Reduction formula for point group D5h

Your representation

E 2C5 2(C5)2 5C'2 h 2S5 2(S5)3 5v
30 0.0000 -0.0000 -2 10 -0.0000 -0.0000 2

can be reduced to

A'1 A'2 E'1 E'2 A''1 A''2 E''1 E''2
2 2 4 4 0 2 2 2

Substraction of translational and rotational contributions results in

A'1 A'2 E'1 E'2 A''1 A''2 E''1 E''2
2 1 3 4 0 1 1 2



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A'1 A'2 E'1 E'2 A''1 A''2 E''1 E''2
Infrared - - + - - + - -
Raman + - - + - - + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 24 24 2
quadratic 576 300 25
cubic 13824 2600 150
quartic 331776 17550 980
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 A'1 A'2 E'1 E'2 A''1 A''2 E''1 E''2
linear 2 1 3 4 0 1 1 2
quadratic 25 12 37 35 12 13 24 23
cubic 150 137 289 290 108 121 231 232
quartic 980 889 1868 1867 815 828 1643 1641

Number of independant internal coordinates 2

Literature




Character tables for chemically important point groups Character table for point group D5h Jacobs University Bremen