Detailed studies of the temperature (5–350 K) and magnetic field variations (up to $H=50\mathrm{}\mathrm{kOe})$ of the magnetization of CuO nanoparticles of nominal size range 37–6.6 nm are reported. These particles were synthesized by the sol-gel method in combination with high-temperature annealing, followed by structural characterization by x-ray diffraction and high-resolution transmission electron microscopy. With a decrease in particle size d from 37 to 10 nm, the unit-cell volume and b axis increased and the bulk Néel temperature $T_N$ decreased according to ${\gamma }_m=-\partial \ln T_N/\partial \ln b=30.\mathrm{}$ For particles with $d<\mathrm{}10\mathrm{}\mathrm{nm},$ there is a more rapid lattice expansion and the magnetic susceptibility χ varied as $1/d,$ accompanied by a weak ferromagnetic component and hysteresis loops. For the 6.6-nm particles for which detailed studies are reported, there is a rapid increase in the coercivity $H_c$ and the remanence $M_r$ below 40 K accompanied by an exchange bias $H_E$ for the field-cooled samples in $H=50\mathrm{}\mathrm{kOe}.$ From 10 to 40 K, $H_E$ decreases monotonically to zero. However, above 40 K, a symmetric hysteresis loop is observed, with $H_c$ decreasing weakly towards zero as temperature increases towards 330 K. The hysteresis loop and the $1/d$ variation of χ are interpreted in terms of uncompensated surface ${\mathrm{Cu}}^{2+}$ spins, whereas the transition at 40 K is suggested to be $T_N$ of the spins in the core of 6.6-nm particles. Similarities to the hysteresis loops observed in the Permalloy/CoO system are noted.

• Received 28 June 2001

DOI:https://doi.org/10.1103/PhysRevB.64.174420