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Issue 20, 2012
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Mathematical diffraction of aperiodic structures

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Abstract

Kinematic diffraction is well suited for a mathematical approach via measures, which has substantially been developed since the discovery of quasicrystals. The need for further insight emerged from the question of which distributions of matter, beyond perfect crystals, lead to pure point diffraction, hence to sharp Bragg peaks only. More recently, it has become apparent that one also has to study continuous diffraction in more detail, with a careful analysis of the different types of diffuse scattering involved. In this review, we summarise some key results, with particular emphasis on non-periodic structures. We choose an exposition on the basis of characteristic examples, while we refer to the existing literature for proofs and further details.

Graphical abstract: Mathematical diffraction of aperiodic structures

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Publication details

The article was received on 04 Apr 2012 and first published on 16 Jul 2012


Article type: Critical Review
DOI: 10.1039/C2CS35120J
Citation: Chem. Soc. Rev., 2012,41, 6821-6843
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    Mathematical diffraction of aperiodic structures

    M. Baake and U. Grimm, Chem. Soc. Rev., 2012, 41, 6821
    DOI: 10.1039/C2CS35120J

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