Reduction formula for point group C5h

Your representation

E C5 (C5)2 (C5)3 (C5)4 h S5 (S5)7 (S5)3 (S5)9
30 0.0000 -0.0000 -0.0000 0.0000 10 -0.0000 -0.0000 -0.0000 -0.0000

can be reduced to

A' E'1 E'2 A'' E''1 E''2
4 4 4 2 2 2

Substraction of translational and rotational contributions results in

A' E'1 E'2 A'' E''1 E''2
3 3 4 1 1 2



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A' E'1 E'2 A'' E''1 E''2
Infrared - + - + - -
Raman + - + - + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 24 24 3
quadratic 576 300 37
cubic 13824 2600 287
quartic 331776 17550 1869
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' E'1 E'2 A'' E''1 E''2
linear 3 3 4 1 1 2
quadratic 37 37 35 25 24 23
cubic 287 289 290 229 231 232
quartic 1869 1868 1867 1643 1643 1641

Number of independant internal coordinates 3

Literature




Character tables for chemically important point groups Character table for point group C5h Jacobs University Bremen