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Black-Body Radiation Package

Black-Body Radiation Package

A body that absorbs all radiation incident on it is called an ideal black body. This package provides functions giving the basic properties of black‐body radiation at a specified temperature, and a function for plotting black‐body spectral distributions.

PeakWavelength[temp]wavelength of the maximum emission of a black body at the specified temperature
TotalPower[temp]total power of a black body at the specified temperature
MaxPower[temp,band]power of a black body at the specified temperature for the specified wavelength band about the peak wavelength

Black‐body radiation properties.

This loads the package.
Wolfram Language code: <<BlackBodyRadiation`
The surface of the sun is about 5000 K. Assuming the sun is a black‐body radiator, this gives the wavelength at which its spectrum peaks.
Wolfram Language code: PeakWavelength[5000 Kelvin]
This gives the total power radiated by a black body at a temperature of 5000 K.
Wolfram Language code: TotalPower[5000 Kelvin]
This gives the radiative power in the wavelength interval of 0.1 about the peak wavelength of a black body at a temperature of 5000 K.
Wolfram Language code: MaxPower[5000 Kelvin, (Meter/10^7)]
BlackBodyProfile[temp1,temp2,…]plot the black‐body spectral distribution profiles at the specified temperatures

Plotting black‐body profiles.

This gives the spectral distribution of radiation from a black body for three different temperatures.
Wolfram Language code: BlackBodyProfile[4000 Kelvin, 5000 Kelvin, 6000 Kelvin, PlotRange -> {{0, 2.0×10^-6}, {0, 1.1×10^14}}]

Note that BlackBodyProfile takes the same options as Plot in order to specify different styles for each profile curve.