Table B.6
Fit coefficients (for our main fit and scatter fit) and fit quality for line intensity ratios in translucent medium conditions.
| Line intensity ratio | Main fit coefficients | R2 | RMSE | Max. abs. error | Scatter fit coefficients | Validity limits | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| fmax | a0 | a1 | a2 | a3 | a4 | a5 | dex | (equ. factor) | dex | (equ. factor) | b0 | b1 | b2 | b3 | b4 | b5 | min. | max. | ||
| C2H (1−0)/HCN (1−0) | –3.474(0) | 6.598(–1) | 6.384(–1) | –2.314(0) | –1.681(0) | –4.320(–1) | –3.817(–2) | 0.93 | 0.19 | (1.55) | 1.09 | (12.25) | –1.541(–2) | 3.633(–2) | 3.417(–1) | 3.043(–1) | 9.345(–2) | 9.524(–3) | –4.081 | 0.273 |
| C2H (1−0)/13CO (1−0) | –3.973(0) | 2.657(–1) | –7.172(0) | –6.245(0) | –1.818(0) | –2.233(–1) | –9.668(–3) | 0.92 | 0.21 | (1.62) | 1.20 | (15.82) | 6.962(–1) | 1.679(0) | 1.397(0) | 5.037(–1) | 8.171(–2) | 4.908(–3) | –5.529 | –0.643 |
| C2H (1−0)/C18O (1−0) | 1.911(0) | –5.969(0) | 4.842(–1) | 4.559(–1) | 4.676(–1) | 1.404(–1) | 1.303(–2) | 0.91 | 0.21 | (1.63) | 1.09 | (12.30) | 1.715(–2) | –1.452(–2) | 7.638(–2) | 5.710(–2) | 1.266(–2) | 8.749(–4) | –4.902 | 0.369 |
| C18O (1−0)/CF+ (1−0) | –3.840(0) | 1.962(0) | –4.187(0) | 5.215(0) | –4.202(0) | 1.448(0) | –1.744(–1) | 0.89 | 0.24 | (1.75) | 1.00 | (10.02) | 2.952(–3) | 1.324(–2) | 8.212(–2) | –2.444(–3) | –2.985(–2) | 7.030(–3) | –1.695 | 3.172 |
| C2H (1−0)/HNC (1−0) | –3.623(0) | –3.627(–1) | 8.444(–1) | –2.051(–1) | –3.929(–2) | 5.314(–2) | 1.185(–2) | 0.87 | 0.27 | (1.85) | 1.17 | (14.88) | 1.068(–1) | –5.354(–2) | –4.733(–2) | 1.029(–2) | 6.327(–3) | 3.901(–4) | –3.596 | 2.228 |
| SO (3−2)/HCS+ (2−1) | –3.954(0) | 6.092(–1) | –1.066(0) | 1.852(0) | –1.834(0) | 6.183(–1) | –6.828(–2) | 0.85 | 0.28 | (1.90) | 1.14 | (13.65) | 2.658(–2) | 1.019(–1) | 4.823(–2) | –3.205(–2) | –1.002(–2) | 3.634(–3) | –1.758 | 3.671 |
| 13CO (1−0)/C18O (1−0) | –4.114(0) | –1.185(1) | 7.634(1) | –2.225(2) | 3.014(2) | –1.835(2) | 4.095(1) | 0.84 | 0.29 | (1.94) | 1.08 | (12.08) | –3.072(0) | 1.340(1) | –2.181(1) | 1.718(1) | –6.584(0) | 9.807(–1) | 0.504 | 1.603 |
| SO (3−2)/C2H (1−0) | –3.909(0) | –7.841(–1) | –5.734(–1) | –7.304(–3) | 2.501(–2) | 2.095(–3) | –9.363(–4) | 0.80 | 0.32 | (2.11) | 1.23 | (17.18) | 1.771(–1) | –2.883(–2) | –2.118(–2) | 1.454(–3) | 6.016(–4) | –3.513(–6) | –5.968 | 4.967 |
| C2H (1−0)/CN (1−0) | 6.415(0) | –1.077(1) | 3.854(–1) | 2.471(–1) | 8.541(–1) | 4.505(–1) | 6.662(–2) | 0.78 | 0.34 | (2.18) | 1.20 | (15.91) | 7.188(–2) | –2.570(–1) | 1.165(–1) | 4.372(–1) | 2.106(–1) | 2.931(–2) | –3.177 | 0.318 |
| C2H (1−0)/HCO+ (1−0) | –3.984(0) | 5.832(–1) | 6.705(–1) | –7.908(–2) | 1.345(–1) | 7.862(–2) | 9.885(–3) | 0.77 | 0.35 | (2.23) | 1.42 | (26.35) | 1.084(–1) | –1.346(–1) | 1.495(–2) | 4.138(–2) | 4.806(–3) | –4.845(–4) | –4.399 | 1.597 |
