To theory of crystallization of nanomodified alloy

On the basis of thermodynamic approach, a mathematical model of nucleation and growth of the solid phase on highly activated wettable nanoseeds is proposed. New expressions for the free energy of formation and the rate of nucleation of crystallization centers on ultradispersed seeds (nanoparticles) obtained in the model take into account the influence of dimensional and capillary effects. Numerical experiments were carried out for Al+Si alloy modified with titanium nitride nanoparticles TiN. The results of the calculations were compared with the experimental data. The study is of interest for constructing a macroscopic model and understanding the mechanisms of structure formation in the case of heterogeneous crystallization of metals and alloys.