Reduction formula for point group D3h

Your representation

E 2C3 (z) 3C'2 h (xy) 2S3 3v
36 0 0 12 0 0

can be reduced to

A'1 A'2 E' A''1 A''2 E''
4 4 8 2 2 4

Substraction of translational and rotational contributions results in

A'1 A'2 E' A''1 A''2 E''
4 3 7 2 1 3



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A'1 A'2 E' A''1 A''2 E''
Infrared - - + - + -
Raman + - + - - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 30 30 4
quadratic 900 465 54
cubic 27000 4960 463
quartic 810000 40920 3654
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 A'1 A'2 E' A''1 A''2 E''
linear 4 3 7 2 1 3
quadratic 54 38 92 32 31 63
cubic 463 447 903 383 367 747
quartic 3654 3518 7172 3242 3226 6468

Number of independant internal coordinates 4

Literature




Character tables for chemically important point groups Character table for point group D3h Jacobs University Bremen