Bateman secular equilibrium: N₂/N₁ = λ₁/λ₂, A₁ = A₂, dN₂/dt = 0 at t ≫ 1/λ₂ with λ₁ ≪ λ₂

Layer 2 — Chemistryin the radiation-chemistry subtree

At secular equilibrium: dN₂/dt = λ₁N₁ − λ₂N₂ = 0, giving N₂/N₁ = λ₁/λ₂ and A₁/A₂ = 1. Canonical pins: ratio lambda_1/lambda_2, activity ratio 1, dN₂/dt = 0.

Related concepts

Bateman decay-chain framework: N₁ → N₂ → stable with N₂(t) = (λ₁/(λ₂−λ₁))·N₁(0)·(e^(−λ₁t) − e^(−λ₂t))
Radioactive decay law

Explore Bateman secular equilibrium: N₂/N₁ = λ₁/λ₂, A₁ = A₂, dN₂/dt = 0 at t ≫ 1/λ₂ with λ₁ ≪ λ₂ on the interactive knowledge graph →