1999arXiv (Cornell University)Open access

Quasicrystals. The Technique for Constructing Quasiperiodic Structures

Vadim Gulyaev

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Abstract

In this paper, a technique for constructing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atoms 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.

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What this paper is about

In this paper, a technique for constructing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atoms 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.

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Available abstract

In this paper, a technique for constructing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atoms 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.

Key concepts: Quasiperiodic function, Quasicrystal, Physics, Condensed matter physics

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