Crystal Structure Generation Based on Polyhedra using Dual Periodic Graphs

Fuente: arXiv
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Auteurs principaux: Yokoyama, Tomoyasu, Ichikawa, Kazuhide, Naito, Hisashi
Format: Preprint
Publié: 2023
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author Yokoyama, Tomoyasu
Ichikawa, Kazuhide
Naito, Hisashi
author_facet Yokoyama, Tomoyasu
Ichikawa, Kazuhide
Naito, Hisashi
contents Crystal structure design is important for the discovery of new highly functional materials because crystal structure strongly influences material properties. Crystal structures are composed of space-filling polyhedra, which affect material properties such as ionic conductivity and dielectric constant. However, most conventional methods of crystal structure prediction use random structure generation methods that do not take space-filling polyhedra into account, contributing to the inefficiency of materials development. In this work, we propose a crystal structure generation method based on discrete geometric analysis of polyhedra information. In our method, the shape and connectivity of a space-filling polyhedron are represented as a dual periodic graph, and the crystal structure is generated by the standard realization of this graph. We demonstrate that this method can correctly generate face-centered cubic, hexagonal close-packed, and body-centered cubic structures from dual periodic graphs. This work is a first step toward generating undiscovered crystal structures based on the target polyhedra, leading to major advances in materials design in areas including electronics and energy storage.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09060
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Crystal Structure Generation Based on Polyhedra using Dual Periodic Graphs
Yokoyama, Tomoyasu
Ichikawa, Kazuhide
Naito, Hisashi
Materials Science
Computational Physics
Crystal structure design is important for the discovery of new highly functional materials because crystal structure strongly influences material properties. Crystal structures are composed of space-filling polyhedra, which affect material properties such as ionic conductivity and dielectric constant. However, most conventional methods of crystal structure prediction use random structure generation methods that do not take space-filling polyhedra into account, contributing to the inefficiency of materials development. In this work, we propose a crystal structure generation method based on discrete geometric analysis of polyhedra information. In our method, the shape and connectivity of a space-filling polyhedron are represented as a dual periodic graph, and the crystal structure is generated by the standard realization of this graph. We demonstrate that this method can correctly generate face-centered cubic, hexagonal close-packed, and body-centered cubic structures from dual periodic graphs. This work is a first step toward generating undiscovered crystal structures based on the target polyhedra, leading to major advances in materials design in areas including electronics and energy storage.
title Crystal Structure Generation Based on Polyhedra using Dual Periodic Graphs
topic Materials Science
Computational Physics
url https://arxiv.org/abs/2312.09060