JoVE Logo

Sign In

The Beer-Lambert law describes the relationship between absorbance and concentration, which combines the principles established by scientists Johann Heinrich Lambert and August Beer. Lambert's law states that when light passes through a medium, the loss in intensity is directly proportional to the original intensity and the path length of the light. Beer's law proposed that the transmittance of a solution remains constant if the product of concentration and path length is constant. The modern Beer-Lambert law combines these two laws and correlates the light's absorbance, concentration, and path length.

According to the Beer-Lambert law, absorbance is concentration multiplied by the molar absorptivity coefficient and the path length. At a single wavelength, absorbance can be given by the formula,

Figure1

Where A is absorbance, ε is the molar absorptivity of the compound or molecule in solution (M1cm1), the path length of the cuvette is denoted by l, and c is the concentration of the solution (M). Absorbance of a solution, is the logarithmic function of the ratio of the intensity of the incident light, I0, to the intensity of the transmitted light, I.

Figure2

The molar absorptivity, also known as the molar absorptivity coefficient, ε, is the absorbance of a compound when a 1.00 M solution is taken in a cell with a 1.00 cm path length. The absorbance of a solution is directly proportional to its concentration. The linear relationship between absorbance and concentration allows the determination of an unknown concentration by plotting the absorbance against known concentrations, creating a calibration curve.

From Chapter 12:

article

Now Playing

12.9 : UV–Vis Spectroscopy: Beer–Lambert Law

Introduction to Molecular Spectroscopy

1.1K Views

article

12.1 : Dual Nature of Electromagnetic (EM) Radiation

Introduction to Molecular Spectroscopy

1.6K Views

article

12.2 : Interaction of EM Radiation with Matter: Spectroscopy

Introduction to Molecular Spectroscopy

908 Views

article

12.3 : Molecular Spectroscopy: Absorption and Emission

Introduction to Molecular Spectroscopy

637 Views

article

12.4 : Spectrophotometry: Introduction

Introduction to Molecular Spectroscopy

2.3K Views

article

12.5 : Ultraviolet and Visible (UV–Vis) Spectroscopy: Overview

Introduction to Molecular Spectroscopy

2.0K Views

article

12.6 : UV–Vis Spectroscopy: Molecular Electronic Transitions

Introduction to Molecular Spectroscopy

928 Views

article

12.7 : UV–Vis Spectrometers

Introduction to Molecular Spectroscopy

825 Views

article

12.8 : UV–Vis Spectrum

Introduction to Molecular Spectroscopy

764 Views

article

12.10 : Photoluminescence: Fluorescence and Phosphorescence

Introduction to Molecular Spectroscopy

136 Views

article

12.11 : Variables Affecting Phosphorescence and Fluorescence

Introduction to Molecular Spectroscopy

58 Views

article

12.12 : Deactivation Processes: Jablonski Diagram

Introduction to Molecular Spectroscopy

123 Views

article

12.13 : Photoluminescence: Applications

Introduction to Molecular Spectroscopy

82 Views

article

12.14 : Fluorescence and Phosphorescence: Instrumentation

Introduction to Molecular Spectroscopy

128 Views

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved