535 39 27100 1451 160 23 536 44 27100 1451 161 23 537 46 27100 1451 162 23 538 44 27100 1451 163 23 539 47 27100 1451 164 23 540 49 27100 1451 165 23 541 60 27100 1451 166 23 542 63 27100 1451 167 23 543 50 27100 1451 168 23 544 51 27100 1451 169 23 545 54 27100 1451 170 23 546 65 27100 1451 171 23 547 68 27100 1451 172 23 548 81 27100 1451 173 23 549 81 27100 1451 174 23 550 55 27100 1451 175 23 551 63 27100 1451 176 23 552 65 27100 1451 177 23 553 76 27100 1451 178 23 554 78 27100 1451 179 23 559 63 27100 1451 180 27 502 50 17100 1451 181 27 504 47 17100 1451 182 27 505 112 17100 1451 183 27 506 112 17100 1451 184 7100 1 0 185 7100 0 0 186 7.100000+4 1.734670+2 0 0 0 0710023501 187 0.000000+0 0.000000+0 0 0 1 1709710023501 188 1709 2 0 0 0 0710023501 189 1.000000+1 7.795640+6 1.048660+1 7.528670+6 1.051990+1 7.510400+6710023501 190 1.099690+1 7.282830+6 1.143200+1 7.096420+6 1.154780+1 7.050760+6710023501 191 1.166820+1 7.003300+6 1.182690+1 6.940730+6 1.218350+1 6.808910+6710023501 192 1.224740+1 6.786920+6 1.283370+1 6.559490+6 1.286400+1 6.548420+6710023501 193 1.334400+1 6.373070+6 1.354060+1 6.303900+6 1.374000+1 6.233750+6710023501 194 1.404470+1 6.130150+6 1.435620+1 6.024230+6 1.467460+1 5.919570+6710023501 195 1.500000+1 5.812610+6 1.512470+1 5.767120+6 1.537770+1 5.674800+6710023501 196 1.562710+1 5.583810+6 1.611450+1 5.408430+6 1.687430+1 5.138410+6710023501 197 1.706710+1 5.070710+6 1.724870+1 5.006950+6 1.732000+1 4.981920+6710023501 198 1.732000+1 5.891100+6 1.746480+1 5.831380+6 1.767000+1 5.746760+6710023501 199 1.768660+1 5.740150+6 1.778280+1 5.701830+6 1.848620+1 5.421700+6710023501 200 1.872380+1 5.327510+6 1.896000+1 5.233880+6 1.896000+1 5.839960+6710023501 201 1.919220+1 5.741570+6 1.934000+1 5.678930+6 1.980960+1 5.481550+6710023501 202 2.000000+1 5.401520+6 2.071860+1 5.130500+6 2.103980+1 5.009350+6710023501 203 2.185500+1 4.703950+6 2.236640+1 4.547320+6 2.299120+1 4.368020+6710023501 204 2.388200+1 4.127200+6 2.425300+1 4.028530+6 2.457260+1 3.943540+6710023501 205 2.464280+1 3.924920+6 2.528320+1 3.764580+6 2.528330+1 3.764550+6710023501 206 2.542960+1 3.736500+6 2.601950+1 3.623370+6 2.693020+1 3.448730+6710023501 207 2.715100+1 3.406390+6 2.735640+1 3.367110+6 2.754080+1 3.334320+6710023501 208 2.787270+1 3.290420+6 2.821660+1 3.244940+6 2.833730+1 3.228970+6710023501 209 2.882870+1 3.168050+6 2.895140+1 3.152830+6 2.929650+1 3.110050+6710023501 210 2.965230+1 3.065930+6 3.000000+1 3.022820+6 3.019420+1 3.006970+6710023501 211 3.074590+1 2.961920+6 3.099230+1 2.941800+6 3.142830+1 2.906200+6710023501 212 3.175940+1 2.879170+6 3.226240+1 2.838100+6 3.235740+1 2.830350+6710023501 213 3.277350+1 2.808510+6 3.292800+1 2.800410+6 3.303550+1 2.796370+6710023501 214 3.329950+1 2.786460+6 3.342080+1 2.781900+6 3.351540+1 2.778360+6710023501 215 3.356870+1 2.776360+6 3.362750+1 2.774150+6 3.365490+1 2.773130+6710023501 216 3.368970+1 2.771820+6 3.372230+1 2.770600+6 3.375290+1 2.769460+6710023501 217 3.379540+1 2.767870+6 3.380350+1 2.767560+6 3.383440+1 2.766410+6710023501 218 3.388110+1 2.764660+6 3.394070+1 2.762430+6 3.400620+1 2.759980+6710023501 219 3.407970+1 2.757240+6 3.415000+1 2.754610+6 3.422000+1 2.753040+6710023501 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3.265370+4710023543 1908 1.355400+3 2.686530+4 1.499420+3 2.313690+4 1.617400+3 2.068430+4710023543 1909 1.811990+3 1.748410+4 2.030000+3 1.477900+4 2.238220+3 1.260210+4710023543 1910 2.408280+3 1.118260+4 2.687910+3 9.347411+3 3.000000+3 7.813400+3710023543 1911 3.408660+3 6.234610+3 3.751290+3 5.263640+3 4.030670+3 4.636000+3710023543 1912 4.489250+3 3.832040+3 5.000000+3 3.167500+3 5.403880+3 2.732800+3710023543 1913 5.783950+3 2.401660+3 6.514520+3 1.915770+3 7.122390+3 1.617030+3710023543 1914 7.615241+3 1.423960+3 8.419180+3 1.176710+3 9.308000+3 9.723900+2710023543 1915 9.880090+3 8.619830+2 1.096710+4 6.980720+2 1.186020+4 5.959380+2710023543 1916 1.257740+4 5.292700+2 1.373540+4 4.429870+2 1.500000+4 3.707700+2710023543 1917 1.611850+4 3.185500+2 1.795470+4 2.536800+2 2.000000+4 2.020200+2710023543 1918 2.213360+4 1.617170+2 2.388200+4 1.368600+2 2.528320+4 1.207590+2710023543 1919 2.754080+4 1.000880+2 3.000000+4 8.295500+1 3.197810+4 7.157090+1710023543 1920 3.381560+4 6.289900+1 3.728900+4 5.017430+1 4.012620+4 4.235060+1710023543 1921 4.239490+4 3.729440+1 4.604070+4 3.081910+1 5.000000+4 2.546800+1710023543 1922 5.302550+4 2.207250+1 5.582270+4 1.947500+1 6.107740+4 1.564310+1710023543 1923 6.534060+4 1.327260+1 6.873210+4 1.173360+1 7.415230+4 9.753090+0710023543 1924 8.000000+4 8.106900+0 8.653970+4 6.635870+0 9.269890+4 5.569430+0710023543 1925 9.844679+4 4.777870+0 1.037680+5 4.178110+0 1.137810+5 3.303960+0710023543 1926 1.219200+5 2.770610+0 1.284040+5 2.427900+0 1.387830+5 1.991660+0710023543 1927 1.500000+5 1.633800+0 1.635760+5 1.305310+0 1.764600+5 1.072530+0710023543 1928 1.885620+5 9.031780-1 1.998310+5 7.770780-1 2.102420+5 6.812710-1710023543 1929 2.297840+5 5.411480-1 2.456240+5 4.553170-1 2.582160+5 4.000020-1710023543 1930 2.783250+5 3.293700-1 3.000000+5 2.712100-1 3.223710+5 2.263180-1710023543 1931 3.402370+5 1.975960-1 3.689100+5 1.612010-1 4.000000+5 1.315100-1710023543 1932 4.207960+5 1.165210-1 4.598240+5 9.428280-2 4.914520+5 8.043660-2710023543 1933 5.165930+5 7.140360-2 5.567370+5 5.971990-2 6.000000+5 4.994800-2710023543 1934 6.447420+5 4.257980-2 6.804750+5 3.777610-2 7.378210+5 3.156730-2710023543 1935 8.000000+5 2.637900-2 8.458970+5 2.348550-2 9.197270+5 1.972940-2710023543 1936 1.000000+6 1.657400-2 1.022000+6 1.587010-2 1.130270+6 1.303540-2710023543 1937 1.250000+6 1.070710-2 1.369310+6 9.036400-3 1.500000+6 7.626390-3710023543 1938 1.611850+6 6.728650-3 1.795470+6 5.576240-3 2.000000+6 4.621200-3710023543 1939 2.044000+6 4.456540-3 2.249780+6 3.828420-3 2.417610+6 3.416150-3710023543 1940 2.693110+6 2.879460-3 3.000000+6 2.427090-3 3.464100+6 1.967610-3710023543 1941 4.000000+6 1.595120-3 4.472140+6 1.367590-3 5.000000+6 1.172510-3710023543 1942 5.477230+6 1.039280-3 6.000000+6 9.211820-4 7.000000+6 7.560110-4710023543 1943 8.000000+6 6.392710-4 9.000000+6 5.531170-4 1.000000+7 4.872020-4710023543 1944 1.100000+7 4.349490-4 1.200000+7 3.926370-4 1.300000+7 3.577160-4710023543 1945 1.400000+7 3.284550-4 1.500000+7 3.035260-4 1.600000+7 2.820640-4710023543 1946 1.800000+7 2.470930-4 2.000000+7 2.197170-4 2.200000+7 1.977970-4710023543 1947 2.400000+7 1.798520-4 2.600000+7 1.648140-4 2.800000+7 1.521200-4710023543 1948 3.000000+7 1.412610-4 3.464100+7 1.212050-4 4.000000+7 1.039960-4710023543 1949 4.472140+7 9.247390-5 5.000000+7 8.222830-5 6.000000+7 6.800530-5710023543 1950 6.928200+7 5.861700-5 8.000000+7 5.052480-5 8.944271+7 4.506010-5710023543 1951 1.000000+8 4.018640-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0710023543 1952 710023 0 1953 7.100000+4 1.734670+2 0 0 0 0710023544 1954 4.101900+2 0.000000+0 0 0 1 144710023544 1955 144 2 0 0 0 0710023544 1956 4.101900+2 0.000000+0 4.101900+2 5.966870+4 6.000000+2 5.706250+4710023544 1957 7.000000+2 5.424440+4 8.000000+2 5.050680+4 1.000000+3 4.261200+4710023544 1958 1.106680+3 3.852270+4 1.224740+3 3.482580+4 1.426720+3 2.886350+4710023544 1959 1.662000+3 2.392200+4 1.797510+3 2.134100+4 2.021760+3 1.798220+4710023544 1960 2.274000+3 1.515200+4 2.437100+3 1.352150+4 2.703940+3 1.139870+4710023544 1961 3.000000+3 9.609201+3 3.223710+3 8.439840+3 3.590940+3 6.947110+3710023544 1962 4.000000+3 5.718400+3 4.426730+3 4.678390+3 4.776390+3 4.024510+3710023544 1963 5.353350+3 3.210980+3 6.000000+3 2.561900+3 6.338540+3 2.273340+3710023544 1964 6.977600+3 1.844350+3 7.498830+3 1.576620+3 7.915150+3 1.401650+3710023544 1965 8.583371+3 1.174920+3 9.308000+3 9.848700+2 1.008180+4 8.183410+2710023544 1966 1.092000+4 6.799700+2 1.182200+4 5.612620+2 1.254700+4 4.860400+2710023544 1967 1.371880+4 3.916810+2 1.500000+4 3.156400+2 1.611850+4 2.627790+2710023544 1968 1.701190+4 2.290280+2 1.844550+4 1.863530+2 2.000000+4 1.516300+2710023544 1969 2.103980+4 1.323610+2 2.299120+4 1.043430+2 2.457260+4 8.729520+1710023544 1970 2.582970+4 7.636360+1 2.783680+4 6.247840+1 3.000000+4 5.111800+1710023544 1971 3.197810+4 4.265960+1 3.381560+4 3.641500+1 3.550980+4 3.170560+1710023544 1972 3.868160+4 2.488180+1 4.124490+4 2.074630+1 4.327830+4 1.810240+1710023544 1973 4.651790+4 1.475460+1 5.000000+4 1.202600+1 5.221370+4 1.057450+1710023544 1974 5.663190+4 8.308430+0 6.080350+4 6.727770+0 6.470500+4 5.593440+0710023544 1975 6.832350+4 4.758950+0 7.165540+4 4.131560+0 7.470379+4 3.650830+0710023544 1976 8.035390+4 2.940200+0 8.487020+4 2.499580+0 9.212500+4 1.959300+0710023544 1977 1.000000+5 1.535800+0 1.044270+5 1.348420+0 1.132640+5 1.056500+0710023544 1978 1.216070+5 8.534170-1 1.294100+5 7.080110-1 1.366470+5 6.012560-1710023544 1979 1.433110+5 5.211350-1 1.494080+5 4.598390-1 1.607080+5 3.694040-1710023544 1980 1.697400+5 3.134540-1 1.768470+5 2.771270-1 1.880670+5 2.303750-1710023544 1981 2.000000+5 1.915100-1 2.103980+5 1.651930-1 2.199390+5 1.451500-1710023544 1982 2.376880+5 1.157470-1 2.519330+5 9.767460-2 2.631750+5 8.599730-2710023544 1983 2.809850+5 7.104590-2 3.000000+5 5.869400-2 3.223710+5 4.800260-2710023544 1984 3.402370+5 4.128270-2 3.689100+5 3.292480-2 4.000000+5 2.625900-2710023544 1985 4.229490+5 2.261810-2 4.598630+5 1.808100-2 5.000000+5 1.445400-2710023544 1986 5.477230+5 1.144670-2 6.000000+5 9.065100-3 6.447420+5 7.620480-3710023544 1987 6.804750+5 6.690200-3 7.378210+5 5.503320-3 8.000000+5 4.527000-3710023544 1988 8.458970+5 3.995440-3 9.197270+5 3.312800-3 1.000000+6 2.746800-3710023544 1989 1.022000+6 2.625910-3 1.130270+6 2.152290-3 1.250000+6 1.764100-3710023544 1990 1.369310+6 1.493210-3 1.500000+6 1.263920-3 1.611850+6 1.115140-3710023544 1991 1.795470+6 9.241480-4 2.000000+6 7.658690-4 2.044000+6 7.385800-4710023544 1992 2.249780+6 6.344820-4 2.417610+6 5.661560-4 2.693110+6 4.772110-4710023544 1993 3.000000+6 4.022400-4 3.464100+6 3.260910-4 4.000000+6 2.643580-4710023544 1994 4.472140+6 2.266490-4 5.000000+6 1.943190-4 5.477230+6 1.722380-4710023544 1995 6.000000+6 1.526670-4 7.000000+6 1.252930-4 8.000000+6 1.059460-4710023544 1996 9.000000+6 9.166780-5 1.000000+7 8.074370-5 1.100000+7 7.208380-5710023544 1997 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6.345590+4710023545 2012 1.662000+3 5.424500+4 1.797510+3 4.754420+4 2.021760+3 3.901260+4710023545 2013 2.274000+3 3.201200+4 2.437100+3 2.818250+4 2.703940+3 2.327980+4710023545 2014 3.000000+3 1.923000+4 3.223710+3 1.667520+4 3.590940+3 1.346510+4710023545 2015 4.000000+3 1.087300+4 4.426730+3 8.748371+3 4.776390+3 7.432080+3710023545 2016 5.056650+3 6.576540+3 5.508170+3 5.474300+3 6.000000+3 4.556800+3710023545 2017 6.338540+3 4.008700+3 6.977600+3 3.203360+3 7.498830+3 2.707430+3710023545 2018 7.915150+3 2.386550+3 8.583371+3 1.975110+3 9.308000+3 1.634600+3710023545 2019 1.008180+4 1.341340+3 1.092000+4 1.100700+3 1.182200+4 8.972770+2710023545 2020 1.254700+4 7.697850+2 1.371880+4 6.116940+2 1.500000+4 4.860700+2710023545 2021 1.611850+4 4.000100+2 1.701190+4 3.456210+2 1.844550+4 2.775840+2710023545 2022 2.000000+4 2.229400+2 2.103980+4 1.929630+2 2.199390+4 1.700590+2710023545 2023 2.376880+4 1.363230+2 2.519330+4 1.154910+2 2.631750+4 1.019840+2710023545 2024 2.809850+4 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5.940490-3 9.739940+5 1.703130-3710027506 3089 9.792320+5 1.352790-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0710027506 3090 710027 0 3091 7100 0 0 3092 0 0 0 3093 7.200000+4 1.769570+2 -1 0 2 27200 1451 1 0.000000+0 0.000000+0 0 0 0 67200 1451 2 0.000000+0 0.000000+0 0 0 3 27200 1451 3 0.000000+0 0.000000+0 0 0 146 347200 1451 4 72-HF LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7200 1451 6 ----JEF-2 MATERIAL 7200 REVISION 0 7200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7200 1451 8 ------ENDF-6 FORMAT 7200 1451 9 ******************************************************************7200 1451 10 * JEF-2 *7200 1451 11 * DATA TAKEN FROM EPDL *7200 1451 12 ******************************************************************7200 1451 13 =================================================================7200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7200 1451 15 ENDF/B-VI FORMAT 7200 1451 16 =================================================================7200 1451 17 CONTENTS 7200 1451 18 =================================================================7200 1451 19 MF/MT DESCRIPTION 7200 1451 20 =================================================================7200 1451 21 23/501 TOTAL CROSS SECTION 7200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 50 =================================================================7200 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7200 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7200 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7200 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7200 1451 55 =================================================================7200 1451 56 WARNING 7200 1451 57 =================================================================7200 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7200 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7200 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7200 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7200 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7200 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7200 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7200 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7200 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7200 1451 67 =================================================================7200 1451 68 DEFINITION OF NEW TYPES OF DATA 7200 1451 69 =================================================================7200 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7200 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7200 1451 72 7200 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7200 1451 74 C2 FIELDS ARE, 7200 1451 75 7200 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7200 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7200 1451 78 7200 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7200 1451 80 7200 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7200 1451 82 7200 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7200 1451 84 T = THE THOMSON CROSS SECTION 7200 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7200 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7200 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7200 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7200 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7200 1451 90 7200 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7200 1451 92 7200 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7200 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7200 1451 95 =================================================================7200 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7200 1451 97 =================================================================7200 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7200 1451 99 HERE - 10 EV TO 100 MEV 7200 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7200 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7200 1451 102 HERE - PHOTON INTERACTION 7200 1451 103 - AVERAGE FLUORESCENCE YIELD 7200 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7200 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7200 1451 106 HERE - NO SECONDARY ENERGY DATA 7200 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7200 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7200 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7200 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7200 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7200 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7200 1451 113 (SINCE THEY CAN BE NEGATIVE). 7200 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7200 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7200 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7200 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7200 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7200 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7200 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7200 1451 121 =================================================================7200 1451 122 REFERENCES 7200 1451 123 =================================================================7200 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7200 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7200 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7200 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7200 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7200 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7200 1451 130 7200 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7200 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7200 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7200 1451 134 OF THE DATA, ETC. 7200 1451 135 =================================================================7200 1451 136 HISTORY 7200 1451 137 =================================================================7200 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7200 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7200 1451 140 CROSS SECTIONS. 7200 1451 141 =================================================================7200 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7200 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7200 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7200 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7200 1451 146 *RECONSTRUCTED MT NUMBERS 7200 1451 147 516 =+(515,515)+(517,517) 7200 1451 148 522 =+(534,572) 7200 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7200 1451 150 1 451 184 17200 1451 151 23 501 549 17200 1451 152 23 502 128 17200 1451 153 23 504 30 17200 1451 154 23 515 30 17200 1451 155 23 516 59 17200 1451 156 23 517 42 17200 1451 157 23 522 386 27200 1451 158 23 534 32 27200 1451 159 23 535 38 27200 1451 160 23 536 43 27200 1451 161 23 537 45 27200 1451 162 23 538 44 27200 1451 163 23 539 47 27200 1451 164 23 540 50 27200 1451 165 23 541 60 27200 1451 166 23 542 62 27200 1451 167 23 543 49 27200 1451 168 23 544 50 27200 1451 169 23 545 54 27200 1451 170 23 546 65 27200 1451 171 23 547 66 27200 1451 172 23 548 81 27200 1451 173 23 549 81 27200 1451 174 23 550 55 27200 1451 175 23 551 62 27200 1451 176 23 552 63 27200 1451 177 23 553 77 27200 1451 178 23 554 76 27200 1451 179 23 559 63 27200 1451 180 27 502 51 17200 1451 181 27 504 47 17200 1451 182 27 505 112 17200 1451 183 27 506 112 17200 1451 184 7200 1 0 185 7200 0 0 186 7.200000+4 1.769570+2 0 0 0 0720023501 187 0.000000+0 0.000000+0 0 0 1 1638720023501 188 1638 2 0 0 0 0720023501 189 1.000000+1 1.351790+7 1.034930+1 1.341650+7 1.068780+1 1.334560+7720023501 190 1.095300+1 1.330680+7 1.101520+1 1.329770+7 1.133130+1 1.326740+7720023501 191 1.154780+1 1.325880+7 1.173280+1 1.325150+7 1.194850+1 1.324300+7720023501 192 1.238840+1 1.324970+7 1.251610+1 1.325160+7 1.286400+1 1.326960+7720023501 193 1.288420+1 1.327060+7 1.303480+1 1.323140+7 1.350630+1 1.312050+7720023501 194 1.369400+1 1.307980+7 1.393290+1 1.302800+7 1.471200+1 1.287360+7720023501 195 1.500000+1 1.282120+7 1.512470+1 1.276420+7 1.532470+1 1.267280+7720023501 196 1.580100+1 1.245970+7 1.654330+1 1.213380+7 1.732050+1 1.179870+7720023501 197 1.732500+1 1.179600+7 1.778280+1 1.152290+7 1.828040+1 1.122610+7720023501 198 1.929360+1 1.062600+7 1.966840+1 1.040560+7 1.980960+1 1.032260+7720023501 199 2.000000+1 1.021060+7 2.122110+1 9.435670+6 2.221340+1 8.808760+6720023501 200 2.251670+1 8.617140+6 2.319380+1 8.191160+6 2.415380+1 7.589230+6720023501 201 2.425300+1 7.538140+6 2.508780+1 7.108190+6 2.535000+1 6.973160+6720023501 202 2.540000+1 6.947470+6 2.540000+1 7.655630+6 2.573040+1 7.481080+6720023501 203 2.591000+1 7.386200+6 2.698890+1 6.839590+6 2.726000+1 6.702240+6720023501 204 2.726000+1 7.174000+6 2.761150+1 6.994460+6 2.780000+1 6.898180+6720023501 205 2.788010+1 6.857310+6 2.895140+1 6.419130+6 3.000000+1 5.990230+6720023501 206 3.183050+1 5.301560+6 3.223710+1 5.162060+6 3.244020+1 5.100720+6720023501 207 3.357470+1 4.770270+6 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2.000000+6 4.968020-3720023543 1883 2.044000+6 4.790960-3 2.249780+6 4.115250-3 2.417610+6 3.671780-3720023543 1884 2.693110+6 3.094550-3 3.000000+6 2.608060-3 3.464100+6 2.113970-3720023543 1885 4.000000+6 1.713480-3 4.472140+6 1.469060-3 5.000000+6 1.259500-3720023543 1886 5.477230+6 1.115950-3 6.000000+6 9.887650-4 7.000000+6 8.111890-4720023543 1887 8.000000+6 6.861140-4 9.000000+6 5.939800-4 1.000000+7 5.229490-4720023543 1888 1.100000+7 4.666910-4 1.200000+7 4.212420-4 1.300000+7 3.837710-4720023543 1889 1.400000+7 3.523220-4 1.500000+7 3.255570-4 1.600000+7 3.025490-4720023543 1890 1.800000+7 2.649750-4 2.000000+7 2.356360-4 2.200000+7 2.121140-4720023543 1891 2.400000+7 1.928630-4 2.600000+7 1.767530-4 2.800000+7 1.631130-4720023543 1892 3.000000+7 1.514800-4 3.464100+7 1.299540-4 4.000000+7 1.114870-4720023543 1893 4.472140+7 9.914570-5 5.000000+7 8.817050-5 6.000000+7 7.293500-5720023543 1894 6.928200+7 6.284330-5 8.000000+7 5.414790-5 8.944271+7 4.829590-5720023543 1895 1.000000+8 4.307640-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0720023543 1896 720023 0 1897 7.200000+4 1.769570+2 0 0 0 0720023544 1898 4.352700+2 0.000000+0 0 0 1 141720023544 1899 141 2 0 0 0 0720023544 1900 4.352700+2 0.000000+0 4.352700+2 5.668680+4 6.000000+2 5.552730+4720023544 1901 7.000000+2 5.310880+4 8.000000+2 4.985070+4 1.000000+3 4.249500+4720023544 1902 1.224740+3 3.497070+4 1.434420+3 2.895490+4 1.680000+3 2.397400+4720023544 1903 1.828210+3 2.121710+4 2.075390+3 1.766470+4 2.356000+3 1.470700+4720023544 1904 2.658570+3 1.207870+4 3.000000+3 9.920100+3 3.223710+3 8.726550+3720023544 1905 3.590940+3 7.200010+3 4.000000+3 5.940500+3 4.426730+3 4.869790+3720023544 1906 4.776390+3 4.195420+3 5.353350+3 3.354860+3 6.000000+3 2.682700+3720023544 1907 6.447420+3 2.302530+3 7.181880+3 1.830850+3 8.000000+3 1.455800+3720023544 1908 8.727201+3 1.195130+3 9.315661+3 1.030750+3 1.027360+4 8.255730+2720023544 1909 1.133000+4 6.612400+2 1.215330+4 5.583240+2 1.280990+4 4.917930+2720023544 1910 1.386170+4 4.065610+2 1.500000+4 3.361000+2 1.611850+4 2.801720+2720023544 1911 1.701190+4 2.444230+2 1.844550+4 1.991670+2 2.000000+4 1.622900+2720023544 1912 2.103980+4 1.417910+2 2.299120+4 1.119500+2 2.457260+4 9.376840+1720023544 1913 2.582970+4 8.209760+1 2.783680+4 6.725750+1 3.000000+4 5.510000+1720023544 1914 3.197810+4 4.603140+1 3.381560+4 3.932960+1 3.550980+4 3.427100+1720023544 1915 3.868160+4 2.693330+1 4.124490+4 2.248070+1 4.327830+4 1.963140+1720023544 1916 4.651790+4 1.602000+1 5.000000+4 1.307300+1 5.221370+4 1.150260+1720023544 1917 5.663190+4 9.048700+0 6.080350+4 7.335040+0 6.470500+4 6.104030+0720023544 1918 6.832350+4 5.197610+0 7.165540+4 4.515620+0 7.470379+4 3.992710+0720023544 1919 8.035390+4 3.219060+0 8.487020+4 2.738900+0 9.212500+4 2.149540+0720023544 1920 1.000000+5 1.687000+0 1.044270+5 1.481970+0 1.132640+5 1.162320+0720023544 1921 1.216070+5 9.397260-1 1.294100+5 7.802190-1 1.366470+5 6.630250-1720023544 1922 1.433110+5 5.750150-1 1.494080+5 5.076450-1 1.607080+5 4.081800-1720023544 1923 1.697400+5 3.465930-1 1.768470+5 3.065820-1 1.880670+5 2.550560-1720023544 1924 2.000000+5 2.121900-1 2.103980+5 1.831230-1 2.199390+5 1.609750-1720023544 1925 2.376880+5 1.284660-1 2.519330+5 1.084700-1 2.631750+5 9.554330-2720023544 1926 2.809850+5 7.898360-2 3.000000+5 6.529400-2 3.223710+5 5.343200-2720023544 1927 3.402370+5 4.597240-2 3.689100+5 3.668950-2 4.000000+5 2.928100-2720023544 1928 4.229490+5 2.523070-2 4.598630+5 2.018100-2 5.000000+5 1.614200-2720023544 1929 5.477230+5 1.279060-2 6.000000+5 1.013500-2 6.447420+5 8.523240-3720023544 1930 6.804750+5 7.484980-3 7.378210+5 6.159840-3 8.000000+5 5.069300-3720023544 1931 8.458970+5 4.474850-3 9.197270+5 3.711280-3 1.000000+6 3.078000-3720023544 1932 1.022000+6 2.942590-3 1.130270+6 2.411810-3 1.250000+6 1.976770-3720023544 1933 1.369310+6 1.673060-3 1.500000+6 1.416020-3 1.611850+6 1.249310-3720023544 1934 1.795470+6 1.035310-3 2.000000+6 8.579680-4 2.044000+6 8.273900-4720023544 1935 2.249780+6 7.106960-4 2.417610+6 6.341090-4 2.693110+6 5.344220-4720023544 1936 3.000000+6 4.504060-4 3.464100+6 3.650780-4 4.000000+6 2.959150-4720023544 1937 4.472140+6 2.537040-4 5.000000+6 2.175140-4 5.477230+6 1.927230-4720023544 1938 6.000000+6 1.707580-4 7.000000+6 1.400910-4 8.000000+6 1.184910-4720023544 1939 9.000000+6 1.025790-4 1.000000+7 9.031240-5 1.100000+7 8.059670-5720023544 1940 1.200000+7 7.274770-5 1.300000+7 6.627650-5 1.400000+7 6.084530-5720023544 1941 1.500000+7 5.622300-5 1.600000+7 5.224960-5 1.800000+7 4.576070-5720023544 1942 2.000000+7 4.069390-5 2.200000+7 3.663160-5 2.400000+7 3.330710-5720023544 1943 2.600000+7 3.052490-5 2.800000+7 2.816930-5 3.000000+7 2.616040-5720023544 1944 3.464100+7 2.244290-5 4.000000+7 1.925360-5 4.472140+7 1.712230-5720023544 1945 5.000000+7 1.522690-5 6.000000+7 1.259570-5 6.928200+7 1.085290-5720023544 1946 8.000000+7 9.351240-6 8.944271+7 8.340620-6 1.000000+8 7.439220-6720023544 1947 720023 0 1948 7.200000+4 1.769570+2 0 0 0 0720023545 1949 3.758200+2 0.000000+0 0 0 1 153720023545 1950 153 2 0 0 0 0720023545 1951 3.758200+2 0.000000+0 3.758200+2 2.494210+5 4.000000+2 2.510000+5720023545 1952 4.631240+2 2.301530+5 5.362100+2 2.110380+5 6.126560+2 1.895870+5720023545 1953 7.000000+2 1.703170+5 7.937250+2 1.491850+5 9.000000+2 1.306750+5720023545 1954 1.000000+3 1.150500+5 1.106680+3 9.996650+4 1.288420+3 8.096670+4720023545 1955 1.500000+3 6.557800+4 1.634350+3 5.708530+4 1.858770+3 4.636320+4720023545 1956 2.114000+3 3.765500+4 2.307330+3 3.214780+4 2.463840+3 2.855280+4720023545 1957 2.718730+3 2.389980+4 3.000000+3 2.000500+4 3.223710+3 1.736520+4720023545 1958 3.590940+3 1.404400+4 4.000000+3 1.135800+4 4.426730+3 9.150540+3720023545 1959 4.776390+3 7.781360+3 5.056650+3 6.890681+3 5.508170+3 5.742120+3720023545 1960 6.000000+3 4.785000+3 6.447420+3 4.058880+3 6.804750+3 3.587560+3720023545 1961 7.378210+3 2.981180+3 8.000000+3 2.477300+3 8.727201+3 2.005390+3720023545 1962 9.315661+3 1.711450+3 1.027360+4 1.349310+3 1.133000+4 1.063800+3720023545 1963 1.215330+4 8.880640+2 1.280990+4 7.755900+2 1.386170+4 6.330150+2720023545 1964 1.500000+4 5.166500+2 1.611850+4 4.255900+2 1.701190+4 3.679910+2720023545 1965 1.844550+4 2.958740+2 2.000000+4 2.378900+2 2.103980+4 2.060390+2720023545 1966 2.199390+4 1.816880+2 2.376880+4 1.457930+2 2.519330+4 1.236080+2720023545 1967 2.631750+4 1.092130+2 2.809850+4 9.070310+1 3.000000+4 7.533000+1720023545 1968 3.223710+4 6.086900+1 3.402370+4 5.187610+1 3.689100+4 4.081540+1720023545 1969 4.000000+4 3.211300+1 4.258070+4 2.647910+1 4.497500+4 2.236650+1720023545 1970 4.718020+4 1.929550+1 4.919830+4 1.695640+1 5.293980+4 1.352430+1720023545 1971 5.593160+4 1.141440+1 5.828580+4 1.005090+1 6.200430+4 8.304900+0720023545 1972 6.596000+4 6.862200+0 6.943550+4 5.822200+0 7.285980+4 4.990810+0720023545 1973 7.622340+4 4.319540+0 7.951770+4 3.772470+0 8.273520+4 3.322680+0720023545 1974 8.912310+4 2.618830+0 9.511590+4 2.126420+0 1.006890+5 1.772140+0720023545 1975 1.058330+5 1.510920+0 1.105490+5 1.314140+0 1.193130+5 1.029410+0720023545 1976 1.263400+5 8.571400-1 1.318800+5 7.471340-1 1.406480+5 6.080210-1720023545 1977 1.500000+5 4.948100-1 1.611850+5 3.931130-1 1.701190+5 3.308080-1720023545 1978 1.771420+5 2.906500-1 1.882240+5 2.393650-1 2.000000+5 1.971300-1720023545 1979 2.103980+5 1.684470-1 2.199390+5 1.467940-1 2.376880+5 1.153830-1720023545 1980 2.519330+5 9.631970-2 2.631750+5 8.411920-2 2.809850+5 6.865400-2720023545 1981 3.000000+5 5.603200-2 3.223710+5 4.532420-2 3.402370+5 3.865900-2720023545 1982 3.689100+5 3.045310-2 4.000000+5 2.398900-2 4.229490+5 2.052550-2720023545 1983 4.598630+5 1.624490-2 5.000000+5 1.285700-2 5.233180+5 1.139490-2720023545 1984 5.603490+5 9.507560-3 6.000000+5 7.932800-3 6.447420+5 6.639330-3720023545 1985 6.804750+5 5.809620-3 7.378210+5 4.755350-3 8.000000+5 3.892400-3720023545 1986 8.458970+5 3.427420-3 9.197270+5 2.831990-3 1.000000+6 2.340000-3720023545 1987 1.022000+6 2.236160-3 1.130270+6 1.831950-3 1.250000+6 1.500800-3720023545 1988 1.369310+6 1.271070-3 1.500000+6 1.076510-3 1.611850+6 9.497690-4720023545 1989 1.795470+6 7.870790-4 2.000000+6 6.522560-4 2.044000+6 6.290100-4720023545 1990 2.249780+6 5.402950-4 2.417610+6 4.820710-4 2.693110+6 4.062860-4720023545 1991 3.000000+6 3.424140-4 3.464100+6 2.775450-4 4.000000+6 2.249650-4720023545 1992 4.472140+6 1.928750-4 5.000000+6 1.653620-4 5.477230+6 1.465150-4720023545 1993 6.000000+6 1.298160-4 7.000000+6 1.065020-4 8.000000+6 9.008060-5720023545 1994 9.000000+6 7.798420-5 1.000000+7 6.865860-5 1.100000+7 6.127240-5720023545 1995 1.200000+7 5.530530-5 1.300000+7 5.038560-5 1.400000+7 4.625670-5720023545 1996 1.500000+7 4.274270-5 1.600000+7 3.972190-5 1.800000+7 3.478880-5720023545 1997 2.000000+7 3.093690-5 2.200000+7 2.784860-5 2.400000+7 2.532120-5720023545 1998 2.600000+7 2.320600-5 2.800000+7 2.141530-5 3.000000+7 1.988800-5720023545 1999 3.464100+7 1.706180-5 4.000000+7 1.463720-5 4.472140+7 1.301690-5720023545 2000 5.000000+7 1.157600-5 6.000000+7 9.575710-6 6.928200+7 8.250760-6720023545 2001 8.000000+7 7.109130-6 8.944271+7 6.340820-6 1.000000+8 5.655550-6720023545 2002 720023 0 2003 7.200000+4 1.769570+2 0 0 0 0720023546 2004 2.255900+2 0.000000+0 0 0 1 184720023546 2005 184 2 0 0 0 0720023546 2006 2.255900+2 0.000000+0 2.255900+2 2.299750+5 2.434400+2 1.822800+5720023546 2007 2.627030+2 1.444760+5 2.705680+2 1.329600+5 2.891890+2 1.210330+5720023546 2008 3.000000+2 1.198350+5 3.193970+2 1.243260+5 3.496260+2 1.490100+5720023546 2009 3.833400+2 1.834910+5 4.000000+2 1.985660+5 4.439700+2 2.291540+5720023546 2010 5.000000+2 2.502260+5 5.362100+2 2.550640+5 6.000000+2 2.527050+5720023546 2011 7.000000+2 2.341920+5 8.000000+2 2.089620+5 9.000000+2 1.835710+5720023546 2012 1.000000+3 1.601800+5 1.106680+3 1.372710+5 1.224740+3 1.176390+5720023546 2013 1.355400+3 9.836329+4 1.500000+3 8.224600+4 1.614620+3 7.117890+4720023546 2014 1.738000+3 6.160100+4 1.916800+3 4.997300+4 2.114000+3 4.054000+4720023546 2015 2.225170+3 3.599810+4 2.402980+3 3.012140+4 2.595000+3 2.520400+4720023546 2016 2.790160+3 2.108910+4 3.000000+3 1.764600+4 3.223710+3 1.461470+4720023546 2017 3.402370+3 1.268810+4 3.689100+3 1.026380+4 4.000000+3 8.302701+3720023546 2018 4.229490+3 7.104150+3 4.598630+3 5.622770+3 5.000000+3 4.450300+3720023546 2019 5.233180+3 3.895250+3 5.603491+3 3.189730+3 6.000000+3 2.612000+3720023546 2020 6.447420+3 2.095690+3 6.804750+3 1.776610+3 7.085681+3 1.569610+3720023546 2021 7.528971+3 1.303440+3 8.000000+3 1.082400+3 8.355691+3 9.401430+2720023546 2022 9.016630+3 7.346910+2 9.546420+3 6.106430+2 9.964100+3 5.315570+2720023546 2023 1.062510+4 4.317110+2 1.133000+4 3.506200+2 1.215330+4 2.760790+2720023546 2024 1.280990+4 2.307710+2 1.332540+4 2.017400+2 1.413790+4 1.648960+2720023546 2025 1.500000+4 1.347800+2 1.554920+4 1.186860+2 1.655920+4 9.500570+1720023546 2026 1.735950+4 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9.212700+4 1.100100-1 9.774879+4 2.612760-1 9.827640+4 2.732250-1720027506 3014 1.002700+5 3.030400-1 1.037680+5 3.726770-1 1.054560+5 4.004180-1720027506 3015 1.062230+5 4.089400-1 1.070110+5 4.096690-1 1.093030+5 4.355030-1720027506 3016 1.150280+5 5.104420-1 1.172040+5 5.282930-1 1.182690+5 5.297160-1720027506 3017 1.193130+5 5.264370-1 1.276560+5 5.576850-1 1.321280+5 5.668790-1720027506 3018 1.452490+5 5.555610-1 1.566410+5 5.359150-1 1.698960+5 5.101860-1720027506 3019 1.825990+5 4.788170-1 1.993610+5 4.430460-1 2.083130+5 4.178990-1720027506 3020 2.276470+5 3.770390-1 2.467310+5 3.381930-1 2.719340+5 2.938130-1720027506 3021 2.937220+5 2.603210-1 3.174130+5 2.300770-1 3.486430+5 1.964830-1720027506 3022 3.779810+5 1.693330-1 4.113140+5 1.406830-1 4.550780+5 1.140280-1720027506 3023 5.000000+5 9.202960-2 5.502370+5 7.198780-2 5.861120+5 5.939360-2720027506 3024 6.487980+5 4.374890-2 7.095580+5 3.155460-2 7.181880+5 2.992230-2720027506 3025 7.303960+5 2.727030-2 7.916940+5 1.906770-2 8.226280+5 1.532290-2720027506 3026 8.696620+5 1.001040-2 8.973840+5 7.698220-3 9.788550+5 1.384320-3720027506 3027 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0720027506 3028 720027 0 3029 7200 0 0 3030 0 0 0 3031 7.300000+4 1.793940+2 -1 0 2 27300 1451 1 0.000000+0 0.000000+0 0 0 0 67300 1451 2 0.000000+0 0.000000+0 0 0 3 27300 1451 3 0.000000+0 0.000000+0 0 0 146 347300 1451 4 73-TA LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7300 1451 6 ----JEF-2 MATERIAL 7300 REVISION 0 7300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7300 1451 8 ------ENDF-6 FORMAT 7300 1451 9 ******************************************************************7300 1451 10 * JEF-2 *7300 1451 11 * DATA TAKEN FROM EPDL *7300 1451 12 ******************************************************************7300 1451 13 =================================================================7300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7300 1451 15 ENDF/B-VI FORMAT 7300 1451 16 =================================================================7300 1451 17 CONTENTS 7300 1451 18 =================================================================7300 1451 19 MF/MT DESCRIPTION 7300 1451 20 =================================================================7300 1451 21 23/501 TOTAL CROSS SECTION 7300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 50 =================================================================7300 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7300 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7300 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7300 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7300 1451 55 =================================================================7300 1451 56 WARNING 7300 1451 57 =================================================================7300 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7300 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7300 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7300 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7300 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7300 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7300 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7300 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7300 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7300 1451 67 =================================================================7300 1451 68 DEFINITION OF NEW TYPES OF DATA 7300 1451 69 =================================================================7300 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7300 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7300 1451 72 7300 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7300 1451 74 C2 FIELDS ARE, 7300 1451 75 7300 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7300 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7300 1451 78 7300 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7300 1451 80 7300 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7300 1451 82 7300 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7300 1451 84 T = THE THOMSON CROSS SECTION 7300 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7300 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7300 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7300 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7300 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7300 1451 90 7300 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7300 1451 92 7300 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7300 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7300 1451 95 =================================================================7300 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7300 1451 97 =================================================================7300 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7300 1451 99 HERE - 10 EV TO 100 MEV 7300 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7300 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7300 1451 102 HERE - PHOTON INTERACTION 7300 1451 103 - AVERAGE FLUORESCENCE YIELD 7300 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7300 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7300 1451 106 HERE - NO SECONDARY ENERGY DATA 7300 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7300 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7300 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7300 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7300 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7300 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7300 1451 113 (SINCE THEY CAN BE NEGATIVE). 7300 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7300 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7300 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7300 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7300 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7300 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7300 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7300 1451 121 =================================================================7300 1451 122 REFERENCES 7300 1451 123 =================================================================7300 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7300 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7300 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7300 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7300 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7300 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7300 1451 130 7300 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7300 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7300 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7300 1451 134 OF THE DATA, ETC. 7300 1451 135 =================================================================7300 1451 136 HISTORY 7300 1451 137 =================================================================7300 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7300 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7300 1451 140 CROSS SECTIONS. 7300 1451 141 =================================================================7300 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7300 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7300 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7300 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7300 1451 146 *RECONSTRUCTED MT NUMBERS 7300 1451 147 516 =+(515,515)+(517,517) 7300 1451 148 522 =+(534,572) 7300 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7300 1451 150 1 451 184 17300 1451 151 23 501 555 17300 1451 152 23 502 128 17300 1451 153 23 504 31 17300 1451 154 23 515 30 17300 1451 155 23 516 59 17300 1451 156 23 517 42 17300 1451 157 23 522 391 27300 1451 158 23 534 32 27300 1451 159 23 535 38 27300 1451 160 23 536 42 27300 1451 161 23 537 45 27300 1451 162 23 538 44 27300 1451 163 23 539 47 27300 1451 164 23 540 49 27300 1451 165 23 541 60 27300 1451 166 23 542 62 27300 1451 167 23 543 49 27300 1451 168 23 544 51 27300 1451 169 23 545 54 27300 1451 170 23 546 64 27300 1451 171 23 547 64 27300 1451 172 23 548 81 27300 1451 173 23 549 82 27300 1451 174 23 550 54 27300 1451 175 23 551 61 27300 1451 176 23 552 63 27300 1451 177 23 553 76 27300 1451 178 23 554 76 27300 1451 179 23 559 64 27300 1451 180 27 502 51 17300 1451 181 27 504 48 17300 1451 182 27 505 110 17300 1451 183 27 506 110 17300 1451 184 7300 1 0 185 7300 0 0 186 7.300000+4 1.793940+2 0 0 0 0730023501 187 0.000000+0 0.000000+0 0 0 1 1656730023501 188 1656 2 0 0 0 0730023501 189 1.000000+1 1.547370+7 1.051990+1 1.567790+7 1.092860+1 1.589810+7730023501 190 1.099690+1 1.593490+7 1.143200+1 1.621250+7 1.154780+1 1.629450+7730023501 191 1.177520+1 1.645540+7 1.182690+1 1.649200+7 1.218350+1 1.676250+7730023501 192 1.283370+1 1.728970+7 1.288420+1 1.733300+7 1.303030+1 1.739480+7730023501 193 1.321580+1 1.747330+7 1.334400+1 1.752750+7 1.374000+1 1.770600+7730023501 194 1.404470+1 1.785080+7 1.435620+1 1.799880+7 1.499770+1 1.831860+7730023501 195 1.500000+1 1.831970+7 1.568960+1 1.832980+7 1.622760+1 1.834480+7730023501 196 1.688590+1 1.837060+7 1.706930+1 1.837780+7 1.732050+1 1.839030+7730023501 197 1.755360+1 1.828390+7 1.795470+1 1.810090+7 1.887140+1 1.769250+7730023501 198 1.894980+1 1.765760+7 2.000000+1 1.719500+7 2.094430+1 1.644790+7730023501 199 2.097330+1 1.642500+7 2.199390+1 1.561940+7 2.299120+1 1.483540+7730023501 200 2.376870+1 1.410200+7 2.468680+1 1.323780+7 2.480720+1 1.312450+7730023501 201 2.546440+1 1.261710+7 2.582970+1 1.233510+7 2.676670+1 1.161300+7730023501 202 2.760630+1 1.095730+7 2.783680+1 1.077730+7 2.833730+1 1.038680+7730023501 203 2.898390+1 9.932610+6 3.000000+1 9.218810+6 3.021280+1 9.076490+6730023501 204 3.118020+1 8.429500+6 3.158710+1 8.157360+6 3.354300+1 7.104750+6730023501 205 3.390610+1 6.909340+6 3.404000+1 6.837280+6 3.404000+1 7.405920+6730023501 206 3.412650+1 7.359770+6 3.441320+1 7.242320+6 3.508870+1 6.965590+6730023501 207 3.584390+1 6.656200+6 3.614000+1 6.534900+6 3.614000+1 6.916420+6730023501 208 3.658670+1 6.736780+6 3.687000+1 6.622860+6 3.863660+1 6.004070+6730023501 209 3.932410+1 5.758020+6 3.969200+1 5.626350+6 3.970260+1 5.623440+6730023501 210 3.998890+1 5.544900+6 3.999640+1 5.542840+6 4.020500+1 5.485610+6730023501 211 4.053130+1 5.396090+6 4.086030+1 5.305830+6 4.105090+1 5.253550+6730023501 212 4.116180+1 5.223120+6 4.123830+1 5.202140+6 4.131600+1 5.180830+6730023501 213 4.136820+1 5.166510+6 4.141610+1 5.153370+6 4.147350+1 5.137630+6730023501 214 4.154680+1 5.117520+6 4.162720+1 5.095470+6 4.171760+1 5.070680+6730023501 215 4.189000+1 5.023400+6 4.189000+1 1.143730+7 4.190030+1 1.143070+7730023501 216 4.208370+1 1.131210+7 4.224860+1 1.120550+7 4.240340+1 1.110540+7730023501 217 4.262010+1 1.096520+7 4.273000+1 1.089410+7 4.288820+1 1.079690+7730023501 218 4.414880+1 1.002210+7 4.476440+1 9.643710+6 4.485060+1 9.597800+6730023501 219 4.491850+1 9.561640+6 4.577060+1 9.151700+6 4.714660+1 8.500300+6730023501 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4.614100+2 0.000000+0 4.614100+2 5.377220+4 5.000000+2 5.488370+4730023544 1911 6.000000+2 5.388430+4 7.000000+2 5.188570+4 8.000000+2 4.908750+4730023544 1912 1.000000+3 4.231200+4 1.224740+3 3.516070+4 1.355400+3 3.140420+4730023544 1913 1.500000+3 2.804900+4 1.732050+3 2.320830+4 2.000000+3 1.920300+4730023544 1914 2.156820+3 1.712060+4 2.415410+3 1.441260+4 2.705000+3 1.213300+4730023544 1915 2.982910+3 1.024320+4 3.209930+3 9.021621+3 3.583250+3 7.456920+3730023544 1916 4.000000+3 6.163600+3 4.472140+3 4.988730+3 5.000000+3 4.037800+3730023544 1917 5.477230+3 3.365900+3 6.000000+3 2.805800+3 6.447420+3 2.411420+3730023544 1918 7.181880+3 1.921300+3 8.000000+3 1.530800+3 8.805100+3 1.232570+3730023544 1919 9.461670+3 1.047680+3 9.986031+3 9.274580+2 1.082760+4 7.724870+2730023544 1920 1.174000+4 6.434100+2 1.248170+4 5.554970+2 1.368300+4 4.456280+2730023544 1921 1.500000+4 3.574900+2 1.611850+4 2.983910+2 1.701190+4 2.605710+2730023544 1922 1.844550+4 2.126370+2 2.000000+4 1.735200+2 2.103980+4 1.517350+2730023544 1923 2.299120+4 1.199830+2 2.457260+4 1.006120+2 2.582970+4 8.816450+1730023544 1924 2.783680+4 7.232060+1 3.000000+4 5.932400+1 3.197810+4 4.961280+1730023544 1925 3.381560+4 4.242890+1 3.550980+4 3.700160+1 3.868160+4 2.912050+1730023544 1926 4.124490+4 2.433230+1 4.327830+4 2.126530+1 4.651790+4 1.737410+1730023544 1927 5.000000+4 1.419500+1 5.221370+4 1.249790+1 5.663190+4 9.843660+0730023544 1928 6.080350+4 7.987940+0 6.470500+4 6.653550+0 6.832350+4 5.670150+0730023544 1929 7.165540+4 4.929670+0 7.470379+4 4.361530+0 8.035390+4 3.520260+0730023544 1930 8.487020+4 2.997620+0 9.212500+4 2.355480+0 1.000000+5 1.850900+0730023544 1931 1.044270+5 1.626830+0 1.132640+5 1.277220+0 1.216070+5 1.033530+0730023544 1932 1.294100+5 8.587690-1 1.366470+5 7.302700-1 1.433110+5 6.337090-1730023544 1933 1.494080+5 5.597520-1 1.607080+5 4.504850-1 1.697400+5 3.827760-1730023544 1934 1.842500+5 2.998060-1 2.000000+5 2.348200-1 2.103980+5 2.027560-1730023544 1935 2.199390+5 1.783120-1 2.376880+5 1.424120-1 2.519330+5 1.203150-1730023544 1936 2.631750+5 1.060220-1 2.809850+5 8.770370-2 3.000000+5 7.255000-2730023544 1937 3.223710+5 5.940450-2 3.402370+5 5.113350-2 3.689100+5 4.083520-2730023544 1938 4.000000+5 3.261100-2 4.229490+5 2.811070-2 4.598630+5 2.249740-2730023544 1939 5.000000+5 1.800500-2 5.477230+5 1.427010-2 6.000000+5 1.131000-2730023544 1940 6.447420+5 9.516670-3 6.804750+5 8.360880-3 7.378210+5 6.884970-3730023544 1941 8.000000+5 5.669600-3 8.458970+5 5.004750-3 9.197270+5 4.150770-3730023544 1942 1.000000+6 3.442500-3 1.022000+6 3.291040-3 1.130270+6 2.697670-3730023544 1943 1.250000+6 2.211280-3 1.369310+6 1.871910-3 1.500000+6 1.584630-3730023544 1944 1.611850+6 1.397860-3 1.795470+6 1.158160-3 2.000000+6 9.595640-4730023544 1945 2.044000+6 9.251800-4 2.249780+6 7.946440-4 2.417610+6 7.089770-4730023544 1946 2.693110+6 5.974780-4 3.000000+6 5.035140-4 3.464100+6 4.080350-4730023544 1947 4.000000+6 3.306620-4 4.472140+6 2.834200-4 5.000000+6 2.429270-4730023544 1948 5.477230+6 2.152340-4 6.000000+6 1.906980-4 7.000000+6 1.564080-4730023544 1949 8.000000+6 1.323020-4 9.000000+6 1.144560-4 1.000000+7 1.008150-4730023544 1950 1.100000+7 8.994860-5 1.200000+7 8.118450-5 1.300000+7 7.395270-5730023544 1951 1.400000+7 6.788890-5 1.500000+7 6.273130-5 1.600000+7 5.829330-5730023544 1952 1.800000+7 5.105210-5 2.000000+7 4.539940-5 2.200000+7 4.086790-5730023544 1953 2.400000+7 3.714920-5 2.600000+7 3.404720-5 2.800000+7 3.142170-5730023544 1954 3.000000+7 2.917000-5 3.464100+7 2.502620-5 4.000000+7 2.147110-5730023544 1955 4.472140+7 1.909220-5 5.000000+7 1.697690-5 6.000000+7 1.404310-5730023544 1956 6.928200+7 1.210080-5 8.000000+7 1.042720-5 8.944271+7 9.300220-6730023544 1957 1.000000+8 8.295040-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0730023544 1958 730023 0 1959 7.300000+4 1.793940+2 0 0 0 0730023545 1960 3.973600+2 0.000000+0 0 0 1 152730023545 1961 152 2 0 0 0 0730023545 1962 3.973600+2 0.000000+0 3.973600+2 2.273360+5 4.004730+2 2.370320+5730023545 1963 4.117980+2 2.453050+5 5.000000+2 2.222110+5 6.000000+2 1.965130+5730023545 1964 7.000000+2 1.728130+5 7.937250+2 1.517460+5 9.000000+2 1.332470+5730023545 1965 1.000000+3 1.176200+5 1.164220+3 9.600120+4 1.355400+3 7.835590+4730023545 1966 1.458040+3 7.007710+4 1.626760+3 5.926970+4 1.815000+3 5.012900+4730023545 1967 1.962120+3 4.390550+4 2.205470+3 3.598840+4 2.479000+3 2.949900+4730023545 1968 2.727090+3 2.476810+4 3.000000+3 2.079600+4 3.223710+3 1.807010+4730023545 1969 3.590940+3 1.463630+4 4.000000+3 1.185500+4 4.426730+3 9.563790+3730023545 1970 4.776390+3 8.140980+3 5.056650+3 7.214590+3 5.508170+3 6.018850+3730023545 1971 6.000000+3 5.021300+3 6.447420+3 4.263150+3 6.804750+3 3.770650+3730023545 1972 7.378210+3 3.136500+3 8.000000+3 2.609000+3 8.805100+3 2.067420+3730023545 1973 9.461670+3 1.736370+3 9.986031+3 1.523370+3 1.082760+4 1.251830+3730023545 1974 1.174000+4 1.028700+3 1.248170+4 8.791120+2 1.368300+4 6.945090+2730023545 1975 1.500000+4 5.486700+2 1.611850+4 4.524030+2 1.701190+4 3.914580+2730023545 1976 1.844550+4 3.150840+2 2.000000+4 2.536100+2 2.103980+4 2.197990+2730023545 1977 2.199390+4 1.939330+2 2.376880+4 1.557750+2 2.519330+4 1.321700+2730023545 1978 2.631750+4 1.168440+2 2.809850+4 9.712280+1 3.000000+4 8.073000+1730023545 1979 3.223710+4 6.529150+1 3.402370+4 5.568310+1 3.689100+4 4.385540+1730023545 1980 4.000000+4 3.454000+1 4.274780+4 2.815340+1 4.530660+4 2.354170+1730023545 1981 4.767080+4 2.013060+1 4.984050+4 1.755390+1 5.387780+4 1.381270+1730023545 1982 5.711900+4 1.154000+1 5.967720+4 1.008440+1 6.373090+4 8.237970+0730023545 1983 6.806000+4 6.729600+0 7.150590+4 5.747850+0 7.489470+4 4.957950+0730023545 1984 7.821750+4 4.316300+0 8.146629+4 3.790380+0 8.792600+4 2.970830+0730023545 1985 9.399700+4 2.400490+0 9.965200+4 1.992020+0 1.048790+5 1.692050+0730023545 1986 1.096760+5 1.466870+0 1.140540+5 1.294570+0 1.221390+5 1.040290+0730023545 1987 1.285770+5 8.829350-1 1.388760+5 6.903810-1 1.500000+5 5.398200-1730023545 1988 1.611850+5 4.291250-1 1.701190+5 3.612730-1 1.771420+5 3.175220-1730023545 1989 1.882240+5 2.616260-1 2.000000+5 2.155700-1 2.103980+5 1.842610-1730023545 1990 2.199390+5 1.606200-1 2.376880+5 1.263100-1 2.519330+5 1.054790-1730023545 1991 2.631750+5 9.214300-2 2.809850+5 7.523280-2 3.000000+5 6.142600-2730023545 1992 3.223710+5 4.970190-2 3.402370+5 4.240220-2 3.689100+5 3.341270-2730023545 1993 4.000000+5 2.632900-2 4.229490+5 2.253160-2 4.598630+5 1.783730-2730023545 1994 5.000000+5 1.412100-2 5.233180+5 1.251410-2 5.603490+5 1.044010-2730023545 1995 6.000000+5 8.709800-3 6.447420+5 7.290340-3 6.804750+5 6.379730-3730023545 1996 7.378210+5 5.222570-3 8.000000+5 4.275300-3 8.458970+5 3.763960-3730023545 1997 9.197270+5 3.109300-3 1.000000+6 2.568500-3 1.022000+6 2.454470-3730023545 1998 1.130270+6 2.010940-3 1.250000+6 1.647550-3 1.369310+6 1.395680-3730023545 1999 1.500000+6 1.182320-3 1.611850+6 1.042970-3 1.795470+6 8.641220-4730023545 2000 2.000000+6 7.159440-4 2.044000+6 6.902900-4 2.249780+6 5.928950-4730023545 2001 2.417610+6 5.289780-4 2.693110+6 4.457870-4 3.000000+6 3.756790-4730023545 2002 3.464100+6 3.044410-4 4.000000+6 2.467120-4 4.472140+6 2.114640-4730023545 2003 5.000000+6 1.812520-4 5.477230+6 1.605900-4 6.000000+6 1.422830-4730023545 2004 7.000000+6 1.166980-4 8.000000+6 9.871250-5 9.000000+6 8.539750-5730023545 2005 1.000000+7 7.521950-5 1.100000+7 6.711200-5 1.200000+7 6.057290-5730023545 2006 1.300000+7 5.517720-5 1.400000+7 5.065290-5 1.500000+7 4.680480-5730023545 2007 1.600000+7 4.349350-5 1.800000+7 3.809080-5 2.000000+7 3.387320-5730023545 2008 2.200000+7 3.049210-5 2.400000+7 2.771760-5 2.600000+7 2.540310-5730023545 2009 2.800000+7 2.344420-5 3.000000+7 2.176420-5 3.464100+7 1.867240-5730023545 2010 4.000000+7 1.601990-5 4.472140+7 1.424500-5 5.000000+7 1.266670-5730023545 2011 6.000000+7 1.047770-5 6.928200+7 9.028580-6 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9.955350+3-2.317830+1730027506 2977 1.000150+4-2.170290+1 1.006020+4-1.993650+1 1.011150+4-1.879600+1730027506 2978 1.018060+4-1.774350+1 1.032440+4-1.640400+1 1.045220+4-1.561950+1730027506 2979 1.071690+4-1.492200+1 1.086850+4-1.503070+1 1.097790+4-1.563960+1730027506 2980 1.105200+4-1.638500+1 1.111700+4-1.695250+1 1.116300+4-1.702190+1730027506 2981 1.122530+4-1.654040+1 1.128780+4-1.569040+1 1.138270+4-1.452520+1730027506 2982 1.148580+4-1.397720+1 1.158290+4-1.390460+1 1.165480+4-1.363350+1730027506 2983 1.171620+4-1.304400+1 1.178630+4-1.214240+1 1.188890+4-1.087710+1730027506 2984 1.196710+4-1.018020+1 1.210780+4-9.207910+0 1.237860+4-7.864960+0730027506 2985 1.266590+4-6.776390+0 1.292330+4-6.055100+0 1.359270+4-4.574250+0730027506 2986 1.392970+4-3.969680+0 1.436560+4-3.340780+0 1.491580+4-2.624960+0730027506 2987 1.525590+4-2.237220+0 1.562540+4-1.905740+0 1.611850+4-1.451970+0730027506 2988 1.623990+4-1.359480+0 1.710600+4-8.254250-1 1.733200+4-7.035550-1730027506 2989 1.752370+4-6.194920-1 1.807790+4-4.515050-1 1.833520+4-3.647350-1730027506 2990 1.848540+4-3.186020-1 1.884610+4-2.252370-1 1.892270+4-2.048060-1730027506 2991 1.947600+4-9.729930-2 1.968260+4-5.943950-2 1.976970+4-4.503150-2730027506 2992 2.000000+4-1.841810-2 2.013340+4-4.234770-3 2.022850+4 6.568920-3730027506 2993 2.028010+4 1.233280-2 2.043800+4 3.045560-2 2.081790+4 8.036140-2730027506 2994 2.101100+4 1.059550-1 2.122720+4 1.283880-1 2.133320+4 1.360490-1730027506 2995 2.194520+4 1.608960-1 2.242480+4 1.784200-1 2.276200+4 1.921210-1730027506 2996 2.371300+4 2.027980-1 2.500940+4 1.940350-1 2.566740+4 1.792330-1730027506 2997 2.624580+4 1.647360-1 2.708120+4 1.374860-1 2.729640+4 1.264950-1730027506 2998 2.766470+4 1.052780-1 2.838290+4 7.485120-2 2.881900+4 5.374800-2730027506 2999 2.915270+4 3.707010-2 2.939610+4 2.526090-2 2.982900+4 4.152830-4730027506 3000 2.988450+4-3.535850-3 3.002560+4-1.425800-2 3.026190+4-3.148890-2730027506 3001 3.150320+4-1.057460-1 3.197810+4-1.333740-1 3.215580+4-1.447600-1730027506 3002 3.244920+4-1.668920-1 3.310950+4-2.088440-1 3.554440+4-3.442980-1730027506 3003 3.776190+4-4.890750-1 4.126680+4-7.321920-1 4.434270+4-9.377480-1730027506 3004 4.853080+4-1.258460+0 5.008210+4-1.384300+0 5.332010+4-1.672760+0730027506 3005 5.839100+4-2.266990+0 6.167070+4-2.858650+0 6.323930+4-3.278930+0730027506 3006 6.497880+4-4.016660+0 6.562220+4-4.459590+0 6.607750+4-4.918110+0730027506 3007 6.627410+4-5.182100+0 6.644490+4-5.453530+0 6.657850+4-5.692310+0730027506 3008 6.672330+4-5.972520+0 6.680060+4-6.127940+0 6.689310+4-6.313790+0730027506 3009 6.701140+4-6.540810+0 6.714120+4-6.764040+0 6.728690+4-6.958800+0730027506 3010 6.758330+4-7.084300+0 6.787970+4-6.841900+0 6.815430+4-6.345830+0730027506 3011 6.841750+4-5.778070+0 6.875050+4-5.124570+0 6.906790+4-4.608670+0730027506 3012 6.966310+4-3.945140+0 7.070470+4-3.208370+0 7.150590+4-2.801810+0730027506 3013 7.265760+4-2.347150+0 7.397530+4-1.970110+0 7.667290+4-1.381680+0730027506 3014 7.813570+4-1.138390+0 7.951660+4-9.597090-1 8.294190+4-5.970010-1730027506 3015 8.465450+4-4.451990-1 8.655660+4-3.233530-1 8.970720+4-1.455040-1730027506 3016 9.048090+4-1.009520-1 9.253770+4 2.500840-3 9.356620+4 4.439520-2730027506 3017 9.698840+4 1.385700-1 1.005790+5 2.532160-1 1.025670+5 3.041230-1730027506 3018 1.032720+5 3.188080-1 1.049190+5 3.351320-1 1.110030+5 4.381370-1730027506 3019 1.126760+5 4.574140-1 1.143200+5 4.623260-1 1.201610+5 5.127960-1730027506 3020 1.216070+5 5.165270-1 1.225390+5 5.140790-1 1.310780+5 5.557600-1730027506 3021 1.334930+5 5.524540-1 1.372260+5 5.546800-1 1.415770+5 5.605700-1730027506 3022 1.556600+5 5.395950-1 1.698960+5 5.162330-1 1.825990+5 4.865570-1730027506 3023 1.954080+5 4.571830-1 2.105970+5 4.236960-1 2.299120+5 3.804290-1730027506 3024 2.491930+5 3.409070-1 2.719340+5 3.008050-1 2.928640+5 2.686120-1730027506 3025 3.174130+5 2.366160-1 3.480680+5 2.027750-1 3.764490+5 1.760560-1730027506 3026 4.113140+5 1.450170-1 4.550780+5 1.177080-1 4.888230+5 1.003560-1730027506 3027 5.233180+5 8.522030-2 5.567370+5 7.197780-2 5.861120+5 6.136220-2730027506 3028 6.487980+5 4.521750-2 7.095580+5 3.261220-2 7.181880+5 3.092850-2730027506 3029 7.303960+5 2.817390-2 7.916940+5 1.971110-2 8.243470+5 1.563650-2730027506 3030 8.696620+5 1.034280-2 8.973840+5 7.951640-3 9.788540+5 1.430950-3730027506 3031 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0730027506 3032 730027 0 3033 7300 0 0 3034 0 0 0 3035 7.400000+4 1.822710+2 -1 0 2 27400 1451 1 0.000000+0 0.000000+0 0 0 0 67400 1451 2 0.000000+0 0.000000+0 0 0 3 27400 1451 3 0.000000+0 0.000000+0 0 0 146 347400 1451 4 74-W LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7400 1451 6 ----JEF-2 MATERIAL 7400 REVISION 0 7400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7400 1451 8 ------ENDF-6 FORMAT 7400 1451 9 ******************************************************************7400 1451 10 * JEF-2 *7400 1451 11 * DATA TAKEN FROM EPDL *7400 1451 12 ******************************************************************7400 1451 13 =================================================================7400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7400 1451 15 ENDF/B-VI FORMAT 7400 1451 16 =================================================================7400 1451 17 CONTENTS 7400 1451 18 =================================================================7400 1451 19 MF/MT DESCRIPTION 7400 1451 20 =================================================================7400 1451 21 23/501 TOTAL CROSS SECTION 7400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 50 =================================================================7400 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7400 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7400 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7400 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7400 1451 55 =================================================================7400 1451 56 WARNING 7400 1451 57 =================================================================7400 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7400 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7400 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7400 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7400 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7400 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7400 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7400 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7400 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7400 1451 67 =================================================================7400 1451 68 DEFINITION OF NEW TYPES OF DATA 7400 1451 69 =================================================================7400 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7400 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7400 1451 72 7400 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7400 1451 74 C2 FIELDS ARE, 7400 1451 75 7400 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7400 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7400 1451 78 7400 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7400 1451 80 7400 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7400 1451 82 7400 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7400 1451 84 T = THE THOMSON CROSS SECTION 7400 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7400 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7400 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7400 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7400 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7400 1451 90 7400 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7400 1451 92 7400 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7400 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7400 1451 95 =================================================================7400 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7400 1451 97 =================================================================7400 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7400 1451 99 HERE - 10 EV TO 100 MEV 7400 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7400 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7400 1451 102 HERE - PHOTON INTERACTION 7400 1451 103 - AVERAGE FLUORESCENCE YIELD 7400 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7400 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7400 1451 106 HERE - NO SECONDARY ENERGY DATA 7400 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7400 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7400 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7400 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7400 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7400 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7400 1451 113 (SINCE THEY CAN BE NEGATIVE). 7400 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7400 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7400 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7400 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7400 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7400 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7400 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7400 1451 121 =================================================================7400 1451 122 REFERENCES 7400 1451 123 =================================================================7400 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7400 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7400 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7400 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7400 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7400 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7400 1451 130 7400 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7400 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7400 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7400 1451 134 OF THE DATA, ETC. 7400 1451 135 =================================================================7400 1451 136 HISTORY 7400 1451 137 =================================================================7400 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7400 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7400 1451 140 CROSS SECTIONS. 