Phys. Rev. Lett. 87, 195505 (2001) [4 pages]Reconstruction of the Shapes of Gold Nanocrystals Using Coherent X-Ray DiffractionReceived 15 May 2001; published 19 October 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.195505
DOI:
10.1103/PhysRevLett.87.195505
PACS:
61.10.Dp, 42.30.Rx, 68.35.Md, 81.07.Bc
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