Which distributions of matter diffract? - Some answers

Baake M, Moody RV, Richard C, Sing B (2003)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2003

Publisher: WILEY - VCH

Edited Volumes: Quasicrystals: Structure and Physical Properties

City/Town: Berlin

Pages Range: 89-207

ISBN: 978-3527403998

DOI: 10.1002/3527606572

Abstract

This review revolves around the question which general distribution of scatterers (in a Euclidean space) results in a pure point diffraction spectrum. Firstly, we treat mathematical diffration theory and state conditions under which such a distribution has pure point diffraction. We explain how a cut and project scheme naturally appears in this context and then turn our attention to the special situation of model sets and lattice substitution systems. As an example, we analyse the paperfolding sequence. In the last part, we summarize some aspects of stochastic point sets, with focus both on structure and diffraction.

Authors with CRIS profile

Christoph Richard Naturwissenschaftliche Fakultät

Involved external institutions

University of Alberta CA Canada (CA) Universität Bielefeld DE Germany (DE) Universität Greifswald DE Germany (DE)

How to cite

APA:

Baake, M., Moody, R.V., Richard, C., & Sing, B. (2003). Which distributions of matter diffract? - Some answers. In Hans-Rainer Trebin (Eds.), Quasicrystals: Structure and Physical Properties. (pp. 89-207). Berlin: WILEY - VCH.

MLA:

Baake, Michael, et al. "Which distributions of matter diffract? - Some answers." Quasicrystals: Structure and Physical Properties. Ed. Hans-Rainer Trebin, Berlin: WILEY - VCH, 2003. 89-207.

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