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Table 1.

Scaling of the radiative transfer coefficients for thermal electrons and relativistic electrons with the projection of the magnetic fields along or orthogonal to the line of sight, the frequency of photons, and the density and temperature of free electrons (adapted from Sazonov 1969).

Thermal electrons 105(neB)/(ν2)
∼10−36 m−1 ∼10−55 m−1 ∼10−46 m−1 ∼10−23 m−1 ∼10−33 m−1
Relativistic electrons
∼10−32 m−1 ∼10−32 m−1 ∼10−36 m−1 ∼10−30 m−1 ∼10−31 m−1

Notes. For thermal electrons, the numerical constants in front of the reported scalings span a large range of values and we provide their value relative to that for the parameter . These constants are all of the same order in the case of relativistic electrons. The corresponding values are obtained for the case of haloes with ne = 10−5 cm−3, Te = 107 K for thermal electrons, and cm−3 for relativistic electrons. In both cases, the magnetic field is set to B = 3 μG and the frequency to ν = 30 GHz.

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