Third virial coefficient of hard spheroids

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The third virial coefficient B3 of a fluid of spheroids is calculated by direct integration using the method of 2-point measures of convex body geometry. Calculations are performed for aspect ratios up to 10 for both prolate and oblate spheroids. The infinite set of 2-point measures has five indices. The three numerical ones, L, L′ and m, are standard quantities in the theory of the rotation group. These new calculations use truncation at the L = L′ = 2 level. The results show dramatic improvement over previous results at the L = L′ = 1 level and are in excellent agreement with existing Monte Carlo calculations of B3.

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Molecular Physics