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Interferometric observations of pre-main sequence disks - Caltech ...

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1.3 Grain growth and planetary formation 17<br />

rich in vibrational resonances <strong>of</strong> many dust species. In <strong>disks</strong> around HAe and TTS,<br />

this dust features are generally seen in emission and are thought to originate in the<br />

optically thin disk surface layer, directly illuminated by the stellar radiation (Calvet et<br />

al., 1991; Chiang and Goldreich, 1997). The more common features observed around<br />

TTS and HAe stars are those <strong>of</strong> amorphous and crystalline silicates, located around<br />

10µm and 20µm. Recent Spitzer data (e.g. Furlan et al., 2006) show a large variation<br />

in the strength and shape <strong>of</strong> this features, confirming the correlation firstly identified by<br />

van Boekel et al. (2005): weaker is the feature flatter is its shape. This is inter<strong>pre</strong>ted in<br />

terms <strong>of</strong> the growth <strong>of</strong> silicate grains from sub-micron to micron sizes; if grains grow<br />

further, the silicate emission disappears.<br />

The <strong>pre</strong>sence <strong>of</strong> crystalline grains around HAe and TTS stars implies that the pris-<br />

tine material underwent a drastic change in its structure due to some, not yet known,<br />

energetic process. Using spectrally resolved mid-infrared interferometry, van Boekel et<br />

al. (2004) showed for the first time that the disk surface inside 1-2 AU around three HAe<br />

stars is much more crystalline than the outer disk surface, supporting the idea that crys-<br />

tallization occurs in the inner disk (Gail, 2004). However crystalline silicates are also<br />

<strong>pre</strong>sent at larger distances (∼ 20 AU), and in the comets in our Solar System, suggesting<br />

that the radial drift can have an effective role in the dust evolution within circumstellar<br />

<strong>disks</strong>.<br />

At millimetric and centimetric wavelengths <strong>disks</strong> become optically thin to their own<br />

thermal radiation and the <strong>observations</strong> can probe the bulk <strong>of</strong> the dust mass concentrated<br />

on the disk mid plane. The SED <strong>of</strong> the continuum emission at these wavelengths can be<br />

directly related to the grain emissivity which, in turn, depends on the grain properties.<br />

The millimetric dust opacity can be approximated by a power law, k∼λ −β , where the<br />

exponentβdepends strongly on the grain size distribution and on its upper limit. In<br />

a size distribution composed only by grains larger than the observing wavelength, i.e.<br />

centimeter size grains, the dust opacity is grey andβ=0, whileβis close or larger than<br />

unity only for sub-millimeter grains (see Fig. 1.3). If the disk emission is optically thin<br />

(τν≪1) and the Reyleigh-Jeans approximation is verified (Bν(T)∝λ −2 ), the emitted

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