Reduction formula for point group Ci

Your representation

E i
21 -3

can be reduced to

Ag Au
9 12

Substraction of translational and rotational contributions results in

Ag Au
6 9



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag Au
Infrared - +
Raman + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 15 15 6
quadratic 225 120 66
cubic 3375 680 326
quartic 50625 3060 1566
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 Ag Au
linear 6 9
quadratic 66 54
cubic 326 354
quartic 1566 1494

Number of independant internal coordinates 6

Literature




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