Simplified Monte Carlo simulations of point defects during industrial silicon crystal growth

Research output: Contribution to journalConference articleResearchpeer review

Authors

  • A. Muiznieks
  • I. Madzulis
  • K. Dadzis
  • K. Lacis
  • Th Wetzel

External Research Organisations

  • University of Latvia
  • Siltronic AG
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Details

Original languageEnglish
Pages (from-to)117-125
Number of pages9
JournalJournal of crystal growth
Volume266
Issue number1-3
Early online date28 Mar 2004
Publication statusPublished - 15 May 2004
EventFourth International Workshop on Modeling - Kyushu, Japan
Duration: 4 Nov 20037 Nov 2003

Abstract

The paper proposes Monte-Carlo method-based 2D and 3D models of vacancies and interstitials in a cubic crystal. The model exploits the concept of lattice gas with covalent bounds between neighbour nodes. Two lattices shifted by half-period serve as nodes for atoms of the main crystal and interstitials. Distribution of particles between both lattices characterizes the entropy of the crystal. Successfully chosen interaction energies between main and sub-lattices allows the authors to detect a phase transition solid-liquid as well as to study the production of crystal defects/their agglomeration as a function of cooling/heating rate. Although the introduced 3D modification of the model contains several rough assumptions, this gives all results of the 2D case as well as reflects some 3D specificities. All the results obtained agree qualitatively with experimental observations on crystals.

Keywords

    A1. Computer simulation, A1. Defects, A1. Point defects, A2. Single crystal growth, B1. Silicon

ASJC Scopus subject areas

Cite this

Simplified Monte Carlo simulations of point defects during industrial silicon crystal growth. / Muiznieks, A.; Madzulis, I.; Dadzis, K. et al.
In: Journal of crystal growth, Vol. 266, No. 1-3, 15.05.2004, p. 117-125.

Research output: Contribution to journalConference articleResearchpeer review

Muiznieks A, Madzulis I, Dadzis K, Lacis K, Wetzel T. Simplified Monte Carlo simulations of point defects during industrial silicon crystal growth. Journal of crystal growth. 2004 May 15;266(1-3):117-125. Epub 2004 Mar 28. doi: 10.1016/j.jcrysgro.2004.02.037
Muiznieks, A. ; Madzulis, I. ; Dadzis, K. et al. / Simplified Monte Carlo simulations of point defects during industrial silicon crystal growth. In: Journal of crystal growth. 2004 ; Vol. 266, No. 1-3. pp. 117-125.
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AU - Muiznieks, A.

AU - Madzulis, I.

AU - Dadzis, K.

AU - Lacis, K.

AU - Wetzel, Th

N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2004/5/15

Y1 - 2004/5/15

N2 - The paper proposes Monte-Carlo method-based 2D and 3D models of vacancies and interstitials in a cubic crystal. The model exploits the concept of lattice gas with covalent bounds between neighbour nodes. Two lattices shifted by half-period serve as nodes for atoms of the main crystal and interstitials. Distribution of particles between both lattices characterizes the entropy of the crystal. Successfully chosen interaction energies between main and sub-lattices allows the authors to detect a phase transition solid-liquid as well as to study the production of crystal defects/their agglomeration as a function of cooling/heating rate. Although the introduced 3D modification of the model contains several rough assumptions, this gives all results of the 2D case as well as reflects some 3D specificities. All the results obtained agree qualitatively with experimental observations on crystals.

AB - The paper proposes Monte-Carlo method-based 2D and 3D models of vacancies and interstitials in a cubic crystal. The model exploits the concept of lattice gas with covalent bounds between neighbour nodes. Two lattices shifted by half-period serve as nodes for atoms of the main crystal and interstitials. Distribution of particles between both lattices characterizes the entropy of the crystal. Successfully chosen interaction energies between main and sub-lattices allows the authors to detect a phase transition solid-liquid as well as to study the production of crystal defects/their agglomeration as a function of cooling/heating rate. Although the introduced 3D modification of the model contains several rough assumptions, this gives all results of the 2D case as well as reflects some 3D specificities. All the results obtained agree qualitatively with experimental observations on crystals.

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KW - A1. Defects

KW - A1. Point defects

KW - A2. Single crystal growth

KW - B1. Silicon

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