During the later years of the nineteenth century, physicists were attempting to calculate the energy distribution of the radiation emitted by a cavity known as a blackbody. A blackbody is a cavity that is a perfect absorber and emitter of radiation and has a radiation spectrum that depends upon its absolute temperature. Many theorists attempted to use 'classical' physics to account for the spectrum but they were only partially successful. Some of the theories predicted that at the high-energy end, of the blackbodies’ spectrum, infinite energies would occur in a phenomena dubbed the ‘ultra-violet catastrophe’.
In 1900, Max Planck solved the blackbody energy, distribution problem by postulating that energy came in small discrete packets or quanta rather than the classical continuous and infinitely dividable. Using the concept, he derived a partition function that correctly described the radiation energy distribution of a blackbody cavity.
The blackbody concept is a theoretical one and therefore a 'silver', bronze or green (etc..,) surface may be approximated by the equation of radiation energy distribution for the given temperature of the surface, namely: -
Planck's law states that
I(ν,T) dν = 2hν³..... 1 ..... dν
................ __ ________
..................... hν/kT
................ c² (e . - . 1)
where (the dots are formatting place holders)
I(ν,T) dν is the amount of energy per unit surface area per unit time per unit solid angle emitted in the frequency range between ν and ν + dν by a blackbody at temperature T;
h is the Planck constant;
c is the speed of light in a vacuum;
k is the Boltzmann constant;
ν is frequency of electromagnetic radiation; and
T is the temperature in kelvins.