Radioactive Series Calculator

Calculate parent-daughter decay chain activities and equilibrium

About Radioactive Series

When radioactive decay produces another radioactive isotope, a decay chain or series forms. The relative activities depend on the half-lives and may reach different types of equilibrium.

Bateman Equations:

  • A₁(t) = A₀ e^(-λ₁t)
  • A₂(t) = A₀ × λ₂/(λ₂-λ₁) × [e^(-λ₁t) - e^(-λ₂t)]

Equilibrium Types:

  • Secular: T1 >> T2, A1 = A2
  • Transient: T1 > T2, A2 > A1
  • No equilibrium: T1 < T2