Question

3. Consider the SF4 molecule.

b) How many stretching vibrations does the molecule have, and what
are their symmetries? Which ones appear in an IR spectrum? Which
ones appear in a Raman spectrum? Sketch the stretching modes.

c) How many bending vibrations does the molecule have, and what are
their symmetries? Which ones appear in an IR spectrum? Which ones
appear in a Raman spectrum?

Dont forget to sketch the stretching nodes

Answer #1

SF_{4} is a non-linear molecule of trigonal bipyramidal
geometry with (C_{2}V) symmetry.

Total Number of Degrees of freedom = 3N =3*5 = 15

N is the number of atoms.

Translational Degrees of freedom= 3

Rotational Degrees of freedom= 3

Vibrational Degrees of freedom = 15-6 =9

Character table for the C_{2}V point group

Out of nine, four vibrations in symmetry class A1 (one is active
IR and the other three Raman active), one in A2 (Raman active), two
in B1 and another two in B2 (in each, one is

IR active and one is Raman active). All in all you should expect
six peaks in the

Raman spectrum and three in the infrared (=9).

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