Deviation from Beer's Law and Relationship of Aggregation with the Effective TPA Coefficient: UV-vis Studies on a Series of Low Symmetry Monophthalocyanines Bearing a Cyclotriphosphazene Substituent

In this work, we have carried out a comprehensive study of the aggregation properties of low-symmetry monophthalocyanines containing one fragment of penta(chloro)cyclotriphosphazene in the structure. A new Extinction model has been developed to calculate the concentration, after which the extinction drops sharply, or aggregation becomes noticeable visually. Also, a special descriptor was introduced to estimate the total spectral nonlinearity based on four spectral parameters related to the attenuation of the light with increasing concentration: linear (ε) and non-linear (ξ) extinction coefficients, and threshold concentrations for the beginning (C_∇) and completion (C_∅) of the development of aggregation processes. A special numerical method was developed to find correlations between the cumulative spectral nonlinearity of the medium and the effective two-photon absorption coefficient (TPA) for the series of dyes presented in this paper. The proposed methodology has allowed not only proven the influence of the complexing metal nature on the non-linear properties of the medium but also has demonstrated how to realize a scheme for choosing the most effective dyes for a given research goal.

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