“…Besides the sensitivity of the copper oxide superconductivity, perovskite cobaltates are the systems that are extensively susceptible to the oxygen content for the different oxidation states of cobalt (Co 2+ , Co 3+ , and Co 4+ ) and electronic spin states. , Among them, the oxygen-deficient double-perovskite structures with the formula of RBaCo 2 O 5.5+δ (RBCO, R = rare earth cations) become the fascinating family in the tunable multifunctional materials because of the peculiar order–disorder at the A-site and their excellent mixed ionic/electronic conductivity. This makes them suitable for many practical applications in solid oxide fuel cells, separation membranes, gas sensors, and transducers among others. − In particular, double-perovskite PrBaCo 2 O 5.5+δ (PBCO) is one of the most intriguing materials for its fast oxygen kinetics at intermediate temperatures and sensitivity of physical properties to the oxygen content. ,− …”