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Dnh group - D5h


D5h

Symmetry elements for the group

Spectroscopy active component

 

E

2C5

2(C5)2

5C'2

sh

2S5

2(S5)3

5sv

Microwave

IR

Raman

 

Symmetry label

A'1

1

1

1

1

1

1

1

1

 

 

x2+y2, z2

A'2

1

1

1

-1

1

1

1

-1

Rz

 

 

E'1

2

2cos(2p/5)

2cos(4p/5)

0

2

2cos(2p/5)

2cos(4p/5)

0

 

(x, y)

 

E'2

2

2cos(4p/5)

2cos(2p/5)

0

2

2cos(4p/5)

2cos(2p/5)

0

 

 

(x2-y2, xy)

A''1

1

1

1

1

-1

-1

-1

-1

 

 

 

A''2

1

1

1

-1

-1

-1

-1

1

 

z

 

E''1

2

2cos(2p/5)

2cos(4p/5)

0

-2

-2cos(2p/5)

-2cos(4p/5)

0

(Rx, Ry)

 

(xz, yz)

E''2

2

2cos(4p/5)

2cos(2p/5)

0

-2

-2cos(4p/5)

-2cos(2p/5)

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 D6h  D7h  D8h