Zeeman anisotropy in the spectra of cubic crystals

Eigenfunctions for the states of octahedral systems in a magnetic field of arbitrary orientation have been obtained and used to calculate the relative transition probabilities of various allowed Zeeman lines. The anisotropic Zeeman patterns which can arise in absorption, emission, magnetic circular dichroism (M.C.D.) and magnetic circularly polarized emission (M.C.P.E.) are discussed in detail for transitions between isotropic states, i.e. states with Zeeman splittings independent of magnetic-field orientation. Procedures and matrices necessary for calculating transition probabilities in anisotropic and/or magnetically mixed states in an arbitrarily oriented magnetic field are also given.