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Wien Displacement Law for Peak Frequency

Wien's displacement law states that the blackbody radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature. The shift of that peak is a direct consequence of the Planck radiation law, which describes the spectral brightness of blackbody radiation as a function of wavelength at any given temperature.

The peak frequency is proportional to the temperature.

Formula

QuantityVariable[Subscript["ν", "max"], "Frequency"] == Quantity[3 + ProductLog[-3/E^3], "BoltzmannConstant"/"PlanckConstant"]*QuantityVariable["T", "Temperature"]

symbol description physical quantity
νmax peak frequency "Frequency"
T temperature "Temperature"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Wien Displacement Law for Peak Frequency"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Wien Displacement Law for Peak Frequency"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Wien Displacement Law for Peak Frequency"], {QuantityVariable[ "T","Temperature"] -> Quantity[5780, "Kelvins"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1893

Publisher Information