Abstract
A new thermodynamic model for ternary solid solutions has been derived from the statistical mechanics using a Bragg-Williams approximation. In the model, interaction energy among three closest neighbours (triplet) is considered instead of that between two closest neighbours (pair). According to the model, the excess molar Gibbs energy of mixing can be expressed as follows:Gex=XAXB(XAWAAB+XBWABB)+XBXC(XBWBBC+XCWBCC)+XCXA(XCWCCA+XAWCAA)+2XAXBXCWABC, where Xi denotes a mole fraction of i component and Wijk is an interaction parameter. This model has the consistent interaction parameters (WAAB, WABB, WBBC, WBCC, WCCA, WCAA) with those for the Margules-type asymmetric binary solution model, and gives them physical meanings. The model can be extended to the n component systems. Supposing interactions among r closest neighbours, the number of interaction parameters (Nw) for the model is expressed as
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