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Group Theoretical Methods in Physics pp 370–376Cite as

A new approach to non-periodic order in solids

  • IV. Manybody Systems, Spacegroups and Quasilattices
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Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

Abstract

The theoretical models proposed for non-periodic long-range order in general are not compatible with one another. This applies in particular to models with almost periodic densities and models based on tilings. The new approach uses tools from algebraic topology and from space group action on lattices. A periodic lattice is interpreted as an Euclidean cell complex and associated with a metrical dual. New klotz cells are defined which allow for the construction of quasicrystal models with fixed densities on several cells.

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References

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  8. Kramer,P. submitted for publication

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Tübingen, Germany

    P. Kramer

Authors
  1. P. Kramer
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Kramer, P. (1988). A new approach to non-periodic order in solids. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012301

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  • DOI: https://doi.org/10.1007/BFb0012301

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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