On the accuracy of analytical models of impurity segregation during directional melt crystallization and their applicability for quantitative calculations

被引:7
作者
Voloshin, A. E. [1 ]
Prostomolotov, A. I. [2 ]
Verezub, N. A. [2 ]
机构
[1] Russian Acad Sci, Shubnikov Inst Crystallog, Leninskii Prosp 59, Moscow 119333, Russia
[2] Russian Acad Sci, Ishlinsky Inst Problems Mech, Prospekt Vernadskogo 101-1, Moscow 119526, Russia
基金
俄罗斯科学基金会;
关键词
Convection; Directional solidification; Segregation; Growth from melt; Gallium antimonide; HORIZONTAL BRIDGMAN CONFIGURATION; BOUNDARY-LAYER THICKNESS; SOLUTE SEGREGATION; CRYSTAL-GROWTH; RADIAL SEGREGATION; NATURAL-CONVECTION; COEFFICIENT; INTERFACE; TRANSIENT; SOLIDIFICATION;
D O I
10.1016/j.jcrysgro.2016.08.003
中图分类号
O7 [晶体学];
学科分类号
0702 ; 070205 ; 0703 ; 080501 ;
摘要
The paper deals with the analysis of the accuracy of some one-dimensional (1D) analytical models of the axial distribution of impurities in the crystal grown from a melt. The models proposed by Burton-Prim-Slichter, Ostrogorsky-Muller and Garandet with co-authors are considered, these models are compared to the results of a two-dimensional (2D) numerical simulation. Stationary solutions as well as solutions for the initial transient regime obtained using these models are considered. The sources of errors are analyzed, a conclusion is made about the applicability of 1D analytical models for quantitative estimates of impurity incorporation into the crystal sample as well as for the solution of the inverse problems. (C) 2016 Elsevier B.V. All rights reserved.
引用
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页码:188 / 197
页数:10
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