Question

Evaluate how many lines there are in a true ratational spectrum of `CO` milecules whose natural vibration frequency is `omga= 4.09.10^(14)s^(-1)` and moment of inertial `I= 1.44.10^(39)g,cm^(2)`.

Answer 1

We proceed as above. Calculating `(2Iomega(0))/( ħ)` we get
`(2I omega_(0))/( ħ)~= 1118`
Now this must equal `J(J+1)~~(J+(1)/(2))^(2)`
Taking the square root we get `J ~~33`