β-β″-Al2O3 precursor powder was successfully prepared by a solid-phase sintering method with Li2CO3, Na2CO3 (as the sources of Li2O and Na2O, respectively) and α-Al2O3 powder as the raw materials. The precursor was characterized by X-ray diffraction (XRD) and scanning electron microscope (SEM). The results indicate that the amount of Na2O in the raw materials has a great effect on the formation of β″-Al2O3 in the β-β″-Al2O3 precursor. When Na2O content is 10 wt%, the content of β″-Al2O3 phase reaches the maximum value of 86.24 wt% in the precursor. The β-β″-Al2O3 ceramic was prepared from β-β″-Al2O3 precursor powder by isostatic pressing and burying sintering process. The conductive property of the β-β″-Al2O3 ceramic was examined by electrochemical impedance spectroscopy (EIS) method, and the density was measured by the Archimedes method. The results reveal that when 10 wt% Na2O was added, the sample exhibits the best performance with the lowest resistivity of 4.51 Ω·cm and the highest density of 3.25 g·cm−3. A solid electrolyte battery of Pt|SnO2, Na2SnO3|β-β″-Al2O3|NaCrO2, Cr2O3|Pt was assembled by the β-β″-Al2O3 electrolyte tube to measure the open potential of the resulting battery, and the formation free energy of sodium stannate was calculated. In the temperature range of 1273–773 K, the relationship between formation free energy of sodium stannate and temperature was generated as follows: \(\Delta G_{{{\text{Na}}_{ 2} {\text{SnO}}_{ 3} }}^{0 } = - 1040.83 + 0.2221T \pm 7.54\).
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