Physics · Glossary

What is Half-life?

Definition 19.14 High School Physics · Chapter 19 — The Nucleus and Radioactivity

The half-life T1/2T_{1/2} of a nuclide is the time after which half of any large sample has decayed. Each further half-life halves what remains: of N0N_0 nuclei, N0/2N_0/2 are left at T1/2T_{1/2}, N0/4N_0/4 at 2T1/22\,T_{1/2}, N0/8N_0/8 at 3T1/23\,T_{1/2}, N0/2nN_0/2^{\,n} after nn half-lives.

Examples

Example 19.17 (Carbon-14 dating)

Living matter exchanges carbon with the atmosphere, so it holds the atmospheric proportion of carbon-14; at death the intake stops and the proportion halves every 57005700 years. Charcoal from a painted cave shows one quarter of the living proportion: a quarter is half of a half, so the fire burned two half-lives, 2×5700=114002 \times 5700 = 11\,400 years, ago.

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