Topic Summaries

Half-lives

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  • Radioactive decay is a random process, meaning it is impossible to predict which nuclei in a radioactive sample will decay next or when.
    • Radioactive decay is unaffected by external physical conditions, such as temperature. Each nucleus has an equal chance of being the next to decay.
    • For a large number of radioactive nuclei, it can be calculated what proportion of nuclei will decay in a period of time.
  • The half-life, \(t_{1/2}\), of a radioactive isotope is the time it takes half the nuclei in a sample of that isotope to decay.
    • This will also be the time it takes the activity of the sample to halve.
    • Half-life will be the same for any sized sample and throughout its decay.
    • After n half-lives, the number of undecayed nuclei will be \(\frac{1}{2^n}\) of its initial value.
  • Half-life is a property determined by the isotope of a nucleus. The shorter the half-life, the faster an isotope will decay.

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