Statistical Theoretical Model of Dynamical Bragg Diffraction in a Two-Layer Crystalline System with an Amorphous Surface Layer

S. V. Dmitriev$^{1}$, S. V. Lizunova$^{1}$, M. G. Tolmachev$^{2}$, B. V. Sheludchenko$^{1}$, O. S. Skakunova$^{1}$, V. B. Molodkin$^{1}$, V. V. Lizunov$^{1}$, I. E. Golentus$^{1}$, A. G. Karpov$^{2}$, O. G. Voitok$^{2}$, V. P. Pochekuev$^{2}$, S. P. Repetsky$^{3}$, I. G. Vyshyvana$^{3}$, L. M. Skapa$^{1}$, O. V. Barabash$^{3}$, G. O. Velikhovskii$^{1}$

$^{1}$G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^{2}$LLC ‘Centre of Advanced Diagnostics’, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^{3}$Taras Shevchenko National University of Kyiv, 60 Volodymyrska Str., UA-01033 Kyiv, Ukraine

Received: 04.09.2017. Download: PDF

For the goal of the creating of statistical dynamical theory of x-ray scattering in multilayer systems of crystalline and amorphous layers with differences in both the structure imperfections and the composition, as a main element of such a theory, the generalized theoretical model of coherent scattering in two-layer crystalline system with amorphous subsurface layer and statistically distributed Coulomb-type defects in each layer is developed. The expressions for coherent component of mentioned-system reflectivity are obtained using two methods: the method of amplitudes’ summation and the method of boundary conditions. That allows revealing and describing the mechanism of intensity formation due to effects of multiple scattering.

Key words: dynamical diffraction, multiple scattering, amorphous surface layer.

URL: http://mfint.imp.kiev.ua/en/abstract/v39/i12/1669.html

DOI: https://doi.org/10.15407/mfint.39.12.1669

PACS:

Citation: S. V. Dmitriev, S. V. Lizunova, M. G. Tolmachev, B. V. Sheludchenko, O. S. Skakunova, V. B. Molodkin, V. V. Lizunov, I. E. Golentus, A. G. Karpov, O. G. Voitok, V. P. Pochekuev, S. P. Repetsky, I. G. Vyshyvana, L. M. Skapa, O. V. Barabash, and G. O. Velikhovskii, Statistical Theoretical Model of Dynamical Bragg Diffraction in a Two-Layer Crystalline System with an Amorphous Surface Layer, Metallofiz. Noveishie Tekhnol., 39, No. 12: 1669—1691 (2017) (in Ukrainian)


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