7400 1451 141 =================================================================7400 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7400 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7400 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7400 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7400 1451 146 *RECONSTRUCTED MT NUMBERS 7400 1451 147 516 =+(515,515)+(517,517) 7400 1451 148 522 =+(534,572) 7400 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7400 1451 150 1 451 184 17400 1451 151 23 501 564 17400 1451 152 23 502 124 17400 1451 153 23 504 31 17400 1451 154 23 515 30 17400 1451 155 23 516 59 17400 1451 156 23 517 42 17400 1451 157 23 522 401 27400 1451 158 23 534 31 27400 1451 159 23 535 38 27400 1451 160 23 536 43 27400 1451 161 23 537 44 27400 1451 162 23 538 43 27400 1451 163 23 539 46 27400 1451 164 23 540 49 27400 1451 165 23 541 60 27400 1451 166 23 542 62 27400 1451 167 23 543 48 27400 1451 168 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4.821940+4 1.000000+3 4.208200+4740023544 1923 1.121850+3 3.825790+4 1.258540+3 3.478130+4 1.500000+3 2.833000+4740023544 1924 1.732050+3 2.354670+4 2.000000+3 1.957100+4 2.178810+3 1.719800+4740023544 1925 2.477440+3 1.416690+4 2.817000+3 1.167000+4 3.075070+3 1.003790+4740023544 1926 3.284020+3 8.965500+3 3.624380+3 7.567800+3 4.000000+3 6.388000+3740023544 1927 4.472140+3 5.181830+3 5.000000+3 4.203400+3 5.477230+3 3.510310+3740023544 1928 6.000000+3 2.931500+3 6.447420+3 2.522720+3 7.181880+3 2.013900+3740023544 1929 8.000000+3 1.607700+3 8.788180+3 1.302360+3 9.429871+3 1.112050+3740023544 1930 9.941701+3 9.878030+2 1.076200+4 8.269680+2 1.165000+4 6.923200+2740023544 1931 1.240990+4 5.958210+2 1.364360+4 4.756960+2 1.500000+4 3.797900+2740023544 1932 1.611850+4 3.174100+2 1.701190+4 2.774460+2 1.844550+4 2.267330+2740023544 1933 2.000000+4 1.852900+2 2.103980+4 1.621690+2 2.299120+4 1.284320+2740023544 1934 2.457260+4 1.078210+2 2.582970+4 9.456340+1 2.783680+4 7.767030+1740023544 1935 3.000000+4 6.379500+1 3.197810+4 5.340850+1 3.381560+4 4.571740+1740023544 1936 3.550980+4 3.990190+1 3.868160+4 3.144780+1 4.124490+4 2.630500+1740023544 1937 4.327830+4 2.300770+1 4.651790+4 1.882030+1 5.000000+4 1.539500+1740023544 1938 5.302550+4 1.297820+1 5.582270+4 1.117690+1 5.839100+4 9.807040+0740023544 1939 6.317300+4 7.801330+0 6.701490+4 6.571160+0 7.004880+4 5.777590+0740023544 1940 7.485920+4 4.763250+0 8.000000+4 3.927000+0 8.471520+4 3.313520+0740023544 1941 8.938779+4 2.825720+0 9.400210+4 2.433830+0 9.854410+4 2.115950+0740023544 1942 1.030010+5 1.855750+0 1.073630+5 1.640940+0 1.160450+5 1.302930+0740023544 1943 1.242160+5 1.064810+0 1.318360+5 8.924360-1 1.388860+5 7.646630-1740023544 1944 1.453630+5 6.679610-1 1.574340+5 5.272210-1 1.671400+5 4.414940-1740023544 1945 1.748110+5 3.864760-1 1.869820+5 3.165340-1 2.000000+5 2.592500-1740023544 1946 2.103980+5 2.239940-1 2.199390+5 1.971020-1 2.376880+5 1.575740-1740023544 1947 2.519330+5 1.332230-1 2.631750+5 1.174630-1 2.809850+5 9.724870-2740023544 1948 3.000000+5 8.051300-2 3.223710+5 6.596310-2 3.402370+5 5.680390-2740023544 1949 3.689100+5 4.539340-2 4.000000+5 3.627500-2 4.229490+5 3.128190-2740023544 1950 4.598630+5 2.505090-2 5.000000+5 2.006100-2 5.477230+5 1.590940-2740023544 1951 6.000000+5 1.261700-2 6.447420+5 1.061990-2 6.804750+5 9.332370-3740023544 1952 7.378210+5 7.687780-3 8.000000+5 6.333000-3 8.458970+5 5.591700-3740023544 1953 9.197270+5 4.639230-3 1.000000+6 3.849000-3 1.022000+6 3.680150-3740023544 1954 1.130270+6 3.018050-3 1.250000+6 2.475070-3 1.369310+6 2.093910-3740023544 1955 1.500000+6 1.771450-3 1.611850+6 1.562380-3 1.795470+6 1.294110-3740023544 1956 2.000000+6 1.071910-3 2.044000+6 1.034580-3 2.249780+6 8.883830-4740023544 1957 2.417610+6 7.924610-4 2.693110+6 6.676420-4 3.000000+6 5.624830-4740023544 1958 3.464100+6 4.557830-4 4.000000+6 3.693230-4 4.472140+6 3.165220-4740023544 1959 5.000000+6 2.712690-4 5.477230+6 2.403230-4 6.000000+6 2.129080-4740023544 1960 7.000000+6 1.745910-4 8.000000+6 1.476700-4 9.000000+6 1.277250-4740023544 1961 1.000000+7 1.123980-4 1.100000+7 1.003140-4 1.200000+7 9.055730-5740023544 1962 1.300000+7 8.249090-5 1.400000+7 7.572150-5 1.500000+7 6.996400-5740023544 1963 1.600000+7 6.501220-5 1.800000+7 5.693600-5 2.000000+7 5.062840-5740023544 1964 2.200000+7 4.556850-5 2.400000+7 4.142230-5 2.600000+7 3.796390-5740023544 1965 2.800000+7 3.503600-5 3.000000+7 3.252080-5 3.464100+7 2.789890-5740023544 1966 4.000000+7 2.393380-5 4.472140+7 2.128690-5 5.000000+7 1.893280-5740023544 1967 6.000000+7 1.565130-5 6.928200+7 1.348760-5 8.000000+7 1.162300-5740023544 1968 8.944271+7 1.036620-5 1.000000+8 9.245350-6 0.000000+0 0.000000+0740023544 1969 740023 0 1970 7.400000+4 1.822710+2 0 0 0 0740023545 1971 4.196200+2 0.000000+0 0 0 1 151740023545 1972 151 2 0 0 0 0740023545 1973 4.196200+2 0.000000+0 4.196200+2 2.365750+5 5.000000+2 2.241950+5740023545 1974 6.000000+2 1.988580+5 6.928200+2 1.751220+5 8.000000+2 1.542190+5740023545 1975 8.944270+2 1.361340+5 1.000000+3 1.201700+5 1.164220+3 9.836800+4740023545 1976 1.355400+3 8.052140+4 1.493850+3 6.929130+4 1.606900+3 6.190900+4740023545 1977 1.792710+3 5.228380+4 2.000000+3 4.415500+4 2.178810+3 3.801990+4740023545 1978 2.477440+3 3.037790+4 2.817000+3 2.427200+4 3.075070+3 2.050670+4740023545 1979 3.284020+3 1.807120+4 3.624380+3 1.494950+4 4.000000+3 1.236700+4740023545 1980 4.426730+3 9.989781+3 4.776390+3 8.511871+3 5.056650+3 7.548780+3740023545 1981 5.508170+3 6.304550+3 6.000000+3 5.265400+3 6.447420+3 4.474380+3740023545 1982 6.804750+3 3.960130+3 7.378210+3 3.297410+3 8.000000+3 2.745600+3740023545 1983 8.788180+3 2.188480+3 9.429871+3 1.846170+3 9.941701+3 1.625050+3740023545 1984 1.076200+4 1.342030+3 1.165000+4 1.108300+3 1.240990+4 9.435130+2740023545 1985 1.301210+4 8.362110+2 1.397080+4 6.976990+2 1.500000+4 5.821300+2740023545 1986 1.611850+4 4.804480+2 1.701190+4 4.160210+2 1.844550+4 3.352120+2740023545 1987 2.000000+4 2.701000+2 2.103980+4 2.342430+2 2.199390+4 2.067950+2740023545 1988 2.376880+4 1.662720+2 2.519330+4 1.411810+2 2.631750+4 1.248810+2740023545 1989 2.809850+4 1.038900+2 3.000000+4 8.642800+1 3.223710+4 6.996270+1740023545 1990 3.402370+4 5.970700+1 3.689100+4 4.707220+1 4.000000+4 3.711100+1740023545 1991 4.207960+4 3.179740+1 4.398770+4 2.777610+1 4.753750+4 2.192340+1740023545 1992 5.038660+4 1.835840+1 5.263490+4 1.607060+1 5.619690+4 1.316210+1740023545 1993 6.000000+4 1.078000+1 6.395620+4 8.813470+0 6.763120+4 7.389390+0740023545 1994 7.101970+4 6.333410+0 7.412360+4 5.533990+0 7.988540+4 4.370080+0740023545 1995 8.449879+4 3.660810+0 8.813290+4 3.205490+0 9.387910+4 2.626440+0740023545 1996 1.000000+5 2.152000+0 1.044270+5 1.874050+0 1.087560+5 1.646170+0740023545 1997 1.173610+5 1.290910+0 1.254480+5 1.043560+0 1.329790+5 8.663350-1740023545 1998 1.399390+5 7.361350-1 1.463280+5 6.383670-1 1.521560+5 5.635330-1740023545 1999 1.629200+5 4.530590-1 1.714900+5 3.846640-1 1.851970+5 3.009340-1740023545 2000 2.000000+5 2.354300-1 2.103980+5 2.013000-1 2.199390+5 1.755210-1740023545 2001 2.376880+5 1.380950-1 2.519330+5 1.153630-1 2.631750+5 1.008040-1740023545 2002 2.809850+5 8.233840-2 3.000000+5 6.725500-2 3.223710+5 5.443550-2740023545 2003 3.402370+5 4.645160-2 3.689100+5 3.661670-2 4.000000+5 2.886400-2740023545 2004 4.229490+5 2.470550-2 4.598630+5 1.956370-2 5.000000+5 1.549200-2740023545 2005 5.233180+5 1.372990-2 5.603490+5 1.145530-2 6.000000+5 9.557500-3740023545 2006 6.447420+5 7.999200-3 6.804750+5 6.999610-3 7.378210+5 5.729460-3740023545 2007 8.000000+5 4.689800-3 8.458970+5 4.128950-3 9.197270+5 3.410890-3740023545 2008 1.000000+6 2.817700-3 1.022000+6 2.692870-3 1.130270+6 2.207470-3740023545 2009 1.250000+6 1.809570-3 1.369310+6 1.531880-3 1.500000+6 1.296810-3740023545 2010 1.611850+6 1.143760-3 1.795470+6 9.473700-4 2.000000+6 7.847030-4740023545 2011 2.044000+6 7.573710-4 2.249780+6 6.503470-4 2.417610+6 5.801270-4740023545 2012 2.693110+6 4.887530-4 3.000000+6 4.117710-4 3.464100+6 3.336600-4740023545 2013 4.000000+6 2.703660-4 4.472140+6 2.317120-4 5.000000+6 1.985850-4740023545 2014 5.477230+6 1.759310-4 6.000000+6 1.558620-4 7.000000+6 1.278110-4740023545 2015 8.000000+6 1.081030-4 9.000000+6 9.350260-5 1.000000+7 8.228230-5740023545 2016 1.100000+7 7.343550-5 1.200000+7 6.629340-5 1.300000+7 6.038830-5740023545 2017 1.400000+7 5.543270-5 1.500000+7 5.121790-5 1.600000+7 4.759280-5740023545 2018 1.800000+7 4.168060-5 2.000000+7 3.706300-5 2.200000+7 3.335890-5740023545 2019 2.400000+7 3.032360-5 2.600000+7 2.779190-5 2.800000+7 2.564850-5740023545 2020 3.000000+7 2.380720-5 3.464100+7 2.042370-5 4.000000+7 1.752100-5740023545 2021 4.472140+7 1.558340-5 5.000000+7 1.386000-5 6.000000+7 1.145770-5740023545 2022 6.928200+7 9.873730-6 8.000000+7 8.508740-6 8.944271+7 7.588700-6740023545 2023 1.000000+8 6.768150-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0740023545 2024 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1451 4 75-RE LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7500 1451 6 ----JEF-2 MATERIAL 7500 REVISION 0 7500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7500 1451 8 ------ENDF-6 FORMAT 7500 1451 9 ******************************************************************7500 1451 10 * JEF-2 *7500 1451 11 * DATA TAKEN FROM EPDL *7500 1451 12 ******************************************************************7500 1451 13 =================================================================7500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7500 1451 15 ENDF/B-VI FORMAT 7500 1451 16 =================================================================7500 1451 17 CONTENTS 7500 1451 18 =================================================================7500 1451 19 MF/MT DESCRIPTION 7500 1451 20 =================================================================7500 1451 21 23/501 TOTAL CROSS SECTION 7500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 50 =================================================================7500 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7500 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7500 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7500 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7500 1451 55 =================================================================7500 1451 56 WARNING 7500 1451 57 =================================================================7500 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7500 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7500 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7500 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7500 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7500 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7500 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7500 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7500 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7500 1451 67 =================================================================7500 1451 68 DEFINITION OF NEW TYPES OF DATA 7500 1451 69 =================================================================7500 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7500 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7500 1451 72 7500 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7500 1451 74 C2 FIELDS ARE, 7500 1451 75 7500 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7500 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7500 1451 78 7500 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7500 1451 80 7500 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7500 1451 82 7500 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7500 1451 84 T = THE THOMSON CROSS SECTION 7500 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7500 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7500 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7500 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7500 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7500 1451 90 7500 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7500 1451 92 7500 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7500 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7500 1451 95 =================================================================7500 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7500 1451 97 =================================================================7500 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7500 1451 99 HERE - 10 EV TO 100 MEV 7500 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7500 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7500 1451 102 HERE - PHOTON INTERACTION 7500 1451 103 - AVERAGE FLUORESCENCE YIELD 7500 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7500 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7500 1451 106 HERE - NO SECONDARY ENERGY DATA 7500 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7500 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7500 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7500 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7500 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7500 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7500 1451 113 (SINCE THEY CAN BE NEGATIVE). 7500 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7500 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7500 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7500 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7500 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7500 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7500 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7500 1451 121 =================================================================7500 1451 122 REFERENCES 7500 1451 123 =================================================================7500 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7500 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7500 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7500 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7500 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7500 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7500 1451 130 7500 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7500 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7500 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7500 1451 134 OF THE DATA, ETC. 7500 1451 135 =================================================================7500 1451 136 HISTORY 7500 1451 137 =================================================================7500 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7500 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7500 1451 140 CROSS SECTIONS. 7500 1451 141 =================================================================7500 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7500 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7500 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7500 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7500 1451 146 *RECONSTRUCTED MT NUMBERS 7500 1451 147 516 =+(515,515)+(517,517) 7500 1451 148 522 =+(534,572) 7500 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7500 1451 150 1 451 184 17500 1451 151 23 501 542 17500 1451 152 23 502 127 17500 1451 153 23 504 31 17500 1451 154 23 515 30 17500 1451 155 23 516 60 17500 1451 156 23 517 42 17500 1451 157 23 522 379 27500 1451 158 23 534 31 27500 1451 159 23 535 38 27500 1451 160 23 536 43 27500 1451 161 23 537 44 27500 1451 162 23 538 43 27500 1451 163 23 539 46 27500 1451 164 23 540 49 27500 1451 165 23 541 62 27500 1451 166 23 542 62 27500 1451 167 23 543 48 27500 1451 168 23 544 51 27500 1451 169 23 545 54 27500 1451 170 23 546 64 27500 1451 171 23 547 64 27500 1451 172 23 548 80 27500 1451 173 23 549 81 27500 1451 174 23 550 53 27500 1451 175 23 551 61 27500 1451 176 23 552 63 27500 1451 177 23 553 77 27500 1451 178 23 554 78 27500 1451 179 23 559 64 27500 1451 180 27 502 50 17500 1451 181 27 504 47 17500 1451 182 27 505 110 17500 1451 183 27 506 110 17500 1451 184 7500 1 0 185 7500 0 0 186 7.500000+4 1.846010+2 0 0 0 0750023501 187 0.000000+0 0.000000+0 0 0 1 1616750023501 188 1616 2 0 0 0 0750023501 189 1.000000+1 1.304320+7 1.038740+1 1.335150+7 1.048010+1 1.344250+7750023501 190 1.073870+1 1.369640+7 1.098320+1 1.396960+7 1.105590+1 1.405090+7750023501 191 1.154780+1 1.467040+7 1.163350+1 1.477830+7 1.164220+1 1.479040+7750023501 192 1.182160+1 1.505800+7 1.208650+1 1.545320+7 1.272740+1 1.647670+7750023501 193 1.279920+1 1.659140+7 1.321580+1 1.729660+7 1.355400+1 1.786920+7750023501 194 1.365690+1 1.804400+7 1.410210+1 1.880040+7 1.437700+1 1.927820+7750023501 195 1.459980+1 1.966550+7 1.499770+1 2.036840+7 1.500000+1 2.037240+7750023501 196 1.504970+1 2.044590+7 1.587070+1 2.168390+7 1.651560+1 2.267300+7750023501 197 1.688590+1 2.324660+7 1.701650+1 2.344890+7 1.760150+1 2.436280+7750023501 198 1.779640+1 2.466730+7 1.795470+1 2.491670+7 1.861210+1 2.553260+7750023501 199 1.887140+1 2.577840+7 1.929360+1 2.617860+7 2.000000+1 2.685230+7750023501 200 2.094430+1 2.713030+7 2.103980+1 2.715840+7 2.213360+1 2.748540+7750023501 201 2.269350+1 2.735120+7 2.332120+1 2.720080+7 2.388200+1 2.706760+7750023501 202 2.457260+1 2.657710+7 2.479150+1 2.642230+7 2.546440+1 2.594630+7750023501 203 2.638790+1 2.529320+7 2.676670+1 2.502610+7 2.874410+1 2.291890+7750023501 204 3.000000+1 2.158210+7 3.021280+1 2.131260+7 3.170720+1 1.941980+7750023501 205 3.194860+1 1.911400+7 3.223710+1 1.881020+7 3.402370+1 1.693020+7750023501 206 3.508870+1 1.580010+7 3.581040+1 1.503420+7 3.590940+1 1.492920+7750023501 207 3.689100+1 1.388790+7 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3.174230+4 1.500000+3 2.855500+4750023544 1886 1.732050+3 2.384570+4 2.000000+3 1.991300+4 2.155230+3 1.784300+4750023544 1887 2.410940+3 1.513440+4 2.697000+3 1.283700+4 2.976290+3 1.087450+4750023544 1888 3.204580+3 9.602220+3 3.580270+3 7.967330+3 4.000000+3 6.610800+3750023544 1889 4.472140+3 5.375360+3 5.000000+3 4.370800+3 5.477230+3 3.656480+3750023544 1890 6.000000+3 3.058900+3 6.447420+3 2.635890+3 7.181880+3 2.108480+3750023544 1891 8.000000+3 1.686600+3 8.868170+3 1.340670+3 9.580590+3 1.128630+3750023544 1892 1.015220+4 9.919190+2 1.107420+4 8.172630+2 1.208000+4 6.733600+2750023544 1893 1.275180+4 5.922590+2 1.383030+4 4.885490+2 1.500000+4 4.030000+2750023544 1894 1.611850+4 3.372420+2 1.701190+4 2.950660+2 1.844550+4 2.414830+2750023544 1895 2.000000+4 1.976300+2 2.103980+4 1.731210+2 2.299120+4 1.373160+2750023544 1896 2.457260+4 1.154110+2 2.582970+4 1.013080+2 2.783680+4 8.331760+1750023544 1897 3.000000+4 6.852200+1 3.197810+4 5.742610+1 3.381560+4 4.920160+1750023544 1898 3.550980+4 4.297740+1 3.868160+4 3.391930+1 4.124490+4 2.840220+1750023544 1899 4.327830+4 2.486160+1 4.651790+4 2.036090+1 5.000000+4 1.667500+1750023544 1900 5.302550+4 1.407000+1 5.582270+4 1.212670+1 5.839100+4 1.064780+1750023544 1901 6.317300+4 8.480450+0 6.701490+4 7.149680+0 7.004880+4 6.290530+0750023544 1902 7.485920+4 5.191450+0 8.000000+4 4.284400+0 8.471520+4 3.617770+0750023544 1903 8.938779+4 3.087320+0 9.400210+4 2.660890+0 9.854410+4 2.314760+0750023544 1904 1.030010+5 2.031270+0 1.073630+5 1.797120+0 1.160450+5 1.428370+0750023544 1905 1.242160+5 1.168350+0 1.318360+5 9.799750-1 1.388860+5 8.402350-1750023544 1906 1.453630+5 7.344090-1 1.574340+5 5.802680-1 1.671400+5 4.862910-1750023544 1907 1.748110+5 4.259390-1 1.869820+5 3.491590-1 2.000000+5 2.862200-1750023544 1908 2.103980+5 2.474180-1 2.199390+5 2.178060-1 2.376880+5 1.742560-1750023544 1909 2.519330+5 1.474100-1 2.631750+5 1.300270-1 2.809850+5 1.077180-1750023544 1910 3.000000+5 8.923700-2 3.223710+5 7.315440-2 3.402370+5 6.302490-2750023544 1911 3.689100+5 5.039870-2 4.000000+5 4.030200-2 4.229490+5 3.476900-2750023544 1912 4.598630+5 2.786070-2 5.000000+5 2.232500-2 5.477230+5 1.771500-2750023544 1913 6.000000+5 1.405700-2 6.447420+5 1.183580-2 6.804750+5 1.040350-2750023544 1914 7.378210+5 8.573310-3 8.000000+5 7.065100-3 8.458970+5 6.239760-3750023544 1915 9.197270+5 5.178960-3 1.000000+6 4.298500-3 1.022000+6 4.109890-3750023544 1916 1.130270+6 3.369710-3 1.250000+6 2.762840-3 1.369310+6 2.337640-3750023544 1917 1.500000+6 1.977880-3 1.611850+6 1.744530-3 1.795470+6 1.445090-3750023544 1918 2.000000+6 1.197050-3 2.044000+6 1.154710-3 2.249780+6 9.915220-4750023544 1919 2.417610+6 8.844530-4 2.693110+6 7.451310-4 3.000000+6 6.277560-4750023544 1920 3.464100+6 5.085600-4 4.000000+6 4.119970-4 4.472140+6 3.530380-4750023544 1921 5.000000+6 3.025170-4 5.477230+6 2.680150-4 6.000000+6 2.374480-4750023544 1922 7.000000+6 1.946890-4 8.000000+6 1.645300-4 9.000000+6 1.423240-4750023544 1923 1.000000+7 1.252830-4 1.100000+7 1.118560-4 1.200000+7 1.009180-4750023544 1924 1.300000+7 9.191180-5 1.400000+7 8.437220-5 1.500000+7 7.794790-5750023544 1925 1.600000+7 7.243260-5 1.800000+7 6.342630-5 2.000000+7 5.639270-5750023544 1926 2.200000+7 5.075340-5 2.400000+7 4.613670-5 2.600000+7 4.228420-5750023544 1927 2.800000+7 3.902040-5 3.000000+7 3.622150-5 3.464100+7 3.107360-5750023544 1928 4.000000+7 2.665740-5 4.472140+7 2.370530-5 5.000000+7 2.108010-5750023544 1929 6.000000+7 1.742390-5 6.928200+7 1.501630-5 8.000000+7 1.294140-5750023544 1930 8.944271+7 1.154160-5 1.000000+8 1.029320-5 0.000000+0 0.000000+0750023544 1931 750023 0 1932 7.500000+4 1.846010+2 0 0 0 0750023545 1933 4.425900+2 0.000000+0 0 0 1 151750023545 1934 151 2 0 0 0 0750023545 1935 4.425900+2 0.000000+0 4.425900+2 2.292070+5 5.000000+2 2.256260+5750023545 1936 6.281500+2 1.942670+5 7.088860+2 1.745290+5 8.000000+2 1.567960+5750023545 1937 8.944270+2 1.386930+5 1.000000+3 1.226800+5 1.164220+3 1.006110+5750023545 1938 1.355400+3 8.251210+4 1.493850+3 7.113240+4 1.606900+3 6.364000+4750023545 1939 1.792710+3 5.385470+4 2.000000+3 4.557400+4 2.200900+3 3.857040+4750023545 1940 2.364710+3 3.403350+4 2.633570+3 2.820880+4 2.933000+3 2.338100+4750023545 1941 3.169560+3 2.014660+4 3.560650+3 1.611430+4 4.000000+3 1.288900+4750023545 1942 4.426730+3 1.042530+4 4.776390+3 8.891880+3 5.056650+3 7.891701+3750023545 1943 5.508170+3 6.598370+3 6.000000+3 5.517000+3 6.447420+3 4.692290+3750023545 1944 6.804750+3 4.155730+3 7.378210+3 3.463690+3 8.000000+3 2.886900+3750023545 1945 8.422911+3 2.550450+3 9.217500+3 2.053240+3 9.862270+3 1.745050+3750023545 1946 1.037530+4 1.544660+3 1.119520+4 1.286390+3 1.208000+4 1.071300+3750023545 1947 1.275180+4 9.332760+2 1.383030+4 7.588540+2 1.500000+4 6.170300+2750023545 1948 1.611850+4 5.097300+2 1.701190+4 4.416880+2 1.844550+4 3.562690+2750023545 1949 2.000000+4 2.873700+2 2.103980+4 2.493800+2 2.199390+4 2.202830+2750023545 1950 2.376880+4 1.772910+2 2.519330+4 1.506490+2 2.631750+4 1.333300+2750023545 1951 2.809850+4 1.110120+2 3.000000+4 9.242900+1 3.223710+4 7.488690+1750023545 1952 3.402370+4 6.395200+1 3.689100+4 5.046930+1 4.000000+4 3.982900+1750023545 1953 4.207960+4 3.414670+1 4.398770+4 2.984380+1 4.753750+4 2.357700+1750023545 1954 5.038660+4 1.975670+1 5.263490+4 1.730350+1 5.619690+4 1.418290+1750023545 1955 6.000000+4 1.162500+1 6.395620+4 9.510760+0 6.763120+4 7.978750+0750023545 1956 7.101970+4 6.842090+0 7.412360+4 5.981180+0 7.988540+4 4.726970+0750023545 1957 8.449879+4 3.962140+0 8.813290+4 3.470880+0 9.387910+4 2.845810+0750023545 1958 1.000000+5 2.333300+0 1.044270+5 2.032700+0 1.087560+5 1.786160+0750023545 1959 1.173610+5 1.401620+0 1.254480+5 1.133710+0 1.329790+5 9.416560-1750023545 1960 1.399390+5 8.004920-1 1.463280+5 6.944470-1 1.521560+5 6.132470-1750023545 1961 1.629200+5 4.933210-1 1.714900+5 4.190350-1 1.851970+5 3.280430-1750023545 1962 2.000000+5 2.568100-1 2.103980+5 2.196500-1 2.199390+5 1.915730-1750023545 1963 2.376880+5 1.507960-1 2.519330+5 1.260180-1 2.631750+5 1.101450-1750023545 1964 2.809850+5 9.000390-2 3.000000+5 7.354600-2 3.223710+5 5.954630-2750023545 1965 3.402370+5 5.082490-2 3.689100+5 4.007830-2 4.000000+5 3.160400-2750023545 1966 4.229490+5 2.705530-2 4.598630+5 2.142980-2 5.000000+5 1.697400-2750023545 1967 5.233180+5 1.504410-2 5.603490+5 1.255280-2 6.000000+5 1.047400-2750023545 1968 6.447420+5 8.765840-3 6.804750+5 7.670160-3 7.378210+5 6.277990-3750023545 1969 8.000000+5 5.138500-3 8.458970+5 4.523850-3 9.197270+5 3.736930-3750023545 1970 1.000000+6 3.086900-3 1.022000+6 2.949960-3 1.130270+6 2.417540-3750023545 1971 1.250000+6 1.981220-3 1.369310+6 1.677520-3 1.500000+6 1.420380-3750023545 1972 1.611850+6 1.252800-3 1.795470+6 1.037770-3 2.000000+6 8.596450-4750023545 1973 2.044000+6 8.292350-4 2.249780+6 7.120450-4 2.417610+6 6.351550-4750023545 1974 2.693110+6 5.351040-4 3.000000+6 4.508130-4 3.464100+6 3.652140-4750023545 1975 4.000000+6 2.958690-4 4.472140+6 2.535290-4 5.000000+6 2.172480-4750023545 1976 5.477230+6 1.924710-4 6.000000+6 1.705200-4 7.000000+6 1.398130-4750023545 1977 8.000000+6 1.181550-4 9.000000+6 1.022080-4 1.000000+7 8.996980-5750023545 1978 1.100000+7 8.032750-5 1.200000+7 7.247280-5 1.300000+7 6.600500-5750023545 1979 1.400000+7 6.059050-5 1.500000+7 5.597710-5 1.600000+7 5.201630-5750023545 1980 1.800000+7 4.554860-5 2.000000+7 4.049750-5 2.200000+7 3.644780-5750023545 1981 2.400000+7 3.313230-5 2.600000+7 3.036570-5 2.800000+7 2.802190-5750023545 1982 3.000000+7 2.601190-5 3.464100+7 2.231500-5 4.000000+7 1.914360-5750023545 1983 4.472140+7 1.702360-5 5.000000+7 1.513840-5 6.000000+7 1.251270-5750023545 1984 6.928200+7 1.078370-5 8.000000+7 9.293660-6 8.944271+7 8.288420-6750023545 1985 1.000000+8 7.391910-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0750023545 1986 750023 0 1987 7.500000+4 1.846010+2 0 0 0 0750023546 1988 2.782600+2 0.000000+0 0 0 1 182750023546 1989 182 2 0 0 0 0750023546 1990 2.782600+2 0.000000+0 2.782600+2 1.750210+5 3.000000+2 1.417020+5750023546 1991 3.075290+2 1.341180+5 3.197200+2 1.294170+5 3.304880+2 1.280130+5750023546 1992 3.453830+2 1.298940+5 3.750770+2 1.421030+5 3.899240+2 1.529020+5750023546 1993 4.000000+2 1.634470+5 4.417100+2 1.971040+5 5.000000+2 2.296810+5750023546 1994 5.560430+2 2.454440+5 6.492300+2 2.459200+5 7.000000+2 2.385950+5750023546 1995 8.000000+2 2.185690+5 9.000000+2 1.957450+5 1.011470+3 1.716750+5750023546 1996 1.136750+3 1.505640+5 1.254240+3 1.308340+5 1.371690+3 1.125070+5750023546 1997 1.500000+3 9.329600+4 1.611850+3 8.114590+4 1.795470+3 6.582200+4750023546 1998 2.000000+3 5.339200+4 2.155230+3 4.522200+4 2.279500+3 3.992590+4750023546 1999 2.479480+3 3.312160+4 2.697000+3 2.747700+4 2.844470+3 2.418360+4750023546 2000 3.000000+3 2.128500+4 3.223710+3 1.772030+4 3.402370+3 1.544430+4750023546 2001 3.689100+3 1.256660+4 4.000000+3 1.022500+4 4.229490+3 8.781111+3750023546 2002 4.598630+3 6.988410+3 5.000000+3 5.561700+3 5.233180+3 4.881730+3750023546 2003 5.603491+3 4.014420+3 6.000000+3 3.301200+3 6.447420+3 2.659910+3750023546 2004 6.804750+3 2.262110+3 7.378210+3 1.774120+3 8.000000+3 1.391400+3750023546 2005 8.585121+3 1.112630+3 9.051880+3 9.408560+2 9.418520+3 8.296660+2750023546 2006 9.996531+3 6.870260+2 1.061000+4 5.689100+2 1.107930+4 4.925310+2750023546 2007 1.150690+4 4.341590+2 1.229540+4 3.481590+2 1.292200+4 2.950350+2750023546 2008 1.341280+4 2.605820+2 1.418420+4 2.162980+2 1.500000+4 1.795400+2750023546 2009 1.554920+4 1.583990+2 1.655920+4 1.272150+2 1.735950+4 1.079270+2750023546 2010 1.863300+4 8.433620+1 2.000000+4 6.590200+1 2.103980+4 5.484830+1750023546 2011 2.199390+4 4.670830+1 2.286410+4 4.058330+1 2.447070+4 3.173320+1750023546 2012 2.574930+4 2.638690+1 2.675180+4 2.297710+1 2.832940+4 1.867040+1750023546 2013 3.000000+4 1.517100+1 3.197810+4 1.193100+1 3.381560+4 9.668990+0750023546 2014 3.550980+4 8.044480+0 3.706180+4 6.848570+0 3.847530+4 5.948930+0750023546 2015 4.107990+4 4.649520+0 4.314830+4 3.864860+0 4.476780+4 3.364570+0750023546 2016 4.731160+4 2.732890+0 5.000000+4 2.219800+0 5.221370+4 1.878720+0750023546 2017 5.437800+4 1.606710+0 5.648840+4 1.387580+0 5.854120+4 1.209370+0750023546 2018 6.053340+4 1.063140+0 6.445340+4 8.349300-1 6.809110+4 6.758140-1750023546 2019 7.144200+4 5.616720-1 7.450910+4 4.777280-1 7.730070+4 4.146360-1750023546 2020 8.243990+4 3.236070-1 8.651729+4 2.687080-1 8.970720+4 2.337370-1750023546 2021 9.471390+4 1.896260-1 1.000000+5 1.538400-1 1.051990+5 1.267460-1750023546 2022 1.099690+5 1.069830-1 1.143200+5 9.223600-2 1.182690+5 8.100960-2750023546 2023 1.255090+5 6.455050-2 1.312290+5 5.444050-2 1.356890+5 4.791140-2750023546 2024 1.426650+5 3.955620-2 1.500000+5 3.265800-2 1.554920+5 2.854910-2750023546 2025 1.655920+5 2.256290-2 1.735950+5 1.891250-2 1.798500+5 1.656770-2750023546 2026 1.896570+5 1.358420-2 2.000000+5 1.113800-2 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1.523140-3750027506 3002 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0750027506 3003 750027 0 3004 7500 0 0 3005 0 0 0 3006 7.600000+4 1.885660+2 -1 0 2 27600 1451 1 0.000000+0 0.000000+0 0 0 0 67600 1451 2 0.000000+0 0.000000+0 0 0 3 27600 1451 3 0.000000+0 0.000000+0 0 0 146 347600 1451 4 76-OS LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7600 1451 6 ----JEF-2 MATERIAL 7600 REVISION 0 7600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7600 1451 8 ------ENDF-6 FORMAT 7600 1451 9 ******************************************************************7600 1451 10 * JEF-2 *7600 1451 11 * DATA TAKEN FROM EPDL *7600 1451 12 ******************************************************************7600 1451 13 =================================================================7600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7600 1451 15 ENDF/B-VI FORMAT 7600 1451 16 =================================================================7600 1451 17 CONTENTS 7600 1451 18 =================================================================7600 1451 19 MF/MT DESCRIPTION 7600 1451 20 =================================================================7600 1451 21 23/501 TOTAL CROSS SECTION 7600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 50 =================================================================7600 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7600 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7600 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7600 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7600 1451 55 =================================================================7600 1451 56 WARNING 7600 1451 57 =================================================================7600 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7600 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7600 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7600 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7600 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7600 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7600 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7600 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7600 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7600 1451 67 =================================================================7600 1451 68 DEFINITION OF NEW TYPES OF DATA 7600 1451 69 =================================================================7600 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7600 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7600 1451 72 7600 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7600 1451 74 C2 FIELDS ARE, 7600 1451 75 7600 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7600 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7600 1451 78 7600 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7600 1451 80 7600 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7600 1451 82 7600 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7600 1451 84 T = THE THOMSON CROSS SECTION 7600 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7600 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7600 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7600 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7600 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7600 1451 90 7600 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7600 1451 92 7600 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7600 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7600 1451 95 =================================================================7600 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7600 1451 97 =================================================================7600 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7600 1451 99 HERE - 10 EV TO 100 MEV 7600 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7600 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7600 1451 102 HERE - PHOTON INTERACTION 7600 1451 103 - AVERAGE FLUORESCENCE YIELD 7600 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7600 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7600 1451 106 HERE - NO SECONDARY ENERGY DATA 7600 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7600 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7600 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7600 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7600 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7600 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7600 1451 113 (SINCE THEY CAN BE NEGATIVE). 7600 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7600 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7600 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7600 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7600 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7600 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7600 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7600 1451 121 =================================================================7600 1451 122 REFERENCES 7600 1451 123 =================================================================7600 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7600 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7600 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7600 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7600 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7600 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7600 1451 130 7600 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7600 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7600 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7600 1451 134 OF THE DATA, ETC. 7600 1451 135 =================================================================7600 1451 136 HISTORY 7600 1451 137 =================================================================7600 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7600 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7600 1451 140 CROSS SECTIONS. 7600 1451 141 =================================================================7600 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7600 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7600 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7600 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7600 1451 146 *RECONSTRUCTED MT NUMBERS 7600 1451 147 516 =+(515,515)+(517,517) 7600 1451 148 522 =+(534,572) 7600 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7600 1451 150 1 451 184 17600 1451 151 23 501 554 17600 1451 152 23 502 130 17600 1451 153 23 504 30 17600 1451 154 23 515 30 17600 1451 155 23 516 60 17600 1451 156 23 517 42 17600 1451 157 23 522 385 27600 1451 158 23 534 31 27600 1451 159 23 535 38 27600 1451 160 23 536 42 27600 1451 161 23 537 45 27600 1451 162 23 538 43 27600 1451 163 23 539 46 27600 1451 164 23 540 48 27600 1451 165 23 541 59 27600 1451 166 23 542 63 27600 1451 167 23 543 48 27600 1451 168 23 544 50 27600 1451 169 23 545 53 27600 1451 170 23 546 64 27600 1451 171 23 547 64 27600 1451 172 23 548 80 27600 1451 173 23 549 80 27600 1451 174 23 550 54 27600 1451 175 23 551 61 27600 1451 176 23 552 62 27600 1451 177 23 553 77 27600 1451 178 23 554 77 27600 1451 179 23 559 64 27600 1451 180 27 502 48 17600 1451 181 27 504 45 17600 1451 182 27 505 112 17600 1451 183 27 506 112 17600 1451 184 7600 1 0 185 7600 0 0 186 7.600000+4 1.885660+2 0 0 0 0760023501 187 0.000000+0 0.000000+0 0 0 1 1652760023501 188 1652 2 0 0 0 0760023501 189 1.000000+1 9.362150+6 1.031610+1 9.296110+6 1.041870+1 9.274680+6760023501 190 1.064220+1 9.281590+6 1.074560+1 9.284780+6 1.079000+1 9.286160+6760023501 191 1.079000+1 1.236710+7 1.079950+1 1.237290+7 1.091680+1 1.246550+7760023501 192 1.114400+1 1.264480+7 1.154780+1 1.303580+7 1.166590+1 1.315020+7760023501 193 1.177360+1 1.325450+7 1.224740+1 1.378820+7 1.226900+1 1.381590+7760023501 194 1.236560+1 1.394850+7 1.237970+1 1.396930+7 1.265430+1 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2.541850+3 6.561100+3 2.250410+3760023543 1859 7.244920+3 1.874690+3 8.000000+3 1.561700+3 8.504621+3 1.386100+3760023543 1860 9.465510+3 1.124970+3 1.025680+4 9.619450+2 1.089330+4 8.553760+2760023543 1861 1.192300+4 7.172450+2 1.305000+4 6.014200+2 1.452000+4 4.828350+2760023543 1862 1.573010+4 4.095100+2 1.670340+4 3.619210+2 1.827760+4 3.007030+2760023543 1863 2.000000+4 2.498400+2 2.213360+4 2.007860+2 2.388200+4 1.704270+2760023543 1864 2.528320+4 1.507100+2 2.754080+4 1.253270+2 3.000000+4 1.042200+2760023543 1865 3.197810+4 9.015660+1 3.381560+4 7.941690+1 3.728900+4 6.360850+1760023543 1866 4.012620+4 5.385390+1 4.239490+4 4.753280+1 4.604070+4 3.941460+1760023543 1867 5.000000+4 3.268300+1 5.302550+4 2.839860+1 5.582270+4 2.511310+1760023543 1868 6.107740+4 2.025150+1 6.534060+4 1.723350+1 6.873210+4 1.526900+1760023543 1869 7.415230+4 1.273410+1 8.000000+4 1.062000+1 8.653970+4 8.723020+0760023543 1870 9.269890+4 7.343300+0 9.844679+4 6.316300+0 1.037680+5 5.536210+0760023543 1871 1.137810+5 4.395670+0 1.219200+5 3.697300+0 1.284040+5 3.247350+0760023543 1872 1.387830+5 2.672980+0 1.500000+5 2.200200+0 1.635760+5 1.764140+0760023543 1873 1.764600+5 1.454110+0 1.885620+5 1.227870+0 1.998310+5 1.058980+0760023543 1874 2.102420+5 9.303720-1 2.297840+5 7.417400-1 2.456240+5 6.258180-1760023543 1875 2.582160+5 5.509290-1 2.783250+5 4.550580-1 3.000000+5 3.758700-1760023543 1876 3.223710+5 3.144600-1 3.402370+5 2.750810-1 3.689100+5 2.250630-1760023543 1877 4.000000+5 1.841400-1 4.207960+5 1.633840-1 4.598240+5 1.325310-1760023543 1878 4.914520+5 1.132790-1 5.430210+5 8.951470-2 6.000000+5 7.073600-2760023543 1879 6.447420+5 6.037780-2 6.804750+5 5.361720-2 7.378210+5 4.486890-2760023543 1880 8.000000+5 3.754800-2 8.944270+5 2.979260-2 1.000000+6 2.363900-2760023543 1881 1.022000+6 2.263700-2 1.130270+6 1.859700-2 1.250000+6 1.527800-2760023543 1882 1.369310+6 1.289150-2 1.500000+6 1.087780-2 1.611850+6 9.593630-3760023543 1883 1.795470+6 7.945950-3 2.000000+6 6.581250-3 2.044000+6 6.345830-3760023543 1884 2.249780+6 5.449090-3 2.417610+6 4.860710-3 2.693110+6 4.095100-3760023543 1885 3.000000+6 3.450080-3 3.464100+6 2.794390-3 4.000000+6 2.263310-3760023543 1886 4.472140+6 1.939120-3 5.000000+6 1.661370-3 5.477230+6 1.471550-3760023543 1887 6.000000+6 1.303410-3 7.000000+6 1.068520-3 8.000000+6 9.031830-4760023543 1888 9.000000+6 7.811890-4 1.000000+7 6.875540-4 1.100000+7 6.137150-4760023543 1889 1.200000+7 5.537880-4 1.300000+7 5.043490-4 1.400000+7 4.628820-4760023543 1890 1.500000+7 4.276740-4 1.600000+7 3.973360-4 1.800000+7 3.478970-4760023543 1891 2.000000+7 3.093190-4 2.200000+7 2.783920-4 2.400000+7 2.530300-4760023543 1892 2.600000+7 2.318960-4 2.800000+7 2.139710-4 3.000000+7 1.986680-4760023543 1893 3.464100+7 1.704140-4 4.000000+7 1.461790-4 4.472140+7 1.299780-4760023543 1894 5.000000+7 1.155730-4 6.000000+7 9.556190-5 6.928200+7 8.234090-5760023543 1895 8.000000+7 7.094910-5 8.944271+7 6.328510-5 1.000000+8 5.644900-5760023543 1896 760023 0 1897 7.600000+4 1.885660+2 0 0 0 0760023544 1898 5.460700+2 0.000000+0 0 0 1 140760023544 1899 140 2 0 0 0 0760023544 1900 5.460700+2 0.000000+0 5.460700+2 4.697480+4 6.000000+2 4.871530+4760023544 1901 7.595620+2 4.703130+4 9.000000+2 4.393570+4 1.000000+3 4.131600+4760023544 1902 1.224740+3 3.519020+4 1.355400+3 3.180250+4 1.500000+3 2.874100+4760023544 1903 1.718570+3 2.436250+4 1.969000+3 2.065100+4 2.152090+3 1.815290+4760023544 1904 2.459140+3 1.496080+4 2.810000+3 1.233000+4 3.069340+3 1.063820+4760023544 1905 3.503910+3 8.525571+3 4.000000+3 6.832500+3 4.472140+3 5.568780+3760023544 1906 5.000000+3 4.538800+3 5.477230+3 3.803960+3 6.000000+3 3.188100+3760023544 1907 6.447420+3 2.750870+3 7.181880+3 2.204840+3 8.000000+3 1.767200+3760023544 1908 8.653090+3 1.488100+3 9.177661+3 1.308110+3 1.002470+4 1.078100+3760023544 1909 1.095000+4 8.885400+2 1.184630+4 7.398400+2 1.256640+4 6.448860+2760023544 1910 1.372940+4 5.248090+2 1.500000+4 4.270900+2 1.611850+4 3.578640+2760023544 1911 1.701190+4 3.134130+2 1.844550+4 2.568710+2 2.000000+4 2.105300+2760023544 1912 2.103980+4 1.845820+2 2.299120+4 1.466300+2 2.457260+4 1.233810+2760023544 1913 2.582970+4 1.083970+2 2.783680+4 8.926270+1 3.000000+4 7.350600+1760023544 1914 3.197810+4 6.166790+1 3.381560+4 5.288450+1 3.550980+4 4.623160+1760023544 1915 3.868160+4 3.653900+1 4.124490+4 3.062820+1 4.327830+4 2.683140+1760023544 1916 4.651790+4 2.200030+1 5.000000+4 1.803900+1 5.221370+4 1.591330+1760023544 1917 5.663190+4 1.257960+1 6.080350+4 1.024080+1 6.470500+4 8.553930+0760023544 1918 6.832350+4 7.307520+0 7.165540+4 6.366830+0 7.788190+4 5.002560+0760023544 1919 8.290440+4 4.174880+0 8.688270+4 3.645290+0 9.321090+4 2.974170+0760023544 1920 1.000000+5 2.426600+0 1.044270+5 2.136110+0 1.132640+5 1.681890+0760023544 1921 1.216070+5 1.364430+0 1.294100+5 1.136210+0 1.366470+5 9.680590-1760023544 1922 1.433110+5 8.414740-1 1.494080+5 7.443680-1 1.607080+5 6.006120-1760023544 1923 1.697400+5 5.113270-1 1.842500+5 4.016580-1 2.000000+5 3.155100-1760023544 1924 2.103980+5 2.728810-1 2.199390+5 2.403330-1 2.376880+5 1.924340-1760023544 1925 2.519330+5 1.628860-1 2.631750+5 1.437430-1 2.809850+5 1.191620-1760023544 1926 3.000000+5 9.878500-2 3.223710+5 8.103100-2 3.402370+5 6.984270-2760023544 1927 3.689100+5 5.588890-2 4.000000+5 4.472300-2 4.229490+5 3.859910-2760023544 1928 4.598630+5 3.094890-2 5.000000+5 2.481500-2 5.477230+5 1.970230-2760023544 1929 6.000000+5 1.564300-2 6.447420+5 1.317550-2 6.804750+5 1.158380-2760023544 1930 7.378210+5 9.549480-3 8.000000+5 7.872400-3 8.458970+5 6.954650-3760023544 1931 9.197270+5 5.774670-3 1.000000+6 4.794900-3 1.022000+6 4.584620-3760023544 1932 1.130270+6 3.758770-3 1.250000+6 3.081690-3 1.369310+6 2.607600-3760023544 1933 1.500000+6 2.206440-3 1.611850+6 1.945960-3 1.795470+6 1.611740-3760023544 1934 2.000000+6 1.334930-3 2.044000+6 1.287180-3 2.249780+6 1.105280-3760023544 1935 2.417610+6 9.859400-4 2.693110+6 8.306430-4 3.000000+6 6.998080-4760023544 1936 3.464100+6 5.668090-4 4.000000+6 4.590860-4 4.472140+6 3.933280-4760023544 1937 5.000000+6 3.369890-4 5.477230+6 2.984860-4 6.000000+6 2.643820-4760023544 1938 7.000000+6 2.167360-4 8.000000+6 1.832000-4 9.000000+6 1.584550-4760023544 1939 1.000000+7 1.394620-4 1.100000+7 1.244850-4 1.200000+7 1.123300-4760023544 1940 1.300000+7 1.023010-4 1.400000+7 9.389020-5 1.500000+7 8.674890-5760023544 1941 1.600000+7 8.059520-5 1.800000+7 7.056690-5 2.000000+7 6.274180-5760023544 1942 2.200000+7 5.646870-5 2.400000+7 5.132430-5 2.600000+7 4.703740-5760023544 1943 2.800000+7 4.340160-5 3.000000+7 4.029760-5 3.464100+7 3.456660-5760023544 1944 4.000000+7 2.965070-5 4.472140+7 2.636460-5 5.000000+7 2.344270-5760023544 1945 6.000000+7 1.938360-5 6.928200+7 1.670190-5 8.000000+7 1.439120-5760023544 1946 8.944271+7 1.283660-5 1.000000+8 1.145000-5 0.000000+0 0.000000+0760023544 1947 760023 0 1948 7.600000+4 1.885660+2 0 0 0 0760023545 1949 4.662300+2 0.000000+0 0 0 1 149760023545 1950 149 2 0 0 0 0760023545 1951 4.662300+2 0.000000+0 4.662300+2 2.192680+5 5.000000+2 2.303390+5760023545 1952 5.916080+2 2.036580+5 7.000000+2 1.800670+5 7.937250+2 1.594450+5760023545 1953 9.000000+2 1.411850+5 1.000000+3 1.252400+5 1.106680+3 1.095480+5760023545 1954 1.288420+3 8.961729+4 1.500000+3 7.331300+4 1.725110+3 5.908420+4760023545 1955 1.984000+3 4.761700+4 2.164380+3 4.101730+4 2.466150+3 3.279250+4760023545 1956 2.810000+3 2.621700+4 3.069340+3 2.217680+4 3.279430+3 1.956080+4760023545 1957 3.621840+3 1.620390+4 4.000000+3 1.342300+4 4.426730+3 1.087150+4760023545 1958 4.776390+3 9.281481+3 5.056650+3 8.243550+3 5.508170+3 6.900160+3760023545 1959 6.000000+3 5.775700+3 6.447420+3 4.916680+3 6.804750+3 4.357340+3760023545 1960 7.378210+3 3.635360+3 8.000000+3 3.033000+3 8.653090+3 2.517470+3760023545 1961 9.177661+3 2.189190+3 1.002470+4 1.775260+3 1.095000+4 1.439600+3760023545 1962 1.184630+4 1.181600+3 1.256640+4 1.018930+3 1.372940+4 8.159270+2760023545 1963 1.500000+4 6.533700+2 1.611850+4 5.402530+2 1.701190+4 4.684640+2760023545 1964 1.844550+4 3.782630+2 2.000000+4 3.054300+2 2.103980+4 2.652210+2760023545 1965 2.199390+4 2.344050+2 2.376880+4 1.888400+2 2.519330+4 1.605800+2760023545 1966 2.631750+4 1.421960+2 2.809850+4 1.184910+2 3.000000+4 9.873700+1760023545 1967 3.223710+4 8.006760+1 3.402370+4 6.842100+1 3.689100+4 5.404910+1760023545 1968 4.000000+4 4.269600+1 4.207960+4 3.662670+1 4.398770+4 3.202820+1760023545 1969 4.753750+4 2.532610+1 5.038660+4 2.123710+1 5.263490+4 1.860970+1760023545 1970 5.619690+4 1.526530+1 6.000000+4 1.252200+1 6.395620+4 1.025150+1760023545 1971 6.763120+4 8.605240+0 7.101970+4 7.383140+0 7.412360+4 6.457060+0760023545 1972 7.988540+4 5.107080+0 8.449879+4 4.283280+0 8.813290+4 3.753870+0760023545 1973 9.387910+4 3.079880+0 1.000000+5 2.526900+0 1.044270+5 2.202140+0760023545 1974 1.087560+5 1.935690+0 1.173610+5 1.519910+0 1.254480+5 1.230060+0760023545 1975 1.329790+5 1.022170+0 1.399390+5 8.692980-1 1.463280+5 7.544130-1760023545 1976 1.521560+5 6.664150-1 1.629200+5 5.363910-1 1.714900+5 4.558100-1760023545 1977 1.851970+5 3.570580-1 2.000000+5 2.797000-1 2.103980+5 2.393110-1760023545 1978 2.199390+5 2.087850-1 2.376880+5 1.644320-1 2.519330+5 1.374680-1760023545 1979 2.631750+5 1.201890-1 2.809850+5 9.825570-2 3.000000+5 8.032500-2760023545 1980 3.223710+5 6.505650-2 3.402370+5 5.554190-2 3.689100+5 4.381430-2760023545 1981 4.000000+5 3.456300-2 4.229490+5 2.959270-2 4.598630+5 2.344470-2760023545 1982 5.000000+5 1.857400-2 5.233180+5 1.646210-2 5.603490+5 1.373580-2760023545 1983 6.000000+5 1.146100-2 6.447420+5 9.592210-3 6.804750+5 8.393450-3760023545 1984 7.378210+5 6.870270-3 8.000000+5 5.623500-3 8.458970+5 4.950480-3760023545 1985 9.197270+5 4.088920-3 1.000000+6 3.377300-3 1.022000+6 3.227340-3760023545 1986 1.130270+6 2.644140-3 1.250000+6 2.166320-3 1.369310+6 1.834860-3760023545 1987 1.500000+6 1.554110-3 1.611850+6 1.370640-3 1.795470+6 1.135240-3760023545 1988 2.000000+6 9.402630-4 2.044000+6 9.066270-4 2.249780+6 7.785090-4760023545 1989 2.417610+6 6.944490-4 2.693110+6 5.850660-4 3.000000+6 4.929120-4760023545 1990 3.464100+6 3.992340-4 4.000000+6 3.233590-4 4.472140+6 2.770420-4760023545 1991 5.000000+6 2.373590-4 5.477230+6 2.102390-4 6.000000+6 1.862180-4760023545 1992 7.000000+6 1.526590-4 8.000000+6 1.290380-4 9.000000+6 1.116080-4760023545 1993 1.000000+7 9.823070-5 1.100000+7 8.768140-5 1.200000+7 7.911970-5760023545 1994 1.300000+7 7.205620-5 1.400000+7 6.613180-5 1.500000+7 6.110180-5760023545 1995 1.600000+7 5.676740-5 1.800000+7 4.970400-5 2.000000+7 4.419230-5760023545 1996 2.200000+7 3.977390-5 2.400000+7 3.615040-5 2.600000+7 3.313090-5760023545 1997 2.800000+7 3.057000-5 3.000000+7 2.838370-5 3.464100+7 2.434710-5760023545 1998 4.000000+7 2.088450-5 4.472140+7 1.856990-5 5.000000+7 1.651190-5760023545 1999 6.000000+7 1.365290-5 6.928200+7 1.176400-5 8.000000+7 1.013650-5760023545 2000 8.944271+7 9.041530-6 1.000000+8 8.064850-6 0.000000+0 0.000000+0760023545 2001 760023 0 2002 7.600000+4 1.885660+2 0 0 0 0760023546 2003 2.970800+2 0.000000+0 0 0 1 183760023546 2004 183 2 0 0 0 0760023546 2005 2.970800+2 0.000000+0 2.970800+2 1.784840+5 3.030200+2 1.542990+5760023546 2006 3.113290+2 1.318170+5 3.225820+2 1.157150+5 3.325500+2 1.098220+5760023546 2007 3.376490+2 1.088930+5 3.522600+2 1.118710+5 3.636330+2 1.184960+5760023546 2008 4.000000+2 1.523000+5 4.314160+2 1.797410+5 4.755500+2 2.091580+5760023546 2009 5.000000+2 2.219130+5 5.569900+2 2.396660+5 6.000000+2 2.448630+5760023546 2010 6.609900+2 2.437440+5 7.000000+2 2.393460+5 8.000000+2 2.212730+5760023546 2011 9.000000+2 1.995610+5 1.000000+3 1.776100+5 1.106680+3 1.546530+5760023546 2012 1.224740+3 1.346640+5 1.355400+3 1.143090+5 1.500000+3 9.703100+4760023546 2013 1.661110+3 8.047770+4 1.839530+3 6.674830+4 1.979980+3 5.703730+4760023546 2014 2.092310+3 5.069300+4 2.272860+3 4.247490+4 2.469000+3 3.558900+4760023546 2015 2.603590+3 3.143120+4 2.819350+3 2.608730+4 3.053000+3 2.165200+4760023546 2016 3.266330+3 1.824900+4 3.436050+3 1.605260+4 3.707320+3 1.324350+4760023546 2017 4.000000+3 1.092600+4 4.229490+3 9.394470+3 4.598630+3 7.490120+3760023546 2018 5.000000+3 5.971800+3 5.233180+3 5.246590+3 5.603491+3 4.320520+3760023546 2019 6.000000+3 3.557900+3 6.447420+3 2.870750+3 6.804750+3 2.443980+3760023546 2020 7.378210+3 1.919770+3 8.000000+3 1.508000+3 8.320140+3 1.332270+3760023546 2021 8.911510+3 1.072570+3 9.382470+3 9.115990+2 1.013600+4 7.142790+2760023546 2022 1.095000+4 5.596700+2 1.138930+4 4.911460+2 1.220100+4 3.907930+2760023546 2023 1.284760+4 3.292300+2 1.335480+4 2.895100+2 1.415350+4 2.387320+2760023546 2024 1.500000+4 1.968600+2 1.554920+4 1.737880+2 1.655920+4 1.397260+2760023546 2025 1.735950+4 1.186370+2 1.863300+4 9.281860+1 2.000000+4 7.261900+1760023546 2026 2.103980+4 6.048760+1 2.199390+4 5.154730+1 2.286410+4 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6.583570-2 2.299120+4 7.704610-2760027506 2978 2.319920+4 8.395950-2 2.365370+4 1.090990-1 2.476510+4 1.750240-1760027506 2979 2.498000+4 1.817780-1 2.534270+4 1.867130-1 2.631750+4 1.864790-1760027506 2980 2.664130+4 1.884620-1 2.748330+4 1.827400-1 2.844880+4 1.581620-1760027506 2981 2.952640+4 1.320060-1 3.008400+4 1.200070-1 3.040720+4 1.120880-1760027506 2982 3.116770+4 8.141600-2 3.169320+4 6.222890-2 3.228420+4 3.358940-2760027506 2983 3.251620+4 2.159410-2 3.266630+4 1.407690-2 3.288400+4 2.958630-3760027506 2984 3.310060+4-7.994100-3 3.333020+4-2.169510-2 3.359840+4-3.681620-2760027506 2985 3.395090+4-6.168480-2 3.476970+4-1.060810-1 3.581060+4-1.583030-1760027506 2986 3.648770+4-1.952010-1 3.710310+4-2.352360-1 3.991060+4-3.925500-1760027506 2987 4.087620+4-4.481370-1 4.341950+4-6.016150-1 4.526800+4-7.285790-1760027506 2988 4.865140+4-9.271710-1 5.328480+4-1.252020+0 5.444560+4-1.332880+0760027506 2989 5.868070+4-1.676600+0 6.398600+4-2.234790+0 6.754470+4-2.813590+0760027506 2990 6.932400+4-3.246970+0 7.123100+4-3.977540+0 7.193620+4-4.416270+0760027506 2991 7.243540+4-4.870150+0 7.265080+4-5.131440+0 7.283820+4-5.400110+0760027506 2992 7.298460+4-5.636440+0 7.314330+4-5.913760+0 7.322800+4-6.067530+0760027506 2993 7.332950+4-6.251420+0 7.345910+4-6.476090+0 7.360140+4-6.697120+0760027506 2994 7.376110+4-6.890580+0 7.407560+4-7.015790+0 7.439020+4-6.796990+0760027506 2995 7.468150+4-6.336020+0 7.496079+4-5.794380+0 7.531410+4-5.155540+0760027506 2996 7.565090+4-4.639680+0 7.628240+4-3.976230+0 7.738760+4-3.247720+0760027506 2997 7.911850+4-2.513660+0 8.070310+4-2.050840+0 8.371479+4-1.433380+0760027506 2998 8.521050+4-1.197530+0 8.671300+4-1.014170+0 9.032360+4-6.532970-1760027506 2999 9.217660+4-4.981210-1 9.393410+4-3.881290-1 9.774879+4-1.815690-1760027506 3000 9.813690+4-1.600960-1 1.012890+5-1.613580-2 1.041640+5 6.557080-2760027506 3001 1.084940+5 1.929980-1 1.095200+5 2.166380-1 1.129770+5 2.703390-1760027506 3002 1.160860+5 3.302120-1 1.182690+5 3.628930-1 1.196580+5 3.716910-1760027506 3003 1.214260+5 3.875680-1 1.271620+5 4.568370-1 1.295490+5 4.750020-1760027506 3004 1.317630+5 4.753480-1 1.392220+5 5.144250-1 1.408670+5 5.154690-1760027506 3005 1.435620+5 5.136630-1 1.502690+5 5.254050-1 1.532060+5 5.172170-1760027506 3006 1.635480+5 5.258420-1 1.730830+5 5.077650-1 1.861750+5 4.847650-1760027506 3007 1.958360+5 4.673610-1 2.112330+5 4.378670-1 2.326710+5 3.944510-1760027506 3008 2.467300+5 3.643470-1 2.719340+5 3.201160-1 2.935690+5 2.863180-1760027506 3009 3.245780+5 2.470530-1 3.365770+5 2.311000-1 3.693770+5 1.972890-1760027506 3010 4.024600+5 1.668840-1 4.154440+5 1.549730-1 4.521500+5 1.297060-1760027506 3011 5.085760+5 1.003370-1 5.524000+5 8.102080-2 5.885020+5 6.680290-2760027506 3012 6.487980+5 4.988810-2 6.804750+5 4.239350-2 7.181880+5 3.410360-2760027506 3013 7.290070+5 3.119600-2 7.860280+5 2.254370-2 8.226280+5 1.748080-2760027506 3014 8.696620+5 1.136560-2 8.973840+5 8.729590-3 9.788620+5 1.577830-3760027506 3015 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0760027506 3016 760027 0 3017 7600 0 0 3018 0 0 0 3019 7.700000+4 1.905690+2 -1 0 2 27700 1451 1 0.000000+0 0.000000+0 0 0 0 67700 1451 2 0.000000+0 0.000000+0 0 0 3 27700 1451 3 0.000000+0 0.000000+0 0 0 145 337700 1451 4 77-IR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7700 1451 6 ----JEF-2 MATERIAL 7700 REVISION 0 7700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7700 1451 8 ------ENDF-6 FORMAT 7700 1451 9 ******************************************************************7700 1451 10 * JEF-2 *7700 1451 11 * DATA TAKEN FROM EPDL *7700 1451 12 ******************************************************************7700 1451 13 =================================================================7700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7700 1451 15 ENDF/B-VI FORMAT 7700 1451 16 =================================================================7700 1451 17 CONTENTS 7700 1451 18 =================================================================7700 1451 19 MF/MT DESCRIPTION 7700 1451 20 =================================================================7700 1451 21 23/501 TOTAL CROSS SECTION 7700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 49 =================================================================7700 1451 50 27/502 COHERENT SCATTERING FORM FACTORS 7700 1451 51 27/504 INCOHERENT SCATTERING FUNCTIONS 7700 1451 52 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7700 1451 53 27/506 COHERENT REAL SCATTERING FACTOR 7700 1451 54 =================================================================7700 1451 55 WARNING 7700 1451 56 =================================================================7700 1451 57 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7700 1451 58 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7700 1451 59 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7700 1451 60 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7700 1451 61 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7700 1451 62 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7700 1451 63 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7700 1451 64 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7700 1451 65 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7700 1451 66 =================================================================7700 1451 67 DEFINITION OF NEW TYPES OF DATA 7700 1451 68 =================================================================7700 1451 69 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7700 1451 70 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7700 1451 71 7700 1451 72 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7700 1451 73 C2 FIELDS ARE, 7700 1451 74 7700 1451 75 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7700 1451 76 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7700 1451 77 7700 1451 78 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7700 1451 79 7700 1451 80 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7700 1451 81 7700 1451 82 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7700 1451 83 T = THE THOMSON CROSS SECTION 7700 1451 84 MU = THE COSINE OF THE SCATTERING ANGLE 7700 1451 85 FF(M) = THE ATOMIC FORM FACTOR 7700 1451 86 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7700 1451 87 F1(E) = THE REAL SCATTERING FACTOR 7700 1451 88 F2(E) = THE IMAGINARY SCATTERING FACTOR 7700 1451 89 7700 1451 90 F1(E) AND F2(E) ARE ISOTROPIC. 7700 1451 91 7700 1451 92 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7700 1451 93 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7700 1451 94 =================================================================7700 1451 95 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7700 1451 96 =================================================================7700 1451 97 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7700 1451 98 HERE - 10 EV TO 100 MEV 7700 1451 99 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7700 1451 100 - FLUORESCENCE AND ELECTRON SPECTRA 7700 1451 101 HERE - PHOTON INTERACTION 7700 1451 102 - AVERAGE FLUORESCENCE YIELD 7700 1451 103 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7700 1451 104 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7700 1451 105 HERE - NO SECONDARY ENERGY DATA 7700 1451 106 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7700 1451 107 INTERPOLABLE - SUMMATION CROSS SECTIONS 7700 1451 108 (E.G., TOTAL) ARE NOT INCLUDED 7700 1451 109 - FORM FACTORS ARE LOG X VS. LOG Y 7700 1451 110 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7700 1451 111 - SCATTERING FACTORS LINEARLY INTERPOLABLE7700 1451 112 (SINCE THEY CAN BE NEGATIVE). 7700 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7700 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 7700 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 7700 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 7700 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 7700 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7700 1451 119 - SCATTERING FACTORS LINEARLY INTERPOLABLE7700 1451 120 =================================================================7700 1451 121 REFERENCES 7700 1451 122 =================================================================7700 1451 123 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7700 1451 124 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7700 1451 125 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7700 1451 126 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7700 1451 127 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7700 1451 128 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7700 1451 129 7700 1451 130 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7700 1451 131 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7700 1451 132 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7700 1451 133 OF THE DATA, ETC. 7700 1451 134 =================================================================7700 1451 135 HISTORY 7700 1451 136 =================================================================7700 1451 137 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7700 1451 138 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7700 1451 139 CROSS SECTIONS. 