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Crystallographic Method for Exact Describing Quasicrystal Structures

Vadim Gouliaev
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Abstract

In this paper the problem of the theory of a quasicrystal structures - the determination of coordinates of each atom of quasicrystal in analytical form - is solved. Within the framework of the proposed model a periodic crystal can be presented as a particular case of a quasicrystal. The simple and explicit analytical formulas which describe the location of each atom in a quasicrystal are given. The exact solutions for Penrose and Ammann-Beenker quasicrystal structures are given. On the basis of the analytical formulas the routines are created. The routines are inserted directly into graphical files generating the quasiperiodic structures.

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Vadim Gouliaev. 2001-07-16. Crystallographic Method for Exact Describing Quasicrystal Structures. https://arxiv.org/abs/cond-mat/0107191

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