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Title: Phase modulation due to crystal diffraction by ptychographic imaging

Abstract

Solving the phase problem in x-ray crystallography has occupied a considerable scientific effort in the 20th century and led to great advances in structural science. Here we use x-ray ptychography to demonstrate an interference method which measures the phase of the beam transmitted through a crystal, relative to the incoming beam, when diffraction takes place. The observed phase change of the direct beam through a small gold crystal is found to agree with both a quasikinematical model and full dynamical theories of diffraction. Our discovery of a diffraction contrast mechanism will enhance the interpretation of data obtained from crystalline samples using the ptychography method, which provides some of the most accurate x-ray phase-contrast images.

Authors:
; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. College, London (United Kingdom)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Engineering and Physical Sciences Research Council (EPSRC)
OSTI Identifier:
1423915
Alternate Identifier(s):
OSTI ID: 1425087
Report Number(s):
BNL-203280-2018-JAAM
Journal ID: ISSN 2469-9950; PRBMDO; 104101
Grant/Contract Number:  
SC0012704; EP/I022562/1
Resource Type:
Published Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 97 Journal Issue: 10; 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; crystal phenomena; crystal structure; nanocrystals; coherent x-ray scattering; crystallography; x-ray diffraction; x-ray imaging; x-ray standing waves

Citation Formats

Civita, M., Diaz, A., Bean, R. J., Shabalin, A. G., Gorobtsov, O. Yu., Vartanyants, I. A., and Robinson, I. K. Phase modulation due to crystal diffraction by ptychographic imaging. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.104101.
Civita, M., Diaz, A., Bean, R. J., Shabalin, A. G., Gorobtsov, O. Yu., Vartanyants, I. A., & Robinson, I. K. Phase modulation due to crystal diffraction by ptychographic imaging. United States. doi:10.1103/PhysRevB.97.104101.
Civita, M., Diaz, A., Bean, R. J., Shabalin, A. G., Gorobtsov, O. Yu., Vartanyants, I. A., and Robinson, I. K. Tue . "Phase modulation due to crystal diffraction by ptychographic imaging". United States. doi:10.1103/PhysRevB.97.104101.
@article{osti_1423915,
title = {Phase modulation due to crystal diffraction by ptychographic imaging},
author = {Civita, M. and Diaz, A. and Bean, R. J. and Shabalin, A. G. and Gorobtsov, O. Yu. and Vartanyants, I. A. and Robinson, I. K.},
abstractNote = {Solving the phase problem in x-ray crystallography has occupied a considerable scientific effort in the 20th century and led to great advances in structural science. Here we use x-ray ptychography to demonstrate an interference method which measures the phase of the beam transmitted through a crystal, relative to the incoming beam, when diffraction takes place. The observed phase change of the direct beam through a small gold crystal is found to agree with both a quasikinematical model and full dynamical theories of diffraction. Our discovery of a diffraction contrast mechanism will enhance the interpretation of data obtained from crystalline samples using the ptychography method, which provides some of the most accurate x-ray phase-contrast images.},
doi = {10.1103/PhysRevB.97.104101},
journal = {Physical Review B},
number = 10,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.97.104101

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Works referenced in this record:

Direct phase determination of large macromolecular crystals using three-beam x-ray interference
journal, November 1991


A phase retrieval algorithm for shifting illumination
journal, November 2004

  • Rodenburg, J. M.; Faulkner, H. M. L.
  • Applied Physics Letters, Vol. 85, Issue 20
  • DOI: 10.1063/1.1823034

Reconstructing state mixtures from diffraction measurements
journal, February 2013


A novel self-seeding scheme for hard X-ray FELs
journal, September 2011


Quantitative x-ray phase nanotomography
journal, January 2012


Phase observation in an organic crystal (benzil: C 14 H 10 O 2 ) using long-wavelength X-rays
journal, January 1988

  • Shen, Q.; Colella, R.
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 44, Issue 1
  • DOI: 10.1107/S010876738700713X

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

  • Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
  • Nature, Vol. 400, Issue 6742
  • DOI: 10.1038/22498

A Dynamical Theory of Diffraction for a Distorted Crystal
journal, May 1969

  • Takagi, Satio
  • Journal of the Physical Society of Japan, Vol. 26, Issue 5
  • DOI: 10.1143/JPSJ.26.1239

