quantitykind:PlanckFunction

Type
Description

The $$\textit{Planck function}$$ is used to compute the radiance emitted from objects that radiate like a perfect "Black Body". The inverse of the $$\textit{Planck Function}$$ is used to find the $$\textit{Brightness Temperature}$$ of an object. The precise formula for the Planck Function depends on whether the radiance is determined on a $$\textit{per unit wavelength}$$ or a $$\textit{per unit frequency}$$. In the ISO System of Quantities, $$\textit{Planck Function}$$ is defined by the formula: $$Y = -G/T$$, where $$G$$ is Gibbs Energy and $$T$$ is thermodynamic temperature.

Properties
The Planck function, $$B_{\tilde{\nu}}(T)$$, is given by: $$B_{\nu}(T) = \frac{2h c^2\tilde{\nu}^3}{e^{hc / k \tilde{\nu} T}-1}$$ where, $$\tilde{\nu}$$ is wavelength, $$h$$ is Planck's Constant, $$k$$ is Boltzman's Constant, $$c$$ is the speed of light in a vacuum, $$T$$ is thermodynamic temperature.
Annotations
The $$\textit{Planck function}$$ is used to compute the radiance emitted from objects that radiate like a perfect "Black Body". The inverse of the $$\textit{Planck Function}$$ is used to find the $$\textit{Brightness Temperature}$$ of an object. The precise formula for the Planck Function depends on whether the radiance is determined on a $$\textit{per unit wavelength}$$ or a $$\textit{per unit frequency}$$. In the ISO System of Quantities, $$\textit{Planck Function}$$ is defined by the formula: $$Y = -G/T$$, where $$G$$ is Gibbs Energy and $$T$$ is thermodynamic temperature.
$$B_{\nu}(T)$$
Planck Function(en)

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