Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
180 0 0

can be reduced to

A1 A2 E
30 30 60

Substraction of translational and rotational contributions results in

A1 A2 E
30 28 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 30
quadratic 30276 15225 2582
cubic 5268024 893200 148974
quartic 916636176 39524100 6589352
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 30 28 58
quadratic 2582 2493 5075
cubic 148974 148798 297714
quartic 6589352 6585348 13174700

Number of independant internal coordinates 30

Literature




Character tables for chemically important point groups Character table for point group D3 Jacobs University Bremen