Superspace Finder v2.0 Beta version
3D derivatives of (3+1)D space groups in analytical form
  • Displays commensurate cuts of superspace groups
  • Finds common (3+1)D denominator for a set of 3D groups
  • Of special use for phase transitions and modular structures
Browse (3+1)D groups...

First, select the crystal system, then browse the categories from left to right.
Systems Classes 3D groups (3+1)D groups

3+1D to 3D group transformation for commensurate modulation

N1, N2, N3 - denominators of q-vector components (simple N if there is only one component).
3D derivatives inherit basis of parental (3+1)D group.
To obtain specific group orientation and symbol a basis transofrmation might be necessary.

 

Constraints of t level. Variable n stands for any integer.

...or search for 3D group set

Type desired 3D space groups separated by space.

Laboratoire de Cristallographie
Ecole Polytechnique Fédérale de Lausanne
CH-1015 Lausanne, Switzerland
Concept and content: Ivan Orlov ivan.orlov@epfl.ch
Programming: Nicolas Schoeni nicolas.schoeni@epfl.ch
Project review: Gervais Chapuis gervais.chapuis@epfl.ch
This project would not be possible without JANA2000. We are indebted to Vaclav Petricek and Michal Dusek. We especially thank Lukas Palatinus and Michal Dusek for their superb assistance with group derivations.