Advertisement
Article

Computer Models of Crystal Growth

Science25 Apr 1980Vol 208, Issue 4442pp. 355-363DOI: 10.1126/science.208.4442.355

Abstract

Dynamic models of crystal surfaces have provided new insights into the crystal growth process. The effects of surface roughening, dislocations, and impurities have been assessed. Certain impurities have been found to cause a larger increase in the growth rate than screw dislocations.

References

ABRAHAM, F.F., COMPUTER SIMULATION OF VAPOR DEPOSITION ON 2-DIMENSIONAL LATTICES, JOURNAL OF APPLIED PHYSICS 41: 1841 (1970).
ABRAHAM, F.F., BOND AND STRAIN-ENERGY EFFECTS IN SURFACE SEGREGATION - ATOMIC CALCULATION, SURFACE SCIENCE 83: 406 (1979).
BECKER, R, Kinetic treatment of germ formation in supersaturated vapour, ANNALEN DER PHYSIK 24: 719 (1935).
BERTOCCI, U, COMPUTER-SIMULATION OF CRYSTAL-GROWTH ON A FCC SURFACE, JOURNAL OF CRYSTAL GROWTH 26: 219 (1974).
BETHGE, H, J CRYST GROWTH 3: 184 (1968).
BEWICK, A, KINETICS OF ELECTROCRYSTALLIZATION OF THIN FILMS OF CALOMEL, TRANSACTIONS OF THE FARADAY SOCIETY 58: 2200 (1962).
BOSTANOFF, V, MULTINUCLEAR GROWTH OF DISLOCATION-FREE PLANES IN ELECTROCRYSTALLIZATION, JOURNAL OF THE ELECTROCHEMICAL SOCIETY 119: 1346 (1972).
BURTON, W.K., DISCUSS FARADAY SOC 5: 33 (1949).
CABRERA, N, ON THE DISLOCATION THEORY OF EVAPORATION OF CRYSTALS, PHILOSOPHICAL MAGAZINE 1: 450 (1956).
CAHN, J.W., FREE ENERGY OF A NONUNIFORM SYSTEM .2. THERMODYNAMIC BASIS, JOURNAL OF CHEMICAL PHYSICS 30: 1121 (1959).
CAHN, J.W., FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY, JOURNAL OF CHEMICAL PHYSICS 28: 258 (1958).
CHERNOV, A. A., JOURNAL OF CRYSTAL GROWTH 42: 55 (1977).
CHERNOV, A. A., SOVIET PHYSICS USPEKHI-USSR 13: 101 (1970).
CHUI, S. T., PHYSICAL REVIEW B 14: 4978 (1976).
CISZEK, T.F., NON-CYLINDRICAL GROWTH HABIT OF FLOAT ZONED DISLOCATION-FREE [111] SILICON CRYSTALS, JOURNAL OF CRYSTAL GROWTH 10: 263 (1971).
DAVEY, R.J., GROWTH OF (100) FACES OF AMMONIUM DIHYDROGEN PHOSPHATE CRYSTALS IN PRESENCE OF IONIC SPECIES, JOURNAL OF CRYSTAL GROWTH 26: 45 (1974).
DEHAAN, SWH, J CRYST GROWTH 24: 491 (1974).
FRANK, F.C., DISCUSS FARADAY SOC 5: 48 (1949).
Gilmer, G. H., Computer Simulation of Crystal Growth (1980).
Gilmer, G. H., Crystal Growth and Materials: 80 (1977).
GILMER, G.H., SIMULATION OF CRYSTAL-GROWTH WITH SURFACE DIFFUSION, JOURNAL OF APPLIED PHYSICS 43: 1347 (1972).
Gilmer, G. H., Journal of Crystal Growth 49: 465 (1980).
GILMER, G.H., J CRYST GROWTH 35: 15 (1976).
GILMER, G.H., COMPUTER-SIMULATION OF CRYSTAL-GROWTH, JOURNAL OF CRYSTAL GROWTH 42: 3 (1977).
HAMMERSLEY, J.M., MONTE CARLO METHODS (1964).
HEINEMANN, K, STRUCTURE OF SMALL, VAPOR-DEPOSITED PARTICLES .1. EXPERIMENTAL-STUDY OF SINGLE-CRYSTALS AND PARTICLES WITH PENTAGONAL PROFILES, JOURNAL OF CRYSTAL GROWTH 47: 177 (1979).
HELMS, C.R., SURFACE SEGREGATION IN ALLOYS - EXISTENCE OF SURFACE MISCIBILITY GAPS WITHIN REGULAR SOLUTION THEORY, SURFACE SCIENCE 69: 689 (1977).
HILL, T.L., INTRO STATISTICAL TH (1960).
HOLLISTER, L.S., ORIGIN,MECHANISM, AND CONSEQUENCES OF COMPOSITIONAL SECTOR-ZONING IN STAUROLITE, AMERICAN MINERALOGIST 55: 742 (1970).
