Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
60 0.0000 -0.0000 0

can be reduced to

A1 A2 E1 E2
6 6 12 12

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
6 4 10 12



Force field analysis

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

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 54 54 6
quadratic 2916 1485 164
cubic 157464 27720 2798
quartic 8503056 395010 39719
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
linear 6 4 10 12
quadratic 164 135 298 295
cubic 2798 2742 5544 5546
quartic 39719 39285 79003 79000

Number of independant internal coordinates 6

Literature




Character tables for chemically important point groups Character table for point group D5 Jacobs University Bremen