Reduction formula for point group C5v

Your representation

E 2C5 (z) 2(C5)2 5v
120 0.0000 -0.0000 8

can be reduced to

A1 A2 E1 E2
16 8 24 24

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
15 7 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 15
quadratic 12996 6555 701
cubic 1481544 253460 25616
quartic 168896016 7413705 743206
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 15 7 22 24
quadratic 701 612 1312 1309
cubic 25616 25072 50692 50694
quartic 743206 739537 1482742 1482739

Number of independant internal coordinates 15

Literature




Character tables for chemically important point groups Character table for point group C5v Jacobs University Bremen