On the origin of crystallinity: a lower bound for the regularity radius of Delone sets

DOI10.1107/S2053273318012135zbMath1444.82010arXiv1804.05035WikidataQ58077585 ScholiaQ58077585MaRDI QIDQ5127468

Igor A. Baburin, Egon Schulte, M. Bouniaev, S. V. Krivovichev, Alexey I. Garber, Nikolai P. Dolbilin, Nikolai Erokhovets

Publication date: 22 October 2020

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05035

zbMATH Keywords

Delone setsregularity radiusEngel setscrystallinity

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Related Items (6)

Local groups in Delone sets: a conjecture and results ⋮ Crystallographic properties of local groups of a Delone set in a Euclidean plane ⋮ On the regularity radius of Delone sets in \({\mathbb{R}}^3\) ⋮ Delone sets in \(\mathbb{R}^3\) with \(2R\)-regularity conditions ⋮ Delone sets and tilings: local approach ⋮ Local Groups in Delone Sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness theorem for locally antipodal Delaunay sets
• Delone sets: local identity and global symmetry
• Struktur der Materie

This page was built for publication: On the origin of crystallinity: a lower bound for the regularity radius of Delone sets