Virial coefficients of anisotropic hard solids of revolution: The detailed influence of the particle geometry
Publication date
2017-11-28
Document type
Research article
Author
Organisational unit
Universität Rostock
Scopus ID
Pubmed ID
Series or journal
The journal of chemical physics : JCP
Periodical volume
147
Periodical issue
20
Peer-reviewed
✅
Part of the university bibliography
Nein
Language
English
Abstract
We provide analytical expressions for the second virial coefficients of differently shaped hard solids of revolution in dependence on their aspect ratio. The second virial coefficients of convex hard solids, which are the orientational averages of the mutual excluded volume, are derived from volume, surface, and mean radii of curvature employing the Isihara-Hadwiger theorem. Virial coefficients of both prolate and oblate hard solids of revolution are investigated in dependence on their aspect ratio. The influence of one- and two-dimensional removable singularities of the surface curvature to the mutual excluded volume is analyzed. The virial coefficients of infinitely thin oblate and infinitely long prolate particles are compared, and analytical expressions for their ratios are derived. Beyond their dependence on the aspect ratio, the second virial coefficients are influenced by the detailed geometry of the particles.
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