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Table 2

Properties of the Fomalhaut exozodiacal disk derived from the fit to the data.

Properties Hot ring Warm belt
Approach 1 Approach 2 Approach 1 Approach 2

Density peak r0 [AU] 0.09* (0.231) 0.09* (0.231) 1.59 2.52
[1.62, 2.43] [1.54, 2.15]
Inner density slope αin + 10* + 10* + 10* +3
[+2.99, +7.52]
Outer density slope αout −6* −6* –1.0 −1.5*
[–3.62, –0.60]

Mass up to 1 mm [M] 2.5 × 10-10 2.6 × 10-10 2.86 × 10-6 1.87 × 10-6
[6.12 × 10-7,9.53 × 10-5] [1.14 × 10-6,7.81 × 10-5]
Maximum surface density [cm-2] 7.24 × 1011 7.46 × 1011 110 66.6
Maximum V-band optical depth τ3 2.2 × 10-3 2.3 × 10-3 9.8 × 10-5 1.2 × 10-4
Fractional luminosity LD/L 5.89 × 10-3 5.71 × 10-3 5.04 × 10-4 6.09 × 10-4

Composition C C Si+C Si+C
Minimum grain size [μm] 0.01 0.01 3.51 2.31
[1.37, 56.1] [0.99, 57.2]
Grain size slope –6 –6 –4.8 –4.06
[–6.0, –3.8] [–6.0, –3.7]
Typical temperatures [K]2 [2000, 2200] [2000, 2200] [403, 464] [326, 364]

χ2 (d.o.f. = 30) 46.9 47.9

Notes.Approach 1 labels the model with free outer slope, approach 2 that with free inner slope. Numbers in bold are the parameters of the smallest χ2 fits, while the intervals give the 1σ confidence intervals from the Bayesian analysis. The

(*)

exponent marks the fixed parameters.

(1)

Approximate density peak position of the smallest grains (they vanish below that distance).

(2)

Give range of temperatures at r0 from the smallest to 1 mm grains. For the hot ring, the temperature of the smallest grains is given at their sublimation distance.

(3)

The optical depth is directly proportional to the dust mass and therefore constitute another definition to this free parameter (given in V-band by convention).

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