Reduction formula for point group C6

Your representation

E C6 C3 C2 (C3)2 (C6)5
36 0 0 0 0 0

can be reduced to

A B E1 E2
6 6 6 6

Substraction of translational and rotational contributions results in

A B E1 E2
4 6 4 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B E1 E2
Infrared + - + -
Raman + - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 30 30 4
quadratic 900 465 83
cubic 27000 4960 832
quartic 810000 40920 6848
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 B E1 E2
linear 4 6 4 6
quadratic 83 72 76 79
cubic 832 828 818 832
quartic 6848 6792 6796 6844

Number of independant internal coordinates 4

Literature




Character tables for chemically important point groups Character table for point group C6 Jacobs University Bremen