12.9 Forms of the Distribution Function f(λ)
From purely thermodynamic reasoning, Wien arrived at the relation
eλ, = λ −5f(λT)
where eλ is the monochromatic emissive power of a black body within the wavelength range λ to λ + dλ and at absolute temperature T.
12.9.1 Wien's Formula
Wien arrived at the following relation
on certain arbitrary assumptions; these assumptions are as follows:
- The radiation was produced by oscillators of atomic dimensions.
- The frequency of the emitted waves was proportional to the kinetic energy of the oscillators.
- The intensity in any particular wavelength range was proportional to the number of oscillators ...