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Nuclear Fusion Reactions

The physics behind the main fusion fuel cycles — D-T, D-D, D-³He, and p-¹¹B — their cross-sections, products, energy yields, and why the choice of reaction shapes everything about a reactor.

Reviewed Last reviewed: 9 Aug 2026 · Category: Explainers

Nuclear fusion is the process of combining light atomic nuclei to form heavier ones, releasing energy in the process. The energy comes from the difference in nuclear binding energy between the reactants and products — the same mechanism that powers the Sun. But not all fusion reactions are equal. The choice of fuel cycle determines the temperature required, the energy yield, the types of particles produced, and the engineering challenges of the reactor. This article covers the four most important fusion reactions under active investigation.[1]

Why Fusion Releases Energy

The key to understanding fusion energy is the binding energy curve. Atomic nuclei are held together by the strong nuclear force, and the binding energy per nucleon (proton or neutron) varies with atomic mass. Light nuclei like hydrogen and helium have lower binding energy per nucleon than medium-mass nuclei like iron. When light nuclei fuse to form a heavier nucleus closer to the peak of the binding energy curve, the difference in binding energy is released, primarily as kinetic energy of the products.

The challenge is that all nuclei are positively charged and repel each other via the Coulomb (electrostatic) force. To fuse, nuclei must be brought close enough for the short-range strong force to overcome this repulsion. This requires either extremely high temperatures (to give nuclei enough kinetic energy to overcome the Coulomb barrier) or quantum mechanical tunneling (where nuclei have a small probability of passing through the barrier even without sufficient classical energy). In practice, both effects contribute, and the reaction rate is characterized by the fusion cross-section — a measure of the probability of fusion at a given relative energy.[2]

Deuterium-Tritium (D-T)

The deuterium-tritium reaction is the most accessible fusion reaction and the basis for nearly all near-term fusion reactor designs, including ITER, SPARC, and most private-sector machines:

D + T → ⁴He (3.5 MeV) + n (14.1 MeV)
Total energy: 17.6 MeV per reaction
Optimal temperature: ~13 keV (~150 million °C)
Peak cross-section: ~5 barns at ~64 keV center-of-mass energy

D-T has the highest fusion cross-section at the lowest temperature of any fusion reaction, making it by far the easiest to achieve in a laboratory or reactor. The reaction produces a helium-4 nucleus (alpha particle) carrying 3.5 MeV and a neutron carrying 14.1 MeV. The alpha particle, being charged, remains confined by the magnetic field and heats the plasma (self-heating). The neutron, being electrically neutral, escapes the plasma and deposits its energy in the surrounding blanket structure.[1]

Advantages: Lowest ignition temperature. Highest reactivity. Best understood plasma physics. The path of least resistance to net energy.

Challenges: Tritium is radioactive (half-life 12.3 years) and extremely rare in nature. It must be bred from lithium using the neutrons produced by the fusion reaction itself. The 14.1-MeV neutrons cause severe radiation damage to structural materials, limiting component lifetimes and requiring remote maintenance. Approximately 80% of the fusion energy is carried by neutrons, meaning most energy capture occurs outside the plasma in the blanket and heat-exchange systems.

Deuterium-Deuterium (D-D)

The deuterium-deuterium reaction avoids the need for tritium entirely, using only deuterium, which is abundant in seawater (1 in every 6,420 hydrogen atoms is deuterium):

D + D → ³He (0.82 MeV) + n (2.45 MeV)  [50% probability]
D + D → T (1.01 MeV) + p (3.02 MeV)  [50% probability]
Average energy: ~3.65 MeV per reaction
Required temperature: >50 keV (~580 million °C)

D-D fusion proceeds through two branches with roughly equal probability. One produces helium-3 and a neutron; the other produces tritium and a proton. The tritium produced in the second branch will itself fuse with deuterium (catalyzed D-D cycle), ultimately converting most of the fuel energy into charged particles and neutrons.[2]

Advantages: Fuel is abundant and non-radioactive. No tritium breeding blanket needed (though tritium is produced as an intermediate). Lower-energy neutrons cause less structural damage than D-T neutrons.

Challenges: The cross-section is roughly 100 times lower than D-T at comparable temperatures, requiring much higher plasma temperatures and pressures. The energy yield per reaction is about 5 times lower. A D-D reactor would need to be significantly larger or achieve much better confinement than a D-T reactor to produce equivalent power. No D-D reactor is currently under development as a near-term device.

