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TThhee BBeeeerr ––LLaammbbeerrtt 
LLaaww
The Beer –Lambert Law 
• When a monochromatic light of initial intensity Io passes 
through a solution in a transparent vessel, some of the light 
is absorbed so that the intensity of the transmitted light I 
is less than Io .There is some loss of light intensity from 
scattering by particles in the solution and reflection at the 
interfaces, but mainly from absorption by the solution. 
• Therelationship between I and Io depends on the path 
length of theabsorbing medium, l, and the concentration of 
the absorbing solution,c. These factors are related in the 
laws of Lambert and Beer
Lambert’s law 
• When a ray of monochromatic light 
passes throughan absorbing medium 
its intensity decreases exponentially 
as the length of the absorbing 
medium increases.
Beer’s law : 
• When a monochromatic light passes 
through an absorbing medium its 
intensity decreases exponentially as 
the concentration of the absorbing 
medium increases.
Transmittance: 
• The ratio of intensities is known as the 
transmittance (T) and this is usually 
expressed as percentage
Extinction 
• If logarithms are taken of the 
equation instead of a ratio then
• The expression log10 Io/I is known as the 
extinction (E) or absorbance(A). The extinction is 
some times referred as optical density. 
• Therefore 
• A (or) E = k cl 
• where k is molar extinction co-efficient for the 
absorbing material atwave length l, c = molar 
concentration of the absorbing solution,l = path 
length in the absorbing material in cm.
• If the Beer- Lambert law is obeyed 
correctly and l is kept constant, then 
a plot of extinction against 
concentration gives a straight line 
passing through the origin 
• Extinction, E=log10 Io/I
Transmittance
Extinction

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Beer lambert Law

  • 2. The Beer –Lambert Law • When a monochromatic light of initial intensity Io passes through a solution in a transparent vessel, some of the light is absorbed so that the intensity of the transmitted light I is less than Io .There is some loss of light intensity from scattering by particles in the solution and reflection at the interfaces, but mainly from absorption by the solution. • Therelationship between I and Io depends on the path length of theabsorbing medium, l, and the concentration of the absorbing solution,c. These factors are related in the laws of Lambert and Beer
  • 3.
  • 4. Lambert’s law • When a ray of monochromatic light passes throughan absorbing medium its intensity decreases exponentially as the length of the absorbing medium increases.
  • 5. Beer’s law : • When a monochromatic light passes through an absorbing medium its intensity decreases exponentially as the concentration of the absorbing medium increases.
  • 6.
  • 7. Transmittance: • The ratio of intensities is known as the transmittance (T) and this is usually expressed as percentage
  • 8. Extinction • If logarithms are taken of the equation instead of a ratio then
  • 9. • The expression log10 Io/I is known as the extinction (E) or absorbance(A). The extinction is some times referred as optical density. • Therefore • A (or) E = k cl • where k is molar extinction co-efficient for the absorbing material atwave length l, c = molar concentration of the absorbing solution,l = path length in the absorbing material in cm.
  • 10. • If the Beer- Lambert law is obeyed correctly and l is kept constant, then a plot of extinction against concentration gives a straight line passing through the origin • Extinction, E=log10 Io/I