Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
60 0 0

can be reduced to

A1 A2 E
10 10 20

Substraction of translational and rotational contributions results in

A1 A2 E
10 8 18



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 54 54 10
quadratic 2916 1485 262
cubic 157464 27720 4654
quartic 8503056 395010 66052
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 8 18
quadratic 262 233 495
cubic 4654 4598 9234
quartic 66052 65618 131670

Number of independant internal coordinates 10

Literature




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