HUANG, K, STATISTICAL MECHANIC (1963).
JACKSON, K.A., EXPERIMENTAL-OBSERVATION OF SURFACE ROUGHENING TRANSITION IN VAPOR-PHASE GROWTH, JOURNAL OF CRYSTAL GROWTH 40: 169 (1977).
JACKSON, K.A., LIQUID METALS SOLIDI: 174 (1958).
KIMURA, C, J CRYST GROWTH 38: 233 (1972).
KNOPS, HJF, EXACT RELATION BETWEEN SOLID-ON-SOLID MODEL AND XY MODEL, PHYSICAL REVIEW LETTERS 39: 766 (1977).
LEAMY, H.J., NON-EQUILIBRIUM INCORPORATION OF IMPURITIES DURING RAPID SOLIDIFICATION, JOURNAL OF CRYSTAL GROWTH 48: 379 (1980).
LEAMY, H.J., SURFACE PHYSICS MATE 1: 121 (1975).
MICHAELS, A.I., MONTE-CARLO SIMULATION OF KINETICS OF HETEROGENEOUS NUCLEATION, JOURNAL OF APPLIED PHYSICS 45: 9 (1974).
MULLERKRUMBHAAR, H, CURRENT TOPICS MATER 1: 1 (1978).
PAVLOVSKA, A, EXPERIMENTAL STUDIES ON ROUGHNESS OF CRYSTAL-VAPOR INTERFACE OF ADAMANTANE, JOURNAL OF CRYSTAL GROWTH 46: 551 (1979).
SATO, K, GROWTH MECHANISM OF STEARIC-ACID SINGLE-CRYSTALS, JOURNAL OF CRYSTAL GROWTH 42: 264 (1977).
SOLOVEV, V.V., SOVIET PHYSICS-DOKLADY 17: 8 (1972).
STRANSKI, I.N., On the theory of crystal accretion., ZEITSCHRIFT FUR PHYSIKALISCHE CHEMIE--STOCHIOMETRIE UND VERWANDTSCHAFTSLEHRE 136: 259 (1928).
SWENDSEN, R.H., J CRYST GROWTH: 73 (1976).
TEMKIN, D.E., A KOSSEL MODEL OF KINETICS OF GROWTH AND EVAPORATION NORMAL TO A [100] FACE, SOVIET PHYSICS CRYSTALLOGRAPHY, USSR 14: 344 (1969).
UYEDA, R, MORPHOLOGY OF FINE METAL CRYSTALLITES, JOURNAL OF CRYSTAL GROWTH 24: 69 (1974).
VANBEIJEREN, H, EXACTLY SOLVABLE MODEL FOR ROUGHENING TRANSITION OF A CRYSTAL-SURFACE, PHYSICAL REVIEW LETTERS 38: 993 (1977).
VANDEREERDEN, J.P., PROGR CRYSTAL GROWTH 3: 219 (1979).
VOLMER, M, KINETIK PHASENBILDUN (1939).
WEEKS, J.D., ADVANCES IN CHEMICAL PHYSICS 40: 157 (1979).
WEEKS, J.D., STRUCTURAL TRANSITION IN ISING-MODEL INTERFACE, PHYSICAL REVIEW LETTERS 31: 549 (1973).
Get full access to this article

View all available purchase options and get full access to this article.

Already a Subscriber?

Information & Authors

Information

Published In

Science
Volume 208 | Issue 4442
25 April 1980

Submission history

Published in print: 25 April 1980

Permissions

Request permissions for this article.

Authors

Affiliations

G. H. Gilmer
Member of the technical staff at Bell Laboratories, Murray Hill, New Jersey 07974

Metrics & Citations

Metrics

Article Usage
Altmetrics

Citations

Export citation

Select the format you want to export the citation of this publication.

View Options

Get Access

Log in to view the full text

AAAS ID LOGIN

AAAS login provides access to Science for AAAS Members, and access to other journals in the Science family to users who have purchased individual subscriptions.

Log in via OpenAthens.
Log in via Shibboleth.
More options

Purchase digital access to this article

Download and print this article for your personal scholarly, research, and educational use.

Purchase this issue in print

Buy a single issue of Science for just $15 USD.

View options

PDF format

Download this article as a PDF file

Download PDF

Media

Figures

Multimedia

Tables

Share

Share

Share article link

Share on social media