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arXiv · 1809.10614

Robust minimal matching rules for quasicrystals

Pavel Kalugin·André Katz
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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.

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Pavel Kalugin, André Katz. 2018-09-27. Robust minimal matching rules for quasicrystals. https://arxiv.org/abs/1809.10614

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