The Monte Carlo analysis of resonance integral experiments involving the insertion of a small material sample into a large moderating region of a reactor encounters difficulty due to the paucity of neutrons in the moderator which actually see the sample prior to thermalizing. This cannot, in general, be remedied by picking source neutrons incident on the surface of the sample since the distribution of such particles is not known. It is possible in a Monte Carlo calculation, however, to consider neutrons incident on the surface of the sample which have not been previously aware of the sample's existence.
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