ABSTRACT
This chapter focuses on pattern formation during dendrite, cellular and eutectic solidification. Regular structures form in a number of solidification processes. Lamellar or rodlike structures can be produced in eutectics. As a lamellar eutectic grows, different amounts of solute are deposited in the two solid phases. At steady state, concentration gradients build up to transport the solute across the lamella. Faceted cellular growth is one of the problems associated with the growth of thin-film silicon. To model non-faceted cellular growth, a smooth steady-state interface shape is needed which satisfies curvature undercooling, solute and heat flow at all points on the interface. The maximum spacing for cells can be treated by examining the time-dependent growth of a single cell. It is found that the maximum stable spacing for cells is close to the maximum steady-state spacing.
