Space Groups
The space groups with given point group are numbered by 1, 2, 3, ... (in the same order as their international number) and this number is added as a superscript to the Schönflies symbol for the corresponding point group. For example, groups numbers 3 to 5 whose point group is C2 have Schönflies symbols C1
2, C2
2, C3
2.
While in case of point groups, Schönflies symbol defines the symmetry elements of group unambiguously, the additional superscript for space group doesn't have any information about translational symmetry of space group (lattice centering, translational components of axes and planes), hence one needs to refer to special tables, containing information about correspondence between Schönflies and Hermann–Mauguin notation. For example International Tables contains this table.
Read more about this topic: Schoenflies Notation
Famous quotes containing the words space and/or groups:
“At first thy little being came:
If nothing once, you nothing lose,
For when you die you are the same;
The space between, is but an hour,
The frail duration of a flower.”
—Philip Freneau (1752–1832)
“Only the groups which exclude us have magic.”
—Mason Cooley (b. 1927)