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A mathematical analysis of deviations from linearity of Beer's law

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Abstract In this paper, we propose new approach to accurate calculation of the molar attenuation coefficient e and the threshold concentration C ∇ , exceeding of which it results in… Click to show full abstract

Abstract In this paper, we propose new approach to accurate calculation of the molar attenuation coefficient e and the threshold concentration C ∇ , exceeding of which it results in a deviation from Beer's law. The method is based on the asymptotic approximation of the equality of integrals associated with the true values of C ∇ and e as well as their approximate values C i and e i within max. rapprochement: Δ C = min C i - C ∇ and Δ e = min e - e i when C i → C ∇ and e i → e . After reaching the acceptable accuracy, the infinite iterative cycle is interrupted that allows to significantly saving the computing resources.

Keywords: beer law; analysis deviations; deviations linearity; beer; mathematical analysis

Journal Title: Chemical Physics Letters
Year Published: 2018

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