Calculateur de Demi-vie Radioactive — Formule

Half-Life Determination

The half-life can be computed from measured decay data.

Formula

t_half = -t * ln(2) / ln(N/N_0)

The decay constant is lambda = ln(2) / t_half. This connects the exponential decay rate to the half-life.

Exemple Résolu

A sample starts at 100 units and has 25 remaining after 11,460 years.

  1. t_half = -t * ln(2) / ln(N/N0)
  2. t_half = -11460 * 0.6931 / ln(25/100)
  3. t_half = -11460 * 0.6931 / (-1.3863)
  4. t_half = 7940 / 1.3863
  5. t_half = 5730 years (Carbon-14)