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Title: Equilibria and kinetics of mass transport between crystal facets: A comparison of two models

Abstract

The principle of detailed balance is used to evaluate equilibrium between a crystal facet and a transport medium, and transition state theory is then used to evaluate the kinetics of transport between two facets of a particle of nonequilibrium shape. For each of two test geometries undergoing volume-conserved shape changes, the transition state model predicts the same trajectories for detachment/attachment-limited transport as does a continuum model based on the crystalline formulation (Carter et al., Acta Metallurgica et Materialia, 1995, 43, 4309). Both models agree that reported rates of decay of (100) steps in LiF surfaces are not limited by diffusion, and transition state theory shows that detachment is rate limiting. The geometry of the LiF study is like that of particle compacts in that facet edges provide sites for nucleation monolayer ledges at which attachment or detachment can occur; the two models should both be useful in interpreting sintering studies.

Authors:
 [1];  [2]
  1. Univ. of Illinois, Urbana, IL (United States). Dept. of Materials Science and Engineering
  2. Univ. of California, Berkeley, CA (United States). Dept. of Materials Science and Mineral Engineering
Publication Date:
Sponsoring Org.:
National Science Foundation, Washington, DC (United States); USDOE, Washington, DC (United States)
OSTI Identifier:
684404
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Journal Article
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 47; Journal Issue: 10; Other Information: PBD: 10 Aug 1999
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; CRYSTAL STRUCTURE; CRYSTAL GROWTH; POLYCRYSTALS; CRYSTAL MODELS; DIFFUSION; MASS TRANSFER; EQUILIBRIUM; KINETICS; SINTERING

Citation Formats

Bullard, J.W., and Searcy, A.W. Equilibria and kinetics of mass transport between crystal facets: A comparison of two models. United States: N. p., 1999. Web. doi:10.1016/S1359-6454(99)00170-6.
Bullard, J.W., & Searcy, A.W. Equilibria and kinetics of mass transport between crystal facets: A comparison of two models. United States. doi:10.1016/S1359-6454(99)00170-6.
Bullard, J.W., and Searcy, A.W. Tue . "Equilibria and kinetics of mass transport between crystal facets: A comparison of two models". United States. doi:10.1016/S1359-6454(99)00170-6.
@article{osti_684404,
title = {Equilibria and kinetics of mass transport between crystal facets: A comparison of two models},
author = {Bullard, J.W. and Searcy, A.W.},
abstractNote = {The principle of detailed balance is used to evaluate equilibrium between a crystal facet and a transport medium, and transition state theory is then used to evaluate the kinetics of transport between two facets of a particle of nonequilibrium shape. For each of two test geometries undergoing volume-conserved shape changes, the transition state model predicts the same trajectories for detachment/attachment-limited transport as does a continuum model based on the crystalline formulation (Carter et al., Acta Metallurgica et Materialia, 1995, 43, 4309). Both models agree that reported rates of decay of (100) steps in LiF surfaces are not limited by diffusion, and transition state theory shows that detachment is rate limiting. The geometry of the LiF study is like that of particle compacts in that facet edges provide sites for nucleation monolayer ledges at which attachment or detachment can occur; the two models should both be useful in interpreting sintering studies.},
doi = {10.1016/S1359-6454(99)00170-6},
journal = {Acta Materialia},
number = 10,
volume = 47,
place = {United States},
year = {1999},
month = {8}
}