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NEA-1706 MMRW.
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NEA-1706 MMRW.

MMRW, Canadian and early British Energy Reports on Nuclear Reactor Theory (1940-1946)

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1. NAME:  MMRW: Canadian and early British Energy Reports on Nuclear Reactor Theory (1940-1946).
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Program name Package id Status Status date
MMRW NEA-1706/03 Arrived 24-JUL-2007

Machines used:

Package ID Orig. computer Test computer
NEA-1706/03 Many Computers
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Collection of reports (pdf format) on the beginning and development of nuclear reactor theory in Canada and in the United Kingdom.
In this version, the letter by Alvin Weinberg with comments and historical background (8 September 2000) has been added.
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Package ID Status date Status
NEA-1706/03 24-JUL-2007 Masterfiled Arrived
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MT-5       G. Placzek and W.P. Seidel
Milne's Problem in Transport Theory.
(Physical Review, 72 (1947) 550-555)
MT-6       G. Placzek
The Angular Distribution of neutrons Emerging from a Plane Surface.
(Physical Review, 72(1947)556-558)
MT-7       G. Placzek
Boundary Conditions in Elementary Diffusion Theory. (Not issued)
MT-13      G. Placzek and G.M. Volkoff
A Theorem on Neutron Multiplication
(Canadian Journal of Research, A25 (1947) 276-292)
MT-20      G. Placzek
Diffusion of Neutrons without Velocity Change. (Not Issued)
MT-50      J.C. Mark
The Neutron Density Near a Plane surface II.
(Phys Rev 72 (1947) 558-564)
MT-52      R.E. Marshak
Black Utilization. (Not Issued)
MT-55      R.E. Marshak
The Application of Variational Theory to the Determination of Asymptotic Neutron Densities.
(Phys Rev 71 (1947) 688-693)
MT-56      J.C. Mark,
Constants and Expansions of Wiener-Hopf Method. (Not Issued)
MT-65      G. Placzek
Report on Research in Theoretical Physics Feb. to July 15/44. (Not Issued)
MT-66      F.T. Adler and J.C. Mark
Milne's Problem with Capture. (Not Issued)
MT-89      B. Davison
A remark on the Variational Method.
(Physical Rev. 71(1947)694-697)
MT-97      J.C. Mark
The Spherical Harmonic Method, II. (Re-issued as CRT-338)
Also AECL-490 (1958)
MT-106      P.R. Wallace
Moments of the Angular Distribution in the Asymptotic Region
(Canadian Journal of Research A26(1948)99-114)
MT-119      J. LeCaine
Milne's problem with capture II.
(Canadian Journal of Research A28(1950)242)
MT-202      (Anon)
Efficiency ofControl Rods Absorbing Thermal Neutrons Only. (Not Issued)
MT-223      E.D. Courant and P.R. Wallace
Fluctuations of the number of Neutrons in a Pile.
(Physical Rev. 72(1947)1037-1048)
NEA-1706/03, included references:

- G. Placzek:
The Functions of En(x)=Integral(e-xuu-ndu){1,infinity} (MT-1)
- G. Placzek and G.M. Volkoff:
Notes on Diffusion of Neutrons without Change in Energy. (MT-4)
- P.R. Wallace and J. LeCaine:
Elementary Approximation in the Theory of Neutron Diffusion (Nucleonics
4(2),30-35, 4(3), 48-67, 1949) (MT-12)
- G.M. Volkoff:
Analysis of Experimental Data on the Slowing-Down and Thermal Diffusion
Lengths in Carbon (MT-14)
- P.R. Wallace :
Neutron Distribution in Adjoining Piles of Slightly Different Properties (MT-15)
- G. Placzek:
The Neutron Density Near a Plane Surface, I. (MT-16)
- R.E. Marshak:
On the Slowing Down Length of Neutrons in Water. (MT-17)
- R.E. Marshak:
On The Moments of the Distribution Function of Neutrons Slowed Down
in Heavy Elements.  (MT-18)
- R.E. Marshak:
On The Slowing Down Length of Neutrons in Mixtures. (MT-19)
G.M. Volkoff :
Critical Conditions for a Multiplying Spherical Core with
an Infinite Reflector of the Same Scattering Properties. (MT-21)
- J.C. Mark :
Milne's Problem for Anisotropic Scattering. (MT-26)
- J. LeCaine :
Critical Radius of a Strongly Multiplying Sphere
Surrounded by a Non-Multiplying Infinite Medium. (MT-29)
-  J. LeCaine and G.M. Volkoff :
Application of 'Synthetic' Kernels to the Study of Critical
Conditions in a Multiplying Sphere with an Infinite Reflector. (MT-30)
- P.R. Wallace :
Boundary Conditions at Thin Absorbing Shells and Plates. (MT-34)
- P.R. Wallace :
Neutron Distribution in a Multiplying Exponential Pile with a Plane Source.
