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Observational Constraints on The Evolution of Dust in ...

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Evoluti<strong>on</strong> <strong>of</strong> <strong>Dust</strong> <strong>in</strong> Protoplanetary Disks 91<br />

Figure 4.8 – IRS spectra <strong>of</strong> the disk sources <strong>in</strong> Serpens, c<strong>on</strong>td.<br />

between 0.1 and ∼6 µm. Those models are overplotted <strong>in</strong> the left panel <strong>of</strong> Figure<br />

4.9, with open symbols corresp<strong>on</strong>d<strong>in</strong>g to different gra<strong>in</strong> sizes. <strong>The</strong> comparis<strong>on</strong> <strong>of</strong> the<br />

data presented here with these models shows that the majority <strong>of</strong> our sample lies <strong>in</strong> a<br />

regi<strong>on</strong> c<strong>on</strong>sistent with an opacity dom<strong>in</strong>ated by gra<strong>in</strong>s with sizes larger than 2.0 µm,<br />

hav<strong>in</strong>g no features c<strong>on</strong>sistent with gra<strong>in</strong> sizes smaller than 1.5 µm. A c<strong>on</strong>siderable<br />

fracti<strong>on</strong> <strong>of</strong> the sample is c<strong>on</strong>sistent with gra<strong>in</strong>s as large as 6 µm (the largest gra<strong>in</strong> size<br />

modeled). <strong>The</strong> precise sizes depend <strong>on</strong> compositi<strong>on</strong> and treatment <strong>of</strong> the opacities,<br />

but sizes <strong>of</strong> a few µm are clearly implicated. It is important to note that crystall<strong>in</strong>ity<br />

also affects the shape <strong>of</strong> silicate features. However, as shown by Apai et al. (2005)<br />

and Ol<strong>of</strong>ss<strong>on</strong> et al. (2009), the effect <strong>of</strong> crystall<strong>in</strong>ity is orthog<strong>on</strong>al to that <strong>of</strong> gra<strong>in</strong><br />

sizes <strong>in</strong> the strength versus shape plot (Figure 4.9). Gra<strong>in</strong> sizes are found to be<br />

the dom<strong>in</strong>ant parameter chang<strong>in</strong>g the shape <strong>of</strong> the 10 µm silicate feature, whereas<br />

crystall<strong>in</strong>ity <strong>in</strong>troduces scatter (Figure 13 <strong>of</strong> Ol<strong>of</strong>ss<strong>on</strong> et al. 2009).<br />

All cold disks present silicate features <strong>in</strong> emissi<strong>on</strong>. Accord<strong>in</strong>g to the models <strong>of</strong><br />

gra<strong>in</strong> sizes (the left panel <strong>of</strong> Figure 4.9), the cold disks <strong>in</strong> this sample have gra<strong>in</strong>s<br />

bigger than 2.7 µm, with the bulk <strong>of</strong> the sample present<strong>in</strong>g gra<strong>in</strong>s as big as 6.0 µm,

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