Decay Mode
A
Parent
λ₁
B
Daughter
λ₂
C
Granddaughter
Parent (A)
Name
N₀
T½ (yrs)
Daughter (B)
Name
N₀ = 0
T½ (yrs)
Granddaughter (C) — Stable
Name
N₀ = 0
Time Range (half-lives) 10
Key Equations
Single Decay
N(t) = N₀ · e−λt
λ = ln2 / T½ = 0.693 / T½
Bateman Equation (Chain)
N_B(t) = N₀λ₁/(λ₂−λ₁) · (e−λ₁t − e−λ₂t)
N_C(t) = N₀ − N_A(t) − N_B(t)
Decay Curve
λ (decay const.)
T½ (half-life)
τ (mean life)
N at t = 2T½