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.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
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.
- The kinetics of the chain is governed by Bateman equations
- 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.
- 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.
Verification¶
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Registry ID ref:1375c71aa139 · see in the full table