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Polyatomic molecule vibrationsPolyatomic molecule vibrations are analyzed as harmonic vibrations along normal coordinates. The energy eigenvalues are found for linear and nonlinear symmetric triatomic molecules for valence bond models of the potential function with arbitrary coupling coefficients; such models can usually be fitted to observed energy levels with reasonably good accuracy. Approximate normal coordinates for the H2O molecule are discussed. Degenerate vibrational modes such as occur in CO2 are analyzed and expressions for Fermi resonance between close-lying states of the same symmetry are developed. The bending modes of linear triatomic molecules are expressed in terms of Laguerre polynomials in cylindrical coordinates as well as in terms of Hermite polynomials in Cartesian coordinates. The effects of large-amplitude bending such as occur in the C3 molecule are analyzed, along with anharmonic effects, which split the usually degenerate bending mode energy levels. Finally, the vibrational frequencies, degeneracies, and symmetry properties of XY3, X2Y2, and XY4 type molecules are discussed.
Document ID
19760014922
Acquisition Source
Legacy CDMS
Document Type
Other
Date Acquired
August 8, 2013
Publication Date
January 1, 1976
Publication Information
Publication: Mol. Phys. of Equilibrium Gases: A Handbook for Engrs.
Subject Category
Atomic And Molecular Physics
Accession Number
76N22010
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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