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Benesi–Hildebrand method : ウィキペディア英語版
Benesi–Hildebrand method

The Benesi–Hildebrand method is a mathematical approach used in physical chemistry for the determination of the equilibrium constant K and stoichiometry of non-bonding interactions. This method has been typically applied to reaction equilibria that form one-to-one complexes, such as charge-transfer complexes and host–guest molecular complexation.
:H + G \rightleftharpoons HG
The theoretical foundation of this method is the assumption that when either one of the reactants is present in excess amounts over the other reactant, the characteristic electronic absorption spectra of the other reactant will be transparent in the collective absorption/emission range of the reaction system. Therefore, by measuring the absorption spectra of the reaction before and after the formation of the product and its equilibrium, the association constant of the reaction can be determined.
==History==
This method was first developed by Benesi and Hildebrand in 1949,〔Benesi H, Hildebrand J (1949). "A Spectrophotometric Investigation of the Interaction of Iodine with Aromatic Hydrocarbons" ''J. Am. Chem. Soc.'' 71(8): 2703–07.〕 as a means to explain a phenomenon where iodine changes color in various aromatic solvents. This was attributed to the formation of an iodine-solvent complex through acid-base interactions, leading to the observed shifts in the absorption spectrum. Following this development, the Benesi-Hildebrand method has become one of the most common strategies for determining association constants based on absorbance spectra.

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