Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
120 0.0000 -0.0000 0

can be reduced to

A1 A2 E1 E2
12 12 24 24

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
12 10 22 24



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 114 114 12
quadratic 12996 6555 686
cubic 1481544 253460 25402
quartic 168896016 7413705 742256
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 12 10 22 24
quadratic 686 627 1312 1309
cubic 25402 25286 50692 50694
quartic 742256 740487 1482742 1482739

Number of independant internal coordinates 12

Literature




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