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Reconstruction of the Shapes of Gold Nanocrystals using Coherent X-ray Diffraction

Robinson, IK; Vartanyants, IA; Williams, GJ; Pfeifer, MA; Pitney, JA; (2001) Reconstruction of the Shapes of Gold Nanocrystals using Coherent X-ray Diffraction. Physical Review Letters , 87 (19) , Article 195505. 10.1103/PhysRevLett.87.195505. Green open access

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Abstract

Inverse problems arise frequently in physics: The magnitude of the Fourier transform of some function is measurable, but not its phase. The “phase problem” in crystallography arises because the number of discrete measurements (Bragg peak intensities) is only half the number of unknowns (electron density points in space). Sayre first proposed that oversampling of diffraction data should allow a solution, and this has recently been demonstrated. Here we report the successful phasing of an oversampled hard x-ray diffraction pattern measured from a single nanocrystal of gold.

Type: Article
Title: Reconstruction of the Shapes of Gold Nanocrystals using Coherent X-ray Diffraction
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.87.195505
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.87.195505
Additional information: © 2001 The American Physical Society
Keywords: Reconstruction, Shapes, Gold, Nanocrystals, Coherent, X-ray, Diffraction
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/40051
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