Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-06-28
Phys. Rev. B 82, No.10, 104207 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
26 pages, 6 figures
Scientific paper
10.1103/PhysRevB.82.104207
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 $\phi$) dependence on the angular coordinate $\phi$ 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.
Altarelli Massimo
Kurta R. P.
Vartanyants Ivan A.
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