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Surface-dynamics of growing crystals

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Book cover Festkörperprobleme 19

Part of the book series: Advances in Solid State Physics ((ASSP,volume 19))

Abstract

The dynamic processes at surfaces of crystals during growth are described using a variety of mathematical formalisms, depending on the characteristic lenght scales and times of the processes. For surfaces without dislocations a master-equation formalism allows one to calculate surface structures and growth rates to a very good quantitative precision. Surface spirals originating from screw dislocations are described by a time-dependent Ginzburg-Landau equation. The resulting anisotropic spiral structures are in agreement with Monte-Carlo simulations and allow us to explain recent experiments. At temperatures above a predicted roughening transition the growth rate is proportional to the difference of chemical potentials across the crystal surface. Crystals growing from a super-saturated liquid in this regime develop an instability of the interface, producing dendritic protrusions. The most popular example is the snowflake. A dynamic stability analysis of these dendrites is in excellent quantitative agreement with recent experiments.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Hannover, Hannover, Germany

    Heiner Müller-Krumbhaar

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  1. Heiner Müller-Krumbhaar
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J. Treusch

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© 1979 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Müller-Krumbhaar, H. (1979). Surface-dynamics of growing crystals. In: Treusch, J. (eds) Festkörperprobleme 19. Advances in Solid State Physics, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108323

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  • DOI: https://doi.org/10.1007/BFb0108323

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-528-08025-9

  • Online ISBN: 978-3-540-75364-3

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