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

Hajra, JP and Reddy, Ravindra S and Frohberg, MG (1995) Derivation and consistency of the partial functions of the ternary system involving interaction coefficients. In: Metallurgical and Materials Transactions B, 26 (3). pp. 495-502.

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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.

Item Type: Journal Article
Publication: Metallurgical and Materials Transactions B
Publisher: The Minerals, Metals & Materials Society
Additional Information: Copyright of this article belongs to The Minerals, Metals & Materials Society.
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 15 Jun 2011 08:58
Last Modified: 15 Jun 2011 08:58
URI: http://eprints.iisc.ac.in/id/eprint/37526

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