The effect of calcining and sintering conditions on the microwave dielectric properties of Na0.5Sm0.5TiO3 (NST) solid solutions were investigated. The results showed that, after being calcined at 1100 °C for 2 h, the proposed NST system sintered at 1350 °C for 4 h exhibited a good microwave dielectric properties. Additionally, the phase assemblages, crystal structures, microstructures and microwave dielectric properties of the Na0.5Sm0.5[Ti1−x(Al0.5Ta0.5)x]O3 (NSTATx, 0.1 ≤ x ≤ 0.3) and (1 − x)Na0.5Sm0.5TiO3–xSm(Mg0.5Ti0.5)O3 (NST–SMTx, 0.1 ≤ x ≤ 0.4) ceramics were also investigated in this work. The X-ray diffractometer results revealed that a tilted orthorhombic perovskite structure in space group Pnma was refined in the NSTATx ceramics, while the Ti7O13 phase, Sm2Ti2O7 phase, and some unknown phase were detected gradually in NST–SMTx ceramics with increasing x value. Moreover, for the NSTATx solid solutions, a decreasing permittivity (er) and a significant drop in quality factor (Q × f) were strongly correlated with ionic polarizability and grain sizes, respectively. On the other hand, the er and Q × f values of the NST–SMTx ceramics were strongly depended on the composition and phase assemblages. Furthermore, the temperature coefficient of the resonant frequency (τf) of the present ceramic systems could be adjusted by the changed tilting of oxygen octahedra. An optimized microwave dielectric properties with er ~ 59.4, Q × f ~ 22,200 GHz (at 4.06 GHz) and τf ~ 6.1 ppm/°C can be obtained in the NST–SMTx (x = 0.3) specimen sintered at 1450 °C for 4 h.
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