Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-02T21:59:12.721Z Has data issue: false hasContentIssue false

Surface Roughness and Correlation Length Determined from X-Ray Diffraction Line Shape Analysis on Germanium (111)

Published online by Cambridge University Press:  21 February 2011

Q. Shen
Affiliation:
School of Applied and Engineering Physics Cornell University, Ithaca, NY 14853
J. M. Blakely
Affiliation:
Also at Department of Materials Science and Engineering
M. J. Bedzyk
Affiliation:
Also at Cornell High Energy Synchrotron Source (CHESS)
K. D. Finkelstein
Affiliation:
Also at Cornell High Energy Synchrotron Source (CHESS)
Get access

Abstract

In an x-ray diffraction experiment performed on a germanium (111) crystal, both the rod-like and the diffuse-like scattering from the surface have been observed on a nonspecular crystal truncation rod. These scattering contributions can be explained using existing theory on surface roughness. Two treatments to the Ge (111) surface have been used to provide examples with different roughness characteristics for this study. Quantitative analysis results in a surface roughness of 2.5+0.3Å for a clean surface passivated with iodine and 4.3+0.5Å for a Syton polished surface covered with a naturally grown oxide layer. A typical lateral scale of flat surface regions has also been obtained from the transverse width of the diffuse-like scattering peak, and found to be 200 A and 400 Å respectively.

Type
Research Article
Copyright
Copyright © Materials Research Society 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Eisenberger, P.M. and Marra, W.C., Phys. Rev. Lett. 46, 1081 (1981); I.K. Robinson, Phys. Rev. Lett. 50, 1154 (1983).CrossRefGoogle Scholar
2. Feidenhans'l, R., Pedersen, J.S., Nielson, M., Grey, F. and Johnson, R.L., Surf. Sci. 178, 927 (1986).Google Scholar
3. Andrews, S.R. and Cowley, R.A., J. Phys. C 18, 6427 (1985).CrossRefGoogle Scholar
4. Robinson, I.K., Phys. Rev. B 33, 3830 (1986).CrossRefGoogle Scholar
5. Sinha, S.K., Sirota, E.B., Garoff, S. and Stanley, H.B., Phys. Rev. B 38, 2297 (1988).Google Scholar
6. Korte, P.A.J., de and Laine, R., Appl. Opt. 18, 236 (1979).Google Scholar
7. Church, E.L., Proc. Soc. Photo-opt. Instr. Eng. 184, 196 (1979).Google Scholar
8. Bilderback, D.H., Proc. Soc. Photo-Opt. Instr. Eng. 315, 90 (1981).Google Scholar
9. Pershan, P.S. and Als-Nielsen, J., Phys. Rev. Lett. 52, 759 (1984).CrossRefGoogle Scholar
10. Matsushita, T., Ishikawa, I. and Kohra, K., J. Appl. Cryst. 17, 257 (1984).Google Scholar
11. Hogrefe, H. and Kunz, C., Appl. Opt. 26, 2851 (1987).CrossRefGoogle Scholar
12. Held, G.A., Jordan-Sweet, J.L., Horn, P.M., Mak, A. and Birgeneau, R.J., Phys. Rev. Lett. 59, 2075 (1987).Google Scholar
13. Aspnes, D.E. and Studna, A.A., Proc. Soc. Photo-Opt. Instr. Eng. 276, 227 (1981).Google Scholar
14. Strictly speaking, this separation between the structure factors and the statistical roughness is true for Case B only if the iodine coverage is independent of surface height and, therefore, of the lateral positionr. We believe this is a reasonable assumption for relatively flat surfaces.Google Scholar
15. Liang, K.S., Sirota, E.B., D'Amico, K.L., Hughes, G.J. and Sinha, S.K., Phys. Rev. Lett. 59, 2447 (1987).Google Scholar