Construction of triatomic potentials from algebraic Hamiltonians which represent stretching vibrational overtones

The semiclassical limit (potential function) of an algebraic Hamiltonian which represents the stretching vibrational overtones of a stable triatomic molecule corresponds to two interacting anharmonic (Morse) potentials. The introduction of a further symmetry-breaking term into the Hamiltonian permits the potential to display different values for the equilibrium bond lengths in the isolated diatomic species and within the triatomic molecule. The method is applied to a number of bound triatomic species.