Reduction formula for point group C5v

Your representation

E 2C5 (z) 2(C5)2 5v
180 0.0000 -0.0000 4

can be reduced to

A1 A2 E1 E2
20 16 36 36

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
19 15 34 36



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 174 174 19
quadratic 30276 15225 1571
cubic 5268024 893200 89498
quartic 916636176 39524100 3954681
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 19 15 34 36
quadratic 1571 1476 3046 3043
cubic 89498 89138 178640 178642
quartic 3954681 3950141 7904821 7904818

Number of independant internal coordinates 19

Literature




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