Abstract
We study the magnetism of PrX 2 intermetallic compounds (X = Rh, Al, Ru Mg) on the basis of a Hamiltonian which includes the quadrupolar interaction in addition to the magnetic and crystal field interactions. The calculations are carried out through a reduced model in which we neglect the highest energy levels of the ground state multiplet of the Pr ion. In this simplified picture, we obtain an analytic expression for the magnetic state equation. This equation is used to investigate how the quadrupolar interaction affects the nature of the magnetic phase transition. We also investigate the effects of the quadrupolar interaction on the behaviour of the gyromagnetic and dipolar exchange parameters in the present PrX 2 compounds.
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