Crystallography, geometry and physics in higher dimensions. VII. The different types of symbols of the 371 mono-incommensurate superspace groups
Abstract
The 371 four-dimensional superspace symmetry groups for the mono-incommensurate modulated structures have been classified with different but equivalent notations by de Wolff, Janner & Janssen (WJJ) and Weigel, Phan & Veysseyre (WPV). The exact correspondence between the two types of symbols and examples of physical modulated structures are given in this paper.