Na
Alkali metal

Sodium

Z 11A 23mass 22.99

Decay curve

Sodium-24

half-life
14.96 hours
half-lives elapsed1 half-life
0123456
left
50.0%
real time
15 hours

Sample of 240 nuclei

109 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
115 hours50.0%500
21.25 days25.0%250
31.87 days12.5%125
42.49 days6.25%63
53.12 days3.13%31
63.74 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