Fusion triple product (n·T·τ_E)
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The triple product is the plasma density n multiplied by the ion temperature T multiplied by the energy confinement time τ_E, and it is the single number that expresses why fusion is hard: all three quantities must be high at the same time, and improving one usually degrades another. It is conventionally expressed in units of keV·s·m⁻³. For a self-sustaining deuterium-tritium burn the threshold is commonly quoted at roughly 3×10²¹ keV·s·m⁻³, though published values range up to about 5–6×10²¹ depending on which criterion is being applied, what profile shapes are assumed, and whether ignition or merely breakeven is the target. The magnetic and inertial approaches attack the same product from opposite ends — seconds at 10²⁰ m⁻³ versus fractions of a nanosecond at some 10³¹ m⁻³ — which is why their results are not directly comparable.
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Evidence · 2
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Connections · 2
- Wendelstein 7-Xassesses
- Lawson criterionderived_from
Assembled narrative · 1
Assembled from 23 blocks · 2 evidence · 22 related
- Story
- The triple product is the plasma density n multiplied by the ion temperature T multiplied by the energy confinement time τ_E, and it is the single number that expresses why fusion is hard: all three quantities must be high at the same time, and improving one usually degrades another. It is conventionally expressed in units of keV·s·m⁻³. For a self-sustaining deuterium-tritium burn the threshold is commonly quoted at roughly 3×10²¹ keV·s·m⁻³, though published values range up to about 5–6×10²¹ depending on which criterion is being applied, what profile shapes are assumed, and whether ignition or merely breakeven is the target. The magnetic and inertial approaches attack the same product from opposite ends — seconds at 10²⁰ m⁻³ versus fractions of a nanosecond at some 10³¹ m⁻³ — which is why their results are not directly comparable.
- Knowledge
- Wendelstein 7-X
- Fusion triple product (n·T·τ_E)
- Lawson criterion
- Connections
- Tokamak (toroidal magnetic confinement)
- Inertial confinement fusion
- Wendelstein 7-X
- Lawson criterion
- NIF exceeds the Lawson criterion for ignition
- EAST sustains a high-confinement plasma for 1,066 seconds
- Wendelstein 7-X sets a triple product record for long-duration plasmas
- Stellarator
- Fusion triple product (n·T·τ_E)
- Wendelstein 7-X sets a triple product record for long-duration plasmas
- Fusion triple product (n·T·τ_E)
- NIF exceeds the Lawson criterion for ignition
- NIF achieves target gain greater than unity for the first time
- Evidence
- The 8 August 2021 NIF shot produced about 1.35 MJ of fusion yield and exceeded the Lawson criterion for ignition without reaching target gain above unity
- An optimised stellarator has matched or exceeded tokamak triple-product values for long-duration plasmas, establishing magnetic confinement as more than one design lineage
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