| HCN (1−0)/CF+ (1−0) | –3.864(0) | 1.659(0) | –5.861(0) | 1.230(1) | –1.490(1) | 7.509(0) | –1.318(0) | 0.77 | 0.35 | (2.23) | 1.21 | (16.05) | 1.260(–3) | 1.742(–1) | 2.160(–1) | –1.679(–1) | –8.601(–2) | 4.790(–2) | –1.715 | 2.062 |
| HCO+ (1−0)/CF+ (1−0) | –4.154(0) | 9.872(–1) | –2.395(–1) | –5.629(–1) | –2.091(0) | 1.806(0) | –3.754(–1) | 0.76 | 0.35 | (2.25) | 1.34 | (21.88) | 1.221(–1) | 8.695(–2) | 1.088(–1) | –4.521(–2) | –8.987(–2) | 3.306(–2) | –1.380 | 2.566 |
| HNC (1−0)/CF+ (1−0) | –2.083(0) | –2.448(0) | –5.945(–1) | –2.719(–1) | –5.546(–2) | 4.506(–2) | 1.463(–2) | 0.76 | 0.36 | (2.27) | 1.35 | (22.48) | 1.903(–1) | 9.399(–2) | –1.069(–1) | –4.576(–2) | 1.550(–2) | 5.941(–3) | –1.974 | 2.051 |
| 13CO (1−0)/CF+ (1−0) | –3.893(0) | 3.384(1) | –6.341(1) | 5.033(1) | –2.025(1) | 3.971(0) | –3.016(–1) | 0.76 | 0.36 | (2.26) | 1.56 | (36.03) | 2.188(–1) | –8.211(–2) | –8.658(–1) | 9.356(–1) | –3.158(–1) | 3.412(–2) | –0.203 | 3.755 |
| CN (1−0)/CF+ (1−0) | –3.853(0) | 4.168(–1) | –3.398(0) | 1.588(1) | –3.864(1) | 3.277(1) | –9.017(0) | 0.75 | 0.37 | (2.32) | 1.40 | (24.87) | 8.622(–2) | 3.146(–1) | 2.333(–2) | –3.975(–1) | –2.909(–2) | 1.198(–1) | –1.536 | 1.542 |
| H2CS (3−2)/C2H (1−0) | –3.983(0) | –1.893(0) | –1.921(–1) | 1.043(–1) | –1.803(–2) | –8.856(–3) | –7.804(–4) | 0.75 | 0.36 | (2.31) | 1.24 | (17.45) | 8.301(–3) | –1.115(–1) | 2.225(–2) | 1.833(–2) | 2.440(–3) | 8.376(–5) | –7.161 | 1.612 |
| SO (3−2)/CF+ (1−0) | –3.961(0) | –9.262(–1) | –7.186(–1) | 2.040(–2) | 5.801(–2) | 4.632(–4) | –2.885(–3) | 0.75 | 0.37 | (2.32) | 1.26 | (18.32) | 2.149(–1) | –6.064(–2) | –4.249(–2) | 2.179(–3) | 2.409(–3) | 2.162(–4) | –6.954 | 3.493 |
| CS (2−1)/SO (3−2) | –2.351(0) | –2.507(0) | 1.054(0) | –9.533(–1) | –1.716(–1) | 4.825(–1) | –1.206(–1) | 0.69 | 0.40 | (2.52) | 1.85 | (70.93) | 3.143(–1) | –9.099(–2) | –2.967(–1) | 1.701(–1) | 2.099(–2) | –1.772(–2) | –1.102 | 2.641 |
| C2H (1−0)/CF+ (1−0) | –1.031(0) | –3.408(0) | 5.487(–1) | –2.625(–1) | 2.109(0) | 2.149(0) | 5.333(–1) | 0.68 | 0.41 | (2.56) | 2.30 | (199.69) | 1.201(–1) | –4.769(–1) | 2.133(–1) | 1.137(0) | 6.275(–1) | 8.939(–2) | –1.939 | 0.456 |
| CS (2−1)/C2H (1−0) | –3.945(0) | –3.822(–1) | –7.675(–1) | –9.786(–2) | 5.125(–2) | 1.053(–2) | –2.883(–3) | 0.68 | 0.41 | (2.56) | 1.29 | (19.42) | 2.713(–1) | –3.205(–3) | –5.462(–2) | –4.568(–4) | 2.535(–3) | –3.266(–5) | –3.767 | 4.069 |
| SO (3−2)/CN (1−0) | –4.057(0) | –1.310(0) | –7.640(–1) | 1.827(–1) | 7.806(–2) | –1.538(–2) | –5.992(–3) | 0.67 | 0.42 | (2.60) | 1.27 | (18.80) | 2.024(–1) | –1.670(–1) | –6.207(–2) | 1.774(–2) | 7.736(–3) | 6.638(–4) | –4.935 | 2.531 |
| SO (3−2)/HCN (1−0) | –4.035(0) | –1.669(0) | –5.130(–1) | 3.117(–1) | 1.948(–2) | –4.429(–2) | –8.056(–3) | 0.66 | 0.42 | (2.64) | 1.39 | (24.50) | 9.314(–2) | –2.264(–1) | –9.914(–3) | 5.106(–2) | 1.414(–2) | 1.088(–3) | –5.496 | 1.583 |
| HCS+ (2−1)/C2H (1−0) | –4.002(0) | –1.881(0) | –4.844(–1) | 4.778(–1) | 4.116(–2) | –6.703(–2) | –1.274(–2) | 0.62 | 0.45 | (2.79) | 2.00 | (100.98) | 3.917(–2) | –1.232(–1) | 6.014(–2) | 1.073(–2) | –1.155(–2) | –2.075(–3) | –3.699 | 0.034 |
| HCN (1−0)/HNC (1−0) | –3.986(0) | –1.925(0) | 7.150(–1) | 1.800(1) | –3.703(1) | 2.622(1) | –6.001(0) | 0.63 | 0.44 | (2.76) | 1.39 | (24.67) | 2.204(–2) | 6.159(–1) | 8.799(–1) | –2.688(0) | 1.746(0) | –3.502(–1) | –0.065 | 2.008 |
| SO (3−2)/13CO (1−0) | –4.173(0) | –1.791(0) | –4.388(–1) | –7.894(–1) | –6.634(–1) | –1.676(–1) | –1.352(–2) | 0.63 | 0.44 | (2.78) | 1.39 | (24.52) | 1.574(–2) | 3.669(–1) | 5.426(–1) | 2.042(–1) | 2.994(–2) | 1.537(–3) | –4.955 | –0.228 |
| H2CS (3−2)/CF+ (1−0) | –4.104(0) | –1.775(0) | –3.032(–1) | –6.913(–2) | –4.420(–2) | –3.797(–3) | –5.305(–7) | 0.59 | 0.47 | (2.93) | 1.40 | (25.37) | 2.041(–2) | –5.507(–2) | 1.255(–1) | 5.418(–2) | 6.992(–3) | 2.863(–4) | –7.051 | –0.406 |
| CS (2−1)/HCS+ (2−1) | –3.662(0) | 3.512(1) | –9.714(1) | 1.078(2) | –5.878(1) | 1.542(1) | –1.553(0) | 0.58 | 0.47 | (2.93) | 1.47 | (29.45) | –3.111(0) | 1.456(1) | –2.398(1) | 1.770(1) | –5.900(0) | 7.213(–1) | 0.852 | 2.460 |
| C18O (1−0)/CN (1−0) | –3.852(0) | 1.244(0) | –2.141(0) | –2.632(–1) | –6.854(–2) | 3.998(–1) | –1.186(–1) | 0.56 | 0.48 | (3.02) | 1.66 | (46.05) | 6.330(–2) | 4.472(–1) | 1.394(–1) | –6.256(–1) | 3.127(–1) | –4.568(–2) | –0.348 | 2.021 |
| SO (3− 2)/HNC (1− 0) | –4.216(0) | –1.118(0) | –1.061(0) | 3.940(–1) | 1.831(–1) | –6.152(–2) | –2.416(–2) | 0.53 | 0.50 | (3.13) | 1.37 | (23.28) | 2.624(–1) | –3.132(–1) | –1.328(–1) | 6.489(–2) | 3.354(–2) | 3.645(–3) | –3.649 | 1.672 |
| HCO+ (1− 0)/CN (1− 0) | –1.118(0) | –3.481(0) | –3.633(–1) | –6.051(–1) | –6.039(–1) | 1.302(–1) | 1.776(–1) | 0.50 | 0.51 | (3.25) | 2.61 | (409.10) | 1.382(–1) | 8.082(–1) | 7.290(–2) | –7.536(–1) | –8.144(–2) | 1.482(–1) | –1.183 | 0.729 |
| SO (3− 2)/C18O (1− 0) | –4.051(0) | –1.883(0) | –2.375(–1) | 6.632(–1) | 2.176(–1) | 1.139(–2) | –1.918(–3) | 0.52 | 0.50 | (3.20) | 1.41 | (25.55) | 1.080(–3) | –2.984(–1) | 1.167(–1) | 1.399(–1) | 3.361(–2) | 2.502(–3) | –4.359 | 0.330 |
| CS (2− 1)/CF+ (1− 0) | –3.977(0) | –6.552(–1) | –8.417(–1) | –6.468(–2) | 8.677(–2) | 1.219(–2) | –6.424(–3) | 0.51 | 0.51 | (3.23) | 1.43 | (26.99) | 4.100(–1) | –1.382(–2) | –1.186(–1) | –1.136(–2) | 7.840(–3) | 1.231(–3) | –3.656 | 2.409 |
Notes. We list the fit coefficients for predicting log10(x(e−) (according to the fit formula given in Eq. (3)), the quality of this fit estimated as the (cross-validated) R2, root mean square error (RMSE) on log10(x(e−) and corresponding error factor on x(e−), maximum absolute error factor on log10(x(e−)) and corresponding error factor on x(e−), the fit coefficients for estimating the uncertainty on the prediction (according to the fit formula given in Eq. (4)), and the validity range of the fit (given as log10 of the ratio values).
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