“…S7 (see supporting information), respectively. A spike at 1 MHz due to an instrument artifact was found to be consistent with our earlier studies [15,37,38], hence the data points above 1 MHz were omitted for clarity in the figures. In air, the impedance plots can be modeled using an equivalent circuit consisting of three series of parallel resistance-constant phase element contributions (R b CPE b )(R gb CPE gb ) (R el CPE el ) where R b , CPE b , R gb , CPE gb , R el , and CPE el represent bulk resistance, constant phase element due to bulk, grain-boundary resistance, constant phase element due to grain-boundary, electrode resistance and CPE due to electrode effect, respectively.…”