New equations of state for the hard polyhedron fluids

Abstract

In this paper, we derived a new equation of state for hard polyhedron fluids that is obtained by the knowledge of virial coefficients and a fit to the computer simulation data for the compressibility factor, and which contains two adjustable parameters. This equation reproduces exactly the correct known virial coefficients up to the ninth one and also the compressibility factor data with high accuracy, the absolute average deviations (AADs) being 0.05% for the stable state and 1.12% for both stable and metastable states for the hard tetrahedron fluid. For 12 of the other hard polyhedron fluids, it reproduces exactly the correct known virial coefficients up to the eighth one and also the compressibility factor data in the stable state with AADs less than 0.25%, with the only exception being the triangular prism polyhedron fluid.