Method for simulating the shape of the solid-liquid interface between a single crystal and a molten liquid, and the distribution of point defects of the single crystal

摘要

A first step models a hot zone in a pulling apparatus of a single crystal as a mesh structure, and a second step inputs physical property values of each member corresponding to meshes combined for each member of the hot zone into a computer. A third step obtains the surface temperature distribution of each member on the basis of the calorific power of a heater and the emissivity of each member, and a fourth step obtains the internal temperature distribution of each member on the basis of the surface temperature distribution and the thermal conductivity of each member, and then further obtains the internal temperature distribution of a molten liquid being in consideration of convection. A fifth step obtains the shape of the solid-liquid interface between the single crystal and the molten liquid in accordance with an isothermal line including a tri-junction of the single crystal. A sixth step repeats said third to fifth steps until the tri-junction becomes the melting point of the single crystal. The invention aims at making the computation result and an actual measurement result of the shape of the solid-liquid interface between a single crystal and a molten liquid coincide very well with each other.