Equations · equation

Plasma Frequency

Plasma Physics · 1929

Equation
ω_p = √(n·e² / (ε₀·mₑ))
Field
Plasma Physics
Named After
Lewi Tonks · Irving Langmuir
Symbols
ω_p natural sloshing frequency of the electrons · n electron density · e electron charge · ε₀ permittivity of free space · mₑ electron mass
Year
1929

Significance

Displace a plasma's electrons and they slosh back at this frequency — waves below it bounce off, waves above pass through. It's why shortwave radio skips off the ionosphere to cross oceans, and why metals (a plasma of conduction electrons) are shiny mirrors to visible light.

Minerals

Related

Constants

Elements

Referenced by

constant
element
equation

Open on the Equations shelf — the interactive card, the filters, and everything alongside it.

From the Equations database in Notion, last edited 2026-08-15. This page is the row, rendered by the build; nothing on it is written by hand.