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

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

Section 4.2.3. Multiple cells

E. F. Bertauta

aLaboratoire 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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