Distribution of composition across the interface in binary alloys

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Abstract

For one-dimensional case of binary substitution alloys, the parameters of the diffuse interface and the distribution of the composition within it are calculated using the thermodynamic approach. It is shown that the estimate of the equilibrium solubility limits in the quasi-regular solution model coincides with the results of the Gibbs construction and the results obtained using the Cahn–Hilliard approach. It is found that the interface width weakly depends on the chosen approximation. A strong dependence on the employed approximation is characteristic of the equilibrium solubility limits. It is also demonstrated that approaches that are different from the quasi-regular solution model lead to a violation of Maxwell’s equal area rule. It is shown that the parameters determining the shape of the distribution curve of the composition along the interface have substantially different behavior within the quasi-regular solution model and in the case of regular calculations.

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V. L. Gapontsev

Russian State Professional and Pedagogical University

Author for correspondence.
Email: vlgap@mail.ru
Russian Federation, Ekaterinburg, 620143

A. V. Gapontsev

M.N. Miheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

Email: vlgap@mail.ru
Russian Federation, Ekaterinburg, 620108

V. V. Gapontsev

M.N. Miheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

Email: vlgap@mail.ru
Russian Federation, Ekaterinburg, 620108

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2. Fig. 1. At the top is the graph of the potential function for the equilibrium distribution of the composition; at the bottom is the distribution of the composition (μL = μе), U(c1) = U(c2) along the normal to the interphase boundary c(x).

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3. Fig. 2. Distribution of composition along the normal to the interphase boundary.

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4. Fig. 3. Dependence of the difference Δμ = μe − of the equilibrium values ​​of chemical potentials calculated for the general case (7) and in the model of a quasi-regular solution (9), on the ratio EB /EA at a constant EA = 54 124 J/mol.

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5. Fig. 4. Dependence of the equilibrium solubility limit of component A on the EB/EA ratio. Curve a is the calculation in the quasi-regular solution model (9), curve b is the calculation according to equation (7).

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6. Fig. 5. Dependence of the width of the interphase boundary H on the ratio EB /EA. Curve a is the calculation in the model of a quasi-regular solution (9), curve b is the calculation according to equation (7).

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7. Fig. 6. Dependence of the position of the inflection point of the CA(x) profile on the EB /EA ratio. Curve a is the calculation in the quasi-regular solution model (9), curve b is the calculation according to equation (7).

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8. Fig. 7. Dependence of the degree of deformation of the interphase boundary As on the ratio EB / EA. Curve a is the calculation in the quasi-regular solution model (9), curve b is the calculation according to equation (7).

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