Half-Life Calculator
Enter any values; everything else updates automatically.
Inputs
λ is shown in per sec; T and τ use the same time unit as t.
sec
sec
per sec
sec
Step-by-step derivation
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References
- Remaining quantity: N(t) = N(0) · 0.5^(t/T)
- Exponential form: N(t) = N(0) · e^(−λ·t) = N(0) · e^(−t/τ)
- Relations: T = ln(2)/λ = τ·ln(2)
- Rearrangements: t = T·log₂(N(0)/N(t)), λ = ln(2)/T, τ = 1/λ