Reduction formula for point group D7h

Your representation

E 2C7 2(C7)2 2(C7)3 7C'2 h 2S7 2(S7)5 2(S7)3 7v
42 0.0000 0.0000 -0.0000 -2 14 0.0000 -0.0000 -0.0000 2

can be reduced to

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

Substraction of translational and rotational contributions results in

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



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A'1 A'2 E'1 E'2 E'3 A''1 A''2 E''1 E''2 E''3
Infrared - - + - - - + - - -
Raman + - - + - - - + - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 36 36 2
quadratic 1296 666 38
cubic 46656 8436 335
quartic 1679616 82251 3162
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 E'3 A''1 A''2 E''1 E''2 E''3
linear 2 1 3 4 4 0 1 1 2 2
quadratic 38 19 57 55 55 20 21 40 39 38
cubic 335 316 653 654 655 265 284 551 552 553
quartic 3162 2972 6133 6132 6131 2800 2819 5619 5617 5617

Number of independant internal coordinates 2

Literature




Character tables for chemically important point groups Character table for point group D7h Jacobs University Bremen