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Dnh group - D8h


D8h

Symmetry elements for the group

Spectroscopy active component

E

2C8

2(C8)3

2C4

C2 (z)

4C2'

4C2''

i

2(S8)3

2S8

2S4

sh

4sv

4sd

Microwave

IR

Raman

Symmetry label

A1g

1

1

1

1

1

1

1

1

1

1

1

1

1

1

 

 

x2+y2, z2

A2g

1

1

1

1

1

-1

-1

1

1

1

1

1

-1

-1

Rz

 

 

B1g

1

-1

-1

1

1

1

-1

1

-1

-1

1

1

1

-1

 

 

 

B2g

1

-1

-1

1

1

-1

1

1

-1

-1

1

1

-1

1

 

 

 

E1g

2

(2)

-(2)

0

-2

0

0

2

(2)

-(2)

0

-2

0

0

(Rx, Ry)

 

(xz, yz)

E2g

2

0

0

-2

2

0

0

2

0

0

-2

2

0

0

 

 

(x2-y2, xy)

E3g

2

-(2)

(2)

0

-2

0

0

2

-(2)

(2)

0

-2

0

0

 

 

 

A1u

1

1

1

1

1

1

1

-1

-1

-1

-1

-1

-1

-1

 

 

 

A2u

1

1

1

1

1

-1

-1

-1

-1

-1

-1

-1

1

1

 

z

 

B1u

1

-1

-1

1

1

1

-1

-1

1

1

-1

-1

-1

1

 

 

 

B2u

1

-1

-1

1

1

-1

1

-1

1

1

-1

-1

1

-1

 

 

 

E1u

2

(2)

-(2)

0

-2

0

0

-2

-(2)

(2)

0

2

0

0

 

(x, y)

 

E2u

2

0

0

-2

2

0

0

-2

0

0

2

-2

0

0

 

 

 

E3u

2

-(2)

(2)

0

-2

0

0

-2

(2)

-(2)

0

2

0

0

 

 

 

 

Dnh is the simplest point group that there is. An examples of this is:


Also contained in this group (Dnh group) is:   D2h  D3h D4h D5h D6h  D7h