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Cnh group - C6h


C6h

Symmetry elements for the group

Spectroscopy active component

E

C6 (z)

C3

C2

(C3)2

(C6)5

I

(S3)5

(S6)5

sh

S6

S3

Microwave

IR

Raman

Symmetry label

Ag

1

1

1

1

1

1

1

1

1

1

1

1

Rz

 

x2+y2, z2

Bg

1

-1

1

-1

1

-1

1

-1

1

-1

1

-1

     

E1g

1

e

-e*

-1

-e

e*

1

e

-e*

-1

-e

e*

Rx+iRy
Rx-iRy

 

(xz, yz)

1

e*

-e

-1

-e*

e

1

e*

-e

-1

-e*

e

E2g

1

-e*

-e

1

-e*

-e

1

-e*

-e

1

-e*

-e

 

z

(x2-y2, xy)

1

-e

-e*

1

-e

-e*

1

-e

-e*

1

-e

-e*

Au

1

1

1

1

1

1

-1

-1

-1

-1

-1

-1

     

Bu

1

-1

1

-1

1

-1

-1

1

-1

1

-1

1

     

E1u

1

e

-e*

-1

-e

e*

-1

-e

e*

1

e

-e*

 

x+iy
x-iy

 

1

e*

-e

-1

-e*

e

-1

-e*

e

1

e*

-e

E2u

1

-e*

-e

1

-e*

-e

-1

e*

e

-1

e*

e

     

1

-e

-e*

1

-e

-e*

-1

e

e*

-1

e

e*

e= exp(2pi/6)

 

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


Also contained in this group (Cnv group) is:   C2h  C3h C4h  C5h