Crystals (Dec 2019)

Quasi-Transient Calculation of Czochralski Growth of Ge Crystals Using the Software Elmer

  • Wolfram Miller,
  • Nikolay Abrosimov,
  • Jörg Fischer,
  • Alexander Gybin,
  • Uta Juda,
  • Stefan Kayser,
  • Jószef Janicskó-Csáthy

DOI
https://doi.org/10.3390/cryst10010018
Journal volume & issue
Vol. 10, no. 1
p. 18

Abstract

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A numerical scheme was developed to compute the thermal and stress fields of the Czochralski process in a quasi-time dependent mode. The growth velocity was computed from the geometrical changes in melt and crystal due to pulling for every stage, for which the thermal and stress fields were computed by using the open source software Elmer. The method was applied to the Czochralski growth of Ge crystals by inductive heating. From a series of growth experiments, we chose one as a reference to check the validity of the scheme with respect to this Czochralski process. A good agreement both for the shapes of the melt/crystal interface at various time steps and the change in power consumption with process time was observed.

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