Beer-Lambert Law Calculator

Solve A = εlc for any variable, or convert between absorbance and transmittance.

A = ε × l × c   |   A = −log₁₀(T)
Result

How to Use This Calculator

Select what you want to solve for, fill in the known values, and the result updates instantly. The path length defaults to 1 cm (standard cuvette). The transmittance converter at the bottom works independently — enter %T to get absorbance, or vice versa.

The Math Behind It

The Beer-Lambert law relates the absorbance of light to the properties of the material it passes through. The equation is A = εlc, where A is absorbance (unitless), ε is the molar absorptivity or extinction coefficient (L mol⁻¹ cm⁻¹), l is the path length through the sample (cm), and c is the molar concentration (mol/L).

Worked example: NADH has an extinction coefficient of 6,220 L mol⁻¹ cm⁻¹ at 340 nm. If you measure an absorbance of 0.311 in a 1 cm cuvette: c = A / (ε × l) = 0.311 / (6220 × 1) = 5.0 × 10⁻⁵ M = 50 µM.

Absorbance and transmittance are related by A = −log₁₀(T), where T is the fractional transmittance (0 to 1). A %T of 35% corresponds to T = 0.35, so A = −log₁₀(0.35) = 0.456.

The law is most accurate at low absorbance values (A < 1.0). At higher absorbances, deviations occur due to stray light, detector nonlinearity, and intermolecular interactions. If your sample reads above A ≈ 1.5, consider diluting before measurement.