Matching rules from Al-Co potentials in an almost realistic model

2008/08/30 by Sejoon Lim, M. Mihalkovič, M. Mihalkovic +5
Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Quasicrystal Structures and Properties #X-ray Diffraction in Crystallography #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.0809.0084

4 pp, 2 figures, for Intl. Conf. Quasicrystals ICQ10, to appear Z. Krist

arxiv created 2008/08/30 · openalex publication_date 2008/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a model decagonal quasicrystal of composition Al_80.1Co_19.9 -- closely related to actual structures, and using realistic pair potentials -- on a quasilattice of candidate sites. Its ground state, according to simulations, is a Hexagon-Boat-Star tiling satisfying Penrose's matching rules. In this note, we rationalize these results in terms of the potentials; the Al-Co second-neighbor potential well is crucial.

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