Abstract
The time-dependent equation of Burton, Cabrera and Frank (BCF) is solved analytically for time-dependent bulk supersaturation tending exponentially to a constant value. As a result, the expression for the transient surface supersaturation is found. Special attention is focused on the particular case of the solution presented, corresponding to an abrupt change in bulk supersaturation from σ o to another constant value σ 1. It is shown that, in this particular case, the solution of the time-dependent BCF equation can be approximated by a simple expression which is accurate for large distances from the step edge. The study of the transient behaviour of surface supersaturation reveals that the time necessary to attain the steady-state value of the surface supersaturation does not depend on the difference between the values σ o and σ 1 of the bulk supersaturation. This time is proportional to the relaxation time for leaving the surface adsorption layer, and increases with increasing interstep distance.
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