Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
78 0 8

can be reduced to

A1 A2 E
17 9 26

Substraction of translational and rotational contributions results in

A1 A2 E
16 8 24



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 72 72 16
quadratic 5184 2628 472
cubic 373248 64824 11000
quartic 26873856 1215450 203580
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 16 8 24
quadratic 472 404 876
cubic 11000 10624 21600
quartic 203580 201570 405150

Number of independant internal coordinates 16

Literature




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