Symmetry of Magnetically-Ordered Three-Dimensional Octagonal Quasicrystals

TL;DR

This paper applies magnetic symmetry theory to 3D octagonal quasicrystals, enumerating spin groups and deriving neutron diffraction selection rules, advancing understanding of magnetic properties in complex aperiodic structures.

Contribution

It introduces a comprehensive enumeration of 3D octagonal spin point groups and space groups, and calculates their neutron diffraction selection rules, expanding the symmetry classification of magnetic quasicrystals.

Findings

Enumeration of all 3D octagonal spin point groups

Calculation of neutron diffraction selection rules for these groups

Enhanced understanding of magnetic symmetry in quasicrystals

Abstract

The theory of magnetic symmetry in quasicrystals, described in a companion paper [cond-mat/0304669], is used to enumerate all 3-dimensional octagonal spin point groups and spin space-group types, and calculate the resulting selection rules for neutron diffraction experiments.