Nuclear Fusion Energy Calculator

Calculate the energy released in a nuclear fusion reaction from the mass difference between reactants and products.

u
u

Energy Released

17.61 MeV

Mass Difference0.0189 u
Energy per Nucleon3.521 MeV/nucleon

Energy Released vs Total Mass of Reactants

Formule

## Nuclear Fusion Energy Fusion of light nuclei releases energy because the products have higher binding energy per nucleon. The energy comes from the mass difference, just like fission. ### Formula **E = delta_m × 931.494 MeV/u** The D-T fusion reaction (²H + ³H → ⁴He + n) releases 17.6 MeV. Per unit mass, fusion fuel releases about 4 times more energy than fission fuel, making it the ultimate energy source.

Exemple Résolu

D-T fusion: D(2.0141) + T(3.0164) → He-4(4.0026) + n(1.0087) + energy.

  1. 01Reactant mass = 2.0141 + 3.0164 = 5.0305 u
  2. 02Product mass = 4.0026 + 1.0087 = 5.0113 u
  3. 03delta_m = 5.0305 - 5.0116 = 0.0189 u
  4. 04E = 0.0189 × 931.494 = 17.6 MeV

Questions Fréquentes

Why is fusion so hard to achieve?

Both nuclei are positively charged and repel each other strongly. Overcoming this Coulomb barrier requires temperatures of 100 million °C or more. Containing this plasma is the central engineering challenge.

What is the most promising fusion reaction?

D-T (deuterium-tritium) has the lowest ignition temperature and highest cross section. D-D and D-He3 are harder but produce fewer neutrons. Proton-boron (p-B11) is aneutronic but requires much higher temperatures.

How much energy does 1 kg of D-T fuel produce?

About 3.4 × 10¹⁴ J (340 TJ), equivalent to about 80,000 tons of TNT. One gallon of seawater contains enough deuterium for the equivalent of 300 gallons of gasoline.

Apprendre

Understanding Molarity

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