Fermi resonance-algebraic model for molecular vibrational spectra

@article{Hou1999FermiRM,
  title={Fermi resonance-algebraic model for molecular vibrational spectra},
  author={Xi-Wen Hou and Shi-hai Dong and Mi Xie and Zhong-Qi Ma},
  journal={Science in China Series A: Mathematics},
  year={1999},
  volume={42},
  pages={207-212}
}
A Fermi resonance-algebraic model is proposed for molecular vibrations, where aU(2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for a bent moleculeXY2 and a moleculeXY3 is successfully applied to fitting the recently obsenred vibrational spectrum of the water molecule and arsine (AsH3), respectively, and the results are compared with those of other models. Calculations show that algebraic… 
2 Citations

Bulk transfer coefficients of the atmospheric momentum and sensible heat over desert and Gobi in arid climate region of Northwest China

By utilizing the data of the intensive observation period (May—June, 2000) of Dunhuang land-surface process field experiment that belongs to “Land-atmosphere Interactive Field Experiment over Arid

References

SHOWING 1-10 OF 14 REFERENCES

Boson-realization model for the vibrational spectra of tetrahedral molecules.

  • MaHouXie
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1996
An algebraic model of boson realization is proposed to study the vibrational spectra of a tetrahedral molecule, where ten sets of boson creation and annihilation operators are used to construct the

A general algebraic model for molecular vibrational spectroscopy

Abstract We introduce the anharmonic oscillator symmetry model to describe vibrational excitations in molecular systems exhibiting a high degree of symmetry. A systematic procedure is proposed to

Overtone spectra and intensities of tetrahedral molecules in boson-realization models

The stretching and bending vibrational spectrum and the intensities of infrared transitions in a tetrahedral molecule are studied in two boson-realization models, where the interactions between

Boson-realization model applied to highly excited vibrations of H2O

A boson-realization model and a corresponding q-deformed model are proposed for the vibrations of bent triatomic molecules, where Fermi resonances between stretching and bending vibrations are taken

Fermi resonances and local modes in pyramidal XH3 molecules: An application to arsine (AsH3) overtone spectra

A simple vibrational Hamiltonian expressed in terms of curvilinear internal coordinates has been used to model both stretching and bending vibrations in pyramidal XH3 molecules. The pure stretching

Partial dynamical symmetry in molecules

Abstract It is shown that any Hamiltonian involving only one- and two-bond interactions for a molecule withnbonds and having a point groupPas its symmetry group may have theSn⊃Ppartial dynamical

Calculation of Vibrational Energy Spectra of H 2 O Molecule by Nonlinear Quantum Theory

The vibrational energy spectra of OH stretch of H2O in both vapour and liquid phases are calculated by using the quantized discrete self-trapping equation of nonlinear quantum theory. The results

Algebraic approach to molecular spectra: Two‐dimensional problems

The Lie algebraic approach is extended to two‐dimensional problems (rotations and vibrations in a plane). Bending vibrations of linear polyatomic molecules are discussed. The algebraic approach is