Geometric model of crystal growth between rigid walls I. Kinetical faceting by geometric constraints

A. J. Vilenkin*, A. Brokman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A geometric model of interface controlled crystal growth between two parallel rigid walls is presented. The interface equation of motion includes the migration driving force due to a bulk term and to local curvature. The interface mobility depends only on the local orientation. The walls impose geometrical constraints on the triple phase junction and the contact angle which is fixes by mechanical equilibrium. In the absence of external fields (e.g., the condition of slow growth), we solve this equation asymptotically, and we obtain the steady state shape and velocity of the interface. It is found that the geometric constraints cause kinetic faceting of the propagating interface. The velocity of the faceted interface depends on the facet slope and the walls wetting conditions. Experimental results of the propagating interface morphology during solid phase epitaxy may fit this description.

Original languageEnglish
Pages (from-to)261-268
Number of pages8
JournalJournal of Crystal Growth
Volume123
Issue number1-2
DOIs
StatePublished - Sep 1992

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