The lattice model of liquids was applied to molten iron containing some kinds of foreign elements. The theoretical expressions for chemical potentials and activity coefficients were derived, making use of an approximational method analogous to that of Bragg-Williams for the case of binary alloys.
The results are as follows;
1) If three absolute elements (1, 2and 3) are all interstitials, the activity coefficient
f that denotes the extent of deviation from Herry's law which is valid for dilute solutions is given by for the first solute element, where c
i is the concentration of the i'th element, φ
ij the interaction potential between the i'th and j'th solute elements. The validity of this expression is examined by using the numerical data for Fe-O-C system.
2) If three elements (B, C and D) are all substitutional in the solvent (A), the activity coefficient γ that denotes the extent of deviation from Raoult's law for the ideal solution is given by for any one (say D) of the four elements, where n
i is the molar fraction of the i's element, Ω
AB, for example, the enthalpy change in the reaction A+B=AB. The validity of this expression is examined by the data for Fe-Si-Cu system.
3) If elements A
1 and A
2 are substitutional and elements B
1 and B
2 interstitial, the chemical potential of B
2 is given by and that of substitutional A
2 by where in the two-letter suffix to φ' the first letter denotes the kind of substitutional element and the second the kind of interstitial element. Further, F
A2 denotes molar free energy of pure A
2, and φ' the interaction potential between A and B, and φ" that between substitutional elements. The validity bf this expression is examined by using the data for Fe-Si-C system.
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