Magnetic Properties of Nanocrystalline Nickel–Cobalt Ferrites \((\mathrm{Ni}_{1/2}{\mathrm{{Co}}}_{1/2}{\mathrm{{Fe}}}_{2}{\mathrm{O}}_{4})\)

In this study, the nanocrystalline nickel–cobalt ferrites \((\mathrm{Ni}_{1/2}\mathrm{Co}_{1/2}\mathrm{Fe}_{2}\mathrm{O}_{4})\) were prepared via the citrate route method at \(27\,^{\circ }\mathrm{C}\). The samples were calcined at \(300\,^{\circ }\mathrm{C}\) for 3 h. The crystalline structure and the single-phase formations were confirmed by X-ray diffraction (XRD) measurements. Prepared materials showed the cubic spinel structure with m3m symmetry and Fd3m space group. The analyses of XRD patterns were carried out using POWD software. It gave an estimation of lattice constant “\(a\)” of 8.3584 A, which was in good agreement with the results reported in JCPDS file no. 742081. The crystal size of the prepared materials calculated by Scherer’s formula was 27.6 nm and the electrical conductivity was around \(10^{-5}~\mathrm{S}\,\cdot \, \mathrm{m}^{-1}\). The permeability component variations with frequency were realized. The magnetic properties of the prepared materials were analyzed by a vibrating sample magnetometer (VSM). It showed a saturation magnetization of \(27.26\,\mathrm{emu} \cdot \mathrm{m}^{-1}\) and the behavior of a hard magnet.