Spectral indices of SEDs obtained considering clouds with Mix 1:50 grains and central densities nC = 105, 106, 107, 108, 109, and 1010 H cm−3 (Eq. (2)), plotted in orange, green, red, blue, brown, and magenta, respectively. From top to bottom: the spectral indices are computed between ALMA bands 6 and 7 (centred at 1.3 and 0.87 mm, respectively), ALMA bands 3 and 4 (centred at 2.8 and 1.9 mm, respectively), ALMA band 3 and K band at 23 GHz (≡1.3 cm), and ALMA band 3 and X band at 12 GHz (≡2.5 cm). Left: cloud externally illuminated by the standard ISRF alone. Right: cloud with an additional internal heating source (see Sect. 2.3 for details).
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