Collect. Czech. Chem. Commun.
2010, 75, 165-173
https://doi.org/10.1135/cccc2009119
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
Abstract
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 = σ2/σ1), 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.
