Hard sphere: virial coefficients

• hard disks: dimension =2
• hard spheres: dimension =3

Virial / Dimension	2	3	4	5	6	7	8
$B_{3}/B_{2}^{2}$	0.782004...	0.625	0.506340...	0.414063...	0.340941...	0.282227...	0.234614...
$B_{4}/B_{2}^{3}$	0.53223180...	0.2869495...	0.15184606...	0.0759724807...	0.03336314...	0.0098649662...	-0.00255768...
$B_{5}/B_{2}^{4}$
$B_{6}/B_{2}^{5}$
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle B_{7}/B_{2}^{6}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_8/B_2^7}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_9/B_2^8}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_10/B_2^9}

This table is taken directly from Table 1 in Ref. 2.

References

1. Stanislav Labík, Jirí Kolafa, and Anatol Malijevský, "Virial coefficients of hard spheres and hard disks up to the ninth", Physical Review E 71 pp. 021105 (2005)
2. Nathan Clisby and Barry M. McCoy "Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions", Journal of Statistical Physics 122 pp. 15-57 (2006)