Halbwertszeit-Rechner — Formel

Half-Life Formula

Formula

N(t) = N₀ × (1/2)^(t/t½)

Where:

  • N₀ = initial quantity
  • t = elapsed time
  • t½ = half-life

    • Properties

  • After 1 half-life: 50% remains
  • After 2 half-lives: 25% remains
  • After 3 half-lives: 12.5% remains
  • After 10 half-lives: ~0.1% remains

    • Lösungsbeispiel

    100 units with a half-life of 5 after 15 time units.

    1. Number of half-lives = 15/5 = 3
    2. Remaining = 100 × (0.5)³
    3. = 100 × 0.125
    4. = 12.5