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Glossary

Triangularity

The D-shaped asymmetry of a tokamak plasma cross-section — with recent research showing that negative triangularity may offer superior confinement without the damaging edge instabilities of conventional H-mode.

Reviewed Last reviewed: 9 Aug 2026 · Category: Glossary

Definition

Triangularity (δ) quantifies the D-shape of a tokamak’s plasma cross-section. Positive triangularity (δ > 0) means the plasma is wider on the outboard (low-field) side, creating the familiar D-shape pointing outward. Negative triangularity (δ < 0) reverses this, with the wider side pointing inward (toward the central column).[1]

Conventional value: Most tokamaks operate with δ ≈ +0.2 to +0.5. ITER uses δ ≈ +0.33. DIII-D has pioneered negative triangularity experiments with δ ≈ −0.15 to −0.4.

Positive Triangularity

Higher positive triangularity improves the Troyon beta limit and stabilises ballooning modes by reducing the pressure gradient on the bad-curvature (outboard) side. This has been the standard design choice since the 1980s and is used by ITER, JET, and most major tokamaks.[2]

Negative Triangularity Revolution

Recent experiments at DIII-D and TCV have shown that negative triangularity plasmas can achieve H-mode-level confinement while remaining in L-mode, avoiding edge-localized modes (ELMs) entirely. Since ELMs are one of the most dangerous transient heat loads for plasma-facing components, this “ELM-free H-mode-quality confinement” is extremely attractive for reactor design.[3]

The negative triangularity approach is being actively investigated for next-generation reactor designs.

Sources

  1. Wesson, J. Tokamaks. 4th ed., Oxford University Press, 2011.
  2. Austin, M.E. et al. "Achievement of reactor-relevant performance in negative triangularity shape in the DIII-D tokamak." Physical Review Letters, 122, 115001, 2019.
  3. Marinoni, A. et al. "The effect of plasma triangularity on turbulent transport." Plasma Physics and Controlled Fusion, 51, 055016, 2009.

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