The integral molar excess Gibbs energy of a multicomponent system is expressed in terms of interaction parameters, from which the analytical formulae of the activity coefficients of the solutes and solvent, as Eqs.[23] and [24], were deduced. This approach, named the approach, is able to describe quantitatively the thermodynamic properties of multicomponent systems. It features thermodynamic consistency, high accuracy, and a rather small influence of the higher-interaction parameters on the thermodynamic properties of metallic solutions. A simple modification to the first-order interaction parameters extends the approach, to be applicable to systems with strong interactions between components at both low and concentrated levels.
l997) , With the help of thermodynamicsand kinetics, the oxide metallurgy with respect to Ti treatment of low carbon steels is theoretically analysed, It is attempted to define and predict the optimal conditions for deoxfdation of molten steel, which are decisive factors for controlling secondary inclusions, using the analysing methoddescribed below. Thecomposition and growth of oxides during solidification are obtained by calculation featuring a good agreement with reported experimental results, But the present analysing model needs to be further modified in view of deoxidation kinetics.
The solubility of C in Mn melts with different contents of Si and Fe at 1400 and 1500°C was determined. With these data the interaction coefficients eSiC, eFeC, eCC as well as γoC were evaluated. The standard free energy of solution of C in liquid Mn based on 1 wt.% solution standard at 1400 and 1500°C were calculated, respectively. The solubility of C in liquid Mn formulated in relation to temperature was made as to the conformability of the present results with those given in the literature.
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