Structural and elastic properties have been investigated for a series of heat treated Ni_xCu_0.1Zn_0.9−xFe₂O₄ (x = 0.5, 0.6, 0.7) nanoferrite powders which were synthesized using co-precipitation method. Rietveld refinement patterns revealed the spinel phase belonging to fd3m space group. Lattice parameters of the heat treated samples are in the range of (8.453–8.417 Å). As the substitution level of Ni²⁺ increased, the lattice parameter decreased in the samples sintered at 200 °C, but it was randomly varied in the in the samples sintered at 500 °C. The average crystallite size (4.1–10.9 nm) estimated from XRD as well as average particle size (5.5–11.3 nm) estimated from FE-SEM were found to be increased with the increase of Ni²⁺ ion concentration in sintered ferrite samples. Sintering process was promoting the growth of nanoparticle size. The spherical nature of ferrite nanoparticles was evident from the FE-SEM micrographs. The vibrational bands observed in the FTIR spectra confirm the cubic spinel phase of ferrite systems. The variation of vibrational bands seems to be dependent on the particular metal ion occupying the spinel structure rather than the changes in bond lengths of Fe³⁺–O²⁻ ion complexes. The present values of elastic moduli revealed the mechanical hardness of present heat treated ferrite samples. Interestingly, the elastic moduli depend upon the variation of both inter-atomic distances as well as cation redistribution. The identical value of Poisson’s ratio (0.35) is an authentication of isotropic behaviour of the present ferrite systems.

研究了使用共沉淀法合成的一系列热处理过的Ni _x Cu _0.1 Zn _{0.9− x} Fe ₂ O ₄（x  = 0.5、0.6、0.7）纳米铁氧体粉末的结构和弹性性能。Rietveld精炼模式揭示了尖晶石相属于fd3m空间群。热处理样品的晶格参数在（8.453–8.417Å）范围内。作为Ni ²⁺的取代水平增加，在200°C烧结的样品中晶格参数降低，但在500°C烧结的样品中晶格参数随机变化。XRD估计的平均微晶尺寸（4.1-10.9 nm）以及FE-SEM估计的平均粒径（5.5-11.3 nm）随着烧结铁氧体样品中Ni ²⁺离子浓度的增加而增加。烧结过程正在促进纳米颗粒尺寸的增长。从FE-SEM显微照片可以明显看出铁氧体纳米颗粒的球形性质。FTIR光谱中观察到的振动带证实了铁素体系统的立方尖晶石相。振动带的变化似乎取决于占据尖晶石结构的特定金属离子，而不是Fe ^3+的键长变化-O ²⁻离子络合物。弹性模量的当前值揭示了当前热处理的铁氧体样品的机械硬度。有趣的是，弹性模量取决于原子间距离的变化以及阳离子的重新分布。泊松比（0.35）的相同值证明了本发明铁氧体系统的各向同性行为。