Half-life calculator

Exponential decay: N(t) = N₀ × (½)t / T½. Pick what you want to solve for and fill in the rest.

Remaining amount
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Number of half-lives
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% remaining
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Decay constant λ
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Mean lifetime τ
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Formulas

  • N(t) = N₀ × (½)t / T½
  • Decay constant: λ = ln(2) / T½
  • Mean lifetime: τ = 1 / λ = T½ / ln(2) ≈ 1.4427 · T½

Used for radioactive decay, drug elimination (pharmacokinetics), capacitor discharge, and any first-order process.