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Beer-Lambert Absorbance Calculator

Use the Beer-Lambert Law (A = ε·c·l) to convert between absorbance, concentration, and path length. Includes common extinction coefficients for DNA, RNA, proteins, and dyes.

Parameters

Nucleic acids (per base avg)
Proteins
Common dyes

Microfluidic channels are typically 0.005–0.05 cm (50–500 µm)

Result

Concentration
75.758 µM
A = ε × c × l
0.5000 = 6,600 × 7.5758e-5 × 1
ParameterValue
Absorbance (A)0.5000
ε at 260 nm6,600 L mol−¹ cm−¹
Concentration (c)75.758 µM
Path length (l)1 cm
Disclaimer: This calculator is provided as a guide only. Always verify results against known standards. Extinction coefficients vary with solvent, pH, temperature, and instrument. Ensure your spectrophotometer is calibrated and blanked appropriately.

About the Beer-Lambert Law

The Beer-Lambert Law describes the relationship between the absorbance of light through a solution and the concentration of the absorbing species. It is the foundation of UV-Vis spectrophotometry and is used daily in biology and chemistry labs to quantify nucleic acids, proteins, dyes, and metabolites.

The Equation

A = ε × c × l

where A is the measured absorbance (dimensionless), εis the molar extinction (absorption) coefficient (L mol−¹ cm−¹), cis the molar concentration (mol L−¹), and l is the optical path length (cm). Rearranging for any unknown is straightforward.

Beer-Lambert in Microfluidics

In microfluidic channels, path lengths are typically 50–500 µm (0.005–0.05 cm), which is 100–200× shorter than a standard 1 cm cuvette. This dramatically reduces absorbance readings at the same concentration, requiring either higher concentrations, more sensitive detectors, or longer on-chip optical paths (e.g. Z-shaped detection cells) to achieve adequate signal-to-noise.

Limitations

The Beer-Lambert Law is valid for dilute, homogeneous solutions where the absorbing species do not interact. It breaks down at high concentrations (typically A > 2) due to detector saturation, molecular interactions, and stray light. It also assumes monochromatic light and that fluorescence and scattering are negligible.

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