La[Al_1−x(Mg_0.5Ti_0.5)_x]O₃ (LAMT, x = 0‐0.2) ceramics were synthesized by the conventional solid‐state reaction method and formed a solid solution. The pure solid solutions were recorded by X‐ray diffraction (XRD) in every range. Relative permittivity (ε_r) and structural stability were greatly affected because the Al³⁺ site was replaced by [Mg_0.5Ti_0.5]³⁺. The total ionic polarizability gradually increased with x, and ε_r gradually increased. The trend of τ_f is due to the change in structural stability. The variation in Q × f value increased firstly and then decreased due to the change in the symmetric stretching mode of Al/MgTi–O. The optimum microwave dielectric properties of LAMT were obtained at x of 0.1 after sintering at 1650°C for 5 hours, and ε_r = 24.9, Q × f = 79 956 GHz, and τ_f = −33 ppm/°C. The CaTiO₃ have a large positive τ_f (+800 ppm/°C), thus, the τ_f achieved near zero when CaTiO₃ and LAMT (x = 0.1) ceramics were mixed with a certain molar mass, and the optimum microwave dielectric properties of 0.65CaTiO₃–0.35LaAl_0.9(Mg_0.5Ti_0.5)_0.1O₃ were as follows: ε_r = 44.6, Q × f = 32 057 GHz, and τ_f = +2 ppm/°C.

中文翻译：

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La [Al1-x（Mg0.5Ti0.5）x] O3（x = 0-0.2）基陶瓷的晶格结构和微波介电性能

 通过常规固相反应方法合成了La [Al _{1- x}（Mg _0.5 Ti _0.5）_x ] O ₃（LAMT，x = 0-0.2）陶瓷，并形成了固溶体。通过X射线衍射（XRD）在每个范围内记录纯固溶体。相对介电常数（ε _{- [R} ）和结构稳定性受到很大的影响，因为在Al ³⁺网站是由[镁代替_0.5钛_0.5 ] ³⁺。总离子极化与逐渐增加X，和ε _{- [R}逐渐增加。τ的趋势_f是由于结构稳定性的变化。由于Al / MgTi–O对称拉伸模式的变化，Q×f值的变化先增大然后减小。在得到LAMT的最佳微波介电性能X在1650℃下烧结5小时后的0.1，并且ε _{- [R}  = 24.9，Q  ×  ˚F = 79 956千兆赫，和τ _˚F  = -33 PPM /℃。所述的CaTiO ₃具有大的正τ _˚F（800 PPM /℃），因此，τ _˚F接近零时的CaTiO实现₃和LAMT（X = 0.1）陶瓷用一定的摩尔质量混合，0.65CaTiO的最佳微波介电性能₃ -0.35LaAl _0.9（MG _0.5的Ti _0.5）_0.1 ø ₃如下：ε _{- [R}  = 44.6，Q  ×  ˚F = 32 057千兆赫，和τ _˚F  = 2 PPM /℃。