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

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Title:Exact analytical formula for a fifth virial coefficient of a hard-sphere mixture at infinite dilution for small diameter ratios
Creators:
Labík, Stanislav
Journal or Publication Title:
Collection of Czechoslovak Chemical Communications, 75, 2, pp. 165-173
Uncontrolled Keywords:Hard-sphere mixture, Statistical thermodynamics, Virial coefficients

Abstract

A new exact analytical formula for the fifth partial virial coefficient, <i>B</i><sub>5</sub><sup>[1]</sup>, of the additive hard-sphere mixture (i.e., for four spheres having diameters of σ<sub>1</sub> and one sphere having a diameter of σ<sub>2</sub>), for small diameter ratios (<i>s</i> = σ<sub>2</sub>/σ<sub>1</sub>), 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.

Title:Exact analytical formula for a fifth virial coefficient of a hard-sphere mixture at infinite dilution for small diameter ratios
Creators:
Labík, Stanislav
Uncontrolled Keywords:Hard-sphere mixture, Statistical thermodynamics, Virial coefficients
Divisions:Life and Chemical Sciences > Institute of Organic Chemistry and Biochemistry > Collection of Czechoslovak Chemical Communications
Journal or Publication Title:Collection of Czechoslovak Chemical Communications
Volume:75
Number:2
Page Range:pp. 165-173
E-ISSN:1212-6950
Publisher:Institute of Organic Chemistry and Biochemistry
Related URLs:
URLURL Type
http://dx.doi.org/10.1135/cccc2009119UNSPECIFIED
ID Code:5235
Item Type:Article
Deposited On:08 Mar 2010 12:31
Last Modified:08 Mar 2010 11:31

Citation

Labík, Stanislav (2010) Exact analytical formula for a fifth virial coefficient of a hard-sphere mixture at infinite dilution for small diameter ratios. Collection of Czechoslovak Chemical Communications, 75 (2). pp. 165-173.

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