D. Koester (2020): New generation of envelopes and diffusion time scales. The atmosphere models, which provide the boundary conditions for the envelopes, use the latest code with a number of improvements (e.g. a more accurate treatment of molecule formation, more absorption processes), which are most important at the cool end of the sequence. The envelope code is a completely new development, described in more detail in Koester et al. (2020, A&A 635,103). The diffusion code has been completely rewritten. Major changes are the inclusion of nonideal effects in the diffusion equation after Beznogov & Yakovlev (2013, Phys. Rev. E, 111, 161101), new calculations for the collision integrals by Stanton & Murillo (2016, Phys.Rev. E, 93, 043203), and the Thomas-Fermi mean ionization model for the determination of average charges of all elements at higher densities. In the current version the average charges are calculated from the Saha equation (including nonideal effects) for log density < -3.0 and from the TF model for log densities >-2.0 g/cm3. In the intermediate region a smooth transition is provided. The DA calculations use ML2/alpha=0.7 for the convection in atmosphere and envelope; the DB models use 1.25. The starting point for the envelope within the atmosphere is usually tau_ross=100. If there is no convection at this depth in the hotter models the boundary is shifted upwards in the atmosphere to the bottom of the cvz, but not above tau_ross ~1. The velocities and time scales are calculated at the bottom of the cvz, optionally including an overshoot. If there is no convection at the first envelope layer, the data are calculated there, but without applying an overshoot. -------------------------------------------------------------------------- Diffusion time scales for DB/DBA white dwarfs with [H/He] = -5.0 (D. Koester, Kiel 2020) log10(taudiff[yrs]) log10(qvz) EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -2.877 -2.923 -2.967 -3.011 -3.050 -3.086 -3.117 -3.140 -3.166 -3.181 -3.200 -3.213 -3.223 -3.229 -3.233 -3.238 ---------------------------------------------------------------------------------------------------------------------------------- 3 8.783 8.729 8.674 8.618 8.566 8.514 8.468 8.428 8.387 8.356 8.323 8.296 8.273 8.253 8.237 8.220 4 8.768 8.715 8.660 8.605 8.553 8.503 8.457 8.418 8.377 8.347 8.313 8.286 8.262 8.241 8.225 8.206 5 8.787 8.733 8.678 8.623 8.571 8.521 8.474 8.436 8.395 8.366 8.332 8.306 8.282 8.260 8.244 8.225 6 8.900 8.842 8.784 8.724 8.670 8.617 8.567 8.526 8.484 8.453 8.418 8.391 8.366 8.344 8.328 8.308 7 8.834 8.777 8.721 8.663 8.610 8.559 8.510 8.471 8.430 8.402 8.368 8.343 8.319 8.299 8.284 8.265 8 8.776 8.722 8.666 8.610 8.559 8.509 8.462 8.424 8.385 8.357 8.325 8.301 8.279 8.259 8.246 8.228 9 8.626 8.575 8.524 8.472 8.425 8.379 8.335 8.301 8.264 8.239 8.210 8.188 8.168 8.151 8.139 8.123 10 8.662 8.610 8.557 8.504 8.456 8.410 8.365 8.330 8.293 8.268 8.238 8.216 8.196 8.179 8.168 8.152 11 8.563 8.514 8.464 8.414 8.368 8.324 8.281 8.249 8.213 8.190 8.162 8.141 8.123 8.107 8.097 8.082 12 8.577 8.527 8.477 8.426 8.380 8.335 8.292 8.259 8.224 8.201 8.173 8.152 8.134 8.118 8.108 8.094 13 8.506 8.457 8.409 8.360 8.315 8.273 8.231 8.200 8.166 8.144 8.117 8.098 8.080 8.065 8.056 8.043 14 8.524 8.476 8.426 8.377 8.332 8.289 8.247 8.215 8.181 8.159 8.132 8.112 8.095 8.080 8.072 8.058 15 8.453 8.406 8.358 8.311 8.267 8.226 8.186 8.155 8.123 8.101 8.076 8.057 8.041 8.027 8.019 8.006 16 8.467 8.419 8.371 8.323 8.279 8.237 8.197 8.166 8.133 8.112 8.086 8.068 8.052 8.038 8.030 8.018 17 8.387 8.342 8.296 8.249 8.207 8.167 8.129 8.100 8.068 8.048 8.023 8.006 7.990 7.977 7.970 7.959 18 8.291 8.248 8.204 8.160 8.120 8.081 8.045 8.017 7.987 7.968 7.945 7.928 7.914 7.902 7.895 7.885 19 8.356 8.311 8.266 8.220 8.179 8.139 8.101 8.073 8.042 8.023 7.999 7.982 7.967 7.954 7.948 7.937 20 8.367 8.321 8.275 8.229 8.188 8.148 8.110 8.081 8.050 8.031 8.007 7.990 7.975 7.963 7.957 7.946 21 8.269 8.225 8.182 8.138 8.099 8.061 8.025 7.998 7.968 7.950 7.927 7.911 7.898 7.886 7.881 7.871 22 8.231 8.189 8.146 8.103 8.064 8.027 7.992 7.966 7.937 7.919 7.897 7.881 7.868 7.857 7.852 7.842 23 8.196 8.154 8.112 8.070 8.032 7.995 7.961 7.935 7.906 7.889 7.867 7.852 7.839 7.829 7.824 7.814 24 8.201 8.159 8.116 8.074 8.036 8.000 7.965 7.939 7.911 7.893 7.872 7.857 7.844 7.833 7.829 7.819 25 8.170 8.128 8.087 8.045 8.007 7.971 7.937 7.912 7.884 7.867 7.846 7.831 7.819 7.809 7.804 7.795 26 8.176 8.134 8.093 8.051 8.013 7.977 7.943 7.917 7.890 7.873 7.852 7.837 7.825 7.814 7.810 7.801 27 8.145 8.103 8.062 8.021 7.984 7.949 7.915 7.890 7.863 7.846 7.826 7.811 7.799 7.789 7.785 7.777 28 8.168 8.127 8.085 8.043 8.006 7.970 7.936 7.911 7.883 7.867 7.846 7.831 7.819 7.809 7.805 7.797 29 8.111 8.071 8.030 7.990 7.953 7.918 7.885 7.861 7.834 7.818 7.798 7.784 7.772 7.763 7.759 7.751 30 8.102 8.062 8.021 7.981 7.945 7.910 7.877 7.853 7.826 7.811 7.791 7.777 7.765 7.756 7.752 7.744 EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -3.242 -3.247 -3.264 -3.283 -3.308 -3.336 -3.366 -3.402 -3.441 -3.482 -3.526 -3.572 -3.616 -3.667 -3.713 -3.765 ---------------------------------------------------------------------------------------------------------------------------------- 3 8.207 8.194 8.173 8.151 8.124 8.093 8.065 8.034 8.003 7.971 7.931 7.896 7.861 7.823 7.790 7.747 4 8.191 8.178 8.155 8.132 8.105 8.070 8.042 8.011 7.981 7.949 7.905 7.871 7.835 7.797 7.764 7.720 5 8.209 8.196 8.173 8.148 8.120 8.082 8.053 8.021 7.991 7.960 7.913 7.879 7.842 7.804 7.771 7.725 6 8.291 8.279 8.253 8.228 8.198 8.154 8.125 8.092 8.062 8.030 7.979 7.944 7.905 7.867 7.834 7.784 7 8.250 8.238 8.214 8.189 8.159 8.116 8.086 8.054 8.024 7.992 7.941 7.906 7.867 7.829 7.796 7.746 8 8.214 8.203 8.180 8.155 8.126 8.084 8.055 8.022 7.993 7.961 7.910 7.875 7.836 7.798 7.764 7.715 9 8.111 8.101 8.079 8.057 8.029 7.990 7.962 7.930 7.901 7.870 7.821 7.787 7.749 7.710 7.677 7.629 10 8.140 8.131 8.109 8.086 8.058 8.017 7.990 7.958 7.929 7.898 7.848 7.813 7.775 7.736 7.703 7.654 11 8.071 8.063 8.042 8.020 7.994 7.955 7.928 7.897 7.868 7.837 7.789 7.755 7.717 7.678 7.645 7.597 12 8.083 8.075 8.055 8.033 8.006 7.967 7.940 7.909 7.880 7.850 7.801 7.767 7.728 7.690 7.657 7.608 13 8.033 8.026 8.006 7.985 7.959 7.921 7.895 7.864 7.836 7.805 7.757 7.723 7.686 7.648 7.614 7.567 14 8.048 8.041 8.022 8.001 7.975 7.936 7.909 7.879 7.851 7.821 7.772 7.738 7.700 7.662 7.629 7.580 15 7.997 7.991 7.972 7.951 7.926 7.889 7.863 7.833 7.805 7.775 7.727 7.693 7.656 7.618 7.585 7.537 16 8.009 8.003 7.984 7.963 7.938 7.900 7.874 7.844 7.816 7.786 7.738 7.704 7.666 7.628 7.595 7.547 17 7.950 7.945 7.926 7.907 7.882 7.846 7.820 7.790 7.763 7.733 7.686 7.653 7.615 7.578 7.545 7.498 18 7.877 7.872 7.854 7.835 7.811 7.777 7.752 7.723 7.695 7.665 7.620 7.587 7.550 7.512 7.480 7.434 19 7.929 7.924 7.906 7.887 7.863 7.826 7.801 7.772 7.744 7.715 7.668 7.635 7.597 7.560 7.527 7.480 20 7.938 7.933 7.915 7.896 7.872 7.835 7.810 7.780 7.753 7.723 7.676 7.643 7.606 7.568 7.535 7.487 21 7.864 7.859 7.842 7.823 7.800 7.765 7.740 7.711 7.684 7.654 7.609 7.576 7.539 7.501 7.469 7.422 22 7.835 7.831 7.814 7.796 7.772 7.738 7.714 7.685 7.658 7.628 7.583 7.550 7.514 7.476 7.443 7.398 23 7.808 7.804 7.787 7.769 7.746 7.713 7.688 7.660 7.632 7.603 7.559 7.525 7.489 7.452 7.419 7.374 24 7.813 7.809 7.792 7.775 7.751 7.718 7.693 7.665 7.638 7.608 7.564 7.530 7.494 7.457 7.424 7.378 25 7.789 7.785 7.769 7.751 7.728 7.695 7.671 7.642 7.615 7.586 7.542 7.509 7.473 7.435 7.402 7.357 26 7.795 7.791 7.775 7.758 7.735 7.701 7.677 7.648 7.621 7.592 7.548 7.515 7.478 7.441 7.408 7.362 27 7.771 7.767 7.751 7.734 7.711 7.678 7.654 7.626 7.599 7.569 7.525 7.492 7.456 7.419 7.386 7.341 28 7.791 7.787 7.771 7.754 7.731 7.697 7.673 7.645 7.618 7.589 7.544 7.511 7.475 7.437 7.404 7.359 29 7.746 7.742 7.727 7.709 7.687 7.654 7.631 7.602 7.575 7.546 7.503 7.470 7.434 7.396 7.363 7.318 30 7.739 7.736 7.720 7.703 7.681 7.648 7.625 7.596 7.570 7.540 7.497 7.464 7.428 7.390 7.358 7.312 EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -3.816 -3.865 -3.918 -3.974 -4.034 -4.097 -4.160 -4.231 -4.311 -4.395 -4.483 -4.580 -4.680 -4.787 -4.902 -5.026 ---------------------------------------------------------------------------------------------------------------------------------- 3 7.712 7.677 7.636 7.598 7.557 7.514 7.468 7.420 7.362 7.307 7.250 7.184 7.119 7.048 6.972 6.893 4 7.685 7.650 7.608 7.570 7.530 7.487 7.440 7.393 7.332 7.278 7.221 7.155 7.090 7.017 6.941 6.863 5 7.690 7.656 7.612 7.575 7.535 7.492 7.444 7.397 7.334 7.281 7.224 7.156 7.093 7.018 6.941 6.864 6 7.750 7.715 7.669 7.632 7.592 7.549 7.499 7.452 7.386 7.334 7.277 7.208 7.144 7.068 6.989 6.912 7 7.712 7.677 7.631 7.593 7.553 7.510 7.460 7.413 7.347 7.294 7.236 7.167 7.103 7.026 6.948 6.870 8 7.680 7.645 7.599 7.561 7.521 7.478 7.427 7.380 7.314 7.261 7.203 7.133 7.068 6.992 6.912 6.834 9 7.595 7.560 7.515 7.477 7.436 7.393 7.343 7.295 7.231 7.177 7.119 7.049 6.984 6.908 6.829 6.750 10 7.619 7.584 7.538 7.500 7.459 7.416 7.365 7.317 7.251 7.197 7.138 7.068 7.002 6.925 6.845 6.765 11 7.562 7.527 7.482 7.444 7.403 7.359 7.309 7.261 7.196 7.141 7.082 7.012 6.946 6.869 6.789 6.708 12 7.573 7.538 7.492 7.454 7.413 7.369 7.319 7.270 7.204 7.149 7.090 7.019 6.953 6.875 6.794 6.713 13 7.532 7.497 7.451 7.413 7.371 7.328 7.278 7.229 7.164 7.108 7.049 6.978 6.911 6.833 6.752 6.670 14 7.545 7.510 7.464 7.426 7.384 7.341 7.290 7.241 7.175 7.119 7.059 6.988 6.921 6.842 6.760 6.678 15 7.502 7.467 7.422 7.383 7.342 7.298 7.248 7.199 7.133 7.077 7.017 6.946 6.878 6.800 6.718 6.636 16 7.512 7.477 7.432 7.393 7.352 7.308 7.257 7.208 7.142 7.086 7.025 6.954 6.885 