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Mendeleev · science lesson

Half-life: a statistical property

Half-life describes the evolution of a radioactive population. It does not predict the exact decay time of an individual nucleus.

Start with the idea

Half-life describes the evolution of a radioactive population. It does not predict the exact decay time of an individual nucleus.

100%→50%→25%→12.5%

A concrete example

After three half-lives, the expected remaining fraction is (1/2)³ = 1/8.

Practical method

Go one step deeper

After 1, 2, 3 and 4 half-lives, expected fractions are 1/2, 1/4, 1/8 and 1/16: the evolution is exponential, not linear.

Common trap

A trend or model is not an exceptionless law. Always check the quantity’s definition and the conditions being compared.

Check your understanding

Can you explain the phenomenon in your own words before looking at an equation?

Go deeper in Science →

The key idea

Half-life is the time required for the expected number of undecayed nuclei, or equivalently the activity of a large sample, to fall to one half of its initial value.

Why it matters

Successive half-lives produce halves, quarters, eighths and so on; the process is exponential rather than linear.