Thermodynamically self consistent radial distribution functions for inverse power potentials

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Abstract
A previously reported self consistent approximation for the pair distribution function is applied to inverse power potentials. Results are reported for the first six virial coefficients over the full range of such potentials. The thermodynamic properties and pair distributions functions are presented for the inverse sixth and twelfth power potentials and are shown to be in close agreement with the results of molecular dynamics and Monte Carlo calculations.