Title: Virial coefficients of anisotropic hard solids of revolution: The detailed influence of the particle geometry
Authors: Herold, Elisabeth
Hellmann, Robert 
Wagner, Joachim
Language: eng
Issue Date: 28-Nov-2017
Document Type: Article
Journal / Series / Working Paper (HSU): The journal of chemical physics : JCP
Volume: 147
Issue: 20
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.
Organization Units (connected with the publication): Universität Rostock
ISSN: 00219606
Publisher DOI: 10.1063/1.5004687
Appears in Collections:6 - Bibliographic Data - Publications of the HSU Researchers (before HSU)

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