Plasma Electron Relaxation Time Calculator

Calculate Plasma Electron Relaxation Time (τ)

A typical value for fusion plasmas is 1014 to 1015 cm-3.
Often ranges from hundreds to thousands of eV.
Typically 1 for hydrogen plasma.
Usually between 10 and 20 for fusion relevant plasmas.

Understand the crucial plasma electron relaxation time, also known as thermalization time, with our easy-to-use calculator. This tool helps physicists and engineers determine the time required for electrons in a plasma to reach thermal equilibrium, a key parameter in fusion energy, astrophysics, and material science.

Formula:

To calculate the electron-ion relaxation time (τei), we first determine the electron-ion collision frequency (νei).

Formula for Collision Frequency (νei):
νei = (2.91 × 10-6) × (ne × Z × lnΛ) / (Te)3/2

Formula for Relaxation Time (τei):
τei = 1 / νei

Where:

  • τei: Electron-ion relaxation time (seconds)
  • νei: Electron-ion collision frequency (Hz)
  • ne: Electron density (in cm-3)
  • Z: Ion charge number (dimensionless)
  • lnΛ: Coulomb logarithm (dimensionless)
  • Te: Electron temperature (in eV)

Physics and Science Tools

Doppler Effect Red Shift Frequency

Go to Calculator

Doppler Effect Wavelength

Go to Calculator

Fermi Temperature of Electrons

Go to Calculator