Definition: Beer-Lambert Law is the linear relationship between absorbance of electromagnetic radiation and the concentration of an absorber in the medium through which the radiation travels. The general Beer-Lambert Law would be:
![Rendered by QuickLaTeX.com A = epsilon_lambda cdot c cdot d](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-664e002838a21f039d7affeae9aaed15_l3.png)
where A is the measured absorbance (i.e.
![Rendered by QuickLaTeX.com -log_{10}frac{I}{I_0}](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-f55b95b77b7fefb2e50d7fba4204f713_l3.png)
, I is the intensity of the measured light and
![Rendered by QuickLaTeX.com I_0](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-d39036990f5094f2fec381165ca0dbaf_l3.png)
is the intensity of the incident light),
![Rendered by QuickLaTeX.com epsilon_{lambda}](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-d230a65e714d5384597c38193cca9c41_l3.png)
is the wavelength-dependent molar (decadic) absorption coefficient (formerly molar decadic extinction coefficient) with units of
![Rendered by QuickLaTeX.com M^{-1}cm^{-1}](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-de2fa1fed136e7abe44f5b35b135f2c2_l3.png)
, c is the concentration of the absorber (
![Rendered by QuickLaTeX.com M^{-1}](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-2bc95cd57a71c3224705b80362680e85_l3.png)
) and d is the pathlength of light (cm). Please note that the subscript
![Rendered by QuickLaTeX.com lambda](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-348946ed1a38a02e583205ec48c7502c_l3.png)
is often dropped with the understanding that the value for
![Rendered by QuickLaTeX.com epsilon](http://latamnirs.org/wp-content/ql-cache/quicklatex.com-44cfe76637672a417cfe695be38131d9_l3.png)
is for a specific wavelength.
Alternative definition:
Synonym: Beer-Lambert-Bouguer Law
References: https://doi.org/10.1002/cphc.202000464
https://doi.org/10.1017/CBO9781139029797
Related terms: modified Beer Lambert law, optical density, molar absorption coefficient