d4h - 点群対称性の指標表

d4h - 点群対称性の指標表

非軸対称
C₁
C_s
C_i

C_n
C₂
C₃
C₄
C₅
C₆

C_nv
C_2v
C_3v
C_4v
C_5v
C_6v

C_nh
C_2h
C_3h
C_4h
C_5h
C_6h

D_n
D₂
D₃
D₄
D₅
D₆

D_nh
D_2h
D_3h
D_4h
D_5h
D_6h

D_nd
D_2d
D_3d
D_4d
D_5d
D_6d

S_n
S₄
S₆
S₈
S₁₀

高次
T_d
O_h
I_h

線形
C_∞v
D_∞h

D_4h 点群

非アーベル群, 10(12)既約表現

D_4h点群の部分群: C_s, C_i, C₂, C₄, D₂, D₄, C_2v, C_4v, C_2h, C_4h, D_2h, D_2d, S₄

D_4h点群の指標表

	E	2C₄ (z)	C₂	2C'₂	2C''₂	i	2S₄	σ_h	2σ_v	2σ_d	linears, rotations	quadratic
A_1g	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	R_z
B_1g	1	-1	1	1	-1	1	-1	1	1	-1		x²-y²
B_2g	1	-1	1	-1	1	1	-1	1	-1	1		xy
E_g	2	0	-2	0	0	2	0	-2	0	0	(R_x, R_y)	(xz, yz)
A_1u	1	1	1	1	1	-1	-1	-1	-1	-1
A_2u	1	1	1	-1	-1	-1	-1	-1	1	1	z
B_1u	1	-1	1	1	-1	-1	1	-1	-1	1
B_2u	1	-1	1	-1	1	-1	1	-1	1	-1
E_u	2	0	-2	0	0	-2	0	2	0	0	(x, y)

D_4h点群の積表

	A_1g	A_2g	B_1g	B_2g	E_g	A_1u	A_2u	B_1u	B_2u	E_u
A_1g	A_1g	A_2g	B_1g	B_2g	E_g	A_1u	A_2u	B_1u	B_2u	E_u
A_2g	A_2g	A_1g	B_2g	B_1g	E_g	A_2u	A_1u	B_2u	B_1u	E_u
B_1g	B_1g	B_2g	A_1g	A_2g	E_g	B_1u	B_2u	A_1u	A_2u	E_u
B_2g	B_2g	B_1g	A_2g	A_1g	E_g	B_2u	B_1u	A_2u	A_1u	E_u
E_g	E_g	E_g	E_g	E_g	A_1g+A_2g+B_1g+B_2g	E_u	E_u	E_u	E_u	A_1u+A_2u+B_1u+B_2u
A_1u	A_1u	A_2u	B_1u	B_2u	E_u	A_1g	A_2g	B_1g	B_2g	E_g
A_2u	A_2u	A_1u	B_2u	B_1u	E_u	A_2g	A_1g	B_2g	B_1g	E_g
B_1u	B_1u	B_2u	A_1u	A_2u	E_u	B_1g	B_2g	A_1g	A_2g	E_g
B_2u	B_2u	B_1u	A_2u	A_1u	E_u	B_2g	B_1g	A_2g	A_1g	E_g
E_u	E_u	E_u	E_u	E_u	A_1u+A_2u+B_1u+B_2u	E_g	E_g	E_g	E_g	A_1g+A_2g+B_1g+B_2g

印刷可能なD_4h点群
D_4h点群の印刷可能な指標表
D_4h点群の印刷可能な積表

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