Abstract
Obtaining a reliable formulation of the Beer–Lambert law in photochemistry requires knowledge on the role that the space–time dependence of the absorbance plays on the system. Spatial memory due to correlation between obstacles can be modeled, among other methods, by using a fractional calculus approach. Here we present a generalized Beer–Lambert law, based on Mittag-Leffler extinction of radiation, which is derived through probabilistic arguments, by assuming that the number of extinction events follows a fractional Poisson distribution. We applied such an approach in photochemistry by using a mathematical model that involves fractional derivative with respect to another function that accounts for the role of both space-dependence of the absorbance and spatial memory. We finally provide a discussion of the utility and implications of this new approach.
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Schedule a callMore From: Journal of Photochemistry and Photobiology A: Chemistry
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