Effects of furnace temperature profile on the interface shape during Bridgman crystal growth

The effects of asymmetry in furnace temperature profile and pulling velocity on the crystal interface shape are demonstrated while neglecting the latent heat of solidification. It is concluded that the furnace temperature profile may be varied in order to influence the interface shape of the crystal. An exact thermal analysis is performed on the Bridgman technique by including the latent heat of solidification as a source term. The exact temperature field is obtained for the case of a flat melt-crystal interface. The earlier observation regarding the influence of furnace temperature profile on the crystal interface shape is confirmed and a criterion for a flat crystal interface is obtained. Various furnace temperature profiles are selected and their corresponding results are presented.