Quantitative analyses of magnetic and magneto-optical properties in cerium trifluoride.

We first consider the effects of the crystal field on both the 4f ground state and the 5d excited state of a Ce 3+ ion in the paramagnetic medium CeF 3 , and further take account of the splitting of the crystal-field ground-state levels caused by the effective superexchange field H υ and the applied field H e ; then, with a model of a double transition that includes ground-state splitting, we calculate quantitatively the specific Faraday rotation θ F , the Verdet constant V, the magnetic susceptibility X, and their temperature dependences in CeF 3