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Table B.1.
Polynomial coefficients of the fitting functions presented in Section 2.5.
| Relation | Z | [Z] | a | b | c | d | e | f | |
|---|---|---|---|---|---|---|---|---|---|
| ψ–LHα | 9.0 × 10−5 | −2.20 | 2.2238 × 10−5 | 1.2128 × 10−4 | −1.5783 × 10−3 | 2.0957 × 10−2 | 7.3060 × 10−1 | −5.7930 × 10−1 | |
| (Equation (11)) | 9.6 × 10−5 | −2.17 | 2.2364 × 10−5 | 1.2240 × 10−4 | −1.5890 × 10−3 | 2.0895 × 10−2 | 7.3092 × 10−1 | −5.7876 × 10−1 | |
| 0.00019 | −1.87 | 2.2504 × 10−5 | 1.3788 × 10−4 | −1.5479 × 10−3 | 2.0022 × 10−2 | 7.2795 × 10−1 | −5.4425 × 10−1 | ||
| 0.00048 | −1.47 | 1.8490 × 10−5 | 1.1702 × 10−4 | −1.2605 × 10−3 | 2.0782 × 10−2 | 7.2005 × 10−1 | −5.0532 × 10−1 | ||
| 0.00096 | −1.17 | 1.9246 × 10−5 | 1.3371 × 10−4 | −1.2517 × 10−3 | 1.9954 × 10−2 | 7.1826 × 10−1 | −4.7476 × 10−1 | ||
| 0.0038 | −0.57 | 1.5919 × 10−5 | 1.2457 × 10−4 | −9.7997 × 10−4 | 2.0551 × 10−2 | 7.0787 × 10−1 | −4.1389 × 10−1 | ||
| 0.0078 | −0.26 | 1.9228 × 10−5 | 1.8041 × 10−4 | −1.1073 × 10−3 | 1.8449 × 10−2 | 7.0538 × 10−1 | −3.4245 × 10−1 | ||
| 0.0096 | −0.17 | 1.7296 × 10−5 | 1.6136 × 10−4 | −9.4291 × 10−4 | 1.9413 × 10−2 | 7.0002 × 10−1 | −3.2063 × 10−1 | ||
| 0.0142 | 0.00 | 2.3876 × 10−5 | 2.4911 × 10−4 | −1.2368 × 10−3 | 1.6128 × 10−2 | 7.0077 × 10−1 | −2.5619 × 10−1 | ||
| 0.019 | 0.13 | 2.0135 × 10−5 | 2.3304 × 10−4 | −8.7799 × 10−4 | 1.7239 × 10−2 | 6.8696 × 10−1 | −2.0074 × 10−1 | ||
| 0.029 | 0.31 | 1.8947 × 10−5 | 2.4694 × 10−4 | −5.3669 × 10−4 | 1.8314 × 10−2 | 6.6154 × 10−1 | −4.9672 × 10−2 | ||
| 0.038 | 0.43 | 2.1314 × 10−5 | 2.7855 × 10−4 | −3.6256 × 10−4 | 1.9320 × 10−2 | 6.3030 × 10−1 | 1.4218 × 10−1 | ||
| 0.040 | 0.45 | 1.5181 × 10−5 | 1.9780 × 10−4 | −6.5759 × 10−5 | 2.2975 × 10−2 | 6.2133 × 10−1 | 1.6575 × 10−1 | ||
| Φ − LHα | 9.0 × 10−5 | −2.20 | 2.2238 × 10−5 | 1.2128 × 10−4 | −1.5783 × 10−3 | 2.0957 × 10−2 | −2.6940 × 10−1 | −4.7893 × 10−1 | |
| (Equation (13)) | 9.6 × 10−5 | −2.17 | 2.2364 × 10−5 | 1.2240 × 10−4 | −1.5890 × 10−3 | 2.0895 × 10−2 | −2.6908 × 10−1 | −4.7839 × 10−1 | |
| 0.00019 | −1.87 | 2.2504 × 10−5 | 1.3788 × 10−4 | −1.5479 × 10−3 | 2.0022 × 10−2 | −2.7205 × 10−1 | −4.4388 × 10−1 | ||
| 0.00048 | −1.47 | 1.8490 × 10−5 | 1.1702 × 10−4 | −1.2605 × 10−3 | 2.0782 × 10−2 | −2.7995 × 10−1 | −4.0495 × 10−1 | ||
| 0.00096 | −1.17 | 1.9246 × 10−5 | 1.3371 × 10−4 | −1.2517 × 10−3 | 1.9954 × 10−2 | −2.8174 × 10−1 | −3.7439 × 10−1 | ||
| 0.0038 | −0.57 | 1.5919 × 10−5 | 1.2457 × 10−4 | −9.7997 × 10−4 | 2.0551 × 10−2 | −2.9213 × 10−1 | −3.1351 × 10−1 | ||
| 0.0078 | −0.26 | 1.9228 × 10−5 | 1.8041 × 10−4 | −1.1073 × 10−3 | 1.8449 × 10−2 | −2.9462 × 10−1 | −2.4208 × 10−1 | ||
| 0.0096 | −0.17 | 1.7296 × 10−5 | 1.6136 × 10−4 | −9.4291 × 10−4 | 1.9413 × 10−2 | −2.9998 × 10−1 | −2.2026 × 10−1 | ||