7700 1451 140 =================================================================7700 1451 141 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7700 1451 142 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7700 1451 143 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7700 1451 144 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7700 1451 145 *RECONSTRUCTED MT NUMBERS 7700 1451 146 516 =+(515,515)+(517,517) 7700 1451 147 522 =+(534,572) 7700 1451 148 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7700 1451 149 1 451 182 17700 1451 150 23 501 521 17700 1451 151 23 502 125 17700 1451 152 23 504 30 17700 1451 153 23 515 30 17700 1451 154 23 516 60 17700 1451 155 23 517 42 17700 1451 156 23 522 359 27700 1451 157 23 534 31 27700 1451 158 23 535 37 27700 1451 159 23 536 42 27700 1451 160 23 537 45 27700 1451 161 23 538 43 27700 1451 162 23 539 46 27700 1451 163 23 540 48 27700 1451 164 23 541 59 27700 1451 165 23 542 62 27700 1451 166 23 543 47 27700 1451 167 23 544 50 27700 1451 168 23 545 53 27700 1451 169 23 546 62 27700 1451 170 23 547 63 27700 1451 171 23 548 79 27700 1451 172 23 549 79 27700 1451 173 23 550 53 27700 1451 174 23 551 60 27700 1451 175 23 552 61 27700 1451 176 23 553 75 27700 1451 177 23 554 74 27700 1451 178 27 502 47 17700 1451 179 27 504 44 17700 1451 180 27 505 107 17700 1451 181 27 506 107 17700 1451 182 7700 1 0 183 7700 0 0 184 7.700000+4 1.905690+2 0 0 0 0770023501 185 0.000000+0 0.000000+0 0 0 1 1553770023501 186 1553 2 0 0 0 0770023501 187 1.000000+1 2.323570+7 1.106680+1 2.497360+7 1.154780+1 2.575720+7770023501 188 1.194100+1 2.639780+7 1.321580+1 2.847450+7 1.338340+1 2.874750+7770023501 189 1.499770+1 3.137740+7 1.500000+1 3.138110+7 1.614860+1 3.260190+7770023501 190 1.688590+1 3.338560+7 1.803840+1 3.461050+7 1.887140+1 3.549590+7770023501 191 2.000000+1 3.669540+7 2.014940+1 3.676970+7 2.094430+1 3.716490+7770023501 192 2.221620+1 3.779720+7 2.388200+1 3.862530+7 2.449490+1 3.870450+7770023501 193 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7.312260+1 3.689100+4 5.782010+1770023545 1899 4.000000+4 4.572000+1 4.207960+4 3.924390+1 4.398770+4 3.433440+1770023545 1900 4.753750+4 2.717410+1 5.038660+4 2.280210+1 5.263490+4 1.999120+1770023545 1901 5.619690+4 1.641100+1 6.000000+4 1.347200+1 6.395620+4 1.103660+1770023545 1902 6.763120+4 9.269710+0 7.101970+4 7.957320+0 7.412360+4 6.962340+0770023545 1903 7.988540+4 5.511050+0 8.449879+4 4.624810+0 8.813290+4 4.054970+0770023545 1904 9.387910+4 3.329120+0 1.000000+5 2.733200+0 1.044270+5 2.383110+0770023545 1905 1.087560+5 2.095740+0 1.173610+5 1.647030+0 1.254480+5 1.333960+0770023545 1906 1.329790+5 1.109250+0 1.399390+5 9.439150-1 1.463280+5 8.195900-1770023545 1907 1.521560+5 7.243150-1 1.629200+5 5.834530-1 1.714900+5 4.960960-1770023545 1908 1.851970+5 3.889590-1 2.000000+5 3.049600-1 2.103980+5 2.609400-1770023545 1909 2.199390+5 2.276670-1 2.376880+5 1.793210-1 2.519330+5 1.499270-1770023545 1910 2.631750+5 1.310890-1 2.809850+5 1.071750-1 3.000000+5 8.762400-2770023545 1911 3.223710+5 7.098990-2 3.402370+5 6.062150-2 3.689100+5 4.783790-2770023545 1912 4.000000+5 3.775000-2 4.229490+5 3.232550-2 4.598630+5 2.561470-2770023545 1913 5.000000+5 2.029700-2 5.233180+5 1.798980-2 5.603490+5 1.501130-2770023545 1914 6.000000+5 1.252600-2 6.447420+5 1.048380-2 6.804750+5 9.173820-3770023545 1915 7.378210+5 7.509240-3 8.000000+5 6.146700-3 8.458970+5 5.410400-3770023545 1916 9.197270+5 4.467970-3 1.000000+6 3.689700-3 1.022000+6 3.525660-3770023545 1917 1.130270+6 2.887980-3 1.250000+6 2.365640-3 1.369310+6 2.004030-3770023545 1918 1.500000+6 1.697690-3 1.611850+6 1.497440-3 1.795470+6 1.240460-3770023545 1919 2.000000+6 1.027590-3 2.044000+6 9.905790-4 2.249780+6 8.504290-4770023545 1920 2.417610+6 7.584890-4 2.693110+6 6.388760-4 3.000000+6 5.381260-4770023545 1921 3.464100+6 4.357950-4 4.000000+6 3.529230-4 4.472140+6 3.023270-4770023545 1922 5.000000+6 2.589840-4 5.477230+6 2.293770-4 6.000000+6 2.031550-4770023545 1923 7.000000+6 1.665400-4 8.000000+6 1.407910-4 9.000000+6 1.217360-4770023545 1924 1.000000+7 1.070900-4 1.100000+7 9.559330-5 1.200000+7 8.622290-5770023545 1925 1.300000+7 7.854550-5 1.400000+7 7.208870-5 1.500000+7 6.660030-5770023545 1926 1.600000+7 6.187580-5 1.800000+7 5.417480-5 2.000000+7 4.815890-5770023545 1927 2.200000+7 4.333980-5 2.400000+7 3.939480-5 2.600000+7 3.610340-5770023545 1928 2.800000+7 3.331590-5 3.000000+7 3.092210-5 3.464100+7 2.652240-5770023545 1929 4.000000+7 2.274870-5 4.472140+7 2.022700-5 5.000000+7 1.798480-5770023545 1930 6.000000+7 1.487440-5 6.928200+7 1.281900-5 8.000000+7 1.104760-5770023545 1931 8.944271+7 9.848630-6 1.000000+8 8.779780-6 0.000000+0 0.000000+0770023545 1932 770023 0 1933 7.700000+4 1.905690+2 0 0 0 0770023546 1934 3.105200+2 0.000000+0 0 0 1 175770023546 1935 175 2 0 0 0 0770023546 1936 3.105200+2 0.000000+0 3.105200+2 1.535040+5 3.500700+2 1.354780+5770023546 1937 3.689520+2 1.341750+5 3.898020+2 1.387360+5 4.000000+2 1.429380+5770023546 1938 4.835800+2 2.049730+5 5.266560+2 2.249980+5 6.000000+2 2.417470+5770023546 1939 6.888300+2 2.406280+5 8.000000+2 2.237200+5 9.000000+2 2.030150+5770023546 1940 1.000000+3 1.817500+5 1.106680+3 1.590760+5 1.224740+3 1.392300+5770023546 1941 1.355400+3 1.184610+5 1.500000+3 1.007900+5 1.670870+3 8.274240+4770023546 1942 1.861210+3 6.792640+4 2.010870+3 5.767870+4 2.130960+3 5.102090+4770023546 1943 2.324670+3 4.244710+4 2.536000+3 3.531400+4 2.681280+3 3.099580+4770023546 1944 2.914960+3 2.548810+4 3.169000+3 2.095900+4 3.358970+3 1.809910+4770023546 1945 3.665500+3 1.452390+4 4.000000+3 1.165500+4 4.229490+3 1.003360+4770023546 1946 4.598630+3 8.014500+3 5.000000+3 6.401700+3 5.233180+3 5.629580+3770023546 1947 5.603491+3 4.642440+3 6.000000+3 3.828400+3 6.447420+3 3.093260+3770023546 1948 6.804750+3 2.636120+3 7.378210+3 2.073910+3 8.000000+3 1.631600+3770023546 1949 8.352000+3 1.424810+3 9.005680+3 1.123980+3 9.529290+3 9.408220+2770023546 1950 9.941890+3 8.233230+2 1.059450+4 6.740060+2 1.129000+4 5.517700+2770023546 1951 1.212110+4 4.361740+2 1.278440+4 3.656680+2 1.330560+4 3.203740+2770023546 1952 1.412740+4 2.627310+2 1.500000+4 2.154600+2 1.611850+4 1.681240+2770023546 1953 1.701190+4 1.395820+2 1.771420+4 1.214020+2 1.882240+4 9.847460+1770023546 1954 2.000000+4 7.987700+1 2.103980+4 6.658660+1 2.199390+4 5.678470+1770023546 1955 2.286410+4 4.939920+1 2.447070+4 3.871030+1 2.574930+4 3.224080+1770023546 1956 2.675180+4 2.810860+1 2.832940+4 2.288190+1 3.000000+4 1.862700+1770023546 1957 3.197810+4 1.467660+1 3.381560+4 1.191370+1 3.550980+4 9.926330+0770023546 1958 3.706180+4 8.461350+0 3.847530+4 7.357980+0 4.107990+4 5.761920+0770023546 1959 4.314830+4 4.796490+0 4.476780+4 4.180140+0 4.731160+4 3.400890+0770023546 1960 5.000000+4 2.766900+0 5.221370+4 2.344280+0 5.437800+4 2.006890+0770023546 1961 5.648840+4 1.734820+0 5.854120+4 1.513360+0 6.053340+4 1.331480+0770023546 1962 6.445340+4 1.047300+0 6.809110+4 8.488720-1 7.144200+4 7.063440-1770023546 1963 7.450910+4 6.014070-1 7.730070+4 5.224590-1 8.243990+4 4.084110-1770023546 1964 8.651729+4 3.395330-1 8.970720+4 2.956110-1 9.471390+4 2.401470-1770023546 1965 1.000000+5 1.950900-1 1.051990+5 1.608950-1 1.099690+5 1.359290-1770023546 1966 1.143200+5 1.172830-1 1.182690+5 1.030790-1 1.255090+5 8.223390-2770023546 1967 1.312290+5 6.941650-2 1.356890+5 6.113240-2 1.426650+5 5.052250-2770023546 1968 1.500000+5 4.175400-2 1.554920+5 3.651270-2 1.655920+5 2.887350-2770023546 1969 1.735950+5 2.421260-2 1.798500+5 2.121770-2 1.896570+5 1.740540-2770023546 1970 2.000000+5 1.427800-2 2.103980+5 1.190540-2 2.199390+5 1.015520-2770023546 1971 2.286410+5 8.836170-3 2.447070+5 6.926610-3 2.574930+5 5.770500-3770023546 1972 2.675180+5 5.031910-3 2.832940+5 4.097430-3 3.000000+5 3.336500-3770023546 1973 3.223710+5 2.611010-3 3.402370+5 2.172440-3 3.542840+5 1.892560-3770023546 1974 3.764490+5 1.538880-3 4.000000+5 1.251300-3 4.229490+5 1.043940-3770023546 1975 4.410200+5 9.113040-4 4.695850+5 7.432640-4 5.000000+5 6.062100-4770023546 1976 5.233180+5 5.263380-4 5.603490+5 4.258210-4 6.000000+5 3.445000-4770023546 1977 6.447420+5 2.803920-4 6.804750+5 2.402690-4 7.378210+5 1.905880-4770023546 1978 8.000000+5 1.511800-4 8.458970+5 1.301400-4 9.197270+5 1.039410-4770023546 1979 1.000000+6 8.301600-5 1.022000+6 7.886790-5 1.130270+6 6.431200-5770023546 1980 1.250000+6 5.244250-5 1.369310+6 4.475650-5 1.500000+6 3.819690-5770023546 1981 1.611850+6 3.369140-5 1.795470+6 2.790960-5 2.000000+6 2.312010-5770023546 1982 2.044000+6 2.228740-5 2.249780+6 1.913410-5 2.417610+6 1.706550-5770023546 1983 2.693110+6 1.437430-5 3.000000+6 1.210750-5 3.464100+6 9.805120-6770023546 1984 4.000000+6 7.940560-6 4.472140+6 6.802170-6 5.000000+6 5.826980-6770023546 1985 5.477230+6 5.160850-6 6.000000+6 4.570870-6 7.000000+6 3.747050-6770023546 1986 8.000000+6 3.167720-6 9.000000+6 2.738980-6 1.000000+7 2.409450-6770023546 1987 1.100000+7 2.150790-6 1.200000+7 1.939960-6 1.300000+7 1.767230-6770023546 1988 1.400000+7 1.621950-6 1.500000+7 1.498470-6 1.600000+7 1.392170-6770023546 1989 1.800000+7 1.218900-6 2.000000+7 1.083540-6 2.200000+7 9.751190-7770023546 1990 2.400000+7 8.863590-7 2.600000+7 8.123040-7 2.800000+7 7.495880-7770023546 1991 3.000000+7 6.957290-7 3.464100+7 5.967380-7 4.000000+7 5.118310-7770023546 1992 4.472140+7 4.550940-7 5.000000+7 4.046460-7 6.000000+7 3.346660-7770023546 1993 6.928200+7 2.884190-7 8.000000+7 2.485630-7 8.944271+7 2.215880-7770023546 1994 1.000000+8 1.975400-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0770023546 1995 770023 0 1996 7.700000+4 1.905690+2 0 0 0 0770023547 1997 2.945800+2 0.000000+0 0 0 1 179770023547 1998 179 2 0 0 0 0770023547 1999 2.945800+2 0.000000+0 2.945800+2 2.169260+5 3.004800+2 2.101370+5770023547 2000 3.211950+2 1.782960+5 3.391080+2 1.696450+5 3.573200+2 1.822920+5770023547 2001 3.867660+2 2.328690+5 4.180400+2 2.821140+5 4.493030+2 3.207280+5770023547 2002 5.000000+2 3.638740+5 5.692100+2 3.898260+5 6.000000+2 3.924030+5770023547 2003 7.000000+2 3.771190+5 8.000000+2 3.451130+5 9.000000+2 3.085520+5770023547 2004 1.000000+3 2.730100+5 1.106680+3 2.366780+5 1.224740+3 2.051810+5770023547 2005 1.355400+3 1.732270+5 1.500000+3 1.462500+5 1.670870+3 1.192060+5770023547 2006 1.861210+3 9.716350+4 2.015020+3 8.172979+4 2.138660+3 7.178570+4770023547 2007 2.338490+3 5.909150+4 2.557000+3 4.864200+4 2.697920+3 4.275450+4770023547 2008 2.923990+3 3.523200+4 3.169000+3 2.903300+4 3.358970+3 2.498950+4770023547 2009 3.665500+3 1.995510+4 4.000000+3 1.593500+4 4.229490+3 1.367460+4770023547 2010 4.598630+3 1.087070+4 5.000000+3 8.641701+3 5.233180+3 7.579300+3770023547 2011 5.603491+3 6.225491+3 6.000000+3 5.113500+3 6.447420+3 4.113800+3770023547 2012 6.804750+3 3.494520+3 7.378210+3 2.735920+3 8.000000+3 2.142000+3770023547 2013 8.352000+3 1.865360+3 9.005680+3 1.464420+3 9.529290+3 1.221350+3770023547 2014 9.941890+3 1.065920+3 1.059450+4 8.690550+2 1.129000+4 7.085500+2770023547 2015 1.212110+4 5.573610+2 1.278440+4 4.655440+2 1.330560+4 4.067510+2770023547 2016 1.412740+4 3.321860+2 1.500000+4 2.712900+2 1.554920+4 2.389960+2770023547 2017 1.655920+4 1.914540+2 1.735950+4 1.621130+2 1.798500+4 1.430980+2770023547 2018 1.896570+4 1.186750+2 2.000000+4 9.842000+1 2.103980+4 8.169780+1770023547 2019 2.199390+4 6.941390+1 2.286410+4 6.019050+1 2.447070+4 4.689970+1770023547 2020 2.574930+4 3.889580+1 2.675180+4 3.380270+1 2.832940+4 2.738580+1770023547 2021 3.000000+4 2.218700+1 3.197810+4 1.737610+1 3.381560+4 1.403050+1770023547 2022 3.550980+4 1.163610+1 3.706180+4 9.878630+0 3.847530+4 8.560040+0770023547 2023 4.107990+4 6.661770+0 4.314830+4 5.519810+0 4.476780+4 4.793750+0770023547 2024 4.731160+4 3.879740+0 5.000000+4 3.140000+0 5.221370+4 2.648360+0770023547 2025 5.437800+4 2.257600+0 5.648840+4 1.943800+0 5.854120+4 1.689340+0770023547 2026 6.053340+4 1.481120+0 6.445340+4 1.157390+0 6.809110+4 9.327310-1770023547 2027 7.144200+4 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1.593340+4-3.645350+0 1.630700+4-3.118730+0 1.729200+4-2.141170+0770027506 2812 1.757640+4-1.930890+0 1.832290+4-1.480510+0 1.896570+4-1.075450+0770027506 2813 1.912180+4-9.924870-1 1.964210+4-7.737750-1 1.976810+4-7.286690-1770027506 2814 2.000000+4-6.639870-1 2.037560+4-5.414730-1 2.083770+4-4.047930-1770027506 2815 2.105110+4-3.551850-1 2.133350+4-2.997130-1 2.153010+4-2.724170-1770027506 2816 2.203360+4-1.867660-1 2.242480+4-1.286250-1 2.292890+4-4.850090-2770027506 2817 2.316200+4-1.689360-2 2.325560+4-7.943760-3 2.337460+4 3.737990-3770027506 2818 2.364680+4 2.099240-2 2.366070+4 2.228020-2 2.408810+4 5.196930-2770027506 2819 2.457260+4 8.355010-2 2.473330+4 9.366520-2 2.496770+4 1.107410-1770027506 2820 2.525730+4 1.230850-1 2.607390+4 1.512430-1 2.730460+4 1.712360-1770027506 2821 2.760900+4 1.754260-1 2.874410+4 1.690240-1 2.895080+4 1.674990-1770027506 2822 2.924100+4 1.608290-1 3.000000+4 1.309100-1 3.110420+4 1.048320-1770027506 2823 3.205750+4 7.932910-2 3.223570+4 7.212990-2 3.247070+4 6.098200-2770027506 2824 3.282390+4 3.880300-2 3.312290+4 2.304950-2 3.327960+4 1.509360-2770027506 2825 3.381560+4-1.052240-2 3.402370+4-2.118480-2 3.581060+4-1.090670-1770027506 2826 3.621030+4-1.284260-1 3.647660+4-1.445560-1 3.828240+4-2.432820-1770027506 2827 3.873690+4-2.702850-1 4.158380+4-4.124180-1 4.432830+4-5.792610-1770027506 2828 4.602210+4-6.854410-1 4.798590+4-8.035840-1 5.017910+4-9.273950-1770027506 2829 5.438680+4-1.215480+0 5.648840+4-1.359970+0 6.022430+4-1.649240+0770027506 2830 6.592800+4-2.229670+0 6.959470+4-2.809680+0 7.144200+4-3.245170+0770027506 2831 7.339290+4-3.969060+0 7.412360+4-4.409490+0 7.463390+4-4.859070+0770027506 2832 7.485590+4-5.119330+0 7.504890+4-5.386940+0 7.519979+4-5.622380+0770027506 2833 7.536329+4-5.898670+0 7.545060+4-6.051940+0 7.555520+4-6.235230+0770027506 2834 7.568870+4-6.459180+0 7.583529+4-6.679510+0 7.599979+4-6.872560+0770027506 2835 7.631890+4-6.997590+0 7.663790+4-6.789110+0 7.693329+4-6.343360+0770027506 2836 7.721660+4-5.812920+0 7.757490+4-5.179850+0 7.791650+4-4.662730+0770027506 2837 7.855700+4-3.997200+0 7.967790+4-3.270150+0 8.135920+4-2.558600+0770027506 2838 8.304050+4-2.076010+0 8.487020+4-1.686980+0 8.713090+4-1.291880+0770027506 2839 8.958510+4-9.864750-1 9.403360+4-5.737410-1 9.598770+4-4.225690-1770027506 2840 9.812200+4-3.037320-1 1.040770+5-3.458540-2 1.049120+5-1.171880-2770027506 2841 1.053590+5 8.184530-4 1.090510+5 1.051150-1 1.108620+5 1.565530-1770027506 2842 1.132640+5 2.175050-1 1.144620+5 2.417360-1 1.170140+5 2.680000-1770027506 2843 1.220820+5 3.516040-1 1.241090+5 3.810350-1 1.258830+5 3.980500-1770027506 2844 1.269710+5 3.988550-1 1.329790+5 4.425800-1 1.359340+5 4.490090-1770027506 2845 1.430980+5 4.845820-1 1.442820+5 4.860760-1 1.462870+5 4.850690-1770027506 2846 1.549550+5 5.070470-1 1.582980+5 5.012560-1 1.684460+5 5.090340-1770027506 2847 1.846890+5 4.840360-1 2.015560+5 4.600440-1 2.151150+5 4.304360-1770027506 2848 2.326710+5 4.002270-1 2.562850+5 3.592970-1 2.752930+5 3.252250-1770027506 2849 2.928650+5 2.969540-1 3.109840+5 2.682210-1 3.371150+5 2.343750-1770027506 2850 3.651980+5 2.045280-1 3.929860+5 1.790510-1 4.248600+5 1.531540-1770027506 2851 4.503890+5 1.345860-1 5.051000+5 1.016480-1 5.415170+5 8.870350-2770027506 2852 5.639620+5 7.875280-2 6.219690+5 5.930210-2 6.813000+5 4.222570-2770027506 2853 7.462770+5 2.996090-2 7.529810+5 2.845910-2 8.157610+5 1.935550-2770027506 2854 8.820400+5 1.104510-2 8.944270+5 9.557670-3 9.101560+5 8.085940-3770027506 2855 9.590240+5 3.639490-3 9.810340+5 1.669820-3 1.000000+6 0.000000+0770027506 2856 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0770027506 2857 770027 0 2858 7700 0 0 2859 0 0 0 2860 7.800000+4 1.934140+2 -1 0 2 27800 1451 1 0.000000+0 0.000000+0 0 0 0 67800 1451 2 0.000000+0 0.000000+0 0 0 3 27800 1451 3 0.000000+0 0.000000+0 0 0 146 347800 1451 4 78-PT LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7800 1451 6 ----JEF-2 MATERIAL 7800 REVISION 0 7800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7800 1451 8 ------ENDF-6 FORMAT 7800 1451 9 ******************************************************************7800 1451 10 * JEF-2 *7800 1451 11 * DATA TAKEN FROM EPDL *7800 1451 12 ******************************************************************7800 1451 13 =================================================================7800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7800 1451 15 ENDF/B-VI FORMAT 7800 1451 16 =================================================================7800 1451 17 CONTENTS 7800 1451 18 =================================================================7800 1451 19 MF/MT DESCRIPTION 7800 1451 20 =================================================================7800 1451 21 23/501 TOTAL CROSS SECTION 7800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 50 =================================================================7800 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7800 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7800 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7800 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7800 1451 55 =================================================================7800 1451 56 WARNING 7800 1451 57 =================================================================7800 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7800 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7800 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7800 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7800 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7800 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7800 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7800 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7800 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7800 1451 67 =================================================================7800 1451 68 DEFINITION OF NEW TYPES OF DATA 7800 1451 69 =================================================================7800 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7800 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7800 1451 72 7800 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7800 1451 74 C2 FIELDS ARE, 7800 1451 75 7800 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7800 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7800 1451 78 7800 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7800 1451 80 7800 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7800 1451 82 7800 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7800 1451 84 T = THE THOMSON CROSS SECTION 7800 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7800 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7800 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7800 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7800 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7800 1451 90 7800 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7800 1451 92 7800 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7800 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7800 1451 95 =================================================================7800 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7800 1451 97 =================================================================7800 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7800 1451 99 HERE - 10 EV TO 100 MEV 7800 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7800 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7800 1451 102 HERE - PHOTON INTERACTION 7800 1451 103 - AVERAGE FLUORESCENCE YIELD 7800 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7800 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7800 1451 106 HERE - NO SECONDARY ENERGY DATA 7800 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7800 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7800 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7800 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7800 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7800 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7800 1451 113 (SINCE THEY CAN BE NEGATIVE). 7800 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7800 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7800 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7800 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7800 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7800 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7800 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7800 1451 121 =================================================================7800 1451 122 REFERENCES 7800 1451 123 =================================================================7800 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7800 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7800 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7800 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7800 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7800 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7800 1451 130 7800 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7800 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7800 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7800 1451 134 OF THE DATA, ETC. 7800 1451 135 =================================================================7800 1451 136 HISTORY 7800 1451 137 =================================================================7800 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7800 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7800 1451 140 CROSS SECTIONS. 7800 1451 141 =================================================================7800 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7800 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7800 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7800 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7800 1451 146 *RECONSTRUCTED MT NUMBERS 7800 1451 147 516 =+(515,515)+(517,517) 7800 1451 148 522 =+(534,572) 7800 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7800 1451 150 1 451 184 17800 1451 151 23 501 540 17800 1451 152 23 502 124 17800 1451 153 23 504 31 17800 1451 154 23 515 30 17800 1451 155 23 516 59 17800 1451 156 23 517 42 17800 1451 157 23 522 380 27800 1451 158 23 534 31 27800 1451 159 23 535 38 27800 1451 160 23 536 42 27800 1451 161 23 537 44 27800 1451 162 23 538 43 27800 1451 163 23 539 46 27800 1451 164 23 540 48 27800 1451 165 23 541 59 27800 1451 166 23 542 62 27800 1451 167 23 543 47 27800 1451 168 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1.493850+3 7.706100+4 1.728500+3 6.204940+4 2.000000+3 4.996200+4780023545 1926 2.217040+3 4.189210+4 2.395150+3 3.670720+4 2.689490+3 3.010790+4780023545 1927 3.020000+3 2.469500+4 3.239810+3 2.162540+4 3.599900+3 1.772130+4780023545 1928 4.000000+3 1.452200+4 4.426730+3 1.179200+4 4.776390+3 1.008700+4780023545 1929 5.056650+3 8.972020+3 5.508170+3 7.526340+3 6.000000+3 6.313600+3780023545 1930 6.447420+3 5.383960+3 6.804750+3 4.777720+3 7.378210+3 3.993920+3780023545 1931 8.000000+3 3.338700+3 8.788180+3 2.674500+3 9.429871+3 2.264600+3780023545 1932 9.941701+3 1.998960+3 1.076200+4 1.657760+3 1.165000+4 1.374800+3780023545 1933 1.240990+4 1.173710+3 1.364360+4 9.258630+2 1.500000+4 7.303500+2780023545 1934 1.611850+4 6.050100+2 1.701190+4 5.253350+2 1.844550+4 4.250570+2780023545 1935 2.000000+4 3.439200+2 2.103980+4 2.990180+2 2.199390+4 2.645650+2780023545 1936 2.376880+4 2.135480+2 2.519330+4 1.818510+2 2.749180+4 1.429050+2780023545 1937 3.000000+4 1.123000+2 3.223710+4 9.122270+1 3.402370+4 7.805410+1780023545 1938 3.689100+4 6.177810+1 4.000000+4 4.889600+1 4.207960+4 4.199400+1780023545 1939 4.398770+4 3.675890+1 4.753750+4 2.911850+1 5.038660+4 2.444970+1780023545 1940 5.263490+4 2.144630+1 5.619690+4 1.761860+1 6.000000+4 1.447400+1780023545 1941 6.395620+4 1.186550+1 6.763120+4 9.971790+0 7.101970+4 8.564430+0780023545 1942 7.412360+4 7.496920+0 7.988540+4 5.938900+0 8.449879+4 4.986810+0780023545 1943 8.813290+4 4.374330+0 9.387910+4 3.593710+0 1.000000+5 2.952400+0780023545 1944 1.044270+5 2.575170+0 1.087560+5 2.265420+0 1.173610+5 1.781510+0780023545 1945 1.254480+5 1.443690+0 1.329790+5 1.201090+0 1.399390+5 1.022500+0780023545 1946 1.463280+5 8.881540-1 1.521560+5 7.851660-1 1.629200+5 6.328340-1780023545 1947 1.714900+5 5.383140-1 1.851970+5 4.223330-1 2.000000+5 3.313400-1780023545 1948 2.103980+5 2.836050-1 2.199390+5 2.475140-1 2.376880+5 1.950520-1780023545 1949 2.519330+5 1.631410-1 2.631750+5 1.426830-1 2.809850+5 1.167040-1780023545 1950 3.000000+5 9.545500-2 3.223710+5 7.735740-2 3.402370+5 6.607390-2780023545 1951 3.689100+5 5.215800-2 4.000000+5 4.117300-2 4.229490+5 3.526090-2780023545 1952 4.598630+5 2.794560-2 5.000000+5 2.214800-2 5.233180+5 1.963100-2780023545 1953 5.603490+5 1.638160-2 6.000000+5 1.367000-2 6.447420+5 1.144200-2780023545 1954 6.804750+5 1.001270-2 7.378210+5 8.196400-3 8.000000+5 6.709600-3780023545 1955 8.458970+5 5.904880-3 9.197270+5 4.875100-3 1.000000+6 4.024900-3780023545 1956 1.022000+6 3.845750-3 1.130270+6 3.149750-3 1.250000+6 2.579710-3780023545 1957 1.369310+6 2.185570-3 1.500000+6 1.851650-3 1.611850+6 1.633220-3780023545 1958 1.795470+6 1.352910-3 2.000000+6 1.120720-3 2.044000+6 1.080200-3780023545 1959 2.249780+6 9.273230-4 2.417610+6 8.270400-4 2.693110+6 6.965780-4780023545 1960 3.000000+6 5.866950-4 3.464100+6 4.750150-4 4.000000+6 3.845930-4780023545 1961 4.472140+6 3.294220-4 5.000000+6 2.821650-4 5.477230+6 2.498900-4780023545 1962 6.000000+6 2.213070-4 7.000000+6 1.813570-4 8.000000+6 1.532380-4780023545 1963 9.000000+6 1.324930-4 1.000000+7 1.166100-4 1.100000+7 1.040490-4780023545 1964 1.200000+7 9.383880-5 1.300000+7 8.549220-5 1.400000+7 7.845830-5780023545 1965 1.500000+7 7.247790-5 1.600000+7 6.733220-5 1.800000+7 5.894500-5780023545 1966 2.000000+7 5.240550-5 2.200000+7 4.715440-5 2.400000+7 4.285950-5780023545 1967 2.600000+7 3.927780-5 2.800000+7 3.623900-5 3.000000+7 3.363770-5780023545 1968 3.464100+7 2.885260-5 4.000000+7 2.474820-5 4.472140+7 2.200280-5780023545 1969 5.000000+7 1.956190-5 6.000000+7 1.617460-5 6.928200+7 1.393730-5780023545 1970 8.000000+7 1.200940-5 8.944271+7 1.071160-5 1.000000+8 9.554050-6780023545 1971 780023 0 1972 7.800000+4 1.934140+2 0 0 0 0780023546 1973 3.331000+2 0.000000+0 0 0 1 175780023546 1974 175 2 0 0 0 0780023546 1975 3.331000+2 0.000000+0 3.331000+2 1.423260+5 3.636380+2 1.311780+5780023546 1976 3.907310+2 1.311780+5 4.000000+2 1.337830+5 4.472140+2 1.656510+5780023546 1977 5.000000+2 2.051100+5 5.390590+2 2.223260+5 6.162700+2 2.395150+5780023546 1978 6.861040+2 2.412220+5 8.000000+2 2.256090+5 9.000000+2 2.060690+5780023546 1979 1.007810+3 1.833890+5 1.128540+3 1.632060+5 1.258800+3 1.418520+5780023546 1980 1.374920+3 1.233760+5 1.536440+3 1.000460+5 1.669910+3 8.549179+4780023546 1981 1.777560+3 7.598340+4 1.952200+3 6.366640+4 2.144000+3 5.334600+4780023546 1982 2.385860+3 4.231310+4 2.655000+3 3.356200+4 2.802920+3 2.954520+4780023546 1983 3.040400+3 2.440310+4 3.298000+3 2.015600+4 3.461010+3 1.785520+4780023546 1984 3.720760+3 1.488680+4 4.000000+3 1.241200+4 4.229490+3 1.069830+4780023546 1985 4.598630+3 8.560930+3 5.000000+3 6.850600+3 5.233180+3 6.029930+3780023546 1986 5.603491+3 4.979530+3 6.000000+3 4.112100+3 6.447420+3 3.327070+3780023546 1987 6.804750+3 2.838310+3 7.378210+3 2.236440+3 8.000000+3 1.762200+3780023546 1988 8.384830+3 1.520970+3 8.736720+3 1.337140+3 9.388430+3 1.067280+3780023546 1989 9.908911+3 9.012630+2 1.031810+4 7.939310+2 1.096390+4 6.564160+2780023546 1990 1.165000+4 5.427200+2 1.240990+4 4.404270+2 1.301210+4 3.765720+2780023546 1991 1.397080+4 2.977210+2 1.500000+4 2.353800+2 1.611850+4 1.838940+2780023546 1992 1.701190+4 1.528150+2 1.771420+4 1.330040+2 1.882240+4 1.079970+2780023546 1993 2.000000+4 8.769200+1 2.103980+4 7.315950+1 2.199390+4 6.243350+1780023546 1994 2.286410+4 5.434640+1 2.447070+4 4.263240+1 2.574930+4 3.553580+1780023546 1995 2.675180+4 3.099990+1 2.832940+4 2.525820+1 3.000000+4 2.058000+1780023546 1996 3.197810+4 1.623040+1 3.381560+4 1.318570+1 3.550980+4 1.099400+1780023546 1997 3.706180+4 9.377290+0 3.847530+4 8.158920+0 4.107990+4 6.395220+0780023546 1998 4.314830+4 5.327480+0 4.476780+4 4.645390+0 4.731160+4 3.782440+0780023546 1999 5.000000+4 3.079800+0 5.221370+4 2.610800+0 5.437800+4 2.236190+0780023546 2000 5.648840+4 1.933970+0 5.854120+4 1.687830+0 6.053340+4 1.485610+0780023546 2001 6.445340+4 1.169460+0 6.809110+4 9.485390-1 7.144200+4 7.897530-1780023546 2002 7.450910+4 6.727790-1 7.730070+4 5.847320-1 8.243990+4 4.574600-1780023546 2003 8.651729+4 3.805400-1 8.970720+4 3.314640-1 9.471390+4 2.694570-1780023546 2004 1.000000+5 2.190500-1 1.051990+5 1.807460-1 1.099690+5 1.527670-1780023546 2005 1.143200+5 1.318620-1 1.182690+5 1.159310-1 1.255090+5 9.254180-2780023546 2006 1.312290+5 7.815230-2 1.356890+5 6.884850-2 1.426650+5 5.692780-2780023546 2007 1.500000+5 4.707100-2 1.554920+5 4.117530-2 1.655920+5 3.257870-2780023546 2008 1.735950+5 2.733100-2 1.798500+5 2.395780-2 1.896570+5 1.966230-2780023546 2009 2.000000+5 1.613700-2 2.103980+5 1.346030-2 2.199390+5 1.148500-2780023546 2010 2.286410+5 9.995970-3 2.447070+5 7.839490-3 2.574930+5 6.533330-3780023546 2011 2.675180+5 5.698620-3 2.832940+5 4.642190-3 3.000000+5 3.781600-3780023546 2012 3.223710+5 2.959990-3 3.402370+5 2.463210-3 3.542840+5 2.146150-3780023546 2013 3.764490+5 1.745410-3 4.000000+5 1.419500-3 4.229490+5 1.184530-3780023546 2014 4.410200+5 1.034210-3 4.695850+5 8.437140-4 5.000000+5 6.883100-4780023546 2015 5.233180+5 5.979240-4 5.603490+5 4.841030-4 6.000000+5 3.919500-4780023546 2016 6.447420+5 3.190110-4 6.804750+5 2.733610-4 7.378210+5 2.168360-4780023546 2017 8.000000+5 1.720000-4 8.458970+5 1.481120-4 9.197270+5 1.183540-4780023546 2018 1.000000+6 9.457500-5 1.022000+6 8.985750-5 1.130270+6 7.327420-5780023546 2019 1.250000+6 5.975140-5 1.369310+6 5.098760-5 1.500000+6 4.350920-5780023546 2020 1.611850+6 3.837650-5 1.795470+6 3.179000-5 2.000000+6 2.633400-5780023546 2021 2.044000+6 2.538200-5 2.249780+6 2.178980-5 2.417610+6 1.943340-5780023546 2022 2.693110+6 1.636790-5 3.000000+6 1.378590-5 3.464100+6 1.116170-5780023546 2023 4.000000+6 9.036970-6 4.472140+6 7.740580-6 5.000000+6 6.630160-6780023546 2024 5.477230+6 5.871790-6 6.000000+6 5.200160-6 7.000000+6 4.261430-6780023546 2025 8.000000+6 3.600700-6 9.000000+6 3.113240-6 1.000000+7 2.740030-6780023546 2026 1.100000+7 2.444890-6 1.200000+7 2.204970-6 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1.438000+4-9.148910+0780027506 2915 1.469830+4-7.730680+0 1.513240+4-6.308160+0 1.554920+4-5.211470+0780027506 2916 1.580980+4-4.678380+0 1.669810+4-3.310830+0 1.695460+4-2.984940+0780027506 2917 1.715140+4-2.808940+0 1.781870+4-2.199580+0 1.816120+4-1.930270+0780027506 2918 1.918530+4-1.308710+0 1.978370+4-1.045290+0 2.051330+4-7.666650-1780027506 2919 2.066400+4-7.068370-1 2.104230+4-5.940260-1 2.139280+4-5.113190-1780027506 2920 2.149710+4-4.927580-1 2.166690+4-4.541470-1 2.255810+4-2.353050-1780027506 2921 2.270610+4-2.029070-1 2.306930+4-1.297940-1 2.325560+4-1.012690-1780027506 2922 2.352720+4-6.427440-2 2.365370+4-5.157330-2 2.419980+4 6.216440-3780027506 2923 2.444360+4 3.484030-2 2.509740+4 8.800190-2 2.568030+4 1.181910-1780027506 2924 2.594800+4 1.239230-1 2.685550+4 1.540380-1 2.718870+4 1.669110-1780027506 2925 2.846700+4 1.790990-1 2.874410+4 1.769390-1 3.002590+4 1.562650-1780027506 2926 3.118310+4 1.431710-1 3.135650+4 1.380170-1 3.216600+4 1.092340-1780027506 2927 3.302390+4 8.613040-2 3.333400+4 7.593720-2 3.414340+4 4.479700-2780027506 2928 3.472240+4 1.171320-2 3.483520+4 4.928220-3 3.550980+4-2.788580-2780027506 2929 3.710310+4-1.034460-1 3.760430+4-1.306770-1 3.799650+4-1.568320-1780027506 2930 3.866980+4-1.937200-1 4.000000+4-2.609290-1 4.071440+4-2.975560-1780027506 2931 4.210140+4-3.741280-1 4.395060+4-4.674080-1 4.602210+4-5.908760-1780027506 2932 4.931950+4-7.860960-1 5.223090+4-9.600260-1 5.756330+4-1.305430+0780027506 2933 6.209120+4-1.652200+0 6.809110+4-2.256750+0 7.169310+4-2.800850+0780027506 2934 7.358180+4-3.231680+0 7.560590+4-3.957450+0 7.636329+4-4.399320+0780027506 2935 7.689100+4-4.851110+0 7.711879+4-5.111140+0 7.731690+4-5.378210+0780027506 2936 7.747170+4-5.612770+0 7.763950+4-5.887500+0 7.772910+4-6.039600+0780027506 2937 7.783629+4-6.221180+0 7.797340+4-6.442440+0 7.812379+4-6.659230+0780027506 2938 7.829260+4-6.847420+0 7.862129+4-6.965490+0 7.895000+4-6.749530+0780027506 2939 7.924900+4-6.302470+0 7.957710+4-5.713190+0 8.000000+4-5.013690+0780027506 2940 8.029710+4-4.616690+0 8.064870+4-4.260700+0 8.148770+4-3.633540+0780027506 2941 8.306100+4-2.879910+0 8.405720+4-2.526180+0 8.570910+4-2.070580+0780027506 2942 8.736750+4-1.731820+0 9.098640+4-1.164520+0 9.370550+4-8.190760-1780027506 2943 9.587660+4-5.896540-1 9.880390+4-3.325570-1 1.003330+5-2.269700-1780027506 2944 1.044270+5-5.003450-2 1.054050+5-6.839610-3 1.071750+5 5.809750-2780027506 2945 1.089460+5 9.735760-2 1.130480+5 1.554900-1 1.143200+5 1.667650-1780027506 2946 1.205630+5 2.700240-1 1.218350+5 2.844180-1 1.239140+5 2.961530-1780027506 2947 1.300540+5 3.616120-1 1.320930+5 3.756340-1 1.334930+5 3.752610-1780027506 2948 1.364540+5 3.936510-1 1.432560+5 4.449520-1 1.458910+5 4.552900-1780027506 2949 1.480540+5 4.508240-1 1.568000+5 4.758260-1 1.583680+5 4.757540-1780027506 2950 1.607080+5 4.702660-1 1.685820+5 4.835280-1 1.742460+5 4.905520-1780027506 2951 1.798500+5 4.834140-1 1.963940+5 4.722510-1 2.041510+5 4.563530-1780027506 2952 2.211170+5 4.294290-1 2.360220+5 3.986710-1 2.519330+5 3.683270-1780027506 2953 2.680820+5 3.369020-1 2.900500+5 3.011120-1 3.109840+5 2.718310-1780027506 2954 3.435940+5 2.334140-1 3.725790+5 2.036420-1 4.113140+5 1.650400-1780027506 2955 4.472140+5 1.405110-1 4.625150+5 1.295710-1 5.031990+5 1.073790-1780027506 2956 5.524000+5 8.351260-2 5.827990+5 7.218510-2 6.041020+5 6.474010-2780027506 2957 6.119980+5 6.179580-2 6.697070+5 4.725000-2 6.768140+5 4.507870-2780027506 2958 7.495080+5 3.113450-2 8.000000+5 2.186090-2 8.472200+5 1.561610-2780027506 2959 8.944270+5 9.624460-3 9.134170+5 7.822300-3 9.810870+5 1.684590-3780027506 2960 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0780027506 2961 780027 0 2962 7800 0 0 2963 0 0 0 2964 7.900000+4 1.952750+2 -1 0 2 27900 1451 1 0.000000+0 0.000000+0 0 0 0 67900 1451 2 0.000000+0 0.000000+0 0 0 3 27900 1451 3 0.000000+0 0.000000+0 0 0 146 347900 1451 4 79-AU LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 7900 1451 6 ----JEF-2 MATERIAL 7900 REVISION 0 7900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7900 1451 8 ------ENDF-6 FORMAT 7900 1451 9 ******************************************************************7900 1451 10 * JEF-2 *7900 1451 11 * DATA TAKEN FROM EPDL *7900 1451 12 ******************************************************************7900 1451 13 =================================================================7900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7900 1451 15 ENDF/B-VI FORMAT 7900 1451 16 =================================================================7900 1451 17 CONTENTS 7900 1451 18 =================================================================7900 1451 19 MF/MT DESCRIPTION 7900 1451 20 =================================================================7900 1451 21 23/501 TOTAL CROSS SECTION 7900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 7900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 50 =================================================================7900 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 7900 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 7900 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7900 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 7900 1451 55 =================================================================7900 1451 56 WARNING 7900 1451 57 =================================================================7900 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7900 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7900 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7900 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7900 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7900 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7900 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7900 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7900 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7900 1451 67 =================================================================7900 1451 68 DEFINITION OF NEW TYPES OF DATA 7900 1451 69 =================================================================7900 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7900 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7900 1451 72 7900 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7900 1451 74 C2 FIELDS ARE, 7900 1451 75 7900 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7900 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7900 1451 78 7900 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7900 1451 80 7900 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7900 1451 82 7900 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7900 1451 84 T = THE THOMSON CROSS SECTION 7900 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 7900 1451 86 FF(M) = THE ATOMIC FORM FACTOR 7900 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7900 1451 88 F1(E) = THE REAL SCATTERING FACTOR 7900 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 7900 1451 90 7900 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 7900 1451 92 7900 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7900 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7900 1451 95 =================================================================7900 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7900 1451 97 =================================================================7900 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7900 1451 99 HERE - 10 EV TO 100 MEV 7900 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7900 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 7900 1451 102 HERE - PHOTON INTERACTION 7900 1451 103 - AVERAGE FLUORESCENCE YIELD 7900 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7900 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7900 1451 106 HERE - NO SECONDARY ENERGY DATA 7900 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7900 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 7900 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 7900 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7900 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7900 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE7900 1451 113 (SINCE THEY CAN BE NEGATIVE). 7900 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7900 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 7900 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 7900 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 7900 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 7900 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7900 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE7900 1451 121 =================================================================7900 1451 122 REFERENCES 7900 1451 123 =================================================================7900 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7900 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7900 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7900 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7900 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7900 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7900 1451 130 7900 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7900 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7900 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7900 1451 134 OF THE DATA, ETC. 7900 1451 135 =================================================================7900 1451 136 HISTORY 7900 1451 137 =================================================================7900 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 7900 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 7900 1451 140 CROSS SECTIONS. 7900 1451 141 =================================================================7900 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7900 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 7900 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7900 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7900 1451 146 *RECONSTRUCTED MT NUMBERS 7900 1451 147 516 =+(515,515)+(517,517) 7900 1451 148 522 =+(534,572) 7900 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7900 1451 150 1 451 184 17900 1451 151 23 501 537 17900 1451 152 23 502 129 17900 1451 153 23 504 30 17900 1451 154 23 515 30 17900 1451 155 23 516 59 17900 1451 156 23 517 42 17900 1451 157 23 522 372 27900 1451 158 23 534 31 27900 1451 159 23 535 37 27900 1451 160 23 536 42 27900 1451 161 23 537 44 27900 1451 162 23 538 42 27900 1451 163 23 539 45 27900 1451 164 23 540 47 27900 1451 165 23 541 59 27900 1451 166 23 542 61 27900 1451 167 23 543 47 27900 1451 168 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3.169770+2 2.199390+4 2.806060+2790023545 1925 2.376880+4 2.267090+2 2.519330+4 1.931960+2 2.749180+4 1.519820+2790023545 1926 3.000000+4 1.195600+2 3.223710+4 9.720210+1 3.402370+4 8.322290+1790023545 1927 3.689100+4 6.593170+1 4.000000+4 5.223300+1 4.207960+4 4.488610+1790023545 1928 4.398770+4 3.931050+1 4.753750+4 3.116750+1 5.038660+4 2.618770+1790023545 1929 5.263490+4 2.298230+1 5.619690+4 1.889460+1 6.000000+4 1.553400+1790023545 1930 6.395620+4 1.274280+1 6.763120+4 1.071520+1 7.101970+4 9.207490+0790023545 1931 7.412360+4 8.063350+0 7.988540+4 6.392500+0 8.449879+4 5.370780+0790023545 1932 8.813290+4 4.713160+0 9.387910+4 3.874580+0 1.000000+5 3.185200+0790023545 1933 1.044270+5 2.779240+0 1.087560+5 2.445780+0 1.173610+5 1.924580+0790023545 1934 1.254480+5 1.560510+0 1.329790+5 1.298910+0 1.399390+5 1.106250+0790023545 1935 1.463280+5 9.612640-1 1.582170+5 7.517520-1 1.677630+5 6.251710-1790023545 1936 1.752990+5 5.444300-1 1.872430+5 4.424420-1 2.000000+5 3.595600-1790023545 1937 2.103980+5 3.078580-1 2.199390+5 2.687560-1 2.376880+5 2.118950-1790023545 1938 2.519330+5 1.772930-1 2.631750+5 1.551030-1 2.809850+5 1.269150-1790023545 1939 3.000000+5 1.038500-1 3.223710+5 8.418570-2 3.402370+5 7.192200-2790023545 1940 3.689100+5 5.679340-2 4.000000+5 4.484700-2 4.229490+5 3.841160-2790023545 1941 4.598630+5 3.044770-2 5.000000+5 2.413500-2 5.233180+5 2.139390-2790023545 1942 5.603490+5 1.785470-2 6.000000+5 1.490100-2 6.447420+5 1.247250-2790023545 1943 6.804750+5 1.091460-2 7.378210+5 8.934930-3 8.000000+5 7.314300-3790023545 1944 8.458970+5 6.435940-3 9.197270+5 5.312160-3 1.000000+6 4.384600-3790023545 1945 1.022000+6 4.189530-3 1.130270+6 3.432070-3 1.250000+6 2.811560-3790023545 1946 1.369310+6 2.381360-3 1.500000+6 2.016980-3 1.611850+6 1.778820-3790023545 1947 1.795470+6 1.473260-3 2.000000+6 1.220190-3 2.044000+6 1.176850-3790023545 1948 2.249780+6 1.010090-3 2.417610+6 9.007270-4 2.693110+6 7.584710-4790023545 1949 3.000000+6 6.386830-4 3.464100+6 5.170400-4 4.000000+6 4.185650-4790023545 1950 4.472140+6 3.584480-4 5.000000+6 3.069650-4 5.477230+6 2.718230-4790023545 1951 6.000000+6 2.407040-4 7.000000+6 1.971980-4 8.000000+6 1.666930-4790023545 1952 9.000000+6 1.441060-4 1.000000+7 1.267700-4 1.100000+7 1.131010-4790023545 1953 1.200000+7 1.020160-4 1.300000+7 9.293120-5 1.400000+7 8.526330-5790023545 1954 1.500000+7 7.877070-5 1.600000+7 7.317810-5 1.800000+7 6.406000-5790023545 1955 2.000000+7 5.695060-5 2.200000+7 5.124140-5 2.400000+7 4.657400-5790023545 1956 2.600000+7 4.267330-5 2.800000+7 3.937280-5 3.000000+7 3.654740-5790023545 1957 3.464100+7 3.134750-5 4.000000+7 2.688750-5 4.472140+7 2.390500-5790023545 1958 5.000000+7 2.125330-5 6.000000+7 1.756940-5 6.928200+7 1.513840-5790023545 1959 8.000000+7 1.304370-5 8.944271+7 1.163400-5 1.000000+8 1.037660-5790023545 1960 790023 0 1961 7.900000+4 1.952750+2 0 0 0 0790023546 1962 3.534800+2 0.000000+0 0 0 1 177790023546 1963 177 2 0 0 0 0790023546 1964 3.534800+2 0.000000+0 3.534800+2 1.356310+5 3.861380+2 1.236930+5790023546 1965 4.075750+2 1.236930+5 4.218580+2 1.296720+5 4.592700+2 1.593720+5790023546 1966 5.000000+2 1.958740+5 5.168940+2 2.066900+5 5.740880+2 2.274430+5790023546 1967 6.490000+2 2.386380+5 7.459100+2 2.344020+5 8.000000+2 2.271680+5790023546 1968 9.000000+2 2.091430+5 1.000000+3 1.891200+5 1.106680+3 1.670600+5790023546 1969 1.224740+3 1.475740+5 1.355400+3 1.263920+5 1.500000+3 1.082500+5790023546 1970 1.611850+3 9.498590+4 1.795470+3 7.807390+4 2.000000+3 6.417300+4790023546 1971 2.152670+3 5.522460+4 2.317000+3 4.752400+4 2.500320+3 4.004740+4790023546 1972 2.647270+3 3.522250+4 2.884050+3 2.905290+4 3.142000+3 2.396400+4790023546 1973 3.337490+3 2.064300+4 3.653760+3 1.650410+4 4.000000+3 1.319500+4790023546 1974 4.229490+3 1.138720+4 4.598630+3 9.129031+3 5.000000+3 7.318701+3790023546 1975 5.233180+3 6.448040+3 5.603491+3 5.332350+3 6.000000+3 4.409700+3790023546 1976 6.447420+3 3.572780+3 6.804750+3 3.051090+3 7.378210+3 2.407840+3790023546 1977 8.000000+3 1.900200+3 8.458970+3 1.600630+3 8.820401+3 1.407370+3790023546 1978 9.391701+3 1.160340+3 1.000000+4 9.566700+2 1.047000+4 8.244970+2790023546 1979 1.089930+4 7.239150+2 1.169340+4 5.765140+2 1.232670+4 4.860170+2790023546 1980 1.282410+4 4.275950+2 1.360810+4 3.528620+2 1.444000+4 2.911900+2790023546 1981 1.504010+4 2.535090+2 1.615080+4 1.989180+2 1.703740+4 1.658380+2790023546 1982 1.773410+4 1.446910+2 1.883300+4 1.179170+2 2.000000+4 9.609800+1790023546 1983 2.103980+4 8.023680+1 2.199390+4 6.852120+1 2.286410+4 5.968230+1790023546 1984 2.447070+4 4.686850+1 2.574930+4 3.909830+1 2.675180+4 3.412830+1790023546 1985 2.832940+4 2.783240+1 3.000000+4 2.269800+1 3.197810+4 1.791720+1790023546 1986 3.381560+4 1.456770+1 3.550980+4 1.215480+1 3.706180+4 1.037370+1790023546 1987 3.847530+4 9.030730+0 4.107990+4 7.085210+0 4.314830+4 5.906430+0790023546 1988 4.476780+4 5.152930+0 4.731160+4 4.199020+0 5.000000+4 3.421700+0790023546 1989 5.221370+4 2.902190+0 5.437800+4 2.487020+0 5.648840+4 2.151900+0790023546 1990 5.854120+4 1.878860+0 6.053340+4 1.654440+0 6.445340+4 1.303370+0790023546 1991 6.809110+4 1.057870+0 7.144200+4 8.813020-1 7.450910+4 7.511590-1790023546 1992 7.730070+4 6.531500-1 8.243990+4 5.113930-1 8.651729+4 4.256590-1790023546 1993 8.970720+4 3.709290-1 9.471390+4 3.017420-1 1.000000+5 2.454600-1790023546 1994 1.051990+5 2.026240-1 1.099690+5 1.713220-1 1.143200+5 1.479260-1790023546 1995 1.182690+5 1.300910-1 1.255090+5 1.038970-1 1.312290+5 8.777490-2790023546 1996 1.356890+5 7.734720-2 1.426650+5 6.398190-2 1.500000+5 5.292600-2790023546 1997 1.554920+5 4.631440-2 1.655920+5 3.666900-2 1.735950+5 3.077770-2790023546 1998 1.798500+5 2.698910-2 1.896570+5 2.216250-2 2.000000+5 1.819900-2790023546 1999 2.103980+5 1.518520-2 2.199390+5 1.296050-2 2.286410+5 1.128300-2790023546 2000 2.447070+5 8.852750-3 2.574930+5 7.380200-3 2.675180+5 6.438880-3790023546 2001 2.832940+5 5.247160-3 3.000000+5 4.276000-3 3.223710+5 3.348080-3790023546 2002 3.402370+5 2.786850-3 3.542840+5 2.428580-3 3.764490+5 1.975660-3790023546 2003 4.000000+5 1.607200-3 4.229490+5 1.341690-3 4.410200+5 1.171760-3790023546 2004 4.695850+5 9.563490-4 5.000000+5 7.805400-4 5.233180+5 6.783250-4790023546 2005 5.603490+5 5.495420-4 6.000000+5 4.452100-4 6.447420+5 3.622750-4790023546 2006 6.804750+5 3.103790-4 7.378210+5 2.461360-4 8.000000+5 1.951900-4790023546 2007 8.458970+5 1.681960-4 9.197270+5 1.345410-4 1.000000+6 1.076200-4790023546 2008 1.022000+6 1.022780-4 1.130270+6 8.344240-5 1.250000+6 6.807550-5790023546 2009 1.369310+6 5.805340-5 1.500000+6 4.950680-5 1.611850+6 4.366130-5790023546 2010 1.795470+6 3.616130-5 2.000000+6 2.994960-5 2.044000+6 2.888580-5790023546 2011 2.249780+6 2.479280-5 2.417610+6 2.210840-5 2.693110+6 1.861670-5790023546 2012 3.000000+6 1.567650-5 3.464100+6 1.269080-5 4.000000+6 1.027370-5790023546 2013 4.472140+6 8.798110-6 5.000000+6 7.534450-6 5.477230+6 6.671900-6790023546 2014 6.000000+6 5.908090-6 7.000000+6 4.840210-6 8.000000+6 4.091470-6790023546 2015 9.000000+6 3.537080-6 1.000000+7 3.111570-6 1.100000+7 2.776060-6790023546 2016 1.200000+7 2.503980-6 1.300000+7 2.281000-6 1.400000+7 2.092790-6790023546 2017 1.500000+7 1.933430-6 1.600000+7 1.796160-6 1.800000+7 1.572350-6790023546 2018 2.000000+7 1.397850-6 2.200000+7 1.257720-6 2.400000+7 1.143160-6790023546 2019 2.600000+7 1.047420-6 2.800000+7 9.664060-7 3.000000+7 8.970560-7790023546 2020 3.464100+7 7.694260-7 4.000000+7 6.599550-7 4.472140+7 5.867490-7790023546 2021 5.000000+7 5.216630-7 6.000000+7 4.312410-7 6.928200+7 3.715710-7790023546 2022 8.000000+7 3.201580-7 8.944271+7 2.855560-7 1.000000+8 2.546940-7790023546 2023 790023 0 2024 7.900000+4 1.952750+2 0 0 0 0790023547 2025 3.350500+2 0.000000+0 0 0 1 179790023547 2026 179 2 0 0 0 0790023547 2027 3.350500+2 0.000000+0 3.350500+2 1.985670+5 3.460450+2 1.768520+5790023547 2028 3.527800+2 1.691120+5 3.637440+2 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2.177600+4-5.254090-1 2.250240+4-3.470490-1 2.297710+4-2.430600-1790027506 2915 2.326740+4-2.010180-1 2.350750+4-1.795480-1 2.409560+4-9.901820-2790027506 2916 2.447070+4-4.920150-2 2.457260+4-3.604990-2 2.458740+4-3.436770-2790027506 2917 2.473820+4-1.972500-2 2.497920+4 6.126170-3 2.510180+4 1.673700-2790027506 2918 2.522450+4 2.760580-2 2.580160+4 6.394800-2 2.638790+4 9.568580-2790027506 2919 2.700330+4 1.236420-1 2.806020+4 1.506570-1 2.884340+4 1.673350-1790027506 2920 3.022200+4 1.650710-1 3.111310+4 1.535040-1 3.208640+4 1.349030-1790027506 2921 3.325390+4 1.104120-1 3.339060+4 1.078320-1 3.366800+4 9.983560-2790027506 2922 3.400880+4 8.533520-2 3.443590+4 6.330710-2 3.465240+4 5.498490-2790027506 2923 3.542840+4 2.192120-2 3.564220+4 1.342120-2 3.615320+4-7.418310-3790027506 2924 3.701250+4-4.422520-2 3.744110+4-6.587900-2 3.765570+4-7.784100-2790027506 2925 3.813350+4-1.088440-1 3.868160+4-1.380550-1 4.013980+4-2.061680-1790027506 2926 4.137910+4-2.638660-1 4.286630+4-3.458670-1 4.518200+4-4.643460-1790027506 2927 4.689920+4-5.720190-1 5.155310+4-8.266310-1 5.381560+4-9.549770-1790027506 2928 5.929100+4-1.294550+0 6.389060+4-1.630330+0 6.832350+4-2.059240+0790027506 2929 6.996970+4-2.217970+0 7.392520+4-2.808340+0 7.589210+4-3.255530+0790027506 2930 7.788190+4-3.948020+0 7.863200+4-4.371200+0 7.917760+4-4.819220+0790027506 2931 7.941310+4-5.077140+0 7.961790+4-5.342310+0 7.977790+4-5.575590+0790027506 2932 7.995150+4-5.849310+0 8.004400+4-6.001130+0 8.015500+4-6.182720+0790027506 2933 8.029670+4-6.404680+0 8.045210+4-6.623250+0 8.062670+4-6.815910+0790027506 2934 8.093579+4-6.941440+0 8.124479+4-6.786530+0 8.153110+4-6.421670+0790027506 2935 8.183329+4-5.907770+0 8.215970+4-5.349310+0 8.248979+4-4.833640+0790027506 2936 8.302529+4-4.234350+0 8.404100+4-3.530660+0 8.505129+4-3.048920+0790027506 2937 8.648500+4-2.522580+0 8.881790+4-1.911070+0 9.128750+4-1.459220+0790027506 2938 9.403360+4-1.083590+0 9.529179+4-9.415390-1 1.005840+5-5.235160-1790027506 2939 1.026070+5-3.935590-1 1.088450+5-1.205620-1 1.098230+5-7.661020-2790027506 2940 1.124870+5 2.432840-2 1.138190+5 6.463720-2 1.177730+5 1.397150-1790027506 2941 1.218350+5 2.318140-1 1.245760+5 2.800120-1 1.268640+5 2.979240-1790027506 2942 1.314050+5 3.530780-1 1.329790+5 3.672500-1 1.346870+5 3.734870-1790027506 2943 1.412440+5 4.267260-1 1.433110+5 4.366560-1 1.463280+5 4.410380-1790027506 2944 1.540330+5 4.766090-1 1.559890+5 4.799930-1 1.579580+5 4.760410-1790027506 2945 1.678940+5 4.936200-1 1.701190+5 4.903670-1 1.730830+5 4.865270-1790027506 2946 1.799820+5 4.876760-1 1.930920+5 4.713290-1 2.015540+5 4.626840-1790027506 2947 2.297840+5 4.134640-1 2.518410+5 3.784040-1 2.710810+5 3.430030-1790027506 2948 2.928650+5 3.078270-1 3.109840+5 2.790560-1 3.390920+5 2.419190-1790027506 2949 3.651980+5 2.137990-1 3.929860+5 1.876020-1 4.248560+5 1.607780-1790027506 2950 4.503890+5 1.413580-1 4.900420+5 1.159940-1 5.477230+5 8.967170-2790027506 2951 6.063100+5 6.790560-2 6.556670+5 5.234970-2 6.644940+5 4.932720-2790027506 2952 7.249150+5 3.597640-2 7.287200+5 3.495780-2 7.790610+5 2.602850-2790027506 2953 7.891950+5 2.398260-2 8.069290+5 2.152700-2 8.468310+5 1.697190-2790027506 2954 8.556790+5 1.568390-2 8.601310+5 1.491700-2 8.999920+5 9.240760-3790027506 2955 9.493730+5 4.564460-3 9.820870+5 1.592260-3 1.000000+6 0.000000+0790027506 2956 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0790027506 2957 790027 0 2958 7900 0 0 2959 0 0 0 2960 8.000000+4 1.988670+2 -1 0 2 28000 1451 1 0.000000+0 0.000000+0 0 0 0 68000 1451 2 0.000000+0 0.000000+0 0 0 3 28000 1451 3 0.000000+0 0.000000+0 0 0 146 348000 1451 4 80-HG LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8000 1451 6 ----JEF-2 MATERIAL 8000 REVISION 0 8000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8000 1451 8 ------ENDF-6 FORMAT 8000 1451 9 ******************************************************************8000 1451 10 * JEF-2 *8000 1451 11 * DATA TAKEN FROM EPDL *8000 1451 12 ******************************************************************8000 1451 13 =================================================================8000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8000 1451 15 ENDF/B-VI FORMAT 8000 1451 16 =================================================================8000 1451 17 CONTENTS 8000 1451 18 =================================================================8000 1451 19 MF/MT DESCRIPTION 8000 1451 20 =================================================================8000 1451 21 23/501 TOTAL CROSS SECTION 8000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 50 =================================================================8000 1451 51 27/502 COHERENT SCATTERING FORM FACTORS 8000 1451 52 27/504 INCOHERENT SCATTERING FUNCTIONS 8000 1451 53 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8000 1451 54 27/506 COHERENT REAL SCATTERING FACTOR 8000 1451 55 =================================================================8000 1451 56 WARNING 8000 1451 57 =================================================================8000 1451 58 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8000 1451 59 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8000 1451 60 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8000 1451 61 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8000 1451 62 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8000 1451 63 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8000 1451 64 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8000 1451 65 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8000 1451 66 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8000 1451 67 =================================================================8000 1451 68 DEFINITION OF NEW TYPES OF DATA 8000 1451 69 =================================================================8000 1451 70 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8000 1451 71 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8000 1451 72 8000 1451 73 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8000 1451 74 C2 FIELDS ARE, 8000 1451 75 8000 1451 76 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8000 1451 77 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8000 1451 78 8000 1451 79 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8000 1451 80 8000 1451 81 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8000 1451 82 8000 1451 83 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8000 1451 84 T = THE THOMSON CROSS SECTION 8000 1451 85 MU = THE COSINE OF THE SCATTERING ANGLE 8000 1451 86 FF(M) = THE ATOMIC FORM FACTOR 8000 1451 87 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8000 1451 88 F1(E) = THE REAL SCATTERING FACTOR 8000 1451 89 F2(E) = THE IMAGINARY SCATTERING FACTOR 8000 1451 90 8000 1451 91 F1(E) AND F2(E) ARE ISOTROPIC. 8000 1451 92 8000 1451 93 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8000 1451 94 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8000 1451 95 =================================================================8000 1451 96 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8000 1451 97 =================================================================8000 1451 98 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8000 1451 99 HERE - 10 EV TO 100 MEV 8000 1451 100 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8000 1451 101 - FLUORESCENCE AND ELECTRON SPECTRA 8000 1451 102 HERE - PHOTON INTERACTION 8000 1451 103 - AVERAGE FLUORESCENCE YIELD 8000 1451 104 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8000 1451 105 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8000 1451 106 HERE - NO SECONDARY ENERGY DATA 8000 1451 107 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8000 1451 108 INTERPOLABLE - SUMMATION CROSS SECTIONS 8000 1451 109 (E.G., TOTAL) ARE NOT INCLUDED 8000 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 8000 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8000 1451 112 - SCATTERING FACTORS LINEARLY INTERPOLABLE8000 1451 113 (SINCE THEY CAN BE NEGATIVE). 8000 1451 114 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8000 1451 115 ORDER TO ALLOW CROSS SECTIONS DEFINED 8000 1451 116 BY SUMMATION (E.G., TOTAL) TO BE 8000 1451 117 CONSISTENTLY DEFINED AT ALL ENERGIES. 8000 1451 118 - FORM FACTORS ARE LOG X VS. LOG Y 8000 1451 119 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8000 1451 120 - SCATTERING FACTORS LINEARLY INTERPOLABLE8000 1451 121 =================================================================8000 1451 122 REFERENCES 8000 1451 123 =================================================================8000 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8000 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8000 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8000 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8000 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8000 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8000 1451 130 8000 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8000 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8000 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8000 1451 134 OF THE DATA, ETC. 8000 1451 135 =================================================================8000 1451 136 HISTORY 8000 1451 137 =================================================================8000 1451 138 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8000 1451 139 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8000 1451 140 CROSS SECTIONS. 8000 1451 141 =================================================================8000 1451 142 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8000 1451 143 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8000 1451 144 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8000 1451 145 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8000 1451 146 *RECONSTRUCTED MT NUMBERS 8000 1451 147 516 =+(515,515)+(517,517) 8000 1451 148 522 =+(534,572) 8000 1451 149 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8000 1451 150 1 451 184 18000 1451 151 23 501 556 18000 1451 152 23 502 132 18000 1451 153 23 504 30 18000 1451 154 23 515 30 18000 1451 155 23 516 59 18000 1451 156 23 517 42 18000 1451 157 23 522 388 28000 1451 158 23 534 31 28000 1451 159 23 535 38 28000 1451 160 23 536 41 28000 1451 161 23 537 43 28000 1451 162 23 538 43 28000 1451 163 23 539 45 28000 1451 164 23 540 48 28000 1451 165 23 541 58 28000 1451 166 23 542 61 28000 1451 167 23 543 48 28000 1451 168 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2.103980+4 2.355630+2 2.299120+4 1.882770+2800023544 1911 2.457260+4 1.591520+2 2.582970+4 1.403060+2 2.783680+4 1.161370+2800023544 1912 3.000000+4 9.613100+1 3.197810+4 8.098840+1 3.381560+4 6.970870+1800023544 1913 3.550980+4 6.113540+1 3.868160+4 4.859080+1 4.124490+4 4.090250+1800023544 1914 4.327830+4 3.594560+1 4.651790+4 2.961360+1 5.000000+4 2.439700+1800023544 1915 5.221370+4 2.157800+1 5.663190+4 1.714060+1 6.080350+4 1.401320+1800023544 1916 6.470500+4 1.174860+1 6.832350+4 1.006940+1 7.165540+4 8.798220+0800023544 1917 7.788190+4 6.947490+0 8.290440+4 5.819730+0 8.688270+4 5.095760+0800023544 1918 9.321090+4 4.175110+0 1.000000+5 3.420800+0 1.044270+5 3.017850+0800023544 1919 1.132640+5 2.385840+0 1.216070+5 1.942420+0 1.294100+5 1.622580+0800023544 1920 1.366470+5 1.386230+0 1.433110+5 1.207850+0 1.557640+5 9.491210-1800023544 1921 1.658090+5 7.921420-1 1.737650+5 6.916950-1 1.864220+5 5.643930-1800023544 1922 2.000000+5 4.605200-1 2.103980+5 3.991120-1 2.199390+5 3.521350-1800023544 1923 2.376880+5 2.828370-1 2.519330+5 2.399690-1 2.631750+5 2.121390-1800023544 1924 2.809850+5 1.763270-1 3.000000+5 1.465600-1 3.223710+5 1.205150-1800023544 1925 3.402370+5 1.040670-1 3.689100+5 8.350560-2 4.000000+5 6.700700-2800023544 1926 4.229490+5 5.792350-2 4.598630+5 4.655390-2 5.000000+5 3.741600-2800023544 1927 5.477230+5 2.977030-2 6.000000+5 2.368700-2 6.447420+5 1.998170-2800023544 1928 6.804750+5 1.758830-2 7.378210+5 1.452490-2 8.000000+5 1.199500-2800023544 1929 8.458970+5 1.060610-2 9.197270+5 8.818460-3 1.000000+6 7.332100-3800023544 1930 1.022000+6 7.009690-3 1.130270+6 5.749360-3 1.250000+6 4.715640-3800023544 1931 1.369310+6 3.987720-3 1.500000+6 3.372160-3 1.611850+6 2.973850-3800023544 1932 1.795470+6 2.462830-3 2.000000+6 2.039620-3 2.044000+6 1.967200-3800023544 1933 2.249780+6 1.688350-3 2.417610+6 1.505480-3 2.693110+6 1.267620-3800023544 1934 3.000000+6 1.067350-3 3.464100+6 8.639540-4 4.000000+6 6.993180-4800023544 1935 4.472140+6 5.988040-4 5.000000+6 5.127370-4 5.477230+6 4.540040-4800023544 1936 6.000000+6 4.019990-4 7.000000+6 3.293160-4 8.000000+6 2.782260-4800023544 1937 9.000000+6 2.405680-4 1.000000+7 2.115990-4 1.100000+7 1.888200-4800023544 1938 1.200000+7 1.702540-4 1.300000+7 1.551110-4 1.400000+7 1.423390-4800023544 1939 1.500000+7 1.314370-4 1.600000+7 1.221010-4 1.800000+7 1.068790-4800023544 1940 2.000000+7 9.500250-5 2.200000+7 8.548250-5 2.400000+7 7.767420-5800023544 1941 2.600000+7 7.118270-5 2.800000+7 6.567880-5 3.000000+7 6.096480-5800023544 1942 3.464100+7 5.228140-5 4.000000+7 4.483480-5 4.472140+7 3.986520-5800023544 1943 5.000000+7 3.544650-5 6.000000+7 2.929740-5 6.928200+7 2.524460-5800023544 1944 8.000000+7 2.175250-5 8.944271+7 1.940000-5 1.000000+8 1.730190-5800023544 1945 800023 0 1946 8.000000+4 1.988670+2 0 0 0 0800023545 1947 5.671300+2 0.000000+0 0 0 1 149800023545 1948 149 2 0 0 0 0800023545 1949 5.671300+2 0.000000+0 5.671300+2 1.909160+5 6.000000+2 2.134520+5800023545 1950 6.205760+2 2.130230+5 7.000000+2 1.899620+5 7.937250+2 1.695270+5800023545 1951 9.000000+2 1.512900+5 1.000000+3 1.354300+5 1.164220+3 1.124440+5800023545 1952 1.355400+3 9.335879+4 1.493850+3 8.100910+4 1.728500+3 6.547890+4800023545 1953 2.000000+3 5.292600+4 2.186500+3 4.560770+4 2.499370+3 3.648310+4800023545 1954 2.857000+3 2.918400+4 3.107760+3 2.497830+4 3.310170+3 2.222680+4800023545 1955 3.638780+3 1.865730+4 4.000000+3 1.566100+4 4.426730+3 1.274870+4800023545 1956 4.776390+3 1.092580+4 5.056650+3 9.731800+3 5.508170+3 8.180920+3800023545 1957 6.000000+3 6.877201+3 6.447420+3 5.874660+3 6.804750+3 5.219880+3800023545 1958 7.378210+3 4.371970+3 8.000000+3 3.661800+3 8.458970+3 3.219900+3800023545 1959 9.197270+3 2.655000+3 1.000000+4 2.189200+3 1.051990+4 1.934260+3800023545 1960 1.149560+4 1.557450+3 1.228630+4 1.323860+3 1.291480+4 1.171950+3800023545 1961 1.391840+4 9.761430+2 1.500000+4 8.130500+2 1.611850+4 6.747180+2800023545 1962 1.701190+4 5.866460+2 1.844550+4 4.756160+2 2.000000+4 3.856000+2800023545 1963 2.103980+4 3.356680+2 2.199390+4 2.973110+2 2.376880+4 2.404290+2800023545 1964 2.519330+4 2.050310+2 2.749180+4 1.614610+2 3.000000+4 1.271500+2800023545 1965 3.223710+4 1.034590+2 3.402370+4 8.863510+1 3.689100+4 7.028500+1800023545 1966 4.000000+4 5.573400+1 4.207960+4 4.792170+1 4.398770+4 4.198960+1800023545 1967 4.753750+4 3.332040+1 5.038660+4 2.801470+1 5.263490+4 2.459760+1800023545 1968 5.619690+4 2.023740+1 6.000000+4 1.665000+1 6.395620+4 1.366730+1800023545 1969 6.763120+4 1.149930+1 7.101970+4 9.886280+0 7.412360+4 8.661640+0800023545 1970 7.988540+4 6.872160+0 8.449879+4 5.777140+0 8.813290+4 5.071990+0800023545 1971 9.387910+4 4.172300+0 1.000000+5 3.432200+0 1.044270+5 2.995850+0800023545 1972 1.087560+5 2.637290+0 1.173610+5 2.076610+0 1.254480+5 1.684720+0800023545 1973 1.329790+5 1.402980+0 1.399390+5 1.195400+0 1.463280+5 1.039120+0800023545 1974 1.582170+5 8.131690-1 1.677630+5 6.765780-1 1.752990+5 5.894150-1800023545 1975 1.872430+5 4.792650-1 2.000000+5 3.897000-1 2.103980+5 3.337700-1800023545 1976 2.199390+5 2.914570-1 2.376880+5 2.299040-1 2.519330+5 1.924310-1800023545 1977 2.631750+5 1.683920-1 2.809850+5 1.378460-1 3.000000+5 1.128400-1800023545 1978 3.223710+5 9.149810-2 3.402370+5 7.818510-2 3.689100+5 6.175780-2800023545 1979 4.000000+5 4.878200-2 4.229490+5 4.178720-2 4.598630+5 3.312980-2800023545 1980 5.000000+5 2.626600-2 5.233180+5 2.328470-2 5.603490+5 1.943520-2800023545 1981 6.000000+5 1.622200-2 6.447420+5 1.357810-2 6.804750+5 1.188200-2800023545 1982 7.378210+5 9.726650-3 8.000000+5 7.962300-3 8.458970+5 7.005120-3800023545 1983 9.197270+5 5.780700-3 1.000000+6 4.770300-3 1.022000+6 4.557920-3800023545 1984 1.130270+6 3.733590-3 1.250000+6 3.058340-3 1.369310+6 2.590330-3800023545 1985 1.500000+6 2.193940-3 1.611850+6 1.934800-3 1.795470+6 1.602330-3800023545 1986 2.000000+6 1.326990-3 2.044000+6 1.279870-3 2.249780+6 1.098450-3800023545 1987 2.417610+6 9.794690-4 2.693110+6 8.247200-4 3.000000+6 6.944200-4800023545 1988 3.464100+6 5.620920-4 4.000000+6 4.549800-4 4.472140+6 3.895850-4800023545 1989 5.000000+6 3.335890-4 5.477230+6 2.953780-4 6.000000+6 2.615430-4800023545 1990 7.000000+6 2.142540-4 8.000000+6 1.810150-4 9.000000+6 1.565140-4800023545 1991 1.000000+7 1.376680-4 1.100000+7 1.228470-4 1.200000+7 1.107680-4800023545 1992 1.300000+7 1.009160-4 1.400000+7 9.260650-5 1.500000+7 8.551320-5800023545 1993 1.600000+7 7.943940-5 1.800000+7 6.953630-5 2.000000+7 6.180910-5800023545 1994 2.200000+7 5.561530-5 2.400000+7 5.053520-5 2.600000+7 4.631180-5800023545 1995 2.800000+7 4.273090-5 3.000000+7 3.966400-5 3.464100+7 3.401460-5800023545 1996 4.000000+7 2.916980-5 4.472140+7 2.593660-5 5.000000+7 2.306170-5800023545 1997 6.000000+7 1.906100-5 6.928200+7 1.642430-5 8.000000+7 1.415230-5800023545 1998 8.944271+7 1.262170-5 1.000000+8 1.125670-5 0.000000+0 0.000000+0800023545 1999 800023 0 2000 8.000000+4 1.988670+2 0 0 0 0800023546 2001 3.782100+2 0.000000+0 0 0 1 175800023546 2002 175 2 0 0 0 0800023546 2003 3.782100+2 0.000000+0 3.782100+2 1.278870+5 4.000000+2 1.114110+5800023546 2004 4.135100+2 1.090970+5 4.345510+2 1.148990+5 4.524400+2 1.312290+5800023546 2005 4.633800+2 1.456220+5 5.000000+2 1.866040+5 5.100970+2 1.953980+5800023546 2006 5.784700+2 2.222220+5 6.537240+2 2.358350+5 7.506330+2 2.346730+5800023546 2007 9.000000+2 2.117480+5 1.000000+3 1.925600+5 1.186840+3 1.596850+5800023546 2008 1.308210+3 1.410770+5 1.454670+3 1.170870+5 1.575190+3 1.018120+5800023546 2009 1.774930+3 8.255379+4 2.000000+3 6.693800+4 2.196360+3 5.533970+4800023546 2010 2.412000+3 4.575100+4 2.602870+3 3.851950+4 2.755880+3 3.385640+4800023546 2011 3.002410+3 2.789850+4 3.271000+3 2.298900+4 3.439740+3 2.031110+4800023546 2012 3.709310+3 1.686770+4 4.000000+3 1.400800+4 4.229490+3 1.210320+4800023546 2013 4.598630+3 9.720380+3 5.000000+3 7.806701+3 5.233180+3 6.884290+3800023546 2014 5.603491+3 5.700940+3 6.000000+3 4.721000+3 6.447420+3 3.830330+3800023546 2015 6.804750+3 3.274440+3 7.378210+3 2.588150+3 8.000000+3 2.045700+3800023546 2016 8.458970+3 1.724930+3 8.820401+3 1.517820+3 9.391701+3 1.252830+3800023546 2017 1.000000+4 1.034100+3 1.051460+4 8.795910+2 1.098660+4 7.634560+2800023546 2018 1.141690+4 6.744890+2 1.221100+4 5.430100+2 1.284250+4 4.615120+2800023546 2019 1.385160+4 3.616140+2 1.494000+4 2.833400+2 1.607020+4 2.211380+2800023546 2020 1.697360+4 1.836240+2 1.768430+4 1.597270+2 1.880650+4 1.295840+2800023546 2021 2.000000+4 1.051300+2 2.103980+4 8.784710+1 2.199390+4 7.507200+1800023546 2022 2.286410+4 6.542740+1 2.447070+4 5.143430+1 2.574930+4 4.294100+1800023546 2023 2.675180+4 3.750480+1 2.832940+4 3.061320+1 3.000000+4 2.498800+1800023546 2024 3.197810+4 1.974290+1 3.381560+4 1.606500+1 3.550980+4 1.341350+1800023546 2025 3.706180+4 1.145500+1 3.847530+4 9.977360+0 4.107990+4 7.835260+0800023546 2026 4.314830+4 6.536290+0 4.476780+4 5.705450+0 4.731160+4 4.652950+0800023546 2027 5.000000+4 3.794600+0 5.221370+4 3.220190+0 5.437800+4 2.760920+0800023546 2028 5.648840+4 2.390020+0 5.854120+4 2.087680+0 6.053340+4 1.839080+0800023546 2029 6.445340+4 1.449950+0 6.809110+4 1.177640+0 7.144200+4 9.816630-1800023546 2030 7.450910+4 8.371340-1 7.730070+4 7.282380-1 8.243990+4 5.706370-1800023546 2031 8.651729+4 4.752540-1 8.970720+4 4.143330-1 9.471390+4 3.372760-1800023546 2032 1.000000+5 2.745500-1 1.051990+5 2.267530-1 1.099690+5 1.918080-1800023546 2033 1.143200+5 1.656790-1 1.182690+5 1.457530-1 1.255090+5 1.164750-1800023546 2034 1.312290+5 9.844450-2 1.356890+5 8.677840-2 1.426650+5 7.181940-2800023546 2035 1.500000+5 5.943900-2 1.554920+5 5.202800-2 1.655920+5 4.121220-2800023546 2036 1.735950+5 3.460330-2 1.798500+5 3.035200-2 1.896570+5 2.493390-2800023546 2037 2.000000+5 2.048300-2 2.103980+5 1.709640-2 2.199390+5 1.459570-2800023546 2038 2.286410+5 1.270960-2 2.447070+5 9.976300-3 2.574930+5 8.319490-3800023546 2039 2.675180+5 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1.597860-1 3.319920+4 1.485790-1800027506 2965 3.362720+4 1.391550-1 3.450340+4 1.058480-1 3.477980+4 9.775100-2800027506 2966 3.501390+4 8.992390-2 3.673620+4 1.943900-2 3.706180+4 3.714230-3800027506 2967 3.711160+4 1.366350-3 3.712150+4 7.847050-4 3.759010+4-2.636940-2800027506 2968 3.783680+4-3.938470-2 3.868160+4-7.640030-2 3.975620+4-1.213320-1800027506 2969 4.013270+4-1.387730-1 4.042940+4-1.558540-1 4.449570+4-3.525870-1800027506 2970 4.545920+4-4.089250-1 4.953440+4-6.191110-1 5.171990+4-7.402980-1800027506 2971 5.489800+4-9.105390-1 5.947300+4-1.196340+0 6.194650+4-1.357620+0800027506 2972 6.577900+4-1.628940+0 7.103460+4-2.120280+0 7.207760+4-2.220200+0800027506 2973 7.601390+4-2.781740+0 7.801640+4-3.206210+0 8.016250+4-3.923490+0800027506 2974 8.095620+4-4.353350+0 8.151790+4-4.797840+0 8.183390+4-5.141060+0800027506 2975 8.205620+4-5.433690+0 8.221090+4-5.661020+0 8.231460+4-5.820320+0800027506 2976 8.243990+4-6.018210+0 8.252420+4-6.151240+0 8.267010+4-6.371400+0800027506 2977 8.283010+4-6.587950+0 8.300990+4-6.777480+0 8.336160+4-6.900120+0800027506 2978 8.371320+4-6.695240+0 8.389900+4-6.439820+0 8.425620+4-5.879340+0800027506 2979 8.459150+4-5.317080+0 8.491110+4-4.829430+0 8.543750+4-4.249840+0800027506 2980 8.644750+4-3.558580+0 8.728810+4-3.144710+0 8.879940+4-2.586600+0800027506 2981 9.106640+4-1.988520+0 9.339729+4-1.551430+0 9.601440+4-1.179340+0800027506 2982 9.869529+4-9.019590-1 1.026070+5-5.949650-1 1.044270+5-4.729180-1800027506 2983 1.110750+5-1.626150-1 1.137100+5-6.573290-2 1.146590+5-3.010980-2800027506 2984 1.187130+5 6.690470-2 1.220820+5 1.471210-1 1.257600+5 2.316680-1800027506 2985 1.283370+5 2.715830-1 1.302710+5 2.813450-1 1.372370+5 3.655580-1800027506 2986 1.435620+5 4.071240-1 1.463890+5 4.131420-1 1.539480+5 4.557440-1800027506 2987 1.563040+5 4.605650-1 1.580380+5 4.578320-1 1.676390+5 4.826090-1800027506 2988 1.714900+5 4.758460-1 1.810420+5 4.806230-1 1.846890+5 4.704630-1800027506 2989 1.960200+5 4.729070-1 2.129650+5 4.402160-1 2.314140+5 4.142570-1800027506 2990 2.563070+5 3.745270-1 2.752930+5 3.409690-1 2.950920+5 3.088470-1800027506 2991 3.075800+5 2.885690-1 3.471900+5 2.374490-1 3.651980+5 2.181260-1800027506 2992 3.880460+5 1.963170-1 4.239490+5 1.650830-1 4.517130+5 1.434980-1800027506 2993 4.934480+5 1.168150-1 5.477230+5 9.189770-2 6.028950+5 7.091970-2800027506 2994 6.556670+5 5.382350-2 6.627940+5 5.111220-2 7.215280+5 3.797140-2800027506 2995 7.287200+5 3.596160-2 7.790610+5 2.677470-2 7.891950+5 2.465900-2800027506 2996 8.077530+5 2.198880-2 8.468310+5 1.751400-2 8.534810+5 1.660070-2800027506 2997 8.629670+5 1.497100-2 8.999920+5 9.454120-3 9.581440+5 3.885310-3800027506 2998 9.820870+5 1.646070-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0800027506 2999 800027 0 3000 8000 0 0 3001 0 0 0 3002 8.100000+4 2.026150+2 -1 0 2 28100 1451 1 0.000000+0 0.000000+0 0 0 0 68100 1451 2 0.000000+0 0.000000+0 0 0 3 28100 1451 3 0.000000+0 0.000000+0 0 0 148 368100 1451 4 81-TL LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8100 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8100 1451 6 ----JEF-2 MATERIAL 8100 REVISION 0 8100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8100 1451 8 ------ENDF-6 FORMAT 8100 1451 9 ******************************************************************8100 1451 10 * JEF-2 *8100 1451 11 * DATA TAKEN FROM EPDL *8100 1451 12 ******************************************************************8100 1451 13 =================================================================8100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8100 1451 15 ENDF/B-VI FORMAT 8100 1451 16 =================================================================8100 1451 17 CONTENTS 8100 1451 18 =================================================================8100 1451 19 MF/MT DESCRIPTION 8100 1451 20 =================================================================8100 1451 21 23/501 TOTAL CROSS SECTION 8100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 52 =================================================================8100 1451 53 27/502 COHERENT SCATTERING FORM FACTORS 8100 1451 54 27/504 INCOHERENT SCATTERING FUNCTIONS 8100 1451 55 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8100 1451 56 27/506 COHERENT REAL SCATTERING FACTOR 8100 1451 57 =================================================================8100 1451 58 WARNING 8100 1451 59 =================================================================8100 1451 60 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8100 1451 61 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8100 1451 62 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8100 1451 63 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8100 1451 64 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8100 1451 65 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8100 1451 66 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8100 1451 67 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8100 1451 68 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8100 1451 69 =================================================================8100 1451 70 DEFINITION OF NEW TYPES OF DATA 8100 1451 71 =================================================================8100 1451 72 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8100 1451 73 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8100 1451 74 8100 1451 75 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8100 1451 76 C2 FIELDS ARE, 8100 1451 77 8100 1451 78 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8100 1451 79 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8100 1451 80 8100 1451 81 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8100 1451 82 8100 1451 83 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8100 1451 84 8100 1451 85 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8100 1451 86 T = THE THOMSON CROSS SECTION 8100 1451 87 MU = THE COSINE OF THE SCATTERING ANGLE 8100 1451 88 FF(M) = THE ATOMIC FORM FACTOR 8100 1451 89 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8100 1451 90 F1(E) = THE REAL SCATTERING FACTOR 8100 1451 91 F2(E) = THE IMAGINARY SCATTERING FACTOR 8100 1451 92 8100 1451 93 F1(E) AND F2(E) ARE ISOTROPIC. 