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EIS Data Analysis for Ceramic Electrolytes

Calculate conductivity and analyse temperature-dependent transport using transparent, interactive tools.
EIS WORKFLOW / DATA ANALYSIS TOOL 01

From impedance to transport properties.

Convert a fitted resistance into ionic conductivity using the sample geometry, then estimate an apparent activation energy from temperature-dependent conductivity data. Enter your own values; all calculations run locally in your browser.

CALCULATOR 01

Conductivity from resistance

Use the resistance extracted from the relevant arc or intercept, not automatically the total cell resistance.
σ = L / (R A)    and    ρ = R A / L
Calculated conductivity0.400 mS cm⁻¹
Calculated resistivity2,500 Ω cm

The geometry factor is L/A. Convert millimetres consistently before calculating; the tool performs the conversion to centimetres.

CALCULATOR 02

Activation energy from σ(T)

For a thermally activated process represented by σT = σ₀ exp(−Eₐ/kBT), the slope of ln(σT) against 1/T is −Eₐ/kB.

Two-point apparent activation energy0.53 eV

This is a two-point estimate. Use multiple temperatures and linear regression for a defensible activation energy.

MULTI-POINT ANALYSIS

Arrhenius regression

Enter at least three temperature–conductivity pairs. The tool fits ln(σT) = intercept + slope × (1/T), reports R² and calculates Eₐ = −slope × kB.

Point Temperature (°C) σ (S cm⁻¹)
1
2
3
4
5
Regression activation energy—
Coefficient of determination (R²)—

The plot uses x = 1000/T (K⁻¹) and y = ln(σT), with T in kelvin.

Interpretation limits: The calculator assumes the supplied resistance represents the physical contribution of interest and that the sample geometry is correct. In polycrystalline ceramics, bulk, grain-boundary and electrode responses may overlap; assigning an arc to a process requires frequency range, capacitance scale, microstructure and measurement configuration to be considered. Arrhenius linearity should be assessed over a physically justified temperature interval. A change in slope may indicate a change in dominant transport mechanism, hydration state, defect chemistry or microstructure—not automatically a single activation energy.