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Effects of Rotation on Transport Processes During Crystal Growth By Solidification

  • C. W. Lan

Abstract

The control of heat flow, dopant segregation, and the shape of the growth interface is an important task in bulk crystal growth.1,2 A flat or slightly convex growth front is highly desired to minimize parasitic nucleation. Dopant uniformity, both radial and axial, is also a major concern. Therefore, better understanding of the melt flow and heat and mass transfer during crystal growth is important. In solidification the intrinsic coupling of transport processes to phenomena at the growth interface strongly influences crystal quality. For example, unstable flow can cause growth striations, sometimes even leading to periodic or chaotic back melting.

Keywords

Crystal Growth Centrifugal Force Normal Gravity Cadmium Zinc Telluride Interface Shape 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R.A. Brown, Theory of transport processes in single crystal growth from the melt, AIChE J. 34: 881 (1989).CrossRefGoogle Scholar
  2. 2.
    G. Müller and A. Ostrogorsky, Convection in melt growth, in: Handbook of Crystal Growth 2b: Growth Mechanisms and Dynamics, D.T.J. Hurle, ed., North-Holland, Amsterdam (1994).Google Scholar
  3. 3.
    H.P. Utech and M.C. Flemmings, Elimination of solute banding in indium antimonide crystals by growth in a magnetic Field, J. Appl. Phys. 37: 2021 (1966).CrossRefGoogle Scholar
  4. 4.
    K.M. Kim, Suppression of thermal convection by transverse magnetic field, J. Electrochem. Soc. 132: 427 (1982).CrossRefGoogle Scholar
  5. 5.
    D.H. Kim, P.M. Adornato, and R.A. Brown, Effect of vertical magnetic field on convection and segregation in vertical Bridgman crystal growth, J. Crystal Growth 89: 339 (1988).CrossRefGoogle Scholar
  6. 6.
    H.J. Scheel, Accelerated crucible rotation: a novel stirring technique in high- temperature solution growth, J. Crystal Growth 13/14: 560 (1971).CrossRefGoogle Scholar
  7. 7.
    A.V. Anilkumar, R.N. Grugel, R.N. Shen, and T.G. Wang, Control of thermocapillary convection in a liquid bridge by vibration, J. Appl. Phys. 73: 4165 (1993).CrossRefGoogle Scholar
  8. 8.
    D.V. Lyubimov, T.P. Lyubimova, S. Meradji, and B. Roux, Vibrational control of crystal growth from liquid phase, J. Crystal Growth 180: 648 (1997).CrossRefGoogle Scholar
  9. 9.
    W.S. Liu, M.F. Wolf, D. Elwell, and R.S. Feigelson, Low frequency vibrational stirring: a new method for radial mixing solutions and melts during growth, J. Crystal Growth 82: 589 (1987).CrossRefGoogle Scholar
  10. 10.
    W. Yuan, M. Banan, L.L. Regel, and W.R. Wilcox, The effect of vertical vibration of the ampoule on the direction solidification of InSb-GaSb alloy, J. Crystal Growth 151: 235(1995).CrossRefGoogle Scholar
  11. 11.
    V. Uspenskii and J.J. Favier, High frequency vibration and natural convection in Bridgman-scheme crystal growth, Int. J. Heat Mass Transfer 37: 691 (1994).CrossRefGoogle Scholar
  12. 12.
    C.W. Lan, Effects of axial vibration on vertical zone-melting processing, Int. J. Heat Mass Transfer 43: 1987 (2000).CrossRefGoogle Scholar
  13. 13.
    W.A. Arnold, W.R. Wilcox, F. Carlson, A. Chait, L.L. Regel, Transport modes during crystal growth in a centrifuge, J. Crystal Growth 119: 24 (1992).CrossRefGoogle Scholar
  14. 14.
    G. Müller, G. Neumann, and W. Weber, The growth of homogeneous semiconductor crystals in a centrifuge by the stabilizing influence of the Coriolis force, J. Crystal growth 119: 8 (1992).CrossRefGoogle Scholar
  15. 15.
    W.R. Wilcox and L.L. Regel, Influence of centrifugation on transport phenomena, 46th International Astronautical Congress, Oslo, Norway (1995).Google Scholar
  16. 16.
    W.R. Wilcox, L.L. Regel, and W.A. Arnold, Convection and segregation during vertical Bridgman growth with centrifugation, J. Crystal Growth 187: 543 (1998).CrossRefGoogle Scholar
  17. 17.
    A. F. Witt, H.C. Gatos, M. Lichtensteiger, M.C. Lavine, and C.J. Herman, Crystal growth and steady state segregation under zero gravity, J. Electrochemical Soc. 122: 276 (1975).CrossRefGoogle Scholar
