The superspace groups are given here as in the International Tables for Crystallography (1999), Volume C, Table 9.8.3.5. with double glide plane (symbol e) introduced according to latest notations of Volume A (2002).

The number labelling the superspace group is denoted by n.m, where n is the number attached to the three-dimensional basic space group and m numbers the various superspace groups having the same basic space group. The symbol of the basic space group, the symbol for the four-dimensional point group Ks the number of the four-dimensional Bravais class to which the superspace group belongs (see complete table of Bravais classes), and the superspace-group symbol are also given.

The superspace-group symbol is indicated in the short notation, i.e. for the basic group one uses the short symbol from Int.Tables, vol.A, and then the values of t are given for each of the generators in this symbol, unless all these values are zero. Then, instead of writing a number of zeros, one omits them all.

Please, note that the special reflection conditions due to non-primitive translations are given, for hklm if qr=0 and for HKLm otherwise. Recall the HKLm are the indices with respect to a conventional basis a*c , b*c , c*c , qi as in Int.Tables, vol.C, Table 9.8.3.2(a). The reflection conditions due to centring translations are given in the same volume in Table 9.8.3.6.

Triclinic
Monoclinic
Orthorhombic
Tetragonal
Trigonal
Hexagonal
Latest changes on this page
9.05.2005 Now you might visualise symmetry operations by clicking nearby a group name. Help of Vaclav Petricek (Prague) in the preparation of the list is gratefully acknowledged.
6.05.2005 Since now we use symbol e ('double' glide plane) in some orthorhombic groups, as required by latest edition of IT, volume A(2002), p.5.

Do you wish to see 3D space group resulting from a (3+1)D group ?
Click on any superspace group name in this table to examine its derivatives in
Superspace Group Finder
Please, report any typos and suggestions to Ivan.Orlov@epfl.ch
WOP!WEB Services for web sites... FREE!