On the Ground Level Splitting of Mn⁺⁺and Fe⁺⁺⁺in Nearly Cubic Crystalline Field

Abstract

The ground level splitting and g-factor of Mn++ and Fe+++ in nearly cubic crystalline field, with a small axially symmetric field superposed on it, are studied by higher-order perturbation calculations. It is shown that the electronic energy levels arising from the configuration half-filled with electrons are unsplit under the linear effect of crystalline potentials, but can be split by the effects of even powers of them. Various higher-order processes involving crystalline potential, spin-orbit coupling and magnetic spin-spin interaction within an ion that are supposed to be dominant in the ground level splitting and the g-factor deviation, are formulated and order of magnitude discussions are given for them.