Question

Calculate the classical frequency of rotation of a rigid body whose energy is given by Eq. (8.9) for states of J =J and J =J + 1, and show that the frequency of the spectral line associated with a transition between these states is intermediate between the rotational frequencies of the states.

14. Calculate the classical frequency of rotation of a rigid body whose energy is given by Eq. (8.9) for states of J = J and J J+1, and show that the frequency of the spectral line associ- ated with a transition between these states is intermediate between the rotational frequencies of the states The energy of a rotating molecule is lw2, and so its energy levels are specified by L2 1 2 _ 2 21 JU1 Rotational energy (8.9) levels 21

Answer 1

Rotadimal ennay tavel J (T+D12 21 21 ther 3 +1) (T+2)- JH) 21 2 (J) CJ+2-J 42 (T+7 S0, fne queney of stechnal unes h2 2 2T (5+) 2.32T 11 ton Tntenmediate of roquem ey stedes J-J that to heto amd =T+ W hawe w hene 4ntsVJ) T 2i Rotatonal treaueny tan J Mare Ond 1 h JK (JACT2) NJ mta meolae frea uuney d peetnal une alad tar trequncy o tates T nd 5 0 betweem