- G.M. Volkoff :
Critical Radius of a Multiplying Spherical Core Surrounded
by a non-Multplying Reflector of Finite Thickness (MT-38)
- E.D. Courant :
Production and Consumption of Fissile Materials in One
Arrangement of a Producing Unit. (MT-40)
- R.E. Marshak and W.P. Seidel :
Milne's Problem for a Sphere. (MT-49)
- R.E. Marshak :
A Rigorous formula for the slowing down Length in an Element of Arbitrary
Mass. (MT-53)
- R.E. Marshak:
On the Slowing Down Length of Neutrons in Water: Supplement to MT-17.
- E.D. Courant :
Measurements in Finite System of the Total Number of Neutrons in an Infinite
System (MT-59)
- P.R. Wallace :
On the Thermal Utilization of Plates in the Presence of Linear Anisotropic
Scattering (MT-63)
- E.D. Courant :
Diffusion Equations and Critical Conditions in a Medium with Varying Mean
Free Path (MT-67)
- F.T. Adler :
Theory of the Diffuse Reflection of Neutrons by a Plane Surface
of a Semi-infinite Capturing Medium (MT-72)
- B. Davison :
Influence of a Small Black Sphere Upon the Neutron Density
In an Infinite Non- Capturing Medium. (MT-88)
- J. Stewart and G.M. Volkoff :
Estimates of Critical Volume of Polymer for Pilot Plant Under Various
Conditions (MT-91)
-  J.C. Mark :
The Spherical Harmonic Method, I. (MT-92)
- B. Davison :
Influence of a Large Black Sphere Upon the Neutron Density
in an Infinite Non-Capturing Medium.  (MT-93)
- P.R. Wallace: Effect of Scattering on the Capturing Properties of
Plates and Spheres. (MT-107)
- B. Davison :
Angular Distribution due to an Isotropic Point Source and
Spherically Symmetrical Eigensolutions of the Transport Equation.  (MT-112)
- B. Davison and G.Placzek :
Milne's Problem with Capture and Production. (MT-118)
- B. Davison :
Large Spherical Hole In a Slightly Capturing Medium.  (MT-124)
- J. LeCaine :
A Table of Integrals Involving the Functions En(x) (MT-131)
- B. Davison :
Influence of a Large Black Cylinder Upon the Neutron Density
in an Infinite Non-Capturing Medium.  (MT-135)
- B. Davison :
Neutron Density at the Centre of a Small Spherical Cavity.  (MT-136)
- E.A. Guggenheim:
Compressible flow of perfect gas with heat input distributed symmetrically
about middle of channel.  (MT-137)
- M.H.L. Pryce:
The Critical Size of a Multiplying system Surrounded
by a Reflector of Different Scattering Properties. (MT-150)
- M.H.L. Pryce:
The Evaluation of the Life Time of a Radioactive Substance
from a Small Number of Observations. (MT-151
- E.D. Courant :
Requirements for the Maintenance of Critical Conditions
with Changing Material Constants. (MT-164)
- E.A.Guggenheim, M.H.L.Pryce and G.M. Volkoff :
Thermal Utilization in Some Systems having Axial Symmetry. (MT-166)
- P.R. Wallace and B. Carlson :
Determination of 'f' for spheres. (MT-169)
-  E.D. Courant :
On Seeding Depleted Piles. (MT-173)
-  J.M.G. Fell and G.M.Volkoff :
Capture of Neutrons by Cylindrical Absorbing Rods Placed Around a Pile.
