Fermi resonance-algebraic model for molecular vibrational spectra  

作　　者：侯喜文 董世海 谢汨 马中骐 

出　　处：《Science China Mathematics》1999年第2期207-212,共6页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 19377103);the Chinese Academy of Sciences

摘　　要：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 moleculeXY 2 and a moleculeXY 3 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 approaches can be used as an effective method to describe molecular vibrations with small standard deviations.A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U(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 molecule XY2 and a molecule XY3 is successfully applied to fitting the recently observed vibrational spectrum of the water molecule and arsine (AsH3), respectively, and the results are compared with those of other models. Calculations show that algebraic approaches can be used as an effective method to describe molecular vibrations with small standard deviations.

关 键 词：U(2) ALGEBRA VIBRATIONAL SPECTRA FERMI resonance. 

分 类 号：O561.3[理学—原子与分子物理]