The effect of neutron energy dependence and anisotropic scattering on the linear extrapolation distance of a black sphere. II. Numerical examples

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For pt.I see ibid., vol.7, p.2174 (1974). The authors consider the diffusion of neutrons in an infinite non-absorbing medium, in which is embedded a black sphere. A numerical study of the extrapolation distance for the sphere has been carried out using the variational method. The effects of energy-dependent cross-sections and linear anisotropy of scattering have been included. It is found that, when scaled in units of the Maxwellian averaged mean free path, the effect of energy dependence leads to differences of about 1% in the value of the extrapolation distance when compared with the one-speed values. The effect of linear anisotropy of scattering is included and evaluated numerically in the one-speed case by means of a novel, non-variational method.