Seitz symbols for symmetry operations of sub­periodic groups

Revised Seitz notation is provided for the symmetry operations blocks of International Tables for Crystallography Vol. E, Subperiodic Groups.

Double antisymmetry and the rotation-reversal space groups

It was found that there are 17 803 types of double antisymmetry space groups. This is four fewer than previously thought. When rotation-reversal symmetry and time-reversal symmetry are considered, this implies that there are 17 803 distinct types of symmetry that a crystal may exhibit.

On physical property tensors invariant under line groups

Materials invariant under infinite subsets of line groups are shown to have physical property tensors of the same form.

Crystallographic data of double antisymmetry space groups

Crystallographic data of double antisymmetry space groups are presented.

Changes of physical properties in multiferroic phase transitions

Nonmagnetic, magnetic and toroidal properties are given for all 1601 Aizu species of point-group pairs, highlighting the differences in property coefficients between each pair of groups.