At low potentials relative to the point of zero charge (PZC), the characteristic distribution of time constants in low frequency is absent. Only when the applied potential surpasses a critical threshold-leading to the formation of a compact layer-does the emergence of CPE behavior become evident. Figure presents the impedance response calculated using our model across different electrode potentials. Near the PZC, CPE behavior is not observed, as neither permittivity nor conductivity exhibit saturation. However, as the potential increases and ion concentration reaches levels where conductivity becomes maximized, the onset of CPE behavior occurs.