Mathematical diffraction of aperiodic structures

Baake M, Grimm U (2012)
Chemical Society Reviews 41(20): 6821-6843.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Baake, MichaelUniBi; Grimm, Uwe
Abstract / Bemerkung
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.
Erscheinungsjahr
2012
Zeitschriftentitel
Chemical Society Reviews
Band
41
Ausgabe
20
Seite(n)
6821-6843
ISSN
0306-0012
Page URI
https://pub.uni-bielefeld.de/record/2536379

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Baake M, Grimm U. Mathematical diffraction of aperiodic structures. Chemical Society Reviews. 2012;41(20):6821-6843.
Baake, M., & Grimm, U. (2012). Mathematical diffraction of aperiodic structures. Chemical Society Reviews, 41(20), 6821-6843. https://doi.org/10.1039/c2cs35120j
Baake, Michael, and Grimm, Uwe. 2012. “Mathematical diffraction of aperiodic structures”. Chemical Society Reviews 41 (20): 6821-6843.
Baake, M., and Grimm, U. (2012). Mathematical diffraction of aperiodic structures. Chemical Society Reviews 41, 6821-6843.
Baake, M., & Grimm, U., 2012. Mathematical diffraction of aperiodic structures. Chemical Society Reviews, 41(20), p 6821-6843.
M. Baake and U. Grimm, “Mathematical diffraction of aperiodic structures”, Chemical Society Reviews, vol. 41, 2012, pp. 6821-6843.
Baake, M., Grimm, U.: Mathematical diffraction of aperiodic structures. Chemical Society Reviews. 41, 6821-6843 (2012).
Baake, Michael, and Grimm, Uwe. “Mathematical diffraction of aperiodic structures”. Chemical Society Reviews 41.20 (2012): 6821-6843.
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