Third Virial Coefficient for Intermolecular Potentials with Hard Sphere Cores

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Abstract
A general method is described for evaluating the third virial coefficient for any intermolecular potential in which the interaction varies as a sum of inverse powers of the distance outside a hard-sphere core. The calculations involve only simple algebraic operations and can be extended to include angular dependent potentials, quantum effects, and mixtures of molecules. An illustrative calculation on a modified Lennard-Jones potential shows the dependence of the third virial coefficient on the repulsive forces.