Center frequency formulation of the blackbody radiation spectrum

Abstract

The blackbody radiation spectrum is described in terms of a resonance curve that is composed of an excitation function, x⁵, and a damping function, e^−x, where x=hν/kT. The energy radiated per unit area per second is expressed as E(ν, T)dν=K_νx⁵e^−xdν. This mathematically simple and physically transparent formulation reproduces the features of the blackbody radiation curve and contains the valid temperature radiation laws. With the help of that formula, the blackbody radiation spectrum is also expressed in terms of the previously introduced Center Frequency concept. We derive a Center Frequency Law of Blackbody Radiation and use it to calculate the Stefan-Boltzmann radiation constant in close agreement with the best available data.