Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
30 0.0000 -0.0000 -2

can be reduced to

A1 A2 E1 E2
2 4 6 6

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
2 2 4 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E1 E2
Infrared - + + -
Raman + - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 24 24 2
quadratic 576 300 37
cubic 13824 2600 258
quartic 331776 17550 1795
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field A1 A2 E1 E2
linear 2 2 4 6
quadratic 37 25 61 58
cubic 258 258 520 522
quartic 1795 1717 3511 3508

Number of independant internal coordinates 2

Literature




Character tables for chemically important point groups Character table for point group D5 Jacobs University Bremen