Sizes of crystallites as a function of cooling rate

A.S. Bakin, V.N. Romanenko, J. Schilz, G.V. Nikitina, and D.I. Ivanov

The effective function model of phase transitions (1) has been applied to the process of crystallisation of the segregating solid solutions Pbl_xSn_xTe and Ge_{l x}Si_x in order to determine the values of the maximum sizes of crystallites and the effective diffusion coefficients for the liquid phase.

The model has already been checked in a number of investigations (2) and the references herein), but verification of the maximum possible size of a crystallite Lmjx for a binary system that undergoes a certain rate of temperature drop w is still lacking. The theory obtains the simple relation (3):

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