6.807 6.724 6.641 17 7.463 7.427 7.383 7.344 7.302 7.258 7.208 7.159 7.094 7.037 6.977 6.906 6.837 6.759 6.677 6.593 18 7.399 7.364 7.320 7.281 7.239 7.195 7.146 7.096 7.032 6.976 6.915 6.844 6.776 6.698 6.616 6.533 19 7.445 7.410 7.365 7.326 7.284 7.240 7.190 7.140 7.075 7.018 6.957 6.886 6.817 6.738 6.655 6.572 20 7.452 7.417 7.372 7.333 7.292 7.247 7.197 7.147 7.081 7.024 6.964 6.891 6.822 6.743 6.660 6.576 21 7.387 7.352 7.308 7.269 7.228 7.183 7.134 7.084 7.019 6.962 6.901 6.830 6.761 6.682 6.599 6.515 22 7.363 7.327 7.283 7.245 7.203 7.159 7.109 7.059 6.995 6.938 6.877 6.805 6.736 6.658 6.575 6.491 23 7.338 7.303 7.260 7.221 7.179 7.135 7.085 7.035 6.971 6.914 6.853 6.781 6.712 6.634 6.551 6.467 24 7.343 7.308 7.264 7.225 7.183 7.139 7.089 7.039 6.975 6.918 6.856 6.785 6.715 6.637 6.554 6.469 25 7.322 7.287 7.243 7.204 7.162 7.118 7.068 7.018 6.954 6.897 6.835 6.764 6.694 6.616 6.533 6.449 26 7.327 7.292 7.248 7.209 7.167 7.123 7.073 7.023 6.959 6.901 6.840 6.768 6.699 6.620 6.537 6.452 27 7.306 7.270 7.227 7.188 7.146 7.101 7.052 7.002 6.938 6.880 6.819 6.747 6.677 6.599 6.516 6.431 28 7.323 7.288 7.244 7.205 7.163 7.119 7.069 7.019 6.954 6.897 6.835 6.763 6.693 6.614 6.531 6.446 29 7.283 7.248 7.204 7.165 7.123 7.079 7.029 6.979 6.915 6.858 6.796 6.724 6.654 6.576 6.493 6.408 30 7.277 7.242 7.199 7.160 7.118 7.073 7.024 6.973 6.909 6.852 6.790 6.718 6.648 6.570 6.487 6.401 EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 qcvz -5.162 -5.310 -5.471 -5.647 -5.839 -6.041 -6.272 -6.546 -6.844 -7.139 -7.468 -7.828 -8.205 -10.079 -10.364 -10.611 ---------------------------------------------------------------------------------------------------------------------------------- 3 6.805 6.712 6.611 6.501 6.382 6.257 6.115 5.948 5.764 5.574 5.368 5.141 4.901 3.609 3.399 3.231 4 6.774 6.681 6.580 6.471 6.352 6.229 6.090 5.924 5.742 5.551 5.346 5.120 4.879 3.518 3.230 2.983 5 6.774 6.680 6.580 6.471 6.352 6.229 6.089 5.924 5.743 5.551 5.346 5.121 4.880 3.573 3.318 3.089 6 6.821 6.727 6.626 6.517 6.397 6.274 6.134 5.969 5.788 5.594 5.388 5.162 4.922 3.601 3.368 3.173 7 6.779 6.684 6.583 6.473 6.353 6.229 6.088 5.922 5.739 5.544 5.337 5.111 4.871 3.603 3.405 3.241 8 6.742 6.647 6.546 6.434 6.314 6.189 6.047 5.880 5.696 5.500 5.293 5.066 4.826 3.610 3.442 3.303 9 6.658 6.562 6.460 6.348 6.227 6.101 5.959 5.790 5.605 5.410 5.202 4.975 4.735 3.560 3.403 3.265 10 6.673 6.576 6.473 6.360 6.237 6.111 5.968 5.799 5.612 5.416 5.208 4.981 4.741 3.543 3.367 3.210 11 6.616 6.518 6.415 6.301 6.178 6.051 5.906 5.736 5.549 5.354 5.146 4.919 4.679 3.468 3.279 3.109 12 6.619 6.521 6.416 6.302 6.178 6.050 5.905 5.734 5.546 5.351 5.143 4.915 4.675 3.446 3.246 3.066 13 6.577 6.478 6.373 6.258 6.133 6.005 5.859 5.688 5.499 5.304 5.096 4.869 4.629 3.386 3.177 2.989 14 6.584 6.484 6.378 6.263 6.137 6.008 5.862 5.690 5.501 5.305 5.097 4.869 4.629 3.379 3.164 2.967 15 6.541 6.442 6.335 6.219 6.093 5.964 5.817 5.645 5.455 5.260 5.051 4.824 4.583 3.312 3.091 2.894 16 6.546 6.446 6.339 6.222 6.096 5.966 5.818 5.646 5.456 5.260 5.051 4.823 4.582 3.308 3.086 2.888 17 6.498 6.398 6.291 6.174 6.047 5.917 5.769 5.596 5.406 5.210 5.001 4.773 4.531 3.272 3.067 2.890 18 6.438 6.338 6.230 6.113 5.987 5.856 5.708 5.535 5.344 5.149 4.940 4.711 4.469 3.216 3.026 2.866 19 6.476 6.375 6.267 6.150 6.023 5.891 5.743 5.569 5.378 5.182 4.972 4.742 4.500 3.282 3.115 2.973 20 6.480 6.379 6.271 6.153 6.025 5.894 5.745 5.571 5.379 5.182 4.972 4.742 4.498 3.272 3.100 2.951 21 6.420 6.319 6.210 6.093 5.965 5.834 5.685 5.510 5.318 5.122 4.911 4.681 4.437 3.246 3.087 2.944 22 6.395 6.294 6.186 6.068 5.940 5.808 5.659 5.484 5.292 5.095 4.884 4.653 4.409 3.202 3.027 2.873 23 6.371 6.270 6.162 6.043 5.916 5.784 5.635 5.459 5.266 5.069 4.858 4.627 4.382 3.169 3.000 2.851 24 6.374 6.272 6.164 6.045 5.917 5.785 5.635 5.460 5.266 5.069 4.857 4.625 4.380 3.160 2.986 2.829 25 6.353 6.251 6.143 6.024 5.896 5.764 5.614 5.438 5.244 5.046 4.834 4.601 4.356 3.121 2.940 2.781 26 6.356 6.254 6.145 6.027 5.898 5.766 5.616 5.439 5.245 5.047 4.834 4.600 4.354 3.124 2.941 2.777 27 6.335 6.233 6.124 6.005 5.877 5.744 5.594 5.417 5.222 5.024 4.810 4.577 4.330 3.091 2.904 2.735 28 6.350 6.248 6.138 6.019 5.891 5.758 5.607 5.430 5.234 5.035 4.821 4.587 4.340 3.086 2.898 2.735 29 6.312 6.210 6.101 5.982 5.853 5.720 5.569 5.391 5.196 4.997 4.782 4.548 4.300 3.075 2.899 2.743 30 6.305 6.203 6.094 5.975 5.846 5.713 5.562 5.384 5.187 4.988 4.773 4.538 4.290 3.061 2.881 2.719 EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 qcvz -10.870 -11.151 -11.463 -11.855 -12.532 -13.033 -13.236 -13.386 -13.462 -13.534 -13.596 -13.663 -------------------------------------------------------------------------------------------------- 3 3.071 2.895 2.689 2.410 1.777 1.242 1.070 0.976 0.936 0.896 0.854 0.806 4 2.744 2.554 2.348 2.091 1.583 1.153 1.015 0.909 0.853 0.799 0.752 0.701 5 2.856 2.646 2.421 2.152 1.732 1.417 1.283 1.178 1.123 1.073 1.027 0.977 6 2.984 2.808 2.611 2.364 1.961 1.622 1.471 1.361 1.309 1.263 1.220 1.172 7 3.076 2.905 2.712 2.464 2.013 1.537 1.345 1.226 1.173 1.125 1.082 1.032 8 3.147 2.965 2.757 2.487 1.925 1.410 1.212 1.084 1.030 0.979 0.936 0.885 9 3.101 2.893 2.642 2.299 1.726 1.223 1.028 0.902 0.849 0.800 0.757 0.707 10 3.033 2.826 2.590 2.278 1.672 1.169 0.968 0.837 0.783 0.730 0.686 0.634 11 2.921 2.711 2.472 2.159 1.555 1.047 0.839 0.709 0.656 0.605 0.562 0.513 12 2.869 2.657 2.416 2.102 1.493 0.966 0.764 0.641 0.587 0.535 0.492 0.442 13 2.786 2.574 2.334 2.020 1.403 0.926 0.748 0.630 0.574 0.521 0.476 0.425 14 2.755 2.537 2.290 1.964 1.391 1.030 0.894 0.791 0.737 0.687 0.642 0.594 15 2.688 2.483 2.251 1.949 1.470 1.146 1.007 0.902 0.849 0.800 0.757 0.709 16 2.684 2.486 2.270 2.009 1.580 1.215 1.050 0.934 0.881 0.832 0.790 0.741 17 2.710 2.528 2.325 2.072 1.628 1.197 0.998 0.865 0.812 0.762 0.720 0.670 18 2.699 2.518 2.315 2.052 1.537 1.077 0.893 0.773 0.721 0.671 0.629 0.579 19 2.818 2.634 2.425 2.149 1.545 1.052 0.847 0.719 0.668 0.619 0.579 0.530 20 2.787 2.595 2.375 2.085 1.519 1.040 0.850 0.727 0.674 0.623 0.581 0.532 21 2.772 2.559 2.317 2.018 1.444 0.899 0.727 0.616 0.566 0.519 0.479 0.434 22 2.703 2.506 2.285 1.994 1.364 0.896 0.736 0.626 0.571 0.520 0.475 0.425 23 2.683 2.481 2.244 1.920 1.358 0.907 0.731 0.615 0.562 0.511 0.468 0.419 24 2.649 2.438 2.202 1.908 1.345 0.894 0.730 0.616 0.563 0.513 0.470 0.421 25 2.607 2.411 2.185 1.886 1.308 0.895 0.717 0.597 0.544 0.493 0.450 0.400 26 2.594 2.388 2.154 1.853 1.307 0.889 0.721 0.605 0.552 0.502 0.458 0.409 27 2.547 2.343 2.120 1.839 1.308 0.849 0.654 0.529 0.475 0.424 0.381 0.332 28 2.560 2.368 2.148 1.860 1.319 0.836 0.615 0.484 0.430 0.378 0.335 0.284 29 2.566 2.361 2.129 1.827 1.259 0.835 0.661 0.541 0.487 0.436 0.392 0.342 30 2.538 2.333 2.100 1.796 1.245 0.801 0.625 0.506 0.452 0.400 0.356 0.306 ========================================================================================================================================== Diffusion velocities (D. Koester, Kiel 2020) log10(vdiff[cm/s] log10(rho[g/cm3]) EL Teff[K] log g = 7.500 log(rho) at bottom of cvz Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 rho 3.458 3.429 3.400 3.370 3.342 3.316 3.293 3.273 3.252 3.237 3.219 3.204 3.191 3.180 3.170 3.159 ---------------------------------------------------------------------------------------------------------------------------------- 3 -9.028 -8.990 -8.950 -8.908 -8.868 -8.828 -8.788 -8.752 -8.716 -8.685 -8.653 -8.624 -8.597 -8.572 -8.551 -8.528 4 -9.013 -8.976 -8.936 -8.896 -8.856 -8.816 -8.777 -8.742 -8.706 -8.676 -8.643 -8.614 -8.586 -8.560 -8.538 -8.513 5 -9.032 -8.994 -8.955 -8.913 -8.874 -8.835 -8.795 -8.760 -8.724 -8.694 -8.662 -8.634 -8.606 -8.580 -8.557 -8.532 6 -9.145 -9.103 -9.060 -9.015 -8.973 -8.931 -8.887 -8.851 -8.812 -8.782 -8.748 -8.719 -8.691 -8.663 -8.641 -8.615 7 -9.078 -9.038 -8.997 -8.954 -8.913 -8.873 -8.831 -8.796 -8.759 -8.730 -8.698 -8.671 -8.644 -8.618 -8.597 -8.572 8 -9.021 -8.982 -8.942 -8.901 -8.862 -8.823 -8.782 -8.749 -8.713 -8.686 -8.655 -8.629 -8.603 -8.579 -8.559 -8.535 9 -8.870 -8.836 -8.800 -8.763 -8.727 -8.692 -8.656 -8.625 -8.593 -8.568 -8.540 -8.516 -8.492 -8.470 -8.452 -8.430 10 -8.906 -8.871 -8.834 -8.795 -8.759 -8.723 -8.685 -8.654 -8.622 -8.596 -8.568 -8.544 -8.520 -8.498 -8.481 -8.459 11 -8.808 -8.775 -8.740 -8.705 -8.671 -8.637 -8.602 -8.573 -8.542 -8.519 -8.491 -8.469 -8.447 -8.426 -8.410 -8.389 12 -8.821 -8.788 -8.753 -8.717 -8.682 -8.648 -8.613 -8.584 -8.553 -8.529 -8.502 -8.480 -8.458 -8.437 -8.421 -8.401 13 -8.750 -8.718 -8.685 -8.651 -8.618 -8.586 -8.552 -8.524 -8.495 -8.473 -8.447 -8.426 -8.404 -8.385 -8.370 -8.350 14 -8.769 -8.736 -8.702 -8.668 -8.634 -8.602 -8.567 -8.539 -8.510 -8.487 -8.461 -8.440 -8.419 -8.400 -8.385 -8.365 15 -8.698 -8.667 -8.635 -8.602 -8.570 -8.539 -8.506 -8.480 -8.451 -8.430 -8.405 -8.385 -8.365 -8.346 -8.332 -8.314 16 -8.711 -8.680 -8.647 -8.614 -8.582 -8.551 -8.517 -8.491 -8.462 -8.441 -8.416 -8.396 -8.376 -8.357 -8.343 -8.325 17 -8.632 -8.602 -8.572 -8.540 -8.510 -8.480 -8.449 -8.424 -8.397 -8.377 -8.353 -8.334 -8.315 -8.297 -8.284 -8.266 18 -8.536 -8.508 -8.480 -8.450 -8.422 -8.394 -8.365 -8.342 -8.316 -8.297 -8.274 -8.256 -8.238 -8.221 -8.209 -8.192 19 -8.601 -8.572 -8.542 -8.511 -8.481 -8.453 -8.422 -8.397 -8.371 -8.351 -8.328 -8.310 -8.291 -8.274 -8.261 -8.244 20 -8.611 -8.582 -8.551 -8.520 -8.490 -8.461 -8.430 -8.406 -8.379 -8.360 -8.336 -8.318 -8.299 -8.282 -8.270 -8.253 21 -8.513 -8.486 -8.458 -8.429 -8.401 -8.374 -8.345 -8.322 -8.297 -8.279 -8.257 -8.239 -8.222 -8.206 -8.194 -8.178 22 -8.476 -8.450 -8.422 -8.394 -8.367 -8.340 -8.313 -8.290 -8.266 -8.248 -8.226 -8.209 -8.192 -8.177 -8.165 -8.149 