8100 1451 94 8100 1451 95 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8100 1451 96 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8100 1451 97 =================================================================8100 1451 98 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8100 1451 99 =================================================================8100 1451 100 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8100 1451 101 HERE - 10 EV TO 100 MEV 8100 1451 102 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8100 1451 103 - FLUORESCENCE AND ELECTRON SPECTRA 8100 1451 104 HERE - PHOTON INTERACTION 8100 1451 105 - AVERAGE FLUORESCENCE YIELD 8100 1451 106 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8100 1451 107 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8100 1451 108 HERE - NO SECONDARY ENERGY DATA 8100 1451 109 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8100 1451 110 INTERPOLABLE - SUMMATION CROSS SECTIONS 8100 1451 111 (E.G., TOTAL) ARE NOT INCLUDED 8100 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8100 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8100 1451 114 - SCATTERING FACTORS LINEARLY INTERPOLABLE8100 1451 115 (SINCE THEY CAN BE NEGATIVE). 8100 1451 116 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8100 1451 117 ORDER TO ALLOW CROSS SECTIONS DEFINED 8100 1451 118 BY SUMMATION (E.G., TOTAL) TO BE 8100 1451 119 CONSISTENTLY DEFINED AT ALL ENERGIES. 8100 1451 120 - FORM FACTORS ARE LOG X VS. LOG Y 8100 1451 121 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8100 1451 122 - SCATTERING FACTORS LINEARLY INTERPOLABLE8100 1451 123 =================================================================8100 1451 124 REFERENCES 8100 1451 125 =================================================================8100 1451 126 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8100 1451 127 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8100 1451 128 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8100 1451 129 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8100 1451 130 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8100 1451 131 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8100 1451 132 8100 1451 133 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8100 1451 134 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8100 1451 135 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8100 1451 136 OF THE DATA, ETC. 8100 1451 137 =================================================================8100 1451 138 HISTORY 8100 1451 139 =================================================================8100 1451 140 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8100 1451 141 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8100 1451 142 CROSS SECTIONS. 8100 1451 143 =================================================================8100 1451 144 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8100 1451 145 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8100 1451 146 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8100 1451 147 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8100 1451 148 *RECONSTRUCTED MT NUMBERS 8100 1451 149 516 =+(515,515)+(517,517) 8100 1451 150 522 =+(534,572) 8100 1451 151 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8100 1451 152 1 451 188 18100 1451 153 23 501 582 18100 1451 154 23 502 142 18100 1451 155 23 504 30 18100 1451 156 23 515 30 18100 1451 157 23 516 59 18100 1451 158 23 517 42 18100 1451 159 23 522 402 28100 1451 160 23 534 30 28100 1451 161 23 535 37 28100 1451 162 23 536 41 28100 1451 163 23 537 43 28100 1451 164 23 538 42 28100 1451 165 23 539 45 28100 1451 166 23 540 47 28100 1451 167 23 541 57 28100 1451 168 23 542 59 28100 1451 169 23 543 47 28100 1451 170 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4.543150+3810023544 1951 6.000000+3 3.843400+3 6.447420+3 3.339390+3 7.181880+3 2.704550+3810023544 1952 8.000000+3 2.190400+3 8.944270+3 1.737350+3 1.000000+4 1.378000+3810023544 1953 1.106680+4 1.100430+3 1.194100+4 9.295990+2 1.264160+4 8.191180+2810023544 1954 1.377040+4 6.775200+2 1.500000+4 5.604000+2 1.611850+4 4.725950+2810023544 1955 1.701190+4 4.158930+2 1.844550+4 3.433380+2 2.000000+4 2.834400+2810023544 1956 2.103980+4 2.495970+2 2.299120+4 1.998020+2 2.457260+4 1.690910+2810023544 1957 2.582970+4 1.491970+2 2.783680+4 1.236580+2 3.000000+4 1.024900+2810023544 1958 3.197810+4 8.643550+1 3.381560+4 7.446480+1 3.550980+4 6.535860+1810023544 1959 3.868160+4 5.201980+1 4.124490+4 4.383470+1 4.327830+4 3.855270+1810023544 1960 4.651790+4 3.179870+1 5.000000+4 2.622800+1 5.221370+4 2.321250+1810023544 1961 5.663190+4 1.846150+1 6.080350+4 1.510920+1 6.470500+4 1.267930+1810023544 1962 6.832350+4 1.087600+1 7.165540+4 9.509770+0 7.788190+4 7.518760+0810023544 1963 8.290440+4 6.304180+0 8.688270+4 5.523830+0 9.321090+4 4.530620+0810023544 1964 1.000000+5 3.716000+0 1.044270+5 3.280060+0 1.132640+5 2.595780+0810023544 1965 1.216070+5 2.115220+0 1.294100+5 1.768310+0 1.366470+5 1.511770+0810023544 1966 1.433110+5 1.318020+0 1.557640+5 1.036770+0 1.658090+5 8.659770-1810023544 1967 1.737650+5 7.566120-1 1.864220+5 6.179070-1 2.000000+5 5.046300-1810023544 1968 2.103980+5 4.375680-1 2.199390+5 3.862420-1 2.376880+5 3.104790-1810023544 1969 2.519330+5 2.635800-1 2.631750+5 2.331170-1 2.809850+5 1.938940-1810023544 1970 3.000000+5 1.612700-1 3.223710+5 1.326910-1 3.402370+5 1.146330-1810023544 1971 3.689100+5 9.204690-2 4.000000+5 7.391100-2 4.229490+5 6.391660-2810023544 1972 4.598630+5 5.140100-2 5.000000+5 4.133600-2 5.477230+5 3.290900-2810023544 1973 6.000000+5 2.620000-2 6.447420+5 2.211010-2 6.804750+5 1.946740-2810023544 1974 7.378210+5 1.608360-2 8.000000+5 1.328800-2 8.458970+5 1.175170-2810023544 1975 9.197270+5 9.773730-3 1.000000+6 8.128700-3 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4.000000+7 4.957340-5 4.472140+7 4.407200-5 5.000000+7 3.918120-5810023544 1989 6.000000+7 3.239110-5 6.928200+7 2.791380-5 8.000000+7 2.405530-5810023544 1990 8.944271+7 2.145080-5 1.000000+8 1.912830-5 0.000000+0 0.000000+0810023544 1991 810023 0 1992 8.100000+4 2.026150+2 0 0 0 0810023545 1993 6.003200+2 0.000000+0 0 0 1 145810023545 1994 145 2 0 0 0 0810023545 1995 6.003200+2 0.000000+0 6.003200+2 2.031420+5 6.810300+2 1.952180+5810023545 1996 8.480600+2 1.627450+5 1.000000+3 1.377500+5 1.164220+3 1.147490+5810023545 1997 1.355400+3 9.558840+4 1.493850+3 8.304190+4 1.728500+3 6.724120+4810023545 1998 2.000000+3 5.444700+4 2.202590+3 4.636570+4 2.367880+3 4.110220+4810023545 1999 2.639380+3 3.430570+4 2.942000+3 2.863300+4 3.176850+3 2.484910+4810023545 2000 3.564750+3 2.008980+4 4.000000+3 1.624200+4 4.426730+3 1.323820+4810023545 2001 4.776390+3 1.135580+4 5.353350+3 9.022050+3 6.000000+3 7.167900+3810023545 2002 6.447420+3 6.128190+3 6.804750+3 5.448630+3 7.378210+3 4.567940+3810023545 2003 8.000000+3 3.829600+3 8.458970+3 3.369650+3 9.197270+3 2.781190+3810023545 2004 1.000000+4 2.295500+3 1.051990+4 2.029380+3 1.149560+4 1.635750+3810023545 2005 1.228630+4 1.391490+3 1.291480+4 1.232550+3 1.391840+4 1.027520+3810023545 2006 1.500000+4 8.565900+2 1.611850+4 7.114620+2 1.701190+4 6.189930+2810023545 2007 1.844550+4 5.023270+2 2.000000+4 4.076500+2 2.103980+4 3.550760+2810023545 2008 2.299120+4 2.788560+2 2.457260+4 2.326350+2 2.582970+4 2.030700+2810023545 2009 2.783680+4 1.656160+2 3.000000+4 1.350700+2 3.223710+4 1.099950+2810023545 2010 3.402370+4 9.429390+1 3.689100+4 7.484270+1 4.000000+4 5.940400+1810023545 2011 4.207960+4 5.110620+1 4.398770+4 4.480220+1 4.753750+4 3.558310+1810023545 2012 5.038660+4 2.993660+1 5.263490+4 2.629790+1 5.619690+4 2.165210+1810023545 2013 6.000000+4 1.782700+1 6.395620+4 1.464300+1 6.763120+4 1.232710+1810023545 2014 7.101970+4 1.060330+1 7.412360+4 9.293830+0 7.988540+4 7.379340+0810023545 2015 8.449879+4 6.207040+0 8.813290+4 5.451730+0 9.387910+4 4.487560+0810023545 2016 1.000000+5 3.693900+0 1.044270+5 3.225440+0 1.087560+5 2.840360+0810023545 2017 1.173610+5 2.237930+0 1.254480+5 1.816600+0 1.329790+5 1.513540+0810023545 2018 1.399390+5 1.290150+0 1.463280+5 1.121900+0 1.582170+5 8.785190-1810023545 2019 1.677630+5 7.313080-1 1.752990+5 6.373270-1 1.872430+5 5.185070-1810023545 2020 2.000000+5 4.218400-1 2.103980+5 3.614090-1 2.199390+5 3.156780-1810023545 2021 2.376880+5 2.491280-1 2.519330+5 2.085960-1 2.631750+5 1.825870-1810023545 2022 2.809850+5 1.495250-1 3.000000+5 1.224500-1 3.223710+5 9.931800-2810023545 2023 3.402370+5 8.488470-2 3.689100+5 6.707060-2 4.000000+5 5.299500-2810023545 2024 4.229490+5 4.540310-2 4.598630+5 3.600480-2 5.000000+5 2.855200-2810023545 2025 5.233180+5 2.531350-2 5.603490+5 2.113130-2 6.000000+5 1.764000-2810023545 2026 6.447420+5 1.476380-2 6.804750+5 1.291890-2 7.378210+5 1.057460-2810023545 2027 8.000000+5 8.655700-3 8.458970+5 7.614490-3 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9.645030-3 9.284950+5 6.845270-3 9.820870+5 1.692250-3810027506 3196 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0810027506 3197 810027 0 3198 8100 0 0 3199 0 0 0 3200 8.200000+4 2.054200+2 -1 0 2 28200 1451 1 0.000000+0 0.000000+0 0 0 0 68200 1451 2 0.000000+0 0.000000+0 0 0 3 28200 1451 3 0.000000+0 0.000000+0 0 0 148 368200 1451 4 82-PB LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8200 1451 6 ----JEF-2 MATERIAL 8200 REVISION 0 8200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8200 1451 8 ------ENDF-6 FORMAT 8200 1451 9 ******************************************************************8200 1451 10 * JEF-2 *8200 1451 11 * DATA TAKEN FROM EPDL *8200 1451 12 ******************************************************************8200 1451 13 =================================================================8200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8200 1451 15 ENDF/B-VI FORMAT 8200 1451 16 =================================================================8200 1451 17 CONTENTS 8200 1451 18 =================================================================8200 1451 19 MF/MT DESCRIPTION 8200 1451 20 =================================================================8200 1451 21 23/501 TOTAL CROSS SECTION 8200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 52 =================================================================8200 1451 53 27/502 COHERENT SCATTERING FORM FACTORS 8200 1451 54 27/504 INCOHERENT SCATTERING FUNCTIONS 8200 1451 55 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8200 1451 56 27/506 COHERENT REAL SCATTERING FACTOR 8200 1451 57 =================================================================8200 1451 58 WARNING 8200 1451 59 =================================================================8200 1451 60 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8200 1451 61 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8200 1451 62 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8200 1451 63 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8200 1451 64 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8200 1451 65 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8200 1451 66 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8200 1451 67 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8200 1451 68 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8200 1451 69 =================================================================8200 1451 70 DEFINITION OF NEW TYPES OF DATA 8200 1451 71 =================================================================8200 1451 72 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8200 1451 73 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8200 1451 74 8200 1451 75 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8200 1451 76 C2 FIELDS ARE, 8200 1451 77 8200 1451 78 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8200 1451 79 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8200 1451 80 8200 1451 81 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8200 1451 82 8200 1451 83 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8200 1451 84 8200 1451 85 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8200 1451 86 T = THE THOMSON CROSS SECTION 8200 1451 87 MU = THE COSINE OF THE SCATTERING ANGLE 8200 1451 88 FF(M) = THE ATOMIC FORM FACTOR 8200 1451 89 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8200 1451 90 F1(E) = THE REAL SCATTERING FACTOR 8200 1451 91 F2(E) = THE IMAGINARY SCATTERING FACTOR 8200 1451 92 8200 1451 93 F1(E) AND F2(E) ARE ISOTROPIC. 8200 1451 94 8200 1451 95 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8200 1451 96 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8200 1451 97 =================================================================8200 1451 98 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8200 1451 99 =================================================================8200 1451 100 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8200 1451 101 HERE - 10 EV TO 100 MEV 8200 1451 102 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8200 1451 103 - FLUORESCENCE AND ELECTRON SPECTRA 8200 1451 104 HERE - PHOTON INTERACTION 8200 1451 105 - AVERAGE FLUORESCENCE YIELD 8200 1451 106 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8200 1451 107 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8200 1451 108 HERE - NO SECONDARY ENERGY DATA 8200 1451 109 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8200 1451 110 INTERPOLABLE - SUMMATION CROSS SECTIONS 8200 1451 111 (E.G., TOTAL) ARE NOT INCLUDED 8200 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8200 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8200 1451 114 - SCATTERING FACTORS LINEARLY INTERPOLABLE8200 1451 115 (SINCE THEY CAN BE NEGATIVE). 8200 1451 116 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8200 1451 117 ORDER TO ALLOW CROSS SECTIONS DEFINED 8200 1451 118 BY SUMMATION (E.G., TOTAL) TO BE 8200 1451 119 CONSISTENTLY DEFINED AT ALL ENERGIES. 8200 1451 120 - FORM FACTORS ARE LOG X VS. LOG Y 8200 1451 121 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8200 1451 122 - SCATTERING FACTORS LINEARLY INTERPOLABLE8200 1451 123 =================================================================8200 1451 124 REFERENCES 8200 1451 125 =================================================================8200 1451 126 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8200 1451 127 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8200 1451 128 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8200 1451 129 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8200 1451 130 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8200 1451 131 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8200 1451 132 8200 1451 133 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8200 1451 134 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8200 1451 135 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8200 1451 136 OF THE DATA, ETC. 8200 1451 137 =================================================================8200 1451 138 HISTORY 8200 1451 139 =================================================================8200 1451 140 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8200 1451 141 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8200 1451 142 CROSS SECTIONS. 8200 1451 143 =================================================================8200 1451 144 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8200 1451 145 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8200 1451 146 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8200 1451 147 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8200 1451 148 *RECONSTRUCTED MT NUMBERS 8200 1451 149 516 =+(515,515)+(517,517) 8200 1451 150 522 =+(534,572) 8200 1451 151 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8200 1451 152 1 451 188 18200 1451 153 23 501 602 18200 1451 154 23 502 149 18200 1451 155 23 504 31 18200 1451 156 23 515 30 18200 1451 157 23 516 59 18200 1451 158 23 517 42 18200 1451 159 23 522 416 28200 1451 160 23 534 30 28200 1451 161 23 535 37 28200 1451 162 23 536 41 28200 1451 163 23 537 43 28200 1451 164 23 538 42 28200 1451 165 23 539 44 28200 1451 166 23 540 47 28200 1451 167 23 541 56 28200 1451 168 23 542 57 28200 1451 169 23 543 47 28200 1451 170 23 544 48 28200 1451 171 23 545 52 28200 1451 172 23 546 61 28200 1451 173 23 547 63 28200 1451 174 23 548 80 28200 1451 175 23 549 77 28200 1451 176 23 550 51 28200 1451 177 23 551 57 28200 1451 178 23 552 60 28200 1451 179 23 553 76 28200 1451 180 23 554 77 28200 1451 181 23 559 62 28200 1451 182 23 560 67 28200 1451 183 23 561 68 28200 1451 184 27 502 48 18200 1451 185 27 504 45 18200 1451 186 27 505 127 18200 1451 187 27 506 127 18200 1451 188 8200 1 0 189 8200 0 0 190 8.200000+4 2.054200+2 0 0 0 0820023501 191 0.000000+0 0.000000+0 0 0 1 1795820023501 192 1795 2 0 0 0 0820023501 193 1.000000+1 1.470200+7 1.065400+1 1.274840+7 1.083890+1 1.232160+7820023501 194 1.154780+1 1.068520+7 1.171620+1 1.029650+7 1.174810+1 1.024240+7820023501 195 1.288420+1 8.318600+6 1.290080+1 8.293180+6 1.321580+1 7.810830+6820023501 196 1.346150+1 7.434600+6 1.414550+1 6.504160+6 1.416660+1 6.479350+6820023501 197 1.429500+1 6.328330+6 1.448980+1 6.099220+6 1.461460+1 5.952440+6820023501 198 1.468730+1 5.878650+6 1.474970+1 5.815320+6 1.478940+1 5.775030+6820023501 199 1.483110+1 5.732710+6 1.486330+1 5.700030+6 1.488040+1 5.682670+6820023501 200 1.490390+1 5.658820+6 1.492720+1 5.635180+6 1.495600+1 5.605950+6820023501 201 1.498830+1 5.573170+6 1.499770+1 5.563630+6 1.505000+1 5.510550+6820023501 202 1.505000+1 8.561040+6 1.505100+1 8.559200+6 1.511390+1 8.443350+6820023501 203 1.517180+1 8.336720+6 1.517980+1 8.322840+6 1.522030+1 8.252580+6820023501 204 1.529520+1 8.122650+6 1.536320+1 8.004690+6 1.559460+1 7.603270+6820023501 205 1.563760+1 7.534620+6 1.570430+1 7.428150+6 1.591690+1 7.111430+6820023501 206 1.599020+1 7.002230+6 1.608720+1 6.866560+6 1.638370+1 6.494360+6820023501 207 1.672420+1 6.066920+6 1.686420+1 5.901410+6 1.688590+1 5.875750+6820023501 208 1.698700+1 5.756230+6 1.730120+1 5.424370+6 1.733730+1 5.389310+6820023501 209 1.767090+1 5.065360+6 1.769480+1 5.043390+6 1.813150+1 4.674550+6820023501 210 1.824490+1 4.578770+6 1.854300+1 4.346380+6 1.871970+1 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3.248080-2820023542 1909 2.832940+5 2.640830-2 3.000000+5 2.147100-2 3.223710+5 1.684080-2820023542 1910 3.402370+5 1.403610-2 3.542840+5 1.224350-2 3.764490+5 9.974700-3820023542 1911 4.000000+5 8.126300-3 4.229490+5 6.812910-3 4.410200+5 5.969160-3820023542 1912 4.695850+5 4.895340-3 5.000000+5 4.014700-3 5.233180+5 3.506370-3820023542 1913 5.603490+5 2.861970-3 6.000000+5 2.336000-3 6.447420+5 1.917030-3820023542 1914 6.804750+5 1.652900-3 7.378210+5 1.323350-3 8.000000+5 1.059500-3820023542 1915 8.458970+5 9.231650-4 9.197270+5 7.508380-4 1.000000+6 6.106800-4820023542 1916 1.022000+6 5.822910-4 1.130270+6 4.760110-4 1.250000+6 3.891300-4820023542 1917 1.369310+6 3.305730-4 1.500000+6 2.808280-4 1.611850+6 2.476690-4820023542 1918 1.795470+6 2.051260-4 2.000000+6 1.698900-4 2.044000+6 1.638080-4820023542 1919 2.249780+6 1.405610-4 2.417610+6 1.253180-4 2.693110+6 1.054960-4820023542 1920 3.000000+6 8.880950-5 3.464100+6 7.185500-5 4.000000+6 5.813720-5820023542 1921 4.472140+6 4.977160-5 5.000000+6 4.260970-5 5.477230+6 3.771890-5820023542 1922 6.000000+6 3.338940-5 7.000000+6 2.734710-5 8.000000+6 2.309990-5820023542 1923 9.000000+6 1.996100-5 1.000000+7 1.755790-5 1.100000+7 1.566480-5820023542 1924 1.200000+7 1.412480-5 1.300000+7 1.285940-5 1.400000+7 1.180010-5820023542 1925 1.500000+7 1.089770-5 1.600000+7 1.012280-5 1.800000+7 8.860350-6820023542 1926 2.000000+7 7.875540-6 2.200000+7 7.084950-6 2.400000+7 6.438540-6820023542 1927 2.600000+7 5.899050-6 2.800000+7 5.442940-6 3.000000+7 5.051570-6820023542 1928 3.464100+7 4.331820-6 4.000000+7 3.714620-6 4.472140+7 3.302320-6820023542 1929 5.000000+7 2.935790-6 6.000000+7 2.426710-6 6.928200+7 2.091090-6820023542 1930 8.000000+7 1.801890-6 8.944271+7 1.606380-6 1.000000+8 1.432090-6820023542 1931 820023 0 1932 8.200000+4 2.054200+2 0 0 0 0820023543 1933 8.767200+2 0.000000+0 0 0 1 131820023543 1934 131 2 0 0 0 0820023543 1935 8.767200+2 0.000000+0 8.767200+2 4.299300+4 9.110880+2 4.438030+4820023543 1936 9.483330+2 4.311670+4 1.100100+3 3.732760+4 1.276150+3 3.231580+4820023543 1937 1.402600+3 2.878110+4 1.616140+3 2.419060+4 1.862190+3 2.033230+4820023543 1938 2.111130+3 1.688510+4 2.319440+3 1.468900+4 2.671060+3 1.191860+4820023543 1939 3.076000+3 9.670701+3 3.473220+3 7.923010+3 3.804450+3 6.822830+3820023543 1940 4.073440+3 6.099160+3 4.513000+3 5.155000+3 5.000000+3 4.357000+3820023543 1941 5.623410+3 3.532810+3 6.141471+3 3.018700+3 6.561100+3 2.682840+3820023543 1942 7.244920+3 2.247800+3 8.000000+3 1.883300+3 8.511121+3 1.673640+3820023543 1943 9.485411+3 1.361320+3 1.028870+4 1.165960+3 1.093540+4 1.038070+3820023543 1944 1.198260+4 8.720490+2 1.313000+4 7.325800+2 1.458670+4 5.928570+2820023543 1945 1.578430+4 5.058490+2 1.674660+4 4.490800+2 1.830110+4 3.756460+2820023543 1946 2.000000+4 3.142200+2 2.213360+4 2.536950+2 2.388200+4 2.160830+2820023543 1947 2.528320+4 1.915810+2 2.754080+4 1.599370+2 3.000000+4 1.335200+2820023543 1948 3.197810+4 1.158520+2 3.381560+4 1.023210+2 3.728900+4 8.233350+1820023543 1949 4.012620+4 6.994940+1 4.239490+4 6.189990+1 4.604070+4 5.152860+1820023543 1950 5.000000+4 4.289500+1 5.373460+4 3.620520+1 5.723050+4 3.121330+1820023543 1951 6.047560+4 2.741340+1 6.660330+4 2.184250+1 7.160320+4 1.842080+1820023543 1952 7.559800+4 1.621110+1 8.201190+4 1.338340+1 8.897000+4 1.104900+1820023543 1953 9.359020+4 9.746240+0 1.029090+5 7.703290+0 1.118220+5 6.270260+0820023543 1954 1.202510+5 5.236840+0 1.281470+5 4.473310+0 1.354790+5 3.897130+0820023543 1955 1.422390+5 3.454180+0 1.548890+5 2.796700+0 1.651100+5 2.387110+0820023543 1956 1.817190+5 1.882400+0 2.000000+5 1.484400+0 2.181020+5 1.198290+0820023543 1957 2.352790+5 9.935620-1 2.514160+5 8.433340-1 2.664410+5 7.306400-1820023543 1958 2.803230+5 6.444580-1 3.063790+5 5.173730-1 3.274990+5 4.387940-1820023543 1959 3.442880+5 3.877960-1 3.711000+5 3.221940-1 4.000000+5 2.676900-1820023543 1960 4.426730+5 2.115030-1 4.776390+5 1.772470-1 5.056650+5 1.552480-1820023543 1961 5.508170+5 1.272610-1 6.000000+5 1.043200-1 6.447420+5 8.918830-2820023543 1962 6.804750+5 7.929810-2 7.378210+5 6.648070-2 8.000000+5 5.573500-2820023543 1963 8.944270+5 4.428040-2 1.000000+6 3.518000-2 1.022000+6 3.369050-2820023543 1964 1.130270+6 2.767650-2 1.250000+6 2.273600-2 1.369310+6 1.917870-2820023543 1965 1.500000+6 1.617790-2 1.611850+6 1.426770-2 1.795470+6 1.181680-2820023543 1966 2.000000+6 9.786990-3 2.044000+6 9.436640-3 2.249780+6 8.097450-3820023543 1967 2.417610+6 7.219330-3 2.693110+6 6.077420-3 3.000000+6 5.116130-3820023543 1968 3.464100+6 4.139410-3 4.000000+6 3.349160-3 4.472140+6 2.867240-3820023543 1969 5.000000+6 2.454660-3 5.477230+6 2.172900-3 6.000000+6 1.923490-3820023543 1970 7.000000+6 1.575410-3 8.000000+6 1.330740-3 9.000000+6 1.149910-3820023543 1971 1.000000+7 1.011470-3 1.100000+7 9.024140-4 1.200000+7 8.136990-4820023543 1972 1.300000+7 7.408050-4 1.400000+7 6.797770-4 1.500000+7 6.277910-4820023543 1973 1.600000+7 5.831510-4 1.800000+7 5.104260-4 2.000000+7 4.536930-4820023543 1974 2.200000+7 4.081490-4 2.400000+7 3.709110-4 2.600000+7 3.398320-4820023543 1975 2.800000+7 3.135560-4 3.000000+7 2.910100-4 3.464100+7 2.495470-4820023543 1976 4.000000+7 2.139910-4 4.472140+7 1.902400-4 5.000000+7 1.691250-4820023543 1977 6.000000+7 1.397980-4 6.928200+7 1.204630-4 8.000000+7 1.038030-4820023543 1978 8.944271+7 9.254050-5 1.000000+8 8.250000-5 0.000000+0 0.000000+0820023543 1979 820023 0 1980 8.200000+4 2.054200+2 0 0 0 0820023544 1981 7.560200+2 0.000000+0 0 0 1 134820023544 1982 134 2 0 0 0 0820023544 1983 7.560200+2 0.000000+0 7.560200+2 3.791950+4 1.000000+3 3.646100+4820023544 1984 1.165380+3 3.431720+4 1.500000+3 2.866800+4 1.732050+3 2.478850+4820023544 1985 2.000000+3 2.143400+4 2.286040+3 1.812210+4 2.613000+3 1.532200+4820023544 1986 2.826010+3 1.366020+4 3.178520+3 1.149930+4 3.575000+3 9.680201+3820023544 1987 3.887760+3 8.415941+3 4.408950+3 6.822280+3 5.000000+3 5.530400+3820023544 1988 5.477230+3 4.687930+3 6.000000+3 3.973800+3 6.447420+3 3.457670+3820023544 1989 7.181880+3 2.806400+3 8.000000+3 2.277800+3 8.944270+3 1.810390+3820023544 1990 1.000000+4 1.438900+3 1.111080+4 1.140910+3 1.202420+4 9.586650+2820023544 1991 1.275820+4 8.413540+2 1.394400+4 6.917450+2 1.524000+4 5.687400+2820023544 1992 1.631160+4 4.845710+2 1.716440+4 4.297240+2 1.852810+4 3.588710+2820023544 1993 2.000000+4 2.997000+2 2.103980+4 2.641460+2 2.299120+4 2.117720+2820023544 1994 2.457260+4 1.794270+2 2.582970+4 1.584540+2 2.783680+4 1.314990+2820023544 1995 3.000000+4 1.091300+2 3.223710+4 9.040990+1 3.402370+4 7.850900+1820023544 1996 3.689100+4 6.352950+1 4.000000+4 5.140800+1 4.207960+4 4.478440+1820023544 1997 4.598240+4 3.518000+1 4.914520+4 2.935430+1 5.165930+4 2.562740+1820023544 1998 5.567370+4 2.090510+1 6.000000+4 1.705300+1 6.395620+4 1.424020+1820023544 1999 6.763120+4 1.216230+1 7.101970+4 1.059450+1 7.736310+4 8.321270+0820023544 2000 8.248979+4 6.942600+0 8.655660+4 6.060690+0 9.303579+4 4.943350+0820023544 2001 1.000000+5 4.032000+0 1.044270+5 3.560950+0 1.132640+5 2.820980+0820023544 2002 1.216070+5 2.300800+0 1.294100+5 1.924970+0 1.366470+5 1.646840+0820023544 2003 1.433110+5 1.436640+0 1.557640+5 1.131280+0 1.658090+5 9.456670-1820023544 2004 1.737650+5 8.267290-1 1.864220+5 6.757720-1 2.000000+5 5.523800-1820023544 2005 2.103980+5 4.792200-1 2.199390+5 4.231980-1 2.376880+5 3.404560-1820023544 2006 2.519330+5 2.892000-1 2.631750+5 2.558890-1 2.809850+5 2.129760-1820023544 2007 3.000000+5 1.772600-1 3.223710+5 1.459350-1 3.402370+5 1.261300-1820023544 2008 3.689100+5 1.013470-1 4.000000+5 8.143300-2 4.229490+5 7.045020-2820023544 2009 4.598630+5 5.668970-2 5.000000+5 4.561700-2 5.477230+5 3.633960-2820023544 2010 6.000000+5 2.894900-2 6.447420+5 2.443900-2 6.804750+5 2.152390-2820023544 2011 7.378210+5 1.779010-2 8.000000+5 1.470400-2 8.458970+5 1.300650-2820023544 2012 9.197270+5 1.082060-2 1.000000+6 9.002000-3 1.022000+6 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1.257480+4-1.680880+1 1.271180+4-1.818190+1820027506 3183 1.279080+4-1.940290+1 1.283710+4-2.035100+1 1.287760+4-2.131280+1820027506 3184 1.291030+4-2.213520+1 1.293320+4-2.268320+1 1.295820+4-2.322370+1820027506 3185 1.298630+4-2.370200+1 1.304610+4-2.396450+1 1.308860+4-2.364340+1820027506 3186 1.313600+4-2.272880+1 1.318370+4-2.152320+1 1.323890+4-2.016460+1820027506 3187 1.329370+4-1.895700+1 1.334900+4-1.801940+1 1.345530+4-1.682220+1820027506 3188 1.363920+4-1.544960+1 1.390860+4-1.415920+1 1.425290+4-1.334560+1820027506 3189 1.458670+4-1.317160+1 1.479850+4-1.335700+1 1.494550+4-1.384910+1820027506 3190 1.506100+4-1.466880+1 1.512600+4-1.522070+1 1.520070+4-1.566300+1820027506 3191 1.526830+4-1.569970+1 1.533840+4-1.536730+1 1.542900+4-1.462680+1820027506 3192 1.555820+4-1.373210+1 1.566770+4-1.349130+1 1.578180+4-1.341220+1820027506 3193 1.587530+4-1.298860+1 1.597000+4-1.221460+1 1.609910+4-1.100160+1820027506 3194 1.616790+4-1.041610+1 1.629610+4-9.544370+0 1.653650+4-8.385900+0820027506 3195 1.689410+4-7.193050+0 1.725430+4-6.275650+0 1.762220+4-5.485950+0820027506 3196 1.824490+4-4.510590+0 1.891680+4-3.757710+0 1.953940+4-3.150690+0820027506 3197 2.001550+4-2.770850+0 2.096380+4-1.990890+0 2.204450+4-1.348210+0820027506 3198 2.256430+4-1.063640+0 2.277780+4-9.746950-1 2.338670+4-7.520250-1820027506 3199 2.383700+4-6.066090-1 2.405490+4-5.532750-1 2.463860+4-4.022350-1820027506 3200 2.528320+4-2.518110-1 2.585440+4-1.306120-1 2.596960+4-1.097800-1820027506 3201 2.629960+4-6.316860-2 2.640460+4-5.340940-2 2.668420+4-3.445380-2820027506 3202 2.686310+4-1.735200-2 2.709230+4 4.776300-3 2.713780+4 9.028550-3820027506 3203 2.742870+4 3.730990-2 2.764810+4 5.752540-2 2.792410+4 8.535330-2820027506 3204 2.814500+4 1.001660-1 2.917580+4 1.556730-1 2.969640+4 1.742970-1820027506 3205 3.065690+4 1.867430-1 3.132850+4 1.927900-1 3.197810+4 2.020840-1820027506 3206 3.245200+4 2.006790-1 3.276330+4 1.968210-1 3.404740+4 1.660410-1820027506 3207 3.473360+4 1.542250-1 3.542840+4 1.380610-1 3.640590+4 1.103700-1820027506 3208 3.708740+4 7.996110-2 3.728900+4 7.027430-2 3.762770+4 5.826010-2820027506 3209 3.870130+4 1.814440-2 3.919900+4 6.302830-4 3.971290+4-1.853330-2820027506 3210 4.015410+4-3.431290-2 4.078460+4-6.108550-2 4.087050+4-6.500730-2820027506 3211 4.141260+4-9.665940-2 4.207960+4-1.271200-1 4.512210+4-2.585930-1820027506 3212 4.718370+4-3.578920-1 4.922200+4-4.465640-1 5.038660+4-5.090790-1820027506 3213 5.386700+4-6.852970-1 5.806730+4-8.981950-1 6.346550+4-1.217290+0820027506 3214 6.506560+4-1.312960+0 7.000730+4-1.646900+0 7.627400+4-2.192840+0820027506 3215 8.051620+4-2.758670+0 8.270500+4-3.201070+0 8.491050+4-3.892980+0820027506 3216 8.575120+4-4.320480+0 8.634620+4-4.761480+0 8.668090+4-5.101880+0820027506 3217 8.691640+4-5.392070+0 8.708020+4-5.617470+0 8.719010+4-5.775400+0820027506 3218 8.729110+4-5.924820+0 8.741210+4-6.103490+0 8.756660+4-6.321740+0820027506 3219 8.773610+4-6.536350+0 8.792650+4-6.723810+0 8.830710+4-6.844720+0820027506 3220 8.868770+4-6.628540+0 8.888879+4-6.362890+0 8.927540+4-5.790180+0820027506 3221 8.963820+4-5.224930+0 8.998410+4-4.742370+0 9.045179+4-4.254350+0820027506 3222 9.132879+4-3.653910+0 9.286350+4-2.955440+0 9.401460+4-2.572720+0820027506 3223 9.574120+4-2.124860+0 9.746779+4-1.783540+0 9.971290+4-1.435970+0820027506 3224 1.021900+5-1.149430+0 1.065700+5-7.498260-1 1.087560+5-5.879550-1820027506 3225 1.109170+5-4.693710-1 1.179330+5-1.567320-1 1.216070+5-5.881410-2820027506 3226 1.255090+5 4.904410-2 1.267640+5 8.394060-2 1.300110+5 1.623490-1820027506 3227 1.316340+5 1.940410-1 1.383380+5 2.607560-1 1.400080+5 2.723850-1820027506 3228 1.465310+5 3.443260-1 1.494080+5 3.689220-1 1.513280+5 3.773460-1820027506 3229 1.521650+5 3.740090-1 1.547980+5 3.836260-1 1.633650+5 4.325080-1820027506 3230 1.664920+5 4.379670-1 1.678410+5 4.334810-1 1.768730+5 4.469160-1820027506 3231 1.799820+5 4.418820-1 1.911090+5 4.489250-1 1.947600+5 4.399360-1820027506 3232 2.054280+5 4.352880-1 2.088550+5 4.239390-1 2.151150+5 4.195990-1820027506 3233 2.242480+5 4.202730-1 2.298310+5 4.160460-1 2.343050+5 4.009070-1820027506 3234 2.574930+5 3.732380-1 2.679090+5 3.556190-1 2.930620+5 3.209360-1820027506 3235 3.109840+5 2.939580-1 3.390920+5 2.568900-1 3.480560+5 2.428270-1820027506 3236 3.841410+5 2.048340-1 4.248550+5 1.708280-1 4.500110+5 1.512700-1820027506 3237 4.869200+5 1.271790-1 5.075510+5 1.113580-1 5.650650+5 8.758630-2820027506 3238 5.882300+5 7.738740-2 6.486440+5 5.845780-2 6.804750+5 4.965000-2820027506 3239 7.181880+5 3.990430-2 7.254480+5 3.728590-2 7.337410+5 3.515960-2820027506 3240 8.047410+5 2.324910-2 8.128560+5 2.140370-2 8.270580+5 1.921480-2820027506 3241 8.590110+5 1.502740-2 8.696620+5 1.313420-2 8.944270+5 1.057130-2820027506 3242 9.493730+5 5.194340-3 9.788390+5 2.446510-3 1.000000+6 0.000000+0820027506 3243 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0820027506 3244 820027 0 3245 8200 0 0 3246 0 0 0 3247 8.300000+4 2.071850+2 -1 0 2 28300 1451 1 0.000000+0 0.000000+0 0 0 0 68300 1451 2 0.000000+0 0.000000+0 0 0 3 28300 1451 3 0.000000+0 0.000000+0 0 0 148 368300 1451 4 83-BI LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8300 1451 6 ----JEF-2 MATERIAL 8300 REVISION 0 8300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8300 1451 8 ------ENDF-6 FORMAT 8300 1451 9 ******************************************************************8300 1451 10 * JEF-2 *8300 1451 11 * DATA TAKEN FROM EPDL *8300 1451 12 ******************************************************************8300 1451 13 =================================================================8300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8300 1451 15 ENDF/B-VI FORMAT 8300 1451 16 =================================================================8300 1451 17 CONTENTS 8300 1451 18 =================================================================8300 1451 19 MF/MT DESCRIPTION 8300 1451 20 =================================================================8300 1451 21 23/501 TOTAL CROSS SECTION 8300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 52 =================================================================8300 1451 53 27/502 COHERENT SCATTERING FORM FACTORS 8300 1451 54 27/504 INCOHERENT SCATTERING FUNCTIONS 8300 1451 55 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8300 1451 56 27/506 COHERENT REAL SCATTERING FACTOR 8300 1451 57 =================================================================8300 1451 58 WARNING 8300 1451 59 =================================================================8300 1451 60 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8300 1451 61 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8300 1451 62 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8300 1451 63 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8300 1451 64 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8300 1451 65 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8300 1451 66 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8300 1451 67 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8300 1451 68 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8300 1451 69 =================================================================8300 1451 70 DEFINITION OF NEW TYPES OF DATA 8300 1451 71 =================================================================8300 1451 72 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8300 1451 73 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8300 1451 74 8300 1451 75 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8300 1451 76 C2 FIELDS ARE, 8300 1451 77 8300 1451 78 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8300 1451 79 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8300 1451 80 8300 1451 81 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8300 1451 82 8300 1451 83 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8300 1451 84 8300 1451 85 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8300 1451 86 T = THE THOMSON CROSS SECTION 8300 1451 87 MU = THE COSINE OF THE SCATTERING ANGLE 8300 1451 88 FF(M) = THE ATOMIC FORM FACTOR 8300 1451 89 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8300 1451 90 F1(E) = THE REAL SCATTERING FACTOR 8300 1451 91 F2(E) = THE IMAGINARY SCATTERING FACTOR 8300 1451 92 8300 1451 93 F1(E) AND F2(E) ARE ISOTROPIC. 8300 1451 94 8300 1451 95 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8300 1451 96 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8300 1451 97 =================================================================8300 1451 98 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8300 1451 99 =================================================================8300 1451 100 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8300 1451 101 HERE - 10 EV TO 100 MEV 8300 1451 102 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8300 1451 103 - FLUORESCENCE AND ELECTRON SPECTRA 8300 1451 104 HERE - PHOTON INTERACTION 8300 1451 105 - AVERAGE FLUORESCENCE YIELD 8300 1451 106 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8300 1451 107 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8300 1451 108 HERE - NO SECONDARY ENERGY DATA 8300 1451 109 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8300 1451 110 INTERPOLABLE - SUMMATION CROSS SECTIONS 8300 1451 111 (E.G., TOTAL) ARE NOT INCLUDED 8300 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8300 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8300 1451 114 - SCATTERING FACTORS LINEARLY INTERPOLABLE8300 1451 115 (SINCE THEY CAN BE NEGATIVE). 8300 1451 116 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8300 1451 117 ORDER TO ALLOW CROSS SECTIONS DEFINED 8300 1451 118 BY SUMMATION (E.G., TOTAL) TO BE 8300 1451 119 CONSISTENTLY DEFINED AT ALL ENERGIES. 8300 1451 120 - FORM FACTORS ARE LOG X VS. LOG Y 8300 1451 121 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8300 1451 122 - SCATTERING FACTORS LINEARLY INTERPOLABLE8300 1451 123 =================================================================8300 1451 124 REFERENCES 8300 1451 125 =================================================================8300 1451 126 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8300 1451 127 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8300 1451 128 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8300 1451 129 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8300 1451 130 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8300 1451 131 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8300 1451 132 8300 1451 133 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8300 1451 134 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8300 1451 135 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8300 1451 136 OF THE DATA, ETC. 8300 1451 137 =================================================================8300 1451 138 HISTORY 8300 1451 139 =================================================================8300 1451 140 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8300 1451 141 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8300 1451 142 CROSS SECTIONS. 8300 1451 143 =================================================================8300 1451 144 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8300 1451 145 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8300 1451 146 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8300 1451 147 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8300 1451 148 *RECONSTRUCTED MT NUMBERS 8300 1451 149 516 =+(515,515)+(517,517) 8300 1451 150 522 =+(534,572) 8300 1451 151 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8300 1451 152 1 451 188 18300 1451 153 23 501 595 18300 1451 154 23 502 149 18300 1451 155 23 504 31 18300 1451 156 23 515 30 18300 1451 157 23 516 59 18300 1451 158 23 517 42 18300 1451 159 23 522 411 28300 1451 160 23 534 30 28300 1451 161 23 535 37 28300 1451 162 23 536 40 28300 1451 163 23 537 42 28300 1451 164 23 538 43 28300 1451 165 23 539 45 28300 1451 166 23 540 47 28300 1451 167 23 541 56 28300 1451 168 23 542 57 28300 1451 169 23 543 46 28300 1451 170 23 544 49 28300 1451 171 23 545 51 28300 1451 172 23 546 61 28300 1451 173 23 547 62 28300 1451 174 23 548 78 28300 1451 175 23 549 77 28300 1451 176 23 550 52 28300 1451 177 23 551 57 28300 1451 178 23 552 59 28300 1451 179 23 553 78 28300 1451 180 23 554 77 28300 1451 181 23 559 60 28300 1451 182 23 560 67 28300 1451 183 23 561 69 28300 1451 184 27 502 49 18300 1451 185 27 504 47 18300 1451 186 27 505 131 18300 1451 187 27 506 131 18300 1451 188 8300 1 0 189 8300 0 0 190 8.300000+4 2.071850+2 0 0 0 0830023501 191 0.000000+0 0.000000+0 0 0 1 1775830023501 192 1775 2 0 0 0 0830023501 193 1.000000+1 3.295350+7 1.051990+1 2.931880+7 1.079680+1 2.764950+7830023501 194 1.106680+1 2.602180+7 1.149560+1 2.374840+7 1.154780+1 2.351460+7830023501 195 1.165710+1 2.302510+7 1.224740+1 2.038140+7 1.228630+1 2.022130+7830023501 196 1.286400+1 1.812110+7 1.290070+1 1.798760+7 1.291480+1 1.793640+7830023501 197 1.355400+1 1.587290+7 1.391840+1 1.486800+7 1.403670+1 1.458670+7830023501 198 1.450120+1 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1.064350+2830023543 1936 3.728900+4 8.570720+1 4.012620+4 7.285660+1 4.239490+4 6.449960+1830023543 1937 4.604070+4 5.372660+1 5.000000+4 4.475300+1 5.392620+4 3.747250+1830023543 1938 5.761380+4 3.208060+1 6.104670+4 2.800300+1 6.421780+4 2.486270+1830023543 1939 7.016890+4 2.019050+1 7.499129+4 1.727220+1 8.285350+4 1.366620+1830023543 1940 9.154000+4 1.081300+1 9.612240+4 9.583140+0 1.053420+5 7.641620+0830023543 1941 1.141310+5 6.268360+0 1.224210+5 5.270790+0 1.301680+5 4.529050+0830023543 1942 1.373470+5 3.966180+0 1.508770+5 3.144220+0 1.618920+5 2.641600+0830023543 1943 1.706770+5 2.318100+0 1.847580+5 1.905600+0 2.000000+5 1.566500+0830023543 1944 2.181020+5 1.265430+0 2.352790+5 1.049860+0 2.514160+5 8.915810-1830023543 1945 2.664410+5 7.727930-1 2.803230+5 6.819110-1 3.063790+5 5.478230-1830023543 1946 3.274990+5 4.648630-1 3.442880+5 4.109970-1 3.711000+5 3.416720-1830023543 1947 4.000000+5 2.840400-1 4.426730+5 2.245570-1 4.776390+5 1.882720-1830023543 1948 5.056650+5 1.649610-1 5.508170+5 1.352930-1 6.000000+5 1.109600-1830023543 1949 6.447420+5 9.489130-2 6.804750+5 8.438620-2 7.378210+5 7.076830-2830023543 1950 8.000000+5 5.934800-2 8.944270+5 4.716380-2 1.000000+6 3.748100-2830023543 1951 1.022000+6 3.589450-2 1.130270+6 2.948790-2 1.250000+6 2.422470-2830023543 1952 1.369310+6 2.043600-2 1.500000+6 1.723980-2 1.611850+6 1.520210-2830023543 1953 1.795470+6 1.258810-2 2.000000+6 1.042360-2 2.044000+6 1.004750-2830023543 1954 2.249780+6 8.621800-3 2.417610+6 7.686930-3 2.693110+6 6.471210-3830023543 1955 3.000000+6 5.447760-3 3.464100+6 4.407170-3 4.000000+6 3.565350-3830023543 1956 4.472140+6 3.051940-3 5.000000+6 2.612460-3 5.477230+6 2.312250-3830023543 1957 6.000000+6 2.046540-3 7.000000+6 1.675530-3 8.000000+6 1.415080-3830023543 1958 9.000000+6 1.223020-3 1.000000+7 1.075990-3 1.100000+7 9.591570-4830023543 1959 1.200000+7 8.651220-4 1.300000+7 7.876140-4 1.400000+7 7.226450-4830023543 1960 1.500000+7 6.673640-4 1.600000+7 6.200610-4 1.800000+7 5.426100-4830023543 1961 2.000000+7 4.822570-4 2.200000+7 4.338720-4 2.400000+7 3.942060-4830023543 1962 2.600000+7 3.612080-4 2.800000+7 3.332260-4 3.000000+7 3.092900-4830023543 1963 3.464100+7 2.651990-4 4.000000+7 2.273940-4 4.472140+7 2.021730-4830023543 1964 5.000000+7 1.797490-4 6.000000+7 1.485750-4 6.928200+7 1.280020-4830023543 1965 8.000000+7 1.102770-4 8.944271+7 9.834780-5 1.000000+8 8.770900-5830023543 1966 830023 0 1967 8.300000+4 2.071850+2 0 0 0 0830023544 1968 7.994300+2 0.000000+0 0 0 1 136830023544 1969 136 2 0 0 0 0830023544 1970 7.994300+2 0.000000+0 7.994300+2 2.866930+4 8.137800+2 3.595140+4830023544 1971 8.202680+2 3.678680+4 1.000000+3 3.534000+4 1.224740+3 3.262820+4830023544 1972 1.500000+3 2.842800+4 1.732050+3 2.472880+4 2.000000+3 2.151100+4830023544 1973 2.331090+3 1.778960+4 2.717000+3 1.471200+4 2.938830+3 1.311350+4830023544 1974 3.305980+3 1.103550+4 3.719000+3 9.286701+3 4.004630+3 8.215390+3830023544 1975 4.474720+3 6.835630+3 5.000000+3 5.687600+3 5.477230+3 4.830580+3830023544 1976 6.000000+3 4.102700+3 6.447420+3 3.575060+3 7.181880+3 2.908060+3830023544 1977 8.000000+3 2.365500+3 8.944270+3 1.884240+3 1.000000+4 1.500900+3830023544 1978 1.106680+4 1.202980+3 1.194100+4 1.019030+3 1.264160+4 8.997790+2830023544 1979 1.377040+4 7.465470+2 1.500000+4 6.194100+2 1.611850+4 5.237020+2830023544 1980 1.701190+4 4.617570+2 1.844550+4 3.823030+2 2.000000+4 3.165200+2830023544 1981 2.103980+4 2.792160+2 2.299120+4 2.242000+2 2.457260+4 1.901760+2830023544 1982 2.582970+4 1.680920+2 2.783680+4 1.396800+2 3.000000+4 1.160700+2830023544 1983 3.223710+4 9.627430+1 3.402370+4 8.367640+1 3.689100+4 6.780190+1830023544 1984 4.000000+4 5.493900+1 4.207960+4 4.789900+1 4.598240+4 3.767960+1830023544 1985 4.914520+4 3.147320+1 5.165930+4 2.749910+1 5.567370+4 2.245860+1830023544 1986 6.000000+4 1.834200+1 6.395620+4 1.533120+1 6.763120+4 1.310500+1830023544 1987 7.101970+4 1.142390+1 7.736310+4 8.984210+0 8.248979+4 7.502880+0830023544 1988 8.655660+4 6.554490+0 9.303579+4 5.351860+0 1.000000+5 4.369900+0830023544 1989 1.044270+5 3.861480+0 1.132640+5 3.062190+0 1.216070+5 2.499770+0830023544 1990 1.294100+5 2.093080+0 1.366470+5 1.791880+0 1.433110+5 1.564110+0830023544 1991 1.557640+5 1.232950+0 1.658090+5 1.031460+0 1.737650+5 9.022680-1830023544 1992 1.864220+5 7.381720-1 2.000000+5 6.039200-1 2.103980+5 5.241060-1830023544 1993 2.199390+5 4.629710-1 2.376880+5 3.726390-1 2.519330+5 3.166580-1830023544 1994 2.631750+5 2.802640-1 2.809850+5 2.333620-1 3.000000+5 1.943100-1830023544 1995 3.223710+5 1.601300-1 3.402370+5 1.385030-1 3.689100+5 1.114120-1830023544 1996 4.000000+5 8.962100-2 4.229490+5 7.756600-2 4.598630+5 6.245450-2830023544 1997 5.000000+5 5.028700-2 5.477230+5 4.008450-2 6.000000+5 3.195200-2830023544 1998 6.447420+5 2.697740-2 6.804750+5 2.376160-2 7.378210+5 1.964220-2830023544 1999 8.000000+5 1.623700-2 8.458970+5 1.436910-2 9.197270+5 1.196230-2830023544 2000 1.000000+6 9.958600-3 1.022000+6 9.522070-3 1.130270+6 7.810260-3830023544 2001 1.250000+6 6.406190-3 1.369310+6 5.417000-3 1.500000+6 4.580550-3830023544 2002 1.611850+6 4.039150-3 1.795470+6 3.344630-3 2.000000+6 2.769530-3830023544 2003 2.044000+6 2.669590-3 2.249780+6 2.290790-3 2.417610+6 2.042400-3830023544 2004 2.693110+6 1.719390-3 3.000000+6 1.447460-3 3.464100+6 1.170980-3830023544 2005 4.000000+6 9.473040-4 4.472140+6 8.108920-4 5.000000+6 6.941240-4830023544 2006 5.477230+6 6.143590-4 6.000000+6 5.437610-4 7.000000+6 4.451850-4830023544 2007 8.000000+6 3.759840-4 9.000000+6 3.249540-4 1.000000+7 2.858870-4830023544 2008 1.100000+7 2.548450-4 1.200000+7 2.298610-4 1.300000+7 2.092670-4830023544 2009 1.400000+7 1.920050-4 1.500000+7 1.773170-4 1.600000+7 1.647490-4830023544 2010 1.800000+7 1.441700-4 2.000000+7 1.281340-4 2.200000+7 1.152790-4830023544 2011 2.400000+7 1.047390-4 2.600000+7 9.597210-5 2.800000+7 8.853720-5830023544 2012 3.000000+7 8.217740-5 3.464100+7 7.046270-5 4.000000+7 6.041790-5830023544 2013 4.472140+7 5.371680-5 5.000000+7 4.775890-5 6.000000+7 3.947610-5830023544 2014 6.928200+7 3.400980-5 8.000000+7 2.930040-5 8.944271+7 2.613080-5830023544 2015 1.000000+8 2.330400-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0830023544 2016 830023 0 2017 8.300000+4 2.071850+2 0 0 0 0830023545 2018 6.691600+2 0.000000+0 0 0 1 143830023545 2019 143 2 0 0 0 0830023545 2020 6.691600+2 0.000000+0 6.691600+2 2.034740+5 7.000000+2 1.932150+5830023545 2021 8.154200+2 1.737650+5 1.000000+3 1.427900+5 1.164220+3 1.193750+5830023545 2022 1.355400+3 9.979990+4 1.493850+3 8.695010+4 1.728500+3 7.070990+4830023545 2023 2.000000+3 5.750300+4 2.159210+3 5.078750+4 2.422100+3 4.215570+4830023545 2024 2.717000+3 3.499100+4 2.993770+3 2.938150+4 3.219690+3 2.577280+4830023545 2025 3.590940+3 2.117350+4 4.005000+3 1.739500+4 4.430880+3 1.422010+4830023545 2026 4.779750+3 1.222530+4 5.355230+3 9.745300+3 6.000000+3 7.768400+3830023545 2027 6.447420+3 6.652830+3 7.181880+3 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9.612240+4-2.767620+0 9.821210+4-2.194420+0 1.000000+5-1.827920+0830027506 3221 1.022680+5-1.455610+0 1.047010+5-1.172080+0 1.090990+5-7.837870-1830027506 3222 1.112980+5-6.226150-1 1.134970+5-5.016150-1 1.197440+5-2.195260-1830027506 3223 1.223840+5-1.437500-1 1.272940+5 1.104130-3 1.275010+5 7.225670-3830027506 3224 1.299540+5 6.624770-2 1.317570+5 1.110220-1 1.412180+5 2.475190-1830027506 3225 1.421950+5 2.588860-1 1.452340+5 2.767830-1 1.520500+5 3.422400-1830027506 3226 1.545460+5 3.601650-1 1.557640+5 3.612200-1 1.563620+5 3.599460-1830027506 3227 1.583810+5 3.666770-1 1.662260+5 4.096560-1 1.695460+5 4.191490-1830027506 3228 1.723530+5 4.144130-1 1.831610+5 4.412260-1 1.861450+5 4.396880-1830027506 3229 1.873150+5 4.353410-1 1.988110+5 4.348320-1 2.015540+5 4.257460-1830027506 3230 2.088550+5 4.254750-1 2.151150+5 4.276550-1 2.199390+5 4.244880-1830027506 3231 2.326710+5 4.035930-1 2.457200+5 3.859300-1 2.677590+5 3.575230-1830027506 3232 2.930620+5 3.237550-1 3.142150+5 2.926430-1 3.354710+5 2.659350-1830027506 3233 3.480200+5 2.458000-1 3.841410+5 2.076970-1 4.248550+5 1.736260-1830027506 3234 4.550780+5 1.501730-1 4.914520+5 1.260830-1 5.277580+5 1.041750-1830027506 3235 5.798350+5 8.297950-2 6.331050+5 6.384400-2 6.804750+5 4.866350-2830027506 3236 6.859390+5 4.625750-2 6.961840+5 4.329900-2 7.444840+5 3.421300-2830027506 3237 7.682820+5 3.012190-2 8.052980+5 2.250420-2 8.556790+5 1.554020-2830027506 3238 8.973840+5 1.052350-2 9.493730+5 5.045050-3 9.810380+5 1.861830-3830027506 3239 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0830027506 3240 830027 0 3241 8300 0 0 3242 0 0 0 3243 8.400000+4 2.072050+2 -1 0 2 28400 1451 1 0.000000+0 0.000000+0 0 0 0 68400 1451 2 0.000000+0 0.000000+0 0 0 3 28400 1451 3 0.000000+0 0.000000+0 0 0 148 368400 1451 4 84-PO LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8400 1451 6 ----JEF-2 MATERIAL 8400 REVISION 0 8400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8400 1451 8 ------ENDF-6 FORMAT 8400 1451 9 ******************************************************************8400 1451 10 * JEF-2 *8400 1451 11 * DATA TAKEN FROM EPDL *8400 1451 12 ******************************************************************8400 1451 13 =================================================================8400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8400 1451 15 ENDF/B-VI FORMAT 8400 1451 16 =================================================================8400 1451 17 CONTENTS 8400 1451 18 =================================================================8400 1451 19 MF/MT DESCRIPTION 8400 1451 20 =================================================================8400 1451 21 23/501 TOTAL CROSS SECTION 8400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 52 =================================================================8400 1451 53 27/502 COHERENT SCATTERING FORM FACTORS 8400 1451 54 27/504 INCOHERENT SCATTERING FUNCTIONS 8400 1451 55 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8400 1451 56 27/506 COHERENT REAL SCATTERING FACTOR 8400 1451 57 =================================================================8400 1451 58 WARNING 8400 1451 59 =================================================================8400 1451 60 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8400 1451 61 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8400 1451 62 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8400 1451 63 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8400 1451 64 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8400 1451 65 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8400 1451 66 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8400 1451 67 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8400 1451 68 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8400 1451 69 =================================================================8400 1451 70 DEFINITION OF NEW TYPES OF DATA 8400 1451 71 =================================================================8400 1451 72 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8400 1451 73 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8400 1451 74 8400 1451 75 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8400 1451 76 C2 FIELDS ARE, 8400 1451 77 8400 1451 78 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8400 1451 79 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8400 1451 80 8400 1451 81 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8400 1451 82 8400 1451 83 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8400 1451 84 8400 1451 85 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8400 1451 86 T = THE THOMSON CROSS SECTION 8400 1451 87 MU = THE COSINE OF THE SCATTERING ANGLE 8400 1451 88 FF(M) = THE ATOMIC FORM FACTOR 8400 1451 89 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8400 1451 90 F1(E) = THE REAL SCATTERING FACTOR 8400 1451 91 F2(E) = THE IMAGINARY SCATTERING FACTOR 8400 1451 92 8400 1451 93 F1(E) AND F2(E) ARE ISOTROPIC. 8400 1451 94 8400 1451 95 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8400 1451 96 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8400 1451 97 =================================================================8400 1451 98 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8400 1451 99 =================================================================8400 1451 100 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8400 1451 101 HERE - 10 EV TO 100 MEV 8400 1451 102 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8400 1451 103 - FLUORESCENCE AND ELECTRON SPECTRA 8400 1451 104 HERE - PHOTON INTERACTION 8400 1451 105 - AVERAGE FLUORESCENCE YIELD 8400 1451 106 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8400 1451 107 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8400 1451 108 HERE - NO SECONDARY ENERGY DATA 8400 1451 109 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8400 1451 110 INTERPOLABLE - SUMMATION CROSS SECTIONS 8400 1451 111 (E.G., TOTAL) ARE NOT INCLUDED 8400 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8400 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8400 1451 114 - SCATTERING FACTORS LINEARLY INTERPOLABLE8400 1451 115 (SINCE THEY CAN BE NEGATIVE). 8400 1451 116 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8400 1451 117 ORDER TO ALLOW CROSS SECTIONS DEFINED 8400 1451 118 BY SUMMATION (E.G., TOTAL) TO BE 8400 1451 119 CONSISTENTLY DEFINED AT ALL ENERGIES. 8400 1451 120 - FORM FACTORS ARE LOG X VS. LOG Y 8400 1451 121 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8400 1451 122 - SCATTERING FACTORS LINEARLY INTERPOLABLE8400 1451 123 =================================================================8400 1451 124 REFERENCES 8400 1451 125 =================================================================8400 1451 126 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8400 1451 127 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8400 1451 128 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8400 1451 129 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8400 1451 130 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8400 1451 131 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8400 1451 132 8400 1451 133 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8400 1451 134 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8400 1451 135 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8400 1451 136 OF THE DATA, ETC. 8400 1451 137 =================================================================8400 1451 138 HISTORY 8400 1451 139 =================================================================8400 1451 140 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8400 1451 141 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8400 1451 142 CROSS SECTIONS. 