Question

What is half-life and how does carbon dating work?

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Half-life is the time taken for half the atoms in a sample of a radioactive isotope to decay. It is a fixed property of each isotope, unaffected by temperature, pressure or chemical state.

Why it is a half rather than a fixed amount. Radioactive decay is random for any individual atom — there is no way to predict when a particular nucleus will decay. But with vast numbers of atoms, the statistics are extremely reliable: a constant proportion decays per unit time. This produces exponential decay, so after one half-life 50% remains, after two 25%, after three 12.5%, and so on.

Carbon dating applies this to organic material.

Carbon-14 is continuously created in the upper atmosphere when cosmic rays convert nitrogen into carbon-14. It mixes into atmospheric CO₂ and enters the food chain through photosynthesis. While an organism is alive, it exchanges carbon with the environment, so its carbon-14 proportion matches the atmosphere.

At death, exchange stops. No new carbon-14 enters, and the existing carbon-14 decays with a half-life of about 5,730 years. Measuring the remaining proportion gives the time since death.

Its limits, which matter:

The range is roughly 50,000 years. After about nine half-lives so little remains that measurement becomes unreliable. Carbon dating cannot date dinosaurs, and it cannot date rocks.

Only organic material works — bone, wood, charcoal, textiles, shell.

Calibration is required. Atmospheric carbon-14 has varied over time, so raw results are corrected against calibration curves built from tree rings, corals and ice cores. Fossil fuel burning has also diluted atmospheric carbon-14 while nuclear testing spiked it.

Other isotopes cover longer timescales — uranium-lead and potassium-argon dating handle rocks and are how the Earth's age is established.

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