Reduction formula for point group C5v

Your representation

E 2C5 (z) 2(C5)2 5v
36 3.2361 -1.2361 4

can be reduced to

A1 A2 E1 E2
6 2 8 6

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
5 1 6 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 30 30 5
quadratic 900 465 58
cubic 27000 4960 532
quartic 810000 40920 4220
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 5 1 6 6
quadratic 58 35 93 93
cubic 532 460 992 992
quartic 4220 3964 8184 8184

Number of independant internal coordinates 5

Literature




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