Effective distribution coefficient in magnetic Czochralski growth

Abstract

The analysis by Burton, Prim and Slichter of the dependence of the effective distribution coefficient ( k eff) on growth and crystal rotation rates in Czochralski growth is extended to include the effect of an imposed steady axial magnetic field. The theory is based on the analysis of the hydromagnetic flow at a rotating disc due to Kakutani [J. Phys. Soc. Japan 17 (1962) 1496]. It is shown that k eff approaches unity as the field increases. The likely effects of this on the growth of silicon and gallium arsenide are discussed.