Reduction formula for point group C4h

Your representation

E C4(z) C2 (C4)3 i (S4)3 h S4
48 0 0 0 0 0 0 0

can be reduced to

Ag Bg Eg Au Bu Eu
6 6 6 6 6 6

Substraction of translational and rotational contributions results in

Ag Bg Eg Au Bu Eu
5 6 5 5 6 5



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag Bg Eg Au Bu Eu
Infrared - - - + - +
Raman + + + - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 5
quadratic 1764 903 122
cubic 74088 13244 1660
quartic 3111696 148995 18723
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 Ag Bg Eg Au Bu Eu
linear 5 6 5 5 6 5
quadratic 122 120 110 111 110 110
cubic 1660 1662 1650 1660 1662 1650
quartic 18723 18710 18590 18602 18600 18590

Number of independant internal coordinates 5

Literature




Character tables for chemically important point groups Character table for point group C4h Jacobs University Bremen