On the nonlinear dynamic process in Czochralski crystal growth

Chi-Chuan Hwang, Ke Ming Chen, Senpuu Lin

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The nonlinear dynamic process of Czochralski crystal growth (CZCG) is studied by the perturbation method. The solutions of this method can be used to predict, quantitatively, how a crystal growth with constant crystal radius is perfectly controlled by the desired combination of crystal pull rate and bulk melt temperature. It is found that for growth under constant bulk melt temperature (pull rate), the pull rate (bulk melt temperature) will increase with increasing ambient Biot number and/or decreasing melt Biot number. Furthermore, if the melt cannot be supercooled, we can formulate the maximum pull rate analytically. The pull rate must not exceed this maximum value, otherwise the CZCG process will break down.

Original languageEnglish
Pages (from-to)390-398
Number of pages9
JournalJournal of Crystal Growth
Issue number3-4
Publication statusPublished - 1995 Feb 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Inorganic Chemistry
  • Materials Chemistry


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