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  1. Home
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  3. /Nuclear & Particle Physics Calculators
  4. /Fusion Energy Calculator

Fusion Energy Calculator

Calculator

Results

Enter values to see results

Q-value per Reaction

—

MeV

Fusion Pairs (reactant atoms)

—

Total Energy (J)

—

J

Total Energy (kWh)

—

kWh

TNT Equivalent (kt)

—

kt

Results

Enter values to see results

Q-value per Reaction

—

MeV

Fusion Pairs (reactant atoms)

—

Total Energy (J)

—

J

Total Energy (kWh)

—

kWh

TNT Equivalent (kt)

—

kt

Nuclear fusion is the process that powers the Sun and all stars — light atomic nuclei combining to form heavier nuclei, releasing enormous amounts of energy in the process. Unlike fission, fusion produces no long-lived radioactive waste and its primary fuel (deuterium) is virtually limitless, making it the most promising long-term energy source for humanity.

The most important fusion reaction for terrestrial energy production is deuterium-tritium (D-T) fusion: D + T → He-4 + n + 17.59 MeV. This reaction has the highest cross-section at achievable temperatures (around 100 million Kelvin) and is the primary focus of ITER, the international fusion experiment under construction in France.

Comparing energy density: D-T fusion of 1 kg of fuel mixture releases approximately 3.4 × 10¹⁴ joules — about four times more than U-235 fission and about 85 million times more than burning coal. The deuterium in just 1 liter of seawater contains enough fuel to produce the energy equivalent of 300 liters of gasoline through fusion.

The D-D fusion reactions have two branches: one producing a proton and tritium (Q = 4.03 MeV), and another producing a neutron and He-3 (Q = 3.27 MeV). These reactions are harder to ignite but use only deuterium, which can be extracted from seawater at a cost of less than $0.01 per liter.

The D-He3 reaction (Q = 18.35 MeV) produces no neutrons and is therefore the cleanest fusion reaction. However, He-3 is extremely rare on Earth — most proposals involve mining it from the lunar regolith, where it has been implanted by the solar wind over billions of years.

The proton-proton (p-p) chain that powers the Sun proceeds in multiple steps and is far too slow at terrestrial densities to be practical for power generation. The Sun's core temperature is about 15 million Kelvin, but the effective collision rate is enhanced by quantum tunneling.

How It Works

Select the desired fusion reaction and enter the total mass of fuel mixture in kilograms. For D-T, the calculator assumes an equimolar mixture of deuterium and tritium. The total energy output is calculated by multiplying the number of fusion events by the Q-value per reaction.

Understanding Your Results

Results show the theoretical maximum energy from complete fusion of all fuel atoms. In practice, achieving ignition and maintaining confinement long enough for significant burnup remains an unsolved engineering challenge. The National Ignition Facility (NIF) achieved fusion ignition in 2022, producing more energy from fusion than the laser energy delivered to the target.

Worked Examples

1 kg D-T Fuel (50/50 mix by moles)

Inputs

reactiondt
mass kg1

Results

q mev17.59
pairs1.205e+23
energy joules339400000000000
energy kwh94280000
tnt kt81.1

1 kg of D-T produces 81 kt TNT equivalent — roughly the yield of a thermonuclear warhead's fusion stage.

The D-He3 Clean Fusion Reaction

Inputs

reactiondHe3
mass kg1

Results

q mev18.35
pairs1.205e+23
energy joules354000000000000
energy kwh98300000
tnt kt84.6

D-He3 produces no high-energy neutrons and slightly more energy per unit mass than D-T, but He-3 is extremely scarce on Earth.

Frequently Asked Questions

D-T fusion ignites at the lowest temperature (~100 million K), has the highest reaction cross-section at achievable temperatures, and releases 17.59 MeV per reaction. The neutron produced carries 14.1 MeV and can breed new tritium from lithium blankets surrounding the reactor, making the fuel cycle sustainable.

D-T fusion requires plasma temperatures of 100-150 million Kelvin (about 10 times hotter than the Sun's core) because fusion reactors cannot rely on the gravitational pressure that confines solar plasma. At these temperatures, quantum tunneling through the Coulomb barrier enables fusion at a practical rate.

Tritium is produced by neutron bombardment of lithium: n + Li-6 → He-4 + T + 4.78 MeV. Fusion reactors will be surrounded by a lithium blanket where this breeding reaction occurs. Natural lithium contains 7.5% Li-6, and enriched Li-6 targets can achieve breeding ratios above 1.0, ensuring tritium self-sufficiency.

Ignition occurs when the alpha particles (He-4) produced in D-T fusion deposit enough energy into the plasma to maintain its temperature against all losses, without external heating. This is quantified by the Lawson criterion: the plasma must achieve sufficient density-temperature-confinement time product (nTτ).

On December 5, 2022, the National Ignition Facility achieved fusion ignition for the first time: 2.05 MJ of laser energy delivered to the target produced 3.15 MJ of fusion energy — an energy gain greater than 1. This milestone, while using a pulsed approach different from power plant designs, demonstrated that fusion ignition is physically achievable.

D-T fusion produces no plutonium or long-lived fission products. The primary radioactive waste is the tritium itself (half-life 12.3 years) and the activated structural materials from neutron bombardment. Most fusion waste would be safe within 100 years, compared to thousands of years for fission waste.

ITER (Latin for 'the way') is the world's largest fusion experiment, under construction in Cadarache, France, with contributions from 35 countries. It is designed to produce 500 MW of fusion power from 50 MW of heating — a Q factor of 10. It will not generate electricity but will demonstrate the scientific and technical feasibility of fusion power.

Muon-catalyzed fusion can occur at room temperature, where negatively charged muons replace electrons in hydrogen molecules, shrinking the nuclear separation enough for fusion. However, muons are expensive to produce and each can only catalyze about 300-400 fusions before decaying, making it currently energy-negative overall.

Magnetic confinement (MCF), used in tokamaks like ITER and JET, uses powerful magnetic fields to confine hot plasma in a torus shape. Inertial confinement (ICF), used at NIF, compresses a small fuel pellet with lasers until fusion ignites. Both approaches have demonstrated significant milestones and are pursuing different paths to practical fusion power.

Seawater contains approximately 33 mg of deuterium per liter (1 in 6,400 hydrogen atoms is deuterium). The world's oceans contain about 4.6 × 10¹⁶ kg of deuterium. If D-D fusion were achievable, this represents essentially an inexhaustible fuel supply — enough to power human civilization at current consumption rates for billions of years.

Sources & Methodology

Freidberg, J.P. (2007). Plasma Physics and Fusion Energy. Cambridge University Press. Hurricane, O.A. et al. (2024). Physics principles of inertial confinement fusion. Reviews of Modern Physics. ITER Organization. www.iter.org.
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