Study of the grazingincidence Xray scattering of strongly disturbed fractal surfaces
Abstract
The applicability of different approaches to the description of hard Xray scattering from rough surfaces is generally limited by a maximum surface roughness height of no more than 1 nm. Meanwhile, this value is several times larger for the surfaces of different materials subjected to treatment, especially in the initial treatment stages. To control the roughness parameters in all stages of surface treatment, a new approach has been developed, which is based on a series expansion of wavefield over the plane eigenstatefunction waves describing the smallangle scattering of incident Xrays in terms of plane qwaves propagating through the interface between two media with a random function of relief heights. To determine the amplitudes of reflected and transmitted plane qwaves, a system of two linked integral equations was derived. The solutions to these equations correspond (in zero order) to the wellknown Fresnel expressions for a smooth plane interface. Based on these solutions, a statistical fractal model of an isotropic rough interface is built in terms of rootmeansquare roughness σ, twopoint correlation length l, and fractal surface index h. The model is used to interpret Xray scattering data for polished surfaces of singlecrystal cadmium telluride samples.
 Authors:
 Russian Academy of Sciences, Shubnikov Institute of Crystallography, Federal Research Centre “Crystallography and Photonics” (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22645189
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Crystallography Reports; Journal Volume: 62; Journal Issue: 2; Other Information: Copyright (c) 2017 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CADMIUM TELLURIDES; HARD X RADIATION; INTEGRAL EQUATIONS; MONOCRYSTALS; ROUGHNESS; SERIES EXPANSION; SMALL ANGLE SCATTERING; SURFACE TREATMENTS; XRAY DIFFRACTION
Citation Formats
Roshchin, B. S., Email: ross@crys.ras.ru, Chukhovsky, F. N., Pavlyuk, M. D., Opolchentsev, A. M., and Asadchikov, V. E. Study of the grazingincidence Xray scattering of strongly disturbed fractal surfaces. United States: N. p., 2017.
Web. doi:10.1134/S1063774517010205.
Roshchin, B. S., Email: ross@crys.ras.ru, Chukhovsky, F. N., Pavlyuk, M. D., Opolchentsev, A. M., & Asadchikov, V. E. Study of the grazingincidence Xray scattering of strongly disturbed fractal surfaces. United States. doi:10.1134/S1063774517010205.
Roshchin, B. S., Email: ross@crys.ras.ru, Chukhovsky, F. N., Pavlyuk, M. D., Opolchentsev, A. M., and Asadchikov, V. E. Wed .
"Study of the grazingincidence Xray scattering of strongly disturbed fractal surfaces". United States.
doi:10.1134/S1063774517010205.
@article{osti_22645189,
title = {Study of the grazingincidence Xray scattering of strongly disturbed fractal surfaces},
author = {Roshchin, B. S., Email: ross@crys.ras.ru and Chukhovsky, F. N. and Pavlyuk, M. D. and Opolchentsev, A. M. and Asadchikov, V. E.},
abstractNote = {The applicability of different approaches to the description of hard Xray scattering from rough surfaces is generally limited by a maximum surface roughness height of no more than 1 nm. Meanwhile, this value is several times larger for the surfaces of different materials subjected to treatment, especially in the initial treatment stages. To control the roughness parameters in all stages of surface treatment, a new approach has been developed, which is based on a series expansion of wavefield over the plane eigenstatefunction waves describing the smallangle scattering of incident Xrays in terms of plane qwaves propagating through the interface between two media with a random function of relief heights. To determine the amplitudes of reflected and transmitted plane qwaves, a system of two linked integral equations was derived. The solutions to these equations correspond (in zero order) to the wellknown Fresnel expressions for a smooth plane interface. Based on these solutions, a statistical fractal model of an isotropic rough interface is built in terms of rootmeansquare roughness σ, twopoint correlation length l, and fractal surface index h. The model is used to interpret Xray scattering data for polished surfaces of singlecrystal cadmium telluride samples.},
doi = {10.1134/S1063774517010205},
journal = {Crystallography Reports},
number = 2,
volume = 62,
place = {United States},
year = {Wed Mar 15 00:00:00 EDT 2017},
month = {Wed Mar 15 00:00:00 EDT 2017}
}

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