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.