5-32 Jezebel is a bare, fast, spherically shaped critical reactor constructed of pure $^{239}Pu$ metal (density 15.4 g/cm³). Calculate the critical radius and critical mass of the reactor using the one-group data: $\nu = 2.98$, $\sigma_f = 1.85$ b, $\sigma_a = 0.26$ b, and $\sigma_tr = 6.8$ b.
5-33 There has been considerable interest in the possibility of super heavy nuclei with mass numbers A > 300. Such nuclei would be characterized by large values of $\nu$ (~6-10).
Using the results of Problem 5-32, study the effect of varying $\nu$ on the critical radius and mass of a bare sphere of such material.