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Surface and Volume Diffusion Controlling Step Movement

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Modern Theory of Crystal Growth I

Part of the book series: Crystals ((CRYSTALS,volume 9))

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Abstract

One of the aspects of crystal growth is the transport of growth units. They are furnished from what we shall call the mother phase. In many experimental situations the mother phase will be well mixed due to convection, turbulence etc. Close to the crystalsurface, however, the flowis retarded and the contribution of diffusion to the transport of growth units increases relative to the convective contribution. If the growth units reach the crystal surface they can be incorporated directly into the steps; the direct incorporation or Chernov mechanism1). Alternatively, however, they can be depositedon the relatively smooth regions between steps and reach the steps after surface diffusion: the indirect incorporation or Gilmer, Ghez and Cabrera2–4 mechanism.

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References

  1. Chernov, A. A.: Sov. Phys. Usp. 4, 116(1961)

    Article  Google Scholar 

  2. Gilmer, G. H. et al.: J. Crystal Gr. 8, 79(1971)

    Article  CAS  Google Scholar 

  3. Ghez, R. et al.: J. Crystal Gr. 21, 93(1974)

    Article  CAS  Google Scholar 

  4. Burton, W. K. et al.: Phil. Trans. Roy. Soc. London A243, 299(1951)

    CAS  Google Scholar 

  5. Levich, V. G.: Physico Chemical Hydrodynamics, Englewood Cliffs, Prentice Hall 1962

    Google Scholar 

  6. Bennema, P.: Crystal Growth, an introduction, Amsterdam, North-Holland 1973

    Google Scholar 

  7. van der Hoek, B. et al.: J. Crystal Gr. 56, 108(1982)

    Article  Google Scholar 

  8. van der Hoek, B. et al.: to be published in J. Crystal Gr.

    Google Scholar 

  9. Görnert, P. et al.: Phys. Stat. Sol. A57, 163(1980)

    Article  Google Scholar 

  10. Höche, H. et al.: J. Crystal Gr. 42, 110(1977)

    Article  Google Scholar 

  11. van der Eerden, J. P.: J. Crystal Gr. 56, 174(1982)

    Article  Google Scholar 

  12. Höche, H. et al.: J. Crystal Gr. 33, 246(1976)

    Article  Google Scholar 

  13. Stakgold, I.: Boundary value problems of mathematical physics, New York - London, Mac Millan 1968

    Google Scholar 

  14. Cabrera, N. et al.: Phil. Mag. 1, 450(1956)

    Article  CAS  Google Scholar 

  15. van der Hoek, B. et al.: to be published in J. Crystal Gr. 56, 621(1982)

    Article  Google Scholar 

  16. Watson, G. N.: Theory of Bessel functions, Cambridge, Univ. press 19625

    Google Scholar 

  17. Whittaker, E. T. et al.: A course of Modern Analysis, Cambridge, University press 19529

    Google Scholar 

  18. van der Eerden, J. P.: J. Crystal Gr. 52, 14(1981)

    Article  Google Scholar 

  19. van der Eerden, J. P.: J. Crystal Gr. 53, 315(1981)

    Article  Google Scholar 

  20. Hammersley, J. M. et al.: Monte Carlo Methods, London, Methuen 1964

    Book  Google Scholar 

  21. Berezin, I. S. et al.: Computing Methods, Oxford, Pergamon 1965

    Google Scholar 

  22. Métois, J. J. et al.: J. Crystal Gr. 47, 357(1979)

    Article  Google Scholar 

  23. van der Eerden, J. P.: J. Crystal Gr. 53, 305(1981)

    Article  Google Scholar 

  24. Tsukamoto, K.: private communication

    Google Scholar 

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© 1983 Springer-Verlag Berlin Heidelberg

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van der Eerden, J.P. (1983). Surface and Volume Diffusion Controlling Step Movement. In: Chernov, A.A., Müller-Krumbhaar, H. (eds) Modern Theory of Crystal Growth I. Crystals, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68938-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-68938-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-68940-6

  • Online ISBN: 978-3-642-68938-3

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