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We have explored some magnetic characteristics of a mixed spin-3/2 and spin-1 Ising ferrimagnetic square nanoparticle by utilising the finite cluster approximation. The influences of the core and surface shell couplings (J c , J s ), as well as the crystal fields (D c , D s ) on the critical and compensation behaviour, were investigated. In the absence of crystal fields, a compensation point only exists if J c  is higher than the threshold core coupling J* c , where the dependence of J* c  on J s  is linear. By introducing the crystal fields, we found a variety of topologies of the compensation temperature with the possibility of double reentrance. In particular, the presence of the core crystal field D c , according to the J s  strength, may lead to one, two, or three compensation points.

Theoretical investigation of compensation point phenomena in a ferrimagnetic mixed spin-3/2 and spin-1 Ising nanoparticle