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Dnh group - D7h


D7h

Symmetry elements for the group

Spectroscopy active component

E

2C7

2(C7)2

2(C7)3

7C'2

sh

2S7

2(S7)5

2(S7)3

7sv

Microwave

IR

Raman

Symmetry label

A'1

1

1

1

1

1

1

1

1

1

1

 

 

x2+y2, z2

A'2

1

1

1

1

-1

1

1

1

1

-1

Rz

 

 

E'1

2

2cos(2p/7)

2cos(4p/7)

2cos(6p/7)

0

2

2cos(2p/7)

2cos(4p/7)

2cos(6p/7)

0

 

(x, y)

 

E'2

2

2cos(4p/7)

2cos(6p/7)

2cos(2p/7)

0

2

2cos(4p/7)

2cos(6p/7)

2cos(2p/7)

0

 

 

(x2-y2, xy)

E'3

2

2cos(6p/7)

2cos(2p/7)

2cos(4p/7)

0

2

2cos(6p/7)

2cos(2p/7)

2cos(4p/7)

0

 

 

 

A''1

1

1

1

1

1

-1

-1

-1

-1

-1

 

 

 

A''2

1

1

1

1

-1

-1

-1

-1

-1

1

 

z

 

E''1

2

2cos(2p/7)

2cos(4p/7)

2cos(6p/7)

0

-2

-2cos(2p/7)

-2cos(4p/7)

-2cos(6p/7)

0

(Rx, Ry)

 

(xz, yz)

E''2

2

2cos(4p/7)

2cos(6p/7)

2cos(2p/7)

0

-2

-2cos(4p/7)

-2cos(6p/7)

-2cos(2p/7)

0

 

 

 

E''3

2

2cos(6p/7)

2cos(2p/7)

2cos(4p/7)

0

-2

-2cos(6p/7)

-2cos(2p/7)

-2cos(4p/7)

0

 

 

 

 

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


Also contained in this group (Dnh group) is:   D2h  D3h D4h D5h D6h  D8h