8400 1451 143 =================================================================8400 1451 144 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8400 1451 145 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8400 1451 146 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8400 1451 147 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8400 1451 148 *RECONSTRUCTED MT NUMBERS 8400 1451 149 516 =+(515,515)+(517,517) 8400 1451 150 522 =+(534,572) 8400 1451 151 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8400 1451 152 1 451 188 18400 1451 153 23 501 602 18400 1451 154 23 502 155 18400 1451 155 23 504 31 18400 1451 156 23 515 30 18400 1451 157 23 516 59 18400 1451 158 23 517 42 18400 1451 159 23 522 416 28400 1451 160 23 534 29 28400 1451 161 23 535 36 28400 1451 162 23 536 40 28400 1451 163 23 537 43 28400 1451 164 23 538 41 28400 1451 165 23 539 45 28400 1451 166 23 540 47 28400 1451 167 23 541 56 28400 1451 168 23 542 56 28400 1451 169 23 543 47 28400 1451 170 23 544 48 28400 1451 171 23 545 51 28400 1451 172 23 546 61 28400 1451 173 23 547 62 28400 1451 174 23 548 76 28400 1451 175 23 549 79 28400 1451 176 23 550 51 28400 1451 177 23 551 56 28400 1451 178 23 552 57 28400 1451 179 23 553 76 28400 1451 180 23 554 77 28400 1451 181 23 559 60 28400 1451 182 23 560 67 28400 1451 183 23 561 68 28400 1451 184 27 502 48 18400 1451 185 27 504 46 18400 1451 186 27 505 134 18400 1451 187 27 506 134 18400 1451 188 8400 1 0 189 8400 0 0 190 8.400000+4 2.072050+2 0 0 0 0840023501 191 0.000000+0 0.000000+0 0 0 1 1795840023501 192 1795 2 0 0 0 0840023501 193 1.000000+1 3.268440+7 1.009050+1 3.197480+7 1.013400+1 3.163370+7840023501 194 1.016600+1 3.138280+7 1.020780+1 3.105510+7 1.025000+1 3.072420+7840023501 195 1.025000+1 5.595860+7 1.028980+1 5.550360+7 1.032870+1 5.505880+7840023501 196 1.036640+1 5.462780+7 1.043870+1 5.380120+7 1.057790+1 5.220980+7840023501 197 1.121510+1 4.605310+7 1.150810+1 4.322210+7 1.154520+1 4.292330+7840023501 198 1.154780+1 4.290500+7 1.210050+1 3.900170+7 1.252000+1 3.603910+7840023501 199 1.300400+1 3.291200+7 1.305590+1 3.258130+7 1.309860+1 3.230920+7840023501 200 1.321580+1 3.165230+7 1.396640+1 2.744520+7 1.401710+1 2.718680+7840023501 201 1.429530+1 2.597070+7 1.499770+1 2.290020+7 1.500000+1 2.289010+7840023501 202 1.566410+1 2.025750+7 1.589160+1 1.942810+7 1.611850+1 1.860080+7840023501 203 1.631340+1 1.797970+7 1.688590+1 1.636060+7 1.707360+1 1.582970+7840023501 204 1.732050+1 1.513150+7 1.760420+1 1.439870+7 1.771840+1 1.414250+7840023501 205 1.838760+1 1.264100+7 1.855160+1 1.227300+7 1.872390+1 1.193520+7840023501 206 1.881720+1 1.175230+7 1.887140+1 1.165820+7 1.923990+1 1.101870+7840023501 207 1.970030+1 1.021960+7 1.977010+1 1.011210+7 1.992440+1 9.874310+6840023501 208 1.994690+1 9.839640+6 2.001500+1 9.745240+6 2.007770+1 9.658320+6840023501 209 2.012860+1 9.587770+6 2.016410+1 9.538560+6 2.020300+1 9.484630+6840023501 210 2.024660+1 9.424200+6 2.029000+1 9.364030+6 2.033000+1 9.308590+6840023501 211 2.033000+1 1.078870+7 2.035520+1 1.074670+7 2.042060+1 1.063790+7840023501 212 2.051180+1 1.048600+7 2.056790+1 1.039270+7 2.067170+1 1.021980+7840023501 213 2.076370+1 1.006670+7 2.076580+1 1.006350+7 2.094430+1 9.790920+6840023501 214 2.099090+1 9.719760+6 2.108530+1 9.585950+6 2.174110+1 8.686210+6840023501 215 2.176920+1 8.651610+6 2.194910+1 8.438620+6 2.301970+1 7.290670+6840023501 216 2.356360+1 6.730250+6 2.373250+1 6.576700+6 2.400460+1 6.355530+6840023501 217 2.477080+1 5.751940+6 2.503000+1 5.553420+6 2.516450+1 5.459950+6840023501 218 2.546440+1 5.268420+6 2.596610+1 4.948010+6 2.618940+1 4.810110+6840023501 219 2.629490+1 4.751380+6 2.721920+1 4.281320+6 2.803000+1 3.884280+6840023501 220 2.808640+1 3.859890+6 2.810880+1 3.851220+6 2.857580+1 3.670450+6840023501 221 2.902740+1 3.501230+6 3.000000+1 3.136790+6 3.021280+1 3.075710+6840023501 222 3.094320+1 2.866040+6 3.132820+1 2.755520+6 3.138180+1 2.741770+6840023501 223 3.191600+1 2.617750+6 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8.966610+1 3.706180+4 7.613710+1840023542 1897 3.847530+4 6.598470+1 4.107990+4 5.136590+1 4.314830+4 4.256960+1840023542 1898 4.476780+4 3.697580+1 4.731160+4 2.993260+1 5.000000+4 2.423100+1840023542 1899 5.221370+4 2.045450+1 5.437800+4 1.745030+1 5.648840+4 1.503600+1840023542 1900 5.854120+4 1.307680+1 6.053340+4 1.147250+1 6.445340+4 8.975990+0840023542 1901 6.809110+4 7.241480+0 7.144200+4 6.001080+0 7.450910+4 5.091320+0840023542 1902 7.730070+4 4.409170+0 8.243990+4 3.427900+0 8.651729+4 2.838130+0840023542 1903 8.970720+4 2.463390+0 9.471390+4 1.991990+0 1.000000+5 1.610800+0840023542 1904 1.051990+5 1.323410+0 1.099690+5 1.114330+0 1.143200+5 9.586680-1840023542 1905 1.182690+5 8.404100-1 1.255090+5 6.674700-1 1.312290+5 5.615480-1840023542 1906 1.356890+5 4.932920-1 1.426650+5 4.061430-1 1.500000+5 3.343900-1840023542 1907 1.554920+5 2.918400-1 1.655920+5 2.299880-1 1.735950+5 1.923640-1840023542 1908 1.798500+5 1.682440-1 1.896570+5 1.376140-1 2.000000+5 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1.708820-4 2.417610+6 1.523520-4 2.693110+6 1.282550-4840023542 1922 3.000000+6 1.079700-4 3.464100+6 8.731670-5 4.000000+6 7.061410-5840023542 1923 4.472140+6 6.043740-5 5.000000+6 5.172730-5 5.477230+6 4.577800-5840023542 1924 6.000000+6 4.051300-5 7.000000+6 3.317230-5 8.000000+6 2.801450-5840023542 1925 9.000000+6 2.420500-5 1.000000+7 2.128370-5 1.100000+7 1.898310-5840023542 1926 1.200000+7 1.712120-5 1.300000+7 1.558030-5 1.400000+7 1.429620-5840023542 1927 1.500000+7 1.320470-5 1.600000+7 1.226300-5 1.800000+7 1.073280-5840023542 1928 2.000000+7 9.537560-6 2.200000+7 8.579840-6 2.400000+7 7.795480-6840023542 1929 2.600000+7 7.142740-6 2.800000+7 6.589510-6 3.000000+7 6.115470-6840023542 1930 3.464100+7 5.243840-6 4.000000+7 4.496450-6 4.472140+7 3.997380-6840023542 1931 5.000000+7 3.553710-6 6.000000+7 2.937350-6 6.928200+7 2.530350-6840023542 1932 8.000000+7 2.179740-6 8.944271+7 1.943870-6 1.000000+8 1.733520-6840023542 1933 840023 0 1934 8.400000+4 2.072050+2 0 0 0 0840023543 1935 9.716400+2 0.000000+0 0 0 1 131840023543 1936 131 2 0 0 0 0840023543 1937 9.716400+2 0.000000+0 9.716400+2 4.100300+4 1.082020+3 3.987520+4840023543 1938 1.158590+3 3.785610+4 1.359510+3 3.100680+4 1.468990+3 2.741900+4840023543 1939 1.587290+3 2.424640+4 1.864790+3 2.003020+4 2.000000+3 1.854700+4840023543 1940 2.179970+3 1.641500+4 2.480740+3 1.366760+4 2.823000+3 1.138000+4840023543 1941 3.110330+3 9.774970+3 3.344860+3 8.721580+3 3.730230+3 7.350460+3840023543 1942 4.160000+3 6.194900+3 4.558880+3 5.304530+3 4.882940+3 4.721780+3840023543 1943 5.412730+3 3.965470+3 6.000000+3 3.330300+3 6.395620+3 2.965210+3840023543 1944 7.151741+3 2.419950+3 7.776940+3 2.077870+3 8.281451+3 1.853440+3840023543 1945 9.100250+3 1.561410+3 1.000000+4 1.315400+3 1.068970+4 1.155320+3840023543 1946 1.201310+4 9.206160+2 1.311210+4 7.764460+2 1.400190+4 6.833380+2840023543 1947 1.545090+4 5.641860+2 1.705000+4 4.658100+2 1.829780+4 4.022650+2840023543 1948 1.946430+4 3.538160+2 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2.988430+3 1.302090+4 3.304000+3 1.131800+4 3.707380+3 9.478701+3840023544 1989 4.160000+3 7.938300+3 4.558880+3 6.782760+3 4.882940+3 6.027890+3840023544 1990 5.412730+3 5.050150+3 6.000000+3 4.231000+3 6.447420+3 3.692300+3840023544 1991 7.181880+3 3.010070+3 8.000000+3 2.453900+3 8.944270+3 1.958680+3840023544 1992 1.000000+4 1.563400+3 1.106680+4 1.255410+3 1.194100+4 1.064930+3840023544 1993 1.264160+4 9.412940+2 1.377040+4 7.822210+2 1.500000+4 6.500300+2840023544 1994 1.611850+4 5.503020+2 1.701190+4 4.856810+2 1.844550+4 4.026960+2840023544 1995 2.000000+4 3.338900+2 2.103980+4 2.948000+2 2.299120+4 2.370800+2840023544 1996 2.457260+4 2.013360+2 2.582970+4 1.781110+2 2.783680+4 1.481990+2840023544 1997 3.000000+4 1.233100+2 3.223710+4 1.024020+2 3.402370+4 8.908220+1840023544 1998 3.689100+4 7.227940+1 4.000000+4 5.864600+1 4.207960+4 5.117240+1840023544 1999 4.598240+4 4.031180+1 4.914520+4 3.370770+1 5.165930+4 2.947490+1840023544 2000 5.567370+4 2.410110+1 6.000000+4 1.970700+1 6.395620+4 1.648770+1840023544 2001 6.763120+4 1.410530+1 7.101970+4 1.230480+1 7.736310+4 9.689260+0840023544 2002 8.248979+4 8.099370+0 8.655660+4 7.080640+0 9.303579+4 5.787670+0840023544 2003 1.000000+5 4.730800+0 1.044270+5 4.182700+0 1.132640+5 3.320360+0840023544 2004 1.216070+5 2.712990+0 1.294100+5 2.273410+0 1.366470+5 1.947620+0840023544 2005 1.433110+5 1.701090+0 1.557640+5 1.342350+0 1.658090+5 1.123890+0840023544 2006 1.737650+5 9.837020-1 1.864220+5 8.055180-1 2.000000+5 6.596100-1840023544 2007 2.103980+5 5.727260-1 2.199390+5 5.061440-1 2.376880+5 4.077050-1840023544 2008 2.519330+5 3.466570-1 2.631750+5 3.069490-1 2.809850+5 2.557490-1840023544 2009 3.000000+5 2.130900-1 3.223710+5 1.757160-1 3.402370+5 1.520540-1840023544 2010 3.689100+5 1.223990-1 4.000000+5 9.852700-2 4.229490+5 8.531020-2840023544 2011 4.598630+5 6.873360-2 5.000000+5 5.537800-2 5.477230+5 4.416910-2840023544 2012 6.000000+5 3.522900-2 6.447420+5 2.975450-2 6.804750+5 2.621450-2840023544 2013 7.378210+5 2.167830-2 8.000000+5 1.792700-2 8.458970+5 1.586860-2840023544 2014 9.197270+5 1.321550-2 1.000000+6 1.100600-2 1.022000+6 1.052380-2840023544 2015 1.130270+6 8.631330-3 1.250000+6 7.079180-3 1.369310+6 5.985940-3840023544 2016 1.500000+6 5.061530-3 1.611850+6 4.463520-3 1.795470+6 3.696340-3840023544 2017 2.000000+6 3.061020-3 2.044000+6 2.950050-3 2.249780+6 2.531430-3840023544 2018 2.417610+6 2.256930-3 2.693110+6 1.899960-3 3.000000+6 1.599460-3840023544 2019 3.464100+6 1.293500-3 4.000000+6 1.046070-3 4.472140+6 8.953140-4840023544 2020 5.000000+6 7.662840-4 5.477230+6 6.781520-4 6.000000+6 6.001560-4840023544 2021 7.000000+6 4.914110-4 8.000000+6 4.150050-4 9.000000+6 3.585720-4840023544 2022 1.000000+7 3.152960-4 1.100000+7 2.812140-4 1.200000+7 2.536320-4840023544 2023 1.300000+7 2.308050-4 1.400000+7 2.117820-4 1.500000+7 1.956130-4840023544 2024 1.600000+7 1.816640-4 1.800000+7 1.589950-4 2.000000+7 1.412890-4840023544 2025 2.200000+7 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******************************************************************8500 1451 10 * JEF-2 *8500 1451 11 * DATA TAKEN FROM EPDL *8500 1451 12 ******************************************************************8500 1451 13 =================================================================8500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8500 1451 15 ENDF/B-VI FORMAT 8500 1451 16 =================================================================8500 1451 17 CONTENTS 8500 1451 18 =================================================================8500 1451 19 MF/MT DESCRIPTION 8500 1451 20 =================================================================8500 1451 21 23/501 TOTAL CROSS SECTION 8500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 52 =================================================================8500 1451 53 27/502 COHERENT SCATTERING FORM FACTORS 8500 1451 54 27/504 INCOHERENT SCATTERING FUNCTIONS 8500 1451 55 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8500 1451 56 27/506 COHERENT REAL SCATTERING FACTOR 8500 1451 57 =================================================================8500 1451 58 WARNING 8500 1451 59 =================================================================8500 1451 60 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8500 1451 61 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8500 1451 62 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8500 1451 63 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8500 1451 64 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8500 1451 65 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8500 1451 66 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8500 1451 67 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8500 1451 68 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8500 1451 69 =================================================================8500 1451 70 DEFINITION OF NEW TYPES OF DATA 8500 1451 71 =================================================================8500 1451 72 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8500 1451 73 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8500 1451 74 8500 1451 75 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8500 1451 76 C2 FIELDS ARE, 8500 1451 77 8500 1451 78 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8500 1451 79 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8500 1451 80 8500 1451 81 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8500 1451 82 8500 1451 83 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8500 1451 84 8500 1451 85 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8500 1451 86 T = THE THOMSON CROSS SECTION 8500 1451 87 MU = THE COSINE OF THE SCATTERING ANGLE 8500 1451 88 FF(M) = THE ATOMIC FORM FACTOR 8500 1451 89 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8500 1451 90 F1(E) = THE REAL SCATTERING FACTOR 8500 1451 91 F2(E) = THE IMAGINARY SCATTERING FACTOR 8500 1451 92 8500 1451 93 F1(E) AND F2(E) ARE ISOTROPIC. 8500 1451 94 8500 1451 95 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8500 1451 96 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8500 1451 97 =================================================================8500 1451 98 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8500 1451 99 =================================================================8500 1451 100 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8500 1451 101 HERE - 10 EV TO 100 MEV 8500 1451 102 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8500 1451 103 - FLUORESCENCE AND ELECTRON SPECTRA 8500 1451 104 HERE - PHOTON INTERACTION 8500 1451 105 - AVERAGE FLUORESCENCE YIELD 8500 1451 106 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8500 1451 107 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8500 1451 108 HERE - NO SECONDARY ENERGY DATA 8500 1451 109 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8500 1451 110 INTERPOLABLE - SUMMATION CROSS SECTIONS 8500 1451 111 (E.G., TOTAL) ARE NOT INCLUDED 8500 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8500 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8500 1451 114 - SCATTERING FACTORS LINEARLY INTERPOLABLE8500 1451 115 (SINCE THEY CAN BE NEGATIVE). 8500 1451 116 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8500 1451 117 ORDER TO ALLOW CROSS SECTIONS DEFINED 8500 1451 118 BY SUMMATION (E.G., TOTAL) TO BE 8500 1451 119 CONSISTENTLY DEFINED AT ALL ENERGIES. 8500 1451 120 - FORM FACTORS ARE LOG X VS. LOG Y 8500 1451 121 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8500 1451 122 - SCATTERING FACTORS LINEARLY INTERPOLABLE8500 1451 123 =================================================================8500 1451 124 REFERENCES 8500 1451 125 =================================================================8500 1451 126 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8500 1451 127 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8500 1451 128 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8500 1451 129 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8500 1451 130 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8500 1451 131 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8500 1451 132 8500 1451 133 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8500 1451 134 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8500 1451 135 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8500 1451 136 OF THE DATA, ETC. 8500 1451 137 =================================================================8500 1451 138 HISTORY 8500 1451 139 =================================================================8500 1451 140 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8500 1451 141 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8500 1451 142 CROSS SECTIONS. 8500 1451 143 =================================================================8500 1451 144 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8500 1451 145 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8500 1451 146 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8500 1451 147 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8500 1451 148 *RECONSTRUCTED MT NUMBERS 8500 1451 149 516 =+(515,515)+(517,517) 8500 1451 150 522 =+(534,572) 8500 1451 151 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8500 1451 152 1 451 188 18500 1451 153 23 501 619 18500 1451 154 23 502 159 18500 1451 155 23 504 30 18500 1451 156 23 515 30 18500 1451 157 23 516 59 18500 1451 158 23 517 42 18500 1451 159 23 522 425 28500 1451 160 23 534 29 28500 1451 161 23 535 36 28500 1451 162 23 536 40 28500 1451 163 23 537 42 28500 1451 164 23 538 41 28500 1451 165 23 539 44 28500 1451 166 23 540 47 28500 1451 167 23 541 57 28500 1451 168 23 542 56 28500 1451 169 23 543 46 28500 1451 170 23 544 48 28500 1451 171 23 545 51 28500 1451 172 23 546 58 28500 1451 173 23 547 63 28500 1451 174 23 548 75 28500 1451 175 23 549 77 28500 1451 176 23 550 50 28500 1451 177 23 551 56 28500 1451 178 23 552 57 28500 1451 179 23 553 78 28500 1451 180 23 554 78 28500 1451 181 23 559 58 28500 1451 182 23 560 67 28500 1451 183 23 561 69 28500 1451 184 27 502 50 18500 1451 185 27 504 48 18500 1451 186 27 505 139 18500 1451 187 27 506 139 18500 1451 188 8500 1 0 189 8500 0 0 190 8.500000+4 2.081960+2 0 0 0 0850023501 191 0.000000+0 0.000000+0 0 0 1 1846850023501 192 1846 2 0 0 0 0850023501 193 1.000000+1 5.448220+7 1.044700+1 4.892970+7 1.050540+1 4.820420+7850023501 194 1.091400+1 4.410610+7 1.131170+1 4.011720+7 1.154780+1 3.828720+7850023501 195 1.169320+1 3.716020+7 1.176570+1 3.659820+7 1.182130+1 3.616730+7850023501 196 1.186510+1 3.582780+7 1.192940+1 3.532940+7 1.194000+1 3.524720+7850023501 197 1.194000+1 6.615430+7 1.199410+1 6.553590+7 1.204310+1 6.497590+7850023501 198 1.209060+1 6.443290+7 1.215940+1 6.364660+7 1.218000+1 6.341110+7850023501 199 1.281650+1 5.633060+7 1.283090+1 5.617040+7 1.300660+1 5.451540+7850023501 200 1.333520+1 5.166010+7 1.387310+1 4.698610+7 1.401400+1 4.597940+7850023501 201 1.416840+1 4.487620+7 1.500000+1 3.875490+7 1.512470+1 3.794240+7850023501 202 1.586330+1 3.312940+7 1.597170+1 3.249730+7 1.611850+1 3.164120+7850023501 203 1.665940+1 2.854170+7 1.701180+1 2.669350+7 1.738860+1 2.491470+7850023501 204 1.771420+1 2.353930+7 1.793080+1 2.272340+7 1.826910+1 2.144890+7850023501 205 1.874250+1 1.966560+7 1.882240+1 1.939890+7 1.892760+1 1.909390+7850023501 206 1.970690+1 1.683510+7 1.982660+1 1.648810+7 2.000000+1 1.602910+7850023501 207 2.051820+1 1.481610+7 2.068070+1 1.443570+7 2.103980+1 1.367250+7850023501 208 2.137240+1 1.304010+7 2.193920+1 1.196230+7 2.199390+1 1.185830+7850023501 209 2.203120+1 1.179590+7 2.206730+1 1.174290+7 2.252100+1 1.107620+7850023501 210 2.263000+1 1.091600+7 2.269590+1 1.081920+7 2.275070+1 1.073860+7850023501 211 2.282220+1 1.063360+7 2.286620+1 1.056890+7 2.291560+1 1.049630+7850023501 212 2.300980+1 1.035790+7 2.301000+1 1.035760+7 2.301000+1 1.150830+7850023501 213 2.310440+1 1.135220+7 2.318940+1 1.121160+7 2.326910+1 1.107980+7850023501 214 2.338080+1 1.089510+7 2.344990+1 1.078080+7 2.347000+1 1.074760+7850023501 215 2.376880+1 1.030220+7 2.378580+1 1.028030+7 2.460020+1 9.257730+6850023501 216 2.495540+1 8.811760+6 2.519330+1 8.536860+6 2.520680+1 8.522820+6850023501 217 2.613090+1 7.592500+6 2.628900+1 7.446690+6 2.631750+1 7.420400+6850023501 218 2.632810+1 7.411680+6 2.665510+1 7.148980+6 2.720160+1 6.709950+6850023501 219 2.799870+1 6.083410+6 2.809850+1 6.012770+6 2.856660+1 5.725230+6850023501 220 3.000000+1 4.868630+6 3.109840+1 4.375830+6 3.117270+1 4.343180+6850023501 221 3.132820+1 4.274830+6 3.144550+1 4.229040+6 3.164390+1 4.151580+6850023501 222 3.239120+1 3.883520+6 3.282200+1 3.729000+6 3.315610+1 3.612050+6850023501 223 3.349720+1 3.500470+6 3.397920+1 3.342810+6 3.453840+1 3.185750+6850023501 224 3.464100+1 3.159390+6 3.536620+1 2.979970+6 3.633820+1 2.739510+6850023501 225 3.648210+1 2.703900+6 3.648260+1 2.703800+6 3.709760+1 2.570430+6850023501 226 3.722420+1 2.545660+6 3.763430+1 2.467620+6 3.821230+1 2.357620+6850023501 227 3.865160+1 2.274020+6 3.882300+1 2.241410+6 3.914060+1 2.187600+6850023501 228 3.932000+1 2.160330+6 4.000000+1 2.056960+6 4.099410+1 1.911440+6850023501 229 4.123990+1 1.879090+6 4.168150+1 1.820960+6 4.241810+1 1.724010+6850023501 230 4.288120+1 1.670280+6 4.299330+1 1.657500+6 4.343360+1 1.613880+6850023501 231 4.383440+1 1.574180+6 4.423880+1 1.534130+6 4.449870+1 1.508390+6850023501 232 4.470230+1 1.488220+6 4.488030+1 1.470590+6 4.506000+1 1.452790+6850023501 233 4.506000+1 3.242590+6 4.531080+1 3.362990+6 4.555070+1 3.478160+6850023501 234 4.597000+1 3.679450+6 4.603770+1 3.712970+6 4.606840+1 3.733300+6850023501 235 4.654480+1 4.048740+6 4.672920+1 4.170840+6 4.703660+1 4.378330+6850023501 236 4.712680+1 4.469690+6 4.758440+1 4.933130+6 4.780000+1 5.151480+6850023501 237 4.804640+1 5.466870+6 4.857580+1 6.144520+6 4.858710+1 6.164570+6850023501 238 4.900380+1 6.904010+6 4.910000+1 7.074710+6 4.913530+1 7.156940+6850023501 239 4.916650+1 7.229800+6 4.920000+1 7.308030+6 4.920000+1 8.392160+6850023501 240 4.959190+1 9.419320+6 4.964430+1 9.556660+6 4.974260+1 9.856210+6850023501 241 5.002090+1 1.070630+7 5.005650+1 1.081510+7 5.018000+1 1.126000+7850023501 242 5.068120+1 1.312870+7 5.074370+1 1.341130+7 5.127790+1 1.591080+7850023501 243 5.131370+1 1.608190+7 5.137170+1 1.635680+7 5.165150+1 1.768340+7850023501 244 5.181770+1 1.847210+7 5.207160+1 1.988920+7 5.212960+1 2.021290+7850023501 245 5.229470+1 2.113550+7 5.232670+1 2.131940+7 5.263660+1 2.301050+7850023501 246 5.277610+1 2.377180+7 5.297390+1 2.490360+7 5.320090+1 2.635230+7850023501 247 5.320770+1 2.639780+7 5.362920+1 2.922060+7 5.378430+1 3.019090+7850023501 248 5.395270+1 3.124440+7 5.436720+1 3.401680+7 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2.011910+1 5.437800+4 1.725160+1850023541 1870 5.648840+4 1.493570+1 5.854120+4 1.304770+1 6.053340+4 1.149500+1850023541 1871 6.445340+4 9.064410+0 6.809110+4 7.363180+0 7.144200+4 6.138700+0850023541 1872 7.450910+4 5.235530+0 7.730070+4 4.554950+0 8.243990+4 3.569850+0850023541 1873 8.651729+4 2.973550+0 8.970720+4 2.592650+0 9.471390+4 2.110800+0850023541 1874 1.000000+5 1.718500+0 1.051990+5 1.420290+0 1.099690+5 1.202130+0850023541 1875 1.143200+5 1.038920+0 1.182690+5 9.143870-1 1.255090+5 7.312930-1850023541 1876 1.312290+5 6.184620-1 1.356890+5 5.454170-1 1.426650+5 4.517020-1850023541 1877 1.500000+5 3.740900-1 1.554920+5 3.275950-1 1.655920+5 2.596990-1850023541 1878 1.735950+5 2.181820-1 1.798500+5 1.914610-1 1.896570+5 1.573890-1850023541 1879 2.000000+5 1.293800-1 2.103980+5 1.080030-1 2.199390+5 9.221700-2850023541 1880 2.286410+5 8.030880-2 2.447070+5 6.304920-2 2.574930+5 5.258560-2850023541 1881 2.675180+5 4.589410-2 2.832940+5 3.741900-2 3.000000+5 3.050900-2850023541 1882 3.223710+5 2.395200-2 3.402370+5 1.997690-2 3.542840+5 1.743480-2850023541 1883 3.764490+5 1.421510-2 4.000000+5 1.159000-2 4.229490+5 9.685860-3850023541 1884 4.410200+5 8.466020-3 4.695850+5 6.918160-3 5.000000+5 5.653300-3850023541 1885 5.233180+5 4.915230-3 5.603490+5 3.984800-3 6.000000+5 3.230500-3850023541 1886 6.447420+5 2.626050-3 6.804750+5 2.248170-3 7.378210+5 1.780800-3850023541 1887 8.000000+5 1.410600-3 8.458970+5 1.219530-3 9.197270+5 9.803310-4850023541 1888 1.000000+6 7.880500-4 1.022000+6 7.502830-4 1.130270+6 6.124950-4850023541 1889 1.250000+6 5.000110-4 1.369310+6 4.257040-4 1.500000+6 3.624390-4850023541 1890 1.611850+6 3.196000-4 1.795470+6 2.646460-4 2.000000+6 2.191410-4850023541 1891 2.044000+6 2.112880-4 2.249780+6 1.812700-4 2.417610+6 1.615890-4850023541 1892 2.693110+6 1.360020-4 3.000000+6 1.144660-4 3.464100+6 9.255850-5850023541 1893 4.000000+6 7.484380-5 4.472140+6 6.404970-5 5.000000+6 5.481230-5850023541 1894 5.477230+6 4.850560-5 6.000000+6 4.292460-5 7.000000+6 3.513580-5850023541 1895 8.000000+6 2.967070-5 9.000000+6 2.562570-5 1.000000+7 2.253810-5850023541 1896 1.100000+7 2.009600-5 1.200000+7 1.812730-5 1.300000+7 1.650280-5850023541 1897 1.400000+7 1.513660-5 1.500000+7 1.397470-5 1.600000+7 1.298500-5850023541 1898 1.800000+7 1.136050-5 2.000000+7 1.009430-5 2.200000+7 9.079790-6850023541 1899 2.400000+7 8.250350-6 2.600000+7 7.558610-6 2.800000+7 6.973370-6850023541 1900 3.000000+7 6.470970-6 3.464100+7 5.548310-6 4.000000+7 4.757210-6850023541 1901 4.472140+7 4.229280-6 5.000000+7 3.759940-6 6.000000+7 3.106920-6850023541 1902 6.928200+7 2.676980-6 8.000000+7 2.306530-6 8.944271+7 2.056270-6850023541 1903 1.000000+8 1.833170-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0850023541 1904 850023 0 1905 8.500000+4 2.081960+2 0 0 0 0850023542 1906 2.786200+3 0.000000+0 0 0 1 159850023542 1907 159 2 0 0 0 0850023542 1908 2.786200+3 0.000000+0 2.786200+3 5.669560+5 2.820190+3 4.805910+5850023542 1909 2.854600+3 4.073820+5 2.867660+3 3.879450+5 2.908000+3 3.592400+5850023542 1910 3.154550+3 2.908630+5 3.422000+3 2.355000+5 3.588110+3 2.056970+5850023542 1911 3.898450+3 1.623290+5 4.148700+3 1.359160+5 4.346870+3 1.189670+5850023542 1912 4.662010+3 9.742270+4 5.000000+3 7.978000+4 5.233180+3 6.961960+4850023542 1913 5.603491+3 5.675280+4 6.000000+3 4.626400+4 6.447420+3 3.691970+4850023542 1914 6.804750+3 3.117230+4 7.085681+3 2.745700+4 7.528971+3 2.269750+4850023542 1915 8.000000+3 1.876300+4 8.458970+3 1.564340+4 8.820401+3 1.364910+4850023542 1916 9.391701+3 1.112400+4 1.000000+4 9.066100+3 1.067960+4 7.275790+3850023542 1917 1.121940+4 6.169140+3 1.208070+4 4.816610+3 1.300820+4 3.760610+3850023542 1918 1.372680+4 3.108910+3 1.438800+4 2.632010+3 1.499270+4 2.275140+3850023542 1919 1.554260+4 2.002810+3 1.655390+4 1.602290+3 1.735530+4 1.355410+3850023542 1920 1.798180+4 1.195540+3 1.896400+4 9.903960+2 2.000000+4 8.204500+2850023542 1921 2.103980+4 6.808630+2 2.199390+4 5.783510+2 2.286410+4 5.013970+2850023542 1922 2.447070+4 3.905390+2 2.574930+4 3.238000+2 2.675180+4 2.813430+2850023542 1923 2.832940+4 2.278640+2 3.000000+4 1.845500+2 3.197810+4 1.446700+2850023542 1924 3.381560+4 1.169120+2 3.550980+4 9.702930+1 3.706180+4 8.242660+1850023542 1925 3.847530+4 7.146390+1 4.107990+4 5.566980+1 4.314830+4 4.616040+1850023542 1926 4.476780+4 4.011040+1 4.731160+4 3.248920+1 5.000000+4 2.631600+1850023542 1927 5.221370+4 2.222340+1 5.437800+4 1.896670+1 5.648840+4 1.634830+1850023542 1928 5.854120+4 1.422280+1 6.053340+4 1.248190+1 6.445340+4 9.771360+0850023542 1929 6.809110+4 7.887170+0 7.144200+4 6.539080+0 7.450910+4 5.549930+0850023542 1930 7.730070+4 4.807980+0 8.243990+4 3.740190+0 8.651729+4 3.098070+0850023542 1931 8.970720+4 2.689920+0 9.471390+4 2.176270+0 1.000000+5 1.760700+0850023542 1932 1.051990+5 1.447110+0 1.099690+5 1.218890+0 1.143200+5 1.048920+0850023542 1933 1.182690+5 9.197630-1 1.255090+5 7.308160-1 1.312290+5 6.150450-1850023542 1934 1.356890+5 5.404200-1 1.426650+5 4.451110-1 1.500000+5 3.666100-1850023542 1935 1.554920+5 3.200330-1 1.655920+5 2.523050-1 1.735950+5 2.110940-1850023542 1936 1.798500+5 1.846660-1 1.896570+5 1.510970-1 2.000000+5 1.236300-1850023542 1937 2.077490+5 1.076460-1 2.220390+5 8.448450-2 2.333980+5 7.044690-2850023542 1938 2.422960+5 6.147170-2 2.562850+5 5.010670-2 2.710810+5 4.084280-2850023542 1939 2.851740+5 3.419010-2 3.000000+5 2.862100-2 3.223710+5 2.248540-2850023542 1940 3.402370+5 1.876340-2 3.542840+5 1.638210-2 3.764490+5 1.336470-2850023542 1941 4.000000+5 1.090300-2 4.229490+5 9.143000-3 4.410200+5 8.012100-3850023542 1942 4.695850+5 6.572520-3 5.000000+5 5.391600-3 5.233180+5 4.709210-3850023542 1943 5.603490+5 3.844090-3 6.000000+5 3.137900-3 6.447420+5 2.573710-3850023542 1944 6.804750+5 2.218190-3 7.378210+5 1.774840-3 8.000000+5 1.420100-3850023542 1945 8.458970+5 1.236890-3 9.197270+5 1.005420-3 1.000000+6 8.172700-4850023542 1946 1.022000+6 7.792350-4 1.130270+6 6.370040-4 1.250000+6 5.207340-4850023542 1947 1.369310+6 4.424170-4 1.500000+6 3.758780-4 1.611850+6 3.314510-4850023542 1948 1.795470+6 2.744590-4 2.000000+6 2.272670-4 2.044000+6 2.191220-4850023542 1949 2.249780+6 1.879910-4 2.417610+6 1.675810-4 2.693110+6 1.410440-4850023542 1950 3.000000+6 1.187100-4 3.464100+6 9.599030-5 4.000000+6 7.761890-5850023542 1951 4.472140+6 6.642450-5 5.000000+6 5.684460-5 5.477230+6 5.030410-5850023542 1952 6.000000+6 4.451620-5 7.000000+6 3.643860-5 8.000000+6 3.077090-5850023542 1953 9.000000+6 2.657580-5 1.000000+7 2.337380-5 1.100000+7 2.084120-5850023542 1954 1.200000+7 1.879950-5 1.300000+7 1.711480-5 1.400000+7 1.569780-5850023542 1955 1.500000+7 1.449290-5 1.600000+7 1.346640-5 1.800000+7 1.178170-5850023542 1956 2.000000+7 1.046860-5 2.200000+7 9.416460-6 2.400000+7 8.556260-6850023542 1957 2.600000+7 7.838870-6 2.800000+7 7.231930-6 3.000000+7 6.710900-6850023542 1958 3.464100+7 5.754030-6 4.000000+7 4.933600-6 4.472140+7 4.386100-6850023542 1959 5.000000+7 3.899350-6 6.000000+7 3.222130-6 6.928200+7 2.776240-6850023542 1960 8.000000+7 2.392050-6 8.944271+7 2.132520-6 1.000000+8 1.901140-6850023542 1961 850023 0 1962 8.500000+4 2.081960+2 0 0 0 0850023543 1963 1.021400+3 0.000000+0 0 0 1 127850023543 1964 127 2 0 0 0 0850023543 1965 1.021400+3 0.000000+0 1.021400+3 4.159270+4 1.208240+3 3.406240+4850023543 1966 1.370480+3 2.932370+4 1.506300+3 2.620760+4 1.735690+3 2.214310+4850023543 1967 2.000000+3 1.870900+4 2.213360+3 1.620680+4 2.576840+3 1.306670+4850023543 1968 3.000000+3 1.053500+4 3.286150+3 9.128451+3 3.767340+3 7.362760+3850023543 1969 4.319000+3 5.938600+3 4.688950+3 5.169230+3 5.304120+3 4.197970+3850023543 1970 6.000000+3 3.409200+3 6.395620+3 3.037350+3 7.151741+3 2.481530+3850023543 1971 7.776940+3 2.132500+3 8.281451+3 1.903330+3 9.100250+3 1.604920+3850023543 1972 1.000000+4 1.353300+3 1.073300+4 1.179620+3 1.141830+4 1.046040+3850023543 1973 1.272450+4 8.476330+2 1.380130+4 7.239400+2 1.466830+4 6.431660+2850023543 1974 1.607200+4 5.385860+2 1.761000+4 4.510100+2 1.882260+4 3.928680+2850023543 1975 1.995190+4 3.481770+2 2.209370+4 2.818500+2 2.384960+4 2.405360+2850023543 1976 2.525760+4 2.135760+2 2.752690+4 1.786950+2 3.000000+4 1.495100+2850023543 1977 3.197810+4 1.299160+2 3.381560+4 1.148890+2 3.728900+4 9.265300+1850023543 1978 4.012620+4 7.884870+1 4.239490+4 6.986280+1 4.604070+4 5.826710+1850023543 1979 5.000000+4 4.859600+1 5.430560+4 4.005810+1 5.837600+4 3.382740+1850023543 1980 6.218720+4 2.917590+1 6.572550+4 2.563370+1 7.240880+4 2.043800+1850023543 1981 7.786370+4 1.724480+1 8.222279+4 1.518180+1 8.922340+4 1.254070+1850023543 1982 9.682000+4 1.035900+1 1.060100+5 8.288360+0 1.147650+5 6.819080+0850023543 1983 1.230160+5 5.748780+0 1.307210+5 4.951010+0 1.378570+5 4.344330+0850023543 1984 1.512970+5 3.456000+0 1.622300+5 2.911130+0 1.709450+5 2.559630+0850023543 1985 1.849020+5 2.110330+0 2.000000+5 1.739900+0 2.181020+5 1.407430+0850023543 1986 2.352790+5 1.169080+0 2.514160+5 9.938740-1 2.664410+5 8.622510-1850023543 1987 2.803230+5 7.614620-1 3.063790+5 6.125950-1 3.274990+5 5.203760-1850023543 1988 3.442880+5 4.604430-1 3.711000+5 3.832330-1 4.000000+5 3.189700-1850023543 1989 4.426730+5 2.524820-1 4.776390+5 2.118810-1 5.056650+5 1.857750-1850023543 1990 5.508170+5 1.525210-1 6.000000+5 1.252200-1 6.447420+5 1.071500-1850023543 1991 7.181880+5 8.481380-2 8.000000+5 6.713400-2 8.944270+5 5.337880-2850023543 1992 1.000000+6 4.244200-2 1.022000+6 4.065500-2 1.130270+6 3.339080-2850023543 1993 1.250000+6 2.742460-2 1.369310+6 2.313710-2 1.500000+6 1.951990-2850023543 1994 1.611850+6 1.721270-2 1.795470+6 1.425310-2 2.000000+6 1.180230-2850023543 1995 2.044000+6 1.137930-2 2.249780+6 9.762610-3 2.417610+6 8.702700-3850023543 1996 2.693110+6 7.324630-3 3.000000+6 6.164780-3 3.464100+6 4.984910-3850023543 1997 4.000000+6 4.030860-3 4.472140+6 3.449520-3 5.000000+6 2.952020-3850023543 1998 5.477230+6 2.612360-3 6.000000+6 2.311790-3 7.000000+6 1.892310-3850023543 1999 8.000000+6 1.597970-3 9.000000+6 1.380120-3 1.000000+7 1.213830-3850023543 2000 1.100000+7 1.082310-3 1.200000+7 9.762830-4 1.300000+7 8.887940-4850023543 2001 1.400000+7 8.152100-4 1.500000+7 7.526360-4 1.600000+7 6.993310-4850023543 2002 1.800000+7 6.118420-4 2.000000+7 5.436470-4 2.200000+7 4.890100-4850023543 2003 2.400000+7 4.443390-4 2.600000+7 4.070840-4 2.800000+7 3.755650-4850023543 2004 3.000000+7 3.485070-4 3.464100+7 2.988150-4 4.000000+7 2.562090-4850023543 2005 4.472140+7 2.277760-4 5.000000+7 2.024990-4 6.000000+7 1.673300-4850023543 2006 6.928200+7 1.441740-4 8.000000+7 1.242230-4 8.944271+7 1.107450-4850023543 2007 1.000000+8 9.872910-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0850023543 2008 850023 0 2009 8.500000+4 2.081960+2 0 0 0 0850023544 2010 8.906500+2 0.000000+0 0 0 1 133850023544 2011 133 2 0 0 0 0850023544 2012 8.906500+2 0.000000+0 8.906500+2 3.555350+4 9.112900+2 3.331510+4850023544 2013 1.101190+3 3.239280+4 1.266730+3 3.038160+4 1.500000+3 2.763700+4850023544 2014 1.732050+3 2.436540+4 2.000000+3 2.148100+4 2.368540+3 1.759070+4850023544 2015 2.805000+3 1.440500+4 3.098180+3 1.254150+4 3.422000+3 1.091900+4850023544 2016 3.844430+3 9.129210+3 4.319000+3 7.632800+3 4.688950+3 6.634451+3850023544 2017 5.304120+3 5.376330+3 6.000000+3 4.356800+3 6.447420+3 3.807690+3850023544 2018 7.181880+3 3.111010+3 8.000000+3 2.541800+3 8.944270+3 2.033280+3850023544 2019 1.000000+4 1.626500+3 1.091620+4 1.349010+3 1.165810+4 1.172430+3850023544 2020 1.286640+4 9.499410+2 1.420000+4 7.696700+2 1.546940+4 6.328480+2850023544 2021 1.649540+4 5.464440+2 1.816340+4 4.384440+2 2.000000+4 3.517900+2850023544 2022 2.103980+4 3.108780+2 2.299120+4 2.503960+2 2.457260+4 2.128900+2850023544 2023 2.582970+4 1.884960+2 2.783680+4 1.570440+2 3.000000+4 1.308400+2850023544 2024 3.223710+4 1.087870+2 3.402370+4 9.472230+1 3.689100+4 7.696030+1850023544 2025 4.000000+4 6.252900+1 4.207960+4 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* JEF-2 *8600 1451 11 * DATA TAKEN FROM EPDL *8600 1451 12 ******************************************************************8600 1451 13 =================================================================8600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8600 1451 15 ENDF/B-VI FORMAT 8600 1451 16 =================================================================8600 1451 17 CONTENTS 8600 1451 18 =================================================================8600 1451 19 MF/MT DESCRIPTION 8600 1451 20 =================================================================8600 1451 21 23/501 TOTAL CROSS SECTION 8600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 52 =================================================================8600 1451 53 27/502 COHERENT SCATTERING FORM FACTORS 8600 1451 54 27/504 INCOHERENT SCATTERING FUNCTIONS 8600 1451 55 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8600 1451 56 27/506 COHERENT REAL SCATTERING FACTOR 8600 1451 57 =================================================================8600 1451 58 WARNING 8600 1451 59 =================================================================8600 1451 60 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8600 1451 61 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8600 1451 62 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8600 1451 63 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8600 1451 64 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8600 1451 65 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8600 1451 66 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8600 1451 67 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8600 1451 68 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8600 1451 69 =================================================================8600 1451 70 DEFINITION OF NEW TYPES OF DATA 8600 1451 71 =================================================================8600 1451 72 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8600 1451 73 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8600 1451 74 8600 1451 75 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8600 1451 76 C2 FIELDS ARE, 8600 1451 77 8600 1451 78 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8600 1451 79 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8600 1451 80 8600 1451 81 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8600 1451 82 8600 1451 83 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8600 1451 84 8600 1451 85 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8600 1451 86 T = THE THOMSON CROSS SECTION 8600 1451 87 MU = THE COSINE OF THE SCATTERING ANGLE 8600 1451 88 FF(M) = THE ATOMIC FORM FACTOR 8600 1451 89 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8600 1451 90 F1(E) = THE REAL SCATTERING FACTOR 8600 1451 91 F2(E) = THE IMAGINARY SCATTERING FACTOR 8600 1451 92 8600 1451 93 F1(E) AND F2(E) ARE ISOTROPIC. 8600 1451 94 8600 1451 95 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8600 1451 96 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8600 1451 97 =================================================================8600 1451 98 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8600 1451 99 =================================================================8600 1451 100 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8600 1451 101 HERE - 10 EV TO 100 MEV 8600 1451 102 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8600 1451 103 - FLUORESCENCE AND ELECTRON SPECTRA 8600 1451 104 HERE - PHOTON INTERACTION 8600 1451 105 - AVERAGE FLUORESCENCE YIELD 8600 1451 106 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8600 1451 107 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8600 1451 108 HERE - NO SECONDARY ENERGY DATA 8600 1451 109 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8600 1451 110 INTERPOLABLE - SUMMATION CROSS SECTIONS 8600 1451 111 (E.G., TOTAL) ARE NOT INCLUDED 8600 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8600 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8600 1451 114 - SCATTERING FACTORS LINEARLY INTERPOLABLE8600 1451 115 (SINCE THEY CAN BE NEGATIVE). 8600 1451 116 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8600 1451 117 ORDER TO ALLOW CROSS SECTIONS DEFINED 8600 1451 118 BY SUMMATION (E.G., TOTAL) TO BE 8600 1451 119 CONSISTENTLY DEFINED AT ALL ENERGIES. 8600 1451 120 - FORM FACTORS ARE LOG X VS. LOG Y 8600 1451 121 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8600 1451 122 - SCATTERING FACTORS LINEARLY INTERPOLABLE8600 1451 123 =================================================================8600 1451 124 REFERENCES 8600 1451 125 =================================================================8600 1451 126 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8600 1451 127 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8600 1451 128 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8600 1451 129 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8600 1451 130 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8600 1451 131 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8600 1451 132 8600 1451 133 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8600 1451 134 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8600 1451 135 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8600 1451 136 OF THE DATA, ETC. 8600 1451 137 =================================================================8600 1451 138 HISTORY 8600 1451 139 =================================================================8600 1451 140 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8600 1451 141 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8600 1451 142 CROSS SECTIONS. 8600 1451 143 =================================================================8600 1451 144 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8600 1451 145 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8600 1451 146 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8600 1451 147 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8600 1451 148 *RECONSTRUCTED MT NUMBERS 8600 1451 149 516 =+(515,515)+(517,517) 8600 1451 150 522 =+(534,572) 8600 1451 151 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8600 1451 152 1 451 188 18600 1451 153 23 501 590 18600 1451 154 23 502 163 18600 1451 155 23 504 31 18600 1451 156 23 515 30 18600 1451 157 23 516 59 18600 1451 158 23 517 42 18600 1451 159 23 522 394 28600 1451 160 23 534 30 28600 1451 161 23 535 36 28600 1451 162 23 536 40 28600 1451 163 23 537 42 28600 1451 164 23 538 40 28600 1451 165 23 539 44 28600 1451 166 23 540 46 28600 1451 167 23 541 55 28600 1451 168 23 542 56 28600 1451 169 23 543 45 28600 1451 170 23 544 48 28600 1451 171 23 545 51 28600 1451 172 23 546 62 28600 1451 173 23 547 61 28600 1451 174 23 548 76 28600 1451 175 23 549 78 28600 1451 176 23 550 51 28600 1451 177 23 551 55 28600 1451 178 23 552 56 28600 1451 179 23 553 78 28600 1451 180 23 554 79 28600 1451 181 23 559 58 28600 1451 182 23 560 66 28600 1451 183 23 561 68 28600 1451 184 27 502 48 18600 1451 185 27 504 46 18600 1451 186 27 505 142 18600 1451 187 27 506 142 18600 1451 188 8600 1 0 189 8600 0 0 190 8.600000+4 2.201110+2 0 0 0 0860023501 191 0.000000+0 0.000000+0 0 0 1 1759860023501 192 1759 2 0 0 0 0860023501 193 1.000000+1 8.016150+7 1.025660+1 7.631830+7 1.051980+1 7.237630+7860023501 194 1.102370+1 6.482930+7 1.114940+1 6.344810+7 1.154780+1 5.907060+7860023501 195 1.181670+1 5.611590+7 1.215220+1 5.242950+7 1.236830+1 5.014610+7860023501 196 1.294560+1 4.404590+7 1.302480+1 4.320900+7 1.321580+1 4.165710+7860023501 197 1.341580+1 4.003200+7 1.349010+1 3.942820+7 1.353510+1 3.906260+7860023501 198 1.357780+1 3.871560+7 1.363360+1 3.826220+7 1.368540+1 3.784130+7860023501 199 1.369000+1 3.780400+7 1.369000+1 7.353520+7 1.373740+1 7.301650+7860023501 200 1.380350+1 7.229320+7 1.383300+1 7.197040+7 1.390480+1 7.118470+7860023501 201 1.396000+1 7.058060+7 1.397330+1 7.044980+7 1.466310+1 6.366570+7860023501 202 1.499770+1 6.037490+7 1.500000+1 6.035230+7 1.506850+1 5.971370+7860023501 203 1.608610+1 5.022780+7 1.611850+1 4.996960+7 1.633380+1 4.814160+7860023501 204 1.688590+1 4.345410+7 1.689750+1 4.335560+7 1.710070+1 4.177710+7860023501 205 1.771420+1 3.756650+7 1.775310+1 3.730330+7 1.804090+1 3.535620+7860023501 206 1.860590+1 3.188740+7 1.887140+1 3.042860+7 1.890590+1 3.023900+7860023501 207 1.907670+1 2.937670+7 1.942300+1 2.762820+7 1.969660+1 2.637470+7860023501 208 2.016730+1 2.443390+7 2.027620+1 2.403820+7 2.094430+1 2.161080+7860023501 209 2.116100+1 2.082340+7 2.153900+1 1.960010+7 2.170650+1 1.913100+7860023501 210 2.233020+1 1.738400+7 2.262870+1 1.661780+7 2.311440+1 1.554500+7860023501 211 2.324930+1 1.524700+7 2.425540+1 1.322750+7 2.436760+1 1.300230+7860023501 212 2.469940+1 1.244340+7 2.471850+1 1.241480+7 2.519040+1 1.171010+7860023501 213 2.532140+1 1.151440+7 2.543010+1 1.135210+7 2.546440+1 1.130090+7860023501 214 2.551010+1 1.123260+7 2.561450+1 1.107670+7 2.572000+1 1.091920+7860023501 215 2.572000+1 1.185910+7 2.572590+1 1.184950+7 2.583780+1 1.166860+7860023501 216 2.593920+1 1.150460+7 2.603440+1 1.135070+7 2.616770+1 1.113510+7860023501 217 2.624000+1 1.101820+7 2.633260+1 1.090710+7 2.693640+1 1.018230+7860023501 218 2.804790+1 8.873770+6 2.805710+1 8.863100+6 2.905800+1 7.965670+6860023501 219 2.935080+1 7.708200+6 3.000000+1 7.137330+6 3.021280+1 6.999070+6860023501 220 3.091410+1 6.543420+6 3.223710+1 5.703960+6 3.238350+1 5.630370+6860023501 221 3.298990+1 5.331030+6 3.353120+1 5.063830+6 3.402370+1 4.824610+6860023501 222 3.471900+1 4.553010+6 3.508870+1 4.408600+6 3.532950+1 4.314540+6860023501 223 3.542840+1 4.276660+6 3.689100+1 3.760300+6 3.722420+1 3.660790+6860023501 224 3.764490+1 3.537950+6 3.783570+1 3.487730+6 3.858710+1 3.289960+6860023501 225 3.880460+1 3.233360+6 3.970080+1 3.000160+6 3.999640+1 2.923240+6860023501 226 4.000000+1 2.922300+6 4.061780+1 2.802730+6 4.137550+1 2.656090+6860023501 227 4.177100+1 2.579540+6 4.195300+1 2.548510+6 4.229490+1 2.490210+6860023501 228 4.283440+1 2.399630+6 4.289120+1 2.390090+6 4.373430+1 2.261950+6860023501 229 4.451300+1 2.143590+6 4.472140+1 2.111910+6 4.485060+1 2.092750+6860023501 230 4.519590+1 2.041550+6 4.530550+1 2.026740+6 4.810290+1 1.709410+6860023501 231 4.864280+1 1.648950+6 4.888720+1 1.625080+6 4.898240+1 1.616920+6860023501 232 4.944260+1 1.577480+6 4.957900+1 1.565790+6 4.979070+1 1.547650+6860023501 233 5.005330+1 1.525150+6 5.044980+1 1.491170+6 5.084950+1 1.456920+6860023501 234 5.118380+1 1.428270+6 5.142190+1 1.407870+6 5.162990+1 1.390050+6860023501 235 5.174000+1 1.380610+6 5.176400+1 1.378610+6 5.184000+1 1.373000+6860023501 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1.400000+7 1.721880-5860023542 1897 1.500000+7 1.589340-5 1.600000+7 1.476560-5 1.800000+7 1.291700-5860023542 1898 2.000000+7 1.147760-5 2.200000+7 1.032430-5 2.400000+7 9.380220-6860023542 1899 2.600000+7 8.593110-6 2.800000+7 7.928080-6 3.000000+7 7.357220-6860023542 1900 3.464100+7 6.307450-6 4.000000+7 5.407460-6 4.472140+7 4.807370-6860023542 1901 5.000000+7 4.273880-6 6.000000+7 3.532120-6 6.928200+7 3.043090-6860023542 1902 8.000000+7 2.621760-6 8.944271+7 2.337160-6 1.000000+8 2.083460-6860023542 1903 860023 0 1904 8.600000+4 2.201110+2 0 0 0 0860023543 1905 1.072700+3 0.000000+0 0 0 1 126860023543 1906 126 2 0 0 0 0860023543 1907 1.072700+3 0.000000+0 1.072700+3 3.960600+4 1.253480+3 3.289120+4860023543 1908 1.408780+3 2.861330+4 1.537770+3 2.577420+4 1.753720+3 2.203480+4860023543 1909 2.000000+3 1.883800+4 2.196380+3 1.653100+4 2.527700+3 1.358930+4860023543 1910 2.909000+3 1.117100+4 3.241160+3 9.438411+3 3.514930+3 8.317710+3860023543 1911 3.969570+3 6.881150+3 4.483000+3 5.692700+3 4.821860+3 5.035680+3860023543 1912 5.378770+3 4.189550+3 6.000000+3 3.485600+3 6.395620+3 3.107450+3860023543 1913 7.151741+3 2.541720+3 7.776940+3 2.186100+3 8.818701+3 1.743740+3860023543 1914 1.000000+4 1.390900+3 1.077580+4 1.203370+3 1.150380+4 1.060150+3860023543 1915 1.289820+4 8.492950+2 1.405390+4 7.191630+2 1.498810+4 6.348250+2860023543 1916 1.650710+4 5.264940+2 1.818000+4 4.366500+2 1.935460+4 3.836260+2860023543 1917 2.159580+4 3.058540+2 2.344540+4 2.580590+2 2.493580+4 2.271810+2860023543 1918 2.735090+4 1.876510+2 3.000000+4 1.550000+2 3.197810+4 1.347520+2860023543 1919 3.381560+4 1.192170+2 3.728900+4 9.621540+1 4.012620+4 8.192640+1860023543 1920 4.239490+4 7.262030+1 4.604070+4 6.060520+1 5.000000+4 5.057800+1860023543 1921 5.302550+4 4.415950+1 5.582270+4 3.921520+1 6.107740+4 3.185710+1860023543 1922 6.534060+4 2.725960+1 7.229970+4 2.157700+1 8.000000+4 1.707900+1860023543 1923 8.653970+4 1.412110+1 9.269890+4 1.195630+1 9.844679+4 1.033620+1860023543 1924 1.037680+5 9.099770+0 1.137810+5 7.281150+0 1.219200+5 6.159950+0860023543 1925 1.284040+5 5.433880+0 1.387830+5 4.502040+0 1.500000+5 3.730000+0860023543 1926 1.635760+5 3.012190+0 1.764600+5 2.498380+0 1.885620+5 2.121230+0860023543 1927 1.998310+5 1.838230+0 2.102420+5 1.621760+0 2.297840+5 1.302460+0860023543 1928 2.456240+5 1.104960+0 2.582160+5 9.767460-1 2.783250+5 8.117760-1860023543 1929 3.000000+5 6.746700-1 3.197810+5 5.797540-1 3.381560+5 5.077230-1860023543 1930 3.728900+5 4.025290-1 4.012620+5 3.382010-1 4.239490+5 2.967970-1860023543 1931 4.604070+5 2.439970-1 5.000000+5 2.005900-1 5.477230+5 1.632490-1860023543 1932 6.000000+5 1.328600-1 6.447420+5 1.137220-1 7.181880+5 9.005720-2860023543 1933 8.000000+5 7.131700-2 8.944270+5 5.671960-2 1.000000+6 4.511000-2860023543 1934 1.022000+6 4.320980-2 1.130270+6 3.548560-2 1.250000+6 2.914220-2860023543 1935 1.369310+6 2.459110-2 1.500000+6 2.075080-2 1.611850+6 1.829760-2860023543 1936 1.795470+6 1.515080-2 2.000000+6 1.254510-2 2.044000+6 1.208950-2860023543 1937 2.249780+6 1.037090-2 2.417610+6 9.244300-3 2.693110+6 7.779630-3860023543 1938 3.000000+6 6.547030-3 3.464100+6 5.294120-3 4.000000+6 4.280980-3860023543 1939 4.472140+6 3.663170-3 5.000000+6 3.134520-3 5.477230+6 2.773530-3860023543 1940 6.000000+6 2.454110-3 7.000000+6 2.008500-3 8.000000+6 1.695450-3860023543 1941 9.000000+6 1.464760-3 1.000000+7 1.287800-3 1.100000+7 1.148210-3860023543 1942 1.200000+7 1.035490-3 1.300000+7 9.426320-4 1.400000+7 8.649560-4860023543 1943 1.500000+7 7.983760-4 1.600000+7 7.417240-4 1.800000+7 6.488630-4860023543 1944 2.000000+7 5.765590-4 2.200000+7 5.186230-4 2.400000+7 4.711990-4860023543 1945 2.600000+7 4.316600-4 2.800000+7 3.982530-4 3.000000+7 3.695770-4860023543 1946 3.464100+7 3.168440-4 4.000000+7 2.716350-4 4.472140+7 2.414900-4860023543 1947 5.000000+7 2.146910-4 6.000000+7 1.774300-4 6.928200+7 1.528640-4860023543 1948 8.000000+7 1.317000-4 8.944271+7 1.174040-4 1.000000+8 1.046590-4860023543 1949 860023 0 1950 8.600000+4 2.201110+2 0 0 0 0860023544 1951 9.385100+2 0.000000+0 0 0 1 133860023544 1952 133 2 0 0 0 0860023544 1953 9.385100+2 0.000000+0 9.385100+2 3.213480+4 1.205290+3 3.040280+4860023544 1954 1.500000+3 2.715200+4 1.732050+3 2.410000+4 2.000000+3 2.139100+4860023544 1955 2.272630+3 1.866810+4 2.582420+3 1.629180+4 2.794680+3 1.460950+4860023544 1956 3.146230+3 1.240610+4 3.542000+3 1.053500+4 3.860810+3 9.202701+3860023544 1957 4.393640+3 7.513400+3 5.000000+3 6.134200+3 5.477230+3 5.241730+3860023544 1958 6.000000+3 4.479100+3 6.447420+3 3.920610+3 7.181880+3 3.210680+3860023544 1959 8.000000+3 2.629300+3 8.944270+3 2.108090+3 1.000000+4 1.690200+3860023544 1960 1.106680+4 1.362310+3 1.194100+4 1.158850+3 1.264160+4 1.026460+3860023544 1961 1.377040+4 8.556830+2 1.500000+4 7.133200+2 1.611850+4 6.054460+2860023544 1962 1.701190+4 5.353880+2 1.844550+4 4.452030+2 2.000000+4 3.702100+2860023544 1963 2.103980+4 3.274460+2 2.299120+4 2.641500+2 2.457260+4 2.248450+2860023544 1964 2.582970+4 1.992550+2 2.783680+4 1.662250+2 3.000000+4 1.386700+2860023544 1965 3.223710+4 1.154370+2 3.402370+4 1.006050+2 3.689100+4 8.185150+1860023544 1966 4.000000+4 6.659400+1 4.207960+4 5.820220+1 4.598240+4 4.598040+1860023544 1967 4.914520+4 3.852980+1 5.165930+4 3.374550+1 5.567370+4 2.765940+1860023544 1968 6.000000+4 2.267100+1 6.395620+4 1.900360+1 6.763120+4 1.628470+1860023544 1969 7.101970+4 1.422670+1 7.736310+4 1.123120+1 8.248979+4 9.406240+0860023544 1970 8.655660+4 8.234910+0 9.303579+4 6.745640+0 1.000000+5 5.525700+0860023544 1971 1.044270+5 4.890920+0 1.132640+5 3.890630+0 1.216070+5 3.184720+0860023544 1972 1.294100+5 2.672960+0 1.366470+5 2.293090+0 1.433110+5 2.005270+0860023544 1973 1.557640+5 1.585760+0 1.658090+5 1.329800+0 1.737650+5 1.165330+0860023544 1974 1.864220+5 9.559610-1 2.000000+5 7.842100-1 2.103980+5 6.816350-1860023544 1975 2.199390+5 6.029510-1 2.376880+5 4.864740-1 2.519330+5 4.141350-1860023544 1976 2.749180+5 3.252870-1 3.000000+5 2.555000-1 3.223710+5 2.109470-1860023544 1977 3.402370+5 1.827100-1 3.689100+5 1.472800-1 4.000000+5 1.187200-1860023544 1978 4.207960+5 1.044720-1 4.598240+5 8.352710-2 4.914520+5 7.062360-2860023544 1979 5.165930+5 6.227180-2 5.567370+5 5.155890-2 6.000000+5 4.268900-2860023544 1980 6.447420+5 3.608080-2 6.804750+5 3.180510-2 7.378210+5 2.632250-2860023544 1981 8.000000+5 2.178500-2 8.458970+5 1.929350-2 9.197270+5 1.608010-2860023544 1982 1.000000+6 1.340200-2 1.022000+6 1.281630-2 1.130270+6 1.051350-2860023544 1983 1.250000+6 8.624380-3 1.369310+6 7.291710-3 1.500000+6 6.164970-3860023544 1984 1.611850+6 5.436140-3 1.795470+6 4.501220-3 2.000000+6 3.727090-3860023544 1985 2.044000+6 3.591750-3 2.249780+6 3.081170-3 2.417610+6 2.746450-3860023544 1986 2.693110+6 2.311300-3 3.000000+6 1.945100-3 3.464100+6 1.572860-3860023544 1987 4.000000+6 1.271860-3 4.472140+6 1.088310-3 5.000000+6 9.312520-4860023544 1988 5.477230+6 8.240040-4 6.000000+6 7.291080-4 7.000000+6 5.967160-4860023544 1989 8.000000+6 5.037120-4 9.000000+6 4.351740-4 1.000000+7 3.825990-4860023544 1990 1.100000+7 3.411290-4 1.200000+7 3.076410-4 1.300000+7 2.800520-4860023544 1991 1.400000+7 2.569750-4 1.500000+7 2.371940-4 1.600000+7 2.203630-4860023544 1992 1.800000+7 1.927750-4 2.000000+7 1.712930-4 2.200000+7 1.540810-4860023544 1993 2.400000+7 1.399910-4 2.600000+7 1.282450-4 2.800000+7 1.183200-4860023544 1994 3.000000+7 1.098000-4 3.464100+7 9.413310-5 4.000000+7 8.070160-5860023544 1995 4.472140+7 7.174580-5 5.000000+7 6.378390-5 6.000000+7 5.271370-5860023544 1996 6.928200+7 4.541540-5 8.000000+7 3.912750-5 8.944271+7 3.488010-5860023544 1997 1.000000+8 3.109380-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0860023544 1998 860023 0 1999 8.600000+4 2.201110+2 0 0 0 0860023545 2000 7.793900+2 0.000000+0 0 0 1 142860023545 2001 142 2 0 0 0 0860023545 2002 7.793900+2 0.000000+0 7.793900+2 1.989500+5 8.000000+2 1.797340+5860023545 2003 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7.101110-2 3.369370+4 7.614060-2860027506 3196 3.403270+4 7.742000-2 3.477990+4 8.366040-2 3.488080+4 8.496670-2860027506 3197 3.606790+4 9.083070-2 3.694500+4 9.292500-2 3.762780+4 8.312620-2860027506 3198 3.869770+4 7.119850-2 4.049860+4 5.401020-2 4.059570+4 5.302890-2860027506 3199 4.107990+4 4.511760-2 4.148650+4 3.928980-2 4.185870+4 3.230900-2860027506 3200 4.239490+4 1.481030-2 4.287190+4-3.594220-3 4.289930+4-4.644650-3860027506 3201 4.322990+4-1.411200-2 4.395060+4-3.778050-2 4.506790+4-7.249460-2860027506 3202 4.626930+4-1.124920-1 4.696550+4-1.390250-1 4.753750+4-1.674690-1860027506 3203 4.910360+4-2.282180-1 5.104460+4-2.957220-1 5.186600+4-3.304510-1860027506 3204 5.268890+4-3.698570-1 5.519170+4-4.711170-1 5.724150+4-5.662740-1860027506 3205 5.881980+4-6.436810-1 6.382870+4-8.643020-1 6.648960+4-9.931460-1860027506 3206 7.231610+4-1.282060+0 7.831840+4-1.640380+0 8.532240+4-2.177190+0860027506 3207 9.008510+4-2.741240+0 9.244070+4-3.152330+0 9.498360+4-3.849480+0860027506 3208 9.592400+4-4.265730+0 9.658960+4-4.694750+0 9.696400+4-5.024740+0860027506 3209 9.722750+4-5.305520+0 9.741070+4-5.523560+0 9.753370+4-5.676400+0860027506 3210 9.764660+4-5.821050+0 9.778740+4-6.000920+0 9.795479+4-6.206080+0860027506 3211 9.814440+4-6.415320+0 9.835740+4-6.600670+0 9.875020+4-6.726080+0860027506 3212 9.914310+4-6.566220+0 9.952600+4-6.177020+0 9.990290+4-5.684100+0860027506 3213 1.002740+5-5.195440+0 1.006410+5-4.757750+0 1.013630+5-4.152670+0860027506 3214 1.027620+5-3.444160+0 1.040730+5-2.983830+0 1.065700+5-2.348320+0860027506 3215 1.087560+5-1.932060+0 1.124790+5-1.384350+0 1.152730+5-1.061640+0860027506 3216 1.195090+5-6.761940-1 1.216270+5-5.251400-1 1.237450+5-4.104320-1860027506 3217 1.276540+5-2.368770-1 1.296090+5-1.638660-1 1.338750+5-7.620130-2860027506 3218 1.374000+5-2.234580-3 1.380800+5 1.209470-2 1.416630+5 7.470190-2860027506 3219 1.479080+5 1.876380-1 1.495460+5 2.094890-1 1.527440+5 2.304400-1860027506 3220 1.583810+5 2.893100-1 1.609340+5 3.129050-1 1.623000+5 3.226030-1860027506 3221 1.655920+5 3.316910-1 1.730830+5 3.723160-1 1.747850+5 3.768360-1860027506 3222 1.768970+5 3.751110-1 1.887920+5 4.151840-1 1.911020+5 4.153760-1860027506 3223 1.930920+5 4.105350-1 2.038380+5 4.208280-1 2.052230+5 4.197760-1860027506 3224 2.066300+5 4.138440-1 2.112330+5 4.128840-1 2.255620+5 4.212430-1860027506 3225 2.412810+5 3.917970-1 2.577370+5 3.808710-1 2.631750+5 3.696720-1860027506 3226 2.866090+5 3.383980-1 3.167630+5 2.947380-1 3.357880+5 2.707300-1860027506 3227 3.651980+5 2.392660-1 3.895200+5 2.154190-1 4.239490+5 1.831720-1860027506 3228 4.500100+5 1.601290-1 4.550780+5 1.555820-1 5.038660+5 1.267640-1860027506 3229 5.385080+5 1.075290-1 5.869880+5 8.557170-2 6.292820+5 6.759960-2860027506 3230 6.725030+5 5.518810-2 7.378210+5 3.850900-2 8.000000+5 2.526350-2860027506 3231 8.472200+5 1.741670-2 8.944270+5 1.117310-2 9.457420+5 5.600250-3860027506 3232 9.821160+5 1.819040-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0860027506 3233 860027 0 3234 8600 0 0 3235 0 0 0 3236 8.700000+4 2.210840+2 -1 0 2 28700 1451 1 0.000000+0 0.000000+0 0 0 0 68700 1451 2 0.000000+0 0.000000+0 0 0 3 28700 1451 3 0.000000+0 0.000000+0 0 0 149 378700 1451 4 87-FR LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8700 1451 6 ----JEF-2 MATERIAL 8700 REVISION 0 8700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8700 1451 8 ------ENDF-6 FORMAT 8700 1451 9 ******************************************************************8700 1451 10 * JEF-2 *8700 1451 11 * DATA TAKEN FROM EPDL *8700 1451 12 ******************************************************************8700 1451 13 =================================================================8700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8700 1451 15 ENDF/B-VI FORMAT 8700 1451 16 =================================================================8700 1451 17 CONTENTS 8700 1451 18 =================================================================8700 1451 19 MF/MT DESCRIPTION 8700 1451 20 =================================================================8700 1451 21 23/501 TOTAL CROSS SECTION 8700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 53 =================================================================8700 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 8700 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 8700 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8700 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 8700 1451 58 =================================================================8700 1451 59 WARNING 8700 1451 60 =================================================================8700 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8700 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8700 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8700 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8700 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8700 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8700 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8700 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8700 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8700 1451 70 =================================================================8700 1451 71 DEFINITION OF NEW TYPES OF DATA 8700 1451 72 =================================================================8700 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8700 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8700 1451 75 8700 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8700 1451 77 C2 FIELDS ARE, 8700 1451 78 8700 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8700 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8700 1451 81 8700 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8700 1451 83 8700 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8700 1451 85 8700 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8700 1451 87 T = THE THOMSON CROSS SECTION 8700 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 8700 1451 89 FF(M) = THE ATOMIC FORM FACTOR 8700 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8700 1451 91 F1(E) = THE REAL SCATTERING FACTOR 8700 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 8700 1451 93 8700 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 8700 1451 95 8700 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8700 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8700 1451 98 =================================================================8700 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8700 1451 100 =================================================================8700 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8700 1451 102 HERE - 10 EV TO 100 MEV 8700 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8700 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 8700 1451 105 HERE - PHOTON INTERACTION 8700 1451 106 - AVERAGE FLUORESCENCE YIELD 8700 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8700 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8700 1451 109 HERE - NO SECONDARY ENERGY DATA 8700 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8700 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 8700 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 8700 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 8700 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8700 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE8700 1451 116 (SINCE THEY CAN BE NEGATIVE). 8700 1451 117 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8700 1451 118 ORDER TO ALLOW CROSS SECTIONS DEFINED 8700 1451 119 BY SUMMATION (E.G., TOTAL) TO BE 8700 1451 120 CONSISTENTLY DEFINED AT ALL ENERGIES. 8700 1451 121 - FORM FACTORS ARE LOG X VS. LOG Y 8700 1451 122 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8700 1451 123 - SCATTERING FACTORS LINEARLY INTERPOLABLE8700 1451 124 =================================================================8700 1451 125 REFERENCES 8700 1451 126 =================================================================8700 1451 127 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8700 1451 128 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8700 1451 129 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8700 1451 130 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8700 1451 131 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8700 1451 132 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8700 1451 133 8700 1451 134 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8700 1451 135 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8700 1451 136 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8700 1451 137 OF THE DATA, ETC. 8700 1451 138 =================================================================8700 1451 139 HISTORY 8700 1451 140 =================================================================8700 1451 141 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8700 1451 142 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8700 1451 143 CROSS SECTIONS. 