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

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. A. ch. 4.2, p. 61

Section 4.2.3. Multiple cells

E. F. Bertauta‡

a Laboratoire de Cristallographie, CNRS, Grenoble, France

4.2.3. Multiple cells

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The c cell in the square system is defined as follows: [{\bf a}' = {\bf a} \mp {\bf b}{\hbox{;}} \quad {\bf b}' = \pm {\bf a} + {\bf b},] with `centring points' at 0, 0; [{1 \over 2},{1 \over 2}]. It plays the same role as the three-dimensional C cell in the tetragonal system (cf. Section 4.3.4[link] ).

Likewise, the triple cell h in the hexagonal system is defined as follows: [{\bf a}' = {\bf a} - {\bf b}{\hbox{;}} \quad {\bf b}' = {\bf a} + 2{\bf b},] with `centring points' at 0, 0; [{2 \over 3}, {1 \over 3}{\hbox{;}} {1 \over 3}, {2 \over 3}]. It is the two-dimensional analogue of the three-dimensional H cell (cf. Chapter 1.2[link] and Section 4.3.5[link] ).








































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