Numerical study of the crystallization of pure material from solution with impurity

The self-consistent model of crystallization of alloy with impurity in the cylindrical ampule was considered. The mathematical model accounts for the diffusion heat and matter transport in both solid and liquid phases, the movement of the crystallization front and heat exchange with the environment. The proposed model was used for numerical simulation for $\mathrm{Si}$ crystals growth $\mathrm{Si}$–$\mathrm{Al}$ melts with impurities boron $\mathrm{B}$ or phosphorus $\mathrm{P}$.