Reduction formula for point group C7

Your representation

E C7 (C7)2 (C7)3 (C7)4 (C7)5 (C7)6
42 0.0000 0.0000 -0.0000 -0.0000 0.0000 0.0000

can be reduced to

A E1 E2 E3
6 6 6 6

Substraction of translational and rotational contributions results in

A E1 E2 E3
4 4 6 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A E1 E2 E3
Infrared + + - -
Raman + + + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 36 36 4
quadratic 1296 666 98
cubic 46656 8436 1200
quartic 1679616 82251 11753
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 E1 E2 E3
linear 4 4 6 6
quadratic 98 97 94 93
cubic 1200 1204 1206 1208
quartic 11753 11752 11749 11748

Number of independant internal coordinates 4

Literature




Character tables for chemically important point groups Character table for point group C7 Jacobs University Bremen