Calculations of fluid-ternary solid solution equilibria; an application of the Wilson equation to fluid-(Fe, Mn, Mg)TiO ₃ equilibria at 600 degrees C and 1 kbar

Hyogo University of Teacher Education, Geoscience Institute, Hyogo, Japan

The Wilson equation (Wilson 1964) is applied to (Fe,Mn,Mg)TiO ₃ solid solutions for obtaining the mixing properties of the ternary solid solution at 600 degrees C and 1 kbar. The present study utilizes data on cation exchange between (Fe,Mn)Cl (sub 2(aq)) and (Fe,Mn)TiO ₃ , between (Mn,Mg)Cl (sub 2(aq)) and (Mn,Mg)TiO ₃ , and between (Fe,Mg)Cl (sub 2(aq)) and (Fe,Mg)TiO ₃ (Kubo et al. 1992). The molar excess Gibbs energy (G ^ex ) is the following: G ^ex (kJ/mol) = -7.260[X _FeTiO3 ln(X _FeTiO3 + 1.314X _MnTiO3 + 0.962X _MgTiO3 ) + X _MnTiO3 ln(0.585X _FeTiO3 + X _MnTiO3 + 0.393X _MgTiO3 ) + X _MgTiO3 ln(0.406X _FeTiO3 + 0.371X _MnTiO3 + X _MgTiO3 )], where X stands for the mole fraction of the subscripted component. The predicted compositions of (Fe,Mn,Mg)Cl (sub 2(aq)) fluids in equilibrium with the ternary solid solutions are in good agreement with the experimental values.

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