Electrochemistry Tools

Calculators researchers use every day: how conductivity changes with temperature, how voltage relates to energy, what an impedance spectrum looks like, and where a crystal diffracts X-rays.

σ(T) = σ(25 °C) · exp[−(Eₐ / kB)(1/T − 1/298.15 K)], kB = 8.617333262×10⁻⁵ eV/K[61]

  • Li₇P₃S₁₁ glass-ceramic
  • Li₃N (parallel to Li₂N planes)
  • Your material
10⁻⁹10⁻⁸10⁻⁷10⁻⁶10⁻⁵10⁻⁴10⁻³10⁻²10⁻¹10⁰2.53.03.54.01000 / T (K⁻¹) · hotter ← → colderIonic conductivity σ (S/cm, log scale)60 °C10⁻³ S/cm: a common practical target
Li₇P₃S₁₁ glass-ceramic at 60 °C3.5×10⁻² S/cm1.7×10⁻² S/cm, Eₐ = 17 kJ/mol (0.18 eV)[18]
Li₃N (parallel to Li₂N planes) at 60 °C2.8×10⁻³ S/cm10⁻³ S/cm at ambient temperature, Eₐ = 0.25 eV[24]
Your material at 60 °C5.1×10⁻⁴ S/cmσ(25 °C) = 1.0×10⁻⁴ S/cm, Eₐ = 0.40 eV

A straight line on this plot means a single activation energy: the steeper the line, the larger Eₐ and the faster conductivity drops in the cold. Some papers fit σT instead of σ; over this temperature range the difference is small. Presets use only values confirmed in their sources.