Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Beer's law derived from electromagnetic theory.

Thomas G Mayerhöfer1, Jürgen Popp1

  • 1Leibniz Institute of Photonic Technology (IPHT), Albert-Einstein-Str. 9, D-07745 Jena, Germany; Institute of Physical Chemistry and Abbe Center of Photonics, Friedrich Schiller University, Jena D-07743, Helmholtzweg 4, Germany.

Spectrochimica Acta. Part A, Molecular and Biomolecular Spectroscopy
|March 10, 2019
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Biochemical Analysis of Leukocytes after In Vitro and In Vivo Activation with Bacterial and Fungal Pathogens Using Raman Spectroscopy.

International journal of molecular sciences·2021
Same author

Isolation of pathogenic bacteria from sputum samples using a 3D-printed cartridge system.

Analytical methods : advancing methods and applications·2021
Same author

A Study in Red: The Overlooked Role of Azo-Moieties in Polymeric Carbon Nitride Photocatalysts with Strongly Extended Optical Absorption.

Chemistry (Weinheim an der Bergstrasse, Germany)·2021
Same author

Infrared Refraction Spectroscopy.

Applied spectroscopy·2021
Same author

A polyyne toxin produced by an antagonistic bacterium blinds and lyses a Chlamydomonad alga.

Proceedings of the National Academy of Sciences of the United States of America·2021
Same author

Looking for a perfect match: multimodal combinations of Raman spectroscopy for biomedical applications.

Journal of biomedical optics·2021

This study rigorously derives Beer's law from electromagnetic theory, linking wave optics to spectroscopy. Deviations from the empirical law are predicted only at very high concentrations and absorptions.

Area of Science:

  • Physical Chemistry
  • Spectroscopy
  • Electromagnetic Theory

Background:

  • Beer's law is a fundamental empirical relationship in spectroscopy.
  • Its theoretical underpinnings, particularly its connection to electromagnetic theory and wave optics, are not always explicit.
  • Understanding these connections is crucial for quantitative spectroscopy.

Purpose of the Study:

  • To provide a rigorous theoretical derivation of Beer's law from electromagnetic theory.
  • To establish a direct link between wave optics, Maxwell's equations, and quantitative spectroscopy (UV/VIS and infrared).
  • To identify conditions under which deviations from the empirical Beer's law may occur.

Main Methods:

  • Derivation of Beer's law starting from principles of electromagnetic theory.
Keywords:
AbsorbanceBeer's lawInfrared spectroscopyUV–vis spectroscopy

Related Experiment Videos

  • Relating the attenuation constant to the index of refraction.
  • Comparison with the Clausius-Mossotti equation derivation.

    • Main Results:

    • The attenuation constant in Beer's law is shown to be dependent on the index of refraction.
    • The empirical Beer's law is recovered for small concentrations and refractive indices close to unity.
    • Significant deviations from Beer's law and its linear concentration dependence are predicted for high concentrations and strong absorptions (attenuation constants > 10³ L/(mol·cm)).

    Conclusions:

    • The theoretical framework connects fundamental electromagnetic principles to practical spectroscopic laws.
    • The derivation provides a deeper understanding of the limitations of Beer's law.
    • The approach is suitable for integration into physical chemistry curricula.