Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
60 0.0000 -0.0000 -0.0000 0.0000

can be reduced to

A E1 E2
12 12 12

Substraction of translational and rotational contributions results in

A E1 E2
10 10 12



Force field analysis

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

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 54 54 10
quadratic 2916 1485 299
cubic 157464 27720 5540
quartic 8503056 395010 79004
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
linear 10 10 12
quadratic 299 298 295
cubic 5540 5544 5546
quartic 79004 79003 79000

Number of independant internal coordinates 10

Literature




Character tables for chemically important point groups Character table for point group C5 Jacobs University Bremen