Influence of internal radiation on the heat transfer during growth of YAG single crystals by the Czochralski method by Z. Galazka, D. Schwabe, H. Wilke

Crystal Research and Technology

Cryst. Res. Technol. 38, 859 (2003) - Abstract -

Influence of internal radiation on the heat transfer during growth of YAG single crystals by the Czochralski method

Z. Galazka, D. Schwabe*, H. Wilke**

Institute of Electronic Materials Technology, 133 Wolczynska Str., 01-919 Warszawa, Poland
*University of Giessen, I.Physikalisches Institut, Heinrich-Buff-Ring 16, 35392 Giessen, Germany
**Institute of Crystal Growth, Max-Born-Str. 2, 12489 Berlin, Germany

Keywords	Czochralski method, convection, radiative heat transfer, interface shape, Y3Al5O12
PACS	81.10.Fq, 47.27.Te, 44.40.+a, 02.60.Cb, 02.70.Dh
DOI	10.1002/crat.200310104

Heat and mass transfer taking place during growth of Y₃Al₅O₁₂ (YAG) crystals by the Czochralski method, including inner radiation, is analyzed numerically using a Finite Element Method. For inner radiative heat transfer through the crystal the band approximation model and real transmission characteristics, measured from obtained crystals, are used. The results reveal significant differences in temperature and melt flow for YAG crystals doped with different dopands influencing the optical properties of the crystals. When radiative heat transport through the crystal is taken into account the melt-crystal interface shape is different from that when the radiative transport is not included. Its deflection remains constant over a wide range of crystal rotation rates until it finally rapidly changes in a narrow range of rotation rates.

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