Physical Chemistry , 1st ed.

D2h EC 2 C 2 C 2

 i (xy) (yz) (xz)

Ag 111111 1 1 x^2 ,y^2 ,z^2

B1g 11  1 11 1  1  1 Rz,xy

B2g 1  11  11  11  1 Ry,xz

B3g 1  1 11 1 1  11 Rx,yz

Au 1111  1  1  1  1

B1u 11  1  1  1  11 1 z

B2u 1  11  1  11  11 y

B3u 1  1  11  11 1  1 x

D3h E 2 C 3 3 C 2 h 2 S 3 3 v

A 1 111111 x^2 y^2 ,z^2

A 2 11 11 1  1 Rz

E 2 10 2 10 (x,y)(x^2 y^2 ,xy)

A 1

 11 1  1  1  1

A 2

 11  1  1  11 z

E 2  10  21 0 (Rx,Ry)

D4h E 2 C 4 C 2 2 C 2 2 C 2
i 2 S 4 h (^2) v (^2) d
A1g 11 1 1 1 1 1 1 1 1 x^2 y^2 ,z^2
A2g 11 1 1 11 1 1 1  1 Rz
B1g 1 11 1  11 11 1  1 x^2 y^2
B2g 1  11  11 1  11 1 1 xy
Eg 20  20 0 2 0  20 0 (Rx,Ry)(xz,yz)
A1u 11 1 1 1  1  1  1  1  1
A2u 11 1 1  1  1  1  11 1 z
B1u 1 11 1  1  11  1 1 1
B2u 1  11  11  11  11  1
Eu 20  20 0  2 0 2 0 0 (x,y)
Appendix 3 Character Tables 799
D6h E 2 C 6 2 C 3 C 2 3 C 2 3 C 2
i 2 S 3 2 S 6 h (^3) d (^3) v
A1g 1 11111111111x^2 y^2 ,z^2
A2g 1111  1  11111  1  1 Rz
B1g 1  11  11  11  11  11  1
B2g 1  11  1 11 1  11  1  11
E1g 21  1  20021  1 200(Rx,Ry)(xz,yz)
E2g 2  1  12002  1 1200(x^2 y^2 ,xy)
A1u 111111  1  1  1  1  1  1
A2u 1111  1  1  1  1  1 11 1 z
B1u 1  11  11  1  11  11  11
B2u 1  11  1  11  11 11 1  1
E1u 21  1 20 0  2 11200(x,y)
E2u 2  1  1200 21 1 20 0
D2d E 2 S 4 C 2 2 C 2 2 d
A 1 11 1 1 1 x^2 y^2 ,z^2
A 2 11 1  1  1 Rz
B 1 1 11 1  1 x^2 y^2
B 2 1  11  11 z,xy
E 20  20 0 (x,y)(Rx,Ry)(xz,yz)