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In physics, Wien's displacement law states that the black-body radiation curve for different temperatures will peak at different wavelengths that are inversely proportional to the temperature. The shift of that peak is a direct consequence of the Planck radiation law , which describes the spectral brightness or intensity of black-body radiation ...
Stefan–Boltzmann law: Surface temperature of any objects radiate energy and shows specific properties. These properties are calculated by Boltzmann law. 2. Wien's displacement law: Wien's displacement law explains the relation between temperature and the wavelength of radiation. It states that the wavelength of radiation emitted from a ...
Comparison of Wien’s curve and the Planck curve. Wien's approximation (also sometimes called Wien's law or the Wien distribution law) is a law of physics used to describe the spectrum of thermal radiation (frequently called the blackbody function). This law was first derived by Wilhelm Wien in 1896.
Formulas for the various peak wavelengths and mean photon energy were taken from the Wikipedia Wien's displacement law page. The median and quartiles were computed by numerically integrating Planck's law ; however, for any who wish to avoid this, information on percentiles is given in the Planck's law article.
A consequence of Wien's displacement law is that the wavelength at which the intensity per unit wavelength of the radiation produced by a black body has a local maximum or peak, , is a function only of the temperature: =, where the constant b, known as Wien's displacement constant, is equal to + 2.897 771 955 × 10 −3 m K. [31]
Deriving the Stefan–Boltzmann Law using Planck's law. The law can be derived by considering a small flat black body surface radiating out into a half-sphere. This derivation uses spherical coordinates , with θ as the zenith angle and φ as the azimuthal angle; and the small flat blackbody surface lies on the xy-plane, where θ = π / 2 .
Wien's law or Wien law may refer to: . Wien approximation, an equation used to describe the short-wavelength (high frequency) spectrum of thermal radiation; Wien's displacement law, an equation that describes the relationship between the temperature of an object and the peak wavelength or frequency of the emitted light
Wilhelm Carl Werner Otto Fritz Franz Wien (German: [ˈvɪlhɛlm ˈviːn] ⓘ; 13 January 1864 – 30 August 1928) was a German physicist who, in 1893, used theories about heat and electromagnetism to deduce Wien's displacement law, which calculates the emission of a blackbody at any temperature from the emission at any one reference temperature.