8700 1451 144 =================================================================8700 1451 145 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8700 1451 146 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8700 1451 147 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8700 1451 148 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8700 1451 149 *RECONSTRUCTED MT NUMBERS 8700 1451 150 516 =+(515,515)+(517,517) 8700 1451 151 522 =+(534,572) 8700 1451 152 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8700 1451 153 1 451 190 18700 1451 154 23 501 649 18700 1451 155 23 502 183 18700 1451 156 23 504 30 18700 1451 157 23 515 30 18700 1451 158 23 516 59 18700 1451 159 23 517 42 18700 1451 160 23 522 435 28700 1451 161 23 534 29 28700 1451 162 23 535 36 28700 1451 163 23 536 39 28700 1451 164 23 537 42 28700 1451 165 23 538 40 28700 1451 166 23 539 44 28700 1451 167 23 540 46 28700 1451 168 23 541 54 28700 1451 169 23 542 56 28700 1451 170 23 543 45 28700 1451 171 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7.319950+0870023541 1933 7.450910+4 6.248450+0 7.730070+4 5.440380+0 8.243990+4 4.269510+0870023541 1934 8.651729+4 3.559920+0 8.970720+4 3.106250+0 9.471390+4 2.531810+0870023541 1935 1.000000+5 2.063600+0 1.051990+5 1.707020+0 1.099690+5 1.445930+0870023541 1936 1.143200+5 1.250460+0 1.182690+5 1.101230+0 1.255090+5 8.816340-1870023541 1937 1.312290+5 7.461850-1 1.403010+5 5.810110-1 1.500000+5 4.524000-1870023541 1938 1.554920+5 3.963890-1 1.655920+5 3.145360-1 1.735950+5 2.644420-1870023541 1939 1.798500+5 2.321810-1 1.896570+5 1.910160-1 2.000000+5 1.571500-1870023541 1940 2.103980+5 1.312700-1 2.199390+5 1.121470-1 2.286410+5 9.771330-2870023541 1941 2.447070+5 7.677970-2 2.574930+5 6.407910-2 2.675180+5 5.595240-2870023541 1942 2.832940+5 4.565330-2 3.000000+5 3.725000-2 3.223710+5 2.921430-2870023541 1943 3.402370+5 2.434710-2 3.542840+5 2.123670-2 3.764490+5 1.730000-2870023541 1944 4.000000+5 1.409300-2 4.229490+5 1.180470-2 4.410200+5 1.033590-2870023541 1945 4.695850+5 8.468000-3 5.000000+5 6.937700-3 5.233180+5 6.034320-3870023541 1946 5.603490+5 4.894940-3 6.000000+5 3.970700-3 6.447420+5 3.229840-3870023541 1947 6.804750+5 2.766410-3 7.378210+5 2.192910-3 8.000000+5 1.738300-3870023541 1948 8.458970+5 1.503940-3 9.197270+5 1.210290-3 1.000000+6 9.739700-4870023541 1949 1.022000+6 9.274370-4 1.130270+6 7.572910-4 1.250000+6 6.183590-4870023541 1950 1.369310+6 5.263270-4 1.500000+6 4.479930-4 1.611850+6 3.950100-4870023541 1951 1.795470+6 3.270500-4 2.000000+6 2.707820-4 2.044000+6 2.610900-4870023541 1952 2.249780+6 2.239440-4 2.417610+6 1.995950-4 2.693110+6 1.679450-4870023541 1953 3.000000+6 1.413140-4 3.464100+6 1.142460-4 4.000000+6 9.236260-5870023541 1954 4.472140+6 7.902050-5 5.000000+6 6.760570-5 5.477230+6 5.981600-5870023541 1955 6.000000+6 5.292390-5 7.000000+6 4.330360-5 8.000000+6 3.655500-5870023541 1956 9.000000+6 3.157730-5 1.000000+7 2.776020-5 1.100000+7 2.475690-5870023541 1957 1.200000+7 2.231590-5 1.300000+7 2.031760-5 1.400000+7 1.863050-5870023541 1958 1.500000+7 1.720660-5 1.600000+7 1.597410-5 1.800000+7 1.397580-5870023541 1959 2.000000+7 1.242030-5 2.200000+7 1.117230-5 2.400000+7 1.015040-5870023541 1960 2.600000+7 9.298480-6 2.800000+7 8.578150-6 3.000000+7 7.960720-6870023541 1961 3.464100+7 6.824930-6 4.000000+7 5.851190-6 4.472140+7 5.201250-6870023541 1962 5.000000+7 4.623510-6 6.000000+7 3.820620-6 6.928200+7 3.291610-6870023541 1963 8.000000+7 2.835850-6 8.944271+7 2.528420-6 1.000000+8 2.254320-6870023541 1964 870023 0 1965 8.700000+4 2.210840+2 0 0 0 0870023542 1966 2.999200+3 0.000000+0 0 0 1 157870023542 1967 157 2 0 0 0 0870023542 1968 2.999200+3 0.000000+0 2.999200+3 3.784740+5 3.084490+3 3.462560+5870023542 1969 3.098400+3 3.405000+5 3.161000+3 3.154300+5 3.406000+3 2.604360+5870023542 1970 3.670000+3 2.150300+5 3.964990+3 1.725330+5 4.201690+3 1.462690+5870023542 1971 4.388440+3 1.292300+5 4.684250+3 1.073200+5 5.000000+3 8.912400+4870023542 1972 5.233180+3 7.779740+4 5.603491+3 6.344840+4 6.000000+3 5.174600+4870023542 1973 6.447420+3 4.138600+4 6.804750+3 3.500140+4 7.085681+3 3.086810+4870023542 1974 7.528971+3 2.556500+4 8.000000+3 2.117300+4 8.458970+3 1.767490+4870023542 1975 8.820401+3 1.543610+4 9.391701+3 1.259820+4 1.000000+4 1.028200+4870023542 1976 1.053210+4 8.627840+3 1.102090+4 7.400290+3 1.146720+4 6.470340+3870023542 1977 1.229200+4 5.115210+3 1.294940+4 4.288610+3 1.346540+4 3.757560+3870023542 1978 1.427820+4 3.081700+3 1.514000+4 2.527400+3 1.623120+4 1.976520+3870023542 1979 1.710100+4 1.643690+3 1.778380+4 1.431400+3 1.885940+4 1.163240+3870023542 1980 2.000000+4 9.453200+2 2.103980+4 7.853390+2 2.199390+4 6.677300+2870023542 1981 2.286410+4 5.793640+2 2.447070+4 4.519240+2 2.574930+4 3.751030+2870023542 1982 2.675180+4 3.261860+2 2.832940+4 2.645060+2 3.000000+4 2.144900+2870023542 1983 3.197810+4 1.683640+2 3.381560+4 1.362180+2 3.550980+4 1.131680+2870023542 1984 3.706180+4 9.622230+1 3.847530+4 8.348990+1 4.107990+4 6.512700+1870023542 1985 4.314830+4 5.405750+1 4.476780+4 4.700860+1 4.731160+4 3.812060+1870023542 1986 5.000000+4 3.091300+1 5.221370+4 2.612630+1 5.437800+4 2.231410+1870023542 1987 5.648840+4 1.924700+1 5.854120+4 1.675570+1 6.053340+4 1.471370+1870023542 1988 6.445340+4 1.153180+1 6.809110+4 9.317510+0 7.144200+4 7.731740+0870023542 1989 7.450910+4 6.567240+0 7.730070+4 5.693120+0 8.243990+4 4.433970+0870023542 1990 8.651729+4 3.676000+0 8.970720+4 3.193830+0 9.471390+4 2.586530+0870023542 1991 1.000000+5 2.094700+0 1.051990+5 1.722930+0 1.099690+5 1.452190+0870023542 1992 1.143200+5 1.250420+0 1.182690+5 1.097010+0 1.255090+5 8.724340-1870023542 1993 1.312290+5 7.347230-1 1.356890+5 6.459020-1 1.426650+5 5.323920-1870023542 1994 1.500000+5 4.388300-1 1.554920+5 3.832470-1 1.655920+5 3.023760-1870023542 1995 1.735950+5 2.531340-1 1.798500+5 2.215400-1 1.896570+5 1.813860-1870023542 1996 2.000000+5 1.485100-1 2.103980+5 1.237450-1 2.199390+5 1.054880-1870023542 1997 2.286410+5 9.173700-2 2.447070+5 7.184420-2 2.574930+5 5.981040-2870023542 1998 2.675180+5 5.212730-2 2.832940+5 4.241300-2 3.000000+5 3.450900-2870023542 1999 3.223710+5 2.708430-2 3.402370+5 2.258430-2 3.542840+5 1.970710-2870023542 2000 3.764490+5 1.606380-2 4.000000+5 1.309400-2 4.229490+5 1.099730-2870023542 2001 4.410200+5 9.648270-3 4.695850+5 7.928520-3 5.000000+5 6.515300-3870023542 2002 5.233180+5 5.690920-3 5.603490+5 4.645730-3 6.000000+5 3.792500-3870023542 2003 6.447420+5 3.113620-3 6.804750+5 2.685470-3 7.378210+5 2.151060-3870023542 2004 8.000000+5 1.723000-3 8.458970+5 1.498080-3 9.197270+5 1.214540-3870023542 2005 1.000000+6 9.846600-4 1.022000+6 9.384000-4 1.130270+6 7.668340-4870023542 2006 1.250000+6 6.266350-4 1.369310+6 5.327380-4 1.500000+6 4.529100-4870023542 2007 1.611850+6 3.993460-4 1.795470+6 3.306400-4 2.000000+6 2.737540-4870023542 2008 2.044000+6 2.639550-4 2.249780+6 2.264010-4 2.417610+6 2.017860-4870023542 2009 2.693110+6 1.697880-4 3.000000+6 1.428650-4 3.464100+6 1.155000-4870023542 2010 4.000000+6 9.337630-5 4.472140+6 7.988780-5 5.000000+6 6.834770-5870023542 2011 5.477230+6 6.047260-5 6.000000+6 5.350480-5 7.000000+6 4.377890-5870023542 2012 8.000000+6 3.695620-5 9.000000+6 3.192380-5 1.000000+7 2.806490-5870023542 2013 1.100000+7 2.502860-5 1.200000+7 2.256080-5 1.300000+7 2.054060-5870023542 2014 1.400000+7 1.883490-5 1.500000+7 1.739540-5 1.600000+7 1.614940-5870023542 2015 1.800000+7 1.412920-5 2.000000+7 1.255660-5 2.200000+7 1.129490-5870023542 2016 2.400000+7 1.026180-5 2.600000+7 9.400540-6 2.800000+7 8.672300-6870023542 2017 3.000000+7 8.048100-6 3.464100+7 6.899840-6 4.000000+7 5.915410-6870023542 2018 4.472140+7 5.258340-6 5.000000+7 4.674260-6 6.000000+7 3.862560-6870023542 2019 6.928200+7 3.327740-6 8.000000+7 2.866980-6 8.944271+7 2.556170-6870023542 2020 1.000000+8 2.279060-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0870023542 2021 870023 0 2022 8.700000+4 2.210840+2 0 0 0 0870023543 2023 1.130300+3 0.000000+0 0 0 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1.819320+4-1.401310+1870027506 3373 1.832120+4-1.331920+1 1.849380+4-1.306810+1 1.857120+4-1.299300+1870027506 3374 1.863440+4-1.281350+1 1.871560+4-1.235770+1 1.886500+4-1.118580+1870027506 3375 1.902740+4-1.003720+1 1.912070+4-9.542250+0 1.933790+4-8.596420+0870027506 3376 1.967640+4-7.434820+0 2.001460+4-6.545080+0 2.022670+4-6.077800+0870027506 3377 2.070300+4-5.225060+0 2.143990+4-4.164290+0 2.213360+4-3.439440+0870027506 3378 2.244470+4-3.159110+0 2.299760+4-2.776590+0 2.365370+4-2.370000+0870027506 3379 2.457910+4-1.813910+0 2.500590+4-1.607430+0 2.676080+4-1.017130+0870027506 3380 2.740520+4-8.390420-1 2.783680+4-7.390080-1 2.833730+4-6.337040-1870027506 3381 2.936310+4-4.441550-1 2.980950+4-3.705180-1 3.000000+4-3.459280-1870027506 3382 3.026470+4-3.106120-1 3.070250+4-2.419600-1 3.101090+4-2.016420-1870027506 3383 3.137890+4-1.639650-1 3.190200+4-1.156980-1 3.197810+4-1.097330-1870027506 3384 3.226490+4-9.055990-2 3.259750+4-7.896250-2 3.278480+4-7.329180-2870027506 3385 3.299290+4-6.292250-2 3.362700+4-2.975310-2 3.458630+4 2.508330-2870027506 3386 3.476750+4 3.405460-2 3.489040+4 4.048190-2 3.521020+4 5.473420-2870027506 3387 3.552210+4 6.586450-2 3.615380+4 7.778410-2 3.689100+4 8.449200-2870027506 3388 3.722710+4 8.879000-2 3.869790+4 8.910060-2 4.021410+4 9.076090-2870027506 3389 4.107990+4 8.056730-2 4.158300+4 7.588570-2 4.264400+4 5.181680-2870027506 3390 4.306450+4 3.991480-2 4.322990+4 3.615440-2 4.399360+4 1.497450-2870027506 3391 4.451880+4-3.077160-4 4.561650+4-3.784510-2 4.604070+4-5.666120-2870027506 3392 4.655540+4-7.836630-2 4.754220+4-1.120210-1 4.922200+4-1.727940-1870027506 3393 4.956370+4-1.838630-1 5.038660+4-2.152460-1 5.084870+4-2.370110-1870027506 3394 5.469100+4-3.851390-1 5.582270+4-4.364250-1 6.132890+4-6.579930-1870027506 3395 6.364240+4-7.655370-1 6.704830+4-9.059820-1 7.054470+4-1.081820+0870027506 3396 7.482440+4-1.289170+0 8.051390+4-1.619650+0 8.729000+4-2.125590+0870027506 3397 8.817640+4-2.210320+0 9.277170+4-2.742190+0 9.502020+4-3.120750+0870027506 3398 9.763410+4-3.813620+0 9.860079+4-4.227900+0 9.928490+4-4.656180+0870027506 3399 9.966979+4-4.986510+0 9.994060+4-5.267940+0 1.001290+5-5.486570+0870027506 3400 1.002550+5-5.639770+0 1.003710+5-5.784720+0 1.005110+5-5.958100+0870027506 3401 1.006880+5-6.169930+0 1.008830+5-6.378440+0 1.011020+5-6.561250+0870027506 3402 1.015280+5-6.680500+0 1.019540+5-6.483180+0 1.023480+5-6.060980+0870027506 3403 1.027260+5-5.559460+0 1.032040+5-4.962340+0 1.036600+5-4.475940+0870027506 3404 1.045560+5-3.831820+0 1.060110+5-3.166930+0 1.082560+5-2.498390+0870027506 3405 1.105000+5-2.045290+0 1.126850+5-1.711420+0 1.160330+5-1.303070+0870027506 3406 1.192410+5-1.022610+0 1.251230+5-6.386430-1 1.277920+5-4.934900-1870027506 3407 1.306420+5-3.817790-1 1.385980+5-1.276860-1 1.415880+5-6.980180-2870027506 3408 1.446080+5-9.401300-3 1.476660+5 5.202340-2 1.510920+5 1.090430-1870027506 3409 1.524770+5 1.330520-1 1.576950+5 1.799880-1 1.631150+5 2.440720-1870027506 3410 1.658250+5 2.701300-1 1.674850+5 2.803060-1 1.702820+5 2.874830-1870027506 3411 1.768350+5 3.245570-1 1.779970+5 3.288580-1 1.800120+5 3.292640-1870027506 3412 1.901000+5 3.657530-1 1.926280+5 3.678360-1 1.948080+5 3.658950-1870027506 3413 2.051330+5 3.841870-1 2.091960+5 3.779770-1 2.234800+5 3.932380-1870027506 3414 2.254800+5 3.931290-1 2.426460+5 3.691600-1 2.603350+5 3.641330-1870027506 3415 2.638790+5 3.568560-1 2.927920+5 3.265880-1 3.124890+5 3.003050-1870027506 3416 3.385090+5 2.694050-1 3.479990+5 2.544400-1 3.880460+5 2.131390-1870027506 3417 4.283330+5 1.789910-1 4.625150+5 1.531560-1 4.914520+5 1.338580-1870027506 3418 5.196370+5 1.164050-1 5.277580+5 1.107080-1 5.873890+5 8.528310-2870027506 3419 6.239780+5 7.112980-2 6.695970+5 5.594560-2 6.842410+5 5.128950-2870027506 3420 6.874380+5 4.971440-2 6.951610+5 4.715640-2 7.378210+5 3.727830-2870027506 3421 7.492200+5 3.485220-2 7.586300+5 3.229960-2 7.816480+5 2.797390-2870027506 3422 8.000000+5 2.486310-2 8.069910+5 2.313150-2 8.575460+5 1.606920-2870027506 3423 9.050030+5 1.049140-2 9.457420+5 5.879180-3 9.800940+5 2.147680-3870027506 3424 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0870027506 3425 870027 0 3426 8700 0 0 3427 0 0 0 3428 8.800000+4 2.240840+2 -1 0 2 28800 1451 1 0.000000+0 0.000000+0 0 0 0 68800 1451 2 0.000000+0 0.000000+0 0 0 3 28800 1451 3 0.000000+0 0.000000+0 0 0 149 378800 1451 4 88-RA LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8800 1451 6 ----JEF-2 MATERIAL 8800 REVISION 0 8800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8800 1451 8 ------ENDF-6 FORMAT 8800 1451 9 ******************************************************************8800 1451 10 * JEF-2 *8800 1451 11 * DATA TAKEN FROM EPDL *8800 1451 12 ******************************************************************8800 1451 13 =================================================================8800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8800 1451 15 ENDF/B-VI FORMAT 8800 1451 16 =================================================================8800 1451 17 CONTENTS 8800 1451 18 =================================================================8800 1451 19 MF/MT DESCRIPTION 8800 1451 20 =================================================================8800 1451 21 23/501 TOTAL CROSS SECTION 8800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 53 =================================================================8800 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 8800 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 8800 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8800 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 8800 1451 58 =================================================================8800 1451 59 WARNING 8800 1451 60 =================================================================8800 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8800 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8800 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8800 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8800 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8800 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8800 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8800 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8800 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8800 1451 70 =================================================================8800 1451 71 DEFINITION OF NEW TYPES OF DATA 8800 1451 72 =================================================================8800 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8800 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8800 1451 75 8800 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8800 1451 77 C2 FIELDS ARE, 8800 1451 78 8800 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8800 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8800 1451 81 8800 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8800 1451 83 8800 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8800 1451 85 8800 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8800 1451 87 T = THE THOMSON CROSS SECTION 8800 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 8800 1451 89 FF(M) = THE ATOMIC FORM FACTOR 8800 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8800 1451 91 F1(E) = THE REAL SCATTERING FACTOR 8800 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 8800 1451 93 8800 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 8800 1451 95 8800 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8800 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8800 1451 98 =================================================================8800 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8800 1451 100 =================================================================8800 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8800 1451 102 HERE - 10 EV TO 100 MEV 8800 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8800 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 8800 1451 105 HERE - PHOTON INTERACTION 8800 1451 106 - AVERAGE FLUORESCENCE YIELD 8800 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8800 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8800 1451 109 HERE - NO SECONDARY ENERGY DATA 8800 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8800 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 8800 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 8800 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 8800 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8800 1451 115 - SCATTERING FACTORS LINEARLY INTERPOLABLE8800 1451 116 (SINCE THEY CAN BE NEGATIVE). 8800 1451 117 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8800 1451 118 ORDER TO ALLOW CROSS SECTIONS DEFINED 8800 1451 119 BY SUMMATION (E.G., TOTAL) TO BE 8800 1451 120 CONSISTENTLY DEFINED AT ALL ENERGIES. 8800 1451 121 - FORM FACTORS ARE LOG X VS. LOG Y 8800 1451 122 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8800 1451 123 - SCATTERING FACTORS LINEARLY INTERPOLABLE8800 1451 124 =================================================================8800 1451 125 REFERENCES 8800 1451 126 =================================================================8800 1451 127 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8800 1451 128 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8800 1451 129 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8800 1451 130 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8800 1451 131 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8800 1451 132 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8800 1451 133 8800 1451 134 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8800 1451 135 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8800 1451 136 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8800 1451 137 OF THE DATA, ETC. 8800 1451 138 =================================================================8800 1451 139 HISTORY 8800 1451 140 =================================================================8800 1451 141 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8800 1451 142 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8800 1451 143 CROSS SECTIONS. 8800 1451 144 =================================================================8800 1451 145 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8800 1451 146 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8800 1451 147 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8800 1451 148 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8800 1451 149 *RECONSTRUCTED MT NUMBERS 8800 1451 150 516 =+(515,515)+(517,517) 8800 1451 151 522 =+(534,572) 8800 1451 152 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8800 1451 153 1 451 190 18800 1451 154 23 501 616 18800 1451 155 23 502 176 18800 1451 156 23 504 30 18800 1451 157 23 515 30 18800 1451 158 23 516 59 18800 1451 159 23 517 42 18800 1451 160 23 522 407 28800 1451 161 23 534 29 28800 1451 162 23 535 35 28800 1451 163 23 536 40 28800 1451 164 23 537 42 28800 1451 165 23 538 40 28800 1451 166 23 539 44 28800 1451 167 23 540 46 28800 1451 168 23 541 54 28800 1451 169 23 542 54 28800 1451 170 23 543 45 28800 1451 171 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1.665530+3 1.863670+4 1.298720+3880023542 1911 2.000000+4 1.012700+3 2.103980+4 8.417880+2 2.199390+4 7.160760+2880023542 1912 2.286410+4 6.215790+2 2.447070+4 4.852170+2 2.574930+4 4.029630+2880023542 1913 2.675180+4 3.505600+2 2.832940+4 2.844520+2 3.000000+4 2.308100+2880023542 1914 3.197810+4 1.812940+2 3.381560+4 1.467640+2 3.550980+4 1.219910+2880023542 1915 3.706180+4 1.037700+2 3.847530+4 9.007350+1 4.107990+4 7.031010+1880023542 1916 4.314830+4 5.838930+1 4.476780+4 5.079480+1 4.731160+4 4.121440+1880023542 1917 5.000000+4 3.344100+1 5.221370+4 2.827390+1 5.437800+4 2.415720+1880023542 1918 5.648840+4 2.084390+1 5.854120+4 1.815170+1 6.053340+4 1.594440+1880023542 1919 6.445340+4 1.250340+1 6.809110+4 1.010760+1 7.144200+4 8.390970+0880023542 1920 7.450910+4 7.129880+0 7.730070+4 6.182920+0 8.243990+4 4.818240+0880023542 1921 8.651729+4 3.996310+0 8.970720+4 3.473270+0 9.471390+4 2.814200+0880023542 1922 1.000000+5 2.280200+0 1.058680+5 1.837040+0 1.104930+5 1.562170+0880023542 1923 1.178130+5 1.225020+0 1.256180+5 9.606290-1 1.313140+5 8.072870-1880023542 1924 1.357550+5 7.085690-1 1.427000+5 5.826570-1 1.500000+5 4.791200-1880023542 1925 1.554920+5 4.185260-1 1.655920+5 3.303380-1 1.735950+5 2.766210-1880023542 1926 1.798500+5 2.421480-1 1.896570+5 1.983230-1 2.000000+5 1.624300-1880023542 1927 2.103980+5 1.353760-1 2.199390+5 1.154270-1 2.286410+5 1.003990-1880023542 1928 2.447070+5 7.865320-2 2.574930+5 6.549470-2 2.675180+5 5.709180-2880023542 1929 2.832940+5 4.646490-2 3.000000+5 3.781600-2 3.223710+5 2.968560-2880023542 1930 3.402370+5 2.475700-2 3.542840+5 2.160540-2 3.764490+5 1.761400-2880023542 1931 4.000000+5 1.436000-2 4.229490+5 1.206150-2 4.410200+5 1.058250-2880023542 1932 4.695850+5 8.696980-3 5.000000+5 7.147400-3 5.233180+5 6.243100-3880023542 1933 5.603490+5 5.096570-3 6.000000+5 4.160600-3 6.447420+5 3.415680-3880023542 1934 6.804750+5 2.945890-3 7.378210+5 2.359540-3 8.000000+5 1.889900-3880023542 1935 8.458970+5 1.642420-3 9.197270+5 1.330610-3 1.000000+6 1.078000-3880023542 1936 1.022000+6 1.027260-3 1.130270+6 8.394440-4 1.250000+6 6.859660-4880023542 1937 1.369310+6 5.832500-4 1.500000+6 4.959150-4 1.611850+6 4.372240-4880023542 1938 1.795470+6 3.619500-4 2.000000+6 2.996360-4 2.044000+6 2.889480-4880023542 1939 2.249780+6 2.477990-4 2.417610+6 2.208310-4 2.693110+6 1.857810-4880023542 1940 3.000000+6 1.562940-4 3.464100+6 1.263540-4 4.000000+6 1.021500-4880023542 1941 4.472140+6 8.738360-5 5.000000+6 7.475180-5 5.477230+6 6.613210-5880023542 1942 6.000000+6 5.850640-5 7.000000+6 4.786880-5 8.000000+6 4.039990-5880023542 1943 9.000000+6 3.489260-5 1.000000+7 3.068030-5 1.100000+7 2.734820-5880023542 1944 1.200000+7 2.465740-5 1.300000+7 2.244440-5 1.400000+7 2.058350-5880023542 1945 1.500000+7 1.901170-5 1.600000+7 1.765380-5 1.800000+7 1.544080-5880023542 1946 2.000000+7 1.371810-5 2.200000+7 1.233880-5 2.400000+7 1.120960-5880023542 1947 2.600000+7 1.026910-5 2.800000+7 9.473180-6 3.000000+7 8.790410-6880023542 1948 3.464100+7 7.535930-6 4.000000+7 6.460470-6 4.472140+7 5.742180-6880023542 1949 5.000000+7 5.103750-6 6.000000+7 4.218540-6 6.928200+7 3.634260-6880023542 1950 8.000000+7 3.130900-6 8.944271+7 2.791210-6 1.000000+8 2.488380-6880023542 1951 880023 0 1952 8.800000+4 2.240840+2 0 0 0 0880023543 1953 1.189700+3 0.000000+0 0 0 1 125880023543 1954 125 2 0 0 0 0880023543 1955 1.189700+3 0.000000+0 1.189700+3 3.496900+4 1.315070+3 3.095050+4880023543 1956 1.528320+3 2.577180+4 1.776150+3 2.145960+4 2.041770+3 1.860370+4880023543 1957 2.347120+3 1.612790+4 2.703130+3 1.311520+4 2.910140+3 1.159500+4880023543 1958 3.133000+3 1.025100+4 3.491780+3 8.657290+3 3.787580+3 7.626830+3880023543 1959 4.278920+3 6.306471+3 4.834000+3 5.214700+3 5.482800+3 4.201930+3880023543 1960 6.025930+3 3.573660+3 6.468310+3 3.164910+3 7.193500+3 2.637750+3880023543 1961 8.000000+3 2.198400+3 8.944270+3 1.794740+3 1.000000+4 1.465200+3880023543 1962 1.116870+4 1.187270+3 1.213400+4 1.014000+3 1.291240+4 9.008530+2880023543 1963 1.417450+4 7.543610+2 1.556000+4 6.316900+2 1.656780+4 5.577480+2880023543 1964 1.820320+4 4.627430+2 2.000000+4 3.839200+2 2.213360+4 3.114140+2880023543 1965 2.388200+4 2.661710+2 2.528320+4 2.366080+2 2.754080+4 1.983030+2880023543 1966 3.000000+4 1.662000+2 3.197810+4 1.446290+2 3.381560+4 1.280650+2880023543 1967 3.728900+4 1.035100+2 4.012620+4 8.823600+1 4.239490+4 7.827870+1880023543 1968 4.604070+4 6.540950+1 5.000000+4 5.465600+1 5.302550+4 4.776380+1880023543 1969 5.582270+4 4.245000+1 6.107740+4 3.453340+1 6.534060+4 2.958090+1880023543 1970 7.229970+4 2.345140+1 8.000000+4 1.859200+1 8.653970+4 1.539180+1880023543 1971 9.269890+4 1.304690+1 9.844679+4 1.129020+1 1.037680+5 9.948140+0880023543 1972 1.137810+5 7.971980+0 1.219200+5 6.752020+0 1.284040+5 5.961220+0880023543 1973 1.387830+5 4.945230+0 1.500000+5 4.102400+0 1.635760+5 3.317610+0880023543 1974 1.764600+5 2.755120+0 1.885620+5 2.341750+0 1.998310+5 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1.500000+3 2.595700+4 1.732050+3 2.341230+4 2.000000+3 2.111700+4880023544 2003 2.213360+3 1.905610+4 2.449490+3 1.719630+4 2.834920+3 1.436750+4880023544 2004 3.281000+3 1.200400+4 3.553410+3 1.068510+4 4.005010+3 8.973470+3880023544 2005 4.514000+3 7.536000+3 4.846840+3 6.703050+3 5.392690+3 5.623010+3880023544 2006 6.000000+3 4.717000+3 6.447420+3 4.141440+3 7.181880+3 3.407060+3880023544 2007 8.000000+3 2.802900+3 8.944270+3 2.257360+3 1.000000+4 1.818000+3880023544 2008 1.116870+4 1.441560+3 1.213400+4 1.211330+3 1.291240+4 1.063120+3880023544 2009 1.417450+4 8.741080+2 1.556000+4 7.187000+2 1.656780+4 6.240690+2880023544 2010 1.820320+4 5.049640+2 2.000000+4 4.085900+2 2.103980+4 3.620390+2880023544 2011 2.299120+4 2.929710+2 2.457260+4 2.499630+2 2.582970+4 2.219040+2880023544 2012 2.783680+4 1.856090+2 3.000000+4 1.552500+2 3.223710+4 1.295540+2880023544 2013 3.402370+4 1.131130+2 3.689100+4 9.228000+1 4.000000+4 7.528400+1880023544 2014 4.207960+4 6.590490+1 4.598240+4 5.221480+1 4.914520+4 4.384810+1880023544 2015 5.165930+4 3.846520+1 5.567370+4 3.160420+1 6.000000+4 2.596700+1880023544 2016 6.283590+4 2.288760+1 6.851930+4 1.806380+1 7.391250+4 1.468480+1880023544 2017 7.897860+4 1.225090+1 8.369560+4 1.045460+1 8.805340+4 9.100230+0880023544 2018 9.205220+4 8.059900+0 9.949210+4 6.517270+0 1.054640+5 5.557350+0880023544 2019 1.151010+5 4.375930+0 1.256180+5 3.445670+0 1.331370+5 2.924720+0880023544 2020 1.400850+5 2.533930+0 1.464600+5 2.235070+0 1.583240+5 1.794360+0880023544 2021 1.678490+5 1.521850+0 1.753660+5 1.344990+0 1.872790+5 1.117480+0880023544 2022 2.000000+5 9.284600-1 2.103980+5 8.078820-1 2.199390+5 7.152940-1880023544 2023 2.376880+5 5.780620-1 2.519330+5 4.927100-1 2.749180+5 3.877190-1880023544 2024 3.000000+5 3.051000-1 3.223710+5 2.521750-1 3.402370+5 2.185980-1880023544 2025 3.689100+5 1.764260-1 4.000000+5 1.423900-1 4.207960+5 1.253970-1880023544 2026 4.598240+5 1.003930-1 4.914520+5 8.497000-2 5.165930+5 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2.624580+4-1.447230+0 2.818060+4-9.440020-1880027506 3275 2.875020+4-8.256920-1 2.959450+4-6.586120-1 3.052170+4-5.020920-1880027506 3276 3.197810+4-3.007840-1 3.251620+4-2.339770-1 3.332940+4-1.503380-1880027506 3277 3.409410+4-7.909970-2 3.447650+4-4.899010-2 3.465240+4-3.889640-2880027506 3278 3.478060+4-3.132060-2 3.542840+4-4.124580-3 3.550980+4-5.734110-4880027506 3279 3.554360+4 8.740680-4 3.708420+4 7.624810-2 3.762720+4 8.129050-2880027506 3280 3.869650+4 9.366210-2 3.893160+4 9.673700-2 3.940060+4 9.664080-2880027506 3281 4.050340+4 8.679910-2 4.137870+4 7.839660-2 4.229490+4 7.249990-2880027506 3282 4.249350+4 7.017750-2 4.320050+4 5.785140-2 4.373390+4 4.510620-2880027506 3283 4.382000+4 4.202990-2 4.395060+4 3.672700-2 4.487700+4 9.587730-4880027506 3284 4.526800+4-1.077690-2 4.590720+4-2.873790-2 4.604070+4-3.303120-2880027506 3285 4.807820+4-9.482160-2 4.868570+4-1.170290-1 4.959900+4-1.559470-1880027506 3286 5.149050+4-2.247110-1 5.237870+4-2.567010-1 5.323520+4-2.920870-1880027506 3287 5.716620+4-4.272870-1 6.000000+4-5.446620-1 6.424200+4-7.093270-1880027506 3288 6.636860+4-8.038600-1 6.915450+4-9.235110-1 7.522070+4-1.212720+0880027506 3289 7.784750+4-1.347340+0 8.248979+4-1.603140+0 9.036490+4-2.184530+0880027506 3290 9.521220+4-2.718810+0 9.764090+4-3.115460+0 1.003270+5-3.804360+0880027506 3291 1.013200+5-4.216870+0 1.020230+5-4.642740+0 1.024190+5-4.971250+0880027506 3292 1.026970+5-5.251190+0 1.028920+5-5.469840+0 1.031400+5-5.765070+0880027506 3293 1.032830+5-5.937390+0 1.034650+5-6.147990+0 1.036660+5-6.355410+0880027506 3294 1.038910+5-6.537840+0 1.043110+5-6.657310+0 1.047310+5-6.484210+0880027506 3295 1.051200+5-6.098250+0 1.054930+5-5.624830+0 1.059650+5-5.043980+0880027506 3296 1.064150+5-4.557240+0 1.070930+5-4.029760+0 1.083960+5-3.384070+0880027506 3297 1.094770+5-2.995530+0 1.114240+5-2.468440+0 1.143450+5-1.904510+0880027506 3298 1.172650+5-1.507350+0 1.195050+5-1.274760+0 1.217140+5-1.090180+0880027506 3299 1.273040+5-7.095340-1 1.300990+5-5.534510-1 1.328930+5-4.392950-1880027506 3300 1.406500+5-1.835330-1 1.455430+5-8.326670-2 1.494190+5-1.086630-3880027506 3301 1.511390+5 3.559880-2 1.550910+5 1.105630-1 1.570670+5 1.403990-1880027506 3302 1.657600+5 2.090210-1 1.677990+5 2.194090-1 1.749380+5 2.788270-1880027506 3303 1.785070+5 3.041860-1 1.812250+5 3.148030-1 1.831970+5 3.116910-1880027506 3304 1.854010+5 3.177110-1 1.947600+5 3.580250-1 1.982550+5 3.656590-1880027506 3305 2.000000+5 3.619780-1 2.018020+5 3.578140-1 2.073290+5 3.661900-1880027506 3306 2.170910+5 3.861870-1 2.210450+5 3.854590-1 2.232750+5 3.783300-1880027506 3307 2.379550+5 3.782280-1 2.425330+5 3.678230-1 2.621650+5 3.641120-1880027506 3308 2.668810+5 3.552310-1 2.927920+5 3.271050-1 3.122500+5 3.010270-1880027506 3309 3.361220+5 2.734660-1 3.473440+5 2.550680-1 3.899850+5 2.140010-1880027506 3310 4.239490+5 1.855570-1 4.715510+5 1.490020-1 5.000000+5 1.297030-1880027506 3311 5.249150+5 1.135920-1 5.567370+5 9.982450-2 5.664250+5 9.616560-2880027506 3312 5.743440+5 9.177290-2 6.243450+5 7.228820-2 6.832060+5 5.272480-2880027506 3313 6.873320+5 5.064380-2 6.950680+5 4.804490-2 7.181880+5 4.256960-2880027506 3314 7.444840+5 3.702490-2 7.564370+5 3.338310-2 7.713480+5 3.042310-2880027506 3315 8.004770+5 2.527470-2 8.073000+5 2.351140-2 8.559700+5 1.658230-2880027506 3316 8.944270+5 1.192470-2 9.049860+5 1.074050-2 9.493730+5 5.556890-3880027506 3317 9.800940+5 2.147070-3 9.821170+5 1.925540-3 1.000000+6 0.000000+0880027506 3318 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0880027506 3319 880027 0 3320 8800 0 0 3321 0 0 0 3322 8.900000+4 2.250500+2 -1 0 2 28900 1451 1 0.000000+0 0.000000+0 0 0 0 68900 1451 2 0.000000+0 0.000000+0 0 0 3 28900 1451 3 0.000000+0 0.000000+0 0 0 151 398900 1451 4 89-AC LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 8900 1451 6 ----JEF-2 MATERIAL 8900 REVISION 0 8900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8900 1451 8 ------ENDF-6 FORMAT 8900 1451 9 ******************************************************************8900 1451 10 * JEF-2 *8900 1451 11 * DATA TAKEN FROM EPDL *8900 1451 12 ******************************************************************8900 1451 13 =================================================================8900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8900 1451 15 ENDF/B-VI FORMAT 8900 1451 16 =================================================================8900 1451 17 CONTENTS 8900 1451 18 =================================================================8900 1451 19 MF/MT DESCRIPTION 8900 1451 20 =================================================================8900 1451 21 23/501 TOTAL CROSS SECTION 8900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 8900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 52 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 53 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 55 =================================================================8900 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 8900 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 8900 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8900 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 8900 1451 60 =================================================================8900 1451 61 WARNING 8900 1451 62 =================================================================8900 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8900 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8900 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8900 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8900 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8900 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8900 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8900 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8900 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8900 1451 72 =================================================================8900 1451 73 DEFINITION OF NEW TYPES OF DATA 8900 1451 74 =================================================================8900 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8900 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8900 1451 77 8900 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8900 1451 79 C2 FIELDS ARE, 8900 1451 80 8900 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8900 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8900 1451 83 8900 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8900 1451 85 8900 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8900 1451 87 8900 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8900 1451 89 T = THE THOMSON CROSS SECTION 8900 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 8900 1451 91 FF(M) = THE ATOMIC FORM FACTOR 8900 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8900 1451 93 F1(E) = THE REAL SCATTERING FACTOR 8900 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 8900 1451 95 8900 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 8900 1451 97 8900 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8900 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8900 1451 100 =================================================================8900 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8900 1451 102 =================================================================8900 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8900 1451 104 HERE - 10 EV TO 100 MEV 8900 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8900 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 8900 1451 107 HERE - PHOTON INTERACTION 8900 1451 108 - AVERAGE FLUORESCENCE YIELD 8900 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8900 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8900 1451 111 HERE - NO SECONDARY ENERGY DATA 8900 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8900 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 8900 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 8900 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 8900 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8900 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE8900 1451 118 (SINCE THEY CAN BE NEGATIVE). 8900 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8900 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 8900 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 8900 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 8900 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 8900 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8900 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE8900 1451 126 =================================================================8900 1451 127 REFERENCES 8900 1451 128 =================================================================8900 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8900 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8900 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8900 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8900 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8900 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8900 1451 135 8900 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8900 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8900 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8900 1451 139 OF THE DATA, ETC. 8900 1451 140 =================================================================8900 1451 141 HISTORY 8900 1451 142 =================================================================8900 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 8900 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 8900 1451 145 CROSS SECTIONS. 8900 1451 146 =================================================================8900 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8900 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 8900 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8900 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8900 1451 151 *RECONSTRUCTED MT NUMBERS 8900 1451 152 516 =+(515,515)+(517,517) 8900 1451 153 522 =+(534,572) 8900 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8900 1451 155 1 451 194 18900 1451 156 23 501 647 18900 1451 157 23 502 168 18900 1451 158 23 504 30 18900 1451 159 23 515 30 18900 1451 160 23 516 59 18900 1451 161 23 517 42 18900 1451 162 23 522 446 28900 1451 163 23 534 29 28900 1451 164 23 535 36 28900 1451 165 23 536 39 28900 1451 166 23 537 41 28900 1451 167 23 538 41 28900 1451 168 23 539 44 28900 1451 169 23 540 46 28900 1451 170 23 541 54 28900 1451 171 23 542 54 28900 1451 172 23 543 45 28900 1451 173 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3.789000-1 1.735950+5 3.187830-1 1.798500+5 2.800430-1890023541 1937 1.896570+5 2.305780-1 2.000000+5 1.898500-1 2.103980+5 1.586870-1890023541 1938 2.199390+5 1.356460-1 2.286410+5 1.182470-1 2.447070+5 9.299480-2890023541 1939 2.574930+5 7.766230-2 2.675180+5 6.784600-2 2.832940+5 5.539800-2890023541 1940 3.000000+5 4.523400-2 3.223710+5 3.550310-2 3.402370+5 2.960510-2890023541 1941 3.542840+5 2.583400-2 3.764490+5 2.105870-2 4.000000+5 1.716600-2890023541 1942 4.229490+5 1.438630-2 4.410200+5 1.260110-2 4.695850+5 1.033000-2890023541 1943 5.000000+5 8.468200-3 5.233180+5 7.368390-3 5.603490+5 5.980610-3890023541 1944 6.000000+5 4.854200-3 6.447420+5 3.950640-3 6.804750+5 3.385170-3890023541 1945 7.378210+5 2.685030-3 8.000000+5 2.129700-3 8.458970+5 1.843850-3890023541 1946 9.197270+5 1.485380-3 1.000000+6 1.196600-3 1.022000+6 1.139610-3890023541 1947 1.130270+6 9.305770-4 1.250000+6 7.598860-4 1.369310+6 6.467800-4890023541 1948 1.500000+6 5.505100-4 1.611850+6 4.853730-4 1.795470+6 4.018300-4890023541 1949 2.000000+6 3.326660-4 2.044000+6 3.207330-4 2.249780+6 2.750340-4890023541 1950 2.417610+6 2.450860-4 2.693110+6 2.061660-4 3.000000+6 1.734260-4890023541 1951 3.464100+6 1.401820-4 4.000000+6 1.133110-4 4.472140+6 9.691690-5890023541 1952 5.000000+6 8.289470-5 5.477230+6 7.333390-5 6.000000+6 6.487580-5890023541 1953 7.000000+6 5.306210-5 8.000000+6 4.477530-5 9.000000+6 3.867620-5890023541 1954 1.000000+7 3.399580-5 1.100000+7 3.030990-5 1.200000+7 2.732660-5890023541 1955 1.300000+7 2.486040-5 1.400000+7 2.280530-5 1.500000+7 2.105510-5890023541 1956 1.600000+7 1.955690-5 1.800000+7 1.710400-5 2.000000+7 1.519470-5890023541 1957 2.200000+7 1.366990-5 2.400000+7 1.241700-5 2.600000+7 1.137350-5890023541 1958 2.800000+7 1.049180-5 3.000000+7 9.736010-6 3.464100+7 8.346030-6890023541 1959 4.000000+7 7.154500-6 4.472140+7 6.359180-6 5.000000+7 5.652270-6890023541 1960 6.000000+7 4.671110-6 6.928200+7 4.023620-6 8.000000+7 3.465880-6890023541 1961 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1.955370+3890023542 1976 1.763840+4 1.686550+3 1.878680+4 1.350990+3 2.001000+4 1.082200+3890023542 1977 2.104900+4 9.201760+2 2.214190+4 7.824100+2 2.299870+4 6.803640+2890023542 1978 2.434650+4 5.516980+2 2.577320+4 4.473640+2 2.677050+4 3.860540+2890023542 1979 2.833930+4 3.094770+2 3.000000+4 2.480900+2 3.197810+4 1.949910+2890023542 1980 3.381560+4 1.579410+2 3.550980+4 1.313460+2 3.706180+4 1.117750+2890023542 1981 3.847530+4 9.705860+1 4.107990+4 7.581230+1 4.314830+4 6.298960+1890023542 1982 4.476780+4 5.481700+1 4.731160+4 4.450260+1 5.000000+4 3.612900+1890023542 1983 5.221370+4 3.055850+1 5.437800+4 2.611880+1 5.648840+4 2.254430+1890023542 1984 5.854120+4 1.963880+1 6.053340+4 1.725590+1 6.445340+4 1.353950+1890023542 1985 6.809110+4 1.095060+1 7.144200+4 9.094800+0 7.450910+4 7.730870+0890023542 1986 7.730070+4 6.706320+0 8.243990+4 5.229170+0 8.651729+4 4.339040+0890023542 1987 8.970720+4 3.772370+0 9.471390+4 3.058060+0 1.000000+5 2.479000+0890023542 1988 1.051990+5 2.040540+0 1.099690+5 1.721000+0 1.143200+5 1.482730+0890023542 1989 1.182690+5 1.301470+0 1.255090+5 1.035930+0 1.312290+5 8.729830-1890023542 1990 1.356890+5 7.678230-1 1.426650+5 6.333510-1 1.500000+5 5.224300-1890023542 1991 1.554920+5 4.564600-1 1.655920+5 3.604200-1 1.735950+5 3.019000-1890023542 1992 1.798500+5 2.643350-1 1.896570+5 2.165660-1 2.000000+5 1.774300-1890023542 1993 2.103980+5 1.479110-1 2.199390+5 1.261400-1 2.286410+5 1.097360-1890023542 1994 2.447070+5 8.599400-2 2.574930+5 7.162370-2 2.675180+5 6.244500-2890023542 1995 2.832940+5 5.083470-2 3.000000+5 4.138300-2 3.223710+5 3.249260-2890023542 1996 3.402370+5 2.710240-2 3.542840+5 2.365500-2 3.764490+5 1.928850-2890023542 1997 4.000000+5 1.572800-2 4.229490+5 1.321140-2 4.410200+5 1.159200-2890023542 1998 4.695850+5 9.527250-3 5.000000+5 7.830300-3 5.233180+5 6.839770-3890023542 1999 5.603490+5 5.583890-3 6.000000+5 4.558600-3 6.447420+5 3.742200-3890023542 2000 6.804750+5 3.227370-3 7.378210+5 2.584820-3 8.000000+5 2.070200-3890023542 2001 8.458970+5 1.798520-3 9.197270+5 1.456360-3 1.000000+6 1.179300-3890023542 2002 1.022000+6 1.123690-3 1.130270+6 9.180960-4 1.250000+6 7.501180-4890023542 2003 1.369310+6 6.379480-4 1.500000+6 5.425510-4 1.611850+6 4.783560-4890023542 2004 1.795470+6 3.960200-4 2.000000+6 3.278560-4 2.044000+6 3.160960-4890023542 2005 2.249780+6 2.710580-4 2.417610+6 2.415430-4 2.693110+6 2.031850-4890023542 2006 3.000000+6 1.709190-4 3.464100+6 1.381550-4 4.000000+6 1.116720-4890023542 2007 4.472140+6 9.551530-5 5.000000+6 8.169620-5 5.477230+6 7.227370-5890023542 2008 6.000000+6 6.393790-5 7.000000+6 5.229500-5 8.000000+6 4.412800-5890023542 2009 9.000000+6 3.811710-5 1.000000+7 3.350430-5 1.100000+7 2.987160-5890023542 2010 1.200000+7 2.693150-5 1.300000+7 2.450100-5 1.400000+7 2.247560-5890023542 2011 1.500000+7 2.075070-5 1.600000+7 1.927410-5 1.800000+7 1.685670-5890023542 2012 2.000000+7 1.497500-5 2.200000+7 1.347230-5 2.400000+7 1.223740-5890023542 2013 2.600000+7 1.120910-5 2.800000+7 1.034010-5 3.000000+7 9.595250-6890023542 2014 3.464100+7 8.225370-6 4.000000+7 7.051070-6 4.472140+7 6.267240-6890023542 2015 5.000000+7 5.570550-6 6.000000+7 4.603580-6 6.928200+7 3.965450-6890023542 2016 8.000000+7 3.415770-6 8.944271+7 3.045500-6 1.000000+8 2.715370-6890023542 2017 890023 0 2018 8.900000+4 2.250500+2 0 0 0 0890023543 2019 1.249500+3 0.000000+0 0 0 1 124890023543 2020 124 2 0 0 0 0890023543 2021 1.249500+3 0.000000+0 1.249500+3 3.302610+4 1.381080+3 2.928970+4890023543 2022 1.604880+3 2.446250+4 1.864940+3 2.043090+4 2.042770+3 1.833410+4890023543 2023 2.341800+3 1.558530+4 2.684610+3 1.324870+4 3.022540+3 1.101870+4890023543 2024 3.403000+3 9.164000+3 3.749420+3 7.873730+3 4.032190+3 7.026701+3890023543 2025 4.496820+3 5.923910+3 5.015000+3 4.994200+3 5.636060+3 4.090620+3890023543 2026 6.151830+3 3.521930+3 6.569400+3 3.147930+3 7.249500+3 2.660060+3890023543 2027 8.000000+3 2.247800+3 8.944270+3 1.837440+3 1.000000+4 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5.568710-2 6.861740+5 5.084530-2 7.006500+5 4.721830-2890027506 3519 7.181880+5 4.404300-2 7.458430+5 3.996300-2 7.576430+5 3.795740-2890027506 3520 7.646560+5 3.639000-2 7.761700+5 3.245980-2 8.076700+5 2.471940-2890027506 3521 8.510480+5 1.765700-2 8.820400+5 1.315510-2 8.944270+5 1.144930-2890027506 3522 9.197270+5 8.615010-3 9.590240+5 4.325940-3 9.808160+5 2.019250-3890027506 3523 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0890027506 3524 890027 0 3525 8900 0 0 3526 0 0 0 3527 9.000000+4 2.300450+2 -1 0 2 29000 1451 1 0.000000+0 0.000000+0 0 0 0 69000 1451 2 0.000000+0 0.000000+0 0 0 3 29000 1451 3 0.000000+0 0.000000+0 0 0 151 399000 1451 4 90-TH LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9000 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9000 1451 6 ----JEF-2 MATERIAL 9000 REVISION 0 9000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9000 1451 8 ------ENDF-6 FORMAT 9000 1451 9 ******************************************************************9000 1451 10 * JEF-2 *9000 1451 11 * DATA TAKEN FROM EPDL *9000 1451 12 ******************************************************************9000 1451 13 =================================================================9000 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9000 1451 15 ENDF/B-VI FORMAT 9000 1451 16 =================================================================9000 1451 17 CONTENTS 9000 1451 18 =================================================================9000 1451 19 MF/MT DESCRIPTION 9000 1451 20 =================================================================9000 1451 21 23/501 TOTAL CROSS SECTION 9000 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9000 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9000 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9000 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9000 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9000 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9000 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 49 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 50 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 51 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 52 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 53 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 55 =================================================================9000 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 9000 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 9000 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9000 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 9000 1451 60 =================================================================9000 1451 61 WARNING 9000 1451 62 =================================================================9000 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9000 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9000 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9000 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9000 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9000 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9000 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9000 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9000 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9000 1451 72 =================================================================9000 1451 73 DEFINITION OF NEW TYPES OF DATA 9000 1451 74 =================================================================9000 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9000 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9000 1451 77 9000 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9000 1451 79 C2 FIELDS ARE, 9000 1451 80 9000 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9000 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9000 1451 83 9000 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9000 1451 85 9000 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9000 1451 87 9000 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9000 1451 89 T = THE THOMSON CROSS SECTION 9000 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 9000 1451 91 FF(M) = THE ATOMIC FORM FACTOR 9000 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9000 1451 93 F1(E) = THE REAL SCATTERING FACTOR 9000 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 9000 1451 95 9000 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 9000 1451 97 9000 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9000 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9000 1451 100 =================================================================9000 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9000 1451 102 =================================================================9000 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9000 1451 104 HERE - 10 EV TO 100 MEV 9000 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9000 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 9000 1451 107 HERE - PHOTON INTERACTION 9000 1451 108 - AVERAGE FLUORESCENCE YIELD 9000 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9000 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9000 1451 111 HERE - NO SECONDARY ENERGY DATA 9000 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9000 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 9000 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 9000 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 9000 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9000 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE9000 1451 118 (SINCE THEY CAN BE NEGATIVE). 9000 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9000 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 9000 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 9000 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 9000 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 9000 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9000 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE9000 1451 126 =================================================================9000 1451 127 REFERENCES 9000 1451 128 =================================================================9000 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9000 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9000 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9000 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9000 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9000 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9000 1451 135 9000 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9000 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9000 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9000 1451 139 OF THE DATA, ETC. 9000 1451 140 =================================================================9000 1451 141 HISTORY 9000 1451 142 =================================================================9000 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9000 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9000 1451 145 CROSS SECTIONS. 9000 1451 146 =================================================================9000 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9000 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9000 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9000 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9000 1451 151 *RECONSTRUCTED MT NUMBERS 9000 1451 152 516 =+(515,515)+(517,517) 9000 1451 153 522 =+(534,572) 9000 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9000 1451 155 1 451 194 19000 1451 156 23 501 707 19000 1451 157 23 502 160 19000 1451 158 23 504 30 19000 1451 159 23 515 30 19000 1451 160 23 516 59 19000 1451 161 23 517 42 19000 1451 162 23 522 511 29000 1451 163 23 534 29 29000 1451 164 23 535 35 29000 1451 165 23 536 39 29000 1451 166 23 537 41 29000 1451 167 23 538 40 29000 1451 168 23 539 43 29000 1451 169 23 540 46 29000 1451 170 23 541 53 29000 1451 171 23 542 55 29000 1451 172 23 543 44 29000 1451 173 23 544 47 29000 1451 174 23 545 50 29000 1451 175 23 546 57 29000 1451 176 23 547 57 29000 1451 177 23 548 75 29000 1451 178 23 549 76 29000 1451 179 23 550 50 29000 1451 180 23 551 52 29000 1451 181 23 552 55 29000 1451 182 23 553 65 29000 1451 183 23 554 69 29000 1451 184 23 559 55 29000 1451 185 23 560 62 29000 1451 186 23 561 64 29000 1451 187 23 562 74 29000 1451 188 23 563 74 29000 1451 189 23 570 63 29000 1451 190 27 502 47 19000 1451 191 27 504 45 19000 1451 192 27 505 139 19000 1451 193 27 506 139 19000 1451 194 9000 1 0 195 9000 0 0 196 9.000000+4 2.300450+2 0 0 0 0900023501 197 0.000000+0 0.000000+0 0 0 1 2110900023501 198 2110 2 0 0 0 0900023501 199 1.000000+1 2.266370+7 1.051990+1 2.161460+7 1.099690+1 2.069850+7900023501 200 1.134750+1 2.004980+7 1.135090+1 2.004350+7 1.143200+1 1.991300+7900023501 201 1.154780+1 1.973500+7 1.223530+1 1.867850+7 1.224740+1 1.866070+7900023501 202 1.241760+1 1.839580+7 1.287460+1 1.768440+7 1.288420+1 1.766980+7900023501 203 1.321580+1 1.714930+7 1.337590+1 1.689800+7 1.416470+1 1.568640+7900023501 204 1.425870+1 1.554500+7 1.462930+1 1.496470+7 1.499770+1 1.438780+7900023501 205 1.500000+1 1.438420+7 1.596800+1 1.282330+7 1.611850+1 1.258060+7900023501 206 1.688590+1 1.157370+7 1.701190+1 1.140840+7 1.732050+1 1.100680+7900023501 207 1.742920+1 1.087000+7 1.771420+1 1.051130+7 1.849780+1 9.532570+6900023501 208 1.861210+1 9.389810+6 1.882240+1 9.179140+6 1.887140+1 9.130500+6900023501 209 1.963200+1 8.375580+6 2.000000+1 8.010330+6 2.008700+1 7.935090+6900023501 210 2.078930+1 7.327750+6 2.094430+1 7.193700+6 2.113900+1 7.025330+6900023501 211 2.125450+1 6.926040+6 2.151620+1 6.750910+6 2.204200+1 6.399040+6900023501 212 2.285500+1 5.854980+6 2.297020+1 5.777890+6 2.328520+1 5.568570+6900023501 213 2.369790+1 5.365780+6 2.386310+1 5.284600+6 2.398770+1 5.223380+6900023501 214 2.408170+1 5.177190+6 2.422320+1 5.107660+6 2.436560+1 5.037690+6900023501 215 2.447650+1 4.983200+6 2.453210+1 4.955880+6 2.457520+1 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0900023538 1891 5.157900+3 0.000000+0 0 0 1 109900023538 1892 109 2 0 0 0 0900023538 1893 5.157900+3 0.000000+0 5.157900+3 1.349310+4 6.000000+3 1.100400+4900023538 1894 6.928201+3 8.907420+3 8.000000+3 7.210300+3 8.944270+3 6.033340+3900023538 1895 1.000000+4 5.048500+3 1.132160+4 4.057820+3 1.242630+4 3.444620+3900023538 1896 1.332490+4 3.046330+3 1.479620+4 2.533560+3 1.643000+4 2.107100+3900023538 1897 1.841950+4 1.695810+3 2.065000+4 1.364800+3 2.267100+4 1.132200+3900023538 1898 2.431550+4 9.841510+2 2.700860+4 7.975750+2 3.000000+4 6.463700+2900023538 1899 3.197810+4 5.641100+2 3.381560+4 5.007670+2 3.728900+4 4.065480+2900023538 1900 4.012620+4 3.477110+2 4.239490+4 3.092420+2 4.604070+4 2.593690+2900023538 1901 5.000000+4 2.175400+2 5.302550+4 1.904350+2 5.876740+4 1.508730+2900023538 1902 6.347820+4 1.266950+2 6.725750+4 1.111400+2 7.335260+4 9.131430+1900023538 1903 8.000000+4 7.502500+1 8.653970+4 6.221120+1 9.269890+4 5.280780+1900023538 1904 9.844679+4 4.575350+1 1.037680+5 4.035850+1 1.137810+5 3.240250+1900023538 1905 1.219200+5 2.748280+1 1.284040+5 2.428970+1 1.387830+5 2.018200+1900023538 1906 1.500000+5 1.676900+1 1.635760+5 1.358010+1 1.764600+5 1.129150+1900023538 1907 1.885620+5 9.607670+0 1.998310+5 8.341640+0 2.102420+5 7.371490+0900023538 1908 2.297840+5 5.937280+0 2.456240+5 5.047910+0 2.582160+5 4.469460+0900023538 1909 2.783250+5 3.723650+0 3.000000+5 3.102300+0 3.197810+5 2.670810+0900023538 1910 3.381560+5 2.342780+0 3.728900+5 1.862680+0 4.012620+5 1.568350+0900023538 1911 4.239490+5 1.378540+0 4.604070+5 1.136020+0 5.000000+5 9.361700-1900023538 1912 5.477230+5 7.635630-1 6.000000+5 6.227800-1 6.447420+5 5.337550-1900023538 1913 7.181880+5 4.235000-1 8.000000+5 3.360200-1 8.944270+5 2.675550-1900023538 1914 1.000000+6 2.130400-1 1.022000+6 2.040890-1 1.130270+6 1.676680-1900023538 1915 1.250000+6 1.377460-1 1.369310+6 1.162000-1 1.500000+6 9.802470-2900023538 1916 1.611850+6 8.642530-2 1.795470+6 7.154830-2 2.000000+6 5.923220-2900023538 1917 2.044000+6 5.710070-2 2.249780+6 4.896370-2 2.417610+6 4.363130-2900023538 1918 2.693110+6 3.670160-2 3.000000+6 3.087250-2 3.464100+6 2.494860-2900023538 1919 4.000000+6 2.016140-2 4.472140+6 1.724190-2 5.000000+6 1.474520-2900023538 1920 5.477230+6 1.304270-2 6.000000+6 1.153680-2 7.000000+6 9.434520-3900023538 1921 8.000000+6 7.962690-3 9.000000+6 6.874520-3 1.000000+7 6.042130-3900023538 1922 1.100000+7 5.386990-3 1.200000+7 4.855240-3 1.300000+7 4.419980-3900023538 1923 1.400000+7 4.052020-3 1.500000+7 3.742400-3 1.600000+7 3.475400-3900023538 1924 1.800000+7 3.040140-3 2.000000+7 2.699100-3 2.200000+7 2.427620-3900023538 1925 2.400000+7 2.205950-3 2.600000+7 2.020620-3 2.800000+7 1.863790-3900023538 1926 3.000000+7 1.729400-3 3.464100+7 1.482470-3 4.000000+7 1.270800-3900023538 1927 4.472140+7 1.129440-3 5.000000+7 1.003810-3 6.000000+7 8.294750-4900023538 1928 6.928200+7 7.146120-4 8.000000+7 6.156550-4 8.944271+7 5.488750-4900023538 1929 1.000000+8 4.893380-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0900023538 1930 900023 0 1931 9.000000+4 2.300450+2 0 0 0 0900023539 1932 4.831600+3 0.000000+0 0 0 1 119900023539 1933 119 2 0 0 0 0900023539 1934 4.831600+3 0.000000+0 4.831600+3 2.131890+4 5.000000+3 2.085400+4900023539 1935 5.477230+3 1.870590+4 6.000000+3 1.677900+4 6.928201+3 1.349580+4900023539 1936 8.000000+3 1.085500+4 8.944270+3 8.934821+3 1.000000+4 7.354300+3900023539 1937 1.106680+4 6.022790+3 1.194100+4 5.184890+3 1.338340+4 4.141450+3900023539 1938 1.500000+4 3.308000+3 1.624790+4 2.778440+3 1.725160+4 2.437690+3900023539 1939 1.887450+4 2.003290+3 2.065000+4 1.646300+3 2.267100+4 1.320730+3900023539 1940 2.431550+4 1.119550+3 2.562670+4 9.890380+2 2.772730+4 8.212400+2900023539 1941 3.000000+4 6.819100+2 3.223710+4 5.698660+2 3.402370+4 4.980890+2900023539 1942 3.689100+4 4.070130+2 4.000000+4 3.325900+2 4.207960+4 2.913360+2900023539 1943 4.598240+4 2.310700+2 4.914520+4 1.942030+2 5.165930+4 1.704670+2900023539 1944 5.567370+4 1.401900+2 6.000000+4 1.152900+2 6.479590+4 9.343260+1900023539 1945 6.930580+4 7.773510+1 7.350870+4 6.617910+1 7.739479+4 5.748600+1900023539 1946 8.096329+4 5.082150+1 8.760860+4 4.096350+1 9.294820+4 3.484660+1900023539 1947 9.716540+4 3.086610+1 1.038530+5 2.573150+1 1.110000+5 2.145100+1900023539 1948 1.194780+5 1.747820+1 1.274250+5 1.461040+1 1.348110+5 1.248990+1900023539 1949 1.416250+5 1.088850+1 1.543870+5 8.564170+0 1.647090+5 7.152740+0900023539 1950 1.729000+5 6.249030+0 1.859570+5 5.102970+0 2.000000+5 4.167100+0900023539 1951 2.103980+5 3.627660+0 2.199390+5 3.213260+0 2.376880+5 2.598680+0900023539 1952 2.519330+5 2.216200+0 2.749180+5 1.745390+0 3.000000+5 1.374600+0900023539 1953 3.223710+5 1.136580+0 3.402370+5 9.855210-1 3.689100+5 7.957310-1900023539 1954 4.000000+5 6.424900-1 4.207960+5 5.660340-1 4.598240+5 4.534710-1900023539 1955 4.914520+5 3.839990-1 5.165930+5 3.389740-1 5.567370+5 2.811380-1900023539 1956 6.000000+5 2.331700-1 6.447420+5 1.973230-1 6.804750+5 1.741030-1900023539 1957 7.378210+5 1.442950-1 8.000000+5 1.195900-1 8.458970+5 1.059910-1900023539 1958 9.197270+5 8.843550-2 1.000000+6 7.378800-2 1.022000+6 7.057580-2900023539 1959 1.130270+6 5.791730-2 1.250000+6 4.752930-2 1.369310+6 4.017080-2900023539 1960 1.500000+6 3.395160-2 1.611850+6 2.993410-2 1.795470+6 2.478130-2900023539 1961 2.000000+6 2.051550-2 2.044000+6 1.977730-2 2.249780+6 1.695900-2900023539 1962 2.417610+6 1.511200-2 2.693110+6 1.271190-2 3.000000+6 1.069290-2900023539 1963 3.464100+6 8.641120-3 4.000000+6 6.983040-3 4.472140+6 5.971870-3900023539 1964 5.000000+6 5.107120-3 5.477230+6 4.517450-3 6.000000+6 3.995860-3900023539 1965 7.000000+6 3.267720-3 8.000000+6 2.757940-3 9.000000+6 2.381040-3900023539 1966 1.000000+7 2.092740-3 1.100000+7 1.865820-3 1.200000+7 1.681650-3900023539 1967 1.300000+7 1.530890-3 1.400000+7 1.403450-3 1.500000+7 1.296210-3900023539 1968 1.600000+7 1.203730-3 1.800000+7 1.052970-3 2.000000+7 9.348540-4900023539 1969 2.200000+7 8.408250-4 2.400000+7 7.640470-4 2.600000+7 6.998580-4900023539 1970 2.800000+7 6.455390-4 3.000000+7 5.989910-4 3.464100+7 5.134650-4900023539 1971 4.000000+7 4.401510-4 4.472140+7 3.911900-4 5.000000+7 3.476760-4900023539 1972 6.000000+7 2.872950-4 6.928200+7 2.475110-4 8.000000+7 2.132370-4900023539 1973 8.944271+7 1.901070-4 1.000000+8 1.694860-4 0.000000+0 0.000000+0900023539 1974 900023 0 1975 9.000000+4 2.300450+2 0 0 0 0900023540 1976 4.036200+3 0.000000+0 0 0 1 127900023540 1977 127 2 0 0 0 0900023540 1978 4.036200+3 0.000000+0 4.036200+3 7.643240+4 4.492330+3 6.445940+4900023540 1979 5.000000+3 5.436200+4 5.623410+3 4.324300+4 6.141471+3 3.642350+4900023540 1980 6.561100+3 3.202440+4 7.244920+3 2.640160+4 8.000000+3 2.176600+4900023540 1981 8.458970+3 1.931210+4 9.197270+3 1.614000+4 1.000000+4 1.348900+4900023540 1982 1.064030+4 1.166760+4 1.123410+4 1.027680+4 1.235420+4 8.229830+3900023540 1983 1.326690+4 6.966920+3 1.399550+4 6.148630+3 1.516390+4 5.097820+3900023540 1984 1.643000+4 4.226600+3 1.739640+4 3.660240+3 1.895350+4 2.949770+3900023540 1985 2.065000+4 2.377200+3 2.163690+4 2.100200+3 2.347880+4 1.690850+3900023540 1986 2.496250+4 1.437100+3 2.613640+4 1.272100+3 2.800170+4 1.059440+3900023540 1987 3.000000+4 8.823300+2 3.223710+4 7.222780+2 3.402370+4 6.215980+2900023540 1988 3.689100+4 4.962700+2 4.000000+4 3.962100+2 4.207960+4 3.420480+2900023540 1989 4.398770+4 3.007650+2 4.753750+4 2.401450+2 5.038660+4 2.028420+2900023540 1990 5.263490+4 1.787200+2 5.619690+4 1.478060+2 6.000000+4 1.222400+2900023540 1991 6.479590+4 9.685490+1 6.930580+4 7.900710+1 7.350870+4 6.611010+1900023540 1992 7.739479+4 5.656450+1 8.096329+4 4.934990+1 8.760860+4 3.886730+1900023540 1993 9.294820+4 3.249440+1 9.716540+4 2.841030+1 1.038530+5 2.322620+1900023540 1994 1.110000+5 1.898800+1 1.194780+5 1.514180+1 1.274250+5 1.242130+1900023540 1995 1.348110+5 1.044490+1 1.416250+5 8.975340+0 1.478680+5 7.860120+0900023540 1996 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8.988980-3 2.417610+6 8.010050-3900023540 2009 2.693110+6 6.737870-3 3.000000+6 5.667740-3 3.464100+6 4.580190-3900023540 2010 4.000000+6 3.701330-3 4.472140+6 3.165360-3 5.000000+6 2.707000-3900023540 2011 5.477230+6 2.394450-3 6.000000+6 2.117990-3 7.000000+6 1.732040-3900023540 2012 8.000000+6 1.461830-3 9.000000+6 1.262060-3 1.000000+7 1.109250-3900023540 2013 1.100000+7 9.889710-4 1.200000+7 8.913510-4 1.300000+7 8.114420-4900023540 2014 1.400000+7 7.438910-4 1.500000+7 6.870490-4 1.600000+7 6.380330-4900023540 2015 1.800000+7 5.581240-4 2.000000+7 4.955150-4 2.200000+7 4.456750-4900023540 2016 2.400000+7 4.049800-4 2.600000+7 3.709570-4 2.800000+7 3.421650-4900023540 2017 3.000000+7 3.174920-4 3.464100+7 2.721600-4 4.000000+7 2.333000-4900023540 2018 4.472140+7 2.073490-4 5.000000+7 1.842840-4 6.000000+7 1.522790-4900023540 2019 6.928200+7 1.311920-4 8.000000+7 1.130250-4 8.944271+7 1.007650-4900023540 2020 1.000000+8 8.983530-5 0.000000+0 0.000000+0 0.000000+0 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9100 REVISION 0 9100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9100 1451 8 ------ENDF-6 FORMAT 9100 1451 9 ******************************************************************9100 1451 10 * JEF-2 *9100 1451 11 * DATA TAKEN FROM EPDL *9100 1451 12 ******************************************************************9100 1451 13 =================================================================9100 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9100 1451 15 ENDF/B-VI FORMAT 9100 1451 16 =================================================================9100 1451 17 CONTENTS 9100 1451 18 =================================================================9100 1451 19 MF/MT DESCRIPTION 9100 1451 20 =================================================================9100 1451 21 23/501 TOTAL CROSS SECTION 9100 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9100 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9100 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9100 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9100 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9100 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9100 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 54 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 55 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 56 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 57 =================================================================9100 1451 58 27/502 COHERENT SCATTERING FORM FACTORS 9100 1451 59 27/504 INCOHERENT SCATTERING FUNCTIONS 9100 1451 60 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9100 1451 61 27/506 COHERENT REAL SCATTERING FACTOR 9100 1451 62 =================================================================9100 1451 63 WARNING 9100 1451 64 =================================================================9100 1451 65 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9100 1451 66 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9100 1451 67 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9100 1451 68 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9100 1451 69 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9100 1451 70 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9100 1451 71 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9100 1451 72 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9100 1451 73 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9100 1451 74 =================================================================9100 1451 75 DEFINITION OF NEW TYPES OF DATA 9100 1451 76 =================================================================9100 1451 77 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9100 1451 78 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9100 1451 79 9100 1451 80 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9100 1451 81 C2 FIELDS ARE, 9100 1451 82 9100 1451 83 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9100 1451 84 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9100 1451 85 9100 1451 86 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9100 1451 87 9100 1451 88 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9100 1451 89 9100 1451 90 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9100 1451 91 T = THE THOMSON CROSS SECTION 9100 1451 92 MU = THE COSINE OF THE SCATTERING ANGLE 9100 1451 93 FF(M) = THE ATOMIC FORM FACTOR 9100 1451 94 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9100 1451 95 F1(E) = THE REAL SCATTERING FACTOR 9100 1451 96 F2(E) = THE IMAGINARY SCATTERING FACTOR 9100 1451 97 9100 1451 98 F1(E) AND F2(E) ARE ISOTROPIC. 9100 1451 99 9100 1451 100 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9100 1451 101 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9100 1451 102 =================================================================9100 1451 103 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9100 1451 104 =================================================================9100 1451 105 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9100 1451 106 HERE - 10 EV TO 100 MEV 9100 1451 107 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9100 1451 108 - FLUORESCENCE AND ELECTRON SPECTRA 9100 1451 109 HERE - PHOTON INTERACTION 9100 1451 110 - AVERAGE FLUORESCENCE YIELD 9100 1451 111 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9100 1451 112 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9100 1451 113 HERE - NO SECONDARY ENERGY DATA 9100 1451 114 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9100 1451 115 INTERPOLABLE - SUMMATION CROSS SECTIONS 9100 1451 116 (E.G., TOTAL) ARE NOT INCLUDED 9100 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9100 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9100 1451 119 - SCATTERING FACTORS LINEARLY INTERPOLABLE9100 1451 120 (SINCE THEY CAN BE NEGATIVE). 9100 1451 121 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9100 1451 122 ORDER TO ALLOW CROSS SECTIONS DEFINED 9100 1451 123 BY SUMMATION (E.G., TOTAL) TO BE 9100 1451 124 CONSISTENTLY DEFINED AT ALL ENERGIES. 9100 1451 125 - FORM FACTORS ARE LOG X VS. LOG Y 9100 1451 126 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9100 1451 127 - SCATTERING FACTORS LINEARLY INTERPOLABLE9100 1451 128 =================================================================9100 1451 129 REFERENCES 9100 1451 130 =================================================================9100 1451 131 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9100 1451 132 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9100 1451 133 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9100 1451 134 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9100 1451 135 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9100 1451 136 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9100 1451 137 9100 1451 138 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9100 1451 139 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9100 1451 140 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9100 1451 141 OF THE DATA, ETC. 9100 1451 142 =================================================================9100 1451 143 HISTORY 9100 1451 144 =================================================================9100 1451 145 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9100 1451 146 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9100 1451 147 CROSS SECTIONS. 