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Glossary

Plasma Density

The number of particles per unit volume in a fusion plasma — a critical parameter that must be high enough for fusion but below the Greenwald limit to avoid disruptions.

Reviewed Last reviewed: 9 Aug 2026 · Category: Glossary

Definition

Plasma density in fusion refers to the number density of electrons (ne) or ions (ni) per cubic metre. Fusion-relevant densities range from about 1019 to 1021 m−3, depending on the confinement concept. For comparison, atmospheric air has a density of about 2.5×1025 m−3 — fusion plasma is a very good vacuum by everyday standards.[1]

ITER parameters: ITER targets an electron density of about 1×1020 m−3 — roughly one million times less dense than air but still enough, at 150 million degrees, to produce significant fusion power.

The Greenwald Limit

In tokamaks, the maximum achievable density is empirically limited by the Greenwald density limit: nG = Ip/(πa²) (in units of 1020 m−3, with plasma current in MA and minor radius in metres). Operating above this limit typically triggers a disruption. Exceeding the Greenwald limit safely remains an active research goal.[2]

Measurement

Plasma density is measured using interferometry (measuring the phase shift of a laser beam passing through the plasma), Thomson scattering (measuring scattered laser light), and reflectometry (detecting the reflection of microwave beams from critical-density layers).[3]

Sources

  1. Wesson, J. Tokamaks. 4th ed., Oxford University Press, 2011.
  2. Greenwald, M. "Density limits in toroidal plasmas." Plasma Physics and Controlled Fusion, 44, R27, 2002.
  3. Freidberg, J.P. Plasma Physics and Fusion Energy. Cambridge University Press, 2007.

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