1999•arXiv (Cornell University)Open access

Quasicrystals. The technique for Describing of Quasiperiodic Structures

Vadim Gulyaev

Abstract

In this paper, a technique for describing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atom density distribution formula of a corresponding quasicrystal. The algorithm to restore the atom density distribution has been considered on the example of the Penrose matching. The analytical record of a Penrose quasicrystal is given 1. 1

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Key concepts: Quasiperiodic function, Quasicrystal, Matching (statistics), Distribution (mathematics), Penrose tiling, Atom (system on chip), Physics, Mathematics