Magnetic, magnetocaloric and critical exponent properties of Eu3(PO4)2 prepared by sol gel method

Abstract

The Eu3(PO4)2 compound was prepared by the sol gel chemical route and its magnetic, magnetocaloric, and critical exponent properties have been investigated. Combining different models, a detailed analysis of the magnetic phase transitions in the Eu3(PO4)2 compound has been actually performed. At 5.9 K, the phase transition from the AFM (Antiferromagnetic) state to the PM (Paramagnetic) state is 2nd order. A phenomenological model is now used to comprehend the MCE (magnetocaloric effect) behavior of this sample. The CEs (Critical Exponents) are clearly obtained employing MAPs (Modified-Arrott-Plots), CIA (Critical Isotherm Analysis) and also WSR (Windom Scaling Relation) techniques based upon the data of magnetic measurements registered around the TN (Néel temperature). Besides, an analysis of critical performance on the basis of the MCE is also provided. These exponents are β (beta), γ (gamma), and δ (delta) were properly revealed to be nearby those of the MFM (Mean-Field-Model) values. This simply reflects the existence of an AFM long-range order in our sample. A single equation of state also can be used to scale the magnetization below and above TN. Nevertheless, it should be noted that the scaling relations are respected, which indicates a renormalization of the interactions nearby the TN. The forecasting of the J(r) (exchange interaction) validated the long-range AFM order in this sample.