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Threshold concentration in the nonlinear absorbance law†
Alexander Yu. Tolbin,Victor E. Pushkarev
Physical Chemistry Chemical Physics Pub Date : 04/12/2017 00:00:00 , DOI:10.1039/C7CP01514C
Abstract

A new nonlinear relationship of the absorption coefficient with the concentration was proposed, allowing the calculation of the threshold concentration, which shows that there is a deviation from the Beer–Lambert law. The nonlinear model was successfully tested on a stable dimeric phthalocyanine ligand of J-type in solvents with different polarity. It was shown that deviation from the linearity is connected with a specific association of the macrocyclic molecules, which, in the case of non-polar solvents, leads to the formation of H-aggregates composed of J-type dimeric molecules. The aggregation number was estimated to be less than 1.5, which has allowed us to conduct a series of analytical experiments in a wide range of concentrations (1 × 10−6–5 × 10−4 mol L−1).

Graphical abstract: Threshold concentration in the nonlinear absorbance law
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