23 -8.440 -8.415 -8.388 -8.361 -8.334 -8.308 -8.281 -8.259 -8.235 -8.218 -8.197 -8.180 -8.164 -8.148 -8.137 -8.122 24 -8.445 -8.419 -8.393 -8.365 -8.339 -8.313 -8.285 -8.263 -8.239 -8.222 -8.201 -8.185 -8.168 -8.153 -8.142 -8.126 25 -8.414 -8.389 -8.363 -8.336 -8.310 -8.285 -8.258 -8.236 -8.213 -8.196 -8.176 -8.160 -8.143 -8.128 -8.117 -8.102 26 -8.421 -8.395 -8.369 -8.342 -8.316 -8.290 -8.263 -8.242 -8.218 -8.202 -8.181 -8.165 -8.149 -8.134 -8.123 -8.108 27 -8.389 -8.364 -8.339 -8.312 -8.287 -8.262 -8.235 -8.214 -8.191 -8.175 -8.155 -8.139 -8.123 -8.109 -8.098 -8.084 28 -8.413 -8.387 -8.361 -8.334 -8.308 -8.283 -8.256 -8.235 -8.212 -8.195 -8.175 -8.159 -8.143 -8.129 -8.118 -8.104 29 -8.356 -8.332 -8.306 -8.280 -8.256 -8.231 -8.206 -8.185 -8.163 -8.147 -8.127 -8.112 -8.097 -8.083 -8.072 -8.058 30 -8.347 -8.323 -8.298 -8.272 -8.247 -8.223 -8.198 -8.177 -8.155 -8.139 -8.120 -8.105 -8.090 -8.076 -8.066 -8.052 EL Teff[K] log g = 7.500 log(rho) at bottom of cvz Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 rho 3.150 3.139 3.120 3.101 3.077 3.052 3.024 2.992 2.959 2.925 2.889 2.850 2.813 2.771 2.734 2.691 ---------------------------------------------------------------------------------------------------------------------------------- 3 -8.508 -8.490 -8.466 -8.443 -8.418 -8.389 -8.364 -8.338 -8.313 -8.288 -8.256 -8.228 -8.200 -8.172 -8.147 -8.114 4 -8.492 -8.473 -8.449 -8.425 -8.399 -8.366 -8.341 -8.314 -8.290 -8.266 -8.230 -8.203 -8.174 -8.146 -8.122 -8.087 5 -8.510 -8.492 -8.466 -8.441 -8.414 -8.378 -8.352 -8.325 -8.301 -8.277 -8.238 -8.211 -8.181 -8.153 -8.129 -8.092 6 -8.592 -8.574 -8.547 -8.520 -8.492 -8.451 -8.424 -8.395 -8.372 -8.347 -8.304 -8.276 -8.245 -8.216 -8.191 -8.151 7 -8.551 -8.533 -8.507 -8.481 -8.453 -8.412 -8.385 -8.357 -8.334 -8.309 -8.266 -8.239 -8.207 -8.178 -8.153 -8.113 8 -8.515 -8.499 -8.473 -8.448 -8.420 -8.380 -8.354 -8.326 -8.302 -8.278 -8.235 -8.208 -8.176 -8.147 -8.122 -8.082 9 -8.412 -8.397 -8.373 -8.349 -8.323 -8.286 -8.261 -8.234 -8.211 -8.186 -8.146 -8.119 -8.088 -8.060 -8.035 -7.996 10 -8.440 -8.426 -8.402 -8.378 -8.352 -8.314 -8.289 -8.262 -8.239 -8.214 -8.172 -8.145 -8.114 -8.085 -8.061 -8.021 11 -8.372 -8.358 -8.335 -8.313 -8.288 -8.251 -8.227 -8.201 -8.178 -8.154 -8.114 -8.087 -8.056 -8.028 -8.003 -7.964 12 -8.384 -8.371 -8.348 -8.326 -8.301 -8.263 -8.239 -8.213 -8.190 -8.167 -8.125 -8.099 -8.068 -8.039 -8.015 -7.975 13 -8.334 -8.321 -8.299 -8.278 -8.253 -8.218 -8.194 -8.168 -8.145 -8.122 -8.082 -8.055 -8.025 -7.997 -7.972 -7.933 14 -8.349 -8.337 -8.315 -8.293 -8.269 -8.232 -8.208 -8.183 -8.161 -8.137 -8.097 -8.070 -8.039 -8.011 -7.986 -7.947 15 -8.298 -8.286 -8.265 -8.244 -8.220 -8.185 -8.162 -8.136 -8.114 -8.091 -8.052 -8.025 -7.995 -7.967 -7.943 -7.904 16 -8.310 -8.298 -8.277 -8.256 -8.232 -8.196 -8.173 -8.148 -8.126 -8.103 -8.063 -8.036 -8.006 -7.978 -7.953 -7.914 17 -8.251 -8.240 -8.220 -8.199 -8.176 -8.142 -8.119 -8.094 -8.073 -8.050 -8.011 -7.985 -7.955 -7.927 -7.902 -7.864 18 -8.178 -8.167 -8.147 -8.128 -8.105 -8.073 -8.051 -8.026 -8.005 -7.982 -7.945 -7.919 -7.890 -7.862 -7.837 -7.801 19 -8.230 -8.219 -8.199 -8.180 -8.157 -8.123 -8.100 -8.076 -8.054 -8.031 -7.993 -7.967 -7.937 -7.909 -7.885 -7.846 20 -8.239 -8.228 -8.208 -8.189 -8.166 -8.131 -8.109 -8.084 -8.063 -8.040 -8.001 -7.975 -7.945 -7.917 -7.893 -7.854 21 -8.164 -8.154 -8.135 -8.116 -8.094 -8.061 -8.039 -8.015 -7.994 -7.971 -7.934 -7.908 -7.879 -7.851 -7.826 -7.789 22 -8.136 -8.126 -8.107 -8.088 -8.067 -8.035 -8.013 -7.989 -7.967 -7.945 -7.908 -7.882 -7.853 -7.825 -7.801 -7.764 23 -8.109 -8.099 -8.080 -8.062 -8.040 -8.009 -7.987 -7.963 -7.942 -7.920 -7.883 -7.858 -7.829 -7.801 -7.777 -7.740 24 -8.114 -8.104 -8.086 -8.067 -8.046 -8.014 -7.992 -7.969 -7.947 -7.925 -7.888 -7.862 -7.834 -7.806 -7.782 -7.745 25 -8.090 -8.080 -8.062 -8.044 -8.023 -7.992 -7.970 -7.946 -7.925 -7.903 -7.867 -7.841 -7.812 -7.784 -7.760 -7.724 26 -8.096 -8.087 -8.068 -8.050 -8.029 -7.998 -7.976 -7.952 -7.931 -7.909 -7.872 -7.847 -7.818 -7.790 -7.766 -7.729 27 -8.072 -8.062 -8.044 -8.026 -8.005 -7.975 -7.953 -7.930 -7.909 -7.886 -7.850 -7.824 -7.796 -7.768 -7.744 -7.708 28 -8.092 -8.083 -8.065 -8.046 -8.025 -7.994 -7.972 -7.949 -7.928 -7.905 -7.869 -7.843 -7.814 -7.786 -7.762 -7.725 29 -8.047 -8.038 -8.020 -8.002 -7.981 -7.951 -7.930 -7.906 -7.885 -7.863 -7.827 -7.802 -7.773 -7.745 -7.721 -7.685 30 -8.040 -8.031 -8.014 -7.996 -7.975 -7.945 -7.924 -7.900 -7.879 -7.857 -7.821 -7.796 -7.767 -7.740 -7.716 -7.679 EL Teff[K] log g = 7.500 log(rho) at bottom of cvz Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 rho 2.649 2.609 2.566 2.520 2.472 2.422 2.371 2.314 2.251 2.184 2.115 2.038 1.960 1.875 1.784 1.686 ---------------------------------------------------------------------------------------------------------------------------------- 3 -8.088 -8.062 -8.032 -8.004 -7.975 -7.945 -7.912 -7.879 -7.838 -7.800 -7.762 -7.717 -7.674 -7.625 -7.574 -7.522 4 -8.061 -8.036 -8.004 -7.976 -7.948 -7.919 -7.884 -7.852 -7.808 -7.771 -7.733 -7.687 -7.645 -7.594 -7.543 -7.491 5 -8.066 -8.041 -8.008 -7.981 -7.952 -7.923 -7.888 -7.856 -7.810 -7.774 -7.736 -7.689 -7.648 -7.596 -7.543 -7.492 6 -8.126 -8.100 -8.065 -8.038 -8.009 -7.980 -7.943 -7.911 -7.862 -7.827 -7.789 -7.740 -7.699 -7.645 -7.591 -7.540 7 -8.087 -8.062 -8.026 -7.999 -7.970 -7.941 -7.903 -7.871 -7.823 -7.787 -7.748 -7.700 -7.658 -7.604 -7.550 -7.498 8 -8.056 -8.030 -7.995 -7.967 -7.938 -7.909 -7.871 -7.839 -7.790 -7.753 -7.715 -7.666 -7.623 -7.569 -7.515 -7.462 9 -7.970 -7.945 -7.910 -7.882 -7.853 -7.824 -7.787 -7.754 -7.707 -7.670 -7.631 -7.582 -7.539 -7.485 -7.431 -7.378 10 -7.995 -7.969 -7.934 -7.906 -7.877 -7.847 -7.809 -7.776 -7.727 -7.690 -7.650 -7.601 -7.557 -7.502 -7.447 -7.393 11 -7.938 -7.912 -7.878 -7.850 -7.820 -7.790 -7.753 -7.720 -7.672 -7.634 -7.594 -7.545 -7.501 -7.446 -7.391 -7.337 12 -7.949 -7.923 -7.888 -7.860 -7.831 -7.800 -7.762 -7.729 -7.680 -7.642 -7.602 -7.552 -7.508 -7.452 -7.396 -7.341 13 -7.908 -7.882 -7.847 -7.819 -7.789 -7.759 -7.721 -7.688 -7.639 -7.601 -7.561 -7.511 -7.466 -7.410 -7.354 -7.299 14 -7.921 -7.895 -7.860 -7.832 -7.802 -7.772 -7.734 -7.700 -7.651 -7.612 -7.572 -7.521 -7.476 -7.419 -7.363 -7.307 15 -7.878 -7.852 -7.818 -7.789 -7.760 -7.729 -7.691 -7.657 -7.609 -7.570 -7.529 -7.479 -7.433 -7.377 -7.321 -7.264 16 -7.888 -7.862 -7.827 -7.799 -7.769 -7.739 -7.701 -7.666 -7.617 -7.578 -7.537 -7.486 -7.440 -7.384 -7.327 -7.270 17 -7.838 -7.813 -7.778 -7.750 -7.720 -7.690 -7.652 -7.618 -7.570 -7.530 -7.489 -7.438 -7.392 -7.336 -7.279 -7.222 18 -7.775 -7.749 -7.715 -7.687 -7.657 -7.626 -7.590 -7.555 -7.508 -7.469 -7.427 -7.377 -7.331 -7.275 -7.218 -7.161 19 -7.821 -7.795 -7.760 -7.732 -7.702 -7.671 -7.634 -7.599 -7.551 -7.511 -7.470 -7.419 -7.372 -7.315 -7.258 -7.200 20 -7.828 -7.802 -7.768 -7.739 -7.709 -7.679 -7.640 -7.606 -7.557 -7.517 -7.476 -7.424 -7.377 -7.320 -7.263 -7.204 21 -7.763 -7.737 -7.704 -7.675 -7.645 -7.614 -7.577 -7.542 -7.495 -7.455 -7.413 -7.362 -7.316 -7.259 -7.202 -7.144 22 -7.738 -7.713 -7.679 -7.651 -7.621 -7.590 -7.553 -7.518 -7.471 -7.431 -7.389 -7.338 -7.291 -7.235 -7.177 -7.119 23 -7.714 -7.688 -7.655 -7.627 -7.597 -7.566 -7.529 -7.494 -7.447 -7.407 -7.365 -7.314 -7.267 -7.211 -7.154 -7.095 24 -7.719 -7.693 -7.660 -7.631 -7.601 -7.570 -7.533 -7.498 -7.451 -7.411 -7.368 -7.318 -7.270 -7.214 -7.156 -7.098 25 -7.698 -7.672 -7.639 -7.610 -7.580 -7.549 -7.512 -7.477 -7.430 -7.390 -7.347 -7.297 -7.249 -7.193 -7.136 -7.077 26 -7.703 -7.677 -7.644 -7.615 -7.585 -7.554 -7.517 -7.482 -7.435 -7.394 -7.352 -7.301 -7.254 -7.197 -7.139 -7.080 27 -7.681 -7.656 -7.622 -7.594 -7.564 -7.532 -7.496 -7.460 -7.414 -7.373 -7.331 -7.280 -7.232 -7.176 -7.118 -7.059 28 -7.699 -7.674 -7.640 -7.611 -7.581 -7.550 -7.513 -7.478 -7.430 -7.390 -7.347 -7.296 -7.248 -7.192 -7.133 -7.074 29 -7.659 -7.633 -7.600 -7.571 -7.541 -7.510 -7.473 -7.438 -7.391 -7.351 -7.308 -7.257 -7.209 -7.153 -7.095 -7.036 30 -7.653 -7.627 -7.594 -7.566 -7.535 -7.504 -7.467 -7.432 -7.385 -7.345 -7.302 -7.251 -7.203 -7.147 -7.089 -7.030 EL Teff[K] log g = 7.500 log(rho) at bottom of cvz Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 rho 1.579 1.461 1.333 1.192 1.038 0.876 0.690 0.469 0.235 0.002 -0.264 -0.556 -0.863 -2.398 -2.641 -2.852 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.462 -7.400 -7.332 -7.258 -7.177 -7.092 -6.996 -6.882 -6.762 -6.635 -6.492 -6.334 -6.164 -5.212 -5.045 -4.912 4 -7.431 -7.369 -7.301 -7.228 -7.148 -7.065 -6.970 -6.858 -6.740 -6.612 -6.470 -6.312 -6.143 -5.120 -4.876 -4.664 5 -7.431 -7.368 -7.301 -7.228 -7.147 -7.064 -6.969 -6.858 -6.741 -6.612 -6.470 -6.313 -6.144 -5.176 -4.964 -4.770 6 -7.478 -7.415 -7.347 -7.273 -7.193 -7.109 -7.015 -6.903 -6.786 -6.654 -6.512 -6.355 -6.186 -5.204 -5.014 -4.854 7 -7.436 -7.372 -7.304 -7.230 -7.148 -7.064 -6.969 -6.856 -6.737 -6.605 -6.461 -6.303 -6.134 -5.206 -5.050 -4.922 8 -7.399 -7.335 -7.267 -7.191 -7.109 -7.024 -6.928 -6.814 -6.694 -6.561 -6.417 -6.258 -6.089 -5.213 -5.087 -4.984 9 -7.315 -7.250 -7.181 -7.105 -7.022 -6.937 -6.839 -6.724 -6.603 -6.471 -6.326 -6.168 -5.999 -5.163 -5.049 -4.946 10 -7.330 -7.264 -7.194 -7.117 -7.033 -6.946 -6.848 -6.732 -6.610 -6.477 -6.332 -6.174 -6.005 -5.146 -5.013 -4.891 11 -7.273 -7.206 -7.136 -7.058 -6.973 -6.886 -6.787 -6.670 -6.547 -6.415 -6.270 -6.111 -5.943 -5.071 -4.924 -4.790 12 -7.276 -7.209 -7.137 -7.059 -6.973 -6.885 -6.785 -6.668 -6.545 -6.412 -6.267 -6.108 -5.939 -5.049 -4.892 -4.747 13 -7.234 -7.166 -7.094 -7.015 -6.929 -6.840 -6.740 -6.622 -6.497 -6.365 -6.220 -6.061 -5.892 -4.989 -4.823 -4.670 14 -7.241 -7.172 -7.099 -7.020 -6.933 -6.843 -6.742 -6.624 -6.499 -6.366 -6.221 -6.062 -5.893 -4.982 -4.810 -4.648 15 -7.198 -7.129 -7.056 -6.976 -6.889 -6.799 -6.697 -6.578 -6.453 -6.320 -6.175 -6.016 -5.847 -4.915 -4.737 -4.575 16 -7.203 -7.134 -7.060 -6.979 -6.891 -6.801 -6.699 -6.579 -6.454 -6.321 -6.175 -6.015 -5.845 -4.910 -4.731 -4.569 17 -7.155 -7.086 -7.012 -6.931 -6.843 -6.752 -6.650 -6.530 -6.404 -6.271 -6.125 -5.965 -5.795 -4.874 -4.712 -4.571 18 -7.095 -7.026 -6.951 -6.870 -6.782 -6.692 -6.589 -6.469 -6.342 -6.210 -6.064 -5.903 -5.733 -4.819 -4.672 -4.547 19 -7.133 -7.063 -6.988 -6.906 -6.818 -6.727 -6.624 -6.503 -6.376 -6.243 -6.096 -5.935 -5.764 -4.885 -4.761 -4.654 20 -7.137 -7.067 -6.992 -6.909 -6.821 -6.729 -6.625 -6.504 -6.377 -6.243 -6.096 -5.934 -5.762 -4.875 -4.745 -4.632 21 -7.077 -7.007 -6.932 -6.849 -6.761 -6.669 -6.565 -6.444 -6.316 -6.182 -6.035 -5.873 -5.701 -4.849 -4.732 -4.625 22 -7.052 -6.982 -6.907 -6.824 -6.736 -6.644 -6.540 -6.418 -6.290 -6.156 -6.008 -5.846 -5.673 -4.805 -4.673 -4.554 23 -7.028 -6.958 -6.883 -6.800 -6.711 -6.619 -6.515 -6.393 -6.264 -6.130 -5.982 -5.819 -5.646 -4.772 -4.645 -4.532 24 -7.031 -6.960 -6.885 -6.802 -6.713 -6.620 -6.516 -6.393 -6.264 -6.130 -5.981 -5.817 -5.643 -4.763 -4.631 -4.510 25 -7.010 -6.939 -6.864 -6.781 -6.691 -6.599 -6.494 -6.371 -6.242 -6.107 -5.958 -5.794 -5.619 -4.724 -4.585 -4.462 26 -7.013 -6.942 -6.866 -6.783 -6.694 -6.601 -6.496 -6.373 -6.243 -6.107 -5.958 -5.793 -5.618 -4.727 -4.586 -4.458 27 -6.992 -6.921 -6.845 -6.762 -6.672 -6.580 -6.474 -6.351 -6.220 -6.085 -5.934 -5.769 -5.594 -4.694 -4.550 -4.416 28 -7.007 -6.936 -6.859 -6.776 -6.686 -6.593 -6.487 -6.363 -6.232 -6.096 -5.945 -5.779 -5.604 -4.689 -4.544 -4.416 29 -6.969 -6.898 -6.822 -6.738 -6.648 -6.555 -6.449 -6.325 -6.194 -6.058 -5.906 -5.740 -5.564 -4.677 -4.545 -4.424 30 -6.962 -6.891 -6.815 -6.732 -6.641 -6.548 -6.442 -6.317 -6.185 -6.049 -5.897 -5.731 -5.554 -4.664 -4.526 -4.400 EL Teff[K] log g = 7.500 log(rho) at bottom of cvz Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 rho -3.073 -3.312 -3.576 -3.903 -4.428 -4.799 -4.957 -5.085 -5.155 -5.221 -5.278 -5.340 -------------------------------------------------------------------------------------------------- 3 -4.790 -4.656 -4.498 -4.284 -3.804 -3.398 -3.272 -3.200 -3.165 -3.132 -3.094 -3.052 4 -4.463 -4.315 -4.157 -3.966 -3.609 -3.310 -3.217 -3.133 -3.082 -3.035 -2.992 -2.947 5 -4.575 -4.407 -4.230 -4.026 -3.758 -3.573 -3.484 -3.402 -3.353 -3.308 -3.267 -3.223 6 -4.703 -4.569 -4.419 -4.238 -3.987 -3.778 -3.672 -3.585 -3.539 -3.499 -3.460 -3.418 7 -4.795 -4.666 -4.521 -4.338 -4.040 -3.694 -3.547 -3.450 -3.403 -3.360 -3.322 -3.278 8 -4.866 -4.726 -4.566 -4.361 -3.951 -3.566 -3.414 -3.308 -3.259 -3.215 -3.176 -3.131 9 -4.820 -4.654 -4.451 -4.174 -3.753 -3.379 -3.230 -3.126 -3.079 -3.035 -2.997 -2.953 10 -4.752 -4.587 -4.398 -4.153 -3.698 -3.325 -3.170 -3.061 -3.012 -2.966 -2.926 -2.880 11 -4.640 -4.472 -4.280 -4.034 -3.581 -3.203 -3.041 -2.933 -2.885 -2.841 -2.802 -2.759 12 -4.588 -4.418 -4.225 -3.976 -3.519 -3.123 -2.966 -2.865 -2.816 -2.771 -2.732 -2.688 13 -4.505 -4.335 -4.142 -3.895 -3.429 -3.082 -2.950 -2.854 -2.804 -2.757 -2.716 -2.671 14 -4.474 -4.298 -4.099 -3.838 -3.418 -3.186 -3.096 -3.015 -2.967 -2.923 -2.882 -2.840 15 -4.407 -4.244 -4.060 -3.824 -3.496 -3.302 -3.208 -3.126 -3.079 -3.036 -2.997 -2.955 16 -4.403 -4.247 -4.078 -3.884 -3.606 -3.371 -3.251 -3.158 -3.111 -3.068 -3.030 -2.987 17 -4.429 -4.289 -4.134 -3.947 -3.655 -3.354 -3.200 -3.089 -3.042 -2.998 -2.960 -2.916 18 -4.418 -4.279 -4.124 -3.926 -3.563 -3.233 -3.094 -2.997 -2.950 -2.907 -2.869 -2.825 19 -4.537 -4.395 -4.234 -4.023 -3.572 -3.208 -3.049 -2.943 -2.898 -2.855 -2.818 -2.776 20 -4.506 -4.356 -4.184 -3.960 -3.545 -3.196 -3.052 -2.951 -2.903 -2.859 -2.821 -2.778 21 -4.491 -4.320 -4.126 -3.892 -3.471 -3.055 -2.929 -2.840 -2.796 -2.755 -2.719 -2.680 22 -4.422 -4.267 -4.094 -3.869 -3.390 -3.053 -2.938 -2.850 -2.801 -2.755 -2.715 -2.671 23 -4.402 -4.242 -4.053 -3.795 -3.384 -3.064 -2.933 -2.839 -2.792 -2.747 -2.708 -2.665 24 -4.368 -4.199 -4.011 -3.782 -3.372 -3.050 -2.931 -2.840 -2.793 -2.749 -2.710 -2.667 25 -4.326 -4.171 -3.994 -3.761 -3.334 -3.051 -2.919 -2.821 -2.773 -2.729 -2.690 -2.646 26 -4.313 -4.149 -3.963 -3.728 -3.333 -3.045 -2.923 -2.830 -2.782 -2.737 -2.698 -2.655 27 -4.266 -4.104 -3.929 -3.714 -3.334 -3.005 -2.856 -2.753 -2.705 -2.660 -2.621 -2.578 28 -4.279 -4.128 -3.957 -3.734 -3.346 -2.992 -2.816 -2.708 -2.659 -2.614 -2.575 -2.530 29 -4.285 -4.122 -3.938 -3.702 -3.286 -2.992 -2.863 -2.766 -2.717 -2.672 -2.632 -2.588 30 -4.257 -4.094 -3.908 -3.671 -3.272 -2.957 -2.827 -2.730 -2.681 -2.636 -2.596 -2.552 ==================================================================================================================================== Diffusion time scales (D. Koester, Kiel 2020) log10(taudiff[yrs]) log10(qvz) EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -4.237 -4.286 -4.334 -4.380 -4.418 -4.459 -4.487 -4.506 -4.522 -4.533 -4.544 -4.551 -4.557 -4.564 -4.567 -4.577 ---------------------------------------------------------------------------------------------------------------------------------- 3 7.541 7.488 7.434 7.381 7.333 7.282 7.241 7.208 7.176 7.150 7.125 7.104 7.082 7.062 7.046 7.024 4 7.511 7.458 7.405 7.352 7.305 7.255 7.214 7.181 7.151 7.126 7.101 7.081 7.061 7.042 7.025 7.003 5 7.515 7.462 7.408 7.354 7.308 7.258 7.216 7.184 7.154 7.130 7.106 7.087 7.066 7.049 7.032 7.011 6 7.604 7.548 7.490 7.433 7.385 7.332 7.289 7.255 7.223 7.199 7.173 7.154 7.133 7.116 7.099 7.078 7 7.533 7.479 7.422 7.367 7.320 7.269 7.227 7.194 7.164 7.141 7.117 7.099 7.080 7.063 7.048 7.028 8 7.473 7.420 7.364 7.310 7.264 7.215 7.174 7.142 7.113 7.092 7.069 7.052 7.034 7.018 7.004 6.985 9 7.331 7.281 7.229 7.178 7.135 7.089 7.051 7.023 6.996 6.976 6.956 6.941 6.924 6.911 6.898 6.880 10 7.355 7.304 7.251 7.200 7.156 7.109 7.071 7.042 7.015 6.996 6.975 6.960 6.944 6.930 6.918 6.900 11 7.261 7.212 7.162 7.112 7.071 7.026 6.989 6.962 6.937 6.919 6.899 6.886 6.871 6.858 6.847 6.830 12 7.267 7.218 7.167 7.117 7.075 7.030 6.993 6.966 6.941 6.923 6.904 6.891 6.875 6.863 6.852 6.836 13 7.199 7.151 7.101 7.053 7.012 6.969 6.933 6.908 6.884 6.866 6.848 6.836 6.822 6.810 6.800 6.784 14 7.210 7.162 7.111 7.063 7.022 6.978 6.943 6.917 6.893 6.875 6.857 6.845 6.831 6.820 6.809 6.794 15 7.142 7.095 7.046 6.999 6.960 6.917 6.883 6.858 6.835 6.819 6.802 6.790 6.777 6.767 6.757 6.743 16 7.150 7.103 7.053 7.006 6.966 6.923 6.889 6.864 6.841 6.825 6.808 6.797 6.784 6.773 6.764 6.749 17 7.076 7.030 6.982 6.936 6.898 6.857 6.824 6.800 6.778 6.763 6.747 6.736 6.724 6.714 6.706 6.692 18 6.986 6.941 6.896 6.851 6.815 6.775 6.744 6.721 6.701 6.686 6.671 6.662 6.650 6.641 6.633 6.620 19 7.041 6.996 6.948 6.903 6.865 6.825 6.792 6.769 6.748 6.734 6.718 6.708 6.696 6.687 6.679 6.666 20 7.047 7.001 6.953 6.908 6.870 6.829 6.797 6.774 6.753 6.738 6.722 6.713 6.701 6.692 6.684 6.671 21 6.956 6.912 6.867 6.823 6.787 6.747 6.717 6.695 6.675 6.662 6.647 6.638 6.627 6.619 6.612 6.599 22 6.920 6.877 6.832 6.789 6.753 6.714 6.684 6.663 6.644 6.630 6.616 6.608 6.597 6.589 6.583 6.571 23 6.885 6.843 6.798 6.756 6.721 6.682 6.653 6.632 6.613 6.601 6.587 6.579 6.569 6.561 6.555 6.543 24 6.887 6.845 6.800 6.757 6.722 6.684 6.654 6.634 6.615 6.602 6.589 6.581 6.571 6.563 6.557 6.545 25 6.857 6.815 6.771 6.729 6.694 6.656 6.627 6.607 6.589 6.576 6.563 6.555 6.546 6.538 6.532 6.521 26 6.860 6.818 6.774 6.732 6.697 6.659 6.630 6.610 6.592 6.579 6.566 6.559 6.549 6.542 6.536 6.525 27 6.830 6.788 6.745 6.703 6.668 6.631 6.603 6.583 6.565 6.553 6.540 6.533 6.524 6.517 6.511 6.500 28 6.849 6.807 6.763 6.721 6.686 6.649 6.620 6.600 6.582 6.570 6.557 6.550 6.540 6.534 6.528 6.517 29 6.796 6.755 6.712 6.670 6.636 6.600 6.572 6.552 6.535 6.523 6.511 6.504 6.495 6.489 6.483 6.473 30 6.786 6.745 6.702 6.661 6.627 6.590 6.562 6.543 6.526 6.515 6.503 6.496 6.487 6.481 6.476 6.465 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -4.583 -4.593 -4.595 -4.601 -4.608 -4.617 -4.624 -4.638 -4.653 -4.671 -4.695 -4.722 -4.752 -4.788 -4.822 -4.860 ---------------------------------------------------------------------------------------------------------------------------------- 3 7.007 6.988 6.974 6.960 6.947 6.931 6.918 6.901 6.885 6.867 6.840 6.817 6.792 6.763 6.736 6.706 4 6.986 6.966 6.952 6.937 6.923 6.906 6.892 6.874 6.859 6.840 6.809 6.786 6.761 6.732 6.704 6.675 5 6.995 6.975 6.961 6.946 6.933 6.916 6.901 6.882 6.867 6.848 6.815 6.791 6.766 6.736 6.708 6.679 6 7.062 7.042 7.027 7.012 6.999 6.981 6.967 6.947 6.933 6.913 6.876 6.851 6.826 6.795 6.767 6.737 7 7.013 6.994 6.981 6.967 6.955 6.938 6.924 6.905 6.892 6.873 6.836 6.811 6.787 6.756 6.728 6.698 8 6.971 6.953 6.941 6.928 6.917 6.901 6.888 6.870 6.857 6.838 6.802 6.778 6.754 6.723 6.695 6.666 9 6.868 6.852 6.841 6.829 6.820 6.805 6.793 6.776 6.764 6.746 6.712 6.689 6.665 6.636 6.608 6.579 10 6.888 6.872 6.862 6.850 6.841 6.826 6.815 6.798 6.786 6.769 6.734 6.711 6.687 6.657 6.630 6.600 11 6.819 6.804 6.795 6.784 6.776 6.762 6.751 6.735 6.724 6.707 6.673 6.651 6.627 6.598 6.571 6.542 12 6.825 6.810 6.801 6.790 6.783 6.769 6.759 6.743 6.732 6.715 6.681 6.659 6.636 6.606 6.579 6.550 13 6.774 6.760 6.751 6.742 6.734 6.722 6.712 6.696 6.686 6.669 6.636 6.614 6.591 6.563 6.536 6.507 14 6.784 6.770 6.762 6.752 6.745 6.732 6.723 6.707 6.697 6.681 6.647 6.625 6.603 6.574 6.547 6.518 15 6.733 6.720 6.712 6.703 6.696 6.684 6.675 6.660 6.650 6.634 6.602 6.580 6.558 6.529 6.503 6.474 16 6.740 6.727 6.719 6.710 6.704 6.692 6.683 6.668 6.658 6.643 6.610 6.588 6.566 6.537 6.511 6.482 17 6.683 6.671 6.664 6.655 6.649 6.638 6.629 6.615 6.605 6.590 6.558 6.537 6.515 6.486 6.460 6.432 18 6.612 6.601 6.594 6.586 6.580 6.569 6.561 6.548 6.538 6.523 6.493 6.472 6.450 6.422 6.396 