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Mixed Potential Theory Corrosion Calculator

Wagner and Traud’s Mixed Potential Theory is the foundational framework of electrochemical corrosion kinetics.

Standard reversible potential for metal dissolution (e.g. -0.44 V for Fe/Fe²⁺ vs SHE).

Exchange current density for anodic reaction.

Anodic Tafel slope (typically 0.06 to 0.12 V/decade).

Standard reversible potential for cathodic reaction (e.g. +0.40 V for O₂ reduction).

Exchange current density for cathodic reaction.

Cathodic Tafel slope (typically 0.10 to 0.16 V/decade).

What Is the Mixed Potential Theory Corrosion Calculator?

Mixed potential theory states that electrochemical reactions occurring on a conductive surface couple to reach a common mixed potential Ecorr.

No net charge accumulates on the metal, requiring the total rate of oxidation to equal the total rate of reduction.

How Does the Mixed Potential Theory Corrosion Calculator Work?

The intersection of anodic and cathodic polarization curves determines Ecorr and icorr.

The Stern-Geary constant B connects icorr to linear polarization resistance Rp measured via LPR probes.

Mixed Potential Theory Corrosion Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

E_{corr} = \frac{\beta_a \beta_c}{\beta_a + \beta_c} \left[ \log_{10}\left(\frac{i_{0,c}}{i_{0,a}}\right) + \frac{E_{a}}{\beta_a} + \frac{E_{c}}{\beta_c} \right], \quad R_p = \frac{\beta_a \beta_c}{2.303 (\beta_a + \beta_c) i_{corr}}

Evans diagram intersection equations based on Tafel activation polarization kinetics.

How to Use the Mixed Potential Theory Corrosion Calculator

  1. Enter reversible potentials, exchange current densities, and Tafel constants for both half-cell reactions.
  2. Obtain corrosion potential, current density, and polarization resistance.

Step-by-Step Example Calculation

Carbon Steel Acid Corrosion

Input Values:

anodicEquilibriumPotentialV:-0.44
anodicExchangeCurrentDensityA:0.0001
anodicTafelSlopeVPerDecade:0.08
cathodicEquilibriumPotentialV:0
cathodicExchangeCurrentDensityA:0.00001
cathodicTafelSlopeVPerDecade:0.12
Worked Steps: Computes mixed corrosion potential and baseline corrosion current density.

Understanding Your Result

icorr directly translates to material loss rate in mm/year via Faraday’s Law.

A high polarization resistance Rp corresponds to low corrosion rates.

Factors That Affect the Result

  • Oxidizer concentration (dissolved O2) shifts cathodic exchange current and increases corrosion rate.
  • Passivation reduces anodic dissolution kinetics by orders of magnitude.

When Should You Use This Calculator?

  • Corrosion engineering, LPR sensor data interpretation, inhibitor screening, and galvanic coupling studies.

Assumptions & Limitations

  • Assumes activation-controlled Tafel polarization without mass transfer / diffusion limiting current.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Rigorous analytical solution of coupled Butler-Volmer Tafel lines.

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