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About non-Gaussian behaviour of the Debye-Waller factor at largescattering vectors

Published online by Cambridge University Press:  03 September 2003

I. D. Feranchuk ,
A. A. Minkevich  and
A. P. Ulyanenkov
I. D. Feranchuk
Affiliation:
Byelorussian State University, F. Skariny Av. 4, 220050 Minsk, Republic of Belarus
A. A. Minkevich
Affiliation:
Byelorussian State University, F. Skariny Av. 4, 220050 Minsk, Republic of Belarus
A. P. Ulyanenkov*
Affiliation:
Bruker AXS, Östl. Rheinbrückenstr. 50, 76187 Karlsruhe, Germany
*
[email protected]
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Abstract

The modified expression for Debye-Waller factor is derived for the scattering of X-rays from rough surfaces and interfaces. For the large values of scattering vector, the non-Gaussian behaviour of this factor is predicted. This effect can be essential for interpretation of X-ray reflectivity from very rough surfaces and high-order X-ray diffraction data. The experimental X-ray reflectivity measurements are interpreted using the derived expression.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 24 , Issue 1 , October 2003 , pp. 21 - 26
Copyright
© EDP Sciences, 2003

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References

Dietrich, S., Haase, A., Phys. Rep. 260, 1 (1995) CrossRef
U. Pietsch, V. Holy, T. Baumbach, High Resolution X-Ray Scattering from Thin Films and Multilayers (Springer Verlag, Heidelberg, 1999)
Parratt, L.G., Phys. Rev. 95, 359 (1954) CrossRef
R.W. James, The Optical Principles of the Diffraction of X-rays (Ox Bow Press, 1962)
J.M. Ziman, Principles of the Theory of Solids (University Press, Cambridge, 1962)
Sinha, S.K., Sirota, E.V., Garoff, S., Stanley, H.B., Phys. Rev. B 38, 2297 (1988) CrossRef
Nevot, L., Croce, P., Rev. Phys. Appl. 15, 761 (1980) CrossRef
Hamilton, W.A., Pynn, R., Physica B 173, 71 (1991) CrossRef
Catiha, A., Phys. Rev. B 52, 9214 (1995) CrossRef
I.S. Gradshtein, I.M. Ryzhik, Tables of Inregrals, Sums, Serieses and Products (``Nauka", Moscow, 1971)
International Tables for Crystallography, Vol. C (Kluwer Academic Publisher, Dordrecht, 1992)
P. Brüesch, Phonons: Theory and Experiments (Springer-Verlag, Berlin, 1987)