Hard sphere: virial coefficients

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Virial / Dimension 2 3 4 5 6 7 8
B3/B22 0.782004... 0.625 0.506340... 0.414063... 0.340941... 0.282227... 0.234614...
B4/B23 0.53223180... 0.2869495... 0.15184606... 0.0759724807... 0.03336314... 0.0098649662... -0.00255768...
B5/B24
B6/B25
B7/B26
B8/B27
B9/B28
B10/B29

Virial coefficients of hard spheres and hard disks can be found in the following references.


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)