Magnetic Renner Effect: Direct Orbital and Spin Interaction with ldquo;Vibrationalrdquo; Rotation in Linear Triatomic Molecules

摘要

Detailed and explicit expressions are derived for a new type of vibronic effect that involves the direct magnetic interaction of the electron's orbit and spin motion with ldquo;vibrationalrdquo; rotation; the latter occurs in a linear triatomic molecule executing the doubly degenerate mode of vibration. Such magnetic vibronic interaction (Sec. III) is compared with the corresponding electrostatic vibronic interaction which is the conventional Renner effect (Sec. II). The expansion of the magnetic interaction, which is proportional to an irregular solid spherical harmonic, in terms of electronic and nuclear coordinates is shown in detail (Appendix A). The interaction Hamiltonian is expressed in terms of the eigenvalue, creation, and annihilation operators of the twohyphen;dimensional isotropic harmonic oscillator. The Lie algebraic treatment of such a system of operators and the derivation of diagonal as well as offhyphen;diagonal matrix elements, which are needed for higherhyphen;order perturbations, are shown (Appendix B). Effective Hamiltonian for firsthyphen;order perturbation and its application ina2Sgr;plus;molecule, in which the conventional Renner effect is absent, are given (Sec. IV).