“…The model considers the passive film layer ( R f , Q f ) and in series the charge transfer layer ( R ct , Q dl ), where R s is the solution resistance, R f and Q f are the passive film resistance and related double-layer constant phase element and R ct and Q dl are the charge transfer resistance and related electrical double-layer constant phase element, respectively. In general, capacitance is non-ideal due to the electrode surface roughness [ 27 , 28 , 29 , 30 ], which can be written as [ 30 , 31 , 32 , 33 ] where ω , j and n are the imaginary unit, angular frequency and exponent, respectively, and the constant phase element is equal to the capacitance while n = 1 [ 27 , 28 , 29 , 30 , 31 , 32 , 33 ].…”