Journal of the Japanese Association for Crystal Growth
Online ISSN : 2187-8366
Print ISSN : 0385-6275
ISSN-L : 0385-6275
Optimization Method Determining Growth Parameters for the Crystal Growth from Ionic Melt(<Special Issue>Mass and Heat Transfer during Crystal Growth)
Satoshi UdaKiyoshi ShimamuraTsuguo Fukuda
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1997 Volume 24 Issue 3 Pages 317-327

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Abstract
Partitioning of the ionic LiNb0_3 melt species is significantly influenced by the interface electric field, which is intrinsically arisen during crystal growth. Since the electric field is a function of growth parameters such as solute boundary layer thickness, δ_c, growth velocity, V and temperature gradient, G_L, we introduce the dynamic congruent melt composition which leads to a growth with an almost constant composition and very little amount of uncoupled ionic species contained in the crystal. Thus, combinations of δ_c(g), V(g) and G_L(g) were calculated as a function of solidified melt fraction, g, by using a nonlinear programming technique "polytope method" for the crystal growth from the dynamic congruent melt. The "polytope method" is instinctively simple and useful for crystal growth-related optimization problems. The micro-pulling down technique is likely to be the most suitable growth method which can meet the calculated growth conditions.
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© 1997 The Japanese Association for Crystal Growth
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