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Beer-Lambert Law Absorbance & Transmittance Calculator

The Beer-Lambert Law relates light attenuation to the properties of the material through which light travels.

Molar extinction coefficient ε at the measurement wavelength.

Optical path length through the liquid (standard cuvette is 1.0 cm).

Sample molarity in moles per liter.

Calculated Result
1.000 AU

Optical Absorbance (A)

Absorbance (A)

1.000 AU

Transmittance (%T)

10.00%

Cuvette Path Length

1.00 cm

Concentration

1.000e-3 M

Calculation Breakdown

  1. Beer-Lambert Spectrophotometry LawA = 1000 × 1 cm × 1.000e-3 M = 1.000 AUA=ε⋅l⋅cA = \varepsilon \cdot l \cdot c
  2. Percent Transmittance Conversion%T = 10^(-1.000) × 100 = 10.00%%T=10−A×100%\%T = 10^{-A} \times 100\%

Absorbance vs Concentration (ε = 1000, l = 1 cm)

Interactive visualization based on your current inputs

Absorbance
0.00.51.01.52.00.2 mM0.5 mM1.0 mM1.5 mM2.0 mMConcentration (mM)Absorbance (AU)

What Is the Beer-Lambert Law Absorbance & Transmittance Calculator?

The Beer-Lambert Law governs quantitative absorption spectroscopy in chemistry and molecular biology.

How Does the Beer-Lambert Law Absorbance & Transmittance Calculator Work?

Photons are absorbed by electronic transitions. Each incremental slice of solution absorbs a constant fraction of light.

Beer-Lambert Law Absorbance & Transmittance Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

A = \varepsilon \cdot l \cdot c, \quad \%T = 10^{-A} \times 100\%

Absorbance A is linearly proportional to molar absorptivity ε, optical path length l, and molar concentration c.

How to Use the Beer-Lambert Law Absorbance & Transmittance Calculator

  1. Enter the molar extinction coefficient in L/(mol·cm).
  2. Specify cuvette path length (default 1.0 cm).
  3. Provide sample concentration in mol/L.

Step-by-Step Example Calculation

Spectrophotometric Protein Assay

Input Values:

extinctionCoeff:1000
pathLength:1.0
concentration:0.001
Worked Steps: A 1 mM solution with ε = 1000 L/(mol·cm) in a 1 cm cuvette yields an absorbance of 1.000 AU and 10% transmittance.

Understanding Your Result

Absorbance (A): Unitless optical density value (AU).

Transmittance (%T): Percentage of incident light reaching the photodetector.

Factors That Affect the Result

  • Wavelength: Extinction coefficient varies dramatically across absorption spectrum peaks.

When Should You Use This Calculator?

  • DNA, RNA, and protein quantification (e.g. A260/A280 assays) and chemical kinetic monitoring.

Assumptions & Limitations

  • Assumes monochromatic light, homogeneous non-scattering solution, and no chemical dimerization.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Beer-Lambert formulation with exact optical conversion.

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