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Title: Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction

Abstract

Coherent x-ray diffraction (CXD) is a technique which utilizes the favorable coherence properties of an x-ray beam to collect three-dimensional (3D) diffraction data from which the 3D shape of a sample can be determined. The shape of the sample is found by reconstructing the phase of the diffracted wave in the far field using iterative techniques and recognizing the relationship between this complex amplitude and the sample's electron density. We describe the experimental procedure for measuring CXD near a high-angle Bragg peak from a small crystal and report the 3D shape information recovered by overcoming the so-called phase problem. We also describe the reconstruction procedure, including some difficulties encountered therein and the steps taken to ameliorate these problems. In the final reconstruction of the electron density we observe nanometer-scale density variation within the crystal that we attribute to deformation.

Authors:
; ; ;  [1]
  1. Department of Physics, University of Illinois, Urbana, Illinois 61801 (United States)
Publication Date:
OSTI Identifier:
20787953
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 73; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevB.73.094112; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AMPLITUDES; BRAGG CURVE; CRYSTAL STRUCTURE; CRYSTALS; DEFORMATION; DENSITY; ELECTRON DENSITY; GOLD; ITERATIVE METHODS; VARIATIONS; X-RAY DIFFRACTION

Citation Formats

Williams, G. J., Pfeifer, M. A., Vartanyants, I. A., and Robinson, I. K. Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.73.0.
Williams, G. J., Pfeifer, M. A., Vartanyants, I. A., & Robinson, I. K. Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction. United States. doi:10.1103/PHYSREVB.73.0.
Williams, G. J., Pfeifer, M. A., Vartanyants, I. A., and Robinson, I. K. Wed . "Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction". United States. doi:10.1103/PHYSREVB.73.0.
@article{osti_20787953,
title = {Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction},
author = {Williams, G. J. and Pfeifer, M. A. and Vartanyants, I. A. and Robinson, I. K.},
abstractNote = {Coherent x-ray diffraction (CXD) is a technique which utilizes the favorable coherence properties of an x-ray beam to collect three-dimensional (3D) diffraction data from which the 3D shape of a sample can be determined. The shape of the sample is found by reconstructing the phase of the diffracted wave in the far field using iterative techniques and recognizing the relationship between this complex amplitude and the sample's electron density. We describe the experimental procedure for measuring CXD near a high-angle Bragg peak from a small crystal and report the 3D shape information recovered by overcoming the so-called phase problem. We also describe the reconstruction procedure, including some difficulties encountered therein and the steps taken to ameliorate these problems. In the final reconstruction of the electron density we observe nanometer-scale density variation within the crystal that we attribute to deformation.},
doi = {10.1103/PHYSREVB.73.0},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 9,
volume = 73,
place = {United States},
year = {Wed Mar 01 00:00:00 EST 2006},
month = {Wed Mar 01 00:00:00 EST 2006}
}