Mathematical diffraction of aperiodic structures

作者:Baake Michael*; Grimm Uwe
来源:Chemical Society Reviews, 2012, 41(20): 6821-6843.
DOI:10.1039/c2cs35120j

摘要

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.

  • 出版日期2012