DOI: 10.1063/1.103016. Stability of crystals that grow or evaporate by step propagation

Stability of crystals that grow or evaporate by step propagation

10.1063/1.103016

Crossref journal-article

AIP Publishing

Applied Physics Letters (317)

Abstract

We analyze the linear stability of a Stefan-like problem for moving steps in the context of W. K. Burton, N. Cabrera, and F. C. Frank’s theory of crystal growth [Philos. Trans. R. Soc. (London) A 243, 299 (1951)]. Asymmetry and departures from equilibrium at steps are included. The stability criterion depends on supersaturation and average step spacing, both experimentally accessible, and on dimensionless combinations of surface diffusivity, surface diffusion length, and adatom capture probabilities at steps, which can be estimated from bond models. This stability criterion is analyzed and presented graphically in terms of these physical parameters.

Bibliography

Ghez, R., Cohen, H. G., & Keller, J. B. (1990). Stability of crystals that grow or evaporate by step propagation. Applied Physics Letters, 56(20), 1977â1979.

Authors 3

R. Ghez (first)
H. G. Cohen (additional)
Joseph B. Keller (additional)

References 16 Referenced 11

10.1080/00018735200101171 / Adv. Phys. (1952)
10.1098/rsta.1951.0006 / Philos. Trans. R. Soc. (London) A (1951)
{'key': '2024020300591966200_r3'}
{'key': '2024020300591966200_r4', 'first-page': '88', 'volume': '1', 'year': '1956', 'journal-title': 'Sov. Phys. Crystall'} / Sov. Phys. Crystall (1956)
10.1063/1.1707904 / J. Appl. Phys. (1966)
10.1063/1.1657442 / J. Appl. Phys. (1969)
{'key': '2024020300591966200_r7'}
10.1147/rd.326.0804 / IBM J. Res. Dev. (1988)
{'key': '2024020300591966200_r9'}
10.1016/0022-0248(76)90110-X / J. Cryst. Growth (1976)
10.1063/1.1702607 / J. Appl. Phys. (1963)
10.1063/1.1713333 / J. Appl. Phys. (1964)
{'key': '2024020300591966200_r12', 'first-page': '734', 'volume': '16', 'year': '1972', 'journal-title': 'Sov. Phys. Crystall.'} / Sov. Phys. Crystall. (1972)
10.1103/RevModPhys.52.1 / Rev. Mod. Phys. (1980)
{'key': '2024020300591966200_r14'}
10.1016/0022-0248(79)90095-2 / J. Cryst. Growth (1979)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:51 a.m.)
Deposited	1 year, 7 months ago (Feb. 2, 2024, 7:59 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 10:03 a.m.)
Issued	35 years, 3 months ago (May 14, 1990)
Published	35 years, 3 months ago (May 14, 1990)
Published Print	35 years, 3 months ago (May 14, 1990)

Funders 0

None

BibTeX

@article{Ghez_1990, title={Stability of crystals that grow or evaporate by step propagation}, volume={56}, ISSN={1077-3118}, url={http://dx.doi.org/10.1063/1.103016}, DOI={10.1063/1.103016}, number={20}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Ghez, R. and Cohen, H. G. and Keller, Joseph B.}, year={1990}, month=may, pages={1977–1979} }

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