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Table D.3.
PWZ relations for BL Her models at different wavelengths for the complete set of models and for low-mass models only.
| Band | α | β | γ | σ | N |
|---|---|---|---|---|---|
| Complete set of models (0.5 − 0.8 M⊙) | |||||
| Convection set A | |||||
| Wug | -3.529 ± 0.012 | -2.856 ± 0.028 | -0.588 ± 0.006 | 0.244 | 3266 |
| Wur | -1.896 ± 0.008 | -2.864 ± 0.019 | -0.324 ± 0.004 | 0.17 | 3266 |
| Wgr | -0.78 ± 0.007 | -2.869 ± 0.016 | -0.144 ± 0.004 | 0.142 | 3266 |
| Wgi | -0.501 ± 0.007 | -2.722 ± 0.017 | -0.065 ± 0.004 | 0.146 | 3266 |
| Wiz | -0.123 ± 0.009 | -2.4 ± 0.021 | 0.024 ± 0.005 | 0.18 | 3266 |
| Wgy | -0.306 ± 0.008 | -2.54 ± 0.019 | -0.026 ± 0.004 | 0.163 | 3266 |
| Convection set B | |||||
| Wug | -3.576 ± 0.013 | -2.653 ± 0.032 | -0.621 ± 0.007 | 0.241 | 2260 |
| Wur | -1.939 ± 0.009 | -2.714 ± 0.023 | -0.342 ± 0.005 | 0.172 | 2260 |
| Wgr | -0.82 ± 0.008 | -2.754 ± 0.019 | -0.152 ± 0.004 | 0.144 | 2260 |
| Wgi | -0.535 ± 0.008 | -2.595 ± 0.019 | -0.071 ± 0.005 | 0.147 | 2260 |
| Wiz | -0.147 ± 0.009 | -2.227 ± 0.023 | 0.017 ± 0.005 | 0.173 | 2260 |
| Wgy | -0.334 ± 0.009 | -2.386 ± 0.021 | -0.033 ± 0.005 | 0.16 | 2260 |
| Convection set C | |||||
| Wug | -3.533 ± 0.013 | -3.044 ± 0.03 | -0.691 ± 0.007 | 0.25 | 2632 |
| Wur | -1.919 ± 0.009 | -2.943 ± 0.021 | -0.376 ± 0.005 | 0.174 | 2632 |
| Wgr | -0.816 ± 0.007 | -2.873 ± 0.017 | -0.16 ± 0.004 | 0.143 | 2632 |
| Wgi | -0.52 ± 0.008 | -2.694 ± 0.018 | -0.073 ± 0.004 | 0.148 | 2632 |
| Wiz | -0.096 ± 0.009 | -2.336 ± 0.022 | 0.022 ± 0.005 | 0.183 | 2632 |
| Wgy | -0.297 ± 0.009 | -2.495 ± 0.02 | -0.031 ± 0.005 | 0.166 | 2632 |
| Convection set D | |||||
| Wug | -3.572 ± 0.014 | -2.829 ± 0.033 | -0.7 ± 0.008 | 0.256 | 2122 |
| Wur | -1.944 ± 0.01 | -2.8 ± 0.024 | -0.379 ± 0.006 | 0.181 | 2122 |
| Wgr | -0.832 ± 0.008 | -2.778 ± 0.02 | -0.16 ± 0.005 | 0.149 | 2122 |
| Wgi | -0.533 ± 0.008 | -2.6 ± 0.02 | -0.073 ± 0.005 | 0.152 | 2122 |
| Wiz | -0.11 ± 0.01 | -2.222 ± 0.024 | 0.021 ± 0.006 | 0.181 | 2122 |
| Wgy | -0.311 ± 0.009 | -2.389 ± 0.022 | -0.031 ± 0.005 | 0.167 | 2122 |
| Low-mass models only (0.5 − 0.6 M⊙) | |||||
| Convection set A | |||||
| Wug | -3.471 ± 0.018 | -2.572 ± 0.046 | -0.612 ± 0.01 | 0.224 | 1050 |
| Wur | -1.8 ± 0.011 | -2.676 ± 0.027 | -0.341 ± 0.006 | 0.13 | 1050 |
| Wgr | -0.657 ± 0.007 | -2.745 ± 0.017 | -0.156 ± 0.004 | 0.082 | 1050 |
| Wgi | -0.385 ± 0.007 | -2.561 ± 0.017 | -0.077 ± 0.004 | 0.085 | 1050 |
| Wiz | -0.034 ± 0.011 | -2.13 ± 0.027 | 0.01 ± 0.006 | 0.131 | 1050 |
| Wgy | -0.207 ± 0.009 | -2.314 ± 0.022 | -0.039 ± 0.005 | 0.108 | 1050 |
| Convection set B | |||||
| Wug | -3.492 ± 0.019 | -2.424 ± 0.048 | -0.648 ± 0.012 | 0.213 | 707 |
| Wur | -1.821 ± 0.012 | -2.566 ± 0.029 | -0.359 ± 0.007 | 0.127 | 707 |
| Wgr | -0.679 ± 0.007 | -2.66 ± 0.019 | -0.161 ± 0.005 | 0.082 | 707 |
| Wgi | -0.396 ± 0.007 | -2.476 ± 0.018 | -0.078 ± 0.004 | 0.08 | 707 |
| Wiz | -0.023 ± 0.01 | -2.03 ± 0.025 | 0.011 ± 0.006 | 0.11 | 707 |
| Wgy | -0.205 ± 0.009 | -2.22 ± 0.022 | -0.04 ± 0.005 | 0.095 | 707 |
| Convection set C | |||||
| Wug | -3.427 ± 0.021 | -2.941 ± 0.05 | -0.723 ± 0.012 | 0.24 | 856 |
| Wur | -1.794 ± 0.012 | -2.865 ± 0.029 | -0.397 ± 0.007 | 0.139 | 856 |
| Wgr | -0.678 ± 0.007 | -2.812 ± 0.017 | -0.174 ± 0.004 | 0.084 | 856 |
| Wgi | -0.377 ± 0.008 | -2.62 ± 0.018 | -0.084 ± 0.004 | 0.088 | 856 |
| Wiz | 0.049 ± 0.012 | -2.223 ± 0.028 | 0.014 ± 0.007 | 0.135 | 856 |
| Wgy | -0.153 ± 0.01 | -2.399 ± 0.023 | -0.04 ± 0.006 | 0.113 | 856 |
| Convection set D | |||||
| Wug | -3.444 ± 0.021 | -2.798 ± 0.049 | -0.735 ± 0.013 | 0.233 | 711 |
| Wur | -1.803 ± 0.012 | -2.773 ± 0.029 | -0.401 ± 0.008 | 0.138 | 711 |
| Wgr | -0.681 ± 0.008 | -2.753 ± 0.018 | -0.173 ± 0.005 | 0.088 | 711 |
| Wgi | -0.377 ± 0.008 | -2.571 ± 0.019 | -0.082 ± 0.005 | 0.09 | 711 |
| Wiz | 0.052 ± 0.012 | -2.177 ± 0.028 | 0.016 ± 0.007 | 0.131 | 711 |
| Wgy | -0.152 ± 0.01 | -2.35 ± 0.023 | -0.038 ± 0.006 | 0.111 | 711 |
Notes. PWZ relation is of the mathematical form, Wλ2, λ1 = α + βlog(P)+γ[Fe/H].
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