Electron Plasma Frequency Calculator

Combine free-electron number density with elementary charge, vacuum permittivity, and electron mass, then take the square root. It is distinct from cyclotron frequency, which depends on magnetic field and charge-to-mass ratio. The calculator evaluates only the stated idealized equation and supplied values. It does not infer missing conditions, choose an experimental convention, or certify a measurement. Keep every quantity in the displayed unit and verify the model against the physical setup before relying on the result.

The frequency characterizes collective electron-density oscillation in the ideal model and scales with the square root of density. Propagation cutoffs and dielectric response depend on wave mode and a more complete plasma model. Numerical precision does not imply experimental accuracy. Compare the output with scale, sign, limiting cases, and an independent source, then account for uncertainty in measured inputs and constants before using it in laboratory, engineering, or safety-sensitive work.

Electrons form a cold, uniform, unmagnetized, collisionless plasma with a stationary neutralizing background. It excludes temperature, collisions, magnetic field, ion dynamics, relativistic particles, gradients, and non-neutral conditions. The result is educational and is not a simulation, calibration, engineering approval, or safety determination. More complete models may require geometry, material response, boundary conditions, relativistic frames, dispersion, losses, uncertainty propagation, or numerical field solutions not represented by these inputs.