Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
33 1.6180 -0.6180 -1

can be reduced to

A1 A2 E1 E2
3 4 7 6

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
3 2 5 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 27 27 3
quadratic 729 378 45
cubic 19683 3654 372
quartic 531441 27405 2793
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 3 2 5 6
quadratic 45 31 76 75
cubic 372 358 731 731
quartic 2793 2688 5481 5481

Number of independant internal coordinates 3

Literature




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

Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement