Warburg impedance is typically represented in the form of a complex impedance, Z_W, which has both real (resistive) and imaginary (capacitive) components. Mathematically, it can be expressed as:
\[ Z_W = \frac{A}{\sqrt{\omega}}(1 - j) \]
where A is the Warburg coefficient, Ï is the angular frequency, and j is the imaginary unit. This representation is crucial for understanding and modeling electrochemical systems in catalysis, particularly through techniques like Electrochemical Impedance Spectroscopy (EIS).