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Table 2.

Colour correction factors and beaming parameters for the computed atmosphere models.

Teff (MK) log g γmin δ ⟨γ0⟩ nin/nGJ fc a1 a2 a3 a4
Heated models
5 13.7 10 2 100 2 × 105 1.15 0.44 0.38 0.34 0.59
5 14.0 10 2 100 2 × 105 1.20 0.58 0.42 0.34 0.55
5 14.3 10 2 100 2 × 105 1.26 0.59 0.42 0.34 0.54
5 14.6 10 2 100 2 × 105 1.33 0.84 0.45 0.33 0.43
5 14.3 10 1 104 2 × 103 1.51 0.64 0.32 0.32 0.29
5 14.3 10 3 20 106 0.93 0.38 0.28 0.32 2.40
5 14.3 50 2 400 5 × 104 1.42 0.80 0.36 0.32 0.33
5 14.3 200 2 1400 104 1.48 0.62 0.33 0.32 0.31
4 14.3 10 2 100 9 × 104 1.36 0.87 0.44 0.33 0.41
3 14.3 10 2 100 3 × 104 1.49 0.86 0.35 0.30 0.34
2 14.3 10 2 100 5 × 103 1.67 0.64 0.21 0.23 0.29
Non-heated models
5 14.3 − − − − 1.52 0.64 0.32 0.32 0.31
4 14.3 − − − − 1.59 0.43 0.27 0.31 0.31
3 14.3 − − − − 1.67 0.41 0.21 0.29 0.31
2 14.3 − − − − 1.80 0.37 0.16 0.23 0.28

Notes. The model parameters are: the effective temperature Teff, surface gravity log g, minimum Lorentz factor of the incoming particles γmin, and the slope of the return-current particle energy distribution δ. Also, shown are the average Lorentz factor ⟨γ0⟩, number density of penetrating particles in terms of Goldreich-Julian number density nin/nGJ, colour correction factor fc (defined as fc = Tc/Teff, where Tc is the fitted colour temperature), and beaming parameters a1, a2, a3, a4 (where ai = Ii(μ = 0)/Ii(μ = 1)) for photons emitted at energies 0.3, 1, 3, and 10 kTc correspondingly.

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