The third cross virial coefficient of hard convex bodies

Abstract

Third cross virial coefficients of different combinations of hard prolate spherocylinders, hard oblate spherocylinders and hard spheres were calculated employing a simple Monte Carlo method. Obtained results were compared with a semiempirical relation proposed by one of the present authors. Two semiempirical relations devised recently for pure fluids were extended to yield the cross third virial coefficients. Satisfactory agreement was found in the case of moderately non-spherical bodies. For higher non-sphericities, theoretical values differ from Monte Carlo values up to 7%. Considerable regularities were found in series of one combination with an increase of the parameters L and/or D.