6.367 19 6.658 6.646 6.639 6.631 6.626 6.615 6.607 6.593 6.583 6.568 6.537 6.516 6.494 6.466 6.439 6.411 20 6.663 6.651 6.645 6.637 6.632 6.621 6.613 6.599 6.590 6.575 6.543 6.522 6.500 6.472 6.446 6.417 21 6.592 6.581 6.575 6.567 6.563 6.552 6.544 6.531 6.522 6.507 6.477 6.456 6.434 6.407 6.381 6.353 22 6.564 6.553 6.547 6.540 6.535 6.525 6.518 6.504 6.495 6.481 6.451 6.430 6.409 6.381 6.355 6.327 23 6.536 6.525 6.520 6.513 6.509 6.499 6.492 6.479 6.470 6.455 6.426 6.405 6.384 6.356 6.330 6.303 24 6.539 6.528 6.523 6.516 6.512 6.502 6.495 6.482 6.473 6.459 6.429 6.409 6.387 6.360 6.334 6.306 25 6.515 6.504 6.499 6.493 6.489 6.479 6.472 6.459 6.451 6.436 6.407 6.387 6.366 6.338 6.312 6.284 26 6.518 6.508 6.503 6.497 6.493 6.483 6.476 6.464 6.455 6.441 6.412 6.391 6.370 6.343 6.317 6.289 27 6.494 6.484 6.479 6.473 6.469 6.460 6.453 6.441 6.432 6.418 6.389 6.369 6.348 6.320 6.295 6.267 28 6.511 6.501 6.496 6.490 6.486 6.477 6.470 6.458 6.450 6.436 6.406 6.386 6.365 6.337 6.312 6.284 29 6.467 6.458 6.453 6.447 6.444 6.435 6.428 6.416 6.408 6.394 6.365 6.345 6.324 6.297 6.271 6.244 30 6.460 6.450 6.446 6.440 6.437 6.428 6.421 6.409 6.401 6.387 6.359 6.339 6.318 6.290 6.265 6.237 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -4.899 -4.942 -4.983 -5.028 -5.076 -5.127 -5.177 -5.227 -5.285 -5.347 -5.413 -5.488 -5.566 -5.651 -5.737 -5.831 ---------------------------------------------------------------------------------------------------------------------------------- 3 6.672 6.640 6.610 6.577 6.542 6.502 6.467 6.432 6.391 6.342 6.297 6.244 6.190 6.134 6.073 6.011 4 6.639 6.607 6.577 6.545 6.510 6.468 6.433 6.398 6.358 6.306 6.262 6.207 6.154 6.098 6.036 5.974 5 6.640 6.609 6.578 6.546 6.511 6.468 6.433 6.398 6.357 6.304 6.259 6.204 6.150 6.094 6.031 5.968 6 6.696 6.664 6.633 6.601 6.565 6.520 6.485 6.449 6.408 6.352 6.307 6.250 6.196 6.140 6.074 6.011 7 6.657 6.625 6.594 6.562 6.525 6.480 6.445 6.410 6.368 6.311 6.266 6.209 6.155 6.098 6.033 5.969 8 6.624 6.593 6.562 6.529 6.493 6.448 6.412 6.377 6.336 6.278 6.233 6.175 6.121 6.064 5.998 5.934 9 6.539 6.508 6.477 6.444 6.408 6.364 6.329 6.293 6.252 6.196 6.151 6.094 6.039 5.982 5.916 5.852 10 6.560 6.528 6.498 6.465 6.429 6.384 6.349 6.313 6.271 6.215 6.169 6.111 6.056 5.998 5.932 5.866 11 6.503 6.471 6.441 6.408 6.372 6.328 6.293 6.257 6.215 6.159 6.113 6.056 6.001 5.943 5.877 5.811 12 6.511 6.479 6.449 6.416 6.380 6.336 6.300 6.264 6.222 6.166 6.120 6.062 6.006 5.948 5.881 5.815 13 6.468 6.437 6.406 6.374 6.338 6.294 6.258 6.222 6.181 6.125 6.078 6.021 5.965 5.906 5.840 5.774 14 6.479 6.447 6.417 6.385 6.349 6.304 6.269 6.233 6.191 6.134 6.088 6.030 5.974 5.915 5.848 5.781 15 6.435 6.404 6.374 6.342 6.306 6.262 6.226 6.190 6.148 6.092 6.046 5.988 5.932 5.873 5.806 5.740 16 6.443 6.412 6.382 6.349 6.313 6.269 6.233 6.197 6.155 6.099 6.052 5.994 5.938 5.879 5.812 5.745 17 6.393 6.362 6.332 6.300 6.264 6.221 6.185 6.149 6.107 6.051 6.005 5.947 5.891 5.831 5.765 5.698 18 6.330 6.299 6.269 6.237 6.201 6.159 6.123 6.087 6.045 5.991 5.944 5.887 5.831 5.771 5.705 5.638 19 6.373 6.342 6.312 6.280 6.244 6.200 6.164 6.128 6.086 6.031 5.984 5.926 5.870 5.810 5.743 5.676 20 6.379 6.348 6.318 6.286 6.250 6.206 6.170 6.134 6.092 6.036 5.989 5.931 5.875 5.815 5.748 5.680 21 6.315 6.284 6.254 6.222 6.186 6.143 6.108 6.071 6.029 5.975 5.928 5.870 5.814 5.754 5.688 5.621 22 6.290 6.259 6.229 6.197 6.161 6.119 6.083 6.047 6.005 5.950 5.903 5.846 5.790 5.730 5.664 5.596 23 6.266 6.235 6.205 6.173 6.137 6.095 6.059 6.023 5.980 5.927 5.880 5.822 5.766 5.706 5.640 5.573 24 6.269 6.238 6.208 6.176 6.141 6.098 6.062 6.026 5.984 5.930 5.883 5.825 5.769 5.708 5.642 5.575 25 6.248 6.217 6.187 6.155 6.119 6.077 6.041 6.005 5.963 5.909 5.862 5.804 5.748 5.688 5.622 5.554 26 6.252 6.221 6.192 6.159 6.124 6.081 6.045 6.009 5.967 5.913 5.866 5.808 5.752 5.691 5.625 5.557 27 6.231 6.200 6.170 6.138 6.102 6.060 6.024 5.987 5.945 5.892 5.844 5.787 5.730 5.670 5.604 5.536 28 6.247 6.216 6.186 6.154 6.118 6.076 6.040 6.004 5.961 5.907 5.860 5.802 5.746 5.685 5.619 5.551 29 6.207 6.176 6.147 6.115 6.079 6.037 6.001 5.964 5.922 5.869 5.821 5.764 5.707 5.647 5.581 5.513 30 6.201 6.170 6.140 6.108 6.073 6.030 5.994 5.958 5.916 5.862 5.815 5.758 5.701 5.641 5.575 5.507 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 qcvz -5.928 -6.030 -6.139 -6.252 -6.381 -6.522 -6.674 -6.833 -7.001 -7.183 -7.385 -7.624 -7.880 -9.048 -10.654 -11.030 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.944 5.878 5.806 5.733 5.650 5.560 5.465 5.365 5.261 5.150 5.026 4.882 4.724 3.987 2.945 2.638 4 5.906 5.841 5.767 5.694 5.611 5.520 5.425 5.326 5.221 5.110 4.987 4.844 4.687 3.953 2.910 2.540 5 5.900 5.835 5.761 5.687 5.603 5.512 5.417 5.317 5.212 5.101 4.977 4.834 4.676 3.942 2.902 2.585 6 5.941 5.876 5.800 5.726 5.641 5.549 5.453 5.352 5.247 5.135 5.011 4.869 4.710 3.972 2.934 2.625 7 5.898 5.832 5.756 5.682 5.596 5.503 5.407 5.305 5.199 5.086 4.961 4.817 4.657 3.917 2.885 2.617 8 5.863 5.796 5.719 5.644 5.558 5.464 5.367 5.264 5.157 5.043 4.918 4.773 4.611 3.870 2.841 2.612 9 5.781 5.714 5.637 5.562 5.475 5.381 5.283 5.180 5.072 4.957 4.831 4.684 4.521 3.781 2.756 2.544 10 5.795 5.727 5.650 5.573 5.486 5.390 5.291 5.187 5.079 4.963 4.836 4.688 4.525 3.784 2.756 2.531 11 5.740 5.672 5.594 5.517 5.429 5.334 5.234 5.129 5.020 4.903 4.776 4.627 4.463 3.722 2.695 2.457 12 5.743 5.675 5.596 5.519 5.430 5.334 5.233 5.128 5.018 4.901 4.772 4.623 4.458 3.717 2.686 2.437 13 5.702 5.633 5.555 5.477 5.388 5.291 5.190 5.084 4.974 4.856 4.727 4.578 4.412 3.670 2.638 2.380 14 5.709 5.640 5.560 5.482 5.393 5.295 5.194 5.087 4.976 4.858 4.728 4.578 4.413 3.669 2.634 2.371 15 5.668 5.598 5.519 5.440 5.351 5.253 5.151 5.045 4.933 4.815 4.685 4.534 4.368 3.624 2.586 2.315 16 5.672 5.602 5.523 5.444 5.354 5.256 5.153 5.046 4.935 4.816 4.685 4.534 4.368 3.622 2.581 2.306 17 5.626 5.555 5.476 5.397 5.307 5.209 5.107 5.000 4.888 4.769 4.638 4.487 4.320 3.572 2.530 2.274 18 5.566 5.496 5.417 5.339 5.249 5.151 5.048 4.941 4.829 4.710 4.579 4.427 4.260 3.512 2.469 2.219 19 5.604 5.533 5.454 5.374 5.284 5.186 5.083 4.975 4.863 4.743 4.612 4.459 4.291 3.540 2.495 2.278 20 5.607 5.537 5.457 5.378 5.287 5.188 5.085 4.977 4.864 4.744 4.613 4.460 4.292 3.538 2.490 2.262 21 5.548 5.478 5.398 5.319 5.228 5.130 5.027 4.919 4.807 4.687 4.555 4.402 4.233 3.479 2.431 2.227 22 5.524 5.453 5.374 5.295 5.204 5.106 5.002 4.894 4.782 4.662 4.530 4.376 4.207 3.451 2.402 2.183 23 5.500 5.430 5.350 5.271 5.181 5.082 4.979 4.871 4.758 4.638 4.506 4.352 4.182 3.425 2.374 2.157 24 5.503 5.432 5.352 5.273 5.182 5.083 4.980 4.872 4.759 4.638 4.506 4.351 4.181 3.422 2.370 2.147 25 5.482 5.411 5.331 5.252 5.161 5.063 4.959 4.851 4.738 4.617 4.484 4.330 4.159 3.398 2.345 2.113 26 5.485 5.414 5.334 5.255 5.164 5.065 4.961 4.853 4.739 4.618 4.486 4.330 4.160 3.396 2.342 2.110 27 5.464 5.393 5.313 5.234 5.143 5.044 4.940 4.832 4.718 4.597 4.464 4.309 4.138 3.373 2.317 2.079 28 5.478 5.407 5.327 5.248 5.156 5.057 4.953 4.844 4.731 4.609 4.476 4.320 4.149 3.382 2.325 2.082 29 5.441 5.370 5.290 5.210 5.119 5.020 4.916 4.807 4.694 4.572 4.439 4.283 4.111 3.343 2.287 2.063 30 5.434 5.363 5.283 5.204 5.113 5.014 4.909 4.800 4.687 4.565 4.431 4.275 4.103 3.333 2.276 2.048 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 qcvz -11.211 -11.393 -11.588 -11.797 -12.033 -12.332 -12.752 -13.760 -14.009 -14.202 -14.280 -14.346 -------------------------------------------------------------------------------------------------- 3 2.498 2.364 2.226 2.083 1.933 1.733 1.425 0.394 0.212 0.073 0.030 -0.004 4 2.357 2.173 1.971 1.756 1.597 1.403 1.134 0.353 0.180 0.048 -0.009 -0.058 5 2.426 2.265 2.086 1.890 1.719 1.512 1.232 0.607 0.442 0.312 0.257 0.210 6 2.481 2.340 2.190 2.032 1.885 1.699 1.438 0.807 0.627 0.481 0.429 0.384 7 2.494 2.375 2.249 2.117 1.976 1.793 1.526 0.734 0.507 0.341 0.287 0.242 8 2.508 2.408 2.296 2.176 2.025 1.825 1.529 0.618 0.382 0.205 0.147 0.100 9 2.443 2.341 2.225 2.092 1.916 1.675 1.327 0.428 0.196 0.021 -0.036 -0.082 10 2.421 2.310 2.184 2.043 1.873 1.647 1.315 0.378 0.141 -0.039 -0.098 -0.146 11 2.341 2.221 2.085 1.934 1.760 1.533 1.199 0.257 0.011 -0.172 -0.229 -0.275 12 2.315 2.188 2.044 1.884 1.708 1.479 1.144 0.173 -0.078 -0.238 -0.296 -0.343 13 2.253 2.120 1.971 1.804 1.628 1.399 1.064 0.132 -0.082 -0.238 -0.295 -0.344 14 2.239 2.101 1.945 1.769 1.586 1.349 1.002 0.218 0.051 -0.080 -0.134 -0.180 15 2.181 2.043 1.889 1.718 1.546 1.324 1.006 0.331 0.163 0.028 -0.025 -0.071 16 2.171 2.033 1.880 1.714 1.552 1.352 1.080 0.403 0.209 0.055 -0.000 -0.046 17 2.152 2.030 1.897 1.757 1.605 1.412 1.142 0.398 0.167 -0.018 -0.076 -0.123 18 2.104 1.990 1.867 1.736 1.585 1.390 1.106 0.275 0.056 -0.107 -0.162 -0.208 19 2.178 2.078 1.970 1.853 1.700 1.498 1.196 0.255 0.012 -0.167 -0.223 -0.267 20 2.157 2.052 1.935 1.808 1.649 1.439 1.128 0.243 0.017 -0.152 -0.209 -0.255 21 2.128 2.026 1.909 1.775 1.602 1.379 1.068 0.082 -0.115 -0.266 -0.319 -0.363 22 2.079 1.973 1.855 1.727 1.566 1.355 1.036 0.095 -0.112 -0.248 -0.305 -0.353 23 2.055 1.950 1.833 1.701 1.531 1.300 0.960 0.112 -0.104 -0.260 -0.316 -0.362 24 2.040 1.929 1.803 1.662 1.491 1.271 0.960 0.088 -0.110 -0.260 -0.315 -0.361 25 2.004 1.893 1.770 1.635 1.471 1.255 0.927 0.092 -0.118 -0.280 -0.336 -0.383 26 1.999 1.885 1.755 1.612 1.442 1.220 0.901 0.085 -0.116 -0.270 -0.325 -0.372 27 1.964 1.846 1.713 1.567 1.403 1.194 0.894 0.053 -0.178 -0.349 -0.406 -0.453 28 1.969 1.854 1.728 1.590 1.430 1.219 0.911 0.048 -0.212 -0.394 -0.451 -0.498 29 1.956 1.846 1.722 1.584 1.415 1.195 0.873 0.034 -0.172 -0.332 -0.389 -0.437 30 1.938 1.825 1.698 1.556 1.387 1.165 0.844 0.003 -0.208 -0.368 -0.425 -0.472 ================================================================================================================================== Diffusion velocities (D. Koester, Kiel 2020) log10(vdiff[cm/s] log10(rho[g/cm3]) EL Teff[K] log g = 8.000 log(rho) at bottom of cvz Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 rho 3.237 3.206 3.176 3.146 3.120 3.093 3.072 3.056 3.041 3.029 3.017 3.007 2.997 2.986 2.977 2.965 ---------------------------------------------------------------------------------------------------------------------------------- 3 -8.434 -8.399 -8.363 -8.326 -8.291 -8.253 -8.219 -8.189 -8.159 -8.132 -8.105 -8.081 -8.055 -8.032 -8.009 -7.985 4 -8.404 -8.370 -8.334 -8.297 -8.263 -8.226 -8.192 -8.162 -8.133 -8.108 -8.082 -8.058 -8.034 -8.011 -7.989 -7.964 5 -8.408 -8.374 -8.337 -8.300 -8.266 -8.229 -8.195 -8.165 -8.137 -8.112 -8.086 -8.064 -8.040 -8.018 -7.996 -7.972 6 -8.497 -8.459 -8.419 -8.379 -8.342 -8.303 -8.267 -8.236 -8.206 -8.180 -8.154 -8.132 -8.107 -8.086 -8.063 -8.038 7 -8.426 -8.391 -8.351 -8.312 -8.278 -8.240 -8.205 -8.175 -8.147 -8.123 -8.097 -8.077 -8.053 -8.033 -8.012 -7.988 8 -8.366 -8.331 -8.293 -8.255 -8.222 -8.185 -8.152 -8.124 -8.096 -8.073 -8.049 -8.029 -8.007 -7.988 -7.968 -7.945 9 -8.224 -8.192 -8.158 -8.123 -8.093 -8.060 -8.029 -8.004 -7.979 -7.958 -7.936 -7.918 -7.898 -7.880 -7.862 -7.841 10 -8.248 -8.216 -8.180 -8.145 -8.114 -8.080 -8.049 -8.023 -7.998 -7.977 -7.955 -7.937 -7.917 -7.900 -7.882 -7.861 11 -8.154 -8.124 -8.090 -8.058 -8.029 -7.997 -7.968 -7.943 -7.920 -7.900 -7.880 -7.863 -7.844 -7.828 -7.811 -7.791 12 -8.160 -8.130 -8.096 -8.062 -8.033 -8.001 -7.972 -7.947 -7.924 -7.905 -7.884 -7.868 -7.849 -7.833 -7.816 -7.796 13 -8.092 -8.063 -8.030 -7.998 -7.970 -7.940 -7.912 -7.889 -7.866 -7.848 -7.828 -7.813 -7.795 -7.780 -7.764 -7.745 14 -8.103 -8.074 -8.040 -8.008 -7.980 -7.949 -7.921 -7.898 -7.875 -7.857 -7.837 -7.822 -7.804 -7.789 -7.773 -7.754 15 -8.035 -8.007 -7.975 -7.944 -7.918 -7.888 -7.861 -7.839 -7.818 -7.801 -7.782 -7.768 -7.750 -7.736 -7.721 -7.703 16 -8.043 -8.014 -7.982 -7.951 -7.924 -7.894 -7.867 -7.845 -7.824 -7.807 -7.788 -7.774 -7.757 -7.743 -7.728 -7.710 17 -7.969 -7.942 -7.911 -7.881 -7.856 -7.828 -7.802 -7.781 -7.761 -7.745 -7.727 -7.713 -7.697 -7.684 -7.669 -7.652 18 -7.879 -7.853 -7.825 -7.797 -7.773 -7.746 -7.722 -7.702 -7.684 -7.668 -7.652 -7.639 -7.623 -7.611 -7.597 -7.581 19 -7.934 -7.907 -7.877 -7.848 -7.823 -7.796 -7.771 -7.750 -7.731 -7.715 -7.698 -7.685 -7.670 -7.657 -7.643 -7.626 20 -7.939 -7.913 -7.882 -7.853 -7.828 -7.800 -7.775 -7.755 -7.735 -7.720 -7.703 -7.690 -7.674 -7.662 -7.648 -7.632 21 -7.849 -7.824 -7.796 -7.768 -7.745 -7.718 -7.695 -7.676 -7.658 -7.643 -7.627 -7.615 -7.601 -7.589 -7.576 -7.560 22 -7.813 -7.788 -7.761 -7.734 -7.711 -7.685 -7.662 -7.644 -7.626 -7.612 -7.597 -7.585 -7.571 -7.559 -7.546 -7.531 23 -7.778 -7.754 -7.727 -7.701 -7.679 -7.653 -7.631 -7.613 -7.596 -7.582 -7.567 -7.556 -7.542 -7.531 -7.518 -7.503 24 -7.780 -7.756 -7.729 -7.703 -7.680 -7.655 -7.633 -7.615 -7.598 -7.584 -7.569 -7.558 -7.544 -7.533 -7.521 -7.506 25 -7.750 -7.726 -7.700 -7.674 -7.652 -7.627 -7.605 -7.588 -7.571 -7.558 -7.543 -7.532 -7.519 -7.508 -7.496 -7.481 26 -7.753 -7.730 -7.703 -7.677 -7.655 -7.630 -7.608 -7.591 -7.574 -7.561 -7.547 -7.536 -7.522 -7.512 -7.500 -7.485 27 -7.723 -7.700 -7.673 -7.648 -7.626 -7.602 -7.581 -7.564 -7.548 -7.535 -7.521 -7.510 -7.497 -7.486 -7.475 -7.460 28 -7.742 -7.719 -7.692 -7.666 -7.644 -7.620 -7.598 -7.581 -7.564 -7.552 -7.537 -7.527 -7.514 -7.503 -7.492 -7.477 29 -7.689 -7.666 -7.640 -7.615 -7.594 -7.571 -7.550 -7.533 -7.518 -7.505 -7.491 -7.481 -7.469 -7.458 -7.447 -7.433 30 -7.679 -7.656 -7.631 -7.606 -7.585 -7.561 -7.541 -7.524 -7.509 -7.497 -7.483 -7.473 -7.460 -7.451 -7.439 -7.426 EL Teff[K] log g = 8.000 log(rho) at bottom of cvz Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 rho 2.953 2.939 2.930 2.919 2.906 2.892 2.879 2.863 2.845 2.826 2.802 2.776 2.749 2.718 2.688 2.656 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.963 -7.939 -7.919 -7.899 -7.879 -7.858 -7.840 -7.820 -7.802 -7.782 -7.756 -7.734 -7.712 -7.687 -7.664 -7.641 4 -7.942 -7.917 -7.896 -7.876 -7.856 -7.833 -7.814 -7.793 -7.776 -7.755 -7.725 -7.703 -7.681 -7.656 -7.633 -7.610 5 -7.951 -7.926 -7.906 -7.885 -7.866 -7.843 -7.823 -7.801 -7.784 -7.763 -7.731 -7.708 -7.685 -7.660 -7.637 -7.613 6 -8.018 -7.993 -7.972 -7.951 -7.932 -7.908 -7.888 -7.866 -7.850 -7.828 -7.791 -7.768 -7.745 -7.720 -7.696 -7.672 7 -7.969 -7.945 -7.925 -7.905 -7.888 -7.865 -7.846 -7.824 -7.809 -7.788 -7.752 -7.728 -7.706 -7.680 -7.657 -7.633 8 -7.927 -7.904 -7.885 -7.866 -7.850 -7.828 -7.810 -7.788 -7.774 -7.753 -7.718 -7.695 -7.673 -7.648 -7.624 -7.600 9 -7.824 -7.803 -7.786 -7.768 -7.752 -7.732 -7.715 -7.695 -7.681 -7.661 -7.628 -7.606 -7.585 -7.560 -7.537 -7.513 10 -7.844 -7.823 -7.806 -7.789 -7.774 -7.754 -7.737 -7.717 -7.703 -7.684 -7.649 -7.628 -7.606 -7.582 -7.559 -7.535 11 -7.775 -7.755 -7.739 -7.723 -7.708 -7.689 -7.673 -7.654 -7.640 -7.622 -7.589 -7.568 -7.547 -7.522 -7.500 -7.477 12 -7.781 -7.761 -7.745 -7.729 -7.715 -7.696 -7.680 -7.661 -7.649 -7.630 -7.597 -7.576 -7.555 -7.531 -7.508 -7.485 13 -7.730 -7.711 -7.696 -7.680 -7.667 -7.649 -7.633 -7.615 -7.602 -7.584 -7.552 -7.531 -7.511 -7.487 -7.465 -7.442 14 -7.740 -7.721 -7.706 -7.691 -7.678 -7.659 -7.644 -7.626 -7.614 -7.596 -7.563 -7.542 -7.522 -7.498 -7.476 -7.453 15 -7.689 -7.671 -7.656 -7.642 -7.629 -7.611 -7.597 -7.579 -7.567 -7.549 -7.518 -7.497 -7.477 -7.453 -7.431 -7.409 16 -7.696 -7.678 -7.663 -7.649 -7.637 -7.619 -7.604 -7.587 -7.575 -7.558 -7.526 -7.505 -7.485 -7.461 -7.440 -7.417 17 -7.639 -7.622 -7.608 -7.594 -7.582 -7.565 -7.551 -7.534 -7.522 -7.505 -7.474 -7.454 -7.434 -7.411 -7.389 -7.366 18 -7.568 -7.552 -7.538 -7.525 -7.513 -7.497 -7.483 -7.466 -7.454 -7.438 -7.409 -7.389 -7.369 -7.346 -7.324 -7.302 19 -7.614 -7.597 -7.583 -7.570 -7.558 -7.542 -7.528 -7.511 -7.500 -7.483 -7.453 -7.433 -7.413 -7.390 -7.368 -7.346 20 -7.619 -7.602 -7.589 -7.576 -7.564 -7.548 -7.534 -7.518 -7.506 -7.490 -7.459 -7.439 -7.419 -7.396 -7.375 -7.352 21 -7.548 -7.532 -7.519 -7.506 -7.495 -7.479 -7.466 -7.450 -7.438 -7.422 -7.393 -7.373 -7.354 -7.331 -7.310 -7.287 22 -7.519 -7.504 -7.491 -7.479 -7.468 -7.452 -7.439 -7.423 -7.412 -7.396 -7.367 -7.348 -7.328 -7.305 -7.284 -7.262 23 -7.492 -7.476 -7.464 -7.452 -7.441 -7.426 -7.413 -7.397 -7.386 -7.370 -7.342 -7.323 -7.303 -7.280 -7.259 -7.237 24 -7.494 -7.479 -7.467 -7.455 -7.444 -7.429 -7.416 -7.401 -7.390 -7.374 -7.345 -7.326 -7.307 -7.284 -7.263 -7.241 25 -7.470 -7.455 -7.444 -7.432 -7.421 -7.406 -7.394 -7.378 -7.367 -7.351 -7.323 -7.304 -7.285 -7.262 -7.241 -7.219 26 -7.474 -7.459 -7.448 -7.436 -7.425 -7.410 -7.398 -7.383 -7.372 -7.356 -7.328 -7.309 -7.289 -7.267 -7.246 -7.224 27 -7.450 -7.435 -7.424 -7.412 -7.402 -7.387 -7.375 -7.360 -7.349 -7.333 -7.305 -7.286 -7.267 -7.245 -7.224 -7.202 28 -7.467 -7.452 -7.440 -7.429 -7.419 -7.404 -7.392 -7.377 -7.366 -7.350 -7.322 -7.303 -7.284 -7.261 -7.240 -7.218 29 -7.423 -7.409 -7.397 -7.386 -7.376 -7.362 -7.350 -7.335 -7.324 -7.309 -7.281 -7.262 -7.243 -7.221 -7.200 -7.178 30 -7.415 -7.401 -7.390 -7.379 -7.369 -7.355 -7.343 -7.328 -7.318 -7.302 -7.275 -7.256 -7.237 -7.215 -7.194 -7.172 EL Teff[K] log g = 8.000 log(rho) at bottom of cvz Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 rho 2.623 2.587 2.553 2.517 2.478 2.437 2.396 2.357 2.311 2.261 2.209 2.151 2.089 2.023 1.956 1.883 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.613 -7.588 -7.565 -7.541 -7.515 -7.485 -7.460 -7.434 -7.406 -7.370 -7.339 -7.302 -7.265 -7.228 -7.186 -7.144 4 -7.580 -7.555 -7.532 -7.508 -7.483 -7.451 -7.426 -7.401 -7.373 -7.335 -7.304 -7.266 -7.229 -7.192 -7.149 -7.107 5 -7.582 -7.557 -7.533 -7.509 -7.484 -7.451 -7.426 -7.401 -7.373 -7.332 -7.301 -7.262 -7.226 -7.188 -7.144 -7.102 6 -7.637 -7.612 -7.588 -7.564 -7.538 -7.503 -7.477 -7.452 -7.424 -7.380 -7.348 -7.308 -7.271 -7.234 -7.187 -7.144 7 -7.598 -7.573 -7.549 -7.525 -7.498 -7.463 -7.438 -7.412 -7.384 -7.340 -7.308 -7.268 -7.230 -7.192 -7.146 -7.102 8 -7.566 -7.541 -7.517 -7.492 -7.466 -7.431 -7.405 -7.379 -7.351 -7.307 -7.275 -7.234 -7.196 -7.158 -7.111 -7.067 9 -7.481 -7.456 -7.432 -7.408 -7.381 -7.347 -7.322 -7.296 -7.268 -7.225 -7.192 -7.152 -7.114 -7.076 -7.029 -6.985 10 -7.501 -7.476 -7.453 -7.429 -7.402 -7.367 -7.341 -7.316 -7.287 -7.243 -7.210 -7.170 -7.131 -7.092 -7.045 -7.000 11 -7.444 -7.419 -7.396 -7.372 -7.345 -7.311 -7.285 -7.259 -7.231 -7.188 -7.155 -7.115 -7.076 -7.037 -6.990 -6.945 12 -7.452 -7.427 -7.404 -7.380 -7.353 -7.319 -7.293 -7.267 -7.238 -7.194 -7.161 -7.120 -7.081 -7.042 -6.994 -6.949 13 -7.409 -7.385 -7.361 -7.337 -7.311 -7.277 -7.251 -7.225 -7.196 -7.153 -7.120 -7.079 -7.040 -7.000 -6.953 -6.908 14 -7.420 -7.395 -7.372 -7.348 -7.322 -7.287 -7.261 -7.235 -7.206 -7.162 -7.129 -7.088 -7.049 -7.009 -6.961 -6.915 15 -7.376 -7.352 -7.329 -7.305 -7.278 -7.244 -7.219 -7.193 -7.164 -7.121 -7.088 -7.047 -7.007 -6.967 -6.919 -6.873 16 -7.384 -7.360 -7.337 -7.313 -7.286 -7.252 -7.226 -7.200 -7.171 -7.127 -7.094 -7.053 -7.013 -6.973 -6.925 -6.878 17 -7.335 -7.310 -7.287 -7.263 -7.237 -7.203 -7.177 -7.151 -7.122 -7.080 -7.047 -7.006 -6.966 -6.925 -6.878 -6.831 18 -7.272 -7.247 -7.224 -7.200 -7.174 -7.141 -7.115 -7.089 -7.060 -7.019 -6.986 -6.945 -6.906 -6.865 -6.818 -6.772 19 -7.314 -7.290 -7.267 -7.243 -7.217 -7.183 -7.157 -7.131 -7.102 -7.059 -7.026 -6.985 -6.945 -6.904 -6.856 -6.810 20 -7.320 -7.296 -7.273 -7.249 -7.223 -7.189 -7.163 -7.137 -7.108 -7.064 -7.031 -6.990 -6.950 -6.909 -6.861 -6.814 21 -7.257 -7.232 -7.209 -7.185 -7.159 -7.126 -7.100 -7.074 -7.045 -7.003 -6.970 -6.929 -6.889 -6.848 -6.801 -6.754 22 -7.231 -7.207 -7.184 -7.160 -7.134 -7.101 -7.075 -7.049 -7.020 -6.979 -6.945 -6.905 -6.865 -6.824 -6.777 -6.730 23 -7.207 -7.183 -7.160 -7.136 -7.110 -7.077 -7.051 -7.025 -6.996 -6.955 -6.922 -6.881 -6.841 -6.800 -6.753 -6.706 24 -7.211 -7.186 -7.163 -7.140 -7.113 -7.081 -7.055 -7.029 -6.999 -6.958 -6.924 -6.884 -6.844 -6.803 -6.755 -6.708 25 -7.189 -7.165 -7.142 -7.118 -7.092 -7.060 -7.033 -7.007 -6.978 -6.937 -6.904 -6.863 -6.823 -6.782 -6.735 -6.688 26 -7.194 -7.169 -7.146 -7.123 -7.097 -7.064 -7.038 -7.012 -6.982 -6.941 -6.907 -6.867 -6.827 -6.785 -6.738 -6.691 27 -7.172 -7.148 -7.125 -7.101 -7.075 -7.042 -7.016 -6.990 -6.961 -6.920 -6.886 -6.846 -6.805 -6.764 -6.717 -6.670 28 -7.188 -7.164 -7.141 -7.117 -7.091 -7.058 -7.032 -7.006 -6.977 -6.935 -6.902 -6.861 -6.821 -6.779 -6.732 -6.685 29 -7.148 -7.124 -7.102 -7.078 -7.052 -7.019 -6.993 -6.967 -6.938 -6.897 -6.863 -6.823 -6.783 -6.741 -6.694 -6.647 30 -7.142 -7.118 -7.095 -7.072 -7.046 -7.013 -6.987 -6.961 -6.932 -6.891 -6.857 -6.816 -6.776 -6.735 -6.688 -6.640 EL Teff[K] log g = 8.000 log(rho) at bottom of cvz Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 rho 1.806 1.726 1.641 1.552 1.450 1.339 1.218 1.090 0.955 0.808 0.645 0.454 0.252 -0.690 -2.008 -2.325 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.099 -7.055 -7.006 -6.957 -6.901 -6.841 -6.777 -6.710 -6.639 -6.562 -6.478 -6.381 -6.278 -5.767 -5.013 -4.765 4 -7.061 -7.017 -6.968 -6.919 -6.862 -6.801 -6.738 -6.670 -6.599 -6.523 -6.438 -6.343 -6.241 -5.733 -4.978 -4.667 5 -7.055 -7.011 -6.961 -6.911 -6.855 -6.793 -6.729 -6.661 -6.590 -6.513 -6.429 -6.333 -6.230 -5.722 -4.971 -4.712 6 -7.096 -7.052 -7.000 -6.950 -6.892 -6.830 -6.766 -6.696 -6.625 -6.548 -6.463 -6.367 -6.264 -5.752 -5.002 -4.752 7 -7.053 -7.009 -6.957 -6.906 -6.847 -6.784 -6.719 -6.649 -6.576 -6.499 -6.413 -6.316 -6.211 -5.697 -4.953 -4.744 8 -7.017 -6.973 -6.920 -6.868 -6.809 -6.745 -6.679 -6.608 -6.535 -6.456 -6.369 -6.271 -6.165 -5.650 -4.910 -4.739 9 -6.936 -6.890 -6.838 -6.786 -6.726 -6.662 -6.595 -6.524 -6.449 -6.370 -6.282 -6.183 -6.075 -5.561 -4.824 -4.671 10 -6.950 -6.904 -6.850 -6.797 -6.737 -6.671 -6.604 -6.531 -6.456 -6.376 -6.287 -6.187 -6.079 -5.563 -4.825 -4.658 11 -6.895 -6.848 -6.794 -6.741 -6.681 -6.615 -6.546 -6.473 -6.397 -6.316 -6.227 -6.126 -6.017 -5.502 -4.763 -4.584 12 -6.898 -6.851 -6.797 -6.743 -6.682 -6.615 -6.546 -6.472 -6.395 -6.314 -6.223 -6.122 -6.012 -5.497 -4.755 -4.565 13 -6.857 -6.810 -6.755 -6.701 -6.639 -6.572 -6.503 -6.428 -6.351 -6.269 -6.179 -6.076 -5.966 -5.450 -4.707 -4.507 14 -6.864 -6.816 -6.761 -6.706 -6.644 -6.576 -6.506 -6.431 -6.354 -6.271 -6.180 -6.077 -5.967 -5.449 -4.702 -4.498 15 -6.822 -6.774 -6.719 -6.665 -6.602 -6.534 -6.464 -6.389 -6.311 -6.228 -6.136 -6.033 -5.922 -5.404 -4.655 -4.442 16 -6.827 -6.779 -6.723 -6.668 -6.605 -6.537 -6.466 -6.390 -6.312 -6.229 -6.137 -6.033 -5.922 -5.401 -4.649 -4.433 17 -6.780 -6.732 -6.676 -6.622 -6.559 -6.491 -6.419 -6.344 -6.265 -6.182 -6.090 -5.985 -5.874 -5.352 -4.599 -4.401 18 -6.721 -6.673 -6.618 -6.563 -6.500 -6.432 -6.361 -6.285 -6.207 -6.123 -6.031 -5.926 -5.814 -5.292 -4.537 -4.346 19 -6.758 -6.710 -6.654 -6.599 -6.535 -6.467 -6.395 -6.319 -6.240 -6.156 -6.063 -5.958 -5.845 -5.320 -4.563 -4.405 20 -6.762 -6.713 -6.657 -6.602 -6.538 -6.469 -6.397 -6.321 -6.242 -6.157 -6.064 -5.959 -5.846 -5.318 -4.558 -4.390 21 -6.703 -6.654 -6.598 -6.543 -6.480 -6.411 -6.339 -6.263 -6.184 -6.099 -6.006 -5.900 -5.787 -5.259 -4.499 -4.354 22 -6.679 -6.630 -6.574 -6.519 -6.455 -6.387 -6.315 -6.239 -6.159 -6.075 -5.981 -5.875 -5.761 -5.231 -4.470 -4.310 23 -6.655 -6.606 -6.551 -6.495 -6.432 -6.363 -6.291 -6.215 -6.135 -6.051 -5.957 -5.850 -5.736 -5.204 -4.443 -4.284 24 -6.657 -6.608 -6.552 -6.497 -6.433 -6.364 -6.292 -6.216 -6.136 -6.051 -5.957 -5.850 -5.735 -5.202 -4.438 -4.274 25 -6.637 -6.587 -6.532 -6.476 -6.413 -6.344 -6.271 -6.195 -6.115 -6.030 -5.936 -5.828 -5.713 -5.178 -4.413 -4.240 26 -6.640 -6.590 -6.534 -6.479 -6.415 -6.346 -6.273 -6.197 -6.117 -6.031 -5.937 -5.829 -5.714 -5.176 -4.410 -4.238 27 -6.619 -6.569 -6.514 -6.458 -6.394 -6.325 -6.252 -6.176 -6.096 -6.010 -5.915 -5.807 -5.692 -5.153 -4.386 -4.206 28 -6.633 -6.584 -6.528 -6.472 -6.408 -6.338 -6.266 -6.189 -6.108 -6.022 -5.927 -5.819 -5.703 -5.162 -4.393 -4.209 29 -6.596 -6.546 -6.490 -6.435 -6.371 -6.302 -6.229 -6.152 -6.071 -5.985 -5.890 -5.781 -5.665 -5.123 -4.355 -4.190 30 -6.589 -6.540 -6.484 -6.428 -6.364 -6.295 -6.222 -6.144 -6.064 -5.978 -5.883 -5.773 -5.657 -5.113 -4.345 -4.175 EL Teff[K] log g = 8.000 log(rho) at bottom of cvz Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 rho -2.482 -2.639 -2.807 -2.986 -3.187 -3.441 -3.789 -4.557 -4.754 -4.910 -4.981 -5.041 -------------------------------------------------------------------------------------------------- 3 -4.650 -4.540 -4.430 -4.317 -4.200 -4.047 -3.811 -3.020 -2.890 -2.788 -2.752 -2.723 4 -4.509 -4.349 -4.175 -3.989 -3.865 -3.718 -3.520 -2.978 -2.858 -2.762 -2.713 -2.670 5 -4.578 -4.441 -4.289 -4.123 -3.987 -3.826 -3.617 -3.232 -3.121 -3.026 -2.979 -2.937 6 -4.632 -4.516 -4.394 -4.265 -4.153 -4.013 -3.823 -3.432 -3.305 -3.196 -3.151 -3.111 7 -4.645 -4.551 -4.453 -4.351 -4.244 -4.107 -3.912 -3.360 -3.185 -3.055 -3.009 -2.970 8 -4.660 -4.585 -4.500 -4.410 -4.293 -4.139 -3.914 -3.243 -3.061 -2.919 -2.869 -2.827 9 -4.595 -4.518 -4.429 -4.325 -4.184 -3.989 -3.712 -3.053 -2.874 -2.736 -2.686 -2.646 10 -4.573 -4.486 -4.388 -4.277 -4.141 -3.961 -3.700 -3.003 -2.820 -2.675 -2.624 -2.581 11 -4.493 -4.397 -4.289 -4.167 -4.028 -3.847 -3.585 -2.882 -2.689 -2.543 -2.493 -2.452 12 -4.466 -4.364 -4.248 -4.117 -3.976 -3.793 -3.530 -2.798 -2.600 -2.477 -2.426 -2.384 13 -4.404 -4.297 -4.175 -4.038 -3.896 -3.713 -3.450 -2.757 -2.596 -2.477 -2.427 -2.383 14 -4.391 -4.277 -4.148 -4.002 -3.854 -3.663 -3.387 -2.843 -2.729 -2.635 -2.588 -2.548 15 -4.333 -4.219 -4.092 -3.951 -3.814 -3.639 -3.391 -2.957 -2.841 -2.743 -2.697 -2.656 16 -4.323 -4.209 -4.084 -3.948 -3.820 -3.666 -3.465 -3.028 -2.888 -2.769 -2.722 -2.681 17 -4.304 -4.206 -4.101 -3.990 -3.873 -3.726 -3.528 -3.023 -2.846 -2.696 -2.646 -2.604 18 -4.256 -4.166 -4.070 -3.969 -3.853 -3.704 -3.491 -2.900 -2.735 -2.608 -2.560 -2.520 19 -4.329 -4.254 -4.173 -4.086 -3.968 -3.812 -3.582 -2.880 -2.690 -2.547 -2.499 -2.460 20 -4.309 -4.228 -4.139 -4.042 -3.917 -3.753 -3.513 -2.868 -2.695 -2.562 -2.513 -2.472 21 -4.280 -4.203 -4.113 -4.009 -3.870 -3.693 -3.453 -2.707 -2.563 -2.449 -2.403 -2.365 22 -4.231 -4.149 -4.059 -3.960 -3.834 -3.669 -3.422 -2.720 -2.567 -2.467 -2.417 -2.375 23 -4.207 -4.127 -4.037 -3.935 -3.799 -3.614 -3.345 -2.738 -2.574 -2.454 -2.406 -2.365 24 -4.192 -4.106 -4.007 -3.895 -3.758 -3.585 -3.346 -2.714 -2.568 -2.454 -2.407 -2.366 25 -4.156 -4.070 -3.974 -3.868 -3.739 -3.569 -3.312 -2.718 -2.560 -2.435 -2.386 -2.344 26 -4.151 -4.061 -3.959 -3.845 -3.710 -3.534 -3.286 -2.710 -2.562 -2.445 -2.397 -2.356 27 -4.116 -4.022 -3.917 -3.801 -3.671 -3.508 -3.279 -2.678 -2.500 -2.365 -2.316 -2.274 28 -4.121 -4.031 -3.932 -3.823 -3.698 -3.533 -3.296 -2.673 -2.466 -2.321 -2.271 -2.229 29 -4.107 -4.022 -3.926 -3.817 -3.683 -3.509 -3.259 -2.659 -2.506 -2.382 -2.333 -2.291 30 -4.090 -4.001 -3.902 -3.790 -3.655 -3.479 -3.229 -2.628 -2.470 -2.347 -2.297 -2.255 ===================================================================================================================================== Diffusion time scales (D. Koester, Kiel 2020) log10(taudiff[yrs]) log10(qvz) EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -5.624 -5.670 -5.716 -5.757 -5.796 -5.826 -5.858 -5.882 -5.901 -5.916 -5.930 -5.940 -5.947 -5.949 -5.957 -5.957 ---------------------------------------------------------------------------------------------------------------------------------- 3 6.247 6.199 6.150 6.105 6.061 6.023 5.983 5.949 5.919 5.894 5.868 5.846 5.827 5.812 5.791 5.778 4 6.203 6.156 6.106 6.062 6.018 5.981 5.942 5.908 5.879 5.855 5.829 5.808 5.790 5.776 5.757 5.744 5 6.193 6.146 6.096 6.051 6.008 5.970 5.931 5.897 5.869 5.845 5.820 5.799 5.782 5.769 5.750 5.739 6 6.257 6.208 6.156 6.110 6.065 6.026 5.986 5.950 5.921 5.896 5.870 5.850 5.832 5.819 5.800 5.788 7 6.184 6.136 6.085 6.040 5.996 5.958 5.920 5.885 5.857 5.834 5.809 5.790 5.773 5.762 5.743 5.733 8 6.121 6.074 6.023 5.980 5.937 5.900 5.863 5.829 5.802 5.780 5.756 5.738 5.722 5.712 5.695 5.685 9 5.987 5.943 5.895 5.854 5.814 5.779 5.744 5.713 5.688 5.668 5.646 5.629 5.615 5.606 5.590 5.582 10 6.001 5.957 5.908 5.866 5.826 5.791 5.756 5.724 5.699 5.679 5.657 5.640 5.626 5.618 5.602 5.594 11 5.912 5.869 5.822 5.782 5.743 5.710 5.676 5.645 5.622 5.603 5.582 5.567 5.554 5.546 5.531 5.524 12 5.911 5.868 5.821 5.780 5.741 5.708 5.674 5.644 5.620 5.602 5.581 5.566 5.553 5.546 5.531 5.524 13 5.845 5.803 5.757 5.718 5.680 5.648 5.615 5.586 5.563 5.545 5.526 5.511 5.499 5.492 5.479 5.473 14 5.850 5.808 5.761 5.722 5.684 5.652 5.619 5.589 5.567 5.549 5.529 5.515 5.504 5.497 5.484 5.477 15 5.786 5.744 5.699 5.661 5.624 5.593 5.561 5.532 5.511 5.494 5.475 5.462 5.451 5.444 5.432 5.426 16 5.788 5.747 5.701 5.663 5.626 5.595 5.563 5.534 5.512 5.496 5.477 5.464 5.453 5.447 5.434 5.429 17 5.719 5.678 5.634 5.597 5.561 5.531 5.500 5.472 5.452 5.436 5.418 5.405 5.395 5.390 5.378 5.373 18 5.635 5.596 5.553 5.517 5.482 5.453 5.423 5.397 5.377 5.362 5.345 5.333 5.324 5.319 5.308 5.304 19 5.681 5.641 5.597 5.560 5.525 5.495 5.465 5.438 5.418 5.403 5.385 5.373 5.364 5.359 5.348 5.344 20 5.683 5.643 5.599 5.562 5.526 5.497 5.466 5.439 5.419 5.404 5.387 5.375 5.366 5.361 5.350 5.346 21 5.600 5.561 5.519 5.483 5.448 5.420 5.391 5.365 5.346 5.331 5.315 5.304 5.295 5.291 5.281 5.277 22 5.564 5.526 5.485 5.449 5.415 5.387 5.358 5.333 5.314 5.300 5.284 5.274 5.265 5.261 