Automatic Representation Reducer (D6h)

Input the reducible representation and click the "Calculate" button

D_6h	E	2C₆	2C₃	C₂	3C₂'	3C₂''	i	2S₃	2S₆	s_h	3s_d	3s_v

Contributions to reducible representation:	A_1g:	A_2g:	B_1g:	B_2g:	E_1g:	E_2g:
	A_1u:	A_2u:	B_1u:	B_2u:	E_1u:	E_2u:

D_6h

	E	2C₆	2C₃	C₂	3C₂'	3C₂''	i	2S₃	2S₆	s_h	3s_d	3s_v
A_1g	1	1	1	1	1	1	1	1	1	1	1	1		x² + y², z²
A_2g	1	1	1	1	-1	-1	1	1	1	1	-1	-1	R_z
B_1g	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1
B_2g	1	-1	1	-1	-1	1	1	-1	1	-1	-1	1
E_1g	2	1	-1	-2	0	0	2	1	-1	-2	0	0	(R_x, R_y)	(xz, yz)
E_2g	2	-1	-1	2	0	0	2	-1	-1	2	0	0		(x² - y², xy)
A_1u	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1
A_2u	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	z
B_1u	1	-1	1	-1	1	-1	-1	1	-1	1	-1	1
B_2u	1	-1	1	-1	-1	1	-1	1	-1	1	1	-1
E_1u	2	1	-1	-2	0	0	-2	-1	1	2	0	0	(x, y)
E_2u	2	-1	-1	2	0	0	-2	1	1	-2	0	0

Author: Mike Hammond, University of Sheffield Department of Chemistry.
Last Modified: 13^th March 2000.