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

International Tables for Crystallography (2006). Vol. A, ch. 2.2, p. 25

Table 2.2.7.1 

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 2.2.7.1| top | pdf |
Examples of origin statements

Example numberSpace group (No.)Origin statementMeaning of last symbol in E4–E11
E1 [P\bar{1}\ (2)] at [\bar{1}]  
E2 [P2/m\ (10)] at centre [(2/m)]  
E3 P222 (16) at 222  
E4 Pcca (54) at [\bar{1}] on 1ca [c \perp [010]], [ a \perp [001]]
E5 Cmcm (63) at centre [(2/m)] at [2/mc2_{1}] [2 \ \| \ [100]], [ m \perp [100]], [ c \perp [010]], [ 2_{1} \ \| \ [001]]
E6 Pcc2 (27) on cc2; short for: on 2 on cc2 [c \perp [100]], [ c \perp [010]], [ 2 \ \| \ [001]]
E7 P4bm (100) on 41g; short for: on 4 on 41g [4 \ \| \ [001]], [ g \perp [1\bar{1}0]] and [g \perp [110]]
E8 [P4_{2}mc\ (105)] on 2mm on [4_{2}mc] [4_{2} \ \| \ [001]], [ m \perp [100]] and [m \perp [010],] [c \perp\! [1\bar{1}0]\; \hbox{and}\;c \perp [110]]
E9 [P4_{3}2_{1}2\ (96)] on 2[110] at [2_{1} 1 (1,2)] [2_{1} \ \| \ [001]], 1 in [[1\bar{1}0]] and [2 \ \| \ [110]]
E10 [P3_{1} 21\ (152)] on 2[110] at [3_{1} (1,1,2)1] [3_{1} \ \| \ [001]], [ 2 \ \| \ [110]]
E11 [P3_{1} 12\ (151)] on 2[210] at [3_{1} 1(1,1,2)] [3_{1} \ \| \ [001]], [ 2 \ \| \ [210]]