Table 2: Overview of the model parameters and results of the clumpy models. Columns from left to right: model number, powerlaw index p for $\rho (R)\propto R^p$ , number of clumps, grain size distribution (either $0.25~\mu$ m or MRN distribution), temperature decoupling between silicate and carbon grains, inclusion of scattering opacity, optical depth of the clumps, the resulting width $\ensuremath {{\cal W}_1}$ of the face-on SED, $\ensuremath {{\cal W}_2}$ for the edge-on SED, the resulting 10 $\mu$ m feature strength $\ensuremath {{\cal S}_1}$ for the face-on SED and $\ensuremath {{\cal S}_2}$ for the edge-on SED and the resulting anisotropy parameter $\ensuremath {{\cal I}}$ . See text for definition of $\ensuremath {{\cal W}_1}$ , $\ensuremath {{\cal W}_2}$ , $\ensuremath {{\cal S}_1}$ , $\ensuremath {{\cal S}_2}$ and $\ensuremath {{\cal I}}$ . The optical depth of the clumps follows from the number of clumps, the distribution of clumps and the total mass of the torus, and is therefore not an independent parameter of the model, hence the separated column for the optical depth.
Model No. p $N_{{\rm clump}}$ GSD TD Scat $\tau_{{\rm clump}}$ $\ensuremath {{\cal W}_1}$ $\ensuremath {{\cal W}_2}$ $\ensuremath {{\cal S}_1}$ $\ensuremath {{\cal S}_2}$ $\ensuremath {{\cal I}}$

C1_a1 0 40 0.25 26 0.91 0.57 0.347 -1.585 0.176

C1_a2 0 40 0.25 26 0.91 0.63 0.377 -0.486 0.301

C1_b1 0 20 0.25 53 0.83 0.60 0.330 -0.396 0.250

C1_b2 0 20 0.25 51 0.77 0.66 0.433 0.039 0.294

C2_a1 -1 40 0.25 60 0.96 0.63 0.170 0.068 0.089

C2_a2 -1 40 0.25 60 1.05 0.63 0.117 -0.880 0.098

C2_b1 -1 20 0.25 105 1.00 0.66 0.318 -0.373 0.126

C2_b2 -1 20 0.25 115 1.17 0.92 0.150 -0.464 0.157

C3_a1 0 40 MRN $\surd$ $\surd$ 53 1.00 0.55 0.260 -0.953 0.161

C3_a2 0 40 MRN $\surd$ $\surd$ 53 0.92 0.63 0.263 -0.381 0.280

C3_b1 0 20 MRN $\surd$ $\surd$ 109 0.92 0.60 0.256 -0.257 0.240

C3_b2 0 20 MRN $\surd$ $\surd$ 104 0.83 0.66 0.320 -0.025 0.289

C4_a1 -1 40 MRN $\surd$ $\surd$ 123 1.05 0.63 0.131 -0.190 0.086

C4_a2 -1 40 MRN $\surd$ $\surd$ 123 1.05 0.75 0.059 -0.703 0.085

C4_b1 -1 20 MRN $\surd$ $\surd$ 214 1.09 0.66 0.245 -0.336 0.121

C4_b2 -1 20 MRN $\surd$ $\surd$ 235 1.17 0.71 0.091 -0.360 0.138

**Table 2:** Overview of the model parameters and results of the clumpy models. Columns from left to right: model number, powerlaw index p for $\rho (R)\propto R^p$ , number of clumps, grain size distribution (either $0.25~\mu$ m or MRN distribution), temperature decoupling between silicate and carbon grains, inclusion of scattering opacity, optical depth of the clumps, the resulting width $\ensuremath {{\cal W}_1}$ of the face-on SED, $\ensuremath {{\cal W}_2}$ for the edge-on SED, the resulting 10 $\mu$ m feature strength $\ensuremath {{\cal S}_1}$ for the face-on SED and $\ensuremath {{\cal S}_2}$ for the edge-on SED and the resulting anisotropy parameter $\ensuremath {{\cal I}}$ . See text for definition of $\ensuremath {{\cal W}_1}$ , $\ensuremath {{\cal W}_2}$ , $\ensuremath {{\cal S}_1}$ , $\ensuremath {{\cal S}_2}$ and $\ensuremath {{\cal I}}$ . The optical depth of the clumps follows from the number of clumps, the distribution of clumps and the total mass of the torus, and is therefore not an independent parameter of the model, hence the separated column for the optical depth.
Model No.	p	$N_{{\rm clump}}$	GSD	TD	Scat	$\tau_{{\rm clump}}$	$\ensuremath {{\cal W}_1}$	$\ensuremath {{\cal W}_2}$	$\ensuremath {{\cal S}_1}$	$\ensuremath {{\cal S}_2}$	$\ensuremath {{\cal I}}$

C1_a1	0	40	0.25			26	0.91	0.57	0.347	-1.585	0.176
C1_a2	0	40	0.25			26	0.91	0.63	0.377	-0.486	0.301
C1_b1	0	20	0.25			53	0.83	0.60	0.330	-0.396	0.250
C1_b2	0	20	0.25			51	0.77	0.66	0.433	0.039	0.294
C2_a1	-1	40	0.25			60	0.96	0.63	0.170	0.068	0.089
C2_a2	-1	40	0.25			60	1.05	0.63	0.117	-0.880	0.098
C2_b1	-1	20	0.25			105	1.00	0.66	0.318	-0.373	0.126
C2_b2	-1	20	0.25			115	1.17	0.92	0.150	-0.464	0.157
C3_a1	0	40	MRN	$\surd$	$\surd$	53	1.00	0.55	0.260	-0.953	0.161
C3_a2	0	40	MRN	$\surd$	$\surd$	53	0.92	0.63	0.263	-0.381	0.280
C3_b1	0	20	MRN	$\surd$	$\surd$	109	0.92	0.60	0.256	-0.257	0.240
C3_b2	0	20	MRN	$\surd$	$\surd$	104	0.83	0.66	0.320	-0.025	0.289
C4_a1	-1	40	MRN	$\surd$	$\surd$	123	1.05	0.63	0.131	-0.190	0.086
C4_a2	-1	40	MRN	$\surd$	$\surd$	123	1.05	0.75	0.059	-0.703	0.085
C4_b1	-1	20	MRN	$\surd$	$\surd$	214	1.09	0.66	0.245	-0.336	0.121
C4_b2	-1	20	MRN	$\surd$	$\surd$	235	1.17	0.71	0.091	-0.360	0.138

Source LaTeX | All tables | In the text

	1 Introduction
	2 Model setup
	3 Results and analysis
	4 Discussion
	5 Conclusion
	References