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Cn group - C6


C6

Symmetry elements for the group

Spectroscopy active component

E

C6

C3

C2

(C3)2

(C6)5

Microwave

IR

Raman

Symmetry label

A

1

1

1

1

1

1

Rz

z,

x2+y2, z2

B

1

-1

1

-1

1

-1

 

 

 

E1

1

e

-e

-1

-e

e*

x+iy; Rx+iRy
x-iy; Rx-iRy

x+iy;
x-iy;

(xz, yz)

1

e

-e

-1

-e

e

E2

1

-e*

-e

+1

-e*

-e

 

 

(x2-y2, xy)

1

-e

-e

+1

-e

-e

Where e = exp(2pi/6)

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 C5  C7  C8