Using the auto combustion flash method, Ni1−x+2Mgx+2Fe2+3O4 (x = 0, 0.2, 0.6, 0.8 and 1) nano-ferrites were synthesized. All samples were thermally treated at 973 K for 3 h. The structural analysis for the synthesized samples was performed using XRD, high-resolution transmission electron microscopy (HRTEM), and FTIR. Scanning electron microscopy (SEM) was undertaken to explore the surface morphology of all the samples. The thermal stability of these samples was investigated using thermogravimetric analysis (TGA). XRD data show the presence of a single spinel phase for all the prepared samples. The intensity of the principal peak of the spinel phase decreases as Mg content increases, showing that Mg delays crystallinity. The Mg content raised the average grain size (D) from 0.084 μm to 0.1365 μm. TGA shows two stages of weight loss variation. The vibrating sample magnetometer (VSM) measurement shows that magnetic parameters, such as initial permeability (μi) and saturation magnetization (Ms), decay with rising Mg content. The permeability and magnetic anisotropy at different frequencies and temperatures were studied to show the samples’ magnetic behavior and determine the Curie temperature (TC), which depends on the internal structure. The electrical resistivity behavior shows the semi-conductivity trend of the samples. Finally, the dielectric constant increases sharply at high temperatures, explained by the increased mobility of charge carriers, and decreases with increasing frequency.

Ni0.6Mg0.4Fe2O4 ferrite sample was obtained employing the auto combustion flash technique and is overheated for three hours at 700℃. Utilizing the casting procedure, a freestanding magnetic film was created by combining Ni0.6Mg0.4Fe2O4 nanoparticles with methyl cellulose (MC). X-ray Diffraction (XRD), transmission electron microscopy (TEM), and Fourier transition infrared spectroscopy (FTIR) are hired to depict the structural properties of the synthesized samples. All samples' surface morphology was tutored employing scanning electron microscopy (SEM). M-H loops were harnessed to mensuration magnetic properties such as coercivity (Hc), saturation magnetization (Ms), and retentivity (Mr). At various frequencies, the temperature dependence of the initial magnetic permeability was gauged. The Ultraviolet and visible spectroscopy (UV-vis) absorption spectrum displayed that the absorption of Ni0.6Mg0.4 Fe2O4 at MC is in the UV-A region up to 270 nm.