Oxygen precipitates at various grain boundaries in crystalline silicon
, formed after prolonged high temperature annealing, grow within a nar
row size distribution. This narrow size distribution appears to depend
on the specific grain boundary. On the basis of this observation a mo
del is derived which is based on the energy balance between grain boun
dary energy, Si/SiO2 interface energy, and an additional term describi
ng the energy of the ledges of the faceted precipitates. This model pr
edicts an energy minimum for a defined size of the precipitates. (C) 1
997 American Institute of Physics.