Some aspects of multicomponent excess free energy models with subregular binaries

Weiji Cheng, Jibamitra Ganguly

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


We have shown that two of the most commonly used multicomponent formulations of excess Gibbs free energy of mixing, those by Wohl (1946, 1953) and Redlich and Kister (1948), are formally equivalent if the binaries are constrained to have subregular properties, and also that other subregular multicomponent formulations developed in the mineralogical and geochemical literature are equivalent to, or higher order extensions of, these formulations. We have also presented a compact derivation of a multicomponent subregular solution leading to the same expression as derived by Helffrich and Wood (1989). It is shown that Wohl's multicomponent formulation involves combination of binary excess free energies, which are calculated at compositions obtained by normal projection of the multicomponent composition onto the bounding binary joins, and is, thus, equivalent to the formulation developed by Muggianu et al. (1975). Finally, following the lead of Hillert (1980), we have explored the limiting behavior of regular and subregular ternary solutions when a pair of components become energetically equivalent, and have, thus, derived an expression for calculating the ternary interaction parameter in a ternary solution from a knowledge of the properties of the bounding binaries, when one of these binaries is nearly ideal.

Original languageEnglish (US)
Pages (from-to)3763-3767
Number of pages5
JournalGeochimica et Cosmochimica Acta
Issue number18
StatePublished - Sep 1994

ASJC Scopus subject areas

  • Geochemistry and Petrology


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