GSMAC-FEM Analysis of Single-Crystal Growth by CUSP MCZ Method

  • Jung, Chung-Hyo (Faculty of Science and Technology, Keio University) ;
  • Takahiko Tanahashi (Faculty of Science and Technology, Keio University) ;
  • Yuji Ogawa (Keyence Corporation, 1-3-14, Higashinakazima, Higashiyodokawa-ku)
  • 발행 : 2001.12.01

초록

We present the numerical analysis of the growth of a silicon (Si) single crystal. In the MCZ (Magnetic-field-applied Czochralski) method, two magnetic fields that stand opposite to each other generate a cusp magnetic field. In this work, the three cusp magnetic fields used for the analysis are an extern magnetic field, a surface magnetic field and an internal magnetic field. Each case was evaluated mainly as to the degree of stirring, shaft symmetry and the stability of the flow. As a result, the cusp magnetic field that yielded to best conditions was the internal magneic field.

키워드

참고문헌

  1. Dold, P., et al, 2001, 'Floating Zone Growth of Silicon in Magnetic Fields: IV. Rotating Magnetic Fields,' J. Crystal Growth, Vol. 231, pp. 95 -106 https://doi.org/10.1016/S0022-0248(01)01491-9
  2. Evstratov, I. Yu., et al, 2001, 'Modeling Analysis of Unsteady Three-Dimensional Turbulent Melt Flow during Czochralski Growth of Si Crystals,' J. Crystal Growth, Vol. 230, pp. 22-29 https://doi.org/10.1016/S0022-0248(01)01314-8
  3. Kakimoto, K., Eguchi, M. and Owe, H., 1997, 'Use of an lnhomogeneous Magnetic Field for Silicon Crystal Growth,' J. Crystal Growth, Vol. 180, pp. 442-449 https://doi.org/10.1016/S0022-0248(97)00239-X
  4. Lan, C. W., Chian, J. H., 2001, 'Three -Dimensional Simulation of Marangoni Flow and Interfaces in Floating-Zone Silicon Crystal Growth,' J. Crystal Growth, Vol. 230, pp. 172-180 https://doi.org/10.1016/S0022-0248(01)01328-8
  5. Lee, Y. -B., Chun, Ch. -H., 1997, 'Experiments on the Oscillatory Convection of Low Prandtl Number Liquid in Czochralski Configuration for Crystal Growth with Cusp Magnetic Field,' J. Crystal Growth, Vol. 180, pp. 477-486 https://doi.org/10.1016/S0022-0248(97)00292-3
  6. Raming, G., Muhlbauer, A. and Muhlbauer, A., 2001, 'Numerical Investigation of the Influence of EM-Fields on Fluid Motion and Resistivity Distribution during Floating-Zone Growth of Large Silicon Single Crystal,' J. Crystal Growth, Vol. 230, pp. 108-117 https://doi.org/10.1016/S0022-0248(01)01323-9
  7. Tsuboi, H., Tanaka, M., Kobayashi, F. and Misaki, T., 1993, 'Three-Dimensional Eddy Current Analysis of Induction Melting in Cold Crucibles,' IEEE Transactions on Magnetics, Vol. 29-2, pp. 1574 -1577 https://doi.org/10.1109/20.250705
  8. Yizman, D., Friedrich, J. and MUller, G., 2001, 'Comparison of the Predictions from 3D Numerical Simulation with Temperature Distributions Measured in Si Cwchralski Melts under the Influence of Different Magnetic Fields,' J. Crystal Growth, Vol. 230, pp. 73-80 https://doi.org/10.1016/S0022-0248(01)01347-1
  9. Watanabe, M., Eguchi, M. and Hibiya, T., 1998, 'Flow and Temperature Field in Molten Silicon during Czochralski Crystal Growth in a Cusp Magnetic Field,' J. Crystal Growth, Vol. 193, pp. 402-412 https://doi.org/10.1016/S0022-0248(98)00529-6
  10. Wetzel, Th., et al, 2001, 'Numerical Model of Turbulent CZ Melt Flow in the Presence of AC and CUSP Magnetic Fields and its Verification in Laboratory Facility,' J. Crystal Growth, Vol. 230, pp. 81-91 https://doi.org/10.1016/S0022-0248(01)01316-1