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Carbon dating

Intermediate

Age estimated from C-14 decay.

Key relationdecay

Living things take in carbon-14 (T½ 5730 years) at a steady ratio; after death it decays. Measuring the remaining fraction gives age: t = (T½/ln 2)ln(N₀/N).

Worked example

25% remaining: 11,460 years.

Common mistake

Valid up to about 50,000 years.

In more detail

Radiocarbon dating uses the decay of carbon-14 in once-living material to estimate its age. Living organisms maintain a constant ratio of carbon-14 to carbon-12, which stops after death.

Real-world uses

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Frequently asked questions

How old can samples be?

Typically up to about 50,000 years, after which too little carbon-14 remains.

Why does the ratio change after death?

Because the organism no longer takes up new carbon, so carbon-14 decays away.

Why does carbon dating stop working after tens of thousands of years?

Too little carbon-14 remains to measure accurately, after about ten half-lives.

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Mean life · Activity · Radioactive series · Nuclear reactions · Q-value · Nuclear fission

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