In this reported study, magnesium-substituted cobalt ferrite nanoparticles (Co_1−xMg_xFe₂O₄, x = 0.0, 0.20, 0.35, 0.50) have been investigated. The samples were prepared via a wet chemical co-precipitation route and were calcinated at 800 °C for 6 h. The structural, electrical, and dielectric properties of these samples were studied using XRD, SEM, FTIR, impedance analyzer, and LCR meter. The XRD diffractograms established the development of FCC spinel arrangement with decreasing crystallite size from 20 to 30 nm without any additional impurity peak confirming the purity of the samples synthesized. The FTIR spectra established the existence of tetrahedral (A) and octahedral (B) lattice sites in the structural arrangement. The SEM images showed uniform nano-spherical particle formation with minimum porosity. No extra phase or impurity was found, confirming the effectiveness of the co-precipitation route. The dielectric properties of the synthesized samples measured at ambiance temperature against frequency range of 10³ Hz to 5 MHz showed massive enhancement of dielectric constant (on the order of 10⁴ at 100 Hz) which was comparable to traditional ceramics (having a dielectric constant in the range of 10⁴–10⁶), which are often rendered suitable for capacitor applications. Furthermore, the low values of dielectric loss tangent at high frequencies verified its potential usage in microwave applications. A significant contribution of both long- and short-range order in hopping as well as an increase in grain boundary density was confirmed by complex electric modulus analysis. The DC electrical resistivity measurement against increasing temperatures was done, showing a typical decreasing trend with increasing temperature, validating the semiconductor nature of synthesized nanoparticles with varying compositions. The drift mobility was further calculated from the DC resistivity data.

在这项报道的研究中，镁取代的钴铁氧体纳米颗粒（Co _{1− x} Mg _x Fe ₂ O ₄，x = 0.0、0.20、0.35、0.50）。通过湿化学共沉淀途径制备样品，并在800°C下煅烧6 h。使用XRD，SEM，FTIR，阻抗分析仪和LCR测量仪研究了这些样品的结构，电学和介电性能。XRD衍射图建立了FCC尖晶石排列的发展，其晶粒尺寸从20 nm减小到30 nm，而没有任何其他杂质峰，从而证实了所合成样品的纯度。FTIR光谱确定了结构排列中四面体（A）和八面体（B）晶格位点的存在。SEM图像显示出具有最小孔隙率的均匀纳米球形颗粒形成。没有发现额外的相或杂质，证实了共沉淀途径的有效性。³  Hz至5 MHz表现出介电常数的大幅提高（在100 Hz时约为10 ⁴），可与传统陶瓷（介电常数在10 ⁴ –10 ⁶范围内）相比），通常适合电容器应用。此外，高频下介电损耗角正切值低，证明了其在微波应用中的潜在用途。复数电子模量分析证​​实了长程和短程在跳跃中的重要贡献以及晶界密度的增加。进行了针对升高的温度的DC电阻率测量，显示出随着温度升高典型的降低趋势，从而验证了具有变化组成的合成纳米颗粒的半导体性质。根据DC电阻率数据进一步计算漂移迁移率。