Critical dimensions of systems containing /sup 235/U, /sup 239/Pu, and /sup 233/U: 1986 Revision Page: 27 of 205
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HOMOGENEOUS HYDROGEN-MODERATED URANIUM
HIGHLY ENRICHED URANiUM
Figures 10 and 11 represent critical masses and critical volumes of homogeneous water-
moderated spheres of U(93.2), both bare (except for the thin-wall container) and watei
reflected. For a water-reflected sphere of 1(93.2) metal at a density of 18.75 g/cm3, the
critical mass is 22.8 kg 231U and the critical volume is 1.30 L. Estimates of diameters
of infinite critical cylinders of U(93.2)02F2 solution appear in Fig. 12, and corresponding
estimates of thicknesses of infinite critical slabs appear in Fig. 13. Values for water-reflected
IT(93.2)metal are 7.5 cm infinite cylinder diameter and 1.4 cm infinite slab thickness. It
should be noted that the curve for bare infinite slabs is fictitious because a slab of infinite
extent would intercept neutrons returned from material at any distance. Nevertheless, it
may be useful for comparison with similarly fict itious calculations.
The branched curves of the figures show how concentrated U02F2 solutions depart from
ideal metal-water mixtures. As indicated by the computed curve for UO2-water in Fig. 10,
densities of the fissile isotope in metal-water mixtures are greater thi actually found
in practice; hence, critical values are lower limits that may be quite . tiervative. For
convenience the assumed relations between the density of 23sU and the atomic ratio H /235u
for solutions and metal-water mixtures are given in Table 7.47 Similar relations for 233U
and Pu (Ref. 26) are also included.
The appendix gives theoretical densities of unmoderated common uranium compounds.
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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/m1/27/: accessed March 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.