Abstract

The magnetic properties of the spinels GeNi2-xCoxO4 systems in the range 0 ≤ x ≤ 2 have been studied by mean field theory (MFT) and high-temperature series expansions. The nearest neighbouring and the next-neighbouring super-exchange interactions J1 (x) and J2 (x) are evaluated for the spinel GeNi2-xCoxO4 systems in the range 0 ≤ x ≤ 2. The exchanges interactions are calculated for different sizes of CoRh2O4 nanoparticle by using the MFT. The intra-planar and the inter-planar interactions and the exchange energy are deduced for GeNi2-xCoxO4 and CoRh2O4. The second theory has been applied to the spinel GeNi2-xCoxO4 systems, combined with the Padé approximant method, we have obtained the magnetic phase diagrams (TN versus dilution x) in the range 0 ≤ x ≤ 2. The obtained theoretical results are in agreement with experimental ones obtained by magnetic measurements. The critical exponents associated with the magnetic susceptibility (γ) and the correlation lengths (ν) are deduced. The obtained theoretical results are in agreement with the experimental data obtained by magnetic measurements. The critical exponent associated to the correlation lengths (ν) is deduced for different sizes of CoRh2O4 nanoparticle.

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