science & techanalysisWikipedia

Beer–Lambert law

the gist

The Beer-Lambert law says that the amount of light a solution absorbs is directly proportional to how concentrated the dissolved substance is. The relationship is written A = εcl, where A is absorbance, ε is the absorption coefficient of the substance, c is its concentration and l is the path length the light travels through the liquid. Measure the absorbance and you can work out the concentration. Versions of the idea were found by Pierre Bouguer in 1729, Johann Lambert in 1760 and August Beer in 1852.

how it works

Each molecule in a solution blocks a fixed fraction of light at a given wavelength. More molecules or a longer light path mean more blocking, so absorbance scales with concentration and distance.

so what

The law underlies the spectrophotometers used in labs and hospitals to measure everything from drug doses to pollutants in water, without needing to separate the sample.

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