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Derivation and consistency of the partial functions of the ternary system involving interaction coefficients

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Abstract

The logarithm of activity coefficients of the components of the ternary system is derived based on the Maclaurin infinite series, which is expressed in terms of the integral property of the system and subjected to appropriate boundary conditions. The derivation of the functions involves extensive summation of various infinite series pertaining to the first-order interaction coefficients that have been shown completely to remove any truncational error. Since the conventional equations involving interaction coefficients are internally inconsistent, a consistent form of the partial functions is developed in the article using the technique just described. The thermodynamic consistency of the functions based on the Maxwell and the Gibbs-Duhem relations has been established. The derived values of the logarithmic activity coefficients of the components have been found to be in agreement with the thermodynamic data of the Fe-Cr-Ni system at 1873 K and have been found to be independent of the compositional paths.

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Authors and Affiliations

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

    J. P. Hajra (Professor)

  2. Department of Chemical and Metallurgical Engineering, MacKay School of Mines, University of Nevada, 89557, Reno, NV

    S. Ravindra Reddy (Graduate Student)

  3. Institute for Metallurgy, Technical University Berlin, D10719, Berlin 15, Germany

    M. G. Frohberg (Professor of Metallurgy)

Authors
  1. J. P. Hajra
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  2. S. Ravindra Reddy
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  3. M. G. Frohberg
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Additional information

S. RAVINDRA REDDY formerly Undergraduate Student, Department of Metallurgy, Indian Institute of Science.

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Hajra, J.P., Reddy, S.R. & Frohberg, M.G. Derivation and consistency of the partial functions of the ternary system involving interaction coefficients. Metall Mater Trans B 26, 495–502 (1995). https://doi.org/10.1007/BF02653865

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