Physical Chemistry , 1st ed.

D3d E 2 C 3 3 C 2 i 2 S 6 3 d

A1g 11 1 1 1 1 x^2 y^2 ,z^2

A2g 11 11 1 1 Rz

Eg 2  10 2  10 (Rx,Ry)(x^2 y^2 ,xy)(xz,yz)

A1u 11 1  1  1  1

A2u 11  1  1  11 z

Eu 2  10  21 0 (x,y)

D4d E 2 S 8 2 C 4 2 S^38 C 2 4 C 2 4 d

A 1 11 1 1 1 1 1 x^2 y^2 ,z^2

A 2 11 1 1 1  1  1 Rz

B 1 1  11 11 1 1

B 2 1  11  11  11 z

E 1 1 2 0  2 20 0 (x,y)

E 2 10  20 2 0 0 (x^2 y^2 ,xy)

E 3 1  2 0 2 20 0 (Rx,Ry)(xz,yz)

Td E 8 C 3 3 C 2 6 S 4 6 d

A 1 11111 x^2 y^2 z^2

A 2 11 1  1  1

E 2 12 0 0 (x^2 y^2 ,2z^2 x^2 y^2 )

T 1 30  11 1 (Rx,Ry,Rz)

T 2 30  1  11 (x,y,z)(xy,xz,yz)

800 APPENDIXES

Oh E 8 C 3 3 C 2 6 C 4 6 C 2 i 8 S 6 3 h 6 S 4 6 d

A1g 11111 11111 x^2 y^2 z^2

A2g 11 1  1 11 1 1  1  1

Eg 2 1200 2 12 0 0 (x^2 y^2 ,2z^2 x^2 y^2 )

T1g 30  11 13 0  11 1(Rx,Ry,Rz)

T2g 30  1 11 3 0  1  11 (xy,xz,yz)

A1u 11111  1  1  1  1  1

A2u 11 1  1  1  1  1 11 1

Eu 2  1200  21 20 0

T1u 30  11  1  30 1  11 (x,y,z)

T2u 30  1  11  30 1 1  1

Cv E 2 C  (^) v any angle
 1 1 1 z,x^2 y^2 ,z^2
 1 1  1 Rz
 2 2 cos  0 (x,y)(Rx,Ry)(xz,yz)
2 2 cos 2 0(x^2 y^2 ,xy)
 2 2 cos 3 0
....
....
....
j 2 2 cos j 0