Modeling elasticity in crystal growth

K. R. Elder; Mark Katakowski; Mikko Haataja; Martin Grant

doi:10.1103/PhysRevLett.88.245701

Modeling elasticity in crystal growth

K. R. Elder, Mark Katakowski, Mikko Haataja, Martin Grant

Research output: Contribution to journal › Article › peer-review

811 Scopus citations

Abstract

A model of crystal growth that describes the phenomena on atomic length and diffusive time scales was presented. The model can also describe the statics and dynamics of a conserved field. A free energy that was minimized by a periodic hexagonal state was considered. The model was shown to be consistent with the predictions of Read and Shockley for grain boundary energy and Matthews and Blakeslee for misfit dislocations in epitaxial growth.

Original language	English (US)
Article number	245701
Pages (from-to)	2457011-2457014
Number of pages	4
Journal	Physical review letters
Volume	88
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.88.245701
State	Published - Jun 17 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.88.245701

Cite this

@article{5417662cde974480848737332c06edff,

title = "Modeling elasticity in crystal growth",

abstract = "A model of crystal growth that describes the phenomena on atomic length and diffusive time scales was presented. The model can also describe the statics and dynamics of a conserved field. A free energy that was minimized by a periodic hexagonal state was considered. The model was shown to be consistent with the predictions of Read and Shockley for grain boundary energy and Matthews and Blakeslee for misfit dislocations in epitaxial growth.",

author = "Elder, {K. R.} and Mark Katakowski and Mikko Haataja and Martin Grant",

year = "2002",

month = jun,

day = "17",

doi = "10.1103/PhysRevLett.88.245701",

language = "English (US)",

volume = "88",

pages = "2457011--2457014",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "24",

}

TY - JOUR

T1 - Modeling elasticity in crystal growth

AU - Elder, K. R.

AU - Katakowski, Mark

AU - Haataja, Mikko

AU - Grant, Martin

PY - 2002/6/17

Y1 - 2002/6/17

N2 - A model of crystal growth that describes the phenomena on atomic length and diffusive time scales was presented. The model can also describe the statics and dynamics of a conserved field. A free energy that was minimized by a periodic hexagonal state was considered. The model was shown to be consistent with the predictions of Read and Shockley for grain boundary energy and Matthews and Blakeslee for misfit dislocations in epitaxial growth.

AB - A model of crystal growth that describes the phenomena on atomic length and diffusive time scales was presented. The model can also describe the statics and dynamics of a conserved field. A free energy that was minimized by a periodic hexagonal state was considered. The model was shown to be consistent with the predictions of Read and Shockley for grain boundary energy and Matthews and Blakeslee for misfit dislocations in epitaxial growth.

UR - http://www.scopus.com/inward/record.url?scp=0037124649&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037124649&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.88.245701

DO - 10.1103/PhysRevLett.88.245701

M3 - Article

C2 - 12059316

AN - SCOPUS:0037124649

SN - 0031-9007

VL - 88

SP - 2457011

EP - 2457014

JO - Physical review letters

JF - Physical review letters

IS - 24

M1 - 245701

ER -

Modeling elasticity in crystal growth

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this