In this article, Bi_1–xCo_xFe_0.8Mn_0.2O₃ (BCFMO) nanoparticles with x = 0.0, 0.05, 0.10, 0.15, 0.20, 0.25, and 0.30 were synthesized at 650°C and annealed for 1 h by the sol–gel method. Then, the structural, magnetic, dielectric, and optical properties of BCFMO nanoparticles were investigated with the substitution of cobalt and manganese elements for bismuth and iron under various percentages. X-ray diffraction (XRD), Fourier transform-infrared spectroscopy (FT-IR), field emission scanning electron microscopy (FESEM), transmission electron microscopy (TEM), vibrating sample magnetometer (VSM), and ultraviolet (UV)–visible spectrophotometer were used to characterize the prepared samples. By using LCR meter, the dielectric constant ( $\varepsilon ^{\prime }$ ), the dielectric loss factor (tan $\delta$ ), the dielectric loss ( $\varepsilon ^{\prime \prime }$ ), and the electrical conductivity amounts of ac ( $\sigma _{\mathrm {ac}}$ ) for BCFMO nanoparticles were measured at the annealing temperature of 650°C for 1 h in the frequency range of 100 Hz–5 MHz.

中文翻译：

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Mn 和 Co-Doped BiFeO3 (Bi1–xCoxFe0.8Mn0.2O3) 纳米颗粒的结构、磁性、介电和光学特性的研究

在这篇文章中，Bi _1-x Co _x Fe _0.8 Mn _0.2 O ₃ (BCFMO) 纳米粒子 x = 0.0、0.05、0.10、0.15、0.20、0.25 和 0.30 在 650°C 下合成并通过退火处理 1 小时溶胶-凝胶法。然后，研究了 BCFMO 纳米粒子的结构、磁性、介电和光学性能，其中钴和锰元素在不同百分比下取代了铋和铁。X 射线衍射 (XRD)、傅里叶变换红外光谱 (FT-IR)、场发射扫描电子显微镜 (FESEM)、透射电子显微镜 (TEM)、振动样品磁强计 (VSM) 和紫外 (UV)-可见分光光度计用于表征制备的样品。通过使用LCR 米，介电常数（ $\varepsilon ^{\prime }$ )，介电损耗因数（tan $\delta$ )，介电损耗 ( $\varepsilon ^{\prime \prime }$ )，以及 ac ( $\sigma _{\mathrm {ac}}$ ) 对于 BCFMO 纳米粒子，在 100 Hz–5 MHz 的频率范围内，在 650°C 的退火温度下测量 1 小时。