International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2006). Vol. D, ch. 1.2, p. 61

Table 1.2.6.7 

T. Janssena*

aInstitute for Theoretical Physics, University of Nijmegen, 6524 ED Nijmegen, The Netherlands
Correspondence e-mail: ted@sci.kun.nl

Table 1.2.6.7| top | pdf |
Extra representations of double groups

222d E E [\pm]A [\pm]B [\pm]AB        
[\Gamma_{5}'] 2 −2 [0] [0] [0]        
422d E E [\pm]A2 [A] A [\pm]B [\pm]AB    
[\Gamma_{6}'] 2 −2 [0] [\sqrt{2}] [-\sqrt{2}] [0] [0]    
[\Gamma_{7}'] 2 −2 [0] [-\sqrt{2}] [\sqrt{2}] [0] [0]    
622d E E [A^{2}] A2 [\pm]B [\pm]A3 [A^{5}] A5 [\pm ]A3B
[\Gamma_{8}'] 2 −2 [1] −1 [0] [0] [\sqrt{3}] [-\sqrt{3}] [0]
[\Gamma_{9}'] 2 −2 [1] −1 [0] [0] [-\sqrt{3}] [\sqrt{3}] [0]
[\Gamma_{7}'] 2 −2 −2 [2] [0] [0] [0] [0] [0]
23d E E [A] A [A^{2}] A2 [\pm]B    
[\Gamma_{5}'] 2 −2 [1] −1 [1] −1 [0]    
[\Gamma_{6}'] 2 −2 [\omega] [\omega^{4}] [\omega^{2}] [\omega^{5}] [0]    
[\Gamma_{7}'] 2 −2 [\omega^{5}] [\omega^{2}] [\omega^{4}] [\omega] [0]    
432d E E [B] B [\pm]A2 [A] A [\pm]AB  
[\Gamma_{6}'] 2 −2 [1] −1 [0] [\sqrt{2}] [-\sqrt{2}] [0]  
[\Gamma_{7}'] 2 −2 [1] −1 [0] [-\sqrt{2}] [\sqrt{2}] [0]  
[\Gamma_{8}'] 4 −4 −1 [1] [0] [0] [0] [0]