The Beer-Lambert Law describes the relationship between the amount of light that passes through an absorbing substance, the concentration of the substance and the distance the light travels through the substance.
The basic form of the Beer-Lambert Law is
where
λ | is the wavelength of the light [m]; |
Aλ | is the absorbance at wavelength λ [dimensionless]; |
σλ | is the absorption coefficient for the absorbing substance at wavelength λ, which in the case of a gas is expressed as the absorption cross-section [m2]; |
L | is the optical path length, that is the distance that the light travels through the absorbing substance [m]; |
C | is the concentration of the absorbing substance in the light path, which in the case of a gas is expressed as a density [kg·m-3]. |
Since the absorbance can be expressed as
where
I0λ | is the monochromatic radiance of the incident light at wavelength λ [W·m-2·m-1·sr-1] |
I1λ | is the monochromatic radiance after passing through the material at wavelength λ [W·m-2·m-1·sr-1] |
the Beer-Lambert Law can also be expressed as
or
Thus if the optical path length L and the light intensities before and after absorption are known, the concentration C of the absorbing substance can be calculated.