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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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