Abstract A series of nanocrystalline Co0.5-xCuxZn0.5Fe2O4 (0 ≤ x ≤ 0.25) samples were synthesized in auto combustion route. Archimedes's principle was used to measure density of all samples. The substitution of copper give rise to a gradual rise in experimental density and a noticeable decrease in porosity. Far-Infrared, MID-Infrared and Raman spectra were recorded at room temperature. They displayed characteristic vibrational modes with significant changes with copper substitution. Surface Morphology was studied with Scanning Electron Microscope and spherical grains having clear grain boundaries were observed with an increase in copper concentration. Transmission Electron Microscopy study was performed for the sample with copper concentration x = 0.15 to identify nano-metric dimensions of the particles and it was characterized with interplanar spacing obtained from Selective Area Electron Diffraction pattern. Curie temperature, permeability, DC and AC Electrical resistivities along with dielectric properties were presented. The modifications in electrical properties of all samples were discussed with the help of polaron hopping mechanism and physical properties.

中文翻译：

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Co0.5-xCuxZn0.5Fe2O4 (0 ≤ x ≤ 0.25) 纳米晶铁氧体：结构、磁和电性能

摘要 采用自燃法合成了一系列纳米晶Co0.5-xCuxZn0.5Fe2O4 (0 ≤ x ≤ 0.25)样品。阿基米德原理用于测量所有样品的密度。铜的替代导致实验密度的逐渐增加和孔隙率的显着降低。在室温下记录远红外、中红外和拉曼光谱。它们显示出特征振动模式，随着铜取代而显着变化。用扫描电子显微镜研究表面形态，随着铜浓度的增加，观察到具有清晰晶界的球形晶粒。对铜浓度 x = 0 的样品进行了透射电子显微镜研究。15 以识别颗粒的纳米尺寸，并用从选择性区域电子衍射图案获得的晶面间距进行表征。介绍了居里温度、磁导率、直流和交流电阻率以及介电特性。在极化子跳跃机制和物理性质的帮助下讨论了所有样品的电学性质的改变。