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sci.radioactive-decay-series-bateman Calculator
Calculates activity in a radioactive decay chain using Bateman equations, giving time evolution of each nuclide from parent through daughters. ²³⁸U → ²³⁴Th → ²³⁴Pa → ²³⁴U → ... → ²⁰⁶Pb: secular equilibrium in rocks > 1 Myr sets all daughter activities equal to parent.
Inputs
N1 0
Reference formula or conversion factor shown for context.
Lambda1 Per S
Reference formula or conversion factor shown for context.
Lambda2 Per S
Reference formula or conversion factor shown for context.
T S
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Results
parent atoms N₁(t)
The value at the specified point or condition.
daughter atoms N₂(t)
The value at the specified point or condition.
parent activity A₁ (decays/s)
Rate of radioactive decay events per second (becquerels or curies). Decreases exponentially with time.
daughter activity A₂ (decays/s)
Rate of radioactive decay events per second (becquerels or curies). Decreases exponentially with time.