Vibrational Spectrum of Methane in an Algebraic Model

A U(2) algebraic model is used to explain the stretching and bending vibrational spectrum of methane, where the interactions between the stretching and the bending modes are taken into account. This model provides good fits to the experimental vibrational eigenvalues with the smaller standard deviations of 9.57 and 9.08 cm^-1 than those in other published algebraic models.