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

International Tables for Crystallography (2006). Vol. A, ch. 2.2, p. 29

Table 2.2.13.1 

Th. Hahna* and A. Looijenga-Vosb

aInstitut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany, and bLaboratorium voor Chemische Fysica, Rijksuniversiteit Groningen, The Netherlands
Correspondence e-mail:  hahn@xtl.rwth-aachen.de

Table 2.2.13.1| top | pdf |
Integral reflection conditions for centred cells (lattices)

Reflection conditionCentring type of cellCentring symbol
None Primitive [\left\{\matrix{P\cr R\cr}\right.][{\lower6pt\hbox{(rhombohedral axes)}}]
[h + k = 2n] C-face centred C
[k + l = 2n] A-face centred A
[h + l = 2n] B-face centred B
[h + k + l = 2n] Body centred I
[h + k, h + l] and All-face centred F
[k + l = 2n] or:    
[h, k, l] all odd or all even (`unmixed')    
[{-h + k + l = 3n}] Rhombohedrally centred, obverse setting (standard) [\!\!\left.{\matrix{{}\cr{}\cr{}\cr{}\cr{}\cr{}}}\right\}{R}] (hexagonal axes)
[h - k + l = 3n] Rhombohedrally centred, reverse setting
[h - k = 3n] Hexagonally centred H
For further explanations see Chapters 1.2[link] and 2.1[link] .
For the use of the unconventional H cell, see Chapter 1.2[link] .