A Note Concerning <i>l</i>-Type Doubling in Linear Polyatomic Molecules

Abstract

It is shown that certain Coriolis interaction terms in the rotation-vibration Hamiltonian of a linear polyatomic molecule give second-order contributions to the energy which remove the degeneracy of levels associated with the quantum number l of internal angular momentum arising from a doubly degenerate perpendicular mode of oscillation. This type of splitting is called ``l-type doubling'' because it is exactly like ``Λ-type doubling'' in the electronic energy levels of diatomic molecules.