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Cnh group - C5h


C5h

Symmetry elements for the group

Spectroscopy active component

E

C5

(C5)2

(C5)3

(C5)4

sh

S5

(S5)7

(S5)3

(S5)9

Microwave

IR

Raman

Symmetry label

A'

1

1

1

1

1

1

1

1

1

1

Rz

x2+y2, z2

E'1

1

e

e2

e2*

e*

1

e

e2

e2*

e*

 

x+iy
x-iy

1

e*

e2*

e2

e

1

e*

e2*

e2

e

E'2

1

e2

e*

e

e2*

1

e2

e*

e

e2*

 

(x2-y2, xy)

1

e2*

e

e*

e2

1

e2*

e

e*

e2

A''

1

1

1

1

1

-1

-1

-1

-1

-1

 

z

E''1

1

e

e2

e2*

e*

-1

-e

-e2

-e2*

-e*

Rx+iRy
Rx-iRy

(xz, yz)

1

e*

e2*

e2

e

-1

-e*

-e2*

-e2

-e

E''2

1

e2

e*

e

e2*

-1

-e2

-e*

-e

-e2*

     

1

e2*

e

e*

e2

-1

-e2*

-e

-e*

-e2

e = exp(2pi/5)

 

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  C6h