Absorption Spectra: Determine Dilute/Thick Solutions

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    Absorption Spectra
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To determine if a solution is optically dilute or thick, the absorption coefficient (a) is key, as it indicates how much light is absorbed per centimeter. A lower absorption coefficient suggests an optically dilute solution, while a higher coefficient indicates an optically thick solution. The relationship between transmitted intensity (I) and incident intensity (Io) can be expressed using the equation I = Io e^(-ax), allowing for calculations of a based on light transmission percentages. For example, when 75% of light is transmitted, a equals 0.28, while at 50% and 25% transmission, a equals 0.69 and 1.39, respectively. Understanding these values can help assess the optical properties of various solutions.
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If you're reading a graph of absorption coefficient(cm^-1) versus wavelength(nm), how can you dtermine if the solution is optically dilute? What about optically thick? Thanks
Ben
 
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Well as the absorbtion coefficient is per cm, i am guessing the higher it is the more light is being absorbed when traveling through a cm of the substance. So the optically diluter substance is probably the one with the lower coefficient.
 
I agree, unfortunately I'm not comparing two spectra, but rather just answering for a variety of spectra is the solution optically dilute? Is it Optically thick? And not sure where the cut off is, can't find a value anywhere
 
K i looked on wikipedia and the equation for absorbtion coefficient is:

I = Io e^-ax

Where I is transmitted intensity, Io is incident intensity, a is the attenuation coefficient and x is the thickness of the substance. Rearranging for a:

a = ln(Io/I)

If we try some values:

When 75% of light is transmitted a = 0.28

When 50% of light is transmitted a = 0.69

When 25% of light is transmitted a = 1.39

Maybe that will help you
 
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