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Quasicrystals as Hierarchical Packing of Overlapping Clusters

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Quasicrystals

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 55))

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Summary

It is possible to describe quasiperiodic structures in terms of a skeleton of a hierarchical self-similar packing of overlapping atomic clusters. The related inflation rules constrain both composition and atomic valences to have strictly defined values. Stability of the skeleton requires that bonding electrons are recurrently localized at site-forming self-similar isomorphic subsets of the structure and are distributed into “magic cluster” states. Properties can be understood in the framework of such a cluster description of quasicrystals.

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Authors and Affiliations

  1. Dipartimento di Scienze della Terra, Universitá di Roma “La Sapienza”, Piazzale Aldo Moro, 5 - 00185, Roma, Italy

    Christian Janot

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  1. Christian Janot
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  2. Jean-Marie Dubois
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Editors and Affiliations

  1. Institut für Physik, TU Chemnitz, 09107, Chemnitz, Germany

    Jens-Boie Suck  & Peter Häussler  & 

  2. International University Bremen, Postfach 75 05 61, 28725, Bremen, Germany

    Michael Schreiber

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Janot, C., Dubois, JM. (2002). Quasicrystals as Hierarchical Packing of Overlapping Clusters. 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_8

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  • DOI: https://doi.org/10.1007/978-3-662-05028-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08390-7

  • Online ISBN: 978-3-662-05028-6

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