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PHYSICS / PLASMA SCREENING

Electron Debye Length Calculator

Calculate ideal electron Debye screening length from electron temperature and number density.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

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Equation inputs

Preparing the calculator...

METHOD / WORKED EXAMPLE

Understand Electron Debye Length

Calculate ideal electron Debye screening length from electron temperature and number density. The visible SI inputs keep the selected physical model auditable.

WORKED DEFAULT

Check the calculation with the default inputs

At 11,604.518 K and 10^18 electrons per cubic metre, the electron Debye length is about 7.43 micrometres.

  1. Check measured inputsT_e, n_e
  2. Apply the stated modellambda_D = sqrt(epsilon_0 k_B T_e/(n_e e^2))
  3. Review domain and unitsThe input is a uniform classical electron population with temperature in kelvin and a stationary neutralizing background.

READ THE RESULT

Interpret the output in context

The length indicates the ideal scale over which electrostatic disturbances are screened.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Density counts free electrons per cubic metre.
  • The classical single-electron-temperature model applies.

The input is a uniform classical electron population with temperature in kelvin and a stationary neutralizing background.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

NIST CODATA constants

COMMON QUESTIONS

Electron Debye Length Calculator FAQs

Which model does Electron Debye Length Calculator use?

Balance thermal spreading against electrostatic screening for an electron population. Temperature is entered in kelvin; 11,604.518 K is approximately one electronvolt under this conversion. It evaluates only the displayed equation and entered SI values; it does not infer material data or experimental conditions. Confirm the convention and inputs against the physical setup before using the result.

How should I interpret this plasma screening result?

The length indicates the ideal scale over which electrostatic disturbances are screened. Higher temperature lengthens screening while higher density shortens it. Display precision is not measurement accuracy. Check dimensions, scale, limiting cases, and input uncertainty against an independent source before using the value in laboratory, engineering, or safety-sensitive work.

What is outside this calculator's scope?

The input is a uniform classical electron population with temperature in kelvin and a stationary neutralizing background. Ion contributions, multiple species, strong coupling, degeneracy, magnetic effects, and gradients are excluded. This educational result is not a simulation, calibration, design approval, or safety determination. Real systems may require measured properties, geometry, boundary conditions, uncertainty propagation, and numerical models beyond these inputs.

Use boundary

Calculation path

Balance thermal spreading against electrostatic screening for an electron population. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

lambda_D = sqrt(epsilon_0 k_B T_e/(n_e e^2))