influence of temperature dependence of electrical conductivity of graphite crucible in czochralski crystal growth: a numerical analysis

Graphite crucibles are widely used in induced crystal growth systems. this study examines the impact of temperature variation on the electrical conductivity of the graphite crucible and its influence on the temperature field and melt flow in a czochralski germanium crystal growth furnace using the two-dimensional finite element method. the in-depth analysis demonstrates that the temperature-dependence of electrical conductivity of the crucible is crucial in the growth process and the thermal field of the setup. specifically, it is noted that temperature changes have a significant effect on the generation and distribution of induction heat, the temperature and melt flow field, the complex shape of the crystal-melt interface, as well as the stress and dislocations in the grown crystal. these findings highlight the intricate relationship between temperature, crucible conductivity, and the dynamics of the crystal growth process, providing insight into the subtle factors that impact the quality and properties of the resulting crystal.