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Wien Displacement Law for Peak Wavelength

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 wavelength is inversely proportional to the temperature.

Formula

QuantityVariable[Subscript["λ", "max"], "Wavelength"] == Quantity[1, "WienWavelengthDisplacementLawConstant"]/QuantityVariable["T", "Temperature"]

symbol description physical quantity
λmax peak wavelength "Wavelength"
T temperature "Temperature"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Wien Displacement Law for Peak Wavelength"], {QuantityVariable[ \!\(\*SubscriptBox[\("\[Lambda]"\), \("max"\)]\),"Wavelength"] -> Quantity[501.3`4., "Nanometers"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1893

Publisher Information