Robust minimal matching rules for quasicrystals
Other Condensed Matter
2019-06-07 v2 Mathematical Physics
math.MP
Abstract
We propose a unified framework for dealing with matching rules of quasiperiodic patterns, relevant for both tiling models and real world quasicrystals. The approach is intended for extraction and validation of a minimal set of matching rules, directly from the phased diffraction data. The construction yields precise values for the spatial density of distinct atomic positions and tolerates the presence of defects in a robust way.
Cite
@article{arxiv.1809.10614,
title = {Robust minimal matching rules for quasicrystals},
author = {Pavel Kalugin and André Katz},
journal= {arXiv preprint arXiv:1809.10614},
year = {2019}
}
Comments
54 pages, 10 figures, accepted to Acta Cryst A