Skip to main content

An Analytical Equation of State for Alkaline Earth Metals


In this work, an analytical equation of state based on statistical mechanical perturbation theory, which was initially developed for normal fluids and can be applied to predict the PVT data for saturated liquid alkaline earth metals, is presented. The equation of state is that of Ihm, Song, and Mason, and the temperature-dependent parameters of the equation of state are calculated from a corresponding-states correlation as functions of the reduced temperature. Two scaling constants are sufficient for this purpose, the surface tension and the liquid density at the melting point. The equation of state is used to predict the saturated liquid density of molten alkaline earth metals from the melting point up to 2000 K, for which experimental data exist, within an accuracy of 5%.

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


  1. 1.

    Y. Song and E. A. Mason, J. Chem. Phys. 91:7840(1989).

    ADS  Article  Google Scholar 

  2. 2.

    Y. Song and E. A. Mason, Fluid Phase Equilib. 75:105(1992).

    Article  Google Scholar 

  3. 3.

    G. Ihm, Y. Song, and E. A. Mason, J. Chem. Phys. 94:3839(1991).

    ADS  Article  Google Scholar 

  4. 4.

    A. Boushehri and E. A. Mason, Int. J. Thermophys. 14:685(1993).

    ADS  Article  Google Scholar 

  5. 5.

    M. H. Ghatee and A. Boushehri, Int. J. Thermophys. 17:945(1996).

    ADS  Article  Google Scholar 

  6. 6.

    F. M. Tao and E. A. Mason, Int. J. Thermophys. 13:1053(1992).

    ADS  Article  Google Scholar 

  7. 7.

    D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1976).

    MATH  Google Scholar 

  8. 8.

    J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. 54:5237(1971).

    ADS  Article  Google Scholar 

  9. 9.

    N. F. Carnahan and K. E. Starling, J. Chem. Phys. 51:635(1969).

    ADS  Article  Google Scholar 

  10. 10.

    P. I. Bystrov, D. N. Kagan, G. A. Krechetova, and E. E. Shpilrain, Zhidrometallicheskie Teplonositeli Dlya Teplovgh Trubi Energeticheskih (Liquid Metal Heat-Carriers for Heat Pipe Facilities) (Nauka Press, Moscow, 1988).

    Google Scholar 

Download references

Author information



Corresponding author

Correspondence to H. Eslami.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Moghadasi, J., Boushehri, A., Maftoon, L. et al. An Analytical Equation of State for Alkaline Earth Metals. International Journal of Thermophysics 25, 901–908 (2004).

Download citation

  • alkaline earth metals
  • correlation
  • equation of state
  • liquid density
  • surface tension