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Planck's Radiation Law Using Wavelength

Planck's law describes the spectral density of electromagnetic radiation emitted by a blackbody in thermal equilibrium at a given temperature.

The spectral radiance as a function of wavelength is proportional to the reciprocal of the wavelength cubed times the sum of negative 1 and the exponential of the product of the speed of light and the Planck constant divided by the product of the temperature, wavelength and the Boltzmann constant.

Formula

QuantityVariable["L"["λ"], "SpectralRadianceWRTWavelength"] == Quantity[2, "PlanckConstant"*"SpeedOfLight"^2]/((-1 + E^(Quantity[1, ("PlanckConstant"*"SpeedOfLight")/"BoltzmannConstant"]/(QuantityVariable["T", "Temperature"]*QuantityVariable["λ", "Wavelength"])))*QuantityVariable["λ", "Wavelength"]^5)

symbol description physical quantity
StringJoin["L"["λ"]] spectral radiance as a function of wavelength "SpectralRadianceWRTWavelength"
T temperature "Temperature"
λ wavelength "Wavelength"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Planck's Radiation Law Using Wavelength"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Planck's Radiation Law Using Wavelength"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Planck's Radiation Law Using Wavelength"], {QuantityVariable[ "T","Temperature"] -> Quantity[6000, "Kelvins"]}]
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Source Metadata

  • Creator:
  • Date: 1900

Publisher Information