-  J.M.G. Fell :
A Note on the Temperature Distribution Inside Uranium Rods
with Variable Heat Source Density and Variable Conductivity. (MT-197)
- E.A.Guggenheim and M.H.L.Pryce :
Fast Fission in Tubes. (MT-199)
-  F.T. Adler : Reduction of the Two-Group Model to an Equivalent
One-Group Model. (MT-201)
-  B.Davison, W.P. Seidel and S.Kushneriuk :
Influence of a Small Black Cylinder Upon the Neutron Density
in an Infinite Non-Capturing Medium. (MT-207)
- M.Goldstein and E.A.Guggenheim :
Effect of Xenon Poisoning on Uranium-Graphite Piles. (MT-208)
- B.Davison and S.Kushneriuk :
Linear Extrapolation Length for a Black Sphere and a Black Cylinder (MT-214)
- E.A. Guggenheim :
Thermal Utilization in a System Con-taining Two Moderators. (MT-220)
- V.H. Rumsey and G.M.Volkoff:
Diffusion Theory Expressions for the Thermal Utilization Factor f
in Cells with Slab, Cylindrical and Spherical Geometry (MT-221)
- F.T. Adler :
Efficiency of Control Rods as a function of their Position
in a Cylindrical Pile in the One-Group Picture.  (MT-222)
- B. Davison :
Influence of an Air Gap Surrounding a Small Black Sphere upon
the Linear Extrapolation Length of the Neutron Density
in the Surrounding Medium. (MT-232)
- H.H. Clayton :
Critical Laplacian and Neutron Densities in the NRX Pile.  (MT-240)
-  H.H. Clayton :
Fate of Neutrons in NRX Pile and Production Rates of 49 and 23.  (MT-241)
- M.Goldstein, M.Wales, A.S.Lodge :
Fast Fission In Tubes: A Numerical Supplement to MT-199. (MT-242)
- A.S. Lodge :
The Temperature Distribution in an Infinite Medium due to a Spatially
Uniform Plane Source of Heat (MT-243)
- B. Davison :
Linear Extrapolation Length for the Neutron Density
at the Surface of a Large Hollow Cylindrical Shaft (MT-245)
- J.M.G. Fell :
Effect of the Presence of Fast Neutrons on the Utilization
of Neutrons by Absorbing Rods Around a Pile. (MT-249)
- R. Peierls:
On the Possibility of a Slow-Neutron Chain Reaction. (1940)  (MS-1)
- R. Peierls:
Speed of Reaction in a Chain Reactor with Slow Neutrons. (1940)  (MS-2)
- R. Peierls:
The Effect of Expansion of the Sphere. (1940)  (MS-8)
- M.H.L. Pryce:
Critical Conditions in Neutron Multiplication. (1943) (MS-P2a)
- K. Fuchs :
Effect of a Scattering Container on the Critical Radius and Time Constant.
(1943) (MS-85)
- A.H. Wilson :
A Comparison of the Approximate Methods of Calculating the Critical
Size of a Sphere.  (1944) (MS-89)
- B. Davison and K. Fuchs:
The Critical Radius and the Time Constant of a Sphere
Embedded in a Spherical Scattering Container.  (Nov.1943)  (MS-97)
- B. Davison:
Critical Radius for a Hemisphere with a One-Sided Infinite Container.
