Skip to main content

On the law of corresponding states for thermodynamic properties of a crystal


To study thermodynamic similarity of the properties of crystalline substances, we propose an approach connected with engaging of the metastable state region. Internal pressure and specific volume on the crystal’s stability boundary at T = 0 K are used as characteristic scales of thermodynamic variables. A semiempirical method of calculation of the stability boundary by the thermodynamic data related to the stable states region of a solid body is described. In the cases of argon and natrium, the stability boundary is calculated for a wide range of temperatures and pressures. Analysis of the properties of neon, argon, krypton, and xenon crystals in these variables indicates that the law of corresponding states holds for these substances.

This is a preview of subscription content, access via your institution.


  1. 1.

    Skripov, V.P. and Faizullin, M.Z., Crystal-Liquid-Gas Transitions and Thermodynamic Similarity, Weinheim: Wiley-VCH Verlag, 2006.

    Google Scholar 

  2. 2.

    Simon, F.E. and Glatzel, G., Bumerkungen zur. Schmezdruckkurve, Ztschr. anorg. Chem., 1929, vol. 178, pp. 309–316.

    Article  Google Scholar 

  3. 3.

    Zharkov, V.N. and Kalinin, V.A., Uravneniya sostoyania tverdykh tel pri vyskokikh davleniyakh I temperaturakh (Equations of State of Solid Bodies under High Pressures and Temperatures), Moscow: Nauka, 1968.

    Google Scholar 

  4. 4.

    Rabinovich, V.A., Vasserman, A.A., Nedostup, V.I., and Veksler, L.S., Thermophysical Properties of Neon, Argon, Krypton, and Xenon, Selover T.B. Jr. (Ed.), Monograph of the National Standard Reference Data Service of the USSR, New York: Hemisphere Publ. Corp., 1988.

    Google Scholar 

  5. 5.

    Babb, S.E., Parameters in the Simon Equation Relating Pressures and Melting Temperatures, Rev. Mod. Phys., 1963, vol. 35, pp. 400–413.

    MATH  Article  ADS  Google Scholar 

  6. 6.

    Beecroft, R.I. and Swenson, C.A., An Experimental Equation of State for Sodium, J. Phys. Chem. Solids, 1961, vol. 18, pp. 329–344.

    Article  Google Scholar 

  7. 7.

    Makarenko, I.N., Nikolaenko, A.M., Ivanov, V.A., and Stishov, S.M., Equation of State of Alcali Metals: Natrium, J. Exp. Teor. Fiz., 1975, vol. 69, pp. 1723–1733.

    Google Scholar 

Download references

Author information



Corresponding author

Correspondence to M. Z. Faizullin.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Faizullin, M.Z. On the law of corresponding states for thermodynamic properties of a crystal. J. Engin. Thermophys. 16, 139–144 (2007).

Download citation


  • Internal Pressure
  • Neon
  • Characteristic Scale
  • Stability Boundary
  • Krypton