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

International Tables for Crystallography (2016). Vol. A, ch. 2.1, p. 157

Section Cubic space groups

Th. Hahna and A. Looijenga-Vosb Cubic space groups

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For each cubic space group, one projection of the symmetry elements along [001] is given, Fig.[link]; for details of the diagrams, see Section 2.1.2[link] and Buerger (1956)[link]. For face-centred lattices F, only a quarter of the unit cell is shown; this is sufficient since the projected arrangement of the symmetry elements is translation-equivalent in the four quarters of an F cell. It is important to note that symmetry axes inclined to the projection plane are indicated where they intersect the plane of projection. Symmetry planes inclined to the projection plane that occur in classes [\bar{4}3m] and [m\bar{3}m] are shown as `inserts' around the high-symmetry points, such as [0,0,0]; [\textstyle{{1}\over{2}},0,0]; etc.


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Cubic space groups. [\hbox{\sf G}] = general-position diagram, in which the equivalent positions are shown as the vertices of polyhedra.

The cubic diagrams given in IT (1935)[link] are different from the ones used here. No drawings for cubic space groups were provided in IT (1952)[link].


International Tables for X-ray Crystallography (1952). Vol. I, edited by N. F. M. Henry & K. Lonsdale. Birmingham: Kynoch Press. [Revised editions: 1965, 1969 and 1977. Abbreviated as IT (1952).]
Internationale Tabellen zur Bestimmung von Kristallstrukturen (1935). 1. Band, edited by C. Hermann. Berlin: Borntraeger. [Revised edition: Ann Arbor: Edwards (1944). Abbreviated as IT (1935).]
Buerger, M. J. (1956). Elementary Crystallography. New York: Wiley.

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