Question

Identify the number of degrees of freedom, translational degrees of freedom, rotational degrees of freedom, and vibrational degrees of freedom of the follwoing:

1.SF6

2.CO2

3.O2

4.C60

5.Ar

Please explain :)

Answer 1

1.SF6
non linear molecule
total degrees of freedom = 3N = 3*7 = 21
vibrational degrees of freedom = 3N-6 = 3*7-6 = 15
rotational degrees of freedom =3
transilational degrees of freedom = 3
2.CO2

linear molecule
total degrees of freedom = 3N = 3*3 = 9
vibrational degrees of freedom = 3N-5 = 3*3-5 = 4
rotational degrees of freedom =2
transilational degrees of freedom = 3
3.O2
linear molecule
total degrees of freedom = 3N = 3*2 = 6
vibrational degrees of freedom = 3N-5 = 3*2-5 = 1
rotational degrees of freedom =2
transilational degrees of freedom = 3

4.C60
non linear molecule
total degrees of freedom = 3N = 3*60 = 180
vibrational degrees of freedom = 3N-6 = 3*60-6 = 174
rotational degrees of freedom =3
transilational degrees of freedom = 3

5.Ar
mono atomic atom

total degrees of freedom = 3N = 3*1 = 3
vibrational degrees of freedom = 0
rotational degrees of freedom =0
transilational degrees of freedom = 3