Magnetic properties of MnCr2O4 nanoparticle

The exchange interactions and the magnetic exchange energies are calculated by using the mean field theory and the probability law of Zn1−xMnxCr2O4 nanoparticles. The high-temperature series expansions have been applied in the spinels Zn1−xMnxCr2O4 systems, combined with the Padé approximants method, to determine the magnetic phase diagram, i.e. TC versus dilution x. The critical exponent associated with the magnetic susceptibility (γ) is deduced. The obtained value of γ is insensitive to the dilution ratio x and may be compared with other theoretical results based on the 3D Heisenberg model.