naa a22 4500 51077475X CHVBK 20180411083226.0 cr unu---uuuuu 180411e20130201xx s 000 0 eng 10.1007/s12210-012-0221-1 doi (NATIONALLICENCE)springer-10.1007/s12210-012-0221-1 The aperiodic nature of incommensurately modulated structures [Elektronische Daten] [Gervais Chapuis, Alla Arakcheeva] The discovery of aperiodic crystals is perhaps one of the most important event which has changed our vision on crystalline architectures since the discovery of diffraction 100years ago. It was the merit of a Dutch crystallographer, P.M. de Wolff, to interpret their diffraction pattern as a three dimensional projection of a higher dimensional reciprocal lattice, idea which led directly to the generalization of the concept of crystal. Aperiodic crystals are currently described as periodic objects in higher-dimensional space, i.e. the superspace and their structures can be described in terms of 3-d cuts. Incommensurate structures, composite structures and quasicrystals all belong to aperiodic structures. Many interesting properties of superspace have been discovered which are also directly applicable to crystals in the conventional sense, i.e. crystals with 3-d periodicity. In particular the concept of structure type can be extended for a better understanding of structure relations. The notion of solid solution has also benefited from superspace considerations. Moreover, superspace is a very powerful tool for a better understanding of structure-property relations in material science, e.g. luminescence properties could be directly associated to the description of structures in superspace. Recently, this concept has been used for the prediction of new structural modifications including polytypes and even polytypic modifications of a well-known pharmaceutical product. Accademia Nazionale dei Lincei, 2013 Aperiodic crystals nationallicence Incommensurately modulated crystals nationallicence Composite crystals nationallicence Quasicrystals nationallicence Chapuis Gervais Laboratoire de cristallographie, BSP/Cubotron, EPFL, 1015, Lausanne, Switzerland aut Arakcheeva Alla Phase Solutions Ltd, ch. des Mésanges 7, 1012, Lausanne, Switzerland aut Rendiconti Lincei Springer Milan 24(2013-02-01), 77-84 2037-4631 24<77 2013 24 12210 https://doi.org/10.1007/s12210-012-0221-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12210-012-0221-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chapuis Gervais Laboratoire de cristallographie, BSP/Cubotron, EPFL, 1015, Lausanne, Switzerland aut NATIONALLICENCE 700 1- Arakcheeva Alla Phase Solutions Ltd, ch. des Mésanges 7, 1012, Lausanne, Switzerland aut NATIONALLICENCE 773 0- Rendiconti Lincei Springer Milan 24(2013-02-01), 77-84 2037-4631 24<77 2013 24 12210 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer