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Table D.6.
Modified PWZ relations for BL Her models at different wavelengths using different convective parameter sets.
| Band | α | β1 | β2 | γ | σ | N |
|---|---|---|---|---|---|---|
| Complete set of models (0.5 − 0.8 M⊙) | ||||||
| Convection set A | ||||||
| Wug | -3.29 ± 0.015 | -3.589 ± 0.04 | -0.875 ± 0.037 | -0.32 ± 0.013 | 0.226 | 3266 |
| Wur | -1.77 ± 0.011 | -3.253 ± 0.029 | -0.464 ± 0.027 | -0.182 ± 0.009 | 0.163 | 3266 |
| Wgr | -0.73 ± 0.009 | -3.022 ± 0.025 | -0.183 ± 0.023 | -0.088 ± 0.008 | 0.141 | 3266 |
| Wgi | -0.472 ± 0.01 | -2.809 ± 0.026 | -0.104 ± 0.024 | -0.033 ± 0.008 | 0.145 | 3266 |
| Wiz | -0.117 ± 0.012 | -2.419 ± 0.032 | -0.023 ± 0.03 | 0.031 ± 0.01 | 0.18 | 3266 |
| Wgy | -0.289 ± 0.011 | -2.593 ± 0.029 | -0.064 ± 0.027 | -0.006 ± 0.009 | 0.163 | 3266 |
| Convection set B | ||||||
| Wug | -3.317 ± 0.016 | -3.513 ± 0.047 | -0.964 ± 0.042 | -0.344 ± 0.014 | 0.217 | 2260 |
| Wur | -1.798 ± 0.012 | -3.181 ± 0.035 | -0.524 ± 0.031 | -0.192 ± 0.01 | 0.162 | 2260 |
| Wgr | -0.76 ± 0.011 | -2.953 ± 0.031 | -0.223 ± 0.027 | -0.088 ± 0.009 | 0.142 | 2260 |
| Wgi | -0.499 ± 0.011 | -2.714 ± 0.032 | -0.134 ± 0.028 | -0.032 ± 0.009 | 0.146 | 2260 |
| Wiz | -0.137 ± 0.013 | -2.26 ± 0.038 | -0.037 ± 0.033 | 0.027 ± 0.011 | 0.173 | 2260 |
| Wgy | -0.311 ± 0.012 | -2.461 ± 0.035 | -0.085 ± 0.031 | -0.009 ± 0.01 | 0.16 | 2260 |
| Convection set C | ||||||
| Wug | -3.232 ± 0.015 | -3.956 ± 0.04 | -1.157 ± 0.038 | -0.342 ± 0.013 | 0.215 | 2632 |
| Wur | -1.763 ± 0.011 | -3.418 ± 0.03 | -0.602 ± 0.028 | -0.194 ± 0.01 | 0.16 | 2632 |
| Wgr | -0.758 ± 0.01 | -3.049 ± 0.026 | -0.224 ± 0.025 | -0.092 ± 0.009 | 0.141 | 2632 |
| Wgi | -0.481 ± 0.01 | -2.809 ± 0.027 | -0.146 ± 0.026 | -0.028 ± 0.009 | 0.148 | 2632 |
| Wiz | -0.068 ± 0.013 | -2.42 ± 0.034 | -0.107 ± 0.032 | 0.054 ± 0.011 | 0.183 | 2632 |
| Wgy | -0.264 ± 0.011 | -2.596 ± 0.031 | -0.128 ± 0.029 | 0.008 ± 0.01 | 0.165 | 2632 |
| Convection set D | ||||||
| Wug | -3.244 ± 0.017 | -3.859 ± 0.047 | -1.162 ± 0.042 | -0.351 ± 0.014 | 0.218 | 2122 |
| Wur | -1.767 ± 0.013 | -3.357 ± 0.035 | -0.629 ± 0.031 | -0.191 ± 0.011 | 0.166 | 2122 |
| Wgr | -0.757 ± 0.011 | -3.012 ± 0.031 | -0.264 ± 0.028 | -0.081 ± 0.01 | 0.146 | 2122 |
| Wgi | -0.484 ± 0.012 | -2.753 ± 0.032 | -0.172 ± 0.029 | -0.021 ± 0.01 | 0.151 | 2122 |
| Wiz | -0.083 ± 0.014 | -2.306 ± 0.039 | -0.095 ± 0.034 | 0.049 ± 0.012 | 0.181 | 2122 |
| Wgy | -0.273 ± 0.013 | -2.506 ± 0.035 | -0.132 ± 0.032 | 0.008 ± 0.011 | 0.166 | 2122 |
| Low-mass models only (0.5 − 0.6 M⊙) | ||||||
| Convection set A | ||||||
| Wug | -3.182 ± 0.022 | -3.495 ± 0.061 | -1.105 ± 0.056 | -0.29 ± 0.019 | 0.191 | 1050 |
| Wur | -1.643 ± 0.013 | -3.176 ± 0.036 | -0.598 ± 0.034 | -0.167 ± 0.011 | 0.114 | 1050 |
| Wgr | -0.591 ± 0.009 | -2.956 ± 0.025 | -0.252 ± 0.023 | -0.082 ± 0.008 | 0.078 | 1050 |
| Wgi | -0.343 ± 0.009 | -2.695 ± 0.027 | -0.159 ± 0.024 | -0.03 ± 0.008 | 0.083 | 1050 |
| Wiz | -0.016 ± 0.015 | -2.187 ± 0.042 | -0.068 ± 0.038 | 0.03 ± 0.013 | 0.13 | 1050 |
| Wgy | -0.177 ± 0.012 | -2.41 ± 0.034 | -0.115 ± 0.032 | -0.006 ± 0.01 | 0.108 | 1050 |
| Convection set B | ||||||
| Wug | -3.216 ± 0.022 | -3.36 ± 0.063 | -1.087 ± 0.058 | -0.34 ± 0.019 | 0.174 | 707 |
| Wur | -1.67 ± 0.013 | -3.076 ± 0.039 | -0.592 ± 0.036 | -0.191 ± 0.012 | 0.107 | 707 |
| Wgr | -0.614 ± 0.01 | -2.879 ± 0.028 | -0.254 ± 0.025 | -0.089 ± 0.008 | 0.077 | 707 |
| Wgi | -0.356 ± 0.01 | -2.611 ± 0.029 | -0.156 ± 0.026 | -0.034 ± 0.009 | 0.078 | 707 |
| Wiz | -0.01 ± 0.014 | -2.072 ± 0.04 | -0.049 ± 0.037 | 0.024 ± 0.012 | 0.11 | 707 |
| Wgy | -0.179 ± 0.012 | -2.307 ± 0.034 | -0.102 ± 0.031 | -0.011 ± 0.01 | 0.095 | 707 |
| Convection set C | ||||||
| Wug | -3.087 ± 0.022 | -3.998 ± 0.059 | -1.326 ± 0.056 | -0.331 ± 0.019 | 0.187 | 856 |
| Wur | -1.614 ± 0.013 | -3.423 ± 0.036 | -0.7 ± 0.034 | -0.19 ± 0.012 | 0.113 | 856 |
| Wgr | -0.608 ± 0.009 | -3.029 ± 0.025 | -0.272 ± 0.023 | -0.094 ± 0.008 | 0.078 | 856 |
| Wgi | -0.325 ± 0.01 | -2.78 ± 0.027 | -0.201 ± 0.026 | -0.025 ± 0.009 | 0.085 | 856 |
| Wiz | 0.098 ± 0.016 | -2.375 ± 0.042 | -0.191 ± 0.04 | 0.07 ± 0.014 | 0.133 | 856 |
| Wgy | -0.101 ± 0.013 | -2.559 ± 0.035 | -0.2 ± 0.033 | 0.019 ± 0.011 | 0.111 | 856 |
| Convection set D | ||||||
| Wug | -3.156 ± 0.023 | -3.723 ± 0.064 | -1.094 ± 0.059 | -0.407 ± 0.021 | 0.191 | 711 |
| Wur | -1.65 ± 0.014 | -3.262 ± 0.04 | -0.58 ± 0.036 | -0.227 ± 0.013 | 0.119 | 711 |
| Wgr | -0.62 ± 0.01 | -2.946 ± 0.028 | -0.228 ± 0.026 | -0.104 ± 0.009 | 0.083 | 711 |
| Wgi | -0.339 ± 0.011 | -2.692 ± 0.029 | -0.143 ± 0.027 | -0.039 ± 0.009 | 0.088 | 711 |
| Wiz | 0.071 ± 0.016 | -2.238 ± 0.044 | -0.073 ± 0.04 | 0.038 ± 0.014 | 0.131 | 711 |
| Wgy | -0.124 ± 0.013 | -2.44 ± 0.037 | -0.107 ± 0.034 | -0.006 ± 0.012 | 0.111 | 711 |
Notes. Modified PWZ relation is of the mathematical form, Wλ2, λ1 = α + (β1 + β2[Fe/H])log(P)+γ[Fe/H].
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