Journal of Crystal Growth, Vol.220, No.3, 301-307, 2000
Theoretical investigation of crystal growth shaping process with the wetting boundary condition
A theoretical investigation of crystal growth shaping process (to elaborate crystals in the form of tubes or rods with different cross sections,and other complicated forms) is carried out on the basis of the dynamic stability concept. The capillary dynamic stability of shaped crystal growth from the melt is analyzed using a mathematical model based on the proposal of axisymmetry of crystal and setup geometry. The study is carried out for the different conditions of growth and various configurations of melt meniscus. We study shapers with complex geometry for which a wetting boundary condition has to be considered. A general method is proposed to design the shaper geometry that satisfies the capillary stability conditions of the melt meniscus during the whole crystal growth process. The static stability of the liquid-free surface is analyzed by means of the Jacobi equation.