Deuterium-Helium-3 (D-³He)

The deuterium-helium-3 reaction is attractive because it produces no neutrons in the primary reaction:

D + ³He → ⁴He (3.6 MeV) + p (14.7 MeV)
Total energy: 18.3 MeV per reaction
Required temperature: >60 keV (~700 million °C)
Peak cross-section: ~0.7 barns at ~250 keV

Both products are charged particles, meaning in principle all the fusion energy could be captured directly within the plasma or through direct energy conversion (without a thermal cycle), potentially enabling much higher efficiency and greatly reduced neutron damage to structures.[3]

Advantages: Primary reaction is aneutronic — no 14.1-MeV neutrons. Greatly reduced activation of structural materials. Potential for direct energy conversion at efficiencies above 60%. Simpler waste management.

Challenges: Helium-3 is vanishingly rare on Earth (total terrestrial supply is measured in tens of kilograms, mostly from tritium decay in nuclear weapons stockpiles). Potential extraterrestrial sources include the lunar regolith, which contains helium-3 implanted by the solar wind, but lunar mining at industrial scale remains speculative. The required plasma temperature is roughly 5 times higher than for D-T. In practice, side D-D reactions in a D-³He plasma will produce some neutrons (roughly 5–10% of total power), so the system is "low-neutron" rather than truly aneutronic.[1]

Proton-Boron-11 (p-¹¹B)

Proton-boron fusion is the most frequently discussed "aneutronic" reaction:

p + ¹¹B → 3 ⁴He
Total energy: 8.7 MeV per reaction
Required temperature: >200 keV (~2.3 billion °C)
Peak cross-section: ~1.2 barns at ~600 keV (resonance peak at 148 keV: ~0.1 barns)

The reaction produces three alpha particles and no neutrons in the primary channel. Both fuel species (hydrogen and boron-11, which constitutes 80% of natural boron) are abundant, stable, and non-radioactive.[2]

Advantages: Truly aneutronic primary reaction (though secondary reactions produce a small neutron flux). Both fuels are abundant and cheap. No tritium handling. Minimal radioactive waste. Products are all charged particles, enabling direct energy conversion.

Challenges: The required plasma temperature is roughly 15–20 times higher than D-T. At these extreme temperatures, radiation losses (primarily bremsstrahlung — X-rays emitted when electrons are decelerated by ions) become enormous because boron has atomic number Z = 5, and bremsstrahlung scales as Z². Some analyses suggest that bremsstrahlung losses may exceed fusion power output in a thermal p-¹¹B plasma, making net energy gain impossible without non-thermal or advanced confinement approaches. The energy yield per reaction (8.7 MeV) is half that of D-T (17.6 MeV), compounding the challenge. No p-¹¹B device has come close to demonstrating net energy.[3]

Cross-Section Comparison and Implications

The fusion cross-section — measured in barns (1 barn = 10⁻²⁸ m²) — determines how likely a reaction is at a given energy. The hierarchy is clear:

D-T has the highest cross-section, peaking at approximately 5 barns near 64 keV. D-D peaks at roughly 0.1 barns near 1,000 keV. D-³He peaks at about 0.7 barns near 250 keV. p-¹¹B has a narrow resonance peak of about 0.1 barns at 148 keV and a broader peak of about 1.2 barns near 600 keV.

These differences are not incremental — they span orders of magnitude and fundamentally determine the plasma conditions required for energy production. The Lawson criterion, which defines the minimum product of plasma density, temperature, and confinement time needed for net energy, is easiest to satisfy for D-T by a wide margin. This is why every near-term fusion reactor design, without exception, uses or plans to use D-T fuel.[1]

The Role of Advanced Fuels

Despite the enormous difficulty of advanced fuel cycles, they remain an active area of research because the long-term payoff is substantial. An aneutronic or low-neutron reactor would have longer-lived components, simpler waste management, higher potential efficiency through direct energy conversion, and reduced shielding requirements. Companies like TAE Technologies are pursuing D-³He as a long-term goal, while others like HB11 Energy in Australia are exploring laser-driven p-¹¹B approaches.

The practical sequence: The fusion community broadly agrees on a staged approach: master D-T first (the reaction nature made easiest), then use the resulting technology base and understanding to pursue progressively harder but cleaner fuel cycles. D-T is the stepping stone, not the destination.

Sources

  1. J. D. Lawson, "Some Criteria for a Power Producing Thermonuclear Reactor," Proceedings of the Physical Society B, vol. 70, no. 1, pp. 6–10, 1957
  2. H.-S. Bosch and G. M. Hale, "Improved formulas for fusion cross-sections and thermal reactivities," Nuclear Fusion, vol. 32, no. 4, pp. 611–631, 1992
  3. J. P. Freidberg, "Plasma Physics and Fusion Energy," Cambridge University Press, 2007

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