Diffusion theory for crystal growth at arbitrary solute concentration
- 15 December 1975
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 63 (12) , 5131-5138
- https://doi.org/10.1063/1.431321
Abstract
The influence of the solute concentration upon the kinetics of crystal growth is studied for various cases with equilibrium and nonequilibrium boundary conditions, constant cooling rate, and temperature‐dependent diffusion coefficient. A perturbation expansion is used to calculate first‐order corrections in the low concentration region. Complete numerical solutions for nonequilibrium crystal–liquid interface conditions are obtained by a finite difference method. The influence of the various parameters upon the time‐dependent growth rates is discussed.Keywords
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