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There are 230 space groups in three dimensions, given by a number index, and a full name in Hermann–Mauguin notation, and a short name (international short symbol). The long names are given with spaces for readability. The groups each have a point group of the unit cell.
Space Group Diagrams and Tables. Birkbeck College, University of London. ...
Learn about the 230 space groups that describe the symmetry of crystal structures in three dimensions. See how they are classified by crystal system, Laue class, crystal class, lattice centring, and symmetry elements.
Lattice type: R Symmetry operators: x, y, z -y, x-y, z -x+y, -x, z -y, -x, z -x+y, y, z x, x-y, z -x, -y, -z y, -x+y, -z x-y, x, -z y, x, -z x-y, -y, -z -x, -x+y, -z ...
This document is part of Subvolume A6 ‘Structure Types. Part 6: Space Groups (166) R-3 m - (160) R 3 m ’ of Volume 43 ‘Crystal Structures of Inorganic Compounds’ of Landolt-Börnstein - Group III ‘Condensed Matter’.
Part 6: Space Groups (166) R-3m - (160) R3m · Ca2.95Fe14.85O25 P. Villars, K. Cenzual, J. Daams, R. Gladyshevskii, O. Shcherban, V. Dubenskyy, N. Melnichenko-Koblyuk, O. Pavlyuk, I. Savysyuk, S. Stoyko, L. Sysa
The hexagonal crystal system consists of the 7 point groups that have a single six-fold rotation axis. These 7 point groups have 27 space groups (168 to 194), all of which are assigned to the hexagonal lattice system.