9100 1451 148 =================================================================9100 1451 149 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9100 1451 150 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9100 1451 151 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9100 1451 152 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9100 1451 153 *RECONSTRUCTED MT NUMBERS 9100 1451 154 516 =+(515,515)+(517,517) 9100 1451 155 522 =+(534,572) 9100 1451 156 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9100 1451 157 1 451 198 19100 1451 158 23 501 772 19100 1451 159 23 502 161 19100 1451 160 23 504 30 19100 1451 161 23 515 30 19100 1451 162 23 516 59 19100 1451 163 23 517 42 19100 1451 164 23 522 574 29100 1451 165 23 534 29 29100 1451 166 23 535 35 29100 1451 167 23 536 39 29100 1451 168 23 537 41 29100 1451 169 23 538 40 29100 1451 170 23 539 42 29100 1451 171 23 540 45 29100 1451 172 23 541 53 29100 1451 173 23 542 54 29100 1451 174 23 543 44 29100 1451 175 23 544 46 29100 1451 176 23 545 51 29100 1451 177 23 546 57 29100 1451 178 23 547 58 29100 1451 179 23 548 75 29100 1451 180 23 549 76 29100 1451 181 23 550 49 29100 1451 182 23 551 53 29100 1451 183 23 552 55 29100 1451 184 23 553 65 29100 1451 185 23 554 68 29100 1451 186 23 555 89 29100 1451 187 23 556 88 29100 1451 188 23 559 56 29100 1451 189 23 560 62 29100 1451 190 23 561 64 29100 1451 191 23 562 75 29100 1451 192 23 563 75 29100 1451 193 23 570 61 29100 1451 194 27 502 47 19100 1451 195 27 504 44 19100 1451 196 27 505 137 19100 1451 197 27 506 137 19100 1451 198 9100 1 0 199 9100 0 0 200 9.100000+4 2.290510+2 0 0 0 0910023501 201 0.000000+0 0.000000+0 0 0 1 2306910023501 202 2306 2 0 0 0 0910023501 203 1.000000+1 1.132300+7 1.051990+1 1.070860+7 1.072180+1 1.048660+7910023501 204 1.078990+1 1.041180+7 1.099690+1 1.018630+7 1.106680+1 1.011430+7910023501 205 1.135090+1 9.825390+6 1.143200+1 9.758880+6 1.149560+1 9.710700+6910023501 206 1.154780+1 9.671160+6 1.194100+1 9.373310+6 1.209320+1 9.260430+6910023501 207 1.223530+1 9.157080+6 1.278020+1 8.791060+6 1.287460+1 8.727650+6910023501 208 1.288420+1 8.721640+6 1.321580+1 8.507600+6 1.338340+1 8.399420+6910023501 209 1.345650+1 8.353860+6 1.355400+1 8.293090+6 1.389670+1 8.083690+6910023501 210 1.390190+1 8.080720+6 1.416860+1 7.948390+6 1.499770+1 7.536980+6910023501 211 1.500000+1 7.535840+6 1.541040+1 7.344990+6 1.611850+1 7.015700+6910023501 212 1.613460+1 7.010310+6 1.670870+1 6.818240+6 1.688590+1 6.766020+6910023501 213 1.689290+1 6.763960+6 1.701190+1 6.728900+6 1.732050+1 6.642190+6910023501 214 1.844550+1 6.355710+6 1.861210+1 6.315340+6 1.887140+1 6.278150+6910023501 215 1.905860+1 6.251310+6 1.982630+1 6.141230+6 2.000000+1 6.116320+6910023501 216 2.058440+1 6.076080+6 2.062500+1 6.073920+6 2.085990+1 6.061400+6910023501 217 2.094430+1 6.056900+6 2.099780+1 6.054050+6 2.106760+1 6.050640+6910023501 218 2.143620+1 6.032670+6 2.171680+1 6.018990+6 2.192970+1 6.008620+6910023501 219 2.204540+1 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1.708680-3 5.000000+7 1.518680-3 6.000000+7 1.255000-3910023536 1978 6.928200+7 1.081010-3 8.000000+7 9.311370-4 8.944271+7 8.302260-4910023536 1979 1.000000+8 7.402510-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0910023536 1980 910023 0 1981 9.100000+4 2.290510+2 0 0 0 0910023537 1982 1.674300+4 0.000000+0 0 0 1 114910023537 1983 114 2 0 0 0 0910023537 1984 1.674300+4 0.000000+0 1.674300+4 2.449290+4 1.750960+4 2.163410+4910023537 1985 1.893660+4 1.741040+4 2.008260+4 1.479320+4 2.098740+4 1.309190+4910023537 1986 2.242170+4 1.089960+4 2.395390+4 9.074481+3 2.589810+4 7.200120+3910023537 1987 2.772840+4 5.880560+3 2.943560+4 4.925920+3 3.101550+4 4.218640+3910023537 1988 3.246730+4 3.683590+3 3.517330+4 2.905330+3 3.734980+4 2.431580+3910023537 1989 3.907020+4 2.127690+3 4.180040+4 1.741560+3 4.472140+4 1.425500+3910023537 1990 4.809360+4 1.137870+3 5.125220+4 9.342199+2 5.418570+4 7.861630+2910023537 1991 5.688990+4 6.759950+2 5.936660+4 5.923380+2 6.396300+4 4.700740+2910023537 1992 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2.250070-3910023537 2017 2.000000+7 1.998480-3 2.200000+7 1.797520-3 2.400000+7 1.632960-3910023537 2018 2.600000+7 1.495140-3 2.800000+7 1.379160-3 3.000000+7 1.279790-3910023537 2019 3.464100+7 1.096940-3 4.000000+7 9.402180-4 4.472140+7 8.356680-4910023537 2020 5.000000+7 7.427440-4 6.000000+7 6.137840-4 6.928200+7 5.286900-4910023537 2021 8.000000+7 4.553940-4 8.944271+7 4.060410-4 1.000000+8 3.620360-4910023537 2022 910023 0 2023 9.100000+4 2.290510+2 0 0 0 0910023538 2024 5.334900+3 0.000000+0 0 0 1 111910023538 2025 111 2 0 0 0 0910023538 2026 5.334900+3 0.000000+0 5.334900+3 1.290590+4 5.903600+3 1.117290+4910023538 2027 6.872320+3 8.999750+3 8.000000+3 7.249300+3 8.944270+3 6.086310+3910023538 2028 1.000000+4 5.109900+3 1.137300+4 4.080670+3 1.252510+4 3.447230+3910023538 2029 1.346510+4 3.037560+3 1.500900+4 2.512500+3 1.673000+4 2.078200+3910023538 2030 1.776910+4 1.853520+3 1.945010+4 1.561210+3 2.129000+4 1.315000+3910023538 2031 2.319590+4 1.108240+3 2.473660+4 9.747960+2 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1.617470-1910027506 3911 5.031990+5 1.306280-1 5.302550+5 1.155430-1 5.798350+5 9.349090-2910027506 3912 6.106770+5 7.623700-2 6.312640+5 6.963020-2 6.580760+5 6.189720-2910027506 3913 6.682850+5 5.701410-2 7.185190+5 4.557310-2 7.348570+5 4.216620-2910027506 3914 7.415350+5 3.987520-2 7.532220+5 3.729100-2 7.839000+5 3.150820-2910027506 3915 7.882830+5 3.018700-2 8.238920+5 2.379330-2 8.619970+5 1.760750-2910027506 3916 8.973840+5 1.257400-2 9.457420+5 6.456090-3 9.590240+5 4.827700-3910027506 3917 9.821160+5 2.079420-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0910027506 3918 910027 0 3919 9100 0 0 3920 0 0 0 3921 9.200000+4 2.359840+2 -1 0 2 29200 1451 1 0.000000+0 0.000000+0 0 0 0 69200 1451 2 0.000000+0 0.000000+0 0 0 3 29200 1451 3 0.000000+0 0.000000+0 0 0 153 419200 1451 4 92-U LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9200 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9200 1451 6 ----JEF-2 MATERIAL 9200 REVISION 0 9200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9200 1451 8 ------ENDF-6 FORMAT 9200 1451 9 ******************************************************************9200 1451 10 * JEF-2 *9200 1451 11 * DATA TAKEN FROM EPDL *9200 1451 12 ******************************************************************9200 1451 13 =================================================================9200 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9200 1451 15 ENDF/B-VI FORMAT 9200 1451 16 =================================================================9200 1451 17 CONTENTS 9200 1451 18 =================================================================9200 1451 19 MF/MT DESCRIPTION 9200 1451 20 =================================================================9200 1451 21 23/501 TOTAL CROSS SECTION 9200 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9200 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9200 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9200 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9200 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9200 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9200 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 54 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 55 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 56 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 57 =================================================================9200 1451 58 27/502 COHERENT SCATTERING FORM FACTORS 9200 1451 59 27/504 INCOHERENT SCATTERING FUNCTIONS 9200 1451 60 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9200 1451 61 27/506 COHERENT REAL SCATTERING FACTOR 9200 1451 62 =================================================================9200 1451 63 WARNING 9200 1451 64 =================================================================9200 1451 65 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9200 1451 66 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9200 1451 67 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9200 1451 68 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9200 1451 69 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9200 1451 70 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9200 1451 71 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9200 1451 72 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9200 1451 73 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9200 1451 74 =================================================================9200 1451 75 DEFINITION OF NEW TYPES OF DATA 9200 1451 76 =================================================================9200 1451 77 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9200 1451 78 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9200 1451 79 9200 1451 80 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9200 1451 81 C2 FIELDS ARE, 9200 1451 82 9200 1451 83 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9200 1451 84 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9200 1451 85 9200 1451 86 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9200 1451 87 9200 1451 88 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9200 1451 89 9200 1451 90 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9200 1451 91 T = THE THOMSON CROSS SECTION 9200 1451 92 MU = THE COSINE OF THE SCATTERING ANGLE 9200 1451 93 FF(M) = THE ATOMIC FORM FACTOR 9200 1451 94 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9200 1451 95 F1(E) = THE REAL SCATTERING FACTOR 9200 1451 96 F2(E) = THE IMAGINARY SCATTERING FACTOR 9200 1451 97 9200 1451 98 F1(E) AND F2(E) ARE ISOTROPIC. 9200 1451 99 9200 1451 100 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9200 1451 101 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9200 1451 102 =================================================================9200 1451 103 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9200 1451 104 =================================================================9200 1451 105 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9200 1451 106 HERE - 10 EV TO 100 MEV 9200 1451 107 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9200 1451 108 - FLUORESCENCE AND ELECTRON SPECTRA 9200 1451 109 HERE - PHOTON INTERACTION 9200 1451 110 - AVERAGE FLUORESCENCE YIELD 9200 1451 111 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9200 1451 112 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9200 1451 113 HERE - NO SECONDARY ENERGY DATA 9200 1451 114 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9200 1451 115 INTERPOLABLE - SUMMATION CROSS SECTIONS 9200 1451 116 (E.G., TOTAL) ARE NOT INCLUDED 9200 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9200 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9200 1451 119 - SCATTERING FACTORS LINEARLY INTERPOLABLE9200 1451 120 (SINCE THEY CAN BE NEGATIVE). 9200 1451 121 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9200 1451 122 ORDER TO ALLOW CROSS SECTIONS DEFINED 9200 1451 123 BY SUMMATION (E.G., TOTAL) TO BE 9200 1451 124 CONSISTENTLY DEFINED AT ALL ENERGIES. 9200 1451 125 - FORM FACTORS ARE LOG X VS. LOG Y 9200 1451 126 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9200 1451 127 - SCATTERING FACTORS LINEARLY INTERPOLABLE9200 1451 128 =================================================================9200 1451 129 REFERENCES 9200 1451 130 =================================================================9200 1451 131 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9200 1451 132 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9200 1451 133 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9200 1451 134 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9200 1451 135 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9200 1451 136 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9200 1451 137 9200 1451 138 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9200 1451 139 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9200 1451 140 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9200 1451 141 OF THE DATA, ETC. 9200 1451 142 =================================================================9200 1451 143 HISTORY 9200 1451 144 =================================================================9200 1451 145 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9200 1451 146 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9200 1451 147 CROSS SECTIONS. 9200 1451 148 =================================================================9200 1451 149 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9200 1451 150 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9200 1451 151 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9200 1451 152 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9200 1451 153 *RECONSTRUCTED MT NUMBERS 9200 1451 154 516 =+(515,515)+(517,517) 9200 1451 155 522 =+(534,572) 9200 1451 156 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9200 1451 157 1 451 198 19200 1451 158 23 501 767 19200 1451 159 23 502 162 19200 1451 160 23 504 30 19200 1451 161 23 515 30 19200 1451 162 23 516 59 19200 1451 163 23 517 42 19200 1451 164 23 522 576 29200 1451 165 23 534 28 29200 1451 166 23 535 35 29200 1451 167 23 536 38 29200 1451 168 23 537 41 29200 1451 169 23 538 40 29200 1451 170 23 539 42 29200 1451 171 23 540 45 29200 1451 172 23 541 53 29200 1451 173 23 542 54 29200 1451 174 23 543 44 29200 1451 175 23 544 46 29200 1451 176 23 545 51 29200 1451 177 23 546 57 29200 1451 178 23 547 58 29200 1451 179 23 548 76 29200 1451 180 23 549 76 29200 1451 181 23 550 48 29200 1451 182 23 551 52 29200 1451 183 23 552 54 29200 1451 184 23 553 65 29200 1451 185 23 554 68 29200 1451 186 23 555 91 29200 1451 187 23 556 89 29200 1451 188 23 559 56 29200 1451 189 23 560 62 29200 1451 190 23 561 64 29200 1451 191 23 562 73 29200 1451 192 23 563 74 29200 1451 193 23 570 62 29200 1451 194 27 502 49 19200 1451 195 27 504 46 19200 1451 196 27 505 140 19200 1451 197 27 506 140 19200 1451 198 9200 1 0 199 9200 0 0 200 9.200000+4 2.359840+2 0 0 0 0920023501 201 0.000000+0 0.000000+0 0 0 1 2291920023501 202 2291 2 0 0 0 0920023501 203 1.000000+1 1.150930+7 1.051990+1 1.088810+7 1.099690+1 1.036130+7920023501 204 1.106680+1 1.028870+7 1.109390+1 1.026100+7 1.135090+1 9.998240+6920023501 205 1.143200+1 9.930030+6 1.154780+1 9.840590+6 1.164210+1 9.767770+6920023501 206 1.194100+1 9.536930+6 1.223530+1 9.313490+6 1.224740+1 9.305050+6920023501 207 1.286510+1 8.881560+6 1.287460+1 8.875040+6 1.288420+1 8.868950+6920023501 208 1.321580+1 8.645420+6 1.338340+1 8.532450+6 1.355400+1 8.420530+6920023501 209 1.389670+1 8.199040+6 1.390190+1 8.195920+6 1.423020+1 8.022190+6920023501 210 1.499770+1 7.616060+6 1.500000+1 7.614840+6 1.526740+1 7.486860+6920023501 211 1.599250+1 7.139800+6 1.611850+1 7.079490+6 1.675200+1 6.884070+6920023501 212 1.688590+1 6.842770+6 1.701190+1 6.803900+6 1.732050+1 6.713420+6920023501 213 1.768580+1 6.614340+6 1.795470+1 6.541400+6 1.844550+1 6.435010+6920023501 214 1.861210+1 6.401190+6 1.867160+1 6.394910+6 1.887140+1 6.373840+6920023501 215 2.000000+1 6.254820+6 2.036290+1 6.237120+6 2.075680+1 6.217910+6920023501 216 2.094430+1 6.208760+6 2.116220+1 6.198140+6 2.136190+1 6.204330+6920023501 217 2.198460+1 6.223630+6 2.214950+1 6.228740+6 2.218760+1 6.231820+6920023501 218 2.236680+1 6.246330+6 2.268380+1 6.271980+6 2.292450+1 6.291460+6920023501 219 2.303340+1 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1.551890+7920023501 232 3.000000+1 1.549260+7 3.021280+1 1.535680+7 3.028850+1 1.530850+7920023501 233 3.171410+1 1.439890+7 3.193820+1 1.426240+7 3.229710+1 1.410550+7920023501 234 3.246480+1 1.403240+7 3.343870+1 1.360740+7 3.362290+1 1.352710+7920023501 235 3.375100+1 1.347120+7 3.377870+1 1.345910+7 3.387620+1 1.342810+7920023501 236 3.402000+1 1.338240+7 3.404740+1 1.337210+7 3.409000+1 1.335590+7920023501 237 3.409000+1 2.026940+7 3.421950+1 2.016290+7 3.434440+1 2.006020+7920023501 238 3.446420+1 1.996170+7 3.461570+1 1.983720+7 3.477000+1 1.971030+7920023501 239 3.508870+1 1.944120+7 3.547590+1 1.911430+7 3.639430+1 1.841610+7920023501 240 3.692700+1 1.801110+7 3.703080+1 1.794340+7 3.729340+1 1.779480+7920023501 241 3.991760+1 1.634720+7 3.999640+1 1.630960+7 4.000000+1 1.630790+7920023501 242 4.145940+1 1.554440+7 4.222950+1 1.514150+7 4.229490+1 1.511010+7920023501 243 4.297200+1 1.483380+7 4.405090+1 1.440320+7 4.449600+1 1.424220+7920023501 244 4.485060+1 1.411390+7 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257 6.739150+1 8.080020+6 6.868990+1 7.764410+6 7.000000+1 7.446120+6920023501 258 7.004880+1 7.434820+6 7.142720+1 7.127210+6 7.219000+1 6.956980+6920023501 259 7.453910+1 6.503840+6 7.483310+1 6.447430+6 7.485920+1 6.442540+6920023501 260 7.737350+1 5.991570+6 7.813560+1 5.851790+6 8.000000+1 5.511390+6920023501 261 8.109560+1 5.324420+6 8.209230+1 5.154330+6 8.367530+1 4.884190+6920023501 262 8.385820+1 4.853740+6 8.485280+1 4.688950+6 8.694940+1 4.402470+6920023501 263 8.751940+1 4.324580+6 9.000000+1 3.985740+6 9.051790+1 3.917320+6920023501 264 9.322580+1 3.569480+6 9.486830+1 3.358490+6 9.498870+1 3.345760+6920023501 265 9.513040+1 3.330770+6 9.560230+1 3.280960+6 9.601470+1 3.237500+6920023501 266 9.633270+1 3.204670+6 9.771900+1 3.061540+6 9.838450+1 2.992960+6920023501 267 9.985880+1 2.841020+6 1.000000+2 2.826490+6 1.000320+2 2.823500+6920023501 268 1.001440+2 2.813060+6 1.003550+2 2.793410+6 1.004530+2 2.784460+6920023501 269 1.004800+2 2.782040+6 1.012050+2 2.717070+6 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5.097410-2920023536 1965 3.464100+6 4.117560-2 4.000000+6 3.326060-2 4.472140+6 2.843910-2920023536 1966 5.000000+6 2.431660-2 5.477230+6 2.150470-2 6.000000+6 1.901800-2920023536 1967 7.000000+6 1.555040-2 8.000000+6 1.311580-2 9.000000+6 1.132500-2920023536 1968 1.000000+7 9.953360-3 1.100000+7 8.870160-3 1.200000+7 7.994880-3920023536 1969 1.300000+7 7.273860-3 1.400000+7 6.670220-3 1.500000+7 6.160480-3920023536 1970 1.600000+7 5.717810-3 1.800000+7 5.000150-3 2.000000+7 4.443460-3920023536 1971 2.200000+7 3.994090-3 2.400000+7 3.628550-3 2.600000+7 3.323710-3920023536 1972 2.800000+7 3.065490-3 3.000000+7 2.844490-3 3.464100+7 2.438000-3920023536 1973 4.000000+7 2.089600-3 4.472140+7 1.857180-3 5.000000+7 1.650620-3920023536 1974 6.000000+7 1.363890-3 6.928200+7 1.174900-3 8.000000+7 1.012100-3920023536 1975 8.944271+7 9.023600-4 1.000000+8 8.045180-4 0.000000+0 0.000000+0920023536 1976 920023 0 1977 9.200000+4 2.359840+2 0 0 0 0920023537 1978 1.718200+4 0.000000+0 0 0 1 112920023537 1979 112 2 0 0 0 0920023537 1980 1.718200+4 0.000000+0 1.718200+4 2.376500+4 1.815390+4 2.036290+4920023537 1981 1.904930+4 1.778800+4 2.072380+4 1.404050+4 2.207550+4 1.175770+4920023537 1982 2.314690+4 1.029270+4 2.485230+4 8.430161+3 2.668330+4 6.904690+3920023537 1983 2.806840+4 5.948670+3 2.933910+4 5.221390+3 3.170300+4 4.156010+3920023537 1984 3.360010+4 3.502230+3 3.509700+4 3.080320+3 3.746840+4 2.540820+3920023537 1985 4.000000+4 2.095800+3 4.322990+4 1.650820+3 4.626930+4 1.339700+3920023537 1986 4.910360+4 1.115960+3 5.172570+4 9.510689+2 5.413460+4 8.269030+2920023537 1987 5.862330+4 6.473340+2 6.223240+4 5.387460+2 6.508430+4 4.694360+2920023537 1988 6.960910+4 3.818240+2 7.444840+4 3.105640+2 7.778040+4 2.705150+2920023537 1989 8.103940+4 2.376720+2 8.752270+4 1.864580+2 9.361970+4 1.507850+2920023537 1990 9.930190+4 1.252160+2 1.045560+5 1.064270+2 1.093810+5 9.231460+1920023537 1991 1.137850+5 8.150990+1 1.219230+5 6.555500+1 1.284070+5 5.567400+1920023537 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1.151590+5-6.024290+0 1.153820+5-6.225970+0920027506 3899 1.156320+5-6.403170+0 1.161050+5-6.519240+0 1.165790+5-6.342590+0920027506 3900 1.170750+5-5.909450+0 1.173800+5-5.553040+0 1.179450+5-4.955720+0920027506 3901 1.184570+5-4.477140+0 1.194310+5-3.859080+0 1.213370+5-3.132480+0920027506 3902 1.229000+5-2.714870+0 1.256500+5-2.169770+0 1.277460+5-1.852070+0920027506 3903 1.308920+5-1.478190+0 1.340960+5-1.208710+0 1.401060+5-8.276550-1920027506 3904 1.426650+5-6.938420-1 1.509910+5-3.928620-1 1.534920+5-3.167150-1920027506 3905 1.608720+5-1.595360-1 1.635760+5-1.009160-1 1.666380+5-4.285570-2920027506 3906 1.672140+5-3.172760-2 1.697400+5-3.228070-3 1.716340+5 1.841570-2920027506 3907 1.775720+5 8.684320-2 1.811730+5 1.219520-1 1.825840+5 1.362280-1920027506 3908 1.868000+5 1.531250-1 1.957100+5 2.228390-1 2.001660+5 2.531940-1920027506 3909 2.038380+5 2.673770-1 2.072770+5 2.698600-1 2.117350+5 2.805000-1920027506 3910 2.151150+5 2.799220-1 2.230130+5 2.990880-1 2.297840+5 3.158020-1920027506 3911 2.337040+5 3.182660-1 2.355630+5 3.124030-1 2.406720+5 3.139360-1920027506 3912 2.535630+5 3.266090-1 2.571690+5 3.236390-1 2.752930+5 3.011000-1920027506 3913 2.942720+5 2.996700-1 2.989390+5 2.939480-1 3.109840+5 2.823740-1920027506 3914 3.329280+5 2.673900-1 3.611430+5 2.391810-1 3.880460+5 2.157820-1920027506 3915 4.041870+5 1.959310-1 4.507190+5 1.613170-1 4.881730+5 1.394110-1920027506 3916 5.349110+5 1.126600-1 5.800140+5 9.296890-2 6.073490+5 7.723310-2920027506 3917 6.629790+5 5.814880-2 6.659960+5 5.639480-2 7.085680+5 4.698330-2920027506 3918 7.528970+5 3.831180-2 7.564760+5 3.683110-2 7.641510+5 3.484090-2920027506 3919 7.776000+5 3.237250-2 8.128360+5 2.720780-2 8.301070+5 2.371550-2920027506 3920 8.504140+5 2.037120-2 8.538260+5 1.963740-2 8.575460+5 1.853220-2920027506 3921 9.019330+5 1.214220-2 9.457420+5 6.568240-3 9.821170+5 2.128410-3920027506 3922 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0920027506 3923 920027 0 3924 9200 0 0 3925 0 0 0 3926 9.300000+4 2.350120+2 -1 0 2 29300 1451 1 0.000000+0 0.000000+0 0 0 0 69300 1451 2 0.000000+0 0.000000+0 0 0 3 29300 1451 3 0.000000+0 0.000000+0 0 0 153 419300 1451 4 93-NP LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9300 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9300 1451 6 ----JEF-2 MATERIAL 9300 REVISION 0 9300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9300 1451 8 ------ENDF-6 FORMAT 9300 1451 9 ******************************************************************9300 1451 10 * JEF-2 *9300 1451 11 * DATA TAKEN FROM EPDL *9300 1451 12 ******************************************************************9300 1451 13 =================================================================9300 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9300 1451 15 ENDF/B-VI FORMAT 9300 1451 16 =================================================================9300 1451 17 CONTENTS 9300 1451 18 =================================================================9300 1451 19 MF/MT DESCRIPTION 9300 1451 20 =================================================================9300 1451 21 23/501 TOTAL CROSS SECTION 9300 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9300 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9300 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9300 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9300 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9300 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9300 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 54 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 55 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 56 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 57 =================================================================9300 1451 58 27/502 COHERENT SCATTERING FORM FACTORS 9300 1451 59 27/504 INCOHERENT SCATTERING FUNCTIONS 9300 1451 60 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9300 1451 61 27/506 COHERENT REAL SCATTERING FACTOR 9300 1451 62 =================================================================9300 1451 63 WARNING 9300 1451 64 =================================================================9300 1451 65 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9300 1451 66 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9300 1451 67 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9300 1451 68 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9300 1451 69 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9300 1451 70 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9300 1451 71 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9300 1451 72 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9300 1451 73 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9300 1451 74 =================================================================9300 1451 75 DEFINITION OF NEW TYPES OF DATA 9300 1451 76 =================================================================9300 1451 77 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9300 1451 78 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9300 1451 79 9300 1451 80 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9300 1451 81 C2 FIELDS ARE, 9300 1451 82 9300 1451 83 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9300 1451 84 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9300 1451 85 9300 1451 86 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9300 1451 87 9300 1451 88 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9300 1451 89 9300 1451 90 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9300 1451 91 T = THE THOMSON CROSS SECTION 9300 1451 92 MU = THE COSINE OF THE SCATTERING ANGLE 9300 1451 93 FF(M) = THE ATOMIC FORM FACTOR 9300 1451 94 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9300 1451 95 F1(E) = THE REAL SCATTERING FACTOR 9300 1451 96 F2(E) = THE IMAGINARY SCATTERING FACTOR 9300 1451 97 9300 1451 98 F1(E) AND F2(E) ARE ISOTROPIC. 9300 1451 99 9300 1451 100 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9300 1451 101 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9300 1451 102 =================================================================9300 1451 103 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9300 1451 104 =================================================================9300 1451 105 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9300 1451 106 HERE - 10 EV TO 100 MEV 9300 1451 107 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9300 1451 108 - FLUORESCENCE AND ELECTRON SPECTRA 9300 1451 109 HERE - PHOTON INTERACTION 9300 1451 110 - AVERAGE FLUORESCENCE YIELD 9300 1451 111 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9300 1451 112 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9300 1451 113 HERE - NO SECONDARY ENERGY DATA 9300 1451 114 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9300 1451 115 INTERPOLABLE - SUMMATION CROSS SECTIONS 9300 1451 116 (E.G., TOTAL) ARE NOT INCLUDED 9300 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9300 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9300 1451 119 - SCATTERING FACTORS LINEARLY INTERPOLABLE9300 1451 120 (SINCE THEY CAN BE NEGATIVE). 9300 1451 121 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9300 1451 122 ORDER TO ALLOW CROSS SECTIONS DEFINED 9300 1451 123 BY SUMMATION (E.G., TOTAL) TO BE 9300 1451 124 CONSISTENTLY DEFINED AT ALL ENERGIES. 9300 1451 125 - FORM FACTORS ARE LOG X VS. LOG Y 9300 1451 126 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9300 1451 127 - SCATTERING FACTORS LINEARLY INTERPOLABLE9300 1451 128 =================================================================9300 1451 129 REFERENCES 9300 1451 130 =================================================================9300 1451 131 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9300 1451 132 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9300 1451 133 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9300 1451 134 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9300 1451 135 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9300 1451 136 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9300 1451 137 9300 1451 138 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9300 1451 139 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9300 1451 140 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9300 1451 141 OF THE DATA, ETC. 9300 1451 142 =================================================================9300 1451 143 HISTORY 9300 1451 144 =================================================================9300 1451 145 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9300 1451 146 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9300 1451 147 CROSS SECTIONS. 9300 1451 148 =================================================================9300 1451 149 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9300 1451 150 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9300 1451 151 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9300 1451 152 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9300 1451 153 *RECONSTRUCTED MT NUMBERS 9300 1451 154 516 =+(515,515)+(517,517) 9300 1451 155 522 =+(534,572) 9300 1451 156 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9300 1451 157 1 451 198 19300 1451 158 23 501 762 19300 1451 159 23 502 160 19300 1451 160 23 504 30 19300 1451 161 23 515 30 19300 1451 162 23 516 59 19300 1451 163 23 517 42 19300 1451 164 23 522 573 29300 1451 165 23 534 28 29300 1451 166 23 535 35 29300 1451 167 23 536 38 29300 1451 168 23 537 41 29300 1451 169 23 538 40 29300 1451 170 23 539 42 29300 1451 171 23 540 45 29300 1451 172 23 541 53 29300 1451 173 23 542 54 29300 1451 174 23 543 45 29300 1451 175 23 544 46 29300 1451 176 23 545 49 29300 1451 177 23 546 56 29300 1451 178 23 547 58 29300 1451 179 23 548 75 29300 1451 180 23 549 76 29300 1451 181 23 550 48 29300 1451 182 23 551 52 29300 1451 183 23 552 54 29300 1451 184 23 553 65 29300 1451 185 23 554 68 29300 1451 186 23 555 90 29300 1451 187 23 556 89 29300 1451 188 23 559 56 29300 1451 189 23 560 61 29300 1451 190 23 561 64 29300 1451 191 23 562 73 29300 1451 192 23 563 75 29300 1451 193 23 570 62 29300 1451 194 27 502 47 19300 1451 195 27 504 45 19300 1451 196 27 505 139 19300 1451 197 27 506 139 19300 1451 198 9300 1 0 199 9300 0 0 200 9.300000+4 2.350120+2 0 0 0 0930023501 201 0.000000+0 0.000000+0 0 0 1 2277930023501 202 2277 2 0 0 0 0930023501 203 1.000000+1 1.153620+7 1.012000+1 1.139630+7 1.012000+1 1.161910+7930023501 204 1.033000+1 1.137870+7 1.051990+1 1.116500+7 1.065250+1 1.102890+7930023501 205 1.099690+1 1.067530+7 1.133960+1 1.035790+7 1.134750+1 1.035080+7930023501 206 1.154780+1 1.016980+7 1.188440+1 9.865590+6 1.216110+1 9.639510+6930023501 207 1.232070+1 9.505470+6 1.242490+1 9.419010+6 1.259670+1 9.276460+6930023501 208 1.315870+1 8.838590+6 1.321580+1 8.796580+6 1.335260+1 8.695930+6930023501 209 1.350610+1 8.582990+6 1.359450+1 8.520430+6 1.398680+1 8.248520+6930023501 210 1.404920+1 8.207250+6 1.415400+1 8.142210+6 1.499770+1 7.618590+6930023501 211 1.500000+1 7.617160+6 1.500340+1 7.615400+6 1.597610+1 7.112760+6930023501 212 1.611850+1 7.039170+6 1.683240+1 6.782750+6 1.688590+1 6.764820+6930023501 213 1.701190+1 6.722590+6 1.732050+1 6.624410+6 1.776520+1 6.493780+6930023501 214 1.787430+1 6.463500+6 1.835210+1 6.330870+6 1.844550+1 6.307860+6930023501 215 1.861210+1 6.269360+6 1.878050+1 6.246560+6 1.887140+1 6.234250+6930023501 216 1.910980+1 6.201970+6 2.000000+1 6.100170+6 2.067490+1 6.052940+6930023501 217 2.089280+1 6.037700+6 2.094430+1 6.036400+6 2.123870+1 6.028990+6930023501 218 2.130630+1 6.027290+6 2.131970+1 6.028130+6 2.181790+1 6.074640+6930023501 219 2.207160+1 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5.189880-2 1.909200+5 1.524180-1930027506 3887 1.930920+5 1.676350-1 1.975840+5 1.799550-1 2.068280+5 2.353640-1930027506 3888 2.104270+5 2.544680-1 2.136380+5 2.645150-1 2.165150+5 2.628900-1930027506 3889 2.267910+5 2.866390-1 2.299120+5 2.851670-1 2.337670+5 2.884320-1930027506 3890 2.435030+5 3.040150-1 2.475350+5 3.033120-1 2.496120+5 2.990690-1930027506 3891 2.629870+5 3.028740-1 2.678370+5 2.951610-1 2.837670+5 2.944780-1930027506 3892 2.879900+5 2.862900-1 3.057590+5 2.819280-1 3.109840+5 2.746490-1930027506 3893 3.130860+5 2.705360-1 3.275970+5 2.638140-1 3.370600+5 2.595320-1930027506 3894 3.441320+5 2.501650-1 3.695420+5 2.266640-1 3.738810+5 2.212860-1930027506 3895 3.985770+5 2.033820-1 4.028110+5 1.977180-1 4.061790+5 1.920030-1930027506 3896 4.151780+5 1.845900-1 4.386670+5 1.697090-1 4.426730+5 1.647720-1930027506 3897 4.768180+5 1.448850-1 5.234800+5 1.186460-1 5.603490+5 1.012710-1930027506 3898 5.822040+5 9.142090-2 6.073490+5 7.671040-2 6.534060+5 6.092690-2930027506 3899 6.629790+5 5.780460-2 6.682870+5 5.503980-2 6.804750+5 5.157620-2930027506 3900 7.023900+5 4.769340-2 7.304220+5 4.319490-2 7.396160+5 4.074690-2930027506 3901 7.451660+5 3.816940-2 7.810890+5 3.159470-2 8.386170+5 2.177140-2930027506 3902 8.944270+5 1.217950-2 9.808630+5 2.111800-3 9.821170+5 1.967810-3930027506 3903 9.854760+5 1.592760-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0930027506 3904 930027 0 3905 9300 0 0 3906 0 0 0 3907 9.400000+4 2.419680+2 -1 0 2 29400 1451 1 0.000000+0 0.000000+0 0 0 0 69400 1451 2 0.000000+0 0.000000+0 0 0 3 29400 1451 3 0.000000+0 0.000000+0 0 0 151 399400 1451 4 94-PU LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9400 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9400 1451 6 ----JEF-2 MATERIAL 9400 REVISION 0 9400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9400 1451 8 ------ENDF-6 FORMAT 9400 1451 9 ******************************************************************9400 1451 10 * JEF-2 *9400 1451 11 * DATA TAKEN FROM EPDL *9400 1451 12 ******************************************************************9400 1451 13 =================================================================9400 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9400 1451 15 ENDF/B-VI FORMAT 9400 1451 16 =================================================================9400 1451 17 CONTENTS 9400 1451 18 =================================================================9400 1451 19 MF/MT DESCRIPTION 9400 1451 20 =================================================================9400 1451 21 23/501 TOTAL CROSS SECTION 9400 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9400 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9400 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9400 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9400 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9400 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9400 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 55 =================================================================9400 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 9400 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 9400 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9400 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 9400 1451 60 =================================================================9400 1451 61 WARNING 9400 1451 62 =================================================================9400 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9400 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9400 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9400 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9400 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9400 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9400 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9400 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9400 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9400 1451 72 =================================================================9400 1451 73 DEFINITION OF NEW TYPES OF DATA 9400 1451 74 =================================================================9400 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9400 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9400 1451 77 9400 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9400 1451 79 C2 FIELDS ARE, 9400 1451 80 9400 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9400 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9400 1451 83 9400 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9400 1451 85 9400 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9400 1451 87 9400 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9400 1451 89 T = THE THOMSON CROSS SECTION 9400 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 9400 1451 91 FF(M) = THE ATOMIC FORM FACTOR 9400 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9400 1451 93 F1(E) = THE REAL SCATTERING FACTOR 9400 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 9400 1451 95 9400 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 9400 1451 97 9400 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9400 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9400 1451 100 =================================================================9400 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9400 1451 102 =================================================================9400 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9400 1451 104 HERE - 10 EV TO 100 MEV 9400 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9400 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 9400 1451 107 HERE - PHOTON INTERACTION 9400 1451 108 - AVERAGE FLUORESCENCE YIELD 9400 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9400 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9400 1451 111 HERE - NO SECONDARY ENERGY DATA 9400 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9400 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 9400 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 9400 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 9400 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9400 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE9400 1451 118 (SINCE THEY CAN BE NEGATIVE). 9400 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9400 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 9400 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 9400 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 9400 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 9400 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9400 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE9400 1451 126 =================================================================9400 1451 127 REFERENCES 9400 1451 128 =================================================================9400 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9400 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9400 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9400 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9400 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9400 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9400 1451 135 9400 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9400 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9400 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9400 1451 139 OF THE DATA, ETC. 9400 1451 140 =================================================================9400 1451 141 HISTORY 9400 1451 142 =================================================================9400 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9400 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9400 1451 145 CROSS SECTIONS. 9400 1451 146 =================================================================9400 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9400 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9400 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9400 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9400 1451 151 *RECONSTRUCTED MT NUMBERS 9400 1451 152 516 =+(515,515)+(517,517) 9400 1451 153 522 =+(534,572) 9400 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9400 1451 155 1 451 194 19400 1451 156 23 501 750 19400 1451 157 23 502 163 19400 1451 158 23 504 30 19400 1451 159 23 515 30 19400 1451 160 23 516 59 19400 1451 161 23 517 42 19400 1451 162 23 522 556 29400 1451 163 23 534 28 29400 1451 164 23 535 34 29400 1451 165 23 536 38 29400 1451 166 23 537 41 29400 1451 167 23 538 40 29400 1451 168 23 539 42 29400 1451 169 23 540 45 29400 1451 170 23 541 53 29400 1451 171 23 542 53 29400 1451 172 23 543 45 29400 1451 173 23 544 45 29400 1451 174 23 545 50 29400 1451 175 23 546 57 29400 1451 176 23 547 60 29400 1451 177 23 548 74 29400 1451 178 23 549 76 29400 1451 179 23 550 48 29400 1451 180 23 551 51 29400 1451 181 23 552 54 29400 1451 182 23 553 65 29400 1451 183 23 554 67 29400 1451 184 23 555 88 29400 1451 185 23 556 87 29400 1451 186 23 559 56 29400 1451 187 23 560 62 29400 1451 188 23 561 65 29400 1451 189 23 570 62 29400 1451 190 27 502 48 19400 1451 191 27 504 45 19400 1451 192 27 505 144 19400 1451 193 27 506 144 19400 1451 194 9400 1 0 195 9400 0 0 196 9.400000+4 2.419680+2 0 0 0 0940023501 197 0.000000+0 0.000000+0 0 0 1 2240940023501 198 2240 2 0 0 0 0940023501 199 1.000000+1 3.008430+6 1.051990+1 2.922860+6 1.061270+1 2.914320+6940023501 200 1.099690+1 2.878940+6 1.126300+1 2.874350+6 1.154780+1 2.869430+6940023501 201 1.164220+1 2.867790+6 1.179440+1 2.866710+6 1.188440+1 2.866070+6940023501 202 1.224740+1 2.887120+6 1.235080+1 2.895730+6 1.259670+1 2.916230+6940023501 203 1.315870+1 2.984690+6 1.321580+1 2.993550+6 1.329440+1 3.005740+6940023501 204 1.355400+1 3.046020+6 1.404920+1 3.133810+6 1.499770+1 3.332000+6940023501 205 1.500000+1 3.332480+6 1.519740+1 3.393560+6 1.611850+1 3.678550+6940023501 206 1.635690+1 3.756330+6 1.685090+1 3.917480+6 1.688590+1 3.929770+6940023501 207 1.701190+1 3.974010+6 1.730620+1 4.081440+6 1.793570+1 4.311220+6940023501 208 1.844550+1 4.497310+6 1.858820+1 4.551210+6 1.872300+1 4.602120+6940023501 209 1.887140+1 4.664960+6 1.893500+1 4.691900+6 1.946720+1 4.917260+6940023501 210 2.000000+1 5.142880+6 2.001450+1 5.149180+6 2.006410+1 5.170720+6940023501 211 2.026020+1 5.262720+6 2.069740+1 5.467830+6 2.094430+1 5.583670+6940023501 212 2.103150+1 5.624580+6 2.128570+1 5.743840+6 2.167260+1 5.925350+6940023501 213 2.185860+1 6.012620+6 2.206660+1 6.111610+6 2.224880+1 6.198330+6940023501 214 2.238650+1 6.263870+6 2.259460+1 6.362920+6 2.280460+1 6.462870+6940023501 215 2.290640+1 6.511330+6 2.295270+1 6.533370+6 2.299480+1 6.553410+6940023501 216 2.303330+1 6.571740+6 2.305710+1 6.583080+6 2.307940+1 6.593700+6940023501 217 2.310040+1 6.603690+6 2.312940+1 6.617510+6 2.315610+1 6.630220+6940023501 218 2.318800+1 6.645410+6 2.322890+1 6.664890+6 2.327370+1 6.686230+6940023501 219 2.332400+1 6.710190+6 2.337000+1 6.732090+6 2.342000+1 6.755160+6940023501 220 2.342000+1 3.101760+7 2.352100+1 3.067960+7 2.360980+1 3.038240+7940023501 221 2.369310+1 3.010360+7 2.380980+1 2.971300+7 2.389000+1 2.944460+7940023501 222 2.432660+1 2.798460+7 2.453290+1 2.729480+7 2.486930+1 2.641180+7940023501 223 2.528960+1 2.530850+7 2.540220+1 2.501330+7 2.542410+1 2.496940+7940023501 224 2.546440+1 2.488850+7 2.637770+1 2.305650+7 2.676430+1 2.228100+7940023501 225 2.736700+1 2.142250+7 2.754430+1 2.116990+7 2.808450+1 2.040180+7940023501 226 2.819930+1 2.023850+7 2.833970+1 2.012160+7 3.000000+1 1.863110+7940023501 227 3.021280+1 1.852720+7 3.042350+1 1.842440+7 3.221800+1 1.754840+7940023501 228 3.223710+1 1.753910+7 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3.185880+1 1.672750+5 2.720860+1940023537 1952 1.748880+5 2.370010+1 1.890550+5 1.861340+1 2.004280+5 1.552860+1940023537 1953 2.094050+5 1.355540+1 2.236290+5 1.105560+1 2.388200+5 9.016780+0940023537 1954 2.496230+5 7.899430+0 2.697170+5 6.266840+0 2.858430+5 5.267910+0940023537 1955 2.985660+5 4.624670+0 3.187210+5 3.804030+0 3.402370+5 3.129010+0940023537 1956 3.570100+5 2.732130+0 3.883760+5 2.154840+0 4.136970+5 1.803430+0940023537 1957 4.337640+5 1.578030+0 4.657060+5 1.291620+0 5.000000+5 1.057200+0940023537 1958 5.328120+5 8.948020-1 5.588260+5 7.895950-1 6.002490+5 6.545160-1940023537 1959 6.447420+5 5.425460-1 6.972870+5 4.479790-1 7.394870+5 3.880380-1940023537 1960 8.076250+5 3.128230-1 8.820400+5 2.521870-1 9.391700+5 2.184750-1940023537 1961 1.000000+6 1.892700-1 1.022000+6 1.806640-1 1.130270+6 1.479660-1940023537 1962 1.250000+6 1.211860-1 1.369310+6 1.027660-1 1.500000+6 8.714550-2940023537 1963 1.611850+6 7.682100-2 1.795470+6 6.358180-2 2.000000+6 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1.695400-1 1.369310+6 1.430130-1940023538 2004 1.500000+6 1.206370-1 1.611850+6 1.063450-1 1.795470+6 8.801740-2940023538 2005 2.000000+6 7.284860-2 2.044000+6 7.022270-2 2.249780+6 6.019640-2940023538 2006 2.417610+6 5.362790-2 2.693110+6 4.509420-2 3.000000+6 3.791840-2940023538 2007 3.464100+6 3.063040-2 4.000000+6 2.474320-2 4.472140+6 2.114870-2940023538 2008 5.000000+6 1.807630-2 5.477230+6 1.598340-2 6.000000+6 1.413280-2940023538 2009 7.000000+6 1.154980-2 8.000000+6 9.741070-3 9.000000+6 8.407700-3940023538 2010 1.000000+7 7.389000-3 1.100000+7 6.583090-3 1.200000+7 5.933380-3940023538 2011 1.300000+7 5.399130-3 1.400000+7 4.950900-3 1.500000+7 4.570580-3940023538 2012 1.600000+7 4.242340-3 1.800000+7 3.710350-3 2.000000+7 3.296070-3940023538 2013 2.200000+7 2.963300-3 2.400000+7 2.691640-3 2.600000+7 2.465260-3940023538 2014 2.800000+7 2.272840-3 3.000000+7 2.109170-3 3.464100+7 1.807580-3940023538 2015 4.000000+7 1.549110-3 4.472140+7 1.376760-3 5.000000+7 1.223580-3940023538 2016 6.000000+7 1.011010-3 6.928200+7 8.707750-4 8.000000+7 7.499920-4940023538 2017 8.944271+7 6.686080-4 1.000000+8 5.960550-4 0.000000+0 0.000000+0940023538 2018 940023 0 2019 9.400000+4 2.419680+2 0 0 0 0940023539 2020 5.548500+3 0.000000+0 0 0 1 115940023539 2021 115 2 0 0 0 0940023539 2022 5.548500+3 0.000000+0 5.548500+3 1.777220+4 6.200090+3 1.567230+4940023539 2023 6.928201+3 1.382060+4 7.593911+3 1.202530+4 8.714300+3 9.760050+3940023539 2024 1.000000+4 7.921500+3 1.106680+4 6.632330+3 1.224740+4 5.552970+3940023539 2025 1.355400+4 4.556350+3 1.500000+4 3.738600+3 1.611850+4 3.218040+3940023539 2026 1.795470+4 2.569900+3 2.000000+4 2.052300+3 2.213360+4 1.630800+3940023539 2027 2.388200+4 1.372520+3 2.528320+4 1.206030+3 2.754080+4 9.933830+2940023539 2028 3.000000+4 8.182300+2 3.223710+4 6.874930+2 3.402370+4 6.033410+2940023539 2029 3.689100+4 4.960270+2 4.000000+4 4.078000+2 4.207960+4 3.584620+2940023539 2030 4.598240+4 2.860460+2 4.914520+4 2.415080+2 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2.085800-3 9.876590+5 1.360680-3 1.000000+6 0.000000+0940027506 3730 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0940027506 3731 940027 0 3732 9400 0 0 3733 0 0 0 3734 9.500000+4 2.409120+2 -1 0 2 29500 1451 1 0.000000+0 0.000000+0 0 0 0 69500 1451 2 0.000000+0 0.000000+0 0 0 3 29500 1451 3 0.000000+0 0.000000+0 0 0 151 399500 1451 4 95-AM LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9500 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9500 1451 6 ----JEF-2 MATERIAL 9500 REVISION 0 9500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9500 1451 8 ------ENDF-6 FORMAT 9500 1451 9 ******************************************************************9500 1451 10 * JEF-2 *9500 1451 11 * DATA TAKEN FROM EPDL *9500 1451 12 ******************************************************************9500 1451 13 =================================================================9500 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9500 1451 15 ENDF/B-VI FORMAT 9500 1451 16 =================================================================9500 1451 17 CONTENTS 9500 1451 18 =================================================================9500 1451 19 MF/MT DESCRIPTION 9500 1451 20 =================================================================9500 1451 21 23/501 TOTAL CROSS SECTION 9500 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9500 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9500 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9500 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9500 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9500 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9500 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 55 =================================================================9500 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 9500 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 9500 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9500 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 9500 1451 60 =================================================================9500 1451 61 WARNING 9500 1451 62 =================================================================9500 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9500 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9500 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9500 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9500 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9500 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9500 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9500 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9500 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9500 1451 72 =================================================================9500 1451 73 DEFINITION OF NEW TYPES OF DATA 9500 1451 74 =================================================================9500 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9500 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9500 1451 77 9500 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9500 1451 79 C2 FIELDS ARE, 9500 1451 80 9500 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9500 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9500 1451 83 9500 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9500 1451 85 9500 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9500 1451 87 9500 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9500 1451 89 T = THE THOMSON CROSS SECTION 9500 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 9500 1451 91 FF(M) = THE ATOMIC FORM FACTOR 9500 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9500 1451 93 F1(E) = THE REAL SCATTERING FACTOR 9500 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 9500 1451 95 9500 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 9500 1451 97 9500 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9500 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9500 1451 100 =================================================================9500 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9500 1451 102 =================================================================9500 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9500 1451 104 HERE - 10 EV TO 100 MEV 9500 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9500 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 9500 1451 107 HERE - PHOTON INTERACTION 9500 1451 108 - AVERAGE FLUORESCENCE YIELD 9500 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9500 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9500 1451 111 HERE - NO SECONDARY ENERGY DATA 9500 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9500 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 9500 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 9500 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 9500 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9500 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE9500 1451 118 (SINCE THEY CAN BE NEGATIVE). 9500 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9500 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 9500 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 9500 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 9500 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 9500 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9500 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE9500 1451 126 =================================================================9500 1451 127 REFERENCES 9500 1451 128 =================================================================9500 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9500 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9500 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9500 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9500 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9500 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9500 1451 135 9500 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9500 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9500 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9500 1451 139 OF THE DATA, ETC. 9500 1451 140 =================================================================9500 1451 141 HISTORY 9500 1451 142 =================================================================9500 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9500 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9500 1451 145 CROSS SECTIONS. 9500 1451 146 =================================================================9500 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9500 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9500 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9500 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9500 1451 151 *RECONSTRUCTED MT NUMBERS 9500 1451 152 516 =+(515,515)+(517,517) 9500 1451 153 522 =+(534,572) 9500 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9500 1451 155 1 451 194 19500 1451 156 23 501 740 19500 1451 157 23 502 163 19500 1451 158 23 504 30 19500 1451 159 23 515 30 19500 1451 160 23 516 59 19500 1451 161 23 517 42 19500 1451 162 23 522 541 29500 1451 163 23 534 28 29500 1451 164 23 535 35 29500 1451 165 23 536 38 29500 1451 166 23 537 41 29500 1451 167 23 538 39 29500 1451 168 23 539 42 29500 1451 169 23 540 45 29500 1451 170 23 541 52 29500 1451 171 23 542 54 29500 1451 172 23 543 44 29500 1451 173 23 544 45 29500 1451 174 23 545 49 29500 1451 175 23 546 56 29500 1451 176 23 547 57 29500 1451 177 23 548 74 29500 1451 178 23 549 75 29500 1451 179 23 550 48 29500 1451 180 23 551 51 29500 1451 181 23 552 54 29500 1451 182 23 553 65 29500 1451 183 23 554 67 29500 1451 184 23 555 87 29500 1451 185 23 556 86 29500 1451 186 23 559 56 29500 1451 187 23 560 62 29500 1451 188 23 561 65 29500 1451 189 23 570 63 29500 1451 190 27 502 47 19500 1451 191 27 504 44 19500 1451 192 27 505 143 19500 1451 193 27 506 143 19500 1451 194 9500 1 0 195 9500 0 0 196 9.500000+4 2.409120+2 0 0 0 0950023501 197 0.000000+0 0.000000+0 0 0 1 2211950023501 198 2211 2 0 0 0 0950023501 199 1.000000+1 3.222070+6 1.051990+1 3.078830+6 1.088750+1 3.006070+6950023501 200 1.099690+1 2.984410+6 1.148710+1 2.926660+6 1.154780+1 2.919500+6950023501 201 1.188440+1 2.879840+6 1.211980+1 2.868560+6 1.259670+1 2.845700+6950023501 202 1.266780+1 2.845230+6 1.286400+1 2.843940+6 1.288420+1 2.843810+6950023501 203 1.315870+1 2.849600+6 1.324050+1 2.854260+6 1.355400+1 2.872120+6950023501 204 1.404920+1 2.918670+6 1.422010+1 2.940570+6 1.500000+1 3.040520+6950023501 205 1.506510+1 3.056650+6 1.512470+1 3.071410+6 1.611850+1 3.317580+6950023501 206 1.640250+1 3.393110+6 1.693490+1 3.534700+6 1.701190+1 3.557480+6950023501 207 1.732050+1 3.653440+6 1.747770+1 3.708540+6 1.778280+1 3.815470+6950023501 208 1.809050+1 3.923310+6 1.844550+1 4.047740+6 1.872480+1 4.149490+6950023501 209 1.916420+1 4.309560+6 1.950040+1 4.432040+6 1.980960+1 4.544680+6950023501 210 2.000000+1 4.614040+6 2.001600+1 4.620030+6 2.031510+1 4.731890+6950023501 211 2.054510+1 4.827270+6 2.095880+1 5.013320+6 2.101290+1 5.037650+6950023501 212 2.127450+1 5.156820+6 2.151440+1 5.266100+6 2.187930+1 5.432320+6950023501 213 2.225040+1 5.601370+6 2.249190+1 5.711380+6 2.262930+1 5.773970+6950023501 214 2.267470+1 5.794900+6 2.295170+1 5.922600+6 2.323210+1 6.051870+6950023501 215 2.334930+1 6.105910+6 2.341330+1 6.135420+6 2.345630+1 6.155240+6950023501 216 2.349550+1 6.173320+6 2.351980+1 6.184530+6 2.354260+1 6.195050+6950023501 217 2.356390+1 6.204870+6 2.359360+1 6.218570+6 2.362080+1 6.231120+6950023501 218 2.365340+1 6.246150+6 2.369500+1 6.265350+6 2.374070+1 6.286430+6950023501 219 2.379200+1 6.310100+6 2.389000+1 6.355300+6 2.389000+1 3.158990+7950023501 220 2.397740+1 3.127440+7 2.406090+1 3.097290+7 2.415200+1 3.064400+7950023501 221 2.421280+1 3.042440+7 2.425300+1 3.027930+7 2.428300+1 3.017100+7950023501 222 2.437000+1 2.985680+7 2.441440+1 2.969750+7 2.471170+1 2.863070+7950023501 223 2.493220+1 2.783950+7 2.501270+1 2.760980+7 2.566980+1 2.573490+7950023501 224 2.574360+1 2.552450+7 2.581960+1 2.535620+7 2.701050+1 2.271950+7950023501 225 2.710290+1 2.257110+7 2.775060+1 2.153090+7 2.833970+1 2.058630+7950023501 226 2.854720+1 2.038450+7 2.895140+1 1.999130+7 3.000000+1 1.897130+7950023501 227 3.017080+1 1.886930+7 3.136630+1 1.815550+7 3.156520+1 1.808100+7950023501 228 3.279480+1 1.762010+7 3.353330+1 1.734430+7 3.380350+1 1.729860+7950023501 229 3.410140+1 1.724810+7 3.450210+1 1.718030+7 3.466040+1 1.715350+7950023501 230 3.479190+1 1.713120+7 3.492040+1 1.710950+7 3.510760+1 1.707780+7950023501 231 3.514000+1 1.707230+7 3.514000+1 2.711590+7 3.529580+1 2.694350+7950023501 232 3.543090+1 2.679400+7 3.555760+1 2.665380+7 3.573520+1 2.645730+7950023501 233 3.585000+1 2.633020+7 3.617590+1 2.598970+7 3.749130+1 2.461520+7950023501 234 3.781590+1 2.435760+7 3.786820+1 2.432050+7 3.829340+1 2.401830+7950023501 235 3.871160+1 2.372110+7 3.962420+1 2.307260+7 4.000000+1 2.282760+7950023501 236 4.127730+1 2.216960+7 4.229490+1 2.170700+7 4.358740+1 2.123840+7950023501 237 4.433790+1 2.096620+7 4.472140+1 2.084740+7 4.514760+1 2.075650+7950023501 238 4.678140+1 2.040770+7 4.728710+1 2.031550+7 4.813090+1 2.011710+7950023501 239 4.835490+1 2.007730+7 4.870200+1 2.001560+7 5.000000+1 1.982010+7950023501 240 5.019410+1 1.977710+7 5.085760+1 1.962990+7 5.173180+1 1.946600+7950023501 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8.854000+1 8.653970+4 7.366140+1950023538 1967 9.269890+4 6.270880+1 9.844679+4 5.446980+1 1.037680+5 4.815360+1950023538 1968 1.137810+5 3.881130+1 1.219200+5 3.301450+1 1.284040+5 2.924250+1950023538 1969 1.387830+5 2.437700+1 1.500000+5 2.032100+1 1.635760+5 1.651750+1950023538 1970 1.764600+5 1.377830+1 1.885620+5 1.175680+1 1.998310+5 1.023280+1950023538 1971 2.102420+5 9.062340+0 2.297840+5 7.326840+0 2.456240+5 6.247040+0950023538 1972 2.582160+5 5.542970+0 2.783250+5 4.632810+0 3.000000+5 3.872100+0950023538 1973 3.197810+5 3.341820+0 3.381560+5 2.937750+0 3.728900+5 2.344610+0950023538 1974 4.012620+5 1.979760+0 4.239490+5 1.743890+0 4.604070+5 1.441720+0950023538 1975 5.000000+5 1.191900+0 5.302550+5 1.050260+0 5.876740+5 8.416880-1950023538 1976 6.347820+5 7.129190-1 6.725750+5 6.294440-1 7.335260+5 5.221950-1950023538 1977 8.000000+5 4.332200-1 8.944270+5 3.454800-1 1.000000+6 2.755100-1950023538 1978 1.022000+6 2.639660-1 1.130270+6 2.169450-1 1.250000+6 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1.251200+5-6.335100+0 1.255210+5-6.434120+0950027506 3667 1.259890+5-6.304970+0 1.265520+5-5.887590+0 1.268510+5-5.578760+0950027506 3668 1.274990+5-4.961890+0 1.278070+5-4.668980+0 1.290040+5-3.910670+0950027506 3669 1.300760+5-3.448090+0 1.319530+5-2.891200+0 1.347680+5-2.321640+0950027506 3670 1.375830+5-1.932540+0 1.435250+5-1.358890+0 1.465770+5-1.137970+0950027506 3671 1.496520+5-9.707160-1 1.566410+5-6.514940-1 1.604630+5-5.085780-1950027506 3672 1.643940+5-4.039730-1 1.746810+5-1.778090-1 1.808780+5-9.896710-2950027506 3673 1.882500+5-8.885270-4 1.911270+5 3.752880-2 1.933000+5 5.805980-2950027506 3674 2.003010+5 9.869890-2 2.076100+5 1.564320-1 2.130910+5 1.886300-1950027506 3675 2.185160+5 1.987510-1 2.266110+5 2.280600-1 2.319940+5 2.318380-1950027506 3676 2.437980+5 2.600760-1 2.468410+5 2.627810-1 2.492520+5 2.592160-1950027506 3677 2.624580+5 2.691130-1 2.645050+5 2.675330-1 2.668810+5 2.637700-1950027506 3678 2.824870+5 2.688080-1 2.933070+5 2.612740-1 3.054510+5 2.630630-1950027506 3679 3.100810+5 2.592700-1 3.133010+5 2.529880-1 3.246210+5 2.495650-1950027506 3680 3.343320+5 2.483670-1 3.390920+5 2.439520-1 3.435360+5 2.365740-1950027506 3681 3.651980+5 2.246010-1 3.689100+5 2.195870-1 3.709930+5 2.156320-1950027506 3682 3.796950+5 2.091650-1 3.964790+5 2.007070-1 4.018320+5 1.953300-1950027506 3683 4.060570+5 1.870720-1 4.113140+5 1.817070-1 4.354070+5 1.684430-1950027506 3684 4.410200+5 1.636120-1 4.451860+5 1.597370-1 4.959950+5 1.320210-1950027506 3685 5.302550+5 1.127940-1 5.700090+5 9.547590-2 5.822050+5 9.010590-2950027506 3686 6.072610+5 7.532220-2 6.183830+5 7.102690-2 6.555980+5 6.061750-2950027506 3687 6.619240+5 5.778590-2 6.654700+5 5.555190-2 7.109580+5 4.536670-2950027506 3688 7.426810+5 3.924170-2 7.451660+5 3.802300-2 7.499790+5 3.651440-2950027506 3689 7.590050+5 3.451860-2 7.776550+5 3.174300-2 8.016740+5 2.885390-2950027506 3690 8.114360+5 2.736000-2 8.192240+5 2.568090-2 8.226280+5 2.450390-2950027506 3691 8.820400+5 1.409960-2 8.944270+5 1.208160-2 9.111020+5 1.004410-2950027506 3692 9.590240+5 4.519330-3 9.808000+5 2.110550-3 1.000000+6 0.000000+0950027506 3693 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0950027506 3694 950027 0 3695 9500 0 0 3696 0 0 0 3697 9.600000+4 2.448780+2 -1 0 2 29600 1451 1 0.000000+0 0.000000+0 0 0 0 69600 1451 2 0.000000+0 0.000000+0 0 0 3 29600 1451 3 0.000000+0 0.000000+0 0 0 153 419600 1451 4 96-CM LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9600 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9600 1451 6 ----JEF-2 MATERIAL 9600 REVISION 0 9600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9600 1451 8 ------ENDF-6 FORMAT 9600 1451 9 ******************************************************************9600 1451 10 * JEF-2 *9600 1451 11 * DATA TAKEN FROM EPDL *9600 1451 12 ******************************************************************9600 1451 13 =================================================================9600 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9600 1451 15 ENDF/B-VI FORMAT 9600 1451 16 =================================================================9600 1451 17 CONTENTS 9600 1451 18 =================================================================9600 1451 19 MF/MT DESCRIPTION 9600 1451 20 =================================================================9600 1451 21 23/501 TOTAL CROSS SECTION 9600 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9600 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9600 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9600 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9600 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9600 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9600 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 54 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 55 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 56 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 57 =================================================================9600 1451 58 27/502 COHERENT SCATTERING FORM FACTORS 9600 1451 59 27/504 INCOHERENT SCATTERING FUNCTIONS 9600 1451 60 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9600 1451 61 27/506 COHERENT REAL SCATTERING FACTOR 9600 1451 62 =================================================================9600 1451 63 WARNING 9600 1451 64 =================================================================9600 1451 65 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9600 1451 66 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9600 1451 67 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9600 1451 68 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9600 1451 69 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9600 1451 70 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9600 1451 71 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9600 1451 72 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9600 1451 73 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9600 1451 74 =================================================================9600 1451 75 DEFINITION OF NEW TYPES OF DATA 9600 1451 76 =================================================================9600 1451 77 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9600 1451 78 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9600 1451 79 9600 1451 80 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9600 1451 81 C2 FIELDS ARE, 9600 1451 82 9600 1451 83 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9600 1451 84 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9600 1451 85 9600 1451 86 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9600 1451 87 9600 1451 88 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9600 1451 89 9600 1451 90 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9600 1451 91 T = THE THOMSON CROSS SECTION 9600 1451 92 MU = THE COSINE OF THE SCATTERING ANGLE 9600 1451 93 FF(M) = THE ATOMIC FORM FACTOR 9600 1451 94 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9600 1451 95 F1(E) = THE REAL SCATTERING FACTOR 9600 1451 96 F2(E) = THE IMAGINARY SCATTERING FACTOR 9600 1451 97 9600 1451 98 F1(E) AND F2(E) ARE ISOTROPIC. 9600 1451 99 9600 1451 100 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9600 1451 101 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9600 1451 102 =================================================================9600 1451 103 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9600 1451 104 =================================================================9600 1451 105 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9600 1451 106 HERE - 10 EV TO 100 MEV 9600 1451 107 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9600 1451 108 - FLUORESCENCE AND ELECTRON SPECTRA 9600 1451 109 HERE - PHOTON INTERACTION 9600 1451 110 - AVERAGE FLUORESCENCE YIELD 9600 1451 111 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9600 1451 112 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9600 1451 113 HERE - NO SECONDARY ENERGY DATA 9600 1451 114 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9600 1451 115 INTERPOLABLE - SUMMATION CROSS SECTIONS 9600 1451 116 (E.G., TOTAL) ARE NOT INCLUDED 9600 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9600 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9600 1451 119 - SCATTERING FACTORS LINEARLY INTERPOLABLE9600 1451 120 (SINCE THEY CAN BE NEGATIVE). 9600 1451 121 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9600 1451 122 ORDER TO ALLOW CROSS SECTIONS DEFINED 9600 1451 123 BY SUMMATION (E.G., TOTAL) TO BE 9600 1451 124 CONSISTENTLY DEFINED AT ALL ENERGIES. 9600 1451 125 - FORM FACTORS ARE LOG X VS. LOG Y 9600 1451 126 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9600 1451 127 - SCATTERING FACTORS LINEARLY INTERPOLABLE9600 1451 128 =================================================================9600 1451 129 REFERENCES 9600 1451 130 =================================================================9600 1451 131 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9600 1451 132 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9600 1451 133 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9600 1451 134 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9600 1451 135 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9600 1451 136 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9600 1451 137 9600 1451 138 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9600 1451 139 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9600 1451 140 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9600 1451 141 OF THE DATA, ETC. 9600 1451 142 =================================================================9600 1451 143 HISTORY 9600 1451 144 =================================================================9600 1451 145 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9600 1451 146 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9600 1451 147 CROSS SECTIONS. 