  18. 18.
    C.W. Lan, Effects of ampoule rotation on flows and dopant segregation in vertical Bridgman crystal growth, J. Crystal Growth 197: 983 (1999).CrossRefGoogle Scholar
  19. 19.
    A. Yeckel, F.P. Doty, and J.J. Derby, Effect of steady ampoule rotation on segregation in high-pressure vertical Bridgman growth of cadmium zinc telluride, J. Crystal Growth 203: 87 (1999).CrossRefGoogle Scholar
  20. 20.
    C.W. Lan, M.C. Liang, J.H. Chian, Influence of steady ampoule rotation on three-dimensional flows and segregation in Bridgman crystal growth, J. Crystal Growth 212: 340 (2000).CrossRefGoogle Scholar
  21. 21.
    C.W. Lan, Effects of centrifugal acceleration on the flows and segregation in vertical Bridgman crystal growth, J. Crystal Growth, submitted.Google Scholar
  22. 22.
    C.W. Lan and J.H. Chian, Effects of ampoule rotation on vertical zone-melting crystal growth: steady rotation versus accelerated crucible rotation technique, J. Crystal Growth 203: 286 (1999).CrossRefGoogle Scholar
  23. 23.
    C.W. Lan, M.C. Liang, J.H. Chian, Suppressing three-dimensional unsteady flows in vertical zone-melting crystal growth, J. Crystal Growth 213: 395 (2000).CrossRefGoogle Scholar
  24. 24.
    C.W. Lan, M.C. Liang, J.H. Chian, Three-dimensional simulation of vertical zone-melting crystal growth: symmetry breaking to multiple states, J. Crystal Growth 208: 327 (2000).CrossRefGoogle Scholar
  25. 25.
    W.G. Pfann, Zone Melting (2nd End), John Wiley and Sons, New York (1966), p 97.Google Scholar
  26. 26.
    W.G. Pfann, C.E. Miller, and J.D. Hunt, New zone refining techniques for chemical compounds, Rev. Sci.lnstr. 37: 649(1966).CrossRefGoogle Scholar
  27. 27.
    C.W. Lan, J.H. Chian, and T.Y. Wang, Interface control mechanisms in horizontal zone-melting with slow rotation, J. Crystal Growth, in press.Google Scholar
  28. 28.
    G. Buzyna and G. Veronis, Spin-up of a stratified fluid: theory and experiment, J. Fluid Mech. 50: 579(1971).CrossRefGoogle Scholar
  29. 29.
    M.C. Liang and C.W. Lan, A finite-volume/Newton method for a two-phase heat flow problem using primitive variables and collocated grids, J. Comp. Phys. 127: 330 (1996).CrossRefGoogle Scholar
  30. 30.
    C.W. Lan and M.C. Liang, Multigrid methods for incompressible heat flow problems with an unknown interface, J. Comp. Phys., 152: 55 (1999).CrossRefGoogle Scholar
  31. 31.
    P.M. Adornato and R.A. Brown, Convection and segregation in directional solidification of dilute and non-dilute binary alloy: effects of ampoule and furnace design, J. Crystal Growth 80: 155 (1987).CrossRefGoogle Scholar
  32. 32.
    C.W. Lan and F.C. Chen, A finite volume method for solute segregation in directional solidification and comparison with a finite element method, Comput. Meth. Appl. Mech. Eng. 131: 191 (1996).CrossRefGoogle Scholar
  33. 33.
    C.W. Lan, Comparison of flow and segregation control by ampoule rotation and magnetic fields for vertical Bridgman crystal growth, J. Chin. Inst. Chem. Engrs, to appear.Google Scholar
  34. 34.
    S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover, New York (1961).Google Scholar
  35. 35.
    H.P. Greenspan, The Theory of Rotating Fluids, Cambridge Univ. Press., Cambridge, UK (1969).Google Scholar
  36. W. R. Wilcox, R. Friedenberg, and N. Back, Zone melting of organic compounds, Chem. Rev. 64: 187 (1964).CrossRefGoogle Scholar
  37. 37.
    C.W. Lan, Three-dimensional simulation of heat flow and interfaces in floating-zone crystal growth, J. Crystal Growth, in preparation.Google Scholar
  38. 38.
    C.W. Lan, Heat Transfer, Fluid Flow, and Interface Shapes in Floating-Zone Crystal Growth, PhD Dissertation, University of Wisconsin at Madison (1991).Google Scholar
  39. 39.
    C.W. Lan and S. Kou, Effects of rotation on heat transfer, fluid flow, and interfaces in normal gravity floating-zone crystal growth, J. Crystal Growth 114: 517 (1991).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • C. W. Lan
    • 1
  1. 1.Department of Chemical EngineeringNational Taiwan UniversityTaipeiTaiwan, ROC

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