Reduction formula for point group C5v

Your representation

E 2C5 (z) 2(C5)2 5v
30 0.0000 -0.0000 2

can be reduced to

A1 A2 E1 E2
4 2 6 6

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
3 1 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 3
quadratic 576 300 38
cubic 13824 2600 271
quartic 331776 17550 1808
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 3 1 4 6
quadratic 38 24 61 58
cubic 271 245 520 522
quartic 1808 1704 3511 3508

Number of independant internal coordinates 3

Literature




Character tables for chemically important point groups Character table for point group C5v Jacobs University Bremen