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Title: Dynamical scattering in coherent hard x-ray nanobeam Bragg diffraction

Abstract

Unique intensity features arising from dynamical diffraction arise in coherent x-ray nanobeam diffraction patterns of crystals having thicknesses larger than the x-ray extinction depth or exhibiting combinations of nanoscale and mesoscale features. We demonstrate that dynamical scattering effects can be accurately predicted using an optical model combined with the Darwin theory of dynamical x-ray diffraction. The model includes the highly divergent coherent x-ray nanobeams produced by Fresnel zone plate focusing optics and accounts for primary extinction, multiple scattering, and absorption. Furthermore, the simulation accurately reproduces the dynamical scattering features of experimental diffraction patterns acquired from a GaAs/AlGaAs epitaxial heterostructure on a GaAs (001) substrate.

Authors:
 [1];  [1];  [1];  [1];  [2];  [1];  [1];  [1]
  1. Univ. of Wisconsin, Madison, WI (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1481739
Alternate Identifier(s):
OSTI ID: 1441105
Grant/Contract Number:  
AC02-06CH11357; FG02-04ER46147
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Pateras, A., Park, J., Ahn, Y., Tilka, J. A., Holt, M. V., Kim, H., Mawst, L. J., and Evans, P. G. Dynamical scattering in coherent hard x-ray nanobeam Bragg diffraction. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.235414.
Pateras, A., Park, J., Ahn, Y., Tilka, J. A., Holt, M. V., Kim, H., Mawst, L. J., & Evans, P. G. Dynamical scattering in coherent hard x-ray nanobeam Bragg diffraction. United States. https://doi.org/10.1103/PhysRevB.97.235414
Pateras, A., Park, J., Ahn, Y., Tilka, J. A., Holt, M. V., Kim, H., Mawst, L. J., and Evans, P. G. Mon . "Dynamical scattering in coherent hard x-ray nanobeam Bragg diffraction". United States. https://doi.org/10.1103/PhysRevB.97.235414. https://www.osti.gov/servlets/purl/1481739.
@article{osti_1481739,
title = {Dynamical scattering in coherent hard x-ray nanobeam Bragg diffraction},
author = {Pateras, A. and Park, J. and Ahn, Y. and Tilka, J. A. and Holt, M. V. and Kim, H. and Mawst, L. J. and Evans, P. G.},
abstractNote = {Unique intensity features arising from dynamical diffraction arise in coherent x-ray nanobeam diffraction patterns of crystals having thicknesses larger than the x-ray extinction depth or exhibiting combinations of nanoscale and mesoscale features. We demonstrate that dynamical scattering effects can be accurately predicted using an optical model combined with the Darwin theory of dynamical x-ray diffraction. The model includes the highly divergent coherent x-ray nanobeams produced by Fresnel zone plate focusing optics and accounts for primary extinction, multiple scattering, and absorption. Furthermore, the simulation accurately reproduces the dynamical scattering features of experimental diffraction patterns acquired from a GaAs/AlGaAs epitaxial heterostructure on a GaAs (001) substrate.},
doi = {10.1103/PhysRevB.97.235414},
journal = {Physical Review B},
number = 23,
volume = 97,
place = {United States},
year = {Mon Jun 11 00:00:00 EDT 2018},
month = {Mon Jun 11 00:00:00 EDT 2018}
}

Journal Article:

Citation Metrics:
Cited by: 6 works
Citation information provided by
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Figures / Tables:

FIG. 1 FIG. 1: (a) Crystal-thickness dependence of the angular full-width at half maximum (FWHM) of the GaAs (004) reflection in (blue) kinematical and (black) dynamical theory calculations. Dashed red and green lines indicate the thickness corresponding to the x-ray extinction depth and the Darwin width, respectively. (b) Crystal-thickness dependence of themore » peak reflectivity of the GaAs (004) reflection in kinematical and (black) dynamical calculations. Dashed red and orange lines indicate the thickness corresponding to the x-ray extinction depth and unity reflectivity, respectively.« less

