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Cn group - C5


C5

Symmetry elements for the group

Spectroscopy active component

E

C5

(C5)2

(C5)3

(C5)4

Microwave

IR

Raman

Symmetry label

A

1

1

1

1

1

Rz

z,

x2+y2, z2

E1

1

e

e2

e2*

e*

Rx+iRy
Rx-iRy-

x+iy,
x-iy,

(yz, xz)

1

e*

e2*

e2

e

E2

1

e2

e*

e

e2*

 

 

(x2-y2, xy)

1

e2*

e

e*

e2

  Where e= exp(2pi/5)

C2 is the simplest point group that there is. An examples of this is:


Also contained in this group (Cn group) is: C2 C3  C4 C6  C7  C8