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Abstract
The time-dependent equation of Burton, Cabrera and Frank (BCF) is analytically solved for transient-state growth conditions occurring immediately after submersion of crystal face in supersaturated solution. The time-dependent BCF model is also solved using the transmission-line matrix (TLM) numerical method. We find that the time necessary to attain the steady-state value of surface supersaturation does not depend on bulk supersaturation but increases with increasing interstep distance. Calculated results obtained by the two methods are shown to be in excellent agreement, indicating a promising potential of the TLM method for solving analytically intractable problems of interest.
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