Thermodynamics of the phase equilibrium of multicomponent solid solutions containing nano-sized precipitates of the second phase

Based on the theory of regular solutions, the interphase boundary model for the case of an arbitrary number of components is developed. General relations for the calculation of the phase composition of multicomponent solutions containing nano-sized precipitates of the second phase are derived. By the example of binary and ternary solutions, it is shown that a considerable mutual enrichment of the conjugated phases by atoms of components dissolved in them occurs in the case if precipitates of the second phase are characterized by the sizes of the order of several nanometers.