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Cn group - C7


C7

Symmetry elements for the group

Spectroscopy active component

E

C7

(C7)2

(C7)3

(C7)4

(C7)5

(C7)6

Microwave

IR

Raman

Symmetry label

A

1

1

1

1

1

1

1

Rz

z,

x2+y2, z2

E1

1

e

e2

e3

e3*

e2*

e*

Rx+iRy
Rx-iRy

x+iy
x-iy

(xz, yz)

+1

e*

e2*

e3*

e3

e2

e

E2

+1

e2

e3*

e*

e

e3

e2*

 

 

(x2-y2, xy)

+1

e2*

e3

e

e*

e3*

e2

E3

+1

e3

e*

e2

e2*

e

e3*

 

 

 

+1

e3*

e

e2*

e2

e*

e3

Where e = exp(2pi/7)

 

Cn 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 C6  C8