// multi-utility computation suite · offline · instant · precise
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sci.Butler-Volmer-overpotential Calculator
Calculates electrode current density from overpotential using the Butler-Volmer equation: i = i₀(exp(αFη/RT) − exp(−(1−α)FηRT)). Exchange current density i₀ spans 10⁻¹⁰ to 10⁻¹ A/cm² depending on the electrode — Pt for H₂ oxidation has i₀ ≈ 10⁻³ A/cm², making it the best electrocatalyst.
Inputs
I0 A M2
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Alpha
Reference formula or conversion factor shown for context.
Eta V
Reference formula or conversion factor shown for context.
T K
Thermal state of the substance. Check whether the formula needs Celsius, Fahrenheit, or Kelvin (K = °C + 273.15).
Results
current density i (A/m²)
Electric charge flow rate (A). Governs wire sizing — too much current causes dangerous heating. Fuses protect circuits from overcurrent.
Tafel slope (mV/decade)
The gradient -- rise divided by run. In finance, rate of change per unit time.
exchange current density i₀ (A/m²)
Electric charge flow rate (A). Governs wire sizing — too much current causes dangerous heating. Fuses protect circuits from overcurrent.
i = i₀[exp(αfη) − exp(−(1−α)fη)]
Reference formula or conversion factor shown for context.
high η Tafel: i ≈ i₀·exp(αfη)
Reference formula or conversion factor shown for context.