International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2016). Vol. A, ch. 2.1, p. 147

## Table 2.1.2.4

Th. Hahna and M. I. Aroyoc
 Table 2.1.2.4| top | pdf | Graphical symbols of symmetry planes inclined to the plane of projection (in cubic space groups of classes and only)
DescriptionGraphical symbol for planes normal toGlide vector(s) (in units of the shortest lattice translation vectors) of the defining operation(s) of the glide plane normal toSymmetry element represented by the graphical symbol
[011] and [101] and [011] and [101] and
Reflection plane, mirror plane None None m
Axial' glide plane along [100] a or b
Axial' glide plane along or along [011]
Double' glide plane [in space groups (217) and (229) only] Two glide vectors: along [100] and along or along [011] Two glide vectors: along [010] and along or along [101] e
Diagonal' glide plane One glide vector: along or along [111] One glide vector: along or along [111] n
Diamond' glide plane§ (pair of planes) along or along [111] d
along or along
The symbols represent orthographic projections. In the cubic space-group diagrams, complete orthographic projections of the symmetry elements around high-symmetry points, such as ; ; , are given as inserts'.
In the space groups (216), (225) and (227), the shortest lattice translation vectors in the glide directions are or and or , respectively.
§Glide planes d occur only in orthorhombic F space groups, in tetragonal I space groups, and in cubic I and F space groups. They always occur in pairs with alternating glide vectors, for instance and . The second power of a glide reflection d is a centring vector.
The glide vector is half of a centring vector, i.e. one quarter of the diagonal of the conventional body-centred cell in space groups (220) and (230).