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Table E.1

Results of the PDR models with subsolar metallicities for M 33 (cf. Sect. 6).

Av nH X(HCO+)a X(HCN)a X(CO)a HCN/CO HCO+/CO HCO+/HCN
(mag) (cm-3) % %

G0 = 10
2.0 1 × 103 –10.8 –11.7 –7.4 1.11 19.57 17.63
2.0 5 × 103 –11.2 –10.7 –6.1 0.65 0.47 0.73
2.0 1 × 104 –11.3 –10.4 –5.6 0.40 0.14 0.34
2.0 5 × 104 –11.1 –9.9 –4.6 0.22 0.04 0.19
2.0 1 × 105 –11.0 –9.7 –4.4 0.26 0.04 0.14
2.0 5 × 105 –11.2 –9.3 –4.1 0.42 0.02 0.04
2.0 1 × 106 –11.2 –9.2 –4.1 0.47 0.01 0.02
4.0 1 × 103 –10.8 –10.9 –5.7 0.19 0.46 2.43
4.0 5 × 103 –11.0 –10.3 –4.7 0.13 0.06 0.43
4.0 1 × 104 –11.0 –10.1 –4.4 0.18 0.05 0.27
4.0 5 × 104 –11.1 –9.7 –4.2 0.37 0.04 0.11
4.0 1 × 105 –11.1 –9.5 –4.1 0.48 0.04 0.08
4.0 5 × 105 –11.3 –9.3 –4.0 0.73 0.02 0.03
4.0 1 × 106 –11.4 –9.3 –4.0 0.79 0.01 0.02
6.0 1 × 103 –10.5 –10.5 –5.4 0.39 0.68 1.73
6.0 5 × 103 –10.7 –10.0 –4.5 0.30 0.16 0.54
6.0 1 × 104 –10.6 –9.9 –4.3 0.38 0.15 0.40
6.0 5 × 104 –10.7 –9.6 –4.1 0.61 0.12 0.20
6.0 1 × 105 –10.8 –9.5 –4.1 0.71 0.10 0.14
6.0 5 × 105 –11.1 –9.4 –4.0 0.89 0.05 0.06
6.0 1 × 106 –11.2 –9.4 –4.0 0.91 0.04 0.04
10.0 1 × 103 –9.2 –9.0 –4.5 6.10 8.22 1.35
10.0 5 × 103 –9.4 –9.2 –4.2 2.36 3.14 1.33
10.0 1 × 104 –9.6 –9.3 –4.1 1.79 2.02 1.13
10.0 5 × 104 –10.1 –9.4 –4.0 1.62 0.80 0.49
10.0 1 × 105 –10.3 –9.3 –4.0 1.61 0.56 0.35
