Blackbody radiation. Plot of spectral energy density vs. wavelength.

Version 0.2

To do:

(i) Develop Stefan-Boltzmann illustration?

(ii) Better illustrate Wien's law.

k_B = 1.381 10^-23 J/K – Boltzmann's constant; h = 6.6261 10^-34 Js - Planck's constant; s = 5.6703 10^-8 W/m^2K^4 – Stefan-Boltzmann constant; b = 2.898 10^-3 mK – Wien's displacement constant; c = 3 10^8 m/s – speed of light.

u – spectral energy density (du/dE); x – wavelength; T – temperature;

Planck distribution.

Rayleigh-Jeans law.

UV approximation to Planck distribution.

Express wavelength in nm and energy in J/m^4. m is a scaling factor to bring curve into a reasonable field of view.

Wavelength at maximum of spectral density (=b/T):

Wien's displacement law (with arbitrary scaling factor for visibility).

Range of visible spectrum (400-700 nm).

Author: David Craig <http://web.lemoyne.edu/~craigda/>

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