Abstract
The method of two-point Pade approximants is used to interpolate between the low-temperature and high-temperature expansions of the second and third cluster integrals (b 2 andb 3) of a quantum hard-sphere gas.b 2 is used as a test case, since accurate numerical values are available. Using only a limited number of terms from the series (about as many as are available forb 3), we are able to represent both the direct and exchange parts to better than 1% over the entire temperature range. Forb 3 there are no accurate values available, but the qualitative similarity of the results to those forb 2 leads us to believe that we have a reasonably good representation of both the direct and exchange parts ofb 3.
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