C
Reactive nonmetal

Carbon

Z 6A 12mass 12.011

Decay curve

Carbon-14

half-life
5,730 years
half-lives elapsed1 half-life
0123456
left
50.0%
real time
5,729 years

Sample of 240 nuclei

110 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
15,729 years50.0%500
211,458 years25.0%250
317,186 years12.5%125
422,915 years6.25%63
528,644 years3.13%31
634,373 years1.56%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