Free interactive tool

Isotope Half-Life Decay Calculator

Pick a radioactive isotope, enter how much you start with and how much time passes, and see how much is left — plus how long it takes to fall to a tenth, a hundredth or a thousandth, and a one-line note on what each isotope is and why it matters. Everything runs here on the page — no sign-up, nothing stored.

Decay by half-life

Radioactivity falls by half every half-life: after one half-life half is left, after two a quarter, after ten about a thousandth. The amount remaining is A = A₀ × ½(t ÷ half-life) — a clean exponential curve for any single isotope.

Showing a worked example — 1 GBq of iodine-131 after 8 days
Iodine-131I-131 emits β, γ   ·   half-life 8.02 days

Volatile fission product that concentrates in the thyroid — the isotope potassium-iodide (KI) tablets are meant to block; the dominant radioiodine hazard in the first weeks after a release.

Remaining 50.09% ≈ 0.5009 GBq left 0.9975 half-lives elapsed

Activity remaining

In GBq (as entered)0.5009 GBq
In becquerel5.009 × 108 Bq
In curie0.01354 Ci
Fraction remaining50.09%
Half-lives elapsed0.9975

Time to decay to…

50% left (one half-life)8.02 days
10% left26.6 days
1% left53.3 days
0.1% left — about 10 half-lives, effectively gone79.9 days

Decay is exponential, so the activity approaches zero but never mathematically reaches it — ten half-lives (to ~0.1%) is the usual practical "all gone" mark.

Decay timeline

Half-livesTime elapsedRemainingActivity
8.02 days50%0.5 GBq
16 days25%0.25 GBq
24.1 days12.5%0.125 GBq
32.1 days6.25%0.0625 GBq
40.1 days3.125%0.03125 GBq
56.1 days0.7813%0.007813 GBq
10×80.2 days0.09766%0.0009766 GBq

Other figures

Mean lifetime of one atom (τ = half-life ÷ ln2)11.6 days
Decay constant (λ = ln2 ÷ half-life)1 × 10-6 /s
Total decays still to come (from now to ∞)5.007 × 1014

Like the dose accumulated in a decaying fallout field, the total number of decays still to come is finite — it converges to the current activity × the mean lifetime, even integrated over all future time.

Reading the result: activity is not dose

Activity (becquerels) counts decays per second — not the dose you receive. Whether those decays harm you depends on the type and energy of the radiation, distance, shielding, and above all whether the material is outside or inside your body. A pure alpha emitter like plutonium-239 or polonium-210 is almost harmless across the room but extremely dangerous if inhaled or swallowed; a strong gamma emitter like cobalt-60 or caesium-137 is a serious external hazard.

To work in sieverts once you know a dose rate, use the radiation dose calculator.

Single isotope vs a fallout field

This calculator models one nuclide decaying by its own fixed half-life — clean exponential decay. Fresh nuclear fallout behaves very differently: it is a mixture of hundreds of fission products with half-lives from seconds to decades, and their combined dose rate falls along the empirical t−1.2 "7-10 rule" (every sevenfold increase in time ≈ a tenfold drop), not a single exponential.

So use this page when you know the specific isotope — a medical or industrial source, a single contaminant, a research sample. For the mixed field after a detonation, use the fallout-decay and acute-exposure sections of the radiation dose calculator, which already build in the 7-10 rule and its key consequence: because the rate collapses, the dose you can accumulate converges to a finite total.

Isotope reference

Half-life, what it emits, and why each one matters. Half-lives are standard reference values shown at the precision usually quoted.

Fallout & reactor

Iodine-131I-131 8.02 days
emits β, γ

Volatile fission product that concentrates in the thyroid — the isotope potassium-iodide (KI) tablets are meant to block; the dominant radioiodine hazard in the first weeks after a release.

Iodine-133I-133 20.8 hours
emits β, γ

Short-lived radioiodine that adds to early thyroid dose right after a release but is largely gone within days.

Caesium-137Cs-137 30.17 years
emits β, γ

Long-lived fission product and the main driver of lasting land contamination after Chernobyl and Fukushima; spreads through the body like potassium, with gamma from its Ba-137m daughter.

Caesium-134Cs-134 2.06 years
emits β, γ

Reactor-produced caesium; its ratio to longer-lived Cs-137 helps date and fingerprint a release.

Strontium-90Sr-90 28.8 years
emits β

Pure beta emitter that mimics calcium and lodges in bone and teeth, irradiating marrow for years — a key internal hazard in fallout and reactor waste.

Xenon-133Xe-133 5.24 days
emits β, γ

Inert noble-gas fission product; an early marker of reactor fuel damage that disperses as a cloud rather than contaminating surfaces.

Weapons & actinides

Plutonium-239Pu-239 24,110 years
emits α

Weapons-grade fissile material and an alpha emitter — barely a hazard across the room, but extremely dangerous if inhaled as fine particles.

Plutonium-238Pu-238 87.7 years
emits α

Intense alpha emitter used to power spacecraft RTGs; its steady heat output, not its penetrating radiation, is the point.

Uranium-235U-235 703.8 million years
emits α

The fissile uranium isotope enriched for reactors and weapons; only weakly radioactive thanks to its immense half-life.

Uranium-238U-238 4.468 billion years
emits α

The common uranium isotope, only weakly radioactive; fertile material that breeds plutonium and heads a long natural decay chain.

Americium-241Am-241 432.6 years
emits α, γ

Alpha (plus low-energy gamma) source found in household smoke detectors; a contamination concern only if dispersed.

Natural & legacy

Potassium-40K-40 1.25 billion years
emits β, γ

Naturally radioactive potassium in soil, food and your own body — a baseline source of background dose (the "banana" isotope).

Radon-222Rn-222 3.82 days
emits α

Radioactive gas from the uranium chain that seeps from rock into buildings; the largest natural radiation dose for most people and a leading cause of lung cancer.

Carbon-14C-14 5,730 years
emits β

Cosmic-ray-produced carbon in all living things; the basis of radiocarbon dating and a minor natural internal dose.

Radium-226Ra-226 1,600 years
emits α, γ

Alpha emitter once painted onto luminous dials; decays to radon gas and remains a legacy contamination hazard.

Medical & industrial

Cobalt-60Co-60 5.27 years
emits β, γ

Intense dual-gamma source used in radiotherapy, sterilisation and radiography; a prime "dirty bomb" and lost-source concern because the gammas are a serious external hazard.

Technetium-99mTc-99m 6.01 hours
emits γ

The workhorse of medical imaging — a short-lived gamma emitter used in tens of millions of scans a year and gone within a day or two.

Iridium-192Ir-192 73.8 days
emits β, γ

Compact, intense gamma source used for industrial radiography; frequently involved in lost-source radiation accidents.

Polonium-210Po-210 138.4 days
emits α

Extremely toxic alpha emitter (the Litvinenko poison); also present in tobacco smoke, and dangerous only if taken internally.

TritiumH-3 12.32 years
emits β

Low-energy beta emitter used in self-powered exit signs and gun sights and as fusion fuel; a hazard mainly as tritiated water if ingested in quantity.

Half-life ready-reckoner

1 half-life → 50% left  ·  2 → 25%  ·  3 → 12.5%  ·  4 → 6.25%
5 → 3.13%  ·  7 → 0.78%  ·  10 → 0.098% (≈ gone)  ·  20 → 0.0001%