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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 ...
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.
Wien's displacement law in its stronger form states that the shape of Planck's law is independent of temperature. It is therefore possible to list the percentile points of the total radiation as well as the peaks for wavelength and frequency, in a form which gives the wavelength λ when divided by temperature T . [ 43 ]
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]
[4]: 278 Planck's law describes the spectrum of blackbody radiation, and relates the radiative heat flux from a body to its temperature. Wien's displacement law determines the most likely frequency of the emitted radiation, and the Stefan–Boltzmann law gives the radiant intensity.
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.
In 1896 Wien empirically determined a distribution law of blackbody radiation, [2] later named after him: Wien's law. Max Planck, who was a colleague of Wien's, did not believe in empirical laws, so using electromagnetism and thermodynamics, he proposed a theoretical basis for Wien's law, which became the Wien–Planck law. However, Wien's law ...
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