Collect. Czech. Chem. Commun. 2010, 75, 165-173
Published online 2010-02-19 10:07:04

Exact analytical formula for a fifth virial coefficient of a hard-sphere mixture at infinite dilution for small diameter ratios

Stanislav Labík

Department of Physical Chemistry, Institute of Chemical Technology, Prague, 166 28 Prague, Czech Republic


A new exact analytical formula for the fifth partial virial coefficient, B5[1], of the additive hard-sphere mixture (i.e., for four spheres having diameters of σ1 and one sphere having a diameter of σ2), for small diameter ratios (s = σ21), is derived. The derivation method is based on simple geometrical arguments and uses as the only input three first terms in the density expansion of the radial distribution function.

Keywords: Statistical thermodynamics; Hard-sphere mixture; Virial coefficients.

References: 16 live references.