Abstract
About 50 years ago, it was shown that there are solid state systems with perfect order but without lattice periodicity. These systems were called crystalline phases because of the order and incommensurate because of the lack of periodicity. They formed a challenge for crystallographers and physicists to understand the structure, the physical properties and the reason for their appearance. Later other classes of this type were found (occupation modulated crystals, incommensurate magnetic systems, incommensurate composites), the most important one being that of quasicrystals. The discovery of the latter class in 1982 caused a huge increase in interest. The first conferences on this new type of materials were called Modulated Crystals, later polytypes and quasicrystals were included in the title MOSPOQ. Nowadays these conferences continue under the name Aperiodic (Crystals). The field has become very active worldwide, and our insight into structure and properties has increased impressively. A brief sketch of the development of the field is given in this chapter.
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Forman P (1969) The discovery of the diffraction of X-rays by crystals. Arch Hist Exact Sci 6:38–71
Friedrich W, Knipping P, Laue M (1912) Interferenz-Erscheinungen bei Röntgenstrahlen. Bayer Akad Wiss München, Sitzungsber Math-Phys Kl August:303–322
Herpin A, Mériel P, Villain J (1960) Antiferromagnétisme hélicoïdal. J Phys Radium 21:67
Tanisaki S (1963) X-ray study on the ferroelectric phase transition of NaNO2. J Phys Soc Jpn 18:1181–1191
Brouns E, Visser JW, de Wolff PM (1964) An anomaly in the crystal structure of γ-Na2CO3. Acta Crystallogr 17:614
Johnson CK, Watson CR (1976) Superstructure and modulation wave analysis for the unidimensional conductor TTF pentaiodide. J Chem Phys 64:2271–2286
Pouget JP, Shirane G, Hastings JM, Heeger AJ, Miro ND, MacDiarmid AG (1978) Elastic neutron scattering of the ‘phase ordering’ phase transition in Hg3−δ AsF6. Phys Rev B 18:3645–3656
Mackay A (1982) Crystallography and the Penrose tiling. Physica 114A:609–613
Shechtman D, Blech I, Gratias D, Cahn JW (1984) Metallic phase with long-range orientational order and no translational symmetry. Phys Rev Lett 53:1951–1953
Tsunoda Y, Mori M, Kunitomi N, Teraoka Y, Kanamori J (1974) Strain wave in pure chromium. Solid State Commun 14:287–289
de Wolff PM (1974) The pseudo-symmetry of modulated crystal structures. Acta Crystallogr, Ser A 30:777–785
Takakura H, Gomez CP, Yamamoto A, de Boissieu M, Tsai AP (2007) Atomic structure of the binary icosahedral Yb–Cd quasicrystal. Nat Mater 6:58–63
Janner A, Janssen T (1980) Symmetry of incommensurate crystal phases, I: commensurate basic structure. Acta Crystallogr, Ser A 36:399–408
Schobinger-Papamantellos P, Rodriguez-Carvajal J, Ritter C, Buschow KHJ (2010) Competing magnetic structures in the DySi FeB-type phase diagram. J Magn Magn Mater 322:119–132
Perez-Mato JM, Ribeiro JL, Petricek V, Aroyo MI (2012) Magnetic superspace groups and symmetry constraints in incommensurate magnetic phases. J Phys Condens Matter 24:163201
Janssen T, Janner A (1984) Superspace groups and representations of ordinary space groups: alternative approaches to the symmetry of incommensurate crystal phases. Physica A 126:163–176
Toudic B, Rabiller P, Bourgeois L, Huard M, Ecolivet C, McIntyre GJ, Bourges P, Breczewski T, Janssen T (2011) Europhys Lett 93:16003
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Janssen, T. (2013). A Brief History of Aperiodic Crystals: 1962–2012. In: Schmid, S., Withers, R., Lifshitz, R. (eds) Aperiodic Crystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6431-6_1
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DOI: https://doi.org/10.1007/978-94-007-6431-6_1
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