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Exact Scaling Form for the Island Size Distribution in Submonolayer Epitaxial Growth

Published online by Cambridge University Press:  15 February 2011

M. C. Bartelt  and
J. W. Evans
M. C. Bartelt
Affiliation:
Computational Materials Science Department, Sandia National Laboratory, Livermore CA 94550, [email protected]
J. W. Evans
Affiliation:
Department of Mathematics and Ames Laboratory, Iowa State University, Ames, Iowa 50011, [email protected]
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Abstract

The exact scaling form is determined for the size distribution of islands created via irreversible nucleation and growth during submonolayer deposition. This form is controlled by a dependence on size of the propensity for islands to “capture” diffusing adatoms. This sizedependence is determined directly from simulations. It reflects a complex relationship between the size of an island, and the area of its cell in a tessellation of the surface based on the island locations. The relationship corresponds to a correlation between island size and separation.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 440: Symposia CA – Structure and Evolution of Surfaces , 1996 , 247
Copyright
Copyright © Materials Research Society 1997

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References

1. Venables, J.A., Phil. Mag. 27, 693 (1973); S. Stoyanov and D. Kashchiev, Curr. Top. Mater. Sci. 7, 69 (1981).Google Scholar
2. Bartelt, M.C. and Evans, J.W., Phys. Rev. B 46, 12675 (1992); J.W. Evans and M.C. Bartelt, J. Vac. Sci. Tech. A 12, 1800 (1994) describe the point-island model, and its behavior; M.C. Bartelt and J.W. Evans, Surf. Sci. 298, 421 (1993); J.W. Evans and M.C. Bartelt, Langmuir 12, 217 (1996) describe a more realistic square-island model, and its behavior.Google Scholar
3. Ratsch, C., Zangwill, A., Šmilauer, P., and Vvedensky, D.D., Phys. Rev. Lett. 72, 3194 (1994); C. Ratsch, P. Smilauer, A. Zangwill, and D.D. Vvedensky, Surf. Sci. 329, L599 (1995).Google Scholar
4. Amar, J.G. and Family, F., Phys. Rev. Lett. 74, 2066 (1995).Google Scholar
5. Bartelt, M.C. and Evans, J.W., Phys. Rev. B 54, Dec. 15 (1996).Google Scholar
6. Bales, G.S. and Chrzan, D.C., Phys. Rev. B 50, 6057 (1994).Google Scholar
7. Venables, J.A. and Ball, D., Proc. R. Soc. Lond. 322, 331 (1971).Google Scholar
8. Mulheran, P.A. and Blackman, J.A., Phys. Rev. B 53, 10261 (1996).Google Scholar
9. Stoyanov, S., Curr. Topics in Mat. Sci. 3, 421 (1979).Google Scholar
10. Mulheran, P.A. and Blackman, J.A., Phil. Mag. Lett. 72, 55 (1995).Google Scholar