Molecular Spectra and Molecular Structure: Infrared and Raman spectra of polyatomic molecules

A₁ angle angular momentum anharmonicity antisymmetric with respect approximation atoms axes B₁ calculated Chem cm-¹ cm¯¹ cm¹ component Coriolis corresponding cos² degeneracy Dennison depol diatomic molecules dipole dipole moment displacement displacement vectors eigenfunctions ellipsoid energy levels equations example force constants formulae frequencies function fundamentals given identical nuclei infrared and Raman infrared bands intensity isotope k₁ linear molecules molecule of point moment of inertia motion Nielsen non-degenerate vibrations normal coordinates normal vibrations observed obtained occur oscillation overtone perpendicular perturbation Phys Physik plane of symmetry point group potential constants potential energy Q branches Raman bands Raman lines Raman spectrum rotational constants rotational levels secular equation selection rules similar splitting statistical weights structure sub-bands sublevels symmetric top symmetric top molecules symmetry coordinates symmetry elements symmetry operation symmetry types Table tetrahedral tion totally symmetric transitions two-fold axis v₁ valence force values vibrational levels vibrations of species zero