Skip to main content
SpringerLink
Log in

Thermodynamic properties and phase equilibria in the Cr-P system

  • Published:
Journal of Phase Equilibria

Abstract

A Knudsen effusion method with mass-spectrometric analysis of gaseous phase has been applied to investigate the thermodynamic properties of the chromium phosphides (1341 to 1704 K) and Cr-P liquid alloys (1664 to 1819 K). Simultaneously, DSC has been used to measure heat capacities of chromium phosphides Cr3P and Cr12P7 in the temperature range of113 to 873 K. The entropies of formation of chromium phosphides calculated according to the second and third laws of thermodynamics agree within the limits of experimental error. The Gibbs energies of formation of the phosphides from solid Cr and P2 gas have been approximated with the following equations (in J/mol): AfG0(Cr3P) = −(244 112 ±2800) + (70.95 ±1.80)T ΔG0(Cr122P7) = −(1563 678 ±15 350) + (440.6 ±9.90)T Thermodynamic properties of liquid solutions have been described with the ideal associated-solution model assuming that CrP, Cr2P, Cr3P, and Cr3P2 complexes exist in the melt. The phase diagram computed with the help of the thermodynamic data agrees with the published information.

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

Cited References

  1. V.I. Pogorelii, V.K. Tagirov, E.K. Kasenas, V.Ya. Dashevskii, and B.I. Kashin,Reducing Processes in Production of Ferroalloys, Nauka, Moscow, 54 (1977) in Russian.

    Google Scholar 

  2. CE. Myers, G.A. Kisacky, and J.K. Klingert,J. Electrochem. Soc, 132, 236 (1985).

    Article  Google Scholar 

  3. A.I. Zaitsev, M.A. Zemchenko, A.D. Litvina, and B.M. Mogutnov,Z. Metallkd., 84, 178 (1993).

    Google Scholar 

  4. A. I. Zaitsev, N. V. Korolyov, and B. M. Mogutnov,J. Chem. Thermodynamics, 23, 11 (1991).

    Article  Google Scholar 

  5. A. I. Zaitsev, Zh. V. Dobrokhotova, A. D. Litvina, and B. M. Mogutnov,J. Chem. Soc, Faraday Trans., 91, 703 (1995).

    Article  Google Scholar 

  6. L. V. Gurvich,Vestnik Akad. Nauk SSSR, 3, 54 (1983).

    ADS  Google Scholar 

  7. A. I. Zaitsev, M. A. Zemchenko, and B.M. Mogutnov,Russian J. Phys. Chem., 64, 3377 (1990).

    Google Scholar 

  8. A.I. Zaitsev, N.V. Korolyov, and B.M. Mogutnov,Teplophys. Vys. Temp. 27, 465 (1989) in Russian.

    Google Scholar 

  9. A.I. Zaitsev, N.V. Korolyov, and B.M. Mogutnov,High Temp. Sci., 28, 341 (1990).

    Google Scholar 

  10. A.I. Zaitsev,Zavod Lab., 56, 57 (1990) in Russian.

    Google Scholar 

  11. J. Drowart,Mass-spectrometry, J. Marsel, Ed., J. Stefen Inst., Ljubljana, 187–242 (1971).

    Google Scholar 

  12. I. Karakaya, and W.T. Tompson,Bull. Alloy Phase Diagrams, 9, 232 (1988).

    Article  Google Scholar 

  13. J. B. Mann,Proc. Int. Conf. Mass Spectroscopy, T. Ogata and T. Hayakawa, Ed., University Park Press, Tokyo, 814 (1970).

    Google Scholar 

  14. D. Sh. Tsagareishvili, Dr. Sc. Thesis, Institut Metallurgii, Tbilisi, (1983) in Russian.

    Google Scholar 

  15. Zh.V. Dobrokhotova, A.I. Zaitsev, M.A. Zemchenko, A.D. Litvina, B.M. Mogutnov, and S.N. Yashchenko,J. Therm. Anal, 18, 1113 (1992).

    Article  Google Scholar 

  16. A. I. Zaitsev, M. A. Zemchenko, and B. M. Mogutnov,Russ. J. Phys. Chem., 64, 1187 (1990).

    Google Scholar 

  17. M. Hansen and K. Anderko,Constitution of Binary Alloys, 2nd ed., McGraw-Hill, New York (1958).

    Google Scholar 

  18. F. Weibke, and G. Schrag,Z. Electrochem., 47, 222 (1941).

    Google Scholar 

  19. G. Lewis, and C. E. Myers,J. Phys. Chem., 67, 1289 (1963).

    Article  Google Scholar 

  20. P. Spencer and O. A. Kubaschewski,Arch. Eisenhiittenwes., 49, 225 (1978).

    Google Scholar 

  21. J. Barin, O. Knacke, and O. Kubaschewski,Thermochemical Properties of Inorganic Substances, Supplement, Springer-Verlag, Berlin (1977).

    Book  Google Scholar 

  22. R. Hultgren, P. D. Desai, D. T. Hawkins, et al.,Selected Values of the Thermodynamic Properties of the Elements, American Society for Metals, Metals Park, OH, 134 (1973).

    Google Scholar 

  23. G. R. Belton, and R. J. Fruechan,Metall. Trans., 2, 291 (1971).

    Article  Google Scholar 

  24. H. G. Hadrys, M. G. Frohberg, J. Elliott, and C.H.P. Lupis,Metall. Trans., 1, 1867 (1970).

    Article  Google Scholar 

  25. M.G. Frohberg, J. Elliott, and H.G. Hadrys,Arch. Eisenhiittenwes., 39, 587 (1968).

    Google Scholar 

  26. Y. E. Lee,Metall. Trans. B, 17, 777 (1986).

    Article  Google Scholar 

  27. E. Schurmann, H.P. Kaiser, and U. Hensgen,Arch. Eisenhiittenwes., 52, 51 (1981).

    Google Scholar 

  28. M. Yamamoto, K. Yamada, L.L. Meschkov, and E. Kato,Tetsu-to-Hagané, 66, 2032 (1980).

    Google Scholar 

  29. J. Bookey,J. Iron Steel Inst., 172, 61 (1952).

    Google Scholar 

  30. H. Schenck, E. Steinmetz, and R. Gohlke,Arch. Eisenhuttenwes., 37, 775 (1966).

    Google Scholar 

  31. E.T. Turkdogan,Physical Chemistry of High Temperature Technology, Academic Press, London (1980).

    Google Scholar 

  32. R. Vogel and G. W. Kasten,Arch. Eisenhuttenwes., 12, 387 (1939).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physical Metallurgy, Moscow, Russia

    A. I. Zaitsev, N. E. Shelkova, A. D. Litvina & B. M. Mogutnov

  2. Kurnakov Institute of General and Inorganic Chemistry, Moscow, Russia

    Zh. V. Dobrokhotova

Authors
  1. A. I. Zaitsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. E. Shelkova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. D. Litvina
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. M. Mogutnov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zh. V. Dobrokhotova
    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

Zaitsev, A.I., Shelkova, N.E., Litvina, A.D. et al. Thermodynamic properties and phase equilibria in the Cr-P system. J Phase Equil. 19, 191–199 (1998). https://doi.org/10.1361/105497198770342201

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1361/105497198770342201

Keywords

Search

Navigation