Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
51 0 5

can be reduced to

A1 A2 E
11 6 17

Substraction of translational and rotational contributions results in

A1 A2 E
10 5 15



Force field analysis

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

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 45 45 10
quadratic 2025 1035 190
cubic 91125 16215 2775
quartic 4100625 194580 32720
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 E
linear 10 5 15
quadratic 190 155 345
cubic 2775 2640 5400
quartic 32720 32140 64860

Number of independant internal coordinates 10

Literature




Character tables for chemically important point groups Character table for point group C3v Jacobs University Bremen