Periodic diffraction patterns for 1D quasicrystals
Condensed Matter
2007-05-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.cond-mat/0309008,
title = {Periodic diffraction patterns for 1D quasicrystals},
author = {Pawel Buczek and Lorenzo Sadun and Janusz Wolny},
journal= {arXiv preprint arXiv:cond-mat/0309008},
year = {2007}
}
Comments
17 pages, 6 figures, the language was polished. References added: [18], [23] & [28]. Paper accepted to Acta Physica Polonica B