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arXiv · 1006.5382

X-ray cross-correlation analysis and local symmetries of disordered systems. I. General theory

M. Altarelli·R. P. Kurta·I. A. Vartanyants
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Abstract

In a recent article (P.Wochner et al., PNAS (2009)) x-ray scattering intensity correlations around a ring, in the speckle diffraction pattern of a colloidal glass, were shown to display a remarkable ~ cos(n $ϕ$) dependence on the angular coordinate $ϕ$ around the ring, with integer index n depending on the magnitude of the scattering wavevector. With an analytical derivation that preserves full generality in the Fraunhofer diffraction limit, we clarify the relationship of this result to previous x-ray studies of bond-orientation order, and provide a sound basis to the statement that the angular intensity correlations deliver information on local bond arrangements in a disordered (or partially ordered) system. We present a detailed analysis of the angular cross-correlation function and show its applicability for studies of wide range of structural properties of disordered systems, from local structure to spatial correlations between distant structural elements.

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M. Altarelli, R. P. Kurta, I. A. Vartanyants. 2010-06-28. X-ray cross-correlation analysis and local symmetries of disordered systems. I. General theory. https://doi.org/10.1103/physrevb.82.104207

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