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The theoretical formula expressed in Equation \ref{6.11} is called Planck’s blackbody radiation law. This law is in agreement with the experimental blackbody radiation curve (Figure \(\PageIndex{2}\)).
In physics, Planck's law (also Planck radiation law [1]: 1305 ) describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T, when there is no net flow of matter or energy between the body and its environment.
A blackbody is an idealized object which absorbs and emits all frequencies. Classical physics can be used to derive an equation which describes the intensity of blackbody radiation as a function of frequency for a fixed temperature — the result is known as the Rayleigh-Jeans law.
12 Μαρ 2024 · Planck Law. The spectrum of blackbody radiation was extensively studied and well known. The German physicist Max Planck (1858–1947) first guessed a functional form of intensity dependence on the wavelength of EM radiation, which is now known as the Planck Law.
The theoretical formula expressed in Equation 6.11 is called Planck’s blackbody radiation law. This law is in agreement with the experimental blackbody radiation curve (see Figure 6.7). In addition, Wien’s displacement law and Stefan’s law can both be derived from Equation 6.11.
In the classical model of blackbody radiation, the Rayleigh-Jeans Law takes into account that cavity atoms are modeled as oscillators emitting electromagnetic waves of all wavelengths: dI 2πckT. = I(λ, T ) = (3) dλdΩ λ4 where k is Boltzmann’s constant and c is the speed of light in free space.
In 1900 Planck derived a formula for blackbody radiation which is in total agreement with experimental data (Fig. 1). The intensity of radiation emitted by a body is given by Planck's Radiation Law:
