A visco-plastic model was used to study dislocation evolution during high-pressure Czochralski growth of InP single crystals. A computational fluid dynamics code was used which had the capability of predicting the thermal field history in a Czochralski furnace throughout growth. The thermal loading history thus determined was then fed to another code and the visco-plastic constitutive equations were integrated while maintaining force equilibrium in the growing crystal. The combined model predicted the final dislocation densities in the crystal at the end of the growth period. This was then used to study and predict the effect of various parameters and phenomena upon the final dislocation densities. The effects included thermal shock, gas convection, thickness of encapsulant, thermal radiation, melt convection and cooling period. Gas convection was found to have the most significant effect upon the dislocation densities.
Modelling Dislocation Generation in High Pressure Czochralski Growth of InP Single Crystals – II. S.Pendurti, V.Prasad, H.Zhang: Modelling and Simulation in Materials Science and Engineering, 2005, 13[2], 267-97