Wilson Equation Applied to Ternary Ilmenite Solid Solution, (Fe,Mn,Mg)TiO3.
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概要
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Wilson equation is applied to the ternary ilmenite solid solution, (Fe, Mn, Mg) TiO<SUB>3</SUB>, for describing the excess molar Gibbs free energy of mixing (G<SUP>ex</SUP>). Non-linear programming technique is used to derive the parameters of the equation from the ilmenite-fluid equilibrium experiments at 600°C and 1000 kgf/cm<SUP>2</SUP> by Kubo et al. (1992). The excess molar Gibbs free energy of mixing for ilmenite is obtained as G<SUP>ex</SUP>=-873.15R{X<SUB>Fe</SUB> in (X<SUB>Fe</SUB>+1.056X<SUB>Mn</SUB>+ 0.878X<SUB>Mg</SUB>)+X<SUB>Mn</SUB> ln (0.704X<SUB>Fe</SUB>+X<SUB>Mn</SUB>+0.424X<SUB>MS</SUB>)+X<SUB>Mg</SUB> ln (0.450X<SUB>Fe</SUB>+0.326X<SUB>Mn</SUB>+X<SUB>Mg</SUB>)}, where X stands for the mole fraction of the subscript component (Fe as FeTiO<SUB>3</SUB>, Mn as MnTiO<SUB>3</SUB>, Mg as MgTiO<SUB>3</SUB>) and R denotes the gas constant. Fluid compo-sitions in equilirium with the ternary ilmenite solid solution are also obtained. The calculated results of the GeX values and the fluid compositions agree well with the experimental results, suggesting the usefulness of the Wilson equation.
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