2003/01/15 by M. Baake, R. V. Moody, C. Richard +1 · 2 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Quasicrystal Structures and Properties #Supramolecular Self-Assembly in Materials #math-ph #math.MG #math.MP #msc:43A25 #msc:52C23 #msc:78A45 #msc:82B20
paper · pdf · doi:10.1002/3527606572
published as in: H.-R. Trebin (ed.), Quasicrystals: Structure and Physical Properties, Wiley-VCH, Berlin (2003), pp. 188-207. · 20 pages, 3 figures
arxiv created 2003/01/15 · openalex publication_date 2003/04/10 · arxiv updated 2009/11/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/04/18
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.