Beer-Lambert Calculator

Calculate concentration, absorbance, or molar absorptivity using Beer-Lambert law (A = εlc). Includes nucleic acid quantification and common chromophore database.

Analytical ChemistryA = εlcClient-Side

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Load example Beer-Lambert data to see the full workflow

  • Determine analyte concentration from a known absorbance reading and extinction coefficient
  • Predict expected absorbance before running a spectrophotometry experiment
  • Look up molar absorptivity values for common chromophores, dyes, and proteins
  • Quantify DNA or RNA concentration from A260/A280 readings
  • Batch-convert absorbance readings at multiple wavelengths to concentrations

Don't use for

  • For turbid or scattering samples without prior clarification — absorbance includes apparent scatter
  • When absorbance exceeds 2.0 — dilute first and re-measure
  • As a substitute for a validated standard curve in regulated assays

Beer-Lambert Law Fundamentals

The Beer-Lambert law relates the attenuation of light to the properties of the material through which it travels:

A=ε×l×cA = \varepsilon \times l \times c

Where: • A = Absorbance (unitless, also called optical density) • ε = Molar absorptivity (Lmol1cm1\text{L} \cdot \text{mol}^{-1} \cdot \text{cm}^{-1}) • l = Path length through the sample (cm) • c = Molar concentration (mol/L)

Absorbance is defined as A = –log₁₀(T), where T is transmittance (I/I₀). This means A = 1 corresponds to 10% transmittance, and A = 2 corresponds to 1% transmittance. The linear relationship holds for dilute, homogeneous solutions of non-interacting chromophores.

Common Pitfalls in Spectrophotometry

Several factors can cause deviations from Beer-Lambert linearity:

High concentration: Molecular interactions and aggregation change the effective ε • Stray light: Instrument imperfections add a constant signal, compressing high-absorbance readings • Scattering: Turbid samples scatter light, mimicking absorbance • Chemical equilibria: pH-dependent speciation can shift with concentration (e.g., indicator dyes) • Fluorescence: Re-emitted photons reach the detector, reducing apparent absorbance • Wrong wavelength: Measuring off-peak reduces sensitivity and may introduce nonlinearity

Best practice: run a standard curve at your exact conditions and verify linearity before quantifying unknowns.

Frequently Asked Questions