Aperiodic crystals and beyond

Grimm, Uwe (2015). Aperiodic crystals and beyond. Acta Crystallographica Section B, 71(3) pp. 258–274.

DOI: https://doi.org/10.1107/S2052520615008409

Abstract

Crystals are paradigms of ordered structures. While order was once seen as synonymous with lattice periodic arrangements, the discoveries of incommensurate crystals and quasicrystals led to a more general perception of crystalline order, encompassing both periodic and aperiodic crystals. The current definition of crystals rests on their essentially point-like diffraction. Considering a number of recently investigated toy systems, with particular emphasis on non-crystalline ordered structures, the limits of the current definition are explored.

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