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Size effect in the theory of ordered solid solutions

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Abstract

The method of calculating the energy of elastic deformation of crystalline lattice, proposed by Pines, is modified by taking into account the dependence of the size of atoms on their specific neighborhood in the first coordination sphere, in order to apply it to the theory of ordered solid solutions with superstructures B2 (CuZn alloy), and L12 (AuCu3 alloy). The calculations were made of the dependences of atomic radiuses of the alloys' components, of mean interatomic spacing, and of energy of elastic deformation of the crystalline lattice, on the degree of the long-distance order. That dependence agrees quite well with the known experimental data. The calculation indicates that the energy of elastic deformation of the crystalline lattice facilitates the establishment of the long-distance order in the CuZn and AuCu3 alloys.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 79–87, 1972.

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Kozlov, É.V., Ginzburg, E.A. & Popov, L.E. Size effect in the theory of ordered solid solutions. Soviet Physics Journal 15, 1451–1457 (1972). https://doi.org/10.1007/BF00892093

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  • DOI: https://doi.org/10.1007/BF00892093

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