| 0.0142 | 0.00 | 2.3876 × 10−5 | 2.4911 × 10−4 | −1.2368 × 10−3 | 1.6128 × 10−2 | −2.9923 × 10−1 | −1.5582 × 10−1 | ||
| 0.019 | 0.13 | 2.0135 × 10−5 | 2.3304 × 10−4 | −8.7799 × 10−4 | 1.7239 × 10−2 | −3.1304 × 10−1 | −1.0037 × 10−1 | ||
| 0.029 | 0.31 | 1.8947 × 10−5 | 2.4694 × 10−4 | −5.3669 × 10−4 | 1.8314 × 10−2 | −3.3846 × 10−1 | 5.0698 × 10−2 | ||
| 0.038 | 0.43 | 2.1314 × 10−5 | 2.7855 × 10−4 | −3.6256 × 10−4 | 1.9320 × 10−2 | −3.6970 × 10−1 | 2.4256 × 10−1 | ||
| 0.040 | 0.45 | 1.5181 × 10−5 | 1.9780 × 10−4 | −6.5760 × 10−5 | 2.2975 × 10−2 | −3.7867 × 10−1 | 2.6612 × 10−1 | ||
| ψK98 − ψIGIMF | 9.0 × 10−5 | −2.20 | 2.2238 × 10−5 | 1.3244 × 10−4 | −1.5273 × 10−3 | 2.0489 × 10−2 | 7.3476 × 10−1 | −5.0576 × 10−1 | |
| (Equation (14)) | 9.6 × 10−5 | −2.17 | 2.2364 × 10−5 | 1.3362 × 10−4 | −1.5376 × 10−3 | 2.0424 × 10−2 | 7.3506 × 10−1 | −5.0519 × 10−1 | |
| 0.00019 | −1.87 | 2.2504 × 10−5 | 1.4917 × 10−4 | −1.4903 × 10−3 | 1.9564 × 10−2 | 7.3192 × 10−1 | −4.7098 × 10−1 | ||
| 0.00048 | −1.47 | 1.8490 × 10−5 | 1.2630 × 10−4 | −1.2116 × 10−3 | 2.0410 × 10−2 | 7.2418 × 10−1 | −4.3284 × 10−1 | ||
| 0.00096 | −1.17 | 1.9246 × 10−5 | 1.4337 × 10−4 | −1.1961 × 10−3 | 1.9585 × 10−2 | 7.2223 × 10−1 | −4.0246 × 10−1 | ||
| 0.0038 | −0.57 | 1.5919 × 10−5 | 1.3256 × 10−4 | −9.2835 × 10−4 | 2.0264 × 10−2 | 7.1196 × 10−1 | −3.4263 × 10−1 | ||
| 0.0078 | −0.26 | 1.9228 × 10−5 | 1.9006 × 10−4 | −1.0329 × 10−3 | 1.8126 × 10−2 | 7.0905 × 10−1 | −2.7146 × 10−1 | ||
| 0.0096 | −0.17 | 1.7296 × 10−5 | 1.7004 × 10−4 | −8.7638 × 10−4 | 1.9139 × 10−2 | 7.0389 × 10−1 | −2.5017 × 10−1 | ||
| 0.0142 | 0.00 | 2.3876 × 10−5 | 2.6109 × 10−4 | −1.1344 × 10−3 | 1.5771 × 10−2 | 7.0397 × 10−1 | −1.8569 × 10−1 | ||
| 0.019 | 0.13 | 2.0135 × 10−5 | 2.4314 × 10−4 | −7.8240 × 10−4 | 1.6989 × 10−2 | 6.9040 × 10−1 | −1.3162 × 10−1 | ||
| 0.029 | 0.31 | 1.8947 × 10−5 | 2.5645 × 10−4 | −4.3564 × 10−4 | 1.8167 × 10−2 | 6.6520 × 10−1 | 1.6910 × 10−2 | ||
| 0.038 | 0.43 | 2.1314 × 10−5 | 2.8925 × 10−4 | −2.4858 × 10−4 | 1.9228 × 10−2 | 6.3417 × 10−1 | 2.0564 × 10−1 | ||
| 0.040 | 0.45 | 1.5181 × 10−5 | 2.0542 × 10−4 | 1.5184 × 10−5 | 2.2968 × 10−2 | 6.2594 × 10−1 | 2.2834 × 10−1 | ||
Notes. Polynomial coefficients of the fitting functions Eqs. (11), (13), and (14) to the ψ–LHα and Φ − LHα, ψK98 − ψIGIMF relations, respectively, for different metallicities. The fitting relations of ψ–LHα and Φ − LHα relations are defined for the Hα luminosity range of −6 < log10(LHα/(1041 erg s−1)) < 4 and ψK98 − ψIGIMF relations for SFRs derived from the Kennicutt law in the range of −6 < log10(ψK98 (M⊙ yr−1)) < 4 (Section 2.5). They cannot be applied beyond these boundaries.
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