Half-Life Calculator — N = N₀(½)^(t/h)

Each half-life halves the remaining nuclei. After n half-lives, (½)ⁿ remains — 10 half-lives leave less than a thousandth.

Half-Life Calculator — N = N₀(½)^(t/h)

N=N0(12)t/hN = N_0\left(\frac{1}{2}\right)^{t/h}

How to interpret the result

Carbon-14 (half-life 5,730 years) with 1/8 remaining is 17,190 years old — three half-lives. This is the basis of radiocarbon dating.

Assumptions

  • Single isotope decaying (no parent replenishment)
  • Remaining and initial use the same unit