BRVLTTīRaVais LaTTice, the type of Bravais lattice. International Tables of Crystallography, 1986 edition. they correspond to the actual choices in the Rock Salt structured and crystallizes in the cubic Fm-3m space group. SPGORIG SPace Group ORIGin, the position of the origin in the unit cell. For ESI and crystallographic data in CIF or other electronic format see DOI: 10.

Monoclinic: 3 or 9 possibilities depending on the space group.

SPace Group AXis ORientation, the orientation of the unit cell axis.

Just as the non-translational symmetry elements can be combined into point group symbols that describe the symmetry of finite groups, so the symmetry of infinite arrays can be summarized and symbolized. The table entries are as follows: SPGROUP SPace GROUP number as found in the International Tables of Crystallography, 1983 edition. The space group of the pattern is determined by first entering the symmetry elements into the figure using conventional crystallographic designations. International Tables for X-Ray Crystallography, Up: Symmetry Previous: 3. This list of symmetry groups is part of the on-line help of the ABINIT code.īesides classical crystallographic information, it provides the values ofĬertain symmetry-related variables used in the input file of the ABINIT code. This page presents the list of the 230 3D symmetry space groups withĬharacteristics, and also, if applicable, derivatives of the space group. The d glide is often called the diamond glide plane as it features in the diamond structure.YAML-based test suite Python tools and API For non-crystallographers, who make up the vast majority of students in crystallography classes, some half a dozen suitably chosen patterns, if extensively dealt with, should normally be adequate to develop some desirable skill in recognising a space group and to convey a sufficient understanding of the subject for practical purposes. There is also the n glide, which is a glide along the half of a diagonal of a face, and the d glide, which is along a quarter of either a face or space diagonal of the unit cell. F face centered (from the German 'Flächenzentriert')Ī reflection plane m within the point groups can be replaced by a glide plane, labeled as a, b, or c depending on which axis the glide is along.I body centered (from the German 'Innenzentriert').

These are the Bravais lattices in three dimensions: Translations within the lattice in the form of screw axes and glide planes are also noted, giving a complete crystallographic space group. There are subtle differences compared to International Tables for Crystallography Volume B (ITVB), 2001, pp. In Hermann–Mauguin notation, space groups are named by a symbol combining the point group identifier with the uppercase letters describing the lattice type.

Crystallography space group