## The Infra-red Spectra of Polyatomic Molecules, Part 1 |

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absorption bands amplitude antisymmetrical appear approximation axes center of gravity classical mechanics collinear component cule different from zero electric moment oscillates energy constant energy levels equal atoms equilibrium Eulerian angles Fatom figure axis force fields frequency v3 fundamental bands geometric symmetry give given Hamiltonian harmonic Hermitian functions Hund independent infrared bands infrared spectra integer intensity interchange isosceles triangle Kramers and Ittmann limit linear magnitude matrix elements representing molecule YX3 moments of inertia motion normal vibrations obtain odd function odd integer odd values pair of atoms particles perpendicular perturbed wave functions Phys Physik plane polyatomic molecules positions potential energy problem quantum numbers quency rotational energy secular determinant selection rules single bands spectrum spin symmetrical top symmetry character symmetry classes symmetry properties three atoms tion transitions triatomic molecule UJKM vanish vibrational and rotational wave equation wave function depending X atoms Zeits zero branch