K
Alkali metal

Potassium

Z 19A 39mass 39.098

Decay curve

Potassium-40

half-life
1.25 billion years
half-lives elapsed1 half-life
0123456
left
50.0%
real time
1.25 billion years

Sample of 240 nuclei

119 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
11.25 billion years50.0%500
22.5 billion years25.0%250
33.75 billion years12.5%125
44.99 billion years6.25%63
56.24 billion years3.13%31
67.49 billion 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