Summary
Quasicrystals and other aperiodic, but quasiperiodic, structures lack lattice periodicity. Nevertheless, they have the same degree of order as lattice-periodic crystals. The crystallographic notion of symmetry can be generalized. One way to do this is to introduce a higher-dimensional space, but such an approach is equivalent to a three-dimensional formulation. Superspace groups are discussed, and applied to the symmetry of icosahedral and dihedral quasicrystals.
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© 2002 Springer-Verlag Berlin Heidelberg
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Janssen, T. (2002). Quasicrystallography. In: Suck, JB., Schreiber, M., Häussler, P. (eds) Quasicrystals. Springer Series in Materials Science, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05028-6_4
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DOI: https://doi.org/10.1007/978-3-662-05028-6_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08390-7
Online ISBN: 978-3-662-05028-6
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