High Temperature

, Volume 55, Issue 5, pp 702–710 | Cite as

Calculation of thermodynamic properties of SF6 including the critical region. Thermal functions and speed of sound

  • P. P. Bezverkhii
  • V. G. Martynets
  • A. B. Kaplun
  • A. B. Meshalkin
Thermophysical Properties of Materials


Specific heats C v and C p, entropy S, enthalpy H, and speed of sound W have been calculated using a new thermal equation of state with a small number of variable constants, which includes regular and scale contributions with a new transition function. The calculation results correspond to the accuracy level of the modern reference equations of state with a large number of determined parameters in the regular behavioral region of SF6 properties; in the critical region, these results make it possible to supplement the existing reference data with the related tables, taking into account the scaling-theory advances. The experimental and tabular data on C v, C p, S, H, and W have not been used to determine the constants of the calculation equations (except for isochoric specific heat, C v, in the ideal-gas state). These data have been applied only for comparison of the calculated values with the experimental and tabular values. To calculate the behavior of thermal properties in the critical region, universal critical indices α, β, and γ have been used according to the threedimensional Ising model. The mean error in describing thermal properties of SF6 does not exceed the error of the existing experimental data. The calculated values coincide with the modern reference data in the regular region in the entire range of gas and liquid states. The discrepancies in the critical region are due to the application of the scale equation of state (in contrast to the regular equations used previously in this region for composing reference tables).


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Cherneeva, L.I., Torshin, A.S., and Bobrov, E.P., Izv. Akad. Nauk SSSR, Energ. Transp., 1978, vol. 3, p. 169.Google Scholar
  2. 2.
    Sirota, A.M., Khromykh, Yu.A., and Gol’dshtein, I.I., Teploenergetika, 1979, no. 12, p. 62.Google Scholar
  3. 3.
    Bier, K., Maurer, G., and Sand, H., Ber. Bunsen-Ges. Phys. Chem., 1980, vol. 84, p. 430.CrossRefGoogle Scholar
  4. 4.
    Haupt, A. and Straub, J., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1999, vol. 59, p. 1795.CrossRefGoogle Scholar
  5. 5.
    Beck, L., Ernst, G., and Gurtner, J., J. Chem. Thermodyn., 2002, vol. 34, p. 277.CrossRefGoogle Scholar
  6. 6.
    Guder, C. and Wagner, W.A., J. Phys. Chem. Ref. Data, 2009, vol. 38, p. 33.ADSCrossRefGoogle Scholar
  7. 7.
    Scalabrin, G., Bettio, L., Marchi, P., and Stringari, P., J. Phys. Chem. Ref. Data, 2007, vol. 36, no. 2, p. 617.ADSCrossRefGoogle Scholar
  8. 8.
    Bezverkhii, P.P., Martynets, V.G., Kaplun, A.B., and Meshalkin, A.B., High Temp., 2017, vol. 55, no. 5, p. 693.CrossRefGoogle Scholar
  9. 9.
    Landau, L.D. and Lifshits, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1976, part1.MATHGoogle Scholar
  10. 10.
    Agayan, V.A., Anisimov, M.A., and Sengers, J.V., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2001, vol. 64, 026125.CrossRefGoogle Scholar
  11. 11.
    Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, summ, ryadov i proizvedenii (Tables of Integrals, Sums, Series, and Products), Moscow: Fizmatgiz, 1962.Google Scholar
  12. 12.
    Schneider, W.G., Can. J. Chem., 1951, vol. 29, no. 3, p. 243.CrossRefGoogle Scholar
  13. 13.
    Schneider, W.G., J. Chem. Phys., 1950, vol. 18, p. 759.CrossRefGoogle Scholar
  14. 14.
    Bezverkhii, P.P., Martynets, V.G., and Matizen, E.V., JETP, 2009, vol. 109, no. 2, p. 262.ADSCrossRefGoogle Scholar
  15. 15.
    Cannell, D.S. and Sarid, D., Phys. Rev. A: At., Mol., Opt. Phys., 1974, vol. 10, no. 6, p. 2280.ADSCrossRefGoogle Scholar
  16. 16.
    NIST Standard Reference Database, Linstorm, P.J. and Mallard, W.G., Eds., 2005, no. 69. http://webbook. Scholar

Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • P. P. Bezverkhii
    • 1
  • V. G. Martynets
    • 1
  • A. B. Kaplun
    • 2
  • A. B. Meshalkin
    • 2
  1. 1.Nikolaev Institute of Inorganic Chemistry, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Kutateladze Institute of Thermophysics, Siberian BranchRussian Academy of SciencesNovosibirskRussia

Personalised recommendations