Electrode Interface Potential Drop Calculator

Formula Used

The total potential drop at the electrode-electrolyte interface is determined by combining the activation overpotential, concentration overpotential, and the ohmic potential drop across the system:

• Activation Overpotential ($\eta_{act}$): Derived from the Tafel equation approximation of the Butler-Volmer model: $$\eta_{act} = \frac{RT}{\alpha n F} \ln\left(\frac{j}{j_0}\right)$$
• Concentration Overpotential ($\eta_{conc}$): Calculated based on mass transport limitations: $$\eta_{conc} = \frac{RT}{n F} \ln\left(1 - \frac{j}{j_L}\right)^{-1}$$
• Ohmic Potential Drop ($V_{ohm}$): Calculated using Ohm's law with total current and electrolyte resistance: $$V_{ohm} = (j \cdot A) \cdot R$$

How to Use This Calculator

1. Enter your current density ($j$) and exchange current density ($j_0$) in amperes per square centimeter.
2. Provide environmental and physical constants such as absolute temperature ($T$) in Kelvin and transfer coefficient ($\alpha$).
3. Input secondary parameters including electrode surface area, electrolyte resistance, and limiting current density.
4. Click the Calculate Potential Drop button to view instant comprehensive breakdowns above the form.