Equilibrium step dynamics on vicinal surfaces

A. Pimpinelli; J. Villain; D. E. Wolf; J. J. Métois; J. C. Heyraud; I. Elkinani; G. Uimin

doi:10.1016/0039-6028(93)90190-U

Equilibrium step dynamics on vicinal surfaces

A. Pimpinelli, J. Villain, D. E. Wolf, J. J. Métois, J. C. Heyraud, I. Elkinani, G. Uimin

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

150 Scopus citations

Abstract

The time τ necessary for the formation of bumps due to thermal fluctuations on steps of vicinal surfaces is evaluated in various relevant cases. Formulae already derived by Mullins and Bales and Zangwill and other expressions recently published by Bartelt et al., are found as special cases. For Si(111) at 900°C we predict that τ is proportional to the step-step separation l and to the square of the fluctuation wavelength L. This prediction is found to be in reasonable agreement with direct experimental observations of equilibrium step fluctuations.

Original language	English (US)
Pages (from-to)	143-153
Number of pages	11
Journal	Surface Science
Volume	295
Issue number	1-2
DOIs	https://doi.org/10.1016/0039-6028(93)90190-U
State	Published - Sep 20 1993

ASJC Scopus subject areas

Condensed Matter Physics
Surfaces and Interfaces
Surfaces, Coatings and Films
Materials Chemistry

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10.1016/0039-6028(93)90190-U

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title = "Equilibrium step dynamics on vicinal surfaces",

abstract = "The time τ necessary for the formation of bumps due to thermal fluctuations on steps of vicinal surfaces is evaluated in various relevant cases. Formulae already derived by Mullins and Bales and Zangwill and other expressions recently published by Bartelt et al., are found as special cases. For Si(111) at 900°C we predict that τ is proportional to the step-step separation l and to the square of the fluctuation wavelength L. This prediction is found to be in reasonable agreement with direct experimental observations of equilibrium step fluctuations.",

author = "A. Pimpinelli and J. Villain and Wolf, {D. E.} and M{\'e}tois, {J. J.} and Heyraud, {J. C.} and I. Elkinani and G. Uimin",

note = "Funding Information: The authorsa re deeply grateful to Prof. Ellen Williams for informing them on her group{\textquoteright}s un-publishedw ork. D.E.W. gratefully acknowledges financial support from the DFG within SFB 166. He also would like to thank the DRFMC of the CEN Grenoble for its hospitalityd uring several visits. A.P. wishest o acknowledgef inancial support from the CEE under contract Science 915190. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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doi = "10.1016/0039-6028(93)90190-U",

language = "English (US)",

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pages = "143--153",

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T1 - Equilibrium step dynamics on vicinal surfaces

AU - Pimpinelli, A.

AU - Villain, J.

AU - Wolf, D. E.

AU - Métois, J. J.

AU - Heyraud, J. C.

AU - Elkinani, I.

AU - Uimin, G.

N1 - Funding Information: The authorsa re deeply grateful to Prof. Ellen Williams for informing them on her group’s un-publishedw ork. D.E.W. gratefully acknowledges financial support from the DFG within SFB 166. He also would like to thank the DRFMC of the CEN Grenoble for its hospitalityd uring several visits. A.P. wishest o acknowledgef inancial support from the CEE under contract Science 915190. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1993/9/20

Y1 - 1993/9/20

N2 - The time τ necessary for the formation of bumps due to thermal fluctuations on steps of vicinal surfaces is evaluated in various relevant cases. Formulae already derived by Mullins and Bales and Zangwill and other expressions recently published by Bartelt et al., are found as special cases. For Si(111) at 900°C we predict that τ is proportional to the step-step separation l and to the square of the fluctuation wavelength L. This prediction is found to be in reasonable agreement with direct experimental observations of equilibrium step fluctuations.

AB - The time τ necessary for the formation of bumps due to thermal fluctuations on steps of vicinal surfaces is evaluated in various relevant cases. Formulae already derived by Mullins and Bales and Zangwill and other expressions recently published by Bartelt et al., are found as special cases. For Si(111) at 900°C we predict that τ is proportional to the step-step separation l and to the square of the fluctuation wavelength L. This prediction is found to be in reasonable agreement with direct experimental observations of equilibrium step fluctuations.

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U2 - 10.1016/0039-6028(93)90190-U

DO - 10.1016/0039-6028(93)90190-U

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VL - 295

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EP - 153

JO - Surface Science

JF - Surface Science

IS - 1-2

ER -

Equilibrium step dynamics on vicinal surfaces

Abstract

ASJC Scopus subject areas

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