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sci.delayed-neutron-reactor-period Calculator
Calculates reactor period T = l*/(ρ-β) from prompt neutron lifetime, reactivity, and delayed neutron fraction for prompt and delayed critical conditions. Prompt criticality (ρ > β ≈ 0.0065 for ²³⁵U) gives reactor period of milliseconds — nuclear safety design keeps ρ < β so the reactor responds on the delayed neutron timescale of seconds.
Inputs
Rho Pcm
Reference formula or conversion factor shown for context.
Beta Eff Pcm
Reference formula or conversion factor shown for context.
Lambda S
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Results
reactivity ρ ($)
Rate of radioactive decay events per second (becquerels or curies). Decreases exponentially with time.
prompt reactor period T_prompt (s)
Reference formula or conversion factor shown for context.
delayed supercritical period T (s, if ρ<β)
Reference formula or conversion factor shown for context.
ρ =
Reference formula or conversion factor shown for context.