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Table 2.

Parameters of the clumpy torus models of Nenkova et al. (2008a).

Parameter Symbol Uniform prior Posterior percentiles
16 50 84
Radial extent Y [5, 100] 23 26 30
Width of clouds angular distribution σ [15°, 70°] 28° 35° 43°
Number of clouds along an equatorial ray N0 [1, 15] 6 8 12
Index of the radial density profile (r−q) q [0, 3] 0.07 0.26 0.57
Optical depth per single cloud τV [10, 300] 233 269 292
Inclination i [0°, 90°] 41° 50° 58°
Foreground extinction (mag) AV [0,2] 0.4 1.0 1.6

Covering factor CT ... 0.27 0.45 0.70
Type-2 probability 1-Pesc ... 0.24 0.89 1.00
Torus extinction (mag) AVLOS ... 71 633 2187

Notes. i = 0 is face-on and i = 90 is edge-on. The foreground extinction, AV, is an additional parameter that we use, together with the extinction curve of Chiar & Tielens (2006), to take into account the foreground extinction from the host galaxy. These models use a standard Galactic mix of 53% silicates and 47% graphites, with maximum sizes of 0.25 μm. C T = 1 e N LOS ( i ) d cos ( i ) $ \mathrm{C}_{\mathrm{T}} = 1-\int \mathrm{e}^{-\mathrm{N}_{\mathrm{LOS}}(\mathrm{i})}\rm{d\ cos(i)} $, P esc = e N LOS ( i ) $ \mathrm{P}_{\mathrm{esc}}=\mathrm{e}^{-\mathrm{N}_{\mathrm{LOS}}(\rm{i})} $, and A V LOS = 1.086 τ V N LOS ( i ) $ \mathrm{A}_{\mathrm{V}}^{\mathrm{LOS}} = 1.086\ \tau_{\mathrm{V}}\ \mathrm{N}_{\mathrm{LOS}}(\rm{i}) $, with N LOS ( i ) = N 0 e ( 90 i ) 2 / σ 2 $ \mathrm{N}_{\mathrm{LOS}}(\rm{i}) = \mathrm{N}_0\ \mathrm{e}^{-(90-\mathrm{i})^2/\sigma^2} $. CT is an integrated quantity (over the inclination angle, i), whilst Pesc and AVLOS are calculated at a given i.

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