// multi-utility computation suite · offline · instant · precise
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sci.radioactive-decay-chain Calculator
Calculates the activity of each nuclide in a radioactive decay chain using the Bateman equations for secular and transient equilibrium. The ²³⁸U decay chain (14 steps to ²⁰⁶Pb) reaches secular equilibrium in rocks older than ~1 Myr — all daughter activities equal the parent activity at equilibrium.
Inputs
Initial Activity Bq
Reference formula or conversion factor shown for context.
Parent Half Life Days
Reference formula or conversion factor shown for context.
Daughter Half Life Days
Reference formula or conversion factor shown for context.
Time Days
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Results
parent activity at t (Bq)
Rate of radioactive decay events per second (becquerels or curies). Decreases exponentially with time.
daughter atoms N₂
The value at the specified point or condition.
secular equilibrium?
Reference formula or conversion factor shown for context.
Bateman equation
The value at the specified point or condition.
parent half-life t₁
Time for half the radioactive material to decay. After 10 half-lives, less than 0.1% of the original material remains.
daughter half-life t₂
Time for half the radioactive material to decay. After 10 half-lives, less than 0.1% of the original material remains.