Open Access
Table D.5.
Modified PLZ 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 | ||||||
| u | 0.969 ± 0.023 | -0.715 ± 0.064 | 0.32 ± 0.059 | 0.125 ± 0.02 | 0.358 | 3266 |
| g | -0.07 ± 0.02 | -1.416 ± 0.056 | 0.029 ± 0.051 | 0.016 ± 0.018 | 0.311 | 3266 |
| r | -0.244 ± 0.017 | -1.839 ± 0.045 | -0.027 ± 0.042 | -0.011 ± 0.014 | 0.253 | 3266 |
| i | -0.246 ± 0.015 | -2.025 ± 0.04 | -0.03 ± 0.037 | -0.005 ± 0.013 | 0.225 | 3266 |
| z | -0.215 ± 0.014 | -2.119 ± 0.038 | -0.028 ± 0.035 | 0.004 ± 0.012 | 0.214 | 3266 |
| y | -0.21 ± 0.014 | -2.171 ± 0.037 | -0.031 ± 0.034 | 0.002 ± 0.012 | 0.209 | 3266 |
| Convection set B | ||||||
| u | 0.97 ± 0.023 | -0.351 ± 0.068 | 0.384 ± 0.061 | 0.11 ± 0.02 | 0.315 | 2260 |
| g | -0.076 ± 0.021 | -1.122 ± 0.06 | 0.055 ± 0.053 | -0.001 ± 0.018 | 0.277 | 2260 |
| r | -0.256 ± 0.017 | -1.604 ± 0.05 | -0.018 ± 0.044 | -0.023 ± 0.015 | 0.23 | 2260 |
| i | -0.261 ± 0.015 | -1.818 ± 0.045 | -0.028 ± 0.04 | -0.014 ± 0.013 | 0.208 | 2260 |
| z | -0.231 ± 0.015 | -1.923 ± 0.043 | -0.03 ± 0.038 | -0.005 ± 0.013 | 0.199 | 2260 |
| y | -0.227 ± 0.015 | -1.981 ± 0.042 | -0.034 ± 0.038 | -0.006 ± 0.012 | 0.195 | 2260 |
| Convection set C | ||||||
| u | 1.173 ± 0.026 | -0.549 ± 0.071 | 0.173 ± 0.067 | 0.203 ± 0.023 | 0.381 | 2632 |
| g | 0.098 ± 0.022 | -1.38 ± 0.059 | -0.151 ± 0.056 | 0.07 ± 0.019 | 0.318 | 2632 |
| r | -0.127 ± 0.018 | -1.82 ± 0.048 | -0.171 ± 0.046 | 0.027 ± 0.016 | 0.258 | 2632 |
| i | -0.155 ± 0.016 | -2.005 ± 0.043 | -0.149 ± 0.041 | 0.027 ± 0.014 | 0.231 | 2632 |
| z | -0.135 ± 0.015 | -2.104 ± 0.041 | -0.139 ± 0.039 | 0.034 ± 0.013 | 0.219 | 2632 |
| y | -0.134 ± 0.015 | -2.16 ± 0.039 | -0.136 ± 0.038 | 0.03 ± 0.013 | 0.213 | 2632 |
| Convection set D | ||||||
| u | 1.12 ± 0.028 | -0.26 ± 0.076 | 0.331 ± 0.068 | 0.156 ± 0.023 | 0.358 | 2122 |
| g | 0.056 ± 0.023 | -1.137 ± 0.064 | -0.033 ± 0.057 | 0.033 ± 0.02 | 0.302 | 2122 |
| r | -0.158 ± 0.019 | -1.631 ± 0.053 | -0.094 ± 0.047 | 0.003 ± 0.016 | 0.248 | 2122 |
| i | -0.18 ± 0.017 | -1.844 ± 0.048 | -0.094 ± 0.042 | 0.009 ± 0.015 | 0.223 | 2122 |
| z | -0.157 ± 0.016 | -1.954 ± 0.045 | -0.094 ± 0.04 | 0.019 ± 0.014 | 0.212 | 2122 |
| y | -0.155 ± 0.016 | -2.015 ± 0.044 | -0.097 ± 0.039 | 0.017 ± 0.014 | 0.207 | 2122 |
| Low-mass models only (0.5 − 0.6 M⊙) | ||||||
