Skip to main content
Log in

The margules concept: The basis of modern Algebraic representations of thermodynamic excess properties

  • Published:
Journal of Phase Equilibria

Abstract

A modern description of molar excess properties is reducible to the Margules concept of representing the partial pressure of the components of mixtures by power series. Unifying to a common parameter set for representing all component properties is possible. Generalization to multicomponent systems may be performed easily. The temperature dependence of the excess Gibbs energy, Gex(T,X), and of the enthalpy of mixing, Δmix H ex(T,X), was incorporated. Application is illustrated with mass spectrometric data for liquid Au-Co alloys and with calorimetric data for liquid binary Sb-Sn and ternary Fe-Ni-Zr alloys. These three different application types demonstrate the usefulness, reliability, and powerfulness of the generalized Margules concept.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Cited references

  1. M. Margules, Sitzber.d. mathem.-naurw. CI.; CIV. Bd., Abth. II.a., 1243–1278(1895).

  2. C. Carlson and A.P. Colburn,Ind. Eng. Chem., 34, 581 (1942).

    Article  Google Scholar 

  3. O. Redlich and A.T. Kister,Ind. Eng. Chem., 40, 345–350 (1948).

    Article  Google Scholar 

  4. E. Hala, J. Pick, V. Fried, and O. Vilim,Vapour-Liquid Equilibrium, Pergamon Press, London/New York/Paris/Los Angeles (1958).

    Google Scholar 

  5. H. Meschkowsky,Matematisches Begriffswörterbuch, Bibliographisches Institut, Mannheim (1966).

    Google Scholar 

  6. J.D. Esdaile,Metall. Trans., 2, 2277–2282 (1971).

    Article  Google Scholar 

  7. A. Neckel, L. Erdélyi, E. Buschmann, and H. Nowotny,Monatsh. Chem., 106, 355–367 (1975).

    Article  Google Scholar 

  8. J. Tomiska,CALPHAD, 4, 63–81 (1980).

    Article  Google Scholar 

  9. J. Tonüska, CALPHAD,5, 81–92 (1981).

    Article  Google Scholar 

  10. J. Tomiska,CALPHAD, 5, 93–102 (1981).

    Article  Google Scholar 

  11. F. Sommer, R. Lück, N. Rupf-Bolz, and B. Predel,Mater. Res. Bull., 18, 621–625 (1983).

    Article  Google Scholar 

  12. J. Tomiska,CALPHAD, 8, 283–284 (1984).

    Article  Google Scholar 

  13. J. Tomiska,CALPHAD, 9, 15–28 (1985).

    Article  Google Scholar 

  14. J. Tomiska,Z. Metallkd., 76, 532–537 (1985).

    Google Scholar 

  15. N.A. Gokcen, Statistical Thermodynamics of Alloys, Plenum Press, New York (1986).

    Book  Google Scholar 

  16. J. Tomiska,CALPHMD, 10, 91–100 (1986).

    Article  Google Scholar 

  17. J. Tomiska,CALPHAD, 10, 239–252 (1986).

    Article  Google Scholar 

  18. J. Tomiska,Thermochim. Acta, 151, 145–157,159–170(1989).

    Article  Google Scholar 

  19. H. Wang, R. Lück, and B. Predel,Z Metallkd., 82, 659–663 (1990).

    Google Scholar 

  20. I. Arpshofen, R. Lück, B. Predel, and J.F. Smith,J. Phase Equilibria, 12(2), 141–145 (1991).

    Article  Google Scholar 

  21. J. Tomiska, R. Lück, and B. Predel,Z. Metallkd., 82, 935–994 (1991).

    Google Scholar 

  22. H. Wang, R. Lück, and B. Predel,J. Phase Equilibria, 14, 48–53 (1993).

    Article  Google Scholar 

  23. J. Tomiska and H. Want,Ber. Bunsenges. Phys. Chem., 99, 633–640 (1995).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tomiska, J., Neckel, A. The margules concept: The basis of modern Algebraic representations of thermodynamic excess properties. JPE 17, 11–20 (1996). https://doi.org/10.1007/BF02648364

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02648364

Keywords

Navigation