Crystal Fields and the $ \gamma \rightarrow \alpha$ transition in Ce

In the $\gamma \rightarrow \alpha$ transition of Cerium, the material undergoes an isostructural change at which the volume changes by 15\% and the magnetic character changes. Recently, the transition has been described in terms of a balance between the free energy of the magnetic moments and the characteristic energy scale of the $\alpha$ phase. The field-temperature dependence of the phase diagram has been predicted, and was confirmed by experiment. Inelastic neutron scattering experiments on the $\gamma$-phase of Ce have shown indications of crystal field splittings, and similar experiments have determined the energy scale of the $\alpha$ phase. We shall examine the effects of the crystalline field splittings within the framework of NCA calculations on the single-impurity Anderson model, and examine their consequence for the phase diagram.