`\lambda_{max} = (2.8977729\times 10^{-3} m K)/ 5800 `

499.61601724138

The Wavelength of a Black Body calculator compute the wavelength of the strongest emissions from a black body based on its temperature.

INSTRUCTIONS: Choose units and enter the following:

• (T) Temperature of the Black Body

Wavelength (λ): The calculator returns the wavelength (λ) in nanometers.  However, this can be automatically converted to other length units (e.g. angstroms) via the pull-down menu. 

General Information

A black body at a fixed temperature emits most strongly at a particular wavelength that depends only on the temperature. This formula describes that relationship. Formally, Wien's displacement law states that the spectral radiance of black body radiation per unit wavelength, peaks at the wavelength λ_max.  Therefore the formula for the temperature of a black body is::

   ` T = b /( λ_max) `

where 

• T is the black body absolute temperature in kelvins.
• λ_max is the maximum wavelength of the black body
• b is a constant of proportionality called Wien's Displacement constant , equal to 2.8977729(17)×10−3 m⋅K[1], or more conveniently to obtain wavelength in micrometers, b ≈ 2900 μm·K. 

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