Symmetries of all lines in monolayer crystals

As `2D' materials (i.e. materials just a few atoms thick) continue to gain prominence, understanding their symmetries is critical for unlocking their full potential. In this work, we present comprehensive tables that tabulate the rod group symmetries of all crystallographic lines in all 80 layer groups, which describe the symmetries of 2D materials. These tables are analogous to the scanning tables for space groups found in Volume E of the International Tables for Crystallography, but are specifically tailored for layer groups and their applications to 2D materials. This resource will aid in the analysis of line defects, such as domain walls, which play a crucial role in determining the properties and functionality of 2D materials.

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Publication Details

Journal
Acta Crystallographica Section A Foundations and Advances
Published
2025-05-23
DOI
https://doi.org/10.1107/s205327332500422x
Citations
1
Primary Topic
Liquid Crystal Research Advancements
Type
article
Field-Weighted Citation Impact
0.43

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article

Symmetries of all lines in monolayer crystals

B.O. Field, Sinéad M. Griffin
1 citations
Acta Crystallographica Section A Foundations and Advances
Liquid Crystal Research Advancements
0.43
article

Symmetries of all lines in monolayer crystals

B.O. Field, Sinéad M. Griffin
article en
1 citations

Abstract

As `2D' materials (i.e. materials just a few atoms thick) continue to gain prominence, understanding their symmetries is critical for unlocking their full potential. In this work, we present comprehensive tables that tabulate the rod group symmetries of all crystallographic lines in all 80 layer groups, which describe the symmetries of 2D materials. These tables are analogous to the scanning tables for space groups found in Volume E of the International Tables for Crystallography, but are specifically tailored for layer groups and their applications to 2D materials. This resource will aid in the analysis of line defects, such as domain walls, which play a crucial role in determining the properties and functionality of 2D materials.

Acta Crystallographica Section A Foundations and AdvancesVol. 81(4)
Lawrence Berkeley National Laboratory (US)
Office of Science
Openalex Percentile: Top 41%
Liquid Crystal Research Advancements
0.43
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