| Convection set A | ||||||
| u | 0.998 ± 0.036 | -0.129 ± 0.103 | 0.317 ± 0.094 | 0.113 ± 0.031 | 0.321 | 1050 |
| g | -0.022 ± 0.031 | -0.95 ± 0.087 | -0.029 ± 0.08 | 0.015 ± 0.027 | 0.274 | 1050 |
| r | -0.172 ± 0.024 | -1.478 ± 0.068 | -0.088 ± 0.062 | -0.011 ± 0.021 | 0.212 | 1050 |
| i | -0.162 ± 0.02 | -1.713 ± 0.058 | -0.086 ± 0.053 | -0.005 ± 0.018 | 0.181 | 1050 |
| z | -0.127 ± 0.019 | -1.826 ± 0.054 | -0.082 ± 0.05 | 0.003 ± 0.016 | 0.169 | 1050 |
| y | -0.121 ± 0.018 | -1.886 ± 0.052 | -0.084 ± 0.048 | 0.002 ± 0.016 | 0.163 | 1050 |
| Convection set B | ||||||
| u | 1.071 ± 0.032 | 0.071 ± 0.093 | 0.406 ± 0.084 | 0.109 ± 0.028 | 0.254 | 707 |
| g | 0.025 ± 0.027 | -0.766 ± 0.079 | 0.042 ± 0.072 | -0.001 ± 0.024 | 0.217 | 707 |
| r | -0.143 ± 0.021 | -1.322 ± 0.062 | -0.036 ± 0.057 | -0.024 ± 0.019 | 0.17 | 707 |
| i | -0.142 ± 0.018 | -1.573 ± 0.054 | -0.045 ± 0.049 | -0.015 ± 0.016 | 0.147 | 707 |
| z | -0.11 ± 0.017 | -1.691 ± 0.05 | -0.046 ± 0.046 | -0.006 ± 0.015 | 0.138 | 707 |
| y | -0.106 ± 0.017 | -1.754 ± 0.049 | -0.05 ± 0.045 | -0.007 ± 0.015 | 0.134 | 707 |
| Convection set C | ||||||
| u | 1.388 ± 0.041 | -0.444 ± 0.112 | 0.011 ± 0.107 | 0.259 ± 0.036 | 0.354 | 856 |
| g | 0.297 ± 0.034 | -1.311 ± 0.091 | -0.315 ± 0.087 | 0.115 ± 0.029 | 0.288 | 856 |
| r | 0.058 ± 0.026 | -1.764 ± 0.071 | -0.304 ± 0.067 | 0.06 ± 0.023 | 0.222 | 856 |
| i | 0.025 ± 0.022 | -1.953 ± 0.061 | -0.265 ± 0.057 | 0.054 ± 0.02 | 0.191 | 856 |
| z | 0.042 ± 0.021 | -2.054 ± 0.056 | -0.248 ± 0.053 | 0.058 ± 0.018 | 0.177 | 856 |
| y | 0.042 ± 0.02 | -2.111 ± 0.054 | -0.241 ± 0.051 | 0.053 ± 0.017 | 0.17 | 856 |
| Convection set D | ||||||
| u | 1.33 ± 0.04 | -0.199 ± 0.112 | 0.328 ± 0.103 | 0.172 ± 0.036 | 0.335 | 711 |
| g | 0.236 ± 0.033 | -1.058 ± 0.091 | -0.019 ± 0.084 | 0.031 ± 0.029 | 0.274 | 711 |
| r | 0.01 ± 0.026 | -1.556 ± 0.071 | -0.074 ± 0.065 | -0.005 ± 0.023 | 0.212 | 711 |
| i | -0.015 ± 0.022 | -1.773 ± 0.061 | -0.073 ± 0.056 | 0.001 ± 0.02 | 0.183 | 711 |
| z | 0.005 ± 0.02 | -1.883 ± 0.057 | -0.073 ± 0.052 | 0.009 ± 0.018 | 0.17 | 711 |
| y | 0.005 ± 0.02 | -1.944 ± 0.055 | -0.075 ± 0.051 | 0.007 ± 0.018 | 0.165 | 711 |
Notes. Modified PLZ relation is of the mathematical form, Mλ = α + (β1 + β2[Fe/H])log(P)+γ[Fe/H].
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