An Enhanced Facet Determination Scheme in 3D

An enhanced scheme for the determination of equilibrium crystal shapes is introduced. The emphasis of the present study is put on the proper detection of the facets appearing on the crystal surface. The original formulation presented in [ 1 ] employs the principle of the virtual work, and the enhanc...

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Bibliographic Details
Published inJournal of low temperature physics Vol. 186; no. 1-2; pp. 63 - 73
Main Authors Reivinen, M., Salonen, E.-M., Todoshchenko, I., Vaskelainen, V. P.
Format Journal Article
LanguageEnglish
Published New York Springer US 2017
Springer Nature B.V
Subjects
Characterization and Evaluation of Materials
Condensed Matter Physics
Crystal surfaces
Crystals
Derivation
Formulations
Low temperature physics
Magnetic Materials
Magnetism
Physics
Physics and Astronomy
Virtual work
Facets
Crystal shape
Penalty method
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Summary:An enhanced scheme for the determination of equilibrium crystal shapes is introduced. The emphasis of the present study is put on the proper detection of the facets appearing on the crystal surface. The original formulation presented in [ 1 ] employs the principle of the virtual work, and the enhanced scheme additionally makes use of a penalty formulation approach. The derivation of the penalty terms is discussed in detail. Finally, the corresponding discrete method is applied to a certain problematic example case presented in [ 1 ] resulting now in the correct crystal shape.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0022-2291
1573-7357
DOI:10.1007/s10909-016-1648-z