Nuclear Decay Simulator
Monte Carlo simulation of radioactive decay. Each atom independently has a probability of decaying in each time step.
Isotope
14C
Half-life
5,730 years
Time
0.00 t½
Parent
500 (100.0%)
Daughter
0 → ¹⁴N
Parent atoms (simulated) Daughter atoms Theoretical N₀·(½)^t
Each atom decays independently with probability p = 1 − (½)^Δt per time step. The simulation uses random numbers (Monte Carlo method), so each run gives slightly different results — but they all follow the theoretical exponential decay curve on average. Notice how smaller samples show more "noise" (statistical fluctuation) while larger samples closely track the smooth curve.
Decay mode: β⁻ · 14C → ¹⁴N