A Simple Localized-Itinerant Model for PrAl₃: Crystal Field and Exchange Effects

Abstract

We present a simple magnetic model for PrAl3. The effects of crystal field are treated using a reduced set of levels and the corresponding wave functions are extracted from the actual crystal field 1evels of Pr+ 3 in a hexagonal symmetry. The exchange between 4f-and conduction-electrons are dealt within a molecular field approximation. An analytical magnetic state equation is derived and the magnetic behaviour discussed. The parameters of the model are estimated from a fitting of the inverse susceptibility of PrAl3 given in the literature.