Fermi resonance-algebraic model for molecular vibrational spectra

  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},
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… 
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