Residual Concentration of a Daughter Substance Removed by a Bimolecular Reaction

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Abstract
Consider an initial concentration N0 of a parent substance transforming monomolecularly into a daughter substance. The differential equation giving the concentration n of the latter subject to the condition that the daughter substance is removed by a bimolecular reaction is reduced to the form y′ = e—x—y2. The solution is given in graphical and tabular form, and several approximations analyzed. The measurement of decay constants in terms of reaction constants and vice versa is discussed. Possible applications to studies of chemical kinetics, lattice defects, order‐disorder transformations in solids, electronic processes in semiconductors and phosphors, recombination of ions in liquids and gases, and tracer studies in vitro and in vivo are mentioned.

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