This database contains the set of all possible three-dimensional space groups resulting from hyper-sections of the (3 + 1)-dimensional superspace groups. It can thus be considered as an extension of the scanning tables given in Part 6 of International Tables for Crystallography Volume E, in which the two-dimensional sectional layer groups of the 230 space groups are listed. Superspace Group Finder is particularly useful for finding common superspace groups for series of modular or flexible structures and phase transitions, and for exploring the symmetry of all commensurate cuts for a specific (3 + 1)-dimensional group.

For more information see Orlov, I., Palatinus, L. & Chapuis, G. (2008). J. Appl. Cryst. 41, 1182-1186.