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Dnd group - D5d


D5d

Symmetry elements for the group

Spectroscopy active component

E

2C5

2(C5)2

5C'2

i

2(S10)3

2S10

5sd

Microwave

IR

Raman

Symmetry label

A1g

1

1

1

1

1

1

1

1

 

 

x2+y2, z2

A2g

1

1

1

-1

1

1

1

-1

Rz

 

 

E1g

2

2cos(2p/5)

2cos(4p/5)

0

2

2cos(2p/5)

2cos(4p/5)

0

(Rx, Ry)

 

(xz, yz)

E2g

2

2cos(4p/5)

2cos(2p/5)

0

2

2cos(4p/5)

2cos(2p/5)

0

 

 

(x2-y2, xy)

A1u

1

1

1

1

-1

-1

-1

-1

 

 

 

A2u

1

1

1

-1

-1

-1

-1

1

 

z

 

E1u

2

2cos(2p/5)

2cos(4p/5)

0

-2

-2cos(2p/5)

-2cos(4p/5)

0

 

(x, y)

 

E2u

2

2cos(4p/5)

2cos(2p/5)

0

-2

-2cos(4p/5)

-2cos(2p/5)

0

 

 

 

(x axis coincident with C'2 axis)

 

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


Also contained in this group (Dnd group) is:   D2d  D3d D4d D6d  D7d  D8d