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Orientation-dependent surface tension functions for surface energy minimizing calculations.
- Source :
-
Journal of Materials Science . Jun2005, Vol. 40 Issue 12, p3107-3113. 7p. - Publication Year :
- 2005
-
Abstract
- Previous numerical methods that calculate equilibrium particle shape to study thermodynamic and kinetic processes depend on interfacial (surface) free energy functions γ( $$\skew7\hat{n}$$) that have cubic symmetry and thus produce Wulff shapes W of cubic symmetry. This work introduces a construction yielding the minimal surface energy density γconvex( W) that can be determined for any W. Each γ( $$\skew7\hat{n}$$) that belongs to the equivalence class γ( W) bounded by γconvex( W) can be used in an energy-minimizing calculation that depends only on W. For practical numerical calculations, this work gives two methods taking directional distance from specified orientation minima as a parameter to produce analytic forms of γ( $$\skew7\hat{n}$$) giving W as the equilibrium shape for (an otherwise unconstrained) fixed volume. Included are several two- and three-dimensional examples that demonstrate the application and utility of the model γ( $$\skew7\hat{n}$$) functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222461
- Volume :
- 40
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Materials Science
- Publication Type :
- Academic Journal
- Accession number :
- 17395453
- Full Text :
- https://doi.org/10.1007/s10853-005-2671-7