Rn
Noble gas

Radon

Z 86A 222mass 222

Decay curve

Radon-222

half-life
3.82 days
half-lives elapsed1 half-life
0123456
left
50.0%
real time
3.82 days

Sample of 240 nuclei

106 left

Each dot is one nucleus. Decay is random for each one — but the pattern that emerges is the exponential curve on the left.

The numbers

Half-livesTime elapsedRemainingOf 1000
0—100.0%1000
13.82 days50.0%500
27.65 days25.0%250
311.5 days12.5%125
415.3 days6.25%63
519.1 days3.13%31
622.9 days1.56%16

N = N₀ × (½)ⁿ — never exactly zero

Real half-lives, for scale

Thorium-23214.05 billion years
Uranium-2384.47 billion years
Potassium-401.25 billion years
Neptunium-2372.14 million years
Plutonium-23924,110 years
Carbon-145,730 years