Reduction formula for point group C7v

Your representation

E 2C7 2(C7)2 2(C7)3 7v
42 0.0000 0.0000 -0.0000 2

can be reduced to

A1 A2 E1 E2 E3
4 2 6 6 6

Substraction of translational and rotational contributions results in

A1 A2 E1 E2 E3
3 1 4 6 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E1 E2 E3
Infrared + - + - -
Raman + - + + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 36 36 3
quadratic 1296 666 59
cubic 46656 8436 619
quartic 1679616 82251 5981
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 E1 E2 E3
linear 3 1 4 6 6
quadratic 59 39 97 94 93
cubic 619 581 1204 1206 1208
quartic 5981 5772 11752 11749 11748

Number of independant internal coordinates 3

Literature




Character tables for chemically important point groups Character table for point group C7v Jacobs University Bremen