10.0 5 × 105 –10.6 –9.4 –4.0 1.33 0.24 0.18
10.0 1 × 106 –10.8 –9.5 –4.0 1.21 0.17 0.14
16.0 1 × 103 –8.6 –8.3 –4.2 14.29 15.42 1.08
16.0 5 × 103 –9.1 –8.6 –4.1 7.98 7.25 0.91
16.0 1 × 104 –9.3 –8.6 –4.0 7.42 5.05 0.68
16.0 5 × 104 –9.8 –8.7 –4.0 6.71 2.20 0.33
16.0 1 × 105 –10.0 –8.9 –4.0 5.86 1.60 0.27
16.0 5 × 105 –10.3 –9.2 –4.0 3.30 0.74 0.22
16.0 1 × 106 –10.5 –9.3 –3.9 2.52 0.52 0.20
26.0 1 × 103 –8.4 –8.1 –4.1 15.30 17.49 1.14
26.0 5 × 103 –8.9 –8.4 –4.0 10.34 10.55 1.02
26.0 1 × 104 –9.2 –8.4 –4.0 10.14 8.30 0.82
26.0 5 × 104 –9.7 –8.5 –4.0 10.81 4.32 0.40
26.0 1 × 105 –9.9 –8.7 –4.0 10.45 3.24 0.31
26.0 5 × 105 –10.2 –9.1 –3.9 6.79 1.56 0.23
26.0 1 × 106 –10.4 –9.2 –3.9 5.06 1.10 0.22
40.0 1 × 103 –8.3 –8.1 –4.0 15.52 19.00 1.23
40.0 5 × 103 –8.9 –8.4 –4.0 11.44 12.98 1.14
40.0 1 × 104 –9.1 –8.4 –4.0 11.59 11.11 0.96
40.0 5 × 104 –9.6 –8.5 –3.9 13.63 6.79 0.50
40.0 1 × 105 –9.8 –8.6 –3.9 14.05 5.25 0.37
40.0 5 × 105 –10.2 –9.0 –3.9 10.59 2.63 0.25
40.0 1 × 106 –10.3 –9.2 –3.9 8.08 1.86 0.23
50.0 1 × 103 –8.2 –8.1 –4.0 15.51 19.81 1.28
50.0 5 × 103 –8.8 –8.3 –4.0 11.89 14.17 1.19
50.0 1 × 104 –9.1 –8.3 –4.0 12.23 12.53 1.02
50.0 5 × 104 –9.6 –8.4 –3.9 14.97 8.28 0.55
50.0 1 × 105 –9.8 –8.6 –3.9 15.82 6.54 0.41
50.0 5 × 105 –10.1 –9.0 –3.9 12.80 3.35 0.26
50.0 1 × 106 –10.3 –9.2 –3.9 9.96 2.39 0.24

G0 = 50
2.0 1 × 103 –11.1 –13.0 –8.7 1.19 219.55 185.29
2.0 5 × 103 –11.3 –11.7 –7.6 2.38 15.95 6.71
2.0 1 × 104 –11.4 –11.2 –7.1 2.29 4.48 1.95
2.0 5 × 104 –11.4 –10.4 –5.8 0.98 0.37 0.38
2.0 1 × 105 –10.9 –10.2 –5.2 0.53 0.33 0.61
2.0 5 × 105 –11.0 –9.6 –4.5 0.27 0.04 0.13
2.0 1 × 106 –11.1 –9.4 –4.3 0.29 0.02 0.06
4.0 1 × 103 –11.0 –11.6 –6.7 0.24 2.34 9.64
4.0 5 × 103 –11.2 –10.8 –5.3 0.11 0.09 0.75
4.0 1 × 104 –11.3 –10.5 –4.9 0.10 0.04 0.40
4.0 5 × 104 –11.2 –10.0 –4.4 0.18 0.03 0.16
4.0 1 × 105 –11.0 –9.8 –4.3 0.24 0.04 0.18
4.0 5 × 105 –11.2 –9.5 –4.1 0.40 0.02 0.05
4.0 1 × 106 –11.3 –9.4 –4.1 0.45 0.01 0.03
6.0 1 × 103 –10.8 –11.0 –5.8 0.20 0.57 2.81
6.0 5 × 103 –11.0 –10.4 –4.8 0.14 0.09 0.59
6.0 1 × 104 –11.0 –10.2 –4.5 0.18 0.07 0.38
6.0 5 × 104 –11.1 –9.8 –4.2 0.34 0.05 0.16
6.0 1 × 105 –11.0 –9.7 –4.1 0.41 0.06 0.15
6.0 5 × 105 –11.2 –9.5 –4.1 0.57 0.03 0.05
6.0 1 × 106 –11.3 –9.4 –4.0 0.59 0.02 0.03
10.0 1 × 103 –10.2 –10.0 –5.1 1.06 1.41 1.33
10.0 5 × 103 –9.8 –9.6 –4.3 1.02 1.54 1.51
10.0 1 × 104 –9.9 –9.7 –4.2 0.84 1.08 1.29
10.0 5 × 104 –10.3 –9.7 –4.1 0.74 0.48 0.65
10.0 1 × 105 –10.4 –9.6 –4.0 0.75 0.36 0.48
10.0 5 × 105 –10.8 –9.6 –4.0 0.77 0.14 0.18
10.0 1 × 106 –10.9 –9.5 –4.0 0.74 0.09 0.12
16.0 1 × 103 –8.7 –8.4 –4.3 13.57 14.65 1.08
16.0 5 × 103 –9.2 –8.8 –4.1 6.49 6.21 0.96
16.0 1 × 104 –9.4 –8.8 –4.1 5.54 4.16 0.75
16.0 5 × 104 –9.9 –9.0 –4.0 4.23 1.80 0.43
16.0 1 × 105 –10.0 –9.1 –4.0 3.43 1.31 0.38
16.0 5 × 105 –10.4 –9.4 –4.0 1.79 0.55 0.31
16.0 1 × 106 –10.5 –9.5 –4.0 1.38 0.36 0.26
26.0 1 × 103 –8.4 –8.2 –4.1 15.23 17.30 1.14
26.0 5 × 103 –9.0 –8.5 –4.0 9.56 9.90 1.04
26.0 1 × 104 –9.2 –8.5 –4.0 8.88 7.56 0.85
26.0 5 × 104 –9.7 –8.7 –4.0 8.42 3.97 0.47
26.0 1 × 105 –9.8 –8.8 –4.0 7.58 2.97 0.39
26.0 5 × 105 –10.2 –9.2 –4.0 4.22 1.30 0.31
26.0 1 × 106 –10.3 –9.3 –4.0 3.02 0.85 0.28
40.0 1 × 103 –8.3 –8.1 –4.0 15.47 18.89 1.22
40.0 5 × 103 –8.9 –8.4 –4.0 10.74 12.44 1.16
40.0 1 × 104 –9.1 –8.4 –4.0 10.36 10.40 1.00
40.0 5 × 104 –9.6 –8.6 –4.0 11.18 6.47 0.58
40.0 1 × 105 –9.8 –8.7 –4.0 10.91 5.01 0.46
40.0 5 × 105 –10.1 –9.1 –3.9 6.97 2.27 0.33
40.0 1 × 106 –10.3 –9.3 –3.9 5.03 1.50 0.30
50.0 1 × 103 –8.2 –8.1 –4.0 15.46 19.72 1.28
50.0 5 × 103 –8.8 –8.4 –4.0 11.22 13.68 1.22
50.0 1 × 104 –9.1 –8.4 –4.0 10.99 11.84 1.08
50.0 5 × 104 –9.6 –8.5 –4.0 12.46 8.00 0.64
50.0 1 × 105 –9.7 –8.7 –4.0 12.57 6.30 0.50
50.0 5 × 105 –10.1 –9.1 –3.9 8.65 2.92 0.34
50.0 1 × 106 –10.2 –9.2 –3.9 6.33 1.95 0.31

G0 = 100
2.0 1 × 103 –11.2 –13.6 –9.3 1.08 536.12 498.10
2.0 5 × 103 –11.4 –12.4 –8.4 2.97 69.85 23.49
2.0 1 × 104 –11.4 –11.9 –7.8 3.43 23.10 6.74
2.0 5 × 104 –11.5 –10.9 –6.5 2.10 1.76 0.84
2.0 1 × 105 –11.0 –10.6 –6.0 1.21 1.66 1.37
2.0 5 × 105 –10.7 –10.0 –4.9 0.28 0.16 0.56
2.0 1 × 106 –11.0 –9.8 –4.6 0.22 0.03 0.13
4.0 1 × 103 –11.1 –12.1 –7.2 0.29 6.97 23.75
4.0 5 × 103 –11.3 –11.1 –5.9 0.18 0.24 1.31
4.0 1 × 104 –11.4 –10.7 –5.3 0.13 0.07 0.58
4.0 5 × 104 –11.3 –10.2 –4.6 0.14 0.03 0.20
4.0 1 × 105 –11.1 –10.0 –4.4 0.18 0.04 0.23
4.0 5 × 105 –10.9 –9.6 –4.2 0.28 0.03 0.11
4.0 1 × 106 –11.2 –9.5 –4.2 0.32 0.01 0.04
6.0 1 × 103 –11.0 –11.2 –6.0 0.15 0.57 3.73
6.0 5 × 103 –11.1 –10.6 –4.9 0.10 0.07 0.68
6.0 1 × 104 –11.1 –10.3 –4.6 0.13 0.05 0.43
6.0 5 × 104 –11.2 –10.0 –4.3 0.24 0.04 0.17
6.0 1 × 105 –11.1 –9.8 –4.2 0.29 0.05 0.17
6.0 5 × 105 –11.0 –9.6 –4.1 0.41 0.04 0.09
6.0 1 × 106 –11.3 –9.5 –4.1 0.44 0.02 0.04
10.0 1 × 103 –10.3 –10.1 –5.3 0.92 1.27 1.39
10.0 5 × 103 –10.0 –9.8 –4.4 0.72 0.93 1.30
10.0 1 × 104 –10.1 –9.8 –4.3 0.64 0.74 1.16
10.0 5 × 104 –10.4 –9.7 –4.1 0.59 0.37 0.63
10.0 5 × 105 –10.8 –9.6 –4.0 0.58 0.12 0.21
10.0 1 × 106 –11.0 –9.6 –4.0 0.56 0.07 0.12
16.0 1 × 103 –8.8 –8.5 –4.3 13.03 14.15 1.08
16.0 5 × 103 –9.2 –8.9 –4.2 5.81 5.81 1.00
16.0 1 × 104 –9.4 –8.9 –4.1 4.71 3.81 0.81
16.0 5 × 104 –9.9 –9.1 –4.0 3.32 1.64 0.50
16.0 1 × 105 –10.0 –9.2 –4.0 2.62 1.19 0.45
16.0 5 × 105 –10.4 –9.5 –4.0 1.35 0.49 0.36
16.0 1 × 106 –10.5 –9.5 –4.0 1.04 0.30 0.29
26.0 1 × 103 –8.4 –8.2 –4.1 15.16 17.18 1.13
26.0 5 × 103 –9.0 –8.5 –4.1 9.34 9.75 1.04
26.0 1 × 104 –9.2 –8.5 –4.0 8.40 7.31 0.87
26.0 5 × 104 –9.7 –8.7 –4.0 7.50 3.84 0.51
26.0 1 × 105 –9.8 –8.9 –4.0 6.53 2.87 0.44
26.0 5 × 105 –10.2 –9.2 –4.0 3.42 1.21 0.35
26.0 1 × 106 –10.3 –9.4 –4.0 2.42 0.77 0.32
40.0 1 × 103 –8.3 –8.1 –4.1 15.43 18.82 1.22
40.0 5 × 103 –8.9 –8.4 –4.0 10.58 12.39 1.17
40.0 1 × 104 –9.1 –8.4 –4.0 9.92 10.21 1.03
40.0 5 × 104 –9.6 –8.6 –4.0 10.22 6.38 0.62
40.0 1 × 105 –9.7 –8.8 –4.0 9.69 4.92 0.51
40.0 5 × 105 –10.1 –9.1 –4.0 5.80 2.14 0.37
40.0 1 × 106 –10.2 –9.3 –3.9 4.12 1.37 0.33
50.0 1 × 103 –8.3 –8.1 –4.0 15.49 19.71 1.27
50.0 5 × 103 –8.8 –8.4 –4.0 11.06 13.65 1.23
50.0 1 × 104 –9.1 –8.4 –4.0 10.55 11.67 1.11
50.0 5 × 104 –9.5 –8.6 –4.0 11.47 7.93 0.69
50.0 1 × 105 –9.7 –8.7 –4.0 11.28 6.23 0.55
50.0 5 × 105 –10.1 –9.1 –3.9 7.26 2.76 0.38
50.0 1 × 106 –10.2 –9.3 –3.9 5.23 1.78 0.34

Notes. .

(a)

Logarithmic relative abundance X(mol) = log  (N(mol)/N(H2))

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