  New entropic inequalities are obtained for Franck-Condon factors (FCF-s) of
diatomic molecules in adiabatic harmonic oscillator approximation. The
probability distributions associated with FCF-s of diatomic molecules are
presented in the form of joint-probability distributions of either two or three
random variables. In view of this representation information inequalities
corresponding to subadditivity condition is found and in case of harmonic
oscillator approximation is obtained in explicit form of new inequalities for
Hermite polynomials. Physical meaning of obtained entropic-information
inequalities as characteristics of hidden correlations in vibronic spectra of
the molecules is studied.
