Abstract
Long-period and quasicrystalline structures are represented as the limit sets of a multifractal corresponding to an arbitrary incommensurable structure. The investigation is based on a study of the simplest mappings representing the nodes of the lattice which arise upon superposition of incommensurable structures. We separately consider quasicrystalline structures and we investigate their fractal properties. We generalize to arbitrary incommensurable structures.
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Additional information
Sumskii State University. RÉTO Scientific-Industrial Enterprises. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 62–71, November, 1994.
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Olemskoi, A.I. Practical representation of incommensurable and quasicrystalline structures. Russ Phys J 37, 1063–1071 (1994). https://doi.org/10.1007/BF00559214
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DOI: https://doi.org/10.1007/BF00559214