# spectral-hemispherical emissivity

[2.13.8.4] ε(λ,T ) (of an element of surface of an opaque temperature radiator that has an optical smooth surface)
The ratio of its spectral radiant exitance to that of a blackbody at the same temperature:

$\epsilon \left ( \lambda ,T \right )=\left ( 1/\pi \right )\int _{2\pi} \epsilon \left ( \lambda ,\theta ,\phi ,T \right ) cos \theta \cdot d\omega$

$\equiv M_{\lambda }\left ( \lambda ,T \right )/M{_{\lambda, blackbody}}\left ( \lambda \sqrt{T} \right )$

Note: Hemispherical emissivity is frequently called “total” emissivity. “Total” by itself is ambiguous and should be avoided since it may also refer to “spectral-total” (all wavelengths) as well as “directional-total” (all directions). (See Section 2.13.8.2, spectral-total hemispherical emissivity.)

« Back to Definitions Index