Second virial coefficient of a generalized Lennard-Jones potential

We present an exact analytical solution for the second virial coefficient of a generalized Lennard-Jones type of pair potential model. The potential can be reduced to the Lennard-Jones, hard-sphere, and sticky hard-sphere models by tuning the potential parameters corresponding to the width and depth...

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Veröffentlicht in:The Journal of chemical physics 2015-01, Vol.142 (3), p.034305-034305
Hauptverfasser: González-Calderón, Alfredo, Rocha-Ichante, Adrián
Format: Artikel
Sprache:eng
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Zusammenfassung:We present an exact analytical solution for the second virial coefficient of a generalized Lennard-Jones type of pair potential model. The potential can be reduced to the Lennard-Jones, hard-sphere, and sticky hard-sphere models by tuning the potential parameters corresponding to the width and depth of the well. Thus, the second virial solution can also regain the aforementioned cases. Moreover, the obtained expression strongly resembles the one corresponding to the Kihara potential. In fact, the Fk functions are the same. Furthermore, for these functions, the complete expansions at low and high temperature are given. Additionally, we propose an alternative stickiness parameter based on the obtained second virial coefficient.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.4905663