Reduction formula for point group C5v

Your representation

E 2C5 (z) 2(C5)2 5v
60 0.0000 -0.0000 4

can be reduced to

A1 A2 E1 E2
8 4 12 12

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
7 3 10 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 54 54 7
quadratic 2916 1485 167
cubic 157464 27720 2830
quartic 8503056 395010 39807
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 7 3 10 12
quadratic 167 132 298 295
cubic 2830 2710 5544 5546
quartic 39807 39197 79003 79000

Number of independant internal coordinates 7

Literature




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