Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
The Second Virial Coefficient of Non-Spherical Molecules
Taro Kihara
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1951 年 6 巻 5 号 p. 289-296

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The Lennard-Jones model of molecules of spherical symmetry has been generalized to non-spherical models without sacrificing analytical integrability of the second virial coefficient. The essential generalization consists in the definition of the intermolecular distance, ρ, the intermolecular potential, U, being supposed to be a function of ρ only and
U(ρ)=U0\left[\fracmnm\left(\fracρ0ρ\ ight)n−\fracnnm\left(\fracρ0ρ\ ight)m\ ight], n>m>3.
As the simplest extension ρ is defined by the shortest distance between molecule cores, as which thin rods (disks) are adopted in case of prolonged (flat) molecules. Next, ρ is so defined that the model becomes an attracting spheroid. For thèse models the second virial coefficient has been integrated analytically and tabulated. The model Constants have been determined for H2, N2, C2H4 and CO2.
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