Solving the Phase Problem Using Reference-Beam X-Ray Diffraction
journal, April 1998


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


Efficient subpixel image registration algorithms
journal, January 2008

  • Guizar-Sicairos, Manuel; Thurman, Samuel T.; Fienup, James R.
  • Optics Letters, Vol. 33, Issue 2
  • DOI: 10.1364/OL.33.000156

Investigation of the Phase Shift in X-Ray Forward Diffraction Using an X-Ray Interferometer
journal, May 1996


X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92
journal, July 1993

  • Henke, B. L.; Gullikson, E. M.; Davis, J. C.
  • Atomic Data and Nuclear Data Tables, Vol. 54, Issue 2, p. 181-342
  • DOI: 10.1006/adnd.1993.1013

The probability distribution of the magnitude of a structure factor. II. The non-centrosymmetric crystal
journal, February 1953


Invariant-Phase Information of X-Ray Structure Factors in the Two-Beam Bragg Intensity near a Three-Beam Point
journal, May 1982


Theory of Imaging a Perfect Crystal under the Conditions of X-Ray Spherical Wave Dynamical Diffraction
journal, November 2000


Multiple-Beam X-ray Diffraction for Physical Determination of Reflection Phases and its Applications
journal, March 1997

  • Weckert, E.; Hümmer, K.
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 53, Issue 2
  • DOI: 10.1107/S0108767396011117

Phase tomography from x-ray coherent diffractive imaging projections
journal, January 2011

  • Guizar-Sicairos, Manuel; Diaz, Ana; Holler, Mirko
  • Optics Express, Vol. 19, Issue 22
  • DOI: 10.1364/OE.19.021345

Ptychographic coherent diffractive imaging of weakly scattering specimens
journal, March 2010


Ptychographic X-ray computed tomography at the nanoscale
journal, September 2010

  • Dierolf, Martin; Menzel, Andreas; Thibault, Pierre
  • Nature, Vol. 467, Issue 7314
  • DOI: 10.1038/nature09419

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


Procedures for cryogenic X-ray ptychographic imaging of biological samples
journal, January 2017


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

Characterization and Calibration of PILATUS Detectors
journal, June 2009

  • Kraft, P.; Bergamaschi, A.; Bronnimann, Ch.
  • IEEE Transactions on Nuclear Science, Vol. 56, Issue 3
  • DOI: 10.1109/TNS.2008.2009448

Maximum entropy and the foundations of direct methods
journal, July 1984

  • Bricogne, G.
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 40, Issue 4
  • DOI: 10.1107/S0108767384000866

Cryo-scanning x-ray diffraction microscopy of frozen-hydrated yeast: CRYO-SCANNING X-RAY DIFFRACTION MICROSCOPY
journal, December 2012


Phase of transmitted wave in dynamical theory and quasi-kinematical approximation
journal, May 2016


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


Hard-X-Ray Lensless Imaging of Extended Objects
journal, January 2007


Quantitative comparison of direct phase retrieval algorithms in in-line phase tomography: Quantitative comparison of direct phase retrieval algorithms
journal, September 2008

  • Langer, Max; Cloetens, Peter; Guigay, Jean-Pierre
  • Medical Physics, Vol. 35, Issue 10
  • DOI: 10.1118/1.2975224

Three-dimensional high-resolution quantitative microscopy of extended crystals
journal, September 2011

  • Godard, P.; Carbone, G.; Allain, M.
  • Nature Communications, Vol. 2, Issue 1
  • DOI: 10.1038/ncomms1569

Quantitative biological imaging by ptychographic x-ray diffraction microscopy
journal, December 2009

  • Giewekemeyer, K.; Thibault, P.; Kalbfleisch, S.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 2
  • DOI: 10.1073/pnas.0905846107

Probe retrieval in ptychographic coherent diffractive imaging
journal, March 2009


High-resolution non-destructive three-dimensional imaging of integrated circuits
journal, March 2017

  • Holler, Mirko; Guizar-Sicairos, Manuel; Tsai, Esther H. R.
  • Nature, Vol. 543, Issue 7645
  • DOI: 10.1038/nature21698

    Works referencing / citing this record:

    Phase modulation due to crystal diffraction by ptychographic imaging
    text, January 2018