Algebraic Description of Anharmonic Stretching Vibrations.
TL;DR: A U(2) algebraic model is presented to describe stretching vibrations of XYn (n = 2, 3, and 4) systems, where anharmonic interactions between the bond modes are considered and is applied to recently observed spectra of methane in both gas and liquid phases.
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About: This article is published in Journal of Molecular Spectroscopy. The article was published on 01 May 1999. and is currently open access. The article focuses on the topics: Anharmonicity.
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Citations
Vibrational modes of the stibine molecule
L. Pluchart,Claude Leroy,N. Sanzharov,N. Sanzharov,F. Michelot,Elena Sergeevna Bekhtereva,O.N. Ulenikov +6 more
TL;DR: In this paper, the authors used the algebraic approach to describe the vibrational modes of stibine molecule up to 21 quanta and built an algebraic pyramidal coupling operator between stretching modes and bending modes adapted to this molecule.
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Algebraic calculation of vibrational energy levels for polyatomic molecules XH3 and XH4: application to ammonia and silane
TL;DR: In this article, the vibrational energy levels of coupled stretching and bending overtone transitions in polyatomic molecules XH 3 and XH 4 were calculated using an algebraic method, in which couplings between bending and stretching are described by Fermi resonance terms.
9
Vibrational spectra and tripartite entanglement in hydrogen sulfide
TL;DR: In this article, an improved u(2) algebraic model was proposed to study both stretching and bending vibrational spectra of a bent triatomic molecule, and the model with fewer parameters was used to reproduce the observed spectra with better precision than the u(4) model.
Algebraic Hamiltonian for Vibrational Spectra of Stibine
TL;DR: An algebraic Hamiltonian, which in a limit can be reduced to an extended local mode model by Law and Duncan, is proposed to describe both stretching and bending vibrational energy levels of polyatomic molecules, where Fermi resonances between the stretches and the bends are considered.
6
Vibrational spectra and intramolecular vibrational redistribution in methane and its isotopomers
TL;DR: In this article, an improved U(2) algebraic model is introduced to study the stretching and bending vibrational spectra of methane and its isotopomers, and it is shown that the Fermi resonance leads to a very fast intramolecular vibrational redistribution among stretches and bends.
3
References
On the relationship of normal modes to local modes in molecular vibrations
TL;DR: In this article, a simple model for the effective vibrational hamiltonian of the XH stretching vibrations in H2O, NH3 and CH4 is considered, based on a morse potential function for the bond stretches plus potential and kinetic energy coupling between pairs of bond oscillators.
421
Local modes and x,k relations in ethene and propadiene
Ian Mills,F.J. Mompean +1 more
TL;DR: In this paper, general relations among the anharmonic xrs constants and the Darling-Dennison Krrss constants for the stretching vibrations are derived, called "x,K relations", which allow local-mode effects to be generated by adding the appropriate ANharmonic and Dennison constants to the familiar normal-mode model of molecular vibrations.
62
High resolution spectroscopic study of arsine: 3ν1 and 2ν1+ν3 dyad: The tendency of symmetry reduction
TL;DR: In this article, the high resolution spectrum of AsH3 3ν1 and 2ν1+ν3 stretching overtone dyad was recorded and analyzed and the major vibration-rotation parameters of these overtones were obtained.
48
Symmetry-Adapted Algebraic Description of Stretching and Bending Vibrations of Ozone
TL;DR: In this article, the vibrational excitations of ozone, including bending and stretching vibrations, are studied in the framework of a symmetry-adapted algebraic approach, based on the isomorphism between the U (2) algebra and the one-dimensional Morse oscillator, and the introduction of point group symmetry techniques.
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