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Comparison between analytical and numeric determination of the interface curvature during dewetted Bridgman crystal growth

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Title: Comparison between analytical and numeric determination of the interface curvature during dewetted Bridgman crystal growth
Authors: Epure, Simona1,2, Duffar, Thierry1 thierry.duffar@inpg.fr, Braescu, Liliana2
Source: Journal of Crystal Growth. Apr2008, Vol. 310 Issue 7-9, p1559-1563. 5p.
Subjects: Curvature, Calculus, Crystal growth, Crystal grain boundaries
Abstract: Abstract: The effect of the crystal–crucible gap on the curvature of the solid–liquid interface, in the dewetted Bridgman method, has been studied for a set of non-dimensional parameters representative of classical semiconductor crystal growth. Using COMSOL Multiphysics 3.3, the equation of energy, in which thermal conductivity varies as a function of temperature, has been solved in the stationary case, to find the shape of the solid–liquid interface. The analysis shows that the shape of the interface depends on the thickness of the gap, the thickness of the crucible, and the thermal conductivities of the liquid, solid and crucible. These dependences were compared with those obtained through an analytical formula for the interface curvature, based on simple heat fluxes arguments. The main conclusion is that the solid–liquid interface curvature can be adjusted by the thickness of the gap. In some cases the curvature can be reversed from convex to concave. [Copyright &y& Elsevier]
Copyright of Journal of Crystal Growth is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 31581675
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Comparison between analytical and numeric determination of the interface curvature during dewetted Bridgman crystal growth
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  Data: <searchLink fieldCode="AR" term="%22Epure%2C+Simona%22">Epure, Simona</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Duffar%2C+Thierry%22">Duffar, Thierry</searchLink><relatesTo>1</relatesTo><i> thierry.duffar@inpg.fr</i><br /><searchLink fieldCode="AR" term="%22Braescu%2C+Liliana%22">Braescu, Liliana</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Crystal+Growth%22">Journal of Crystal Growth</searchLink>. Apr2008, Vol. 310 Issue 7-9, p1559-1563. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus%22">Calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Crystal+growth%22">Crystal growth</searchLink><br /><searchLink fieldCode="DE" term="%22Crystal+grain+boundaries%22">Crystal grain boundaries</searchLink>
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  Data: Abstract: The effect of the crystal–crucible gap on the curvature of the solid–liquid interface, in the dewetted Bridgman method, has been studied for a set of non-dimensional parameters representative of classical semiconductor crystal growth. Using COMSOL Multiphysics 3.3, the equation of energy, in which thermal conductivity varies as a function of temperature, has been solved in the stationary case, to find the shape of the solid–liquid interface. The analysis shows that the shape of the interface depends on the thickness of the gap, the thickness of the crucible, and the thermal conductivities of the liquid, solid and crucible. These dependences were compared with those obtained through an analytical formula for the interface curvature, based on simple heat fluxes arguments. The main conclusion is that the solid–liquid interface curvature can be adjusted by the thickness of the gap. In some cases the curvature can be reversed from convex to concave. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Crystal Growth is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jcrysgro.2007.11.217
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 5
        StartPage: 1559
    Subjects:
      – SubjectFull: Curvature
        Type: general
      – SubjectFull: Calculus
        Type: general
      – SubjectFull: Crystal growth
        Type: general
      – SubjectFull: Crystal grain boundaries
        Type: general
    Titles:
      – TitleFull: Comparison between analytical and numeric determination of the interface curvature during dewetted Bridgman crystal growth
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            NameFull: Epure, Simona
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            NameFull: Duffar, Thierry
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            NameFull: Braescu, Liliana
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            – D: 01
              M: 04
              Text: Apr2008
              Type: published
              Y: 2008
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              Value: 310
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              Value: 7-9
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            – TitleFull: Journal of Crystal Growth
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