Skip to main content
SpringerLink
Log in

Theoretical study of the curve of the melting point of iron with allowance for ionization by pressure

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

A curve of the melting point of iron up to 200 GPa is constructed on the basis of the Lindemann criterion. The transverse velocity of sound, needed for determining the Debye temperature, is calculated with allowance for ionization by pressure. The compression dependence of the concentration of free electrons is ascertained via the band structure of the metal obtained for various compression ratios by solving the Hartree-Fock-Slater equations of a self-consistent field in the Wigner—Seitz approximation of spherical cells. The calculated curve is compared with the experimental melting-point curve.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. M. Stishov,Usp. Fiz. Nauk,96, Issue 3, 467–496 (1968).

    Google Scholar 

  2. S. M. Stishov,Usp. Fiz. Nauk,114, Issue 1, 3–40 (1974).

    Google Scholar 

  3. V. V. Kechin,Zh. Fiz. Khim.,71, No. 3, 391–394 (1997).

    Google Scholar 

  4. Q. R. Williams, R. Jeanloz, J. Bass, and T. J. Ahrens,Science,236, 181–182 (1987).

    Article  Google Scholar 

  5. C. S. Yoo, N. C. Holmes, D. J. Webb, and C. Pike,Phys. Rev. Lett.,70, 3931–3934 (1993).

    Article  Google Scholar 

  6. V. D. Urlin,Zh. Eksp. Teor. Fiz.,49, Issue 2 (8), 485–492 (1965).

    Google Scholar 

  7. S. K. Saxena, G. Shen, and P. Lazor,Science,264, 405–407 (1994).

    Article  Google Scholar 

  8. R. Boehler,Nature,363, 534–536 (1993).

    Article  Google Scholar 

  9. R. Boehler,Phil. Trans. R. Soc. Lond.,A354, 1265–1278 (1996).

    Article  Google Scholar 

  10. E. Yu. Tonkov,Phase Diagrams of Elements at High Pressure [in Russian], Moscow (1979).

  11. D. A. Kirzhnits,Usp. Fiz. Nauk,104, Issue 3, 489–508 (1974).

    Google Scholar 

  12. V. S. Vorob’ev,Zh. Éksp. Teor. Fiz.,110, Issue 2 (8), 683–695 (1996).

    Google Scholar 

  13. J. Enderby and M. March, in:Phase Stability in Metals and Alloys [Russian translation], Moscow (1970), pp. 28–46.

  14. D. Pines,Elementary Excitations in Solids [Russian translation], Moscow (1965).

  15. J. Bardeen and D. Pines,Phys. Rev.,99, No. 4, 1140–1150 (1955).

    Article  MATH  Google Scholar 

  16. A. F. Nikiforov, V. G. Novikov, and V. B. Uvarov,Teplofiz. Vys. Temp.,25, No. 1, 12–21 (1987).

    Google Scholar 

  17. A. I. Voropinov, G. M. Gandel’man, and V. G. Podval’nyi,Usp. Fiz. Nauk,100, Issue 2, 193–224 (1970).

    Google Scholar 

  18. F. N. Borovik, A. M. El’yashevich, and G. S. Romanov,Dokl. Akad. Nauk BSSR,31, No. 2, 127–130 (1987).

    Google Scholar 

  19. C. B. Clark,Phys. Rev.,109, No. 4, 1133–1141 (1958).

    Article  MATH  Google Scholar 

Download references

Authors
  1. F. N. Borovik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. S. Romanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borovik, F.N., Romanov, G.S. Theoretical study of the curve of the melting point of iron with allowance for ionization by pressure. J Eng Phys Thermophys 72, 1025–1029 (1999). https://doi.org/10.1007/BF02699447

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02699447

Keywords

Search

Navigation