Reconstruction of the shapes of gold nanocrystals using coherent x-ray diffraction

Reconstruction of the shapes of gold nanocrystals using coherent x-ray diffraction
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DOI:
10.1103/physrevlett.87.195505
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发表时间:
2001-11-05
影响因子:
8.6
通讯作者:
Pitney, JA
Pitney, JA
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Robinson, IK;Vartanyants, IA;Pitney, JA

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物理学中经常出现逆问题:某些函数的傅里叶变换的幅度是可测量的,但其相位却不可测量。晶体学中的“相位问题”之所以出现,是因为离散测量(布拉格峰强度)的数量仅为未知数(空间中电子密度点)数量的一半。 Sayre 首先提出对衍射数据进行过采样应该可以提供解决方案,并且最近已经证明了这一点。在这里,我们报告了从单个金纳米晶体测量的过采样硬 X 射线衍射图案的成功定相。
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.