Effect of Geometry on Resonance Absorption of Neutrons by Uranium

Abstract
The total resonance absorption of neutrons by spheres of uranium and uranium oxide imbedded in graphite and bombarded with essentially a dE/E spectrum is found to be given by 1/α=c[1+(κ/ρR)] where α is the advantage factor, that is, the ratio of absorption of uranium when distributed uniformly throughout graphite to the absorption when it is lumped in a sphere. R is the radius of the sphere and ρ is its density. c and ρ were measured in various parts of a large graphite block exposed to cyclotron neutrons from the reaction Li (p,n). Values of c and ρ, respectively, are 0.051 and 5.1 g/cm2 for U3O8. In a newer notation, A = 10.9 barns and μ = 1.95 g/cm2.

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