The complete nuclear permutation and permutation – inversion group, molecular symmetry groups, Double groups, point group symmetry, representation and character tables. The molecular Hamiltonain and its symmetry. Nuclear spin statistics. Examples of application of MS group to non-rigid molecules and molecular complexes.
General formalism for molecular Hamiltonians in curvilinear coordinates –Podolsky transformation, Echart-Sayvetz. Rotational – vibrational Hamiltonians with emphasis on coupling terms for semirigid diatomic and polyatomic molecules. The Wilson – Howard – Darling – Dennison and the Watson Hamiltonians. Contact transformation and the derivation of effective rotational Hamiltonians for vibrational degrees of freedom. Coriolis and centrifugal coupling. Advanced theory of line intensities for infrared and Raman Spectra. Symmetry of ro-vibronic wave function and introduction to vibrational – rotational spectra of non-rigid molecules and molecular complexes