Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Rayleigh Scattering Cross-Section for Molecules of Gases

Rayleigh scattering is the elastic scattering of light or other electromagnetic radiation by particles much smaller than the wavelength of the radiation.

The Rayleigh scattering cross-section is proportional to the volume polarizability squared divided by the wavelength to the fourth power. It is modified by the depolarization factor.

Formula

QuantityVariable["σ", "Area"] == (128*Pi^5*QuantityVariable[Subscript["α", "0"], "Volume"]^2*(6 + 3*QuantityVariable[Subscript["ρ", "n"], "Unitless"]))/(3*QuantityVariable["λ", "Wavelength"]^4*(6 - 7*QuantityVariable[Subscript["ρ", "n"], "Unitless"]))

symbol description physical quantity
σ Rayleigh scattering cross-section "Area"
λ wavelength "Wavelength"
α0 volume polarizability "Volume"
ρn depolarization factor "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Rayleigh Scattering Cross-Section for Molecules of \ Gases"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Rayleigh Scattering Cross-Section for Molecules of Gases"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Rayleigh Scattering Cross-Section for Molecules of Gases"], \ {QuantityVariable[ \!\(\*SubscriptBox[\("\[Rho]"\), \("n"\)]\),"Unitless"] -> None, QuantityVariable["\[Sigma]","Area"] -> None, QuantityVariable[ \!\(\*SubscriptBox[\("\[Alpha]"\), \("0"\)]\),"Volume"] -> Quantity[1.7`*^-24, ("Centimeters")^3]}]
Out[3]=

Source Metadata

  • Creator:

Publisher Information