Chemistry

Beer-Lambert Law Calculator (Absorbance and Concentration)

Solve for concentration from absorbance, or absorbance from concentration, for spectrophotometry.

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Answer
Answer
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Transmittance
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Concentration (µmol/L)
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Beer-Lambert Law Calculator (Absorbance and Concentration) by TheCalcTools

How the Beer-Lambert Law Calculator (Absorbance and Concentration) works

The Beer-Lambert law says absorbance is proportional to concentration and path length: A = εlc. Measure absorbance in a spectrophotometer and divide by εl to get concentration.

Absorbance and transmittance are related by A = −log₁₀ T. The law is most reliable for absorbances between about 0.1 and 1.

The formula

A = ε × l × c; T = 10^(−A)

Worked example

Using the default values shown in the calculator:

Solve forConcentration
Absorbance A0.45
Molar absorptivity ε (L/(mol·cm))6220
Path length (cm)1
Concentration (mol/L)0.0001
  1. c = 0.45 ÷ (6220 × 1) = c = 0.00007235 mol/L.
  2. Transmittance = 35.5%.

Result:

Answerc = 0.00007235 mol/L
Transmittance35.48%
Concentration (µmol/L)72.347

Frequently asked questions

Why is NADH's ε 6220?

NADH absorbs at 340 nm with a molar absorptivity of about 6,220 L/(mol·cm), widely used in enzyme assays. Use the value for your own compound and wavelength.

Sources and further reading

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