Transient numerical study of temperature gradients during sublimation growth of SiC: Dependence on apparatus design
- Geiser, Jürgen
- Klein, Olaf
- Philip, Peter
2010 Mathematics Subject Classification
- 80A20 80M25 76R50 65Z05 35K55
2008 Physics and Astronomy Classification Scheme
- 02.60.Cb 81.10.Bk 44.05.+e 47.27.Te
- Numerical simulation, SiC single crystal, Physical vapor transport, Heat transfer, Temperature gradients, Nonlinear parabolic PDE's
Using a transient mathematical heat transfer model including heat conduction, radiation, and radio frequency (RF) induction heating, we numerically investigate the time evolution of temperature gradients in axisymmetric growth apparatus during sublimation growth of silicon carbide (SiC) bulk single crystals by physical vapor transport (PVT) (modified Lely method). Temperature gradients on the growing crystal's surface can cause defects. Here, the evolution of these gradients is studied numerically during the heating process, varying the apparatus design, namely the amount of the source powder charge as well as the size of the upper blind hole used for cooling of the seed. Our results show that a smaller upper blind hole can reduce the temperature gradients on the surface of the seed crystal without reducing the surface temperature itself.
- J. Crystal Growth, 297 (2006) pp. 20-32.