9600 1451 148 =================================================================9600 1451 149 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9600 1451 150 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9600 1451 151 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9600 1451 152 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9600 1451 153 *RECONSTRUCTED MT NUMBERS 9600 1451 154 516 =+(515,515)+(517,517) 9600 1451 155 522 =+(534,572) 9600 1451 156 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9600 1451 157 1 451 198 19600 1451 158 23 501 757 19600 1451 159 23 502 159 19600 1451 160 23 504 30 19600 1451 161 23 515 30 19600 1451 162 23 516 59 19600 1451 163 23 517 42 19600 1451 164 23 522 570 29600 1451 165 23 534 28 29600 1451 166 23 535 35 29600 1451 167 23 536 37 29600 1451 168 23 537 41 29600 1451 169 23 538 39 29600 1451 170 23 539 41 29600 1451 171 23 540 45 29600 1451 172 23 541 52 29600 1451 173 23 542 54 29600 1451 174 23 543 44 29600 1451 175 23 544 45 29600 1451 176 23 545 49 29600 1451 177 23 546 56 29600 1451 178 23 547 57 29600 1451 179 23 548 74 29600 1451 180 23 549 75 29600 1451 181 23 550 47 29600 1451 182 23 551 51 29600 1451 183 23 552 53 29600 1451 184 23 553 66 29600 1451 185 23 554 66 29600 1451 186 23 555 88 29600 1451 187 23 556 86 29600 1451 188 23 559 56 29600 1451 189 23 560 62 29600 1451 190 23 561 65 29600 1451 191 23 562 73 29600 1451 192 23 563 75 29600 1451 193 23 570 62 29600 1451 194 27 502 47 19600 1451 195 27 504 44 19600 1451 196 27 505 140 19600 1451 197 27 506 140 19600 1451 198 9600 1 0 199 9600 0 0 200 9.600000+4 2.448780+2 0 0 0 0960023501 201 0.000000+0 0.000000+0 0 0 1 2260960023501 202 2260 2 0 0 0 0960023501 203 1.000000+1 1.130580+7 1.051990+1 1.065690+7 1.064340+1 1.051840+7960023501 204 1.099690+1 1.012170+7 1.132820+1 9.792600+6 1.154780+1 9.574470+6960023501 205 1.185210+1 9.272210+6 1.188440+1 9.240130+6 1.195000+1 9.182270+6960023501 206 1.195000+1 1.011430+7 1.213650+1 9.937790+6 1.219000+1 9.887150+6960023501 207 1.259670+1 9.483980+6 1.286400+1 9.236470+6 1.315870+1 8.963580+6960023501 208 1.332750+1 8.816760+6 1.348000+1 8.684120+6 1.348000+1 9.236880+6960023501 209 1.373720+1 9.006970+6 1.375000+1 8.995530+6 1.404920+1 8.745630+6960023501 210 1.500000+1 8.001920+6 1.512470+1 7.920000+6 1.576030+1 7.502450+6960023501 211 1.611850+1 7.267130+6 1.655920+1 7.016350+6 1.701190+1 6.784710+6960023501 212 1.732050+1 6.633780+6 1.758560+1 6.509660+6 1.771420+1 6.449450+6960023501 213 1.778280+1 6.418490+6 1.844550+1 6.119390+6 1.861210+1 6.053580+6960023501 214 1.867570+1 6.034160+6 1.920700+1 5.871930+6 1.980960+1 5.697260+6960023501 215 2.000000+1 5.642070+6 2.023200+1 5.595330+6 2.154630+1 5.330540+6960023501 216 2.203240+1 5.305080+6 2.247360+1 5.281980+6 2.278390+1 5.265730+6960023501 217 2.315210+1 5.270870+6 2.340510+1 5.274400+6 2.385100+1 5.295560+6960023501 218 2.409270+1 5.307030+6 2.410140+1 5.307770+6 2.425300+1 5.320620+6960023501 219 2.432270+1 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4.179530+4-2.323830-1960027506 3837 4.207960+4-2.243850-1 4.254870+4-2.015090-1 4.270950+4-1.920030-1960027506 3838 4.348220+4-1.567500-1 4.426750+4-1.247420-1 4.555660+4-7.759070-2960027506 3839 4.610480+4-6.587700-2 4.682210+4-5.910680-2 4.712720+4-5.470550-2960027506 3840 4.769760+4-4.851110-2 4.803060+4-4.608050-2 4.865500+4-3.963720-2960027506 3841 4.870260+4-3.896780-2 4.894130+4-3.884380-2 5.043810+4-3.524860-2960027506 3842 5.079660+4-3.217560-2 5.120630+4-3.366420-2 5.193290+4-4.034330-2960027506 3843 5.221370+4-4.333630-2 5.263490+4-4.744500-2 5.293270+4-5.055000-2960027506 3844 5.350370+4-6.235050-2 5.374330+4-6.672460-2 5.437800+4-7.720460-2960027506 3845 5.582270+4-1.019170-1 5.654660+4-1.129880-1 5.813940+4-1.547310-1960027506 3846 5.876740+4-1.703770-1 6.231830+4-2.450580-1 6.294030+4-2.621460-1960027506 3847 6.417990+4-2.998020-1 6.845290+4-4.091000-1 7.067380+4-4.786030-1960027506 3848 7.385070+4-5.716680-1 7.660420+4-6.611590-1 8.000000+4-7.754360-1960027506 3849 8.456750+4-9.190440-1 9.309040+4-1.234760+0 9.664340+4-1.379480+0960027506 3850 1.023080+5-1.625620+0 1.113220+5-2.131300+0 1.177800+5-2.690090+0960027506 3851 1.208380+5-3.089980+0 1.239850+5-3.714020+0 1.252120+5-4.110980+0960027506 3852 1.260230+5-4.490890+0 1.265520+5-4.830310+0 1.268550+5-5.065160+0960027506 3853 1.270940+5-5.270370+0 1.274020+5-5.550270+0 1.275790+5-5.713050+0960027506 3854 1.278040+5-5.912070+0 1.281100+5-6.144410+0 1.284040+5-6.298600+0960027506 3855 1.288250+5-6.395800+0 1.293200+5-6.256930+0 1.297780+5-5.928850+0960027506 3856 1.302180+5-5.510940+0 1.308640+5-4.900770+0 1.313040+5-4.518210+0960027506 3857 1.318730+5-4.135050+0 1.329760+5-3.636740+0 1.350450+5-3.011870+0960027506 3858 1.369000+5-2.611880+0 1.401620+5-2.089080+0 1.447750+5-1.562580+0960027506 3859 1.472480+5-1.354710+0 1.500000+5-1.182640+0 1.566410+5-8.336870-1960027506 3860 1.597250+5-6.977480-1 1.702580+5-3.909540-1 1.738250+5-3.038530-1960027506 3861 1.825910+5-1.623460-1 1.873000+5-8.335960-2 1.929480+5-6.569530-3960027506 3862 1.935160+5 1.251500-3 1.942910+5 1.196110-2 1.947320+5 1.787520-2960027506 3863 1.955810+5 2.234410-2 2.026650+5 6.145060-2 2.088550+5 9.842180-2960027506 3864 2.203240+5 1.715290-1 2.231130+5 1.831590-1 2.286410+5 1.893660-1960027506 3865 2.397580+5 2.297520-1 2.444360+5 2.439190-1 2.474370+5 2.487780-1960027506 3866 2.510180+5 2.446200-1 2.631750+5 2.578240-1 2.660370+5 2.562280-1960027506 3867 2.681450+5 2.539940-1 2.843350+5 2.637130-1 2.877650+5 2.607860-1960027506 3868 3.097330+5 2.459080-1 3.141500+5 2.421110-1 3.274990+5 2.375370-1960027506 3869 3.325070+5 2.303420-1 3.533890+5 2.219430-1 3.583750+5 2.146540-1960027506 3870 3.799020+5 2.048280-1 3.844690+5 2.005310-1 3.883760+5 1.936930-1960027506 3871 3.955010+5 1.887910-1 4.239490+5 1.803090-1 4.302290+5 1.756440-1960027506 3872 4.410200+5 1.626540-1 4.514340+5 1.519080-1 4.966950+5 1.248600-1960027506 3873 5.019950+5 1.197300-1 5.085820+5 1.162970-1 5.421840+5 1.068500-1960027506 3874 5.508170+5 1.027190-1 5.546100+5 9.984250-2 6.009420+5 8.044220-2960027506 3875 6.561630+5 6.328310-2 6.816570+5 5.107600-2 6.832060+5 5.008420-2960027506 3876 6.884970+5 4.783620-2 7.394870+5 3.779790-2 7.682820+5 3.302430-2960027506 3877 8.052980+5 2.381320-2 8.365840+5 1.930400-2 8.820400+5 1.320970-2960027506 3878 8.973840+5 1.132160-2 9.267020+5 7.966300-3 9.691080+5 3.267170-3960027506 3879 9.809200+5 2.009730-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0960027506 3880 960027 0 3881 9600 0 0 3882 0 0 0 3883 9.700000+4 2.448780+2 -1 0 2 29700 1451 1 0.000000+0 0.000000+0 0 0 0 69700 1451 2 0.000000+0 0.000000+0 0 0 3 29700 1451 3 0.000000+0 0.000000+0 0 0 153 419700 1451 4 97-BK LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9700 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9700 1451 6 ----JEF-2 MATERIAL 9700 REVISION 0 9700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9700 1451 8 ------ENDF-6 FORMAT 9700 1451 9 ******************************************************************9700 1451 10 * JEF-2 *9700 1451 11 * DATA TAKEN FROM EPDL *9700 1451 12 ******************************************************************9700 1451 13 =================================================================9700 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9700 1451 15 ENDF/B-VI FORMAT 9700 1451 16 =================================================================9700 1451 17 CONTENTS 9700 1451 18 =================================================================9700 1451 19 MF/MT DESCRIPTION 9700 1451 20 =================================================================9700 1451 21 23/501 TOTAL CROSS SECTION 9700 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9700 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9700 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9700 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9700 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9700 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9700 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 54 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 55 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 56 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 57 =================================================================9700 1451 58 27/502 COHERENT SCATTERING FORM FACTORS 9700 1451 59 27/504 INCOHERENT SCATTERING FUNCTIONS 9700 1451 60 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9700 1451 61 27/506 COHERENT REAL SCATTERING FACTOR 9700 1451 62 =================================================================9700 1451 63 WARNING 9700 1451 64 =================================================================9700 1451 65 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9700 1451 66 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9700 1451 67 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9700 1451 68 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9700 1451 69 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9700 1451 70 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9700 1451 71 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9700 1451 72 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9700 1451 73 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9700 1451 74 =================================================================9700 1451 75 DEFINITION OF NEW TYPES OF DATA 9700 1451 76 =================================================================9700 1451 77 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9700 1451 78 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9700 1451 79 9700 1451 80 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9700 1451 81 C2 FIELDS ARE, 9700 1451 82 9700 1451 83 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9700 1451 84 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9700 1451 85 9700 1451 86 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9700 1451 87 9700 1451 88 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9700 1451 89 9700 1451 90 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9700 1451 91 T = THE THOMSON CROSS SECTION 9700 1451 92 MU = THE COSINE OF THE SCATTERING ANGLE 9700 1451 93 FF(M) = THE ATOMIC FORM FACTOR 9700 1451 94 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9700 1451 95 F1(E) = THE REAL SCATTERING FACTOR 9700 1451 96 F2(E) = THE IMAGINARY SCATTERING FACTOR 9700 1451 97 9700 1451 98 F1(E) AND F2(E) ARE ISOTROPIC. 9700 1451 99 9700 1451 100 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9700 1451 101 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9700 1451 102 =================================================================9700 1451 103 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9700 1451 104 =================================================================9700 1451 105 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9700 1451 106 HERE - 10 EV TO 100 MEV 9700 1451 107 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9700 1451 108 - FLUORESCENCE AND ELECTRON SPECTRA 9700 1451 109 HERE - PHOTON INTERACTION 9700 1451 110 - AVERAGE FLUORESCENCE YIELD 9700 1451 111 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9700 1451 112 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9700 1451 113 HERE - NO SECONDARY ENERGY DATA 9700 1451 114 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9700 1451 115 INTERPOLABLE - SUMMATION CROSS SECTIONS 9700 1451 116 (E.G., TOTAL) ARE NOT INCLUDED 9700 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9700 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9700 1451 119 - SCATTERING FACTORS LINEARLY INTERPOLABLE9700 1451 120 (SINCE THEY CAN BE NEGATIVE). 9700 1451 121 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9700 1451 122 ORDER TO ALLOW CROSS SECTIONS DEFINED 9700 1451 123 BY SUMMATION (E.G., TOTAL) TO BE 9700 1451 124 CONSISTENTLY DEFINED AT ALL ENERGIES. 9700 1451 125 - FORM FACTORS ARE LOG X VS. LOG Y 9700 1451 126 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9700 1451 127 - SCATTERING FACTORS LINEARLY INTERPOLABLE9700 1451 128 =================================================================9700 1451 129 REFERENCES 9700 1451 130 =================================================================9700 1451 131 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9700 1451 132 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9700 1451 133 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9700 1451 134 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9700 1451 135 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9700 1451 136 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9700 1451 137 9700 1451 138 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9700 1451 139 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9700 1451 140 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9700 1451 141 OF THE DATA, ETC. 9700 1451 142 =================================================================9700 1451 143 HISTORY 9700 1451 144 =================================================================9700 1451 145 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9700 1451 146 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9700 1451 147 CROSS SECTIONS. 9700 1451 148 =================================================================9700 1451 149 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9700 1451 150 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9700 1451 151 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9700 1451 152 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9700 1451 153 *RECONSTRUCTED MT NUMBERS 9700 1451 154 516 =+(515,515)+(517,517) 9700 1451 155 522 =+(534,572) 9700 1451 156 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9700 1451 157 1 451 198 19700 1451 158 23 501 742 19700 1451 159 23 502 156 19700 1451 160 23 504 30 19700 1451 161 23 515 30 19700 1451 162 23 516 59 19700 1451 163 23 517 42 19700 1451 164 23 522 554 29700 1451 165 23 534 28 29700 1451 166 23 535 34 29700 1451 167 23 536 38 29700 1451 168 23 537 41 29700 1451 169 23 538 39 29700 1451 170 23 539 41 29700 1451 171 23 540 45 29700 1451 172 23 541 52 29700 1451 173 23 542 53 29700 1451 174 23 543 43 29700 1451 175 23 544 44 29700 1451 176 23 545 48 29700 1451 177 23 546 56 29700 1451 178 23 547 59 29700 1451 179 23 548 75 29700 1451 180 23 549 75 29700 1451 181 23 550 46 29700 1451 182 23 551 51 29700 1451 183 23 552 53 29700 1451 184 23 553 66 29700 1451 185 23 554 66 29700 1451 186 23 555 87 29700 1451 187 23 556 86 29700 1451 188 23 559 54 29700 1451 189 23 560 61 29700 1451 190 23 561 64 29700 1451 191 23 562 73 29700 1451 192 23 563 74 29700 1451 193 23 570 61 29700 1451 194 27 502 46 19700 1451 195 27 504 44 19700 1451 196 27 505 135 19700 1451 197 27 506 135 19700 1451 198 9700 1 0 199 9700 0 0 200 9.700000+4 2.448780+2 0 0 0 0970023501 201 0.000000+0 0.000000+0 0 0 1 2216970023501 202 2216 2 0 0 0 0970023501 203 1.000000+1 1.135270+7 1.051990+1 1.065390+7 1.064320+1 1.050500+7970023501 204 1.099690+1 1.007770+7 1.132780+1 9.724090+6 1.144550+1 9.598320+6970023501 205 1.154780+1 9.498700+6 1.188440+1 9.170900+6 1.252440+1 8.624910+6970023501 206 1.259670+1 8.563230+6 1.278710+1 8.414300+6 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8.944270+3 9.705680+3 1.000000+4 8.238600+3970023539 2010 1.078990+4 7.227500+3 1.209320+4 5.938680+3 1.355400+4 4.879680+3970023539 2011 1.493850+4 4.027780+3 1.606900+4 3.487950+3 1.792710+4 2.810790+3970023539 2012 2.000000+4 2.265100+3 2.125860+4 1.985660+3 2.329660+4 1.629790+3970023539 2013 2.553000+4 1.337700+3 2.700390+4 1.173830+3 2.979100+4 9.338620+2970023539 2014 3.206850+4 7.866690+2 3.389020+4 6.917100+2 3.681860+4 5.703240+2970023539 2015 4.000000+4 4.702400+2 4.207960+4 4.144760+2 4.598240+4 3.323260+2970023539 2016 4.914520+4 2.815870+2 5.165930+4 2.486840+2 5.567370+4 2.063970+2970023539 2017 6.000000+4 1.713000+2 6.395620+4 1.449540+2 6.763120+4 1.252480+2970023539 2018 7.101970+4 1.102160+2 7.736310+4 8.811910+1 8.248979+4 7.450580+1970023539 2019 8.655660+4 6.569470+1 9.303579+4 5.439260+1 1.000000+5 4.503500+1970023539 2020 1.090510+5 3.567300+1 1.176400+5 2.909250+1 1.257080+5 2.433840+1970023539 2021 1.332210+5 2.082040+1 1.401620+5 1.816190+1 1.531900+5 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1.781190-2970027506 3824 8.882500+5 1.251540-2 9.032680+5 1.092240-2 9.808040+5 2.045070-3970027506 3825 9.843830+5 1.653330-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0970027506 3826 970027 0 3827 9700 0 0 3828 0 0 0 3829 9.800000+4 2.488440+2 -1 0 2 29800 1451 1 0.000000+0 0.000000+0 0 0 0 69800 1451 2 0.000000+0 0.000000+0 0 0 3 29800 1451 3 0.000000+0 0.000000+0 0 0 151 399800 1451 4 98-CF LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9800 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9800 1451 6 ----JEF-2 MATERIAL 9800 REVISION 0 9800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9800 1451 8 ------ENDF-6 FORMAT 9800 1451 9 ******************************************************************9800 1451 10 * JEF-2 *9800 1451 11 * DATA TAKEN FROM EPDL *9800 1451 12 ******************************************************************9800 1451 13 =================================================================9800 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9800 1451 15 ENDF/B-VI FORMAT 9800 1451 16 =================================================================9800 1451 17 CONTENTS 9800 1451 18 =================================================================9800 1451 19 MF/MT DESCRIPTION 9800 1451 20 =================================================================9800 1451 21 23/501 TOTAL CROSS SECTION 9800 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9800 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9800 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9800 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9800 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9800 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9800 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 55 =================================================================9800 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 9800 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 9800 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9800 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 9800 1451 60 =================================================================9800 1451 61 WARNING 9800 1451 62 =================================================================9800 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9800 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9800 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9800 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9800 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9800 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9800 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9800 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9800 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9800 1451 72 =================================================================9800 1451 73 DEFINITION OF NEW TYPES OF DATA 9800 1451 74 =================================================================9800 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9800 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9800 1451 77 9800 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9800 1451 79 C2 FIELDS ARE, 9800 1451 80 9800 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9800 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9800 1451 83 9800 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9800 1451 85 9800 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9800 1451 87 9800 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9800 1451 89 T = THE THOMSON CROSS SECTION 9800 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 9800 1451 91 FF(M) = THE ATOMIC FORM FACTOR 9800 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9800 1451 93 F1(E) = THE REAL SCATTERING FACTOR 9800 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 9800 1451 95 9800 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 9800 1451 97 9800 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9800 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9800 1451 100 =================================================================9800 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9800 1451 102 =================================================================9800 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9800 1451 104 HERE - 10 EV TO 100 MEV 9800 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9800 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 9800 1451 107 HERE - PHOTON INTERACTION 9800 1451 108 - AVERAGE FLUORESCENCE YIELD 9800 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9800 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9800 1451 111 HERE - NO SECONDARY ENERGY DATA 9800 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9800 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 9800 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 9800 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 9800 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9800 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE9800 1451 118 (SINCE THEY CAN BE NEGATIVE). 9800 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9800 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 9800 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 9800 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 9800 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 9800 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9800 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE9800 1451 126 =================================================================9800 1451 127 REFERENCES 9800 1451 128 =================================================================9800 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9800 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9800 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9800 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9800 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9800 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9800 1451 135 9800 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9800 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9800 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9800 1451 139 OF THE DATA, ETC. 9800 1451 140 =================================================================9800 1451 141 HISTORY 9800 1451 142 =================================================================9800 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9800 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9800 1451 145 CROSS SECTIONS. 9800 1451 146 =================================================================9800 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9800 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9800 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9800 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9800 1451 151 *RECONSTRUCTED MT NUMBERS 9800 1451 152 516 =+(515,515)+(517,517) 9800 1451 153 522 =+(534,572) 9800 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9800 1451 155 1 451 194 19800 1451 156 23 501 750 19800 1451 157 23 502 154 19800 1451 158 23 504 30 19800 1451 159 23 515 30 19800 1451 160 23 516 59 19800 1451 161 23 517 42 19800 1451 162 23 522 565 29800 1451 163 23 534 28 29800 1451 164 23 535 34 29800 1451 165 23 536 37 29800 1451 166 23 537 41 29800 1451 167 23 538 39 29800 1451 168 23 539 41 29800 1451 169 23 540 44 29800 1451 170 23 541 52 29800 1451 171 23 542 53 29800 1451 172 23 543 43 29800 1451 173 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4.486430+4-2.591570-1980027506 3655 4.526800+4-2.519950-1 4.654390+4-2.041230-1 4.753750+4-1.660580-1980027506 3656 4.776750+4-1.583970-1 4.819050+4-1.502960-1 4.894130+4-1.414500-1980027506 3657 4.943140+4-1.341740-1 5.115100+4-9.639880-2 5.126630+4-9.494980-2980027506 3658 5.209110+4-9.228410-2 5.263490+4-9.802400-2 5.350420+4-1.078080-1980027506 3659 5.515010+4-1.214520-1 5.576890+4-1.235100-1 5.706790+4-1.310460-1980027506 3660 5.878750+4-1.470690-1 6.026220+4-1.735510-1 6.194650+4-2.092960-1980027506 3661 6.395620+4-2.457930-1 6.576800+4-2.862360-1 6.719640+4-3.287410-1980027506 3662 7.191330+4-4.372200-1 7.788920+4-6.134980-1 8.215970+4-7.436680-1980027506 3663 8.956640+4-9.691350-1 9.811090+4-1.254760+0 1.073390+5-1.618240+0980027506 3664 1.155330+5-2.049930+0 1.173610+5-2.150030+0 1.236880+5-2.651470+0980027506 3665 1.269460+5-3.037040+0 1.304990+5-3.698400+0 1.317910+5-4.089940+0980027506 3666 1.327370+5-4.514470+0 1.332720+5-4.848380+0 1.336720+5-5.150920+0980027506 3667 1.339400+5-5.374530+0 1.340960+5-5.508580+0 1.342810+5-5.668950+0980027506 3668 1.345190+5-5.865060+0 1.347790+5-6.058390+0 1.350720+5-6.228940+0980027506 3669 1.356140+5-6.342260+0 1.361570+5-6.184550+0 1.367660+5-5.759230+0980027506 3670 1.371570+5-5.388910+0 1.379070+5-4.760330+0 1.386230+5-4.258270+0980027506 3671 1.395610+5-3.792250+0 1.413200+5-3.216760+0 1.443990+5-2.557210+0980027506 3672 1.467080+5-2.202180+0 1.501710+5-1.793650+0 1.536350+5-1.501490+0980027506 3673 1.599230+5-1.106440+0 1.656160+5-8.322100-1 1.726020+5-6.044740-1980027506 3674 1.822530+5-3.566230-1 1.868980+5-2.533920-1 1.917890+5-1.812550-1980027506 3675 2.035700+5-3.717950-2 2.051330+5-2.625800-2 2.088550+5 1.258650-3980027506 3676 2.112330+5 1.896650-2 2.184160+5 7.340080-2 2.211460+5 8.528600-2980027506 3677 2.372220+5 1.603740-1 2.448030+5 1.736350-1 2.519500+5 1.965900-1980027506 3678 2.576010+5 2.088960-1 2.624580+5 2.079610-1 2.754300+5 2.258690-1980027506 3679 2.768730+5 2.267850-1 2.809850+5 2.226840-1 2.963100+5 2.277980-1980027506 3680 2.990780+5 2.249720-1 3.013300+5 2.185200-1 3.064650+5 2.149910-1980027506 3681 3.252750+5 2.206840-1 3.303760+5 2.171370-1 3.334240+5 2.101820-1980027506 3682 3.402860+5 2.068260-1 3.617030+5 2.088880-1 3.667130+5 2.049050-1980027506 3683 3.699360+5 2.013200-1 3.941420+5 1.847790-1 4.000000+5 1.788950-1980027506 3684 4.244980+5 1.700470-1 4.301430+5 1.656660-1 4.418020+5 1.527830-1980027506 3685 4.508380+5 1.442380-1 4.967630+5 1.194350-1 5.019060+5 1.145400-1980027506 3686 5.115260+5 1.103160-1 5.450040+5 1.023100-1 5.524000+5 9.808950-2980027506 3687 5.640390+5 9.250690-2 6.022760+5 7.731180-2 6.447420+5 6.425270-2980027506 3688 6.561370+5 6.114090-2 6.623670+5 5.797920-2 6.781840+5 5.127650-2980027506 3689 6.804750+5 4.976270-2 7.241640+5 3.892360-2 7.682820+5 3.180700-2980027506 3690 8.052980+5 2.261890-2 8.301070+5 1.929820-2 8.820400+5 1.297150-2980027506 3691 8.944270+5 1.157420-2 9.032660+5 1.068710-2 9.590240+5 4.362480-3980027506 3692 9.821200+5 1.867580-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0980027506 3693 980027 0 3694 9800 0 0 3695 0 0 0 3696 9.900000+4 2.518180+2 -1 0 2 29900 1451 1 0.000000+0 0.000000+0 0 0 0 69900 1451 2 0.000000+0 0.000000+0 0 0 3 29900 1451 3 0.000000+0 0.000000+0 0 0 151 399900 1451 4 99-ES LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9900 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9900 1451 6 ----JEF-2 MATERIAL 9900 REVISION 0 9900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9900 1451 8 ------ENDF-6 FORMAT 9900 1451 9 ******************************************************************9900 1451 10 * JEF-2 *9900 1451 11 * DATA TAKEN FROM EPDL *9900 1451 12 ******************************************************************9900 1451 13 =================================================================9900 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9900 1451 15 ENDF/B-VI FORMAT 9900 1451 16 =================================================================9900 1451 17 CONTENTS 9900 1451 18 =================================================================9900 1451 19 MF/MT DESCRIPTION 9900 1451 20 =================================================================9900 1451 21 23/501 TOTAL CROSS SECTION 9900 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9900 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9900 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9900 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9900 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9900 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9900 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 55 =================================================================9900 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 9900 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 9900 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9900 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 9900 1451 60 =================================================================9900 1451 61 WARNING 9900 1451 62 =================================================================9900 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9900 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9900 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9900 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9900 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9900 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9900 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9900 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9900 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9900 1451 72 =================================================================9900 1451 73 DEFINITION OF NEW TYPES OF DATA 9900 1451 74 =================================================================9900 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9900 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9900 1451 77 9900 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9900 1451 79 C2 FIELDS ARE, 9900 1451 80 9900 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9900 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9900 1451 83 9900 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9900 1451 85 9900 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9900 1451 87 9900 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9900 1451 89 T = THE THOMSON CROSS SECTION 9900 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 9900 1451 91 FF(M) = THE ATOMIC FORM FACTOR 9900 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9900 1451 93 F1(E) = THE REAL SCATTERING FACTOR 9900 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 9900 1451 95 9900 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 9900 1451 97 9900 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9900 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9900 1451 100 =================================================================9900 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9900 1451 102 =================================================================9900 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9900 1451 104 HERE - 10 EV TO 100 MEV 9900 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9900 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 9900 1451 107 HERE - PHOTON INTERACTION 9900 1451 108 - AVERAGE FLUORESCENCE YIELD 9900 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9900 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9900 1451 111 HERE - NO SECONDARY ENERGY DATA 9900 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9900 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 9900 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 9900 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 9900 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9900 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE9900 1451 118 (SINCE THEY CAN BE NEGATIVE). 9900 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9900 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 9900 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 9900 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 9900 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 9900 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9900 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE9900 1451 126 =================================================================9900 1451 127 REFERENCES 9900 1451 128 =================================================================9900 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9900 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9900 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9900 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9900 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9900 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9900 1451 135 9900 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9900 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9900 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9900 1451 139 OF THE DATA, ETC. 9900 1451 140 =================================================================9900 1451 141 HISTORY 9900 1451 142 =================================================================9900 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9900 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9900 1451 145 CROSS SECTIONS. 9900 1451 146 =================================================================9900 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9900 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9900 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9900 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9900 1451 151 *RECONSTRUCTED MT NUMBERS 9900 1451 152 516 =+(515,515)+(517,517) 9900 1451 153 522 =+(534,572) 9900 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9900 1451 155 1 451 194 19900 1451 156 23 501 715 19900 1451 157 23 502 153 19900 1451 158 23 504 30 19900 1451 159 23 515 30 19900 1451 160 23 516 59 19900 1451 161 23 517 42 19900 1451 162 23 522 530 29900 1451 163 23 534 27 29900 1451 164 23 535 34 29900 1451 165 23 536 37 29900 1451 166 23 537 40 29900 1451 167 23 538 39 29900 1451 168 23 539 41 29900 1451 169 23 540 44 29900 1451 170 23 541 51 29900 1451 171 23 542 53 29900 1451 172 23 543 43 29900 1451 173 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7.130790-4990023537 1902 8.944271+7 6.356630-4 1.000000+8 5.666520-4 0.000000+0 0.000000+0990023537 1903 990023 0 1904 9.900000+4 2.518180+2 0 0 0 0990023538 1905 6.953100+3 0.000000+0 0 0 1 106990023538 1906 106 2 0 0 0 0990023538 1907 6.953100+3 0.000000+0 6.953100+3 8.890151+3 7.614370+3 7.829820+3990023538 1908 8.726031+3 6.471670+3 1.000000+4 5.349100+3 1.106680+4 4.563870+3990023538 1909 1.194100+4 4.051570+3 1.338340+4 3.388890+3 1.500000+4 2.834600+3990023538 1910 1.622820+4 2.467530+3 1.826170+4 2.004100+3 2.055000+4 1.627700+3990023538 1911 2.258860+4 1.360230+3 2.424920+4 1.188890+3 2.697180+4 9.714810+2990023538 1912 3.000000+4 7.938300+2 3.197810+4 6.965560+2 3.575870+4 5.541230+2990023538 1913 3.888470+4 4.667610+2 4.140730+4 4.104030+2 4.550120+4 3.383640+2990023538 1914 5.000000+4 2.789700+2 5.302550+4 2.453220+2 5.876740+4 1.959070+2990023538 1915 6.347820+4 1.654950+2 6.725750+4 1.458270+2 7.335260+4 1.206190+2990023538 1916 8.000000+4 9.976800+1 8.653970+4 8.322310+1 9.269890+4 7.101330+1990023538 1917 9.844679+4 6.180860+1 1.037680+5 5.473870+1 1.137810+5 4.425610+1990023538 1918 1.219200+5 3.773400+1 1.284040+5 3.348130+1 1.387830+5 2.798380+1990023538 1919 1.500000+5 2.338900+1 1.635760+5 1.906900+1 1.764600+5 1.594880+1990023538 1920 1.885620+5 1.364050+1 1.998310+5 1.189650+1 2.102420+5 1.055440+1990023538 1921 2.297840+5 8.559690+0 2.456240+5 7.315220+0 2.714540+5 5.779390+0990023538 1922 3.000000+5 4.566000+0 3.197810+5 3.949010+0 3.381560+5 3.477930+0990023538 1923 3.728900+5 2.784710+0 4.012620+5 2.357070+0 4.239490+5 2.080020+0990023538 1924 4.604070+5 1.724290+0 5.000000+5 1.429400+0 5.302550+5 1.261270+0990023538 1925 5.876740+5 1.013230+0 6.347820+5 8.597650-1 6.725750+5 7.601250-1990023538 1926 7.335260+5 6.318910-1 8.000000+5 5.252900-1 8.944270+5 4.194970-1990023538 1927 1.000000+6 3.350100-1 1.022000+6 3.210140-1 1.130270+6 2.639400-1990023538 1928 1.250000+6 2.170140-1 1.369310+6 1.830400-1 1.500000+6 1.543850-1990023538 1929 1.611850+6 1.360780-1 1.795470+6 1.126070-1 2.000000+6 9.318350-2990023538 1930 2.044000+6 8.982780-2 2.249780+6 7.697700-2 2.417610+6 6.856040-2990023538 1931 2.693110+6 5.762920-2 3.000000+6 4.844080-2 3.464100+6 3.909250-2990023538 1932 4.000000+6 3.154820-2 4.472140+6 2.695670-2 5.000000+6 2.303340-2990023538 1933 5.477230+6 2.035390-2 6.000000+6 1.798610-2 7.000000+6 1.469200-2990023538 1934 8.000000+6 1.238190-2 9.000000+6 1.068350-2 1.000000+7 9.382270-3990023538 1935 1.100000+7 8.357300-3 1.200000+7 7.530930-3 1.300000+7 6.848370-3990023538 1936 1.400000+7 6.277670-3 1.500000+7 5.793720-3 1.600000+7 5.378250-3990023538 1937 1.800000+7 4.702550-3 2.000000+7 4.175220-3 2.200000+7 3.752910-3990023538 1938 2.400000+7 3.408210-3 2.600000+7 3.120570-3 2.800000+7 2.878600-3990023538 1939 3.000000+7 2.670860-3 3.464100+7 2.288120-3 4.000000+7 1.960230-3990023538 1940 4.472140+7 1.741810-3 5.000000+7 1.547730-3 6.000000+7 1.278590-3990023538 1941 6.928200+7 1.101110-3 8.000000+7 9.482710-4 8.944271+7 8.453220-4990023538 1942 1.000000+8 7.535490-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0990023538 1943 990023 0 1944 9.900000+4 2.518180+2 0 0 0 0990023539 1945 6.564600+3 0.000000+0 0 0 1 113990023539 1946 113 2 0 0 0 0990023539 1947 6.564600+3 0.000000+0 6.564600+3 1.396070+4 8.000000+3 1.144800+4990023539 1948 8.944270+3 9.757310+3 1.000000+4 8.316300+3 1.078990+4 7.340760+3990023539 1949 1.209320+4 6.087750+3 1.355400+4 5.048620+3 1.500000+4 4.214100+3990023539 1950 1.622820+4 3.611340+3 1.721500+4 3.216560+3 1.880870+4 2.703810+3990023539 1951 2.055000+4 2.272800+3 2.258860+4 1.852630+3 2.424920+4 1.589320+3990023539 1952 2.697180+4 1.262820+3 3.000000+4 1.003400+3 3.223710+4 8.491850+2990023539 1953 3.402370+4 7.492880+2 3.689100+4 6.210380+2 4.000000+4 5.147400+2990023539 1954 4.207960+4 4.545400+2 4.598240+4 3.656320+2 4.914520+4 3.105620+2990023539 1955 5.165930+4 2.747750+2 5.567370+4 2.286750+2 6.000000+4 1.903100+2990023539 1956 6.395620+4 1.613760+2 6.763120+4 1.396910+2 7.101970+4 1.231210+2990023539 1957 7.736310+4 9.871180+1 8.248979+4 8.363660+1 8.655660+4 7.386130+1990023539 1958 9.303579+4 6.129820+1 1.000000+5 5.087200+1 1.090510+5 4.039270+1990023539 1959 1.176400+5 3.301030+1 1.257080+5 2.766640+1 1.332210+5 2.370510+1990023539 1960 1.401620+5 2.070720+1 1.531900+5 1.634400+1 1.637490+5 1.368630+1990023539 1961 1.721440+5 1.198070+1 1.855500+5 9.812460+0 2.000000+5 8.036600+0990023539 1962 2.103980+5 7.030860+0 2.299120+5 5.564130+0 2.457260+5 4.668620+0990023539 1963 2.582970+5 4.092910+0 2.783680+5 3.359680+0 3.000000+5 2.757800+0990023539 1964 3.223710+5 2.293680+0 3.402370+5 1.997610+0 3.689100+5 1.623590+0990023539 1965 4.000000+5 1.319600+0 4.207960+5 1.166260+0 4.598240+5 9.395360-1990023539 1966 4.914520+5 7.989170-1 5.165930+5 7.074460-1 5.567370+5 5.894950-1990023539 1967 6.000000+5 4.912100-1 6.447420+5 4.172540-1 6.804750+5 3.691900-1990023539 1968 7.378210+5 3.072730-1 8.000000+5 2.557400-1 8.458970+5 2.270900-1990023539 1969 9.197270+5 1.900190-1 1.000000+6 1.590000-1 1.022000+6 1.521970-1990023539 1970 1.130270+6 1.249820-1 1.250000+6 1.026340-1 1.369310+6 8.671970-2990023539 1971 1.500000+6 7.327310-2 1.611850+6 6.458450-2 1.795470+6 5.344450-2990023539 1972 2.000000+6 4.422610-2 2.044000+6 4.263340-2 2.249780+6 3.653420-2990023539 1973 2.417610+6 3.253960-2 2.693110+6 2.735150-2 3.000000+6 2.299060-2990023539 1974 3.464100+6 1.855380-2 4.000000+6 1.497320-2 4.472140+6 1.279400-2990023539 1975 5.000000+6 1.093190-2 5.477230+6 9.660200-3 6.000000+6 8.536430-3990023539 1976 7.000000+6 6.973030-3 8.000000+6 5.876590-3 9.000000+6 5.070510-3990023539 1977 1.000000+7 4.452940-3 1.100000+7 3.966480-3 1.200000+7 3.574270-3990023539 1978 1.300000+7 3.250320-3 1.400000+7 2.979460-3 1.500000+7 2.749770-3990023539 1979 1.600000+7 2.552590-3 1.800000+7 2.231890-3 2.000000+7 1.981610-3990023539 1980 2.200000+7 1.781180-3 2.400000+7 1.617580-3 2.600000+7 1.481060-3990023539 1981 2.800000+7 1.366220-3 3.000000+7 1.267630-3 3.464100+7 1.085970-3990023539 1982 4.000000+7 9.303510-4 4.472140+7 8.266870-4 5.000000+7 7.345730-4990023539 1983 6.000000+7 6.068360-4 6.928200+7 5.226030-4 8.000000+7 4.500620-4990023539 1984 8.944271+7 4.012010-4 1.000000+8 3.576440-4 0.000000+0 0.000000+0990023539 1985 990023 0 1986 9.900000+4 2.518180+2 0 0 0 0990023540 1987 5.247200+3 0.000000+0 0 0 1 123990023540 1988 123 2 0 0 0 0990023540 1989 5.247200+3 0.000000+0 5.247200+3 5.895430+4 5.890650+3 4.853130+4990023540 1990 6.613000+3 3.995100+4 7.333290+3 3.251790+4 7.924540+3 2.786560+4990023540 1991 8.399060+3 2.481860+4 9.164640+3 2.086130+4 1.000000+4 1.753500+4990023540 1992 1.106680+4 1.403000+4 1.194100+4 1.186930+4 1.264160+4 1.047000+4990023540 1993 1.377040+4 8.674250+3 1.500000+4 7.186500+3 1.622820+4 5.952650+3990023540 1994 1.721500+4 5.168390+3 1.880870+4 4.181400+3 2.055000+4 3.382900+3990023540 1995 2.154520+4 2.998100+3 2.340420+4 2.427010+3 2.490290+4 2.071290+3990023540 1996 2.733290+4 1.633030+3 3.000000+4 1.287500+3 3.223710+4 1.060910+3990023540 1997 3.402370+4 9.175510+2 3.689100+4 7.379970+2 4.000000+4 5.935800+2990023540 1998 4.207960+4 5.146880+2 4.398770+4 4.543090+2 4.753750+4 3.651850+2990023540 1999 5.038660+4 3.100160+2 5.263490+4 2.741810+2 5.619690+4 2.280440+2990023540 2000 6.000000+4 1.896700+2 6.395620+4 1.572260+2 6.763120+4 1.334240+2990023540 2001 7.101970+4 1.155720+2 7.412360+4 1.019230+2 7.988540+4 8.179980+1990023540 2002 8.449879+4 6.936070+1 8.813290+4 6.128920+1 9.387910+4 5.090850+1990023540 2003 1.000000+5 4.228600+1 1.044270+5 3.711770+1 1.132640+5 2.906880+1990023540 2004 1.216070+5 2.347160+1 1.294100+5 1.946560+1 1.366470+5 1.652550+1990023540 2005 1.433110+5 1.431950+1 1.494080+5 1.263220+1 1.607080+5 1.014370+1990023540 2006 1.697400+5 8.604700+0 1.768470+5 7.605700+0 1.880670+5 6.320400+0990023540 2007 2.000000+5 5.252300+0 2.103980+5 4.520890+0 2.199390+5 3.964960+0990023540 2008 2.376880+5 3.151480+0 2.519330+5 2.652910+0 2.631750+5 2.331460+0990023540 2009 2.809850+5 1.920820+0 3.000000+5 1.582500+0 3.223710+5 1.288990+0990023540 2010 3.402370+5 1.105170+0 3.689100+5 8.773970-1 4.000000+5 6.965700-1990023540 2011 4.229490+5 5.978720-1 4.598630+5 4.754150-1 5.000000+5 3.780400-1990023540 2012 5.477230+5 2.974310-1 6.000000+5 2.340100-1 6.447420+5 1.957080-1990023540 2013 6.804750+5 1.711550-1 7.378210+5 1.399780-1 8.000000+5 1.144800-1990023540 2014 8.458970+5 1.005520-1 9.197270+5 8.277130-2 1.000000+6 6.813500-2990023540 2015 1.022000+6 6.505880-2 1.130270+6 5.330160-2 1.250000+6 4.366920-2990023540 2016 1.369310+6 3.702940-2 1.500000+6 3.139920-2 1.611850+6 2.767590-2990023540 2017 1.795470+6 2.290210-2 2.000000+6 1.895180-2 2.044000+6 1.826940-2990023540 2018 2.249780+6 1.565580-2 2.417610+6 1.394400-2 2.693110+6 1.172070-2990023540 2019 3.000000+6 9.851990-3 3.464100+6 7.950700-3 4.000000+6 6.416330-3990023540 2020 4.472140+6 5.482490-3 5.000000+6 4.684570-3 5.477230+6 4.139610-3990023540 2021 6.000000+6 3.658050-3 7.000000+6 2.988100-3 8.000000+6 2.518250-3990023540 2022 9.000000+6 2.172820-3 1.000000+7 1.908180-3 1.100000+7 1.699720-3990023540 2023 1.200000+7 1.531650-3 1.300000+7 1.392840-3 1.400000+7 1.276770-3990023540 2024 1.500000+7 1.178340-3 1.600000+7 1.093840-3 1.800000+7 9.564140-4990023540 2025 2.000000+7 8.491650-4 2.200000+7 7.632740-4 2.400000+7 6.931680-4990023540 2026 2.600000+7 6.346690-4 2.800000+7 5.854550-4 3.000000+7 5.432060-4990023540 2027 3.464100+7 4.653640-4 4.000000+7 3.986760-4 4.472140+7 3.542540-4990023540 2028 5.000000+7 3.147810-4 6.000000+7 2.600420-4 6.928200+7 2.239460-4990023540 2029 8.000000+7 1.928610-4 8.944271+7 1.719230-4 1.000000+8 1.532580-4990023540 2030 990023 0 2031 9.900000+4 2.518180+2 0 0 0 0990023541 2032 4.625500+3 0.000000+0 0 0 1 144990023541 2033 144 2 0 0 0 0990023541 2034 4.625500+3 0.000000+0 4.625500+3 1.310920+5 4.902830+3 1.213450+5990023541 2035 5.156710+3 1.063770+5 5.562400+3 8.731529+4 6.000000+3 7.166900+4990023541 2036 6.447420+3 5.815880+4 6.804750+3 4.972540+4 7.378210+3 3.931180+4990023541 2037 8.000000+3 3.107900+4 8.458970+3 2.630100+4 8.820401+3 2.320610+4990023541 2038 9.391701+3 1.923290+4 1.000000+4 1.594000+4 1.051990+4 1.358810+4990023541 2039 1.099690+4 1.181670+4 1.188440+4 9.254201+3 1.259670+4 7.704060+3990023541 2040 1.315870+4 6.714370+3 1.404920+4 5.463030+3 1.500000+4 4.444900+3990023541 2041 1.560200+4 3.903090+3 1.671430+4 3.108950+3 1.760030+4 2.621310+3990023541 2042 1.829540+4 2.306460+3 1.939000+4 1.903660+3 2.055000+4 1.571200+3990023541 2043 2.154520+4 1.336090+3 2.245550+4 1.159420+3 2.414190+4 9.045770+2990023541 2044 2.548940+4 7.509310+2 2.654910+4 6.530800+2 2.822180+4 5.296820+2990023541 2045 3.000000+4 4.296000+2 3.197810+4 3.424050+2 3.381560+4 2.807570+2990023541 2046 3.550980+4 2.359920+2 3.706180+4 2.027190+2 3.847530+4 1.774770+2990023541 2047 4.107990+4 1.406280+2 4.314830+4 1.181060+2 4.476780+4 1.036150+2990023541 2048 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2.333110+4-1.045500+1 2.373300+4-1.024520+1990027506 3568 2.447550+4-1.030440+1 2.504600+4-1.067190+1 2.535250+4-1.122830+1990027506 3569 2.557590+4-1.201400+1 2.571280+4-1.270500+1 2.585580+4-1.343030+1990027506 3570 2.600270+4-1.380250+1 2.613290+4-1.363570+1 2.627670+4-1.313990+1990027506 3571 2.645650+4-1.264460+1 2.671360+4-1.234390+1 2.693600+4-1.171340+1990027506 3572 2.714090+4-1.064890+1 2.732050+4-9.754650+0 2.744150+4-9.253110+0990027506 3573 2.779360+4-8.176700+0 2.843820+4-6.789030+0 2.909730+4-5.772190+0990027506 3574 2.944790+4-5.307570+0 3.033770+4-4.417890+0 3.133780+4-3.614240+0990027506 3575 3.198750+4-3.184160+0 3.311840+4-2.672940+0 3.393040+4-2.295570+0990027506 3576 3.465240+4-2.034360+0 3.627100+4-1.582210+0 3.706180+4-1.379930+0990027506 3577 3.788420+4-1.204880+0 3.914050+4-1.005320+0 4.012620+4-8.396600-1990027506 3578 4.061680+4-7.643680-1 4.186160+4-6.140760-1 4.302310+4-5.010720-1990027506 3579 4.402570+4-4.012180-1 4.504640+4-3.293920-1 4.536760+4-3.090300-1990027506 3580 4.597530+4-2.840000-1 4.615420+4-2.780350-1 4.649060+4-2.728630-1990027506 3581 4.754670+4-2.378620-1 4.868690+4-2.049790-1 4.946930+4-1.837790-1990027506 3582 5.038660+4-1.712130-1 5.129110+4-1.494140-1 5.209110+4-1.365200-1990027506 3583 5.312860+4-1.354970-1 5.359770+4-1.386830-1 5.448220+4-1.516800-1990027506 3584 5.485150+4-1.557430-1 5.567370+4-1.542800-1 5.724900+4-1.459530-1990027506 3585 5.830550+4-1.401090-1 5.866680+4-1.398320-1 5.878750+4-1.409930-1990027506 3586 6.246270+4-2.028010-1 6.439660+4-2.326460-1 6.633000+4-2.765020-1990027506 3587 6.797430+4-3.202730-1 7.306810+4-4.249970-1 7.457790+4-4.675910-1990027506 3588 7.863900+4-5.793060-1 8.248979+4-6.982100-1 8.839360+4-8.666440-1990027506 3589 9.764160+4-1.150020+0 1.031560+5-1.339540+0 1.101010+5-1.612330+0990027506 3590 1.201770+5-2.127250+0 1.268610+5-2.644790+0 1.302030+5-3.027330+0990027506 3591 1.338470+5-3.684540+0 1.351720+5-4.074210+0 1.360470+5-4.446120+0990027506 3592 1.366470+5-4.797020+0 1.370790+5-5.108860+0 1.373770+5-5.348430+0990027506 3593 1.375500+5-5.492980+0 1.377270+5-5.640340+0 1.379700+5-5.834730+0990027506 3594 1.382370+5-6.026150+0 1.385370+5-6.193910+0 1.391430+5-6.305080+0990027506 3595 1.397490+5-6.107860+0 1.403110+5-5.696680+0 1.408490+5-5.222140+0990027506 3596 1.415800+5-4.639350+0 1.421780+5-4.237510+0 1.433950+5-3.679090+0990027506 3597 1.455440+5-3.059330+0 1.487180+5-2.458040+0 1.521390+5-2.027010+0990027506 3598 1.578660+5-1.508680+0 1.611850+5-1.281870+0 1.644940+5-1.108020+0990027506 3599 1.715010+5-7.926580-1 1.753420+5-6.500100-1 1.880670+5-3.382960-1990027506 3600 1.919600+5-2.580450-1 2.041180+5-1.073530-1 2.106710+5-2.224340-2990027506 3601 2.142450+5 9.417360-4 2.151150+5 6.582180-3 2.225940+5 5.692170-2990027506 3602 2.261470+5 7.950830-2 2.349690+5 1.136090-1 2.436830+5 1.488420-1990027506 3603 2.457090+5 1.546950-1 2.526550+5 1.617720-1 2.617010+5 1.815670-1990027506 3604 2.674630+5 1.807590-1 2.820690+5 2.009120-1 2.833840+5 2.018230-1990027506 3605 2.890370+5 1.977310-1 3.059620+5 2.103560-1 3.093700+5 2.099530-1990027506 3606 3.129960+5 2.042090-1 3.167630+5 2.037070-1 3.349930+5 2.097590-1990027506 3607 3.394330+5 2.065780-1 3.402370+5 2.048300-1 3.769090+5 1.856780-1990027506 3608 3.880460+5 1.800730-1 3.981180+5 1.766380-1 4.031080+5 1.710130-1990027506 3609 4.039290+5 1.687110-1 4.426730+5 1.450890-1 4.946100+5 1.233680-1990027506 3610 5.277580+5 1.073140-1 5.320840+5 1.039020-1 5.415170+5 1.000530-1990027506 3611 5.655200+5 9.285690-2 5.725420+5 8.942210-2 5.748830+5 8.734320-2990027506 3612 6.091140+5 7.291230-2 6.219690+5 6.803540-2 6.237970+5 6.654570-2990027506 3613 6.273390+5 6.467190-2 6.378950+5 6.108460-2 6.571520+5 5.668390-2990027506 3614 6.717570+5 5.334640-2 6.781840+5 5.081790-2 6.804750+5 4.937410-2990027506 3615 7.284230+5 3.931280-2 7.786380+5 2.995340-2 8.034420+5 2.507670-2990027506 3616 8.365760+5 1.928930-2 8.944270+5 1.063060-2 9.111020+5 8.787760-3990027506 3617 9.724930+5 2.655780-3 9.821180+5 1.707790-3 1.000000+6 0.000000+0990027506 3618 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0990027506 3619 990027 0 3620 9900 0 0 3621 0 0 0 3622 1.000000+5 2.547920+2 -1 0 2 29920 1451 1 0.000000+0 0.000000+0 0 0 0 69920 1451 2 0.000000+0 0.000000+0 0 0 3 29920 1451 3 0.000000+0 0.000000+0 0 0 151 399920 1451 4 100-FM LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9920 1451 5 UCRL50400,VOL.6,REV.4 DIST-AUG90 REV0-AUG90 9920 1451 6 ----JEF-2 MATERIAL 9920 REVISION 0 9920 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9920 1451 8 ------ENDF-6 FORMAT 9920 1451 9 ******************************************************************9920 1451 10 * JEF-2 *9920 1451 11 * DATA TAKEN FROM EPDL *9920 1451 12 ******************************************************************9920 1451 13 =================================================================9920 1451 14 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9920 1451 15 ENDF/B-VI FORMAT 9920 1451 16 =================================================================9920 1451 17 CONTENTS 9920 1451 18 =================================================================9920 1451 19 MF/MT DESCRIPTION 9920 1451 20 =================================================================9920 1451 21 23/501 TOTAL CROSS SECTION 9920 1451 22 23/502 COHERENT SCATTERING CROSS SECTIONS 9920 1451 23 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9920 1451 24 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9920 1451 25 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9920 1451 26 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9920 1451 27 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9920 1451 28 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 29 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 30 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 31 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 32 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 33 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 34 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 35 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 36 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 37 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 38 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 39 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 40 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 41 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 42 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 43 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 44 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 45 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 46 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 47 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 48 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 49 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 50 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 51 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 52 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 53 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 54 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 55 =================================================================9920 1451 56 27/502 COHERENT SCATTERING FORM FACTORS 9920 1451 57 27/504 INCOHERENT SCATTERING FUNCTIONS 9920 1451 58 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9920 1451 59 27/506 COHERENT REAL SCATTERING FACTOR 9920 1451 60 =================================================================9920 1451 61 WARNING 9920 1451 62 =================================================================9920 1451 63 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9920 1451 64 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9920 1451 65 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9920 1451 66 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9920 1451 67 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9920 1451 68 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9920 1451 69 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9920 1451 70 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9920 1451 71 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9920 1451 72 =================================================================9920 1451 73 DEFINITION OF NEW TYPES OF DATA 9920 1451 74 =================================================================9920 1451 75 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9920 1451 76 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9920 1451 77 9920 1451 78 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9920 1451 79 C2 FIELDS ARE, 9920 1451 80 9920 1451 81 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9920 1451 82 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9920 1451 83 9920 1451 84 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9920 1451 85 9920 1451 86 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9920 1451 87 9920 1451 88 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9920 1451 89 T = THE THOMSON CROSS SECTION 9920 1451 90 MU = THE COSINE OF THE SCATTERING ANGLE 9920 1451 91 FF(M) = THE ATOMIC FORM FACTOR 9920 1451 92 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9920 1451 93 F1(E) = THE REAL SCATTERING FACTOR 9920 1451 94 F2(E) = THE IMAGINARY SCATTERING FACTOR 9920 1451 95 9920 1451 96 F1(E) AND F2(E) ARE ISOTROPIC. 9920 1451 97 9920 1451 98 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9920 1451 99 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9920 1451 100 =================================================================9920 1451 101 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9920 1451 102 =================================================================9920 1451 103 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9920 1451 104 HERE - 10 EV TO 100 MEV 9920 1451 105 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9920 1451 106 - FLUORESCENCE AND ELECTRON SPECTRA 9920 1451 107 HERE - PHOTON INTERACTION 9920 1451 108 - AVERAGE FLUORESCENCE YIELD 9920 1451 109 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9920 1451 110 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9920 1451 111 HERE - NO SECONDARY ENERGY DATA 9920 1451 112 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9920 1451 113 INTERPOLABLE - SUMMATION CROSS SECTIONS 9920 1451 114 (E.G., TOTAL) ARE NOT INCLUDED 9920 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 9920 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9920 1451 117 - SCATTERING FACTORS LINEARLY INTERPOLABLE9920 1451 118 (SINCE THEY CAN BE NEGATIVE). 9920 1451 119 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9920 1451 120 ORDER TO ALLOW CROSS SECTIONS DEFINED 9920 1451 121 BY SUMMATION (E.G., TOTAL) TO BE 9920 1451 122 CONSISTENTLY DEFINED AT ALL ENERGIES. 9920 1451 123 - FORM FACTORS ARE LOG X VS. LOG Y 9920 1451 124 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9920 1451 125 - SCATTERING FACTORS LINEARLY INTERPOLABLE9920 1451 126 =================================================================9920 1451 127 REFERENCES 9920 1451 128 =================================================================9920 1451 129 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9920 1451 130 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9920 1451 131 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9920 1451 132 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9920 1451 133 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9920 1451 134 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9920 1451 135 9920 1451 136 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9920 1451 137 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9920 1451 138 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9920 1451 139 OF THE DATA, ETC. 9920 1451 140 =================================================================9920 1451 141 HISTORY 9920 1451 142 =================================================================9920 1451 143 MOD. 1 - OCTOBER, 1989 - INITIAL RELEASE. 9920 1451 144 MOD. 2 - AUGUST, 1990 - UPDATED PHOTOELECTRIC TOTAL + SUBSHELL 9920 1451 145 CROSS SECTIONS. 9920 1451 146 =================================================================9920 1451 147 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9920 1451 148 FOR ALL DATA GREATER THAN 1.00000-20 IN ABSOLUTE VALUE 9920 1451 149 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9920 1451 150 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9920 1451 151 *RECONSTRUCTED MT NUMBERS 9920 1451 152 516 =+(515,515)+(517,517) 9920 1451 153 522 =+(534,572) 9920 1451 154 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9920 1451 155 1 451 194 19920 1451 156 23 501 733 19920 1451 157 23 502 159 19920 1451 158 23 504 30 19920 1451 159 23 515 30 19920 1451 160 23 516 59 19920 1451 161 23 517 42 19920 1451 162 23 522 543 29920 1451 163 23 534 27 29920 1451 164 23 535 34 29920 1451 165 23 536 37 29920 1451 166 23 537 40 29920 1451 167 23 538 39 29920 1451 168 23 539 41 29920 1451 169 23 540 44 29920 1451 170 23 541 51 29920 1451 171 23 542 53 29920 1451 172 23 543 43 29920 1451 173 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9.269890+4 7.312150+1992023538 1954 9.844679+4 6.367630+1 1.037680+5 5.641820+1 1.137810+5 4.565020+1992023538 1955 1.219200+5 3.894570+1 1.284040+5 3.457180+1 1.387830+5 2.891450+1992023538 1956 1.500000+5 2.418300+1 1.635760+5 1.973140+1 1.764600+5 1.651390+1992023538 1957 1.885620+5 1.413210+1 1.998310+5 1.233150+1 2.102420+5 1.094530+1992023538 1958 2.297840+5 8.883680+0 2.456240+5 7.596580+0 2.714540+5 6.006980+0992023538 1959 3.000000+5 4.750000+0 3.197810+5 4.110390+0 3.381560+5 3.621790+0992023538 1960 3.728900+5 2.902310+0 4.012620+5 2.458150+0 4.239490+5 2.170240+0992023538 1961 4.604070+5 1.800350+0 5.000000+5 1.493500+0 5.302550+5 1.318320+0992023538 1962 5.876740+5 1.059730+0 6.347820+5 8.996530-1 6.725750+5 7.956750-1992023538 1963 7.335260+5 6.618000-1 8.000000+5 5.504500-1 8.944270+5 4.397550-1992023538 1964 1.000000+6 3.513200-1 1.022000+6 3.366530-1 1.130270+6 2.768300-1992023538 1965 1.250000+6 2.276370-1 1.369310+6 1.919990-1 1.500000+6 1.619410-1992023538 1966 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9.924470-4 8.944271+7 8.846510-4992023538 1979 1.000000+8 7.885640-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0992023538 1980 992023 0 1981 1.000000+5 2.547920+2 0 0 0 0992023539 1982 6.784000+3 0.000000+0 0 0 1 113992023539 1983 113 2 0 0 0 0992023539 1984 6.784000+3 0.000000+0 6.784000+3 1.328240+4 8.000000+3 1.137000+4992023539 1985 8.944270+3 9.909420+3 1.017840+4 8.042630+3 1.121460+4 6.877190+3992023539 1986 1.206040+4 6.115330+3 1.345010+4 5.127840+3 1.500000+4 4.299800+3992023539 1987 1.632410+4 3.648450+3 1.739340+4 3.225550+3 1.913000+4 2.681310+3992023539 1988 2.104000+4 2.228900+3 2.299140+4 1.843040+3 2.457280+4 1.598150+3992023539 1989 2.715110+4 1.290460+3 3.000000+4 1.042000+3 3.223710+4 8.831530+2992023539 1990 3.402370+4 7.801210+2 3.689100+4 6.476660+2 4.000000+4 5.377000+2992023539 1991 4.207960+4 4.752640+2 4.598240+4 3.829370+2 4.914520+4 3.256650+2992023539 1992 5.165930+4 2.884060+2 5.567370+4 2.403550+2 6.000000+4 2.003100+2992023539 1993 6.395620+4 1.700380+2 6.763120+4 1.473270+2 7.101970+4 1.299580+2992023539 1994 7.736310+4 1.043430+2 8.248979+4 8.850280+1 8.655660+4 7.822190+1992023539 1995 9.303579+4 6.499580+1 1.000000+5 5.400600+1 1.090510+5 4.293290+1992023539 1996 1.176400+5 3.512330+1 1.257080+5 2.946450+1 1.332210+5 2.526630+1992023539 1997 1.401620+5 2.208650+1 1.531900+5 1.745430+1 1.637490+5 1.462970+1992023539 1998 1.721440+5 1.281540+1 1.855500+5 1.050710+1 2.000000+5 8.614500+0992023539 1999 2.103980+5 7.540760+0 2.299120+5 5.973650+0 2.457260+5 5.016000+0992023539 2000 2.582970+5 4.399940+0 2.783680+5 3.614760+0 3.000000+5 2.969700+0992023539 2001 3.223710+5 2.471610+0 3.402370+5 2.153680+0 3.689100+5 1.751790+0992023539 2002 4.000000+5 1.424900+0 4.207960+5 1.259800+0 4.598240+5 1.015570+0992023539 2003 4.914520+5 8.640000-1 5.165930+5 7.653620-1 5.567370+5 6.381130-1992023539 2004 6.000000+5 5.320200-1 6.447420+5 4.521000-1 6.804750+5 4.001420-1992023539 2005 7.378210+5 3.331840-1 8.000000+5 2.774300-1 8.458970+5 2.464130-1992023539 2006 9.197270+5 2.062660-1 1.000000+6 1.726600-1 1.022000+6 1.652900-1992023539 2007 1.130270+6 1.357800-1 1.250000+6 1.115380-1 1.369310+6 9.421820-2992023539 2008 1.500000+6 7.958780-2 1.611850+6 7.014890-2 1.795470+6 5.804740-2992023539 2009 2.000000+6 4.803350-2 2.044000+6 4.630360-2 2.249780+6 3.967560-2992023539 2010 2.417610+6 3.533500-2 2.693110+6 2.969800-2 3.000000+6 2.496030-2992023539 2011 3.464100+6 2.014250-2 4.000000+6 1.625460-2 4.472140+6 1.388590-2992023539 2012 5.000000+6 1.186230-2 5.477230+6 1.048240-2 6.000000+6 9.262960-3992023539 2013 7.000000+6 7.564490-3 8.000000+6 6.374890-3 9.000000+6 5.498690-3992023539 2014 1.000000+7 4.829190-3 1.100000+7 4.301220-3 1.200000+7 3.875480-3992023539 2015 1.300000+7 3.525000-3 1.400000+7 3.230690-3 1.500000+7 2.982440-3992023539 2016 1.600000+7 2.767880-3 1.800000+7 2.419650-3 2.000000+7 2.147800-3992023539 2017 2.200000+7 1.931000-3 2.400000+7 1.753510-3 2.600000+7 1.605240-3992023539 2018 2.800000+7 1.480550-3 3.000000+7 1.373830-3 3.464100+7 1.176890-3992023539 2019 4.000000+7 1.008190-3 4.472140+7 8.958920-4 5.000000+7 7.961020-4992023539 2020 6.000000+7 6.575960-4 6.928200+7 5.663410-4 8.000000+7 4.877490-4992023539 2021 8.944271+7 4.347710-4 1.000000+8 3.875480-4 0.000000+0 0.000000+0992023539 2022 992023 0 2023 1.000000+5 2.547920+2 0 0 0 0992023540 2024 5.392600+3 0.000000+0 0 0 1 122992023540 2025 122 2 0 0 0 0992023540 2026 5.392600+3 0.000000+0 5.392600+3 5.734980+4 6.071110+3 4.691820+4992023540 2027 6.835000+3 3.838400+4 7.517161+3 3.176240+4 8.073100+3 2.755720+4992023540 2028 8.985040+3 2.226990+4 1.000000+4 1.799700+4 1.106680+4 1.441940+4992023540 2029 1.194100+4 1.221120+4 1.264160+4 1.077990+4 1.377040+4 8.941310+3992023540 2030 1.500000+4 7.416300+3 1.632410+4 6.059180+3 1.739340+4 5.206950+3992023540 2031 1.913000+4 4.147990+3 2.104000+4 3.304400+3 2.299140+4 2.635830+3992023540 2032 2.457280+4 2.224770+3 2.582980+4 1.959120+3 2.783690+4 1.618920+3992023540 2033 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