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Periodic diffraction patterns for 1D quasicrystals

Pawel Buczek·Lorenzo Sadun·Janusz Wolny
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Abstract

A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between periodic and non-periodic diffraction patterns. The diffraction patterns are calculated analytically both using ``cut and project'' and ``average unit cell'' methods, taking advantage of the physical space properties of the structure.

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Pawel Buczek, Lorenzo Sadun, Janusz Wolny. 2005-01-27. Periodic diffraction patterns for 1D quasicrystals. https://arxiv.org/abs/cond-mat/0309008

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