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Cnh group - C4h


C4h

Symmetry elements for the group

Spectroscopy active component

E

C4(z)

C2

(C4)3

i

(S4)3

sh

S4

Microwave

IR

Raman

Symmetry label

Ag

1

1

1

1

1

1

1

1

 

Rz

x2+y2, z2

Bg

1

-1

1

-1

1

-1

1

-1

   

x2-y2, xy

Eg

1

i

-1

-i

1

i

-1

-i

Rx+iRy
Rx-iRy

 

(xz, yz)

1

-i

-1

i

1

-i

-1

i

Au

1

1

1

1

-1

-1

-1

-1

 
z
 

Bu

1

-1

1

-1

-1

1

-1

1

     

Eu

1

i

-1

-i

-1

-i

1

i

 

x+iy
x-iy

 

1

-i

-1

i

-1

i

1

-i

e = exp(2pi/4)

 

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


Also contained in this group (Cnv group) is:   C2h  C3h C5h  C6h