Dust opacity spectral index β between 0.88 and 8 mm as a function of the maximum dust grain size amax. The solid line refers to our dust composition (q = 3, 5.4% astronomical silicates, 20.6% carbonaceous material, 44% water ice, and 30% vacuum), whereas the dashed line refers to the dust composition used by Pérez et al. (2012) (q = 3.5, 7.7% astronomical silicates, 29.5% carbonaceous material, 62.8% water ice).
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