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Wien approximation : ウィキペディア英語版
Wien approximation

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.〔
〕〔
〕〔
〕 The equation does accurately describe the short wavelength (high frequency) spectrum of thermal emission from objects, but it fails to accurately fit the experimental data for long wavelengths (low frequency) emission.〔
==Details==
Wien derived his law from thermodynamic arguments, several years before Planck introduced the quantization of radiation. Details are contained in.〔
〕 The law may be written as
:I(\nu, T) = \frac e^}   〔

where
:
*I(\nu, T) is the amount of energy per unit surface area per unit time per unit solid angle per unit frequency emitted at a frequency ν.
:
*T is the temperature of the black body.
:
*h is Planck's constant.
:
*c is the speed of light.
:
*k is Boltzmann's constant.
This equation may also be written as
: I(\lambda, T) = \frac e^}   〔〔Equation derived using ''u'' = 4π/''c''; see .〕
where I(\lambda, T) is the amount of energy per unit surface area per unit time per unit solid angle per unit wavelength emitted at a wavelength λ.
The peak value of this curve, as determined by taking the derivative and solving for zero, occurs at a wavelength λmax and frequency νmax of:〔

: \lambda_ \cdot T\ =\ 0.290\ \mathrm
: \nu_\ =\ 5.88 \times 10^ \cdot T
in cgs units.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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