Direct solutions of the Si(111) 7 × 7 structure

C. J. Gilmore; L. D. Marks; D. Grozea; C. Collazo; E. Landree; R. D. Twesten

doi:10.1016/S0039-6028(97)00062-9

Direct solutions of the Si(111) 7 × 7 structure

C. J. Gilmore^*, L. D. Marks, D. Grozea, C. Collazo, E. Landree, R. D. Twesten

^*Corresponding author for this work

CCSS - Center for Catalysis and Surface Science

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

43 Scopus citations

Abstract

We show that it is possible to use direct methods to solve surface structures as complicated as that of the Si(111) 7 × 7. The first of these methods is maximum entropy combined with likelihood estimation, the second a combination of symbolic phasing methods and weakly interpolating modifications of the Sayre equation. These techniques are applied to two different elements of the structure determination, namely ab initio structure determination solely from diffraction intensity data and phase extension from a set of known phases derived from high resolution images.

Original language	English (US)
Pages (from-to)	77-91
Number of pages	15
Journal	Surface Science
Volume	381
Issue number	2-3
DOIs	https://doi.org/10.1016/S0039-6028(97)00062-9
State	Published - Jun 10 1997

Funding

C.J.G. acknowledges support from the EPSRC in the UK, from the Human Frontier Science Program and Eastman-Kodak, Rochester USA. L.D.M., D.G., C.C. and E.L. acknowledge support by the National Science Foundation on grant number DMR-9214505.

Keywords

Adatoms
Diffraction
Electron-solid interactions
High index single crystal surfaces
Scattering
Single crystal surfaces; surface relaxation and reconstruction
Transmission high-energy electron diffraction

ASJC Scopus subject areas

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

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10.1016/S0039-6028(97)00062-9

Cite this

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title = "Direct solutions of the Si(111) 7 × 7 structure",

abstract = "We show that it is possible to use direct methods to solve surface structures as complicated as that of the Si(111) 7 × 7. The first of these methods is maximum entropy combined with likelihood estimation, the second a combination of symbolic phasing methods and weakly interpolating modifications of the Sayre equation. These techniques are applied to two different elements of the structure determination, namely ab initio structure determination solely from diffraction intensity data and phase extension from a set of known phases derived from high resolution images.",

keywords = "Adatoms, Diffraction, Electron-solid interactions, High index single crystal surfaces, Scattering, Single crystal surfaces; surface relaxation and reconstruction, Transmission high-energy electron diffraction",

author = "Gilmore, {C. J.} and Marks, {L. D.} and D. Grozea and C. Collazo and E. Landree and Twesten, {R. D.}",

note = "Funding Information: C.J.G. acknowledges support from the EPSRC in the UK, from the Human Frontier Science Program and Eastman-Kodak, Rochester USA. L.D.M., D.G., C.C. and E.L. acknowledge support by the National Science Foundation on grant number DMR-9214505.",

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doi = "10.1016/S0039-6028(97)00062-9",

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pages = "77--91",

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T1 - Direct solutions of the Si(111) 7 × 7 structure

AU - Gilmore, C. J.

AU - Marks, L. D.

AU - Grozea, D.

AU - Collazo, C.

AU - Landree, E.

AU - Twesten, R. D.

N1 - Funding Information: C.J.G. acknowledges support from the EPSRC in the UK, from the Human Frontier Science Program and Eastman-Kodak, Rochester USA. L.D.M., D.G., C.C. and E.L. acknowledge support by the National Science Foundation on grant number DMR-9214505.

PY - 1997/6/10

Y1 - 1997/6/10

N2 - We show that it is possible to use direct methods to solve surface structures as complicated as that of the Si(111) 7 × 7. The first of these methods is maximum entropy combined with likelihood estimation, the second a combination of symbolic phasing methods and weakly interpolating modifications of the Sayre equation. These techniques are applied to two different elements of the structure determination, namely ab initio structure determination solely from diffraction intensity data and phase extension from a set of known phases derived from high resolution images.

AB - We show that it is possible to use direct methods to solve surface structures as complicated as that of the Si(111) 7 × 7. The first of these methods is maximum entropy combined with likelihood estimation, the second a combination of symbolic phasing methods and weakly interpolating modifications of the Sayre equation. These techniques are applied to two different elements of the structure determination, namely ab initio structure determination solely from diffraction intensity data and phase extension from a set of known phases derived from high resolution images.

KW - Adatoms

KW - Diffraction

KW - Electron-solid interactions

KW - High index single crystal surfaces

KW - Scattering

KW - Single crystal surfaces; surface relaxation and reconstruction

KW - Transmission high-energy electron diffraction

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SP - 77

EP - 91

JO - Surface Science

JF - Surface Science

IS - 2-3

ER -

Direct solutions of the Si(111) 7 × 7 structure

Abstract

Funding

Keywords

ASJC Scopus subject areas

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