Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
36 3.2361 -1.2361 0

can be reduced to

A1 A2 E1 E2
4 4 8 6

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
4 2 6 6



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 30 30 4
quadratic 900 465 55
cubic 27000 4960 512
quartic 810000 40920 4168
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 4 2 6 6
quadratic 55 38 93 93
cubic 512 480 992 992
quartic 4168 4016 8184 8184

Number of independant internal coordinates 4

Literature




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