Talanin V.I., Talanin I.E., Voronin A.A. About the simulation of primary grown-in micro-defects in dislocation-free silicon single crystals formation // Canadian Journal of Physics. – 2007. – Vol. 85, № 12. – Р. 1459-1471.

A mathematical model of primary grown-in microdefects formation is proposed. The model is built on the basis of the dissociative process of diffusion. Here, we study the interaction patterns between oxygen-vacancy (O + V) and carbon-interstitial (C + I) near the crystallization front in dislocation-free silicon monocrystals grown by float-zone and Czochralski methods. As shown here, the approximate analysis formulas obtained tally with the heterogeneous mechanism of grown-in microdefects formation.