Abstract
A ternary function has been developed based on the Maclaurin infinite series, which is expressed in the neighborhood of each of the pure components of the system. Each of the series is subjected to various boundary conditions. The ternary function is based on the summation of these series. In the process of converting the terms of these infinite series to the corresponding infinite dilution constants and interaction parameters, the ternary function also distinguishes between the binary and ternary interaction parameters of the system. The truncation of the infinite series pertaining to the binary and ternary interaction terms is adjusted by a suitable technique which is described in the text. The function is thermodynamically consistent and capable of interpreting properties of the ternary system.
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References
C. Wagner:Thermodynamics of Alloys, Addison-Wesley Publishing Co., Inc., Cambridge, MA, 1952, pp. 47–53.
C.H.P. Lupis and J.F. Elliot:Acta Metall., 1966, vol. 14, p. 529; C.H.P. Lupis:Chemical Thermodynamics of Materials, North-Holland Publishing Co., Amsterdam, 1983, p. 235.
R. Schuhmann, Jr.:Metall. Trans. B, 1985, vol. 16B, pp. 807–13.
A.D. Pelton and C.W. Bale:Metall. Trans. A, 1986, vol. 17A, pp. 1211–15.
L.S. Darken:Trans. TMS-AIME, 1967, vol. 239, pp. 80–89.
L.S. Darken:Trans. TMS-AIME, 1967, vol. 239, pp. 90–96.
S. Srikanth and K.T. Jacob:Metall. Trans. B, 1988, vol. 19B, pp. 269–275.
H. Schenck and E. Steinmetz:Wirkungsparameter von Begleitelementen fliissiger Eisenlösungen und ihre gegenseitigen Beziehungen, Verlag Stahleisen mbH, Diisseldorf, 1966.
G.K. Sigworth and J.F. Elliott:Can. Metall. Q., 1971, vol. 13, pp. 455–61.
G.K. Sigworth and J.F. Elliott:Met. Sci., 1974, vol. 8, pp. 298–310.
G.K. Sigworth, J.F. Elliott, G. Vaughan, and G.H. Geiger:Trans. TMS-CIM, 1977, pp. 104-10.
G.K. Sigworth and J.F. Elliott:Can. Metall. Q., 1976, vol. 15, pp. 123–27.
J.P. Hajra and M.G. Frohberg:Steel Res., 1989, vol. 60 (1), pp. 479–84.
J.P. Hajra and B. Majumder:Metall. Trans. B, 1991, vol. 22B, pp. 593–605.
S.W. Gilby and G.R. St. Pierre:TMS-AIME, 1969, vol. 245, pp. 1749–58.
R. Hultgren, P.D. Desai, D.T. Hawkins, M. Gleiser, and K. Kelley:Selected Values of Thermodynamic Properties of Binary Alloys, ASM, Metals Park, OH, 1973.
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Hajra, J.P. Representation of excess thermodynamic properties of ternary systems using interaction parameters. Metall Trans B 22, 583–591 (1991). https://doi.org/10.1007/BF02679013
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DOI: https://doi.org/10.1007/BF02679013