International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2006). Vol. B. ch. 2.5, p. 290   | 1 | 2 |

Table 2.5.3.3 

P. Goodmanb

Table 2.5.3.3| top | pdf |
Diffraction point-group tables, giving whole-pattern and central-beam pattern symmetries in terms of BESR diffraction-group symbols and diperiodic group symbols

IIIIIIIVV
Whole patternBright field (central beam)BESR groupDiperiodic group (point group)Cubic point groups
[100][110]
1 1 1 1    
1 2 [\underline{1}_{R}] m    
2 2 2 2    
1 1 [^{*}2_{R}] [{\bar 1}^{\prime}]    
2 2 [^{*}\underline{21}_{R}] [2/m']    
1 m [m_{R}] 2′   23
m m m m    
m 2mm [\underline{m1}_{R}] 2′mm   [\bar{4}3m]
2 2mm [2m_{R}m_{R}] 2′2′2 23 432
2mm 2mm 2mm mm2    
m m [^{*}2_{R}mm_{R}] [2'/m]   m [\bar{3}]
2mm 2mm [^{*}\underline{2mm1}_{R}] mmm m [\bar{3}] m [\bar{3}] m
4 4 4 4    
2 4 [4_{R}] [\bar{4}']    
4 4 [^{*}\underline{41}_{R}] [4/m']    
4 4mm [4m_{R}m_{R}] [42'2'] [\bar{4}32]  
4mm 4mm 4mm 4mm    
2mm 4mm [4_{R}mm_{R}] [\bar{4}'m2'] [\bar{4}3m]  
4mm 4mm [^{*}\underline{4mm1}_{R}] [4/m'mm] m [\bar{3}] m  
3 3 3 3    
3 6 [\underline{31}_{R}] [\bar{6}']    
3 3m [3m_{R}] 32′    
3m 3m 3m 3m    
3m 6mm [\underline{3m1}_{R}] [\bar{6}'m2']    
6 6 6 6    
3 3 [^{*}6_{R}] [\bar{3}']    
6 6 [^{*}\underline{61}_{R}] [6/m']    
6 6mm [6m_{R}m_{R}] [62'2']    
6mm 6mm 6mm 6mm    
3m 3m [^{*}6_{R}mm_{R}] [\bar{3}'m]    
6mm 6mm [^{*}\underline{6mm1}_{R}] [6/m'mm]