Aa. Chernov et al., KINETIC SELF-STABILIZATION OF A STEPPED INTERFACE - GROWTH INTO A SUPERCOOLED MELT, Journal of crystal growth, 149(1-2), 1995, pp. 120-130
We investigate the effect of anisotropic kinetics on the morphological
stability of a pure material growing at constant velocity into a supe
rcooled melt. The kinetic anisotropy is based on the motion of element
ary seeps and the stability of a planar interface with respect to the
formation of macrosteps or step bunching is considered. Kinetic anisot
ropy and capillarity stabilize the interface, while the temperature gr
adient in the melt is destabilizing. Linear stability calculations for
dislocation and nucleation controlled growth of salol indicate that a
nisotropic kinetics provides stabilization for sufficiently low growth
velocities for crystals of practical dimensions. Although the critica
l crystal size depends on the growth velocity, for materials like salo
l, instability may occur for dimensions larger than tens of centimeter
s, while for materials like germanium the critical size is less than a
centimeter.