Algebraic approach to molecular rotation-vibration spectra. II. Triatomic molecules

Journal Article · Thu Sep 15 04:00:00 EDT 1983 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.446164· OSTI ID:5518210

van Roosmalen, O S; Iachello, F; Levine, R D; Dieperink, A E.L.

The algebraic approach to molecular rotation-vibration spectra introduced in a previous article is extended from di- to tri- and polyatomic molecules. The spectrum generating algebra appropriate to triatomic molecules U(4)xU(4) is explicitly constructed. Its dynamical symmetries and their relation to rigid, nonrigid, linear, and nonlinear structures are discussed. Applications to the spectra of HCN, CO/sub 2/, and H/sup +//sub 3/ are considered. In particular, it is shown that the algebraic description can account for the Fermi resonances occurring in CO/sub 2/. Some remarks are made on the spectrum generating algebras appropriate to polyatomic molecules.

• Research Organization: Kernfysisch Versneller Instituut, Rijksuniversiteit Groningen, The Netherlands
• OSTI ID: 5518210
• Journal Information: J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 79:6; ISSN JCPSA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
CARBON COMPOUNDS
CARBON DIOXIDE
CARBON OXIDES
CHALCOGENIDES
CHARGED PARTICLES
CYANIDES
ENERGY LEVELS
EXCITED STATES
FERMI RESONANCE
HYDROCYANIC ACID
HYDROGEN COMPOUNDS
HYDROGEN IONS
INFRARED SPECTRA
INORGANIC ACIDS
IONS
LIE GROUPS
MOLECULAR IONS
OXIDES
OXYGEN COMPOUNDS
RESONANCE
ROTATIONAL STATES
SPECTRA
SYMMETRY GROUPS
U GROUPS
U-4 GROUPS
VIBRATIONAL STATES