Abstract

At the limit of extremely small sizes the absorbed fraction for internal gamma -emitters can be shown to vary as the cube root of the mass. As the mass is increased the effects of attenuation and multiple scatter cause a shift from this simple dependence. These effects become significant at relatively small sizes; at about 10 g of mass the attenuation correction is 10% of the absorbed fraction. However, the attenuation and multiple scatter effects enter with opposite signs and approximately the same magnitude. Because of this approximate cancellation, the simple cube root dependence is valid to within 10% for masses up to 1 kg. This is of considerable computational significance for small masses, since the mathematics is simple and well known.

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