Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
72 6.4721 -2.4721 0

can be reduced to

A1 A2 E1 E2
8 8 16 12

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
8 6 14 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 66 66 8
quadratic 4356 2211 240
cubic 287496 50116 5046
quartic 18974736 864501 86765
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 8 6 14 12
quadratic 240 205 442 441
cubic 5046 4978 10024 10022
quartic 86765 86136 172900 172900

Number of independant internal coordinates 8

Literature




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