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Incorporation of surface tension to interface energy balance in crystal growth
Author(s) -
Yildiz M.,
Dost S.
Publication year - 2007
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.200710927
Subject(s) - surface tension , surface energy , discontinuity (linguistics) , jump , energy balance , crystal growth , thermodynamics , gibbs free energy , interface (matter) , balance (ability) , mechanics , surface (topology) , crystal (programming language) , energy (signal processing) , materials science , chemistry , gibbs isotherm , physics , mathematics , computer science , geometry , mathematical analysis , medicine , programming language , quantum mechanics , physical medicine and rehabilitation
Abstract Effect of surface tension across a growth interface is known as the Gibbs‐Thomson effect, and the associated energy balance is widely referred to as the Stefan condition in the literature, which is derived from thermodynamics. In this article, the interface energy balance that accounts for the effect of surface tension is derived by writing the jump condition for the energy balance on a surface of discontinuity which represents in crystal growth the evolving growth interface (solidification front) between the liquid and solid phases. To the best of our knowledge, the derivation of energy balance by writing jump conditions on a surface of discontinuity (interface) is new. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)