The Solution of a System of Differential Equations Occurring in the Theory of Radioactive Transformations.

Bateman, H. (1910). The Solution of a System of Differential Equations Occurring in the Theory of Radioactive Transformations. Proceedings of the Cambridge Philosophical Society, 15, 423-427.

Type

Conference paper

Intellectual base

Primary research

Year

1910

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no authoritative link yet

Cited from

physics

Cited by

2 citations across 2 artifacts.

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Primes

• Half-Life
  • The kinetics of the chain is governed by Bateman equations

    This sourceDerives the general solution for radioactive decay chains: coupled differential equations governing parent, daughter, granddaughter, etc.; describes transient and secular equilibrium regimes; enables prediction of daughter and granddaughter activities as functions of parent half-life and initial conditions.

• Signal Decay and Fadeout
  • It separates an initial, strong state (high signal) from a final, weak state (negligible signal) and names the temporal or spatial progression between them, as Bateman (1910) formalized for serial decay chains by deriving closed-form expressions for time-dependent abundances under constant decay rates.

    This sourceDerives the general solution for radioactive decay chains: coupled differential equations governing parent, daughter, granddaughter, etc.; describes transient and secular equilibrium regimes; enables prediction of daughter and granddaughter activities as functions of parent half-life and initial conditions.

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