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Beer–Lambert Law with Napierian Absorbance

The Beer–Lambert law relates the attenuation of light to the properties of the material through which the light is traveling.

The decadic absorbance equals the product of the particle density, the path length and the absorption cross\[Hyphen]section.

Formula

QuantityVariable[Subscript["A", "e"], "Unitless"] == QuantityVariable["l", "PathLength"]*QuantityVariable["N", "MoleculeDensity"]*QuantityVariable["σ", "Area"]

symbol description physical quantity
Ae Napierian absorbance "Unitless"
l path length "PathLength"
N particle density "MoleculeDensity"
σ absorption cross­section "Area"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Beer\[Dash]Lambert Law with Napierian Absorbance"]
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Get the formula:

In[2]:=
FormulaData[ ResourceObject["Beer\[Dash]Lambert Law with Napierian Absorbance"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Beer\[Dash]Lambert Law with Napierian Absorbance"], \ {QuantityVariable["\[Sigma]","Area"] -> Quantity[1.`*^-12, ("Centimeters")^2], QuantityVariable[ \!\(\*SubscriptBox[\("A"\), \("e"\)]\),"Unitless"] -> 0.04`}]
Out[3]=

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