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Everything about The Emissivity totally explained

The emissivity of a material (usually written epsilon) is the ratio of energy radiated by the material to energy radiated by a black body at the same temperature. It is a measure of a material's ability to absorb and radiate energy. A true black body would have an epsilon=1 while any real object would have epsilon<1. Emissivity is a dimensionless quantity and doesn't have units. In general, the duller and blacker a material is, the closer its emissivity is to 1. The more reflective a material is, the lower its emissivity. Highly polished silver has an emissivity of about 0.02.

Explanation

This emissivity depends on factors such as temperature, emission angle, and wavelength. A typical engineering assumption is to assume that a surface's spectral emissivity and absorptivity don't depend on wavelength, so that the emissivity is a constant. This is known as the grey body assumption.
   When dealing with non-black surfaces, the deviations from ideal black body behavior are determined by both the geometrical structure and the chemical composition, and follow Kirchhoff's law of thermal radiation: emissivity equals absorptivity (for an object in thermal equilibrium), so that an object that doesn't absorb all incident light will also emit less radiation than an ideal black body.

Emissivity of earth's atmosphere

The emissivity of Earth's atmosphere varies according to cloud cover and the concentration of gases that absorb and emit energy in the thermal infrared (for example, wavelengths around 8 to 14 micrometres). These gases are often called greenhouse gases, from their role in the greenhouse effect. The main naturally-occurring greenhouse gases are water vapor, carbon dioxide, methane, and ozone. The major constituents of the atmosphere, N2 and O2, don't absorb or emit in the thermal infrared.

Astrophysical greybody

The monochromatic flux density radiated by a greybody at frequency u through solid angle dOmega is given by F_Further Information

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