Hoenl-London Factors

The Hoenl-London factors show the distribution of transition intensities over different rotational branches, i.e. how much the relative percentage of  R; P; and        Q-Branches is. For diatomic molecules (where Λ corresponds to the ground state and Λ' corresponds to the excited state, DL = Λ' − Λ) one will have:

DL  =  0


 
SJR  = 
(J'' + 1 + Λ'') (J'' + 1 −Λ'')
J'' + 1
   
SJQ  = 
(2J'' + 1) Λ''²
J'' (J'' + 1)
   
SJP  =  (J'' + Λ'') (J'' − Λ'')
J''

DL  =  +1

SJR   =  (J'' + 2 + Λ'') (J'' + 1 + Λ'')
4 (J'' + 1)
 
SJQ  =  (J'' + 1 Λ'') (J'' − Λ'') (2J'' + 1)
4 J'' (J'' + 1)
 
SJP  =  (J'' − 1 − L'') (J'' − L'')
4 J''

DL  =  −1

SJ  =  (J'' + 2 - L'') (J'' + 1 − Λ'')
4 (J'' - 1)
 
SJQ  =  (J'' + 1 −Λ'') (J'' + Λ'') (2J'' + 1)
4 J'' (J'' +1)
 
SJP  =  (J'' − 1 −Λ'') (J'' + Λ'')
4 J''