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Integral treatment for the representation of thermodynamic properties in multicomponent systems using interaction parameters

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Abstract

The partial thermodynamic functions of the solvent component of a ternary system have been deduced in terms of the interaction parameters by integration of several series which emerge from the Maclaurin infinite series based on the integral property of the system and subjected to appropriate boundary conditions. The series integration shows that the resulting partial functions are suitable for interpreting the thermodynamic properties of the system and are independent of compositional paths. In the present analysis, the higher order terms of these series are found to make insignificant contributions.

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References

  1. J.P. Hajra and M.G. Frohberg:Steel Res., 1989, vol. 11, pp. 479–84.

    Google Scholar 

  2. C.W. Bale and A.D. Pelton:Metall. Trans. A, 1990, vol. 21A, pp. 1997–2002.

    CAS  Google Scholar 

  3. C. Wagner:Thermodynamics of Alloys, Addison Wesley Press, Cambridge, MA, 1952, pp. 47–53.

    Google Scholar 

  4. C.H.P. Lupis and J.F. Elliott:Acta Metall., 1966, vol. 14, pp. 529–38; C.H.P. Lupis:Chemical Thermodynamics of Materials, North-Holland, Amsterdam, 1983, pp. 236–62.

    Article  CAS  Google Scholar 

  5. R. Shuhmann, Jr.:Metall. Trans. B, 1985, vol. 16B, pp. 807–13.

    Google Scholar 

  6. L.S. Darken:Trans. TMS-AIME, 1967, vol. 239, pp. 80–89.

    CAS  Google Scholar 

  7. L.S. Darken:Trans. TMS-AIME, 1967, vol. 239, pp. 90–96.

    CAS  Google Scholar 

  8. A.D. Pelton and C.W. Bale:Metall. Trans. A, 1986, vol. 17A, pp. 1211–15.

    CAS  Google Scholar 

  9. S. Srikanth and K.T. Jacob:Metall. Trans. B, 1988, vol. 19B, pp. 269–75.

    CAS  Google Scholar 

  10. H. Schenck and E. Steinmetz:Wirkungsparameter von Begleitelementen flüssiger Eisenlösungen und ihre gegenseitigen Beziehungen, Verlag Stahleisen mbH, Düsseldorf, 1966.

    Google Scholar 

  11. G.K. Sigworth and J.F. Elliott:Met. Sci., 1974, vol. 8, pp. 298–310.

    CAS  Google Scholar 

  12. G.K. Sigworth and J.F. Elliott:Can. Metall. Q., 1971, vol. 13, pp. 455–61.

    Google Scholar 

  13. G.K. Sigworth, J.F. Elliott, G. Vaughan, and G.H. Geiger: Trans. TMS-CIM, 1977, pp. 104–10.

  14. G.K. Sigworth and J.F. Elliott:Can. Metall. Q., 1976, vol. 15, pp. 123–27.

    CAS  Google Scholar 

  15. S.W. Gilby and G.R. St. Pierre:Trans. TMS-AIME, 1969, vol. 245, pp. 1749–58.

    CAS  Google Scholar 

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Authors and Affiliations

  1. Department of Metallurgy, Indian Institute of Science, 560 012, Bangalore, India

    Jnan P. Hajra (Associate Professor)

  2. Institute for Metallurgy-General Metallurgy, Technical University Berlin, Joachimstaler Straße 31/32, D-1000, Berlin 15

    Martin G. Frohberg (Professor of Metallurgy)

Authors
  1. Jnan P. Hajra
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  2. Martin G. Frohberg
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Formerly Visiting Professor, Technical University Berlin

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Hajra, J.P., Frohberg, M.G. Integral treatment for the representation of thermodynamic properties in multicomponent systems using interaction parameters. Metall Trans B 23, 23–28 (1992). https://doi.org/10.1007/BF02654032

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  • DOI: https://doi.org/10.1007/BF02654032

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