Beer-Lambert law

Gives the absorbance of a solution as the base-10 logarithm of the ratio of incident to transmitted light intensity, which is proportional to the molar absorptivity, concentration, and path length. It is the standard relation used in UV-visible spectroscopy to determine concentration from absorbance measurements.

A=\log_{10}\left(\frac{I_0}{I}\right)=\varepsilon c L

What the symbols mean

absorbance (dimensionless)
intensity of incident light entering the sample
intensity of light transmitted through the sample
molar absorptivity (L mol$^{-1}$ cm$^{-1}$)
molar concentration of the absorbing species (mol L$^{-1}$)
optical path length through the sample (cm)

About this formula

  • FieldChemistry
  • TopicSpectroscopy
  • LevelUniversity
  • Also calledBeer-Lambert law absorbance, absorbance formula, Beer's law, Lambert-Beer law, UV-Vis absorbance equation, absorbance of a solution
  • SourceWikidata Q898426

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