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Aperiodic crystals and their atomic structures in superspace : an introduction

Title data

van Smaalen, Sander:
Aperiodic crystals and their atomic structures in superspace : an introduction.
In: Rendiconti Lincei. Scienze Fisiche e Naturali. Vol. 34 (1 September 2023) Issue 3 . - pp. 681-688.
ISSN 1720-0776
DOI: https://doi.org/10.1007/s12210-023-01167-z

Official URL: Volltext

Project information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

Aperiodic crystals are ordered matter without three-dimensional (3D) translational symmetry. They encompass quasicrystals, incommensurate composite crystals and incommensurately modulated structures. Their crystal structures are described by the so-called superspace theory, in which hidden periodicity is uncovered as translational symmetry in a space of dimensions higher than three. Here, I give an introduction to the structural features of aperiodic crystals and to the superspace theory for describing those structures. Applications, in particular t-plots, are demonstrated for the charge-density wave (CDW) materials Er₂Ir₃Si₅ and EuAl₄.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Aperiodic crystals; Modulated crystals; Quasicrystals; Crystal structure
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Group Material Sciences > Chair Crystallography
Faculties > Faculty of Mathematics, Physics und Computer Science > Group Material Sciences > Chair Crystallography > Chair Crystallography - Univ.-Prof. Dr. Sander van Smaalen
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Group Material Sciences
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 14 Sep 2023 06:45
Last Modified: 22 Jan 2024 08:51
URI: https://eref.uni-bayreuth.de/id/eprint/86849