Abstract
The fifth virial coefficient of a fluid of hard spheres is a sum of 238 irreducible cluster integrals of 10 different types. The values of 5 of these types (152 integrals) are obtained analytically, the contributions of a further 4 types (85 integrals) are obtained by a combination of analytical and numerical integration, and 1 integral is calculated by an approximation. The result is
E
= (0·1093 ± 0·0007)
b
4
,
b
= 2/3
πN
A
σ
3
, where
σ
is the diameter of a sphere. A combination of the values of 237 of the cluster integrals obtained in this paper with the value of one integral obtained independently by Katsura & Abe from a Monte Carlo calculation yields
E
= (0·1101 ± 0·0003)
b
4
.
Cited by
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