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In this report, the magnetic behaviour of $NiCr_{2}O_{4}$ bulk andnanoparticle samples under different applied magnetic field has beeninvestigated extensively. Nanoparticles of $NiCr_{2}O_{4}$ were obtained bymechanical milling of polycrystalline powder prepared by polyol method. FC-ZFCmeasurement of bulk at different applied magnetic field has revealed theexistence of a ferrimagnetic transition around 66K followed by anantiferromagnetic transition close to 30K. However, its nano counterpart hasshown remarkable change in magnetic properties - a suppression of ferrimagnetictransition accompanied by strengthening low temperature magnetic phase andobservation of a new transition at 90K ($T_P$), which is weakly magnetic innature. The frequency dependent ac susceptibility data of nanoparticle havebeen fitted to the well known de Almedia-Thouless equation and a $H^{2/3}$dependence of the low temperature peak is observed with a resulting zero fieldfreezing temperature ($T_f^0$) equal to 10.1K. Further, the dynamical behaviournear freezing temperature has been analysed in terms of critical behaviour andthe obtained fitted parameters values being as $\tau_0$(relaxation timeconstant) = $3.6 X 10^{-6}s$, $T_f^0=8.7$K and $z\nu = 11.1$. Moreover,Vogel-Fulcher law has been used to understand the nature of freezing transitionand the parameter after fitting are obtained as $E_a/k_B = 58.9$K, $\tau_0 =5.22 \times 10^{-8}$ and $T_0 = 8.03$K. Finally, the spin-glass phase isconcluded. Moreover, in contrast to bulk, the $H^{2/3}$ dependence of freezingtemperature of nanoparticle sample (75h) does support the 2D surface like spinglass nature.

A study of crossover from 3D ferrimagnetic Bulk $NiCr_{2}O_{4}$ compound into 2D spin-glass like nanophase