ISO(3+1)D
Tables of isotropy subgroups with a single incommensurate modulated distortion

Harold T. Stokes, Branton J. Campbell and Dorian M. Hatch, Department of Physics and Astronomy, Brigham Young University, Provo, Utah, 84602, USA, branton_campbell@byu.edu

Description: Table of generators of the (3+1)-dimensional superspace groups. Table of incommensurate IRs of the (3+1)-dimensional superspace extensions of the 230 crystallographic space groups. Table of incommensurate isotropy subgroups of the (3+1)-dimensional superspace extensions of the 230 crystallographic space groups.

Reference: H. T. Stokes, B. J. Campbell, and D. M. Hatch, "Order Parameters for Phase Transitions to Structures with One-Dimensional Incommensurate Modulations", Acta Cryst. A 63, 365-373 (2007).

Superceded: These tables have been removed from the suite because they have been superceded by more complete resources that support 1, 2, and 3 incommensurate modulations. An algorithm improvement in 2020 also uncovered additional isotropy subgroups that were not included in the 2007 manuscript.

Generators of the (3+1)-dimensional superspace groups: see ISO(3+d)D or ISOSPACEGROUP.

Incommensurate IRs of the (3+1)-dimensional superspace extensions of the 230 crystallographic space groups: see ISO-IR.

Incommensurate isotropy subgroups of the (3+1)-dimensional superspace extensions of the 230 crystallographic space groups: see ISOSUBGROUP.