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Planck's Radiation Law Using Frequency

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 frequency is proportional to the frequency cubed divided by the sum of negative 1 and the exponential of the product of the frequency and the Planck constant divided by the temperature and the Boltzmann constant.

Formula

QuantityVariable["L"["ν"], "RadioBrightness"] == (Quantity[2, "PlanckConstant"/"SpeedOfLight"^2]*QuantityVariable["ν", "Frequency"]^3)/(-1 + E^((Quantity[1, "PlanckConstant"/"BoltzmannConstant"]*QuantityVariable["ν", "Frequency"])/QuantityVariable["T", "Temperature"]))

symbol description physical quantity
StringJoin["L"["ν"]] spectral radiance as a function of frequency "RadioBrightness"
T temperature "Temperature"
ν frequency "Frequency"

Forms

Examples

Get the resource:

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

Get the formula:

In[2]:=
FormulaData[ResourceObject["Planck's Radiation Law Using Frequency"]]
Out[2]=

Use some values:

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

Source Metadata

  • Creator:
  • Date: 1900

Publisher Information