Critical dimensions of systems containing /sup 235/U, /sup 239/Pu, and /sup 233/U: 1986 Revision Page: 17 of 205
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RELATIONS FOR CONVERSION TO STANDARD CONDITIONS
Many of the data correlations that appear iM this report required the conversion of ex-
perimental information to certain "standard" conditions. Two of the more significant
types, shape and density conversions, are considered immediately. Other types, such as
the correct ion for variations in 2"3L enrichment, fit more naturally into later sections.
Ratios of critical masses of cylinders (height h and diameter d) to those of spheres appear
vs h/d in Fig. 4 for enriched uranium sohitions* and in Fig. 5 for enriched uranium metal.
The values for solut ions and U(93) metal reflected by polyethylene and Plexiglas are derived
from metasturements at Oak Ridge.3- -,1 Those for U(91) metal, tiunreHected and reflected
by paratin or water, are from Los Alamos "- ' Early critical data for plutonium solutions
originated at Hanford" and for 233L solutions at Oak Ridge."W
For extrapolation of experimental critical dimensions to those of broad slabs and long
cylinders, the following met hod is useful. The dimensions of critical cylinders of different
sizes and of a critical sphere, all of the same composition, are related to each other through
the expression for the geometric buckling, B2, provided appropriate values of the cylinder
extrapolat ion distances are used. Effective values of cylinder extrapolation distances were
obtained from the following :elation using cylinder and sphere dimensions and sphere
extrapolation distances of Table 5.
B2 2.405 2 7r ) - r ( 2
re + ce h '+ 26c r T + b,
where r, = th :adius of the cylinder
h = the height of the cylinder
r, = the radius of the sphere
b = the effective extrapolation distance appropriate to these dimensions.
TABLE 5. SPHERE EXTRAPOLATION DISTANCES FOR GENERAL APPLICATION
OF FIG. 6 WITH WATER REFLECTION.
Sphere Extrapolation Distance 39 (cm)
At omic Ratio U /X ": 50 200 500 1000
2JU0OF25 5.4 5.2 5.2
5310, 5.6 5.2 5.0 5.0
Pu(NO3) 4 6.3 5.8 5.4 5.2
* xq2,u sob. 233 o a or P i d -hr- --h--t i.
* A queious solid iiions are' implied thiirughout thlis doct nent.
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Paxton, H.C. & Pruvost, N.L. Critical dimensions of systems containing /sup 235/U, /sup 239/Pu, and /sup 233/U: 1986 Revision, report, July 1, 1987; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1109879/m1/17/: accessed March 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.