Two-dimensional nucleation in crystal growth: thermodynamically consistent description of the nucleation work

被引:10
作者
Kashchiev, D [1 ]
机构
[1] Bulgarian Acad Sci, Inst Phys Chem, BU-1113 Sofia, Bulgaria
关键词
growth models; growth rate; nucleation; surface processes;
D O I
10.1016/j.jcrysgro.2004.03.070
中图分类号
O7 [晶体学];
学科分类号
0702 ; 070205 ; 0703 ; 080501 ;
摘要
In the scope of Gibbs's theory of capillarity, a thermodynamically consistent formula is derived for the work W to form a two-dimensional (2D) nucleus on a growing molecularly smooth crystal face. The derivation is based on a newly introduced dividing line (DL) called conservative, because it defines the nucleus as having size-independent specific line energy KO. The thermodynamically consistent formula for W accounts for the annulment of the nucleation work at the spinodal of the adsorption monolayer on the crystal face. Expressions are given for the radii R-C and R-T of the 2D nucleus defined by the conservative DL and by the line of tension, respectively. As a side result, the RT dependence of the specific line energy kappa(T) of the 2D nucleus defined by the line of tension is determined. Provided the inequality kappa(T) less than or equal to KO is satisfied, the analysis is valid for 2D nuclei of any size, i.e. for 2D nucleation in the entire range of conditions between the binodal and the adsorption spinodal. It is found that, due to the annulment of W at this spinodal, the rates of 2D nucleation and of nucleation-mediated crystal growth are higher than those determined by using the classical nucleation theory. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:685 / 702
页数:18
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