Debye Length Calculator

Property to Calculate:

Debye length (λ_D):

Electron temperature (T_e):

Electron density (n_e):

How This Is Calculated

$$ \lambda_D = \sqrt{ \frac{\epsilon_0 k_B T_e}{n_e e^2} } $$ where:

λ_D = Debye length (m)

ε₀ = Permittivity of free space (8.854 x 10^-12 F/m)

k_B = Boltzmann constant (1.381 x 10^-21 J/K)

T_e = Electron temperature (K)

n_e = Electron density (electrons/m³)

e = Elementary charge (1.602 x 10^-19 C)

Assumptions

Plasma is uniform and electron density is consistent.
Temperature effects on the electron distribution are neglected.
Collisional effects between electrons and ions are negligible.
The plasma remains incompressible.

Related Calculators

Ionization Rate

Plasma Frequency

Ballistic Coefficient

Ballistic Velocity

Density in Exponential Atmoshpere