Abstract: The present invention provides a methods and system for producing semiconductor grade single crystals that are substantially free of undesirable agglomerated defects. A vacancy/interstial (V/I) boundary simulator analyzes various melt-solid interface shapes to predict a corresponding V/I transition curve for each of the various melt-solid interface shapes. A target melt-solid interface shape corresponding to a substantially flat V/I curve is identified for each of a plurality of axial positions along the length of the crystal. Target operating parameters to achieve each of the identified melt-solid interface shapes are stored in a melt-solid interfaced shape profile. A control system is responsive to the stored profile to generate one or more control signals to control one or more output devices such that the melt-solid interfaced shape substantially follows the target shapes as defined by the profile during crystal growth.