Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
180 0 4

can be reduced to

A1 A2 E
32 28 60

Substraction of translational and rotational contributions results in

A1 A2 E
31 27 58



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 174 174 31
quadratic 30276 15225 2585
cubic 5268024 893200 149066
quartic 916636176 39524100 6589620
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 31 27 58
quadratic 2585 2490 5075
cubic 149066 148706 297714
quartic 6589620 6585080 13174700

Number of independant internal coordinates 31

Literature




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