ISO(3+d)D

ISO(3+d)D

Tables of (3+d)-Dimensional Superspace Groups

Version 2.3, Jan 2022

Harold T. Stokes and Branton J. Campbell, Department of Physics and Astronomy, Brigham Young University, Provo, Utah, 84602, USA, branton_campbell@byu.edu
Sander van Smaalen, University of Bayreuth, Bayreuth, Germany, smash@uni-bayreuth.de

Description: Tables of (3+d)-dimensional superspace groups (d=1,2,3) and tools for finding standard settings and for transforming a superspace group to new settings.
Help, Version History

How to cite ISO(3+d)D (cite each of the following):
H. T. Stokes, D. M. Hatch, and B. J. Campbell, ISO(3+d)D, ISOTROPY Software Suite, iso.byu.edu.
H. T. Stokes, B. J. Campbell, and S. van Smaalen, "Generation of (3+d)-Dimensional Superspace Groups for Describing the Symmetry of Modulated Crystalline Structures." Acta Cryst. A, 67, 45-55 (2011).
S. van Smaalen, B. J. Campbell, and H. T. Stokes, "Equivalence of Superspace Groups," Acta Cryst. A, 69, 75-90 (2013).

Select Notation

Default notation is xs1,xs2,xs3,xs4,...
Change notation to x,y,z,t,... or x1,x2,x3,x4,...

Tables

Nonmagnetic groups

(1) List of Bravais classes and superspace groups (pdf files)

(2) Description of each Bravais class and each superspace group (zip file containing text files)

(3) Data file (zip file containing text file which can be read by a computer program such as the Fortran 90 program read_ssg_datafile.f)

Magnetic groups

(1) List of magnetic superspace groups (pdf file)

(2) Data file (zip file containing text file which can be read by a computer program such as the Fortran 90 program read_ssg_datafile.f)

Note that truncated UNI symbols are used for the basic magnetic space groups. See the help file in ISO-MAG for more information.

Detailed information

(1) Choose group from list (nonmagnetic groups only)

(2) Enter superspace group number:
magnetic
show Wyckoff positions
Show Fourier coefficients for displacive and/or magnetic and/or occupational modulations
For additional options, see ISOSPACEGROUP.

Note that complete numbers can be replaced by the wildcard character (*).
Incomplete entries imply that all following numbers are replaced by *.

Finder tool

FINDSSG: enter centering translations and operators in any setting.

Transformation tool

TRANSFORMSSG: transform superspace group to an arbitrary setting.

Disclaimer and copyright notice

Disclaimer

The information on this web site is not necessarily comprehensive, complete, accurate or up to date. The authors and the owners of this web site do not accept responsibility or liability whatsoever with regard to the information on this site. If errors are brought to our attention, we will try to correct them. The authors and the owners of this web site reserve the right to remove the complete web site or parts of it at any time without previous notice.

External Links

Some Web pages may provide links to other Internet sites for the convenience of users. The authors and the owners of this web site are not responsible for the availability or content of these external sites, nor do they endorse, warrant, or guarantee the products, services, or information described or offered at these other Internet sites. It is the responsibility of the user to examine the copyright and licensing restrictions of linked pages and to secure all necessary permissions.

Copyright notice

© 2010 Harold T. Stokes, Branton Campbell and Sander van Smaalen.

The use of information obtained from this web site is authorised, provided the source is acknowledged. The redistribution of information, for example but not restricted to complete tables of superspace groups, is not allowed.