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Related Concept Videos

Ultraviolet and Visible (UV–Vis) Spectroscopy: Overview01:02

Ultraviolet and Visible (UV–Vis) Spectroscopy: Overview

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Ultraviolet–visible (UV–visible or UV–Vis) spectroscopy is an analytical technique that investigates the interaction between matter and UV–Vis light within the electromagnetic spectrum. This method is widely used for its versatility, simplicity, and relatively quick data acquisition, making it valuable for both qualitative and quantitative analysis. When UV–Vis radiation passes through a material,  molecules absorb light depending on the energy required for...
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UV–Vis Spectrometers01:14

UV–Vis Spectrometers

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The absorbance of UV and visible (UV–visible) radiations is measured using a UV–visible spectrophotometer. Deuterium lamps, which emit UV radiation, and tungsten lamps, which produce radiation in the visible region, are used as light sources in UV–visible spectrophotometers. A monochromator or prism is used for diffraction grating, i.e., to split the incoming radiation into different wavelengths. A system of slits is used to focus the desired wavelength on the sample cell.
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UV–Vis Spectroscopy of Conjugated Systems01:32

UV–Vis Spectroscopy of Conjugated Systems

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Organic compounds with conjugated double bonds show strong absorption features in the UV–visible region of the electromagnetic spectrum attributed to π → π* electronic excitations. Generally, a UV–vis absorption spectrum is recorded as a plot of absorbance vs wavelength. The wavelength of maximum absorbance, which manifests as a peak in the absorption spectrum, is denoted as λmax.
One of the factors influencing λmax is the extent of conjugation in...
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UV–Vis Spectroscopy: Beer–Lambert Law01:09

UV–Vis Spectroscopy: Beer–Lambert Law

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The Beer-Lambert law describes the relationship between absorbance and concentration, which combines the principles established by scientists Johann Heinrich Lambert and August Beer. Lambert's law states that when light passes through a medium, the loss in intensity is directly proportional to the original intensity and the path length of the light. Beer's law proposed that the transmittance of a solution remains constant if the product of concentration and path length is constant. The modern...
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UV–Vis Spectrum01:30

UV–Vis Spectrum

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When light passes through a substance, a portion of the light is absorbed while the remaining light is reflected or transmitted. If the molecule absorbs light between the wavelengths of 180–400 nm range, the UV spectrum is obtained, and if it absorbs light in the 400–780 nm wavelength range, the visible spectrum is obtained.     
The UV–Vis spectrum of a molecule is the plot of its absorbance versus wavelength. The plot is drawn by taking molar...
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UV–Vis Spectroscopy: Molecular Electronic Transitions01:16

UV–Vis Spectroscopy: Molecular Electronic Transitions

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In Ultraviolet–Visible (UV–Vis) spectroscopy, the absorption of electromagnetic radiation is used to probe the electronic structure of molecules. This technique provides insights into molecular electronic transitions, particularly the movement of electrons between different molecular orbitals. Radiation is absorbed if the energy of the electromagnetic radiation passing through the molecule is precisely equal to the energy difference between the excited and ground states. During this...
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UV-Vis Spectroscopic Characterization of Nanomaterials in Aqueous Media
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Beyond Beer-Lambert Linear Regression: Multi-Layer Modeling for Wide-Range Concentration Quantification Using

Muhammed ALjifri1, Carter Miller2, Yanjun Qian3

  • 1Department of Mathematics, College of Science & Arts King Abdulaziz University Rabigh Saudi Arabia.

Analytical Science Advances
|April 8, 2026
PubMed
Summary
This summary is machine-generated.

Accurate chemical quantification using Ultraviolet-Visible (UV-Vis) spectroscopy is improved with a new multi-layer modeling framework. This approach enhances prediction accuracy across wide concentration ranges, overcoming Beer-Lambert law limitations.

Keywords:
chemometricsglobal nonlinearitylocal modelmetal ion detectionpartial least squares

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Area of Science:

  • Analytical Chemistry
  • Spectroscopy

Background:

  • Ultraviolet-visible (UV-Vis) spectroscopy is a cost-effective method for chemical quantification.
  • The Beer-Lambert law's global linearity assumption limits accuracy in wide concentration ranges.
  • Accurate prediction in wide concentration ranges remains a challenge in spectroscopic analysis.

Purpose of the Study:

  • To develop a multi-layer modeling framework for improved UV-Vis spectroscopic concentration prediction.
  • To address the limitations of global linearity assumptions in the Beer-Lambert law.
  • To enhance the accuracy of chemical quantification across wide concentration ranges.

Main Methods:

  • Proposed a multi-layer modeling framework utilizing local linearity.
  • Integrated dynamical-layer regression and classified-layer regression with Principal Component Regression (PCR) and Partial Least Squares (PLS).
  • Evaluated the framework using UV-Vis spectra of nickel sulfate and cobalt sulfate solutions (10-6 to 0.9 mol L-1) and mixed solutions.

Main Results:

  • The multi-layer framework consistently outperformed conventional single-layer linear and global nonlinear models.
  • Achieved up to a 50% reduction in root mean squared error (RMSE).
  • Obtained R2 values exceeding 0.99 for single-solute datasets, demonstrating high prediction accuracy.

Conclusions:

  • The proposed multi-layer modeling framework offers a robust solution for wide-range concentration prediction in UV-Vis spectroscopy.
  • Exploiting local linearity effectively overcomes the limitations of global models.
  • The framework significantly enhances the reliability and accuracy of spectroscopic chemical quantification.