(Nov. 1944)  (MS-100)
- A.H. Wilson:
The Effect of Small Departures from the Spherical Shape upon the Critical
Size and Time Constant of a Sphere. (March 1944)  (MS-102)
- A.H. Wilson:
The General Properties of the Transport Equation and its Use in Determining
the Multiplication in Bodies Having Spherical Symmetry.
(Jan. 1944)  (MS-105)
- A.H. Wilson:
The Effect of Inelastic Scattering on the Multiplication in a Sphere.
(Jan. 1944)  (MS-106)
- H. Fairbrother:
The Critical Size and Time Constant of a Spheroid.  (June 1944)   (MS-111)
- P.D. Preston and B. Davison:
Critical Radius of a Hemisphere Completely Surrounded by a Container.
(July 1944)   (MS-112)
- A.H. Wilson:
A New Method of Determining the Time Constant of a Sphere in a Container.
(Aug. 1944)  (MS-115)
- P.A.M. Dirac:
Approximate Rate of Neutron Multiplication for a Solid of Arbitrary Shape
and Uniform Density, Parts I and II (1944)  (MS-D5)
- H. Castle, H. Ibser, G. Sacher and A.M. Weinberg:
The effect of fast fission on k (May 4th, 1943) (CP-644)
- Bengt Carlson :
The Serber-Wilson Method Formulae and Computation Methods.  (LA-756)
- R.E. Marshak: Some neutron diffusion problems. (September 11, 1946)
- R.F. Christy :
Theoretical Discussion of a Small Homogeneous Enriched Reactor.
(June 18, 1946) (MDDC-72)
- C.Mark:
Terms in an Expansion of the Wiener-Hopf Solution of Milne's Equation
for Small Values of the Argument (October 25, 1943) (TPI-5)
- George Volkoff :
TL-1 to TL-6 Volkoff Lectures on Reactor Physics, 1944
- A.H. Wilson:
The Effect of Anisotropic Scattering on the Multiplication in a Sphere.
(July 1944)  (MS-113)
- G. Placzek:
Energy Conversion Factors and Nuclear Constants (MT-51)
- T.H.R. Skyrme:
A Reduction in Neutron Density Caused by an Absorbing Disc.
(1944) (MS-91)
- Letter by Alvin Weinberg with comments and historical background (8 September
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Authors of the Montreal Theory reports:
Professor Felix T. Adler (1911-1979)
Bengt Carlson (1915-2007)
Henry H. Clayton (1906-1989)
Ernest David Courant (1920-)
Boris Davison (1908-1961)
J.M.G. Fell
Max Goldstein (1920-1992)
Edward Armand Guggenheim (1901-1970)
Steve Alexander Kushneriuk (1923-1984)
George C. Laurence (1905-1987)
Jeanne LeCaine (1917-2000)
A.S. Lodge
J. Carson Mark (1914-1997)
Robert E. Marshak (1916-1992)
George Placzek (1905-1955)
Maurice Henry LeCorney Pryce (1913-2003)
Victor H. Rumsey
Wladimir P. Seidel
John Donald Stewart (1908-1997)
George Michael Volkoff (1914-2000)
Muriel Wales
Philip Russell Wallace (1915-2006)
Authors of MS reports and others:

B. Carlson
H. Castle
R.F. Christy
B. Davison
P.A.M. Dirac
H. Fairbrother
K. Fuch
H. Ibser
C. Mark
R.E. Marshak
R. Peierls
G. Placzek
P.D. Preston
M.H.L. Pryce
G. Sacher
T.H.R Skyrme
A.M. Weinberg
A.H. Wilson
G. Volkoff
Reports collected by:
M.M.R. Williams
2A Lytchgate Close, South Croydon
Surrey, CR2 0DX, UK
Thanks are due to Atomic Energy of Canada Ltd for their assistance in tracking down many of these reports.
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Canadian and Early British Atomic Energy reports in Reactor Theory
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  • S. Legacy books-Proceedings
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Keywords: angular distribution, legacy, slowing-down, temperature distribution, thermal utilization.