Collect. Czech. Chem. Commun. 2010, 75, 165-173
https://doi.org/10.1135/cccc2009119
Published online 2010-02-19 10:07:04

Exact analytical formula for a fifth virial coefficient of a hard-sphere mixture at infinite dilution for small diameter ratios

Stanislav Labík

Department of Physical Chemistry, Institute of Chemical Technology, Prague, 166 28 Prague, Czech Republic

References

1. Hill T. L.: Statistical Mechanics. McGraw-Hill, New York 1956.
2. Uhlenbeck G. E., Ford G. W. in: Studies in Statistical Mechanics (J. de Boer and G. E. Uhlenbeck, Eds). North-Holland, Amsterdam 1962.
3. Kihara T.: Rev. Mod. Phys. 1955, 27, 412. <https://doi.org/10.1103/RevModPhys.27.412>
4. Kihara T., Miyoschi K.: J. Stat. Phys. 1975, 13, 337. <https://doi.org/10.1007/BF01012012>
5. Blaak R.: Mol. Phys. 1998, 95, 695. <https://doi.org/10.1080/00268979809483203>
6. Barrio C., Solana J. R. in: Theory and Simulation of Hard-Sphere Fluids and Related Systems, Lect. Notes in Phys. 753 (A. Mulero, Ed.), p. 133. Springer, Berlin–Heideberg 2008.
7. Enciso E., Almarza N. G., Gonzalez M. A., Bermejo F. J.: Phys. Rev. E 1998, 57, 4486. <https://doi.org/10.1103/PhysRevE.57.4486>
8. Saija F., Fiumara G., Giaquinta P. V.: Mol. Phys. 1997, 92, 1089. <https://doi.org/10.1080/00268979709482181>
9. Wheatley R. J., Saija F., Giaquinta P. V.: Mol. Phys. 1998, 94, 877. <https://doi.org/10.1080/00268979809482383>
10. Vlasov A. Yu., You X. M., Masters A. J.: Mol. Phys. 2002, 100, 3313. <https://doi.org/10.1080/00268970210153754>
11. Vlasov A. Yu., Masters A. J.: Fluid Phase Equilib. 2002, 212, 183. <https://doi.org/10.1016/S0378-3812(03)00282-6>
12. Labík S., Kolafa J.: Mol. Phys., submitted.
13. Labík S., Smith W. R.: Mol. Simul. 1994, 12, 23. <https://doi.org/10.1080/08927029408022533>
14. Nijboer B. R. A., van Hover L.: Phys. Rev. 1952, 85, 777. <https://doi.org/10.1103/PhysRev.85.777>
15. Monagan M. B., Geddes K. O., Heal K. M., Labahn G., Vorkoetter S. M., McCarron J., DeMarco P.: Maple 9 Advanced Programming Guide. Maplesoft, Waterloo (ON) 2003.
16. Labík S., Kolafa J.: Phys. Rev. E 2009, 8, 051122. <https://doi.org/10.1103/PhysRevE.80.051122>