Continuous Chiral Distances for 2-Dimensional Lattices

Bright, matthew, Cooper, andrew and Kurlin, Vitaliy ORCID: 0000-0001-5328-5351 (2023) Continuous Chiral Distances for 2-Dimensional Lattices. Chirality, 35 (12). pp. 920-936.

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Official URL: https://onlinelibrary.wiley.com/journal/1520636X

Abstract

Chirality was traditionally considered a binary property of periodic lattices and crystals. However, the classes of 2-dimensional lattices modulo rigid motion form a continuous space, which was recently parametrized by three geographic-style coordinates. The four non-oblique Bravais classes of 2-dimensional lattices form low-dimensional singular subspaces in the full continuous space. Now the deviations of a lattice from its higher symmetry neighbours can be continuously quantified by real-valued distances satisfying metric axioms. This paper analyses these and newer G-chiral distances for millions of 2-dimensional lattices that are extracted from publicly available databases of 2-dimensional structures and real materials in the Cambridge Structural Database and others.

Item Type:	Article
Uncontrolled Keywords:	chiral distance, continuous metric, isometry, rigid motion, two-dimensional material
Divisions:	Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User:	Symplectic Admin
Date Deposited:	05 Jun 2023 07:52
Last Modified:	24 Nov 2023 06:03
DOI:	10.1002/chir.23598
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3170806