Radioactive Decay
Every half-life, half of what remains decays. Set the half-life and watch the exponential curve — and count how much is left after each interval.
Radioactive DecayLive
exponential decay · half-life
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Every half-life, half the remaining atoms decay. After n half-lives, only (1/2)ⁿ is left — the basis of carbon dating and nuclear physics.
Presets
Data Inspector
Half-life4.0
Time0.0
Remaining100.0%
Half-lives0.00
Governing equation
Reading this result: Each half-life removes half of whatever remains, so the curve falls steeply at first and then flattens into a long tail.
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How it works
Radioactive decay is a first-order process: the number of remaining nuclei falls by half each half-life, giving N = N0 (1/2)^(t/T). This is the clock behind carbon-14 dating, medical isotopes, and nuclear energy.
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Frequently asked questions
Is this radioactive decay half-life tool really free?▾
Yes. Radioactive Decay 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.
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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.