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Advances in Condensed Matter Physics
Volume 2013, Article ID 959835, 15 pages
Research Article

X-Ray Cross-Correlation Analysis of Disordered Ensembles of Particles: Potentials and Limitations

1Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
2European X-Ray Free-Electron Laser Facility, Albert-Einstein-Ring 19, 22761 Hamburg, Germany
3National Research Nuclear University, “MEPhI”, Moscow 115409, Russia

Received 8 February 2013; Accepted 18 April 2013

Academic Editor: Dilano K. Saldin

Copyright © 2013 R. P. Kurta et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Angular X-ray cross-correlation analysis (XCCA) is an approach to study the structure of disordered systems using the results of X-ray scattering experiments. In this paper we summarize recent theoretical developments related to the Fourier analysis of the cross-correlation functions. Results of our simulations demonstrate the application of XCCA to two- and three-dimensional (2D and 3D) disordered ensembles of particles. We show that the structure of a single particle can be recovered using X-ray data collected from a 2D disordered system of identical particles. We also demonstrate that valuable structural information about the local structure of 3D systems, inaccessible from a standard small-angle X-ray scattering experiment, can be resolved using XCCA.