The impedance analysis was done with a custom-made Python script. The methodology for the analysis and the tortuosity factor extraction is based on the works of Landesfeind et al. and Pouraghajan et al. Due to the contact impedance shown by the high porosity electrodes, the use of the TLM-Q model proposed by Landesfeind et al. does not fit well the data. We have therefore used the assumptions described by Pouraghajan et al., considering a transmission line in which there are no effective faradaic reactions due to the blocking-electrolyte, no doublelayer effect between current collector and electrolyte, but there is an impedance associated with the contact between the electrode material and current collector (ZCC). This leads to an expression of the electrode impedance (ZE) that is: