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Table C.1.

Best-fit results and 1σ confidence level range from the non-LTE LVG analysis for GMC10, GMC7, SSC5, GMC1a, and GMC1b, respectively (from top to bottom).

Species Component Ntot Range Ntot Tkin Range Tkin nH2 Range nH2 Size (θs) Range θs Range τLb
(cm−2) (cm−2) (K) (K) (cm−3) (cm−3) (″) (″)
GMC10

CS 1 1.7 × 1014 (1.5 − 3)×1014 8 7 − 9 ... ≥3 × 106 1.60a ≥1.00 ≤2.5
2 5 × 1013 (0.2 − 15)×1014 20 18 − 110 ... ≥3 × 105 1.60a ≥0.30 ≤0.3

H2S 1 1.2 × 1015 (0.6 − 3)×1015 40 30 − 82 ... ≥9 × 106 0.34a 0.20 − 0.50 0.01 − 0.1

H2CS 1 8 × 1014 (5.3 − 40)×1014 10 10 − 33 ... ≥2.5 × 104 0.20a 0.13 − 0.60 0.02 − 0.8

OCS 1 1.5 × 1016 (0.3 − 3)×1016 13 12 − 14 ... ≥2.2 × 104 0.13 0.11 − 0.25 0.3 − 1.4

SO 1 4 × 1014 (0.3 − 15)×1014 200 62 − 300c 6 × 104 (5 − 10)×104 ... ≥0.25 ≤0.1

GMC8a

CS 1 1.5 × 1015 (0.5 − 5)×15 7 6 − 8 1 × 106 (0.2 − 6)×106 1.60a ≥1.00 ≤ 2.4
2 1.5 × 1014 (1.2 − 6)×1014 100 20 − 105 3 × 105 (0.3 − 10)×106 1.60a ≥0.60 ≤0.3

H2CS 1 4 × 1016 (0.2 − 20)×1016 19 16 − 53 ... ≥3 × 103 0.12 0.11 − 0.30 0.2 − 4.0

OCS 1 1 × 1017 (0.2 − 1.5)×1017 15 14 − 16 ... ≥2 × 104 0.16 0.14 − 0.30 0.9 − 1.9

SO 1 1.5 × 1016 (0.5 − 4)×1016 250 40 − 300c 9 × 103 (6 − 20)×103 0.26 0.20 − 0.42 0.1 − 1.6

GMC7

CS 1 9 × 1015 (4 − 15)×1015 9 6 − 10 4 × 104 (0.3 − 15)×104 1.60a ≥1.50 ≤4.3
2 8 × 1014 (3 − 15)×1014 90 20 − 100 ... ≥3 × 105 1.60a ≥1.00 ≤0.4

H2S 1 1 × 1016 (0.8 − 1.4)×1016 25 22 − 159 1.2 × 107 (0.2 − 4)×107 0.34 0.28 − 0.38 0.05 − 0.4

H2CS 1 4 × 1016 (2 − 9.3)×1016 15 13 − 27 1.5 × 104 (0.5 − 3.5)×104 0.20 0.19 − 0.26 0.6 − 5.4
2 6.7 × 1015 (4 − 9.3)×1015 90 75 − 200 1 × 105 (0.7 − 1)×105 0.20a 0.15 − 0.25 0.03 − 0.3

OCS 1 5 × 1016 (0.3 − 15)×1016 40 31 − 60 ... ≥1.9 × 104 0.20 0.13 − 0.25 0.1 − 1.0

SO 1 5 × 1014 (3 − 15)×1014 12 11 − 15 ... ≥5 × 105 ... ≥1.50 ≤0.1
2 5 × 1015 (0.4 − 10)×1015 140 78 − 300 7 × 105 (5 − 20)×105 0.20a 0.15 − 0.80 0.01 − 0.2

SSC5

CS 1 1.5 × 1016 ≥2 × 1015 10 9 − 11 1 × 105 (0.3 − 5)×105 1.60a ≥1.60 ≤7.0
2 1.3 × 1015 (0.5 − 3)×1015 25 22 − 27 ... ≥5 × 106 1.60a ≥1.00 ≤0.7

H2S 1 2 × 1017 (1.4 − 3)×1017 70 57 − 96 ... ≥1.5 × 107 0.20 0.17 − 0.23 0.1 − 1.6

H2CS 1 2 × 1014 (1.3 − 80)×1014 12 10 − 15 ... ≥1.3 × 105 ... ≥0.25 ≤0.9
2 6.7 × 1015 (0.7 − 20)×1015 90 50 − 300c 1 × 106 (0.5 − 10)×106 0.16 0.10 − 0.50 0.02 − 0.5

OCS 1 3 × 1016 (2.5 − 3.5)×1016 35 29 − 38 ... ≥2.5 × 104 0.17a 0.16 − 0.18 0.1 − 0.2

SO 1 7 × 1014 (5 − 20)×1014 200 27 − 300c ... ≥8 × 104 ... ≥1.00 ≤0.1
2 8 × 1016 (6 − 10)×1016 80 55 − 260 1 × 106 (0.3 − 10)×106 0.15 0.13 − 0.17 0.1 − 1.0

GMC1a

CS 1 1.5 × 1015 (0.4 − 4)×1015 7 6 − 8 ... ≥1.5 × 106 1.60a ≥1.00 ≤3.0
2 3 × 1014 (1 − 3.5)×1014 75 50 − 85 ... ≥3 × 105 1.60a ≥1.50 ≤0.1

H2CS 1 2 × 1016 (0.5 − 5.3)×1016 12 11 − 33 ... ≥4 × 103 0.16 0.15 − 0.20 0.7 − 2.2

OCS 1 1.5 × 1017 (0.3 − 1.5)×1017 14 13 − 16 ... ≥3 × 104 0.17 0.15 − 0.25 1.0 − 3.0

SO 1 1.5 × 1016 (0.8 − 3)×1016 47 30 − 300c 1.5 × 104 (0.5 − 2)×104 0.30 0.24 − 0.40 0.1 − 1.6

GMC1b

CS 1 1.3 × 1015 (0.3 − 2)×1015 6 5 − 8 ... ≥1.7 × 106 1.60a ≥1.00 ≤1.3
2 1.5 × 1014 (0.5 − 6)×1014 85 35 − 92 2 × 105 (2 − 5)×105 1.60a ≥0.60 ≤0.15

H2CS 1 1.3 × 1016 (0.5 − 5.3)×1016 16 15 − 43 7 × 103 (0.3 − 20)×104 0.16 0.13 − 0.20 0.6 − 2.4

OCS 1 1 × 1017 (0.2 − 50)×1016 14 13 − 15 ... ≥2.2 × 105 0.17 0.15 − 0.25 0.2 − 2.4

SO 1 1 × 1016 (0.6 − 5)×1016 170 35 − 300c 1.5 × 104 (0.6 − 3)×104 0.28 0.24 − 0.36 0.2 − 1.2

Notes.

a

Initial fixed size assumed before exploring the range of similar solution (see text Sec.5.2.2)

b

Average value for the optical depths of all the transitions over the range of size θs.

c

Maximum limit due to the maximum temperature for which the collisional rates are available.

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