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2-parameter adiabatic approximation Albrecht allowed transition AO's Appendix approach approximate wavefunction atomic orbital based based on equation Bell and Long bond polarizability theory Calculations for H2 Chem chemical bond covalent bond derived polarizability dispersion equation dispersion theory Eg)Mp|g eigenfunction eigenvalue empirical rules equation 19 equation 2l equation 36 equations 4o exciting light expanding experimental forbidden transition function of nuclear g|MaMp|g give ground electronic level ground state polarizability H2 molecule H2+ ion Hamiltonian ionic bond James function Krushinskii and Shorygin LCAO-MO function matrix elements matrix multiplication method non-totally symmetric vibrations normal mode normalization factor nuclear coordinate dependence nuclei obtain orbital exponent overlap integral parameter partitioned fragments Phys Placzek polarizability tensor polyatomic molecules Q dependence Quantum Chemistry Raman effect Raman spectroscopy Raman spectrum relative motion resonance region semiclassical spectra thesis tion totally symmetric modes totally symmetric vibrations vanish variation-perturbation vibrational substate vibronic Vleck z-component zero