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Table 1.

Description and range of the parameters from the IR models used in this work.

Name and notation Ranges
Symbol Smooth Clumpy Two-Phases
Inclination angle i [0.01°, 90°] [0.01°, 90°] [0°, 90°]
Torus angular width σtor [20°, 60°] [15°, 70°] [10°, 80°]
Ratio between the inner and outer radius Y [10, 150] [5, 100] [2, 40]
Equatorial optical depth at 9.7 μm τ9.7 μm [0.1, 10] [3, 13]
Number of clouds in the equatorial plane N0 [1, 15]
Slope of the radial density distribution αr [1, 0.01] [0.01, 2.5] [0,1.5]
Slope of the polar dust density distribution αp [0.01, 6] [0,1.5]
Optical depth of each cloud τνi [10, 300]
Maximum dust grain size Psize [0.01, 10]

Distribution of the dust Smooth Clumpy Smooth and Clumpy

Notes. The inclination angle from Smooth is measured with respect to the equatorial plane; in the case of the Clumpy and Two-Phases torus models, these angles are measured with respect to the polar plane. The torus angular width is measured with respect to the equatorial plane in all models. The αr parameter is abbreviated as β, q, and p in the original works: Fritz et al. (2006), Nenkova et al. (2008a), González-Martín et al. (2023), respectively. The αp parameter is abbreviated as γ and q by Fritz et al. (2006) and González-Martín et al. (2023), respectively. The dust is distributed in these models following a variable radial power law and polar exponential density distribution of dust: ρ(r, θ)∝rαreαp|cos(σtor)|, where r and θ are polar coordinates.

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