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Radioactive Decay
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Parameters
Initial Amount N0
Half-life (years)
Key Concepts
•
N(t) = N0 · e^(−λt) = N0 · (1/2)^(t/tʽ)
•
Decay constant
λ = ln2 / tʽ — probability of decay per unit time
•
Activity
A = λN — counts/second emitted by the sample
• After each half-life, exactly half the remaining nuclei have decayed
• Half-life is constant regardless of initial amount — a key feature of exponential decay
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