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.
Publisher
International Union of Crystallography (IUCr)
Subject
Materials Chemistry,Metals and Alloys,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials
Reference73 articles.
1. Authier, A. (2013). Early Days of X-ray Crystallography. Oxford University Press.
2. Authier, A. & Chapuis, G. (2014). A Little Dictionary of Crystallography. International Union of Crystallography.
3. Baake, M. (1997). The Mathematics of Long-Range Aperiodic Order, edited by R. V. Moody, pp. 9-44. Dordrecht: Kluwer Academic Publishers.
4. Baake, M., Birkner, M. & Grimm, U. (2015). Mathematics of Aperiodic Order, edited by J. Kellendonk, D. Lenz & J. Savinien. In the press. Boston: Birkhäuser. arXiv:1502.05122.
5. A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献