PPolySim OS

Nuclear Binding Energy

One curve explains both the Sun and the atomic bomb. Binding energy per nucleon peaks at iron — and everything releases energy moving toward that peak.

Nuclear Binding EnergyLive

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The binding energy per nucleon measures how tightly a nucleus is held together, peaking at iron-56. Light nuclei release energy by fusing toward that peak — the power source of stars; heavy nuclei release energy by splitting toward it — the basis of fission reactors and bombs. Iron is the ash where both paths end.

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Data Inspector

BE per nucleon8.72 MeV
Total BE488 MeV
Energy pathfission releases energy

Governing equation

Reading this result: Iron-56 sits at the very peak — the most tightly bound nucleus, where neither fusion nor fission can extract any more energy.

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How it works

The semi-empirical mass formula gives the binding energy per nucleon, which rises to a maximum at iron-56. Light nuclei release energy by fusing toward the peak, powering stars; heavy nuclei release energy by splitting toward it, powering fission reactors and weapons. Iron sits at the bottom of the energy valley where both processes stop.

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Frequently asked questions

Is this nuclear binding energy curve tool really free?▾
Yes. Nuclear Binding Energy runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.