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Works referenced in this record:

High-Resolution Scanning X-ray Diffraction Microscopy
journal, July 2008


Elements of Modern X-ray Physics
book, March 2011


Compositional dependence of the elastic constants and the lattice parameter of Al x Ga 1 x As
journal, October 1999


Nanometer focusing of hard x rays by phase zone plates
journal, May 1999

  • Yun, W.; Lai, B.; Cai, Z.
  • Review of Scientific Instruments, Vol. 70, Issue 5
  • DOI: 10.1063/1.1149744

Characterization of Pixirad-1 photon counting detector for X-ray imaging
journal, January 2016


Darwin theory of heterostructure diffraction
journal, April 1995


X-Ray Intensity Fluctuation Spectroscopy Observations of Critical Dynamics in Fe3Al
journal, March 1995


High-resolution three-dimensional structural microscopy by single-angle Bragg ptychography
journal, November 2016

  • Hruszkewycz, S. O.; Allain, M.; Holt, M. V.
  • Nature Materials, Vol. 16, Issue 2
  • DOI: 10.1038/nmat4798

Mesoscopic Elastic Distortions in GaAs Quantum Dot Heterostructures
journal, April 2018


Dynamical effects in Bragg coherent x-ray diffraction imaging of finite crystals
journal, August 2017


Nanoscale Hard X-Ray Microscopy Methods for Materials Studies
journal, July 2013


Demonstration of 12 nm Resolution Fresnel Zone Plate Lens based Soft X-ray Microscopy
journal, January 2009

  • Chao, Weilun; Kim, Jihoon; Rekawa, Senajith
  • Optics Express, Vol. 17, Issue 20
  • DOI: 10.1364/OE.17.017669

Modeling of kinematic diffraction from a thin silicon film illuminated by a coherent, focused X-ray nanobeam
journal, April 2010

  • Ying, Andrew; Osting, Braxton; Noyan, I. C.
  • Journal of Applied Crystallography, Vol. 43, Issue 3
  • DOI: 10.1107/S0021889810008459

Reconstruction of the Shapes of Gold Nanocrystals Using Coherent X-Ray Diffraction
journal, October 2001


Combining experiment and optical simulation in coherent X-ray nanobeam characterization of Si/SiGe semiconductor heterostructures
journal, July 2016

  • Tilka, J. A.; Park, J.; Ahn, Y.
  • Journal of Applied Physics, Vol. 120, Issue 1
  • DOI: 10.1063/1.4955043

Dynamical Diffraction of X Rays by Perfect Crystals
journal, July 1964


Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm
journal, July 2004


Dynamic diffraction artefacts in Bragg coherent diffractive imaging
journal, February 2018


Bragg–Laue X-ray dynamical diffraction on perfect and deformed lateral crystalline structures
journal, July 2016

  • Punegov, Vasily I.; Kolosov, Sergey I.; Pavlov, Konstantin M.
  • Journal of Applied Crystallography, Vol. 49, Issue 4
  • DOI: 10.1107/S1600576716008396

Nondestructive three-dimensional imaging of crystal strain and rotations in an extended bonded semiconductor heterostructure
journal, November 2015


Dynamical treatment of X-ray reflection from crystal surfaces
journal, May 1994


Characterization of high-resolution diffractive X-ray optics by ptychographic coherent diffractive imaging
journal, January 2011

  • Vila-Comamala, Joan; Diaz, Ana; Guizar-Sicairos, Manuel
  • Optics Express, Vol. 19, Issue 22
  • DOI: 10.1364/OE.19.021333

Works referencing / citing this record:

Electrode-induced lattice distortions in GaAs multi-quantum-dot arrays
journal, March 2019

  • Pateras, Anastasios; Carnis, Jérôme; Mukhopadhyay, Uditendu
  • Journal of Materials Research, Vol. 34, Issue 08
  • DOI: 10.1557/jmr.2019.61

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.