Abstract We fabricated by solid-state ceramic technique single-phase mixed spinel ZnxMg0.3−xCu0.7Al0.3Fe1.7O4 with x index from 0.05 to 0.25, step 0.05 for the first time. The goal was to study the effect of cation doping on internal structure and magnetic properties of the material. The ferrites were first characterized by X-ray diffraction to confirm their purity. Magnesium and Zinc cations showed tetrahedral site preference, while Aluminum cations preferred the octahedral site. The effective magnetic moment and exchange interaction increased with the Zinc content. The pure single phase structures allowed us to investigate the vibrational spectra based on the symmetry conditions. We found only two infrared bands, while based on symmetry calculation of the factor group, four bands are predicted. The number of atoms and their relative arrangement in the crystal are the main criteria to define the active vibrational bands as predicted by factor group theory and the magnetic response of the material.

中文翻译：

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多元素尖晶石铁氧体磁谱和振动谱的对称性

摘要 我们首次采用固态陶瓷技术制备了x 指数从0.05 到0.25、步长0.05 的单相混合尖晶石ZnxMg0.3-xCu0.7Al0.3Fe1.7O4。目的是研究阳离子掺杂对材料内部结构和磁性能的影响。铁氧体首先通过 X 射线衍射表征以确认其纯度。镁和锌阳离子表现出四面体位点偏好，而铝阳离子则偏好八面体位点。有效磁矩和交换相互作用随着锌含量的增加而增加。纯单相结构使我们能够基于对称条件研究振动光谱。我们只发现了两个红外波段，而根据因子群的对称性计算，预测了四个波段。