International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

International Tables for Crystallography (2006). Vol. A. ch. 1.4, p. 8

## Section 1.4.3. Symmetry planes inclined to the plane of projection (in cubic space groups of classes and only)

Th. Hahna*

aInstitut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany
Correspondence e-mail: hahn@xtal.rwth-aachen.de

### 1.4.3. Symmetry planes inclined to the plane of projection (in cubic space groups of classes and only)

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Symmetry planeGraphical symbol for planes normal toGlide vector in units of lattice translation vectors for planes normal toPrinted symbol
[011] and [101] and [011] and [101] and
Reflection plane, mirror plane None None m
Axial' glide plane lattice vector along [100] a or b
Axial' glide plane lattice vector 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; in centred cells only) 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'.
For further explanations of the `double' glide plane e see Note (iv) below and Note (x) in Section 1.3.2 .
§In the space groups (216), (225) and (227), the shortest lattice translation vectors in the glide directions are or and or , respectively.
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).
††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.