"The slowing down of neutrons from fission to absorption energies in a homogeneous medium has been treated by a Monte Carlo method. thermalization by elastic collisions in both light and heavy water was computed on an IBM 650. One-sixth the mean-square distance travelled by the neutrons was interpreted as the migration area. This quantity was analyzed to give the age, t, both above and below the indium resonance, and the thermal diffusion constant. D, as functions of the moderator temperature, the effective moderator mass, the moderator composition, the scattering the absorption laws, and the energy distribution of the neutron source. …
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Atomic Energy Commission Report AECU-3758
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"The slowing down of neutrons from fission to absorption energies in a homogeneous medium has been treated by a Monte Carlo method. thermalization by elastic collisions in both light and heavy water was computed on an IBM 650. One-sixth the mean-square distance travelled by the neutrons was interpreted as the migration area. This quantity was analyzed to give the age, t, both above and below the indium resonance, and the thermal diffusion constant. D, as functions of the moderator temperature, the effective moderator mass, the moderator composition, the scattering the absorption laws, and the energy distribution of the neutron source. The migration area from the fission eneergy source to below the indium resonance energy (1.46 ov) was found ro be 27.4cm^2 for H2O and 120 cm^2 for D2O. By varying the absorption cross section, the migration area from the indiu, resonance energy to absorption of the neutrons could be decompsed into components D/L^2 and Ts. D and Ts were found to be 0.19 cm and 0.77 cm^2 respectively for H2O and 0.87 cm and 20 cm^2 for D2O. D was found to increase with the thermal agitation of the moderator at the rate of 0.15$/C for H2O and 0.14%/C for D2O. Neutron energy distributions found from the scattering frequency agree with those derived by analytical methods."
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