Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
180 0.0000 -0.0000 0

can be reduced to

A1 A2 E1 E2
18 18 36 36

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
18 16 34 36



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 174 174 18
quadratic 30276 15225 1568
cubic 5268024 893200 89406
quartic 916636176 39524100 3954413
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 18 16 34 36
quadratic 1568 1479 3046 3043
cubic 89406 89230 178640 178642
quartic 3954413 3950409 7904821 7904818

Number of independant internal coordinates 18

Literature




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