Radial distribution of temperature gradients in growing CZ-Si crystals and its application to the prediction of microdefect distribution

K. Kitamura, J. Furukawa, Y. Nakada, Naoki Ono, Y. Shimanuki, A. M. Eidenzon, N. I. Puzanov, D. N. Puzanov

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Experiments were performed to estimate the adequacy of simulation results obtained using global analysis of heat transfer performed using melt convection models. First, we reproduced the shapes of the crystal-melt interface for several crystal lengths using two turbulence models with standard value of the Karman constant. Moreover, axial temperature distributions were measured by imbedding thermocouples into the crystal as it grew from the silicon melt. During the experiment, the crystal and the crucible were rotated to match the simulation conditions. Temperatures were measured at three points located at different distances from the crystal axis. Comparing these results with the simulation results, we found that the distribution predicted by the k-l turbulence model was more realistic and agreed well with the results of the experiments. Finally, computer simulation, based on the parallel model of the void and oxide precipitate formation in silicon crystals is reported. The unusual microdefect pattern observed in the silicon crystal with a diameter of 150 mm, where oxide particles occured in the interstitial-rich region was reproduced by the simulation and explained.

Original languageEnglish
Pages (from-to)293-301
Number of pages9
JournalJournal of Crystal Growth
Volume242
Issue number3-4
DOIs
Publication statusPublished - 2002 Jul
Externally publishedYes

Fingerprint

radial distribution
Thermal gradients
temperature gradients
Crystals
predictions
Silicon
crystals
turbulence models
Turbulence models
Oxides
silicon
simulation
imbeddings
adequacy
oxides
Experiments
Crucibles
crucibles
thermocouples
Thermocouples

Keywords

  • A1. Diffusion
  • A1. Nucleation
  • A1. Point defects
  • A2. Czochralski method
  • A2. Growth from melt
  • A2. Single crystal growth
  • B2. Semiconducting silicon

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Radial distribution of temperature gradients in growing CZ-Si crystals and its application to the prediction of microdefect distribution. / Kitamura, K.; Furukawa, J.; Nakada, Y.; Ono, Naoki; Shimanuki, Y.; Eidenzon, A. M.; Puzanov, N. I.; Puzanov, D. N.

In: Journal of Crystal Growth, Vol. 242, No. 3-4, 07.2002, p. 293-301.

Research output: Contribution to journalArticle

Kitamura, K. ; Furukawa, J. ; Nakada, Y. ; Ono, Naoki ; Shimanuki, Y. ; Eidenzon, A. M. ; Puzanov, N. I. ; Puzanov, D. N. / Radial distribution of temperature gradients in growing CZ-Si crystals and its application to the prediction of microdefect distribution. In: Journal of Crystal Growth. 2002 ; Vol. 242, No. 3-4. pp. 293-301.
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KW - B2. Semiconducting silicon

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