Module 3 : Molecular Spectroscopy
Lecture 13 : Rotational and Vibrational Spectroscopy
 

The quantized rotational energy levels for this diatomic are

                                                                                                (13.7)

The energy differences between two rotational levels is usually expressed in cm-1.  The wave number corresponding to a given ∆E  is given by
           
                                                ν  =  ∆E /hc,   cm-1                                                              (13.8)

The energy  levels in cm-1 are therefore,

                                                             (13.9)

The rotational energy levels of a diatomic molecule are shown in Fig. 13.2.

 
   
  Fig. 13.2   Rotational energy levels of a rigid diatomic molecule and the allowed  transitions.
 

The selection rule for a rotational transition is,

                                                ∆ J  =  ± 1                                                                          (13.10)