d2h - Point Group Symmetry Character Tables - Chemistry Online Education

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Linear
C_∞v
D_∞h

D_2h Point Group

Abelian, 8 irreducible representations

Subgroups of D_2h point group: C_s, C_i, C₂, C_2v, C_2h

Character table for D_2h point group

	E	C₂ (z)	C₂ (y)	C₂ (x)	i	σ (xy)	σ (xz)	σ (yz)	linear, rotations	quadratic
A_g	1	1	1	1	1	1	1	1		x², y², z²
B_1g	1	1	-1	-1	1	1	-1	-1	R_z	xy
B_2g	1	-1	1	-1	1	-1	1	-1	R_y	xz
B_3g	1	-1	-1	1	1	-1	-1	1	R_x	yz
A_u	1	1	1	1	-1	-1	-1	-1
B_1u	1	1	-1	-1	-1	-1	1	1	z
B_2u	1	-1	1	-1	-1	1	-1	1	y
B_3u	1	-1	-1	1	-1	1	1	-1	x

Product table for D_2h point group

Printable: character table for D_2h product table for D_2h D_2h point group