Reduction formula for point group C4

Your representation

E C4 C2 (C4)3
48 0 0 0

can be reduced to

A B E
12 12 12

Substraction of translational and rotational contributions results in

A B E
10 12 10



Force field analysis

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

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 10
quadratic 1764 903 233
cubic 74088 13244 3320
quartic 3111696 148995 37325
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 E
linear 10 12 10
quadratic 233 230 220
cubic 3320 3324 3300
quartic 37325 37310 37180

Number of independant internal coordinates 10

Literature




Character tables for chemically important point groups Character table for point group C4 Jacobs University Bremen