Derivation and consistency of the partial functions of the ternary system involving interaction coefficients |
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Authors: | J P Hajra S Ravindra Reddy M G Frohberg |
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Affiliation: | (1) Department of Metallurgy, Indian Institute of Science, 560 012 Bangalore, India;(2) Department of Chemical and Metallurgical Engineering, MacKay School of Mines, University of Nevada, 89557 Reno, NV;(3) Institute for Metallurgy, Technical University Berlin, D10719 Berlin 15, Germany |
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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.
S. RAVINDRA REDDY formerly Undergraduate Student, Department of Metallurgy, Indian Institute of Science. |
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