Dynamical effects in Bragg coherent x-ray diffraction imaging of finite crystals

A. G. Shabalin, O. M. Yefanov, V. L. Nosik, V. A. Bushuev, and I. A. Vartanyants
Phys. Rev. B 96, 064111 – Published 21 August 2017

Abstract

We present simulations of Bragg coherent x-ray diffractive imaging (CXDI) data from finite crystals in the frame of the dynamical theory of x-ray diffraction. The developed approach is based on a numerical solution of modified Takagi-Taupin equations and can be applied for modeling of a broad range of x-ray diffraction experiments with finite three-dimensional crystals of arbitrary shape also in the presence of strain. We performed simulations for nanocrystals of a cubic and hemispherical shape of different sizes and provided a detailed analysis of artifacts in the Bragg CXDI reconstructions introduced by the dynamical diffraction. Based on our theoretical analysis we developed an analytical procedure to treat effects of refraction and absorption in the reconstruction. Our results elucidate limitations for the kinematical approach in the Bragg CXDI and suggest a natural criterion to distinguish between kinematical and dynamical cases in coherent x-ray diffraction on a finite crystal.

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  • Received 12 March 2017
  • Revised 3 June 2017

DOI:https://doi.org/10.1103/PhysRevB.96.064111

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

A. G. Shabalin1,*, O. M. Yefanov1,2, V. L. Nosik3,4, V. A. Bushuev5, and I. A. Vartanyants1,4,†

  • 1Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, D-22607 Hamburg, Germany
  • 2Center for Free-Electron Laser Science, DESY, Notkestr. 85, 22607 Hamburg, Germany
  • 3FSRC “Crystallography and Photonics”, Russian Academy of Sciences, Leninskii pr. 59, 119333 Moscow, Russia
  • 4National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe shosse 31, 115409 Moscow, Russia
  • 5M. V. Lomonosov Moscow State University, 119991 GSP-1 Moscow, Russia

  • *Present address: University of California - San Diego, La Jolla, California 92093, USA.
  • Corresponding author: ivan.vartaniants@desy.de

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Issue

Vol. 96, Iss. 6 — 1 August 2017

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