5.251 5.248 23 5.531 5.493 5.452 5.417 5.383 5.356 5.327 5.302 5.284 5.270 5.255 5.244 5.236 5.233 5.223 5.220 24 5.530 5.492 5.451 5.416 5.383 5.355 5.327 5.302 5.284 5.270 5.254 5.244 5.236 5.233 5.223 5.221 25 5.501 5.463 5.423 5.388 5.355 5.328 5.300 5.275 5.257 5.244 5.229 5.219 5.211 5.208 5.199 5.196 26 5.502 5.464 5.423 5.389 5.355 5.328 5.300 5.276 5.258 5.245 5.230 5.220 5.212 5.209 5.200 5.198 27 5.472 5.435 5.395 5.361 5.328 5.301 5.273 5.249 5.232 5.219 5.204 5.194 5.187 5.184 5.175 5.173 28 5.488 5.450 5.410 5.375 5.342 5.315 5.287 5.263 5.246 5.233 5.218 5.208 5.201 5.198 5.189 5.187 29 5.438 5.401 5.361 5.327 5.295 5.269 5.241 5.218 5.201 5.188 5.174 5.164 5.157 5.155 5.146 5.145 30 5.427 5.391 5.351 5.317 5.285 5.258 5.231 5.208 5.191 5.178 5.164 5.155 5.148 5.146 5.138 5.136 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -5.958 -5.962 -5.960 -5.960 -5.957 -5.952 -5.950 -5.953 -5.963 -5.971 -5.976 -5.989 -5.999 -6.011 -6.023 -6.045 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.765 5.749 5.739 5.729 5.720 5.714 5.708 5.696 5.681 5.668 5.659 5.644 5.631 5.617 5.605 5.585 4 5.732 5.717 5.707 5.698 5.689 5.683 5.678 5.666 5.650 5.636 5.628 5.612 5.598 5.584 5.571 5.551 5 5.728 5.713 5.704 5.696 5.688 5.682 5.679 5.667 5.651 5.637 5.630 5.613 5.600 5.585 5.572 5.551 6 5.778 5.763 5.754 5.747 5.739 5.734 5.731 5.719 5.703 5.689 5.683 5.666 5.653 5.638 5.625 5.604 7 5.724 5.709 5.701 5.695 5.689 5.684 5.683 5.671 5.656 5.643 5.638 5.622 5.609 5.595 5.583 5.562 8 5.677 5.663 5.656 5.651 5.645 5.641 5.641 5.630 5.616 5.603 5.599 5.584 5.571 5.558 5.546 5.526 9 5.575 5.563 5.557 5.553 5.548 5.546 5.545 5.536 5.523 5.511 5.507 5.493 5.482 5.469 5.458 5.438 10 5.587 5.575 5.570 5.566 5.562 5.559 5.560 5.551 5.537 5.526 5.523 5.509 5.498 5.485 5.474 5.455 11 5.518 5.508 5.503 5.499 5.496 5.494 5.495 5.487 5.474 5.464 5.461 5.447 5.437 5.425 5.414 5.395 12 5.519 5.508 5.504 5.501 5.498 5.496 5.498 5.490 5.477 5.467 5.464 5.451 5.441 5.429 5.418 5.399 13 5.468 5.458 5.454 5.451 5.449 5.448 5.450 5.442 5.430 5.421 5.418 5.405 5.395 5.384 5.374 5.355 14 5.473 5.463 5.459 5.457 5.455 5.454 5.456 5.449 5.437 5.427 5.425 5.413 5.403 5.392 5.381 5.363 15 5.422 5.413 5.410 5.408 5.406 5.406 5.408 5.402 5.390 5.381 5.379 5.367 5.357 5.346 5.336 5.318 16 5.425 5.416 5.413 5.412 5.410 5.410 5.413 5.406 5.395 5.386 5.384 5.372 5.362 5.352 5.342 5.324 17 5.370 5.361 5.359 5.358 5.356 5.357 5.360 5.353 5.343 5.334 5.332 5.321 5.311 5.301 5.291 5.273 18 5.301 5.293 5.291 5.291 5.290 5.291 5.294 5.288 5.278 5.269 5.268 5.256 5.247 5.237 5.228 5.210 19 5.341 5.333 5.331 5.330 5.329 5.331 5.334 5.328 5.317 5.309 5.308 5.296 5.287 5.277 5.268 5.250 20 5.343 5.335 5.334 5.333 5.332 5.334 5.337 5.331 5.321 5.313 5.312 5.301 5.292 5.282 5.272 5.255 21 5.275 5.268 5.266 5.266 5.266 5.268 5.271 5.266 5.256 5.248 5.247 5.236 5.228 5.218 5.209 5.191 22 5.246 5.239 5.238 5.238 5.238 5.240 5.244 5.239 5.229 5.222 5.221 5.210 5.201 5.192 5.183 5.165 23 5.218 5.212 5.211 5.212 5.212 5.214 5.218 5.213 5.203 5.196 5.195 5.184 5.176 5.167 5.158 5.140 24 5.219 5.213 5.212 5.213 5.213 5.215 5.219 5.214 5.205 5.198 5.197 5.186 5.178 5.169 5.160 5.143 25 5.195 5.189 5.188 5.189 5.189 5.192 5.196 5.191 5.182 5.175 5.174 5.164 5.156 5.147 5.138 5.121 26 5.196 5.191 5.190 5.191 5.192 5.194 5.198 5.194 5.185 5.178 5.177 5.167 5.159 5.150 5.141 5.124 27 5.172 5.166 5.166 5.167 5.168 5.171 5.175 5.171 5.162 5.155 5.154 5.144 5.136 5.127 5.119 5.102 28 5.186 5.181 5.180 5.182 5.183 5.185 5.190 5.185 5.177 5.170 5.169 5.159 5.152 5.142 5.134 5.117 29 5.144 5.139 5.139 5.140 5.141 5.144 5.149 5.145 5.136 5.129 5.129 5.119 5.112 5.103 5.094 5.077 30 5.135 5.130 5.131 5.132 5.133 5.136 5.141 5.137 5.129 5.122 5.122 5.112 5.104 5.096 5.087 5.071 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -6.066 -6.094 -6.124 -6.153 -6.190 -6.225 -6.260 -6.302 -6.343 -6.389 -6.438 -6.487 -6.544 -6.602 -6.663 -6.732 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.566 5.540 5.516 5.494 5.466 5.439 5.413 5.378 5.346 5.313 5.278 5.239 5.199 5.159 5.117 5.066 4 5.531 5.502 5.479 5.458 5.429 5.402 5.375 5.339 5.306 5.273 5.237 5.197 5.158 5.118 5.076 5.023 5 5.531 5.500 5.478 5.456 5.428 5.400 5.373 5.335 5.301 5.268 5.232 5.190 5.151 5.111 5.069 5.014 6 5.583 5.550 5.528 5.507 5.478 5.450 5.423 5.382 5.347 5.313 5.277 5.233 5.194 5.153 5.111 5.054 7 5.542 5.509 5.487 5.466 5.437 5.409 5.382 5.342 5.306 5.273 5.237 5.192 5.153 5.112 5.069 5.012 8 5.506 5.473 5.452 5.431 5.403 5.375 5.348 5.307 5.272 5.238 5.203 5.158 5.118 5.078 5.034 4.978 9 5.419 5.388 5.366 5.346 5.318 5.290 5.264 5.224 5.190 5.156 5.120 5.077 5.037 4.996 4.953 4.897 10 5.435 5.404 5.383 5.362 5.334 5.307 5.280 5.240 5.205 5.172 5.136 5.092 5.052 5.011 4.967 4.911 11 5.376 5.346 5.324 5.304 5.277 5.249 5.223 5.184 5.149 5.116 5.080 5.037 4.996 4.955 4.912 4.856 12 5.381 5.350 5.329 5.309 5.281 5.254 5.228 5.188 5.153 5.120 5.084 5.040 5.000 4.959 4.915 4.859 13 5.337 5.307 5.286 5.266 5.238 5.211 5.185 5.146 5.111 5.078 5.042 4.999 4.959 4.917 4.874 4.817 14 5.345 5.314 5.293 5.274 5.246 5.219 5.193 5.153 5.119 5.086 5.049 5.006 4.966 4.924 4.880 4.824 15 5.300 5.270 5.250 5.230 5.203 5.176 5.150 5.111 5.076 5.043 5.007 4.964 4.924 4.882 4.838 4.782 16 5.306 5.276 5.255 5.236 5.208 5.181 5.155 5.116 5.082 5.048 5.012 4.969 4.928 4.887 4.843 4.786 17 5.256 5.227 5.206 5.186 5.159 5.132 5.106 5.068 5.034 5.001 4.965 4.922 4.881 4.840 4.796 4.740 18 5.193 5.165 5.144 5.124 5.097 5.070 5.045 5.007 4.973 4.940 4.904 4.862 4.822 4.780 4.736 4.681 19 5.233 5.204 5.183 5.164 5.137 5.110 5.084 5.046 5.012 4.978 4.942 4.900 4.859 4.818 4.773 4.717 20 5.237 5.208 5.188 5.168 5.141 5.115 5.089 5.050 5.016 4.983 4.947 4.904 4.863 4.821 4.777 4.721 21 5.174 5.146 5.125 5.106 5.079 5.052 5.027 4.989 4.955 4.922 4.886 4.844 4.803 4.762 4.717 4.662 22 5.149 5.121 5.100 5.081 5.054 5.027 5.001 4.964 4.930 4.897 4.861 4.819 4.779 4.737 4.693 4.637 23 5.124 5.096 5.076 5.056 5.029 5.003 4.977 4.940 4.907 4.873 4.837 4.796 4.755 4.713 4.669 4.614 24 5.126 5.098 5.078 5.058 5.031 5.005 4.979 4.942 4.909 4.876 4.840 4.798 4.757 4.715 4.671 4.616 25 5.104 5.077 5.056 5.037 5.010 4.984 4.958 4.921 4.888 4.854 4.819 4.777 4.736 4.694 4.650 4.595 26 5.108 5.080 5.059 5.040 5.013 4.987 4.961 4.924 4.891 4.858 4.822 4.780 4.739 4.697 4.653 4.598 27 5.085 5.058 5.038 5.018 4.992 4.965 4.940 4.903 4.869 4.836 4.800 4.759 4.718 4.676 4.632 4.577 28 5.101 5.073 5.053 5.034 5.007 4.980 4.955 4.917 4.884 4.851 4.815 4.773 4.732 4.691 4.646 4.591 29 5.061 5.034 5.014 4.994 4.968 4.941 4.916 4.879 4.846 4.813 4.777 4.735 4.695 4.653 4.608 4.553 30 5.054 5.027 5.007 4.988 4.961 4.935 4.909 4.872 4.839 4.806 4.770 4.729 4.688 4.646 4.602 4.547 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 qcvz -6.804 -6.885 -6.965 -7.051 -7.147 -7.241 -7.344 -7.446 -7.560 -7.683 -7.813 -7.952 -8.104 -8.861 -9.797 -10.924 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.017 4.959 4.904 4.847 4.782 4.720 4.650 4.585 4.511 4.432 4.350 4.263 4.169 3.712 3.125 2.409 4 4.974 4.914 4.859 4.803 4.736 4.675 4.604 4.538 4.464 4.384 4.302 4.215 4.121 3.663 3.076 2.365 5 4.966 4.904 4.848 4.792 4.724 4.663 4.590 4.524 4.449 4.368 4.286 4.198 4.104 3.644 3.053 2.346 6 5.005 4.941 4.885 4.828 4.758 4.696 4.622 4.556 4.479 4.397 4.314 4.225 4.130 3.669 3.074 2.368 7 4.963 4.899 4.842 4.784 4.714 4.652 4.576 4.510 4.433 4.349 4.266 4.175 4.079 3.613 3.017 2.312 8 4.928 4.863 4.806 4.748 4.677 4.614 4.538 4.471 4.393 4.309 4.224 4.133 4.036 3.566 2.968 2.264 9 4.847 4.783 4.726 4.668 4.597 4.533 4.458 4.390 4.312 4.228 4.142 4.051 3.953 3.477 2.880 2.177 10 4.860 4.795 4.737 4.679 4.607 4.543 4.467 4.398 4.319 4.234 4.148 4.055 3.956 3.478 2.880 2.176 11 4.805 4.741 4.683 4.624 4.552 4.488 4.412 4.343 4.264 4.178 4.091 3.998 3.899 3.418 2.820 2.115 12 4.808 4.743 4.685 4.625 4.553 4.489 4.412 4.342 4.263 4.176 4.089 3.996 3.895 3.412 2.812 2.107 13 4.767 4.702 4.644 4.584 4.512 4.447 4.370 4.301 4.221 4.135 4.047 3.953 3.853 3.367 2.767 2.060 14 4.773 4.707 4.649 4.589 4.517 4.451 4.374 4.304 4.224 4.137 4.049 3.955 3.854 3.366 2.764 2.055 15 4.731 4.666 4.608 4.548 4.476 4.410 4.333 4.263 4.183 4.096 4.008 3.913 3.812 3.323 2.720 2.009 16 4.735 4.670 4.611 4.551 4.479 4.413 4.336 4.265 4.184 4.097 4.009 3.914 3.813 3.322 2.717 2.004 17 4.689 4.624 4.565 4.505 4.433 4.367 4.290 4.220 4.139 4.052 3.963 3.869 3.767 3.275 2.669 1.955 18 4.629 4.566 4.507 4.447 4.375 4.309 4.233 4.162 4.082 3.995 3.906 3.812 3.710 3.217 2.610 1.894 19 4.666 4.601 4.542 4.482 4.410 4.344 4.266 4.196 4.115 4.028 3.939 3.844 3.742 3.247 2.638 1.919 20 4.669 4.604 4.545 4.485 4.412 4.346 4.269 4.198 4.117 4.029 3.940 3.845 3.743 3.247 2.635 1.915 21 4.610 4.546 4.487 4.427 4.355 4.289 4.212 4.141 4.060 3.973 3.884 3.789 3.687 3.190 2.577 1.856 22 4.586 4.522 4.463 4.402 4.331 4.264 4.188 4.117 4.036 3.949 3.860 3.764 3.662 3.164 2.550 1.827 23 4.562 4.498 4.440 4.379 4.307 4.241 4.164 4.093 4.012 3.925 3.836 3.741 3.639 3.139 2.524 1.800 24 4.564 4.500 4.441 4.380 4.309 4.242 4.165 4.094 4.013 3.926 3.837 3.741 3.639 3.138 2.522 1.796 25 4.543 4.479 4.421 4.360 4.288 4.221 4.145 4.074 3.993 3.905 3.816 3.720 3.618 3.116 2.498 1.771 26 4.546 4.482 4.423 4.362 4.290 4.224 4.147 4.076 3.994 3.907 3.817 3.722 3.619 3.116 2.497 1.768 27 4.525 4.461 4.402 4.341 4.270 4.203 4.126 4.055 3.974 3.886 3.796 3.701 3.598 3.094 2.474 1.744 28 4.539 4.475 4.416 4.355 4.283 4.216 4.139 4.068 3.986 3.899 3.809 3.713 3.610 3.105 2.482 1.752 29 4.502 4.438 4.379 4.318 4.246 4.179 4.103 4.031 3.950 3.862 3.772 3.677 3.573 3.068 2.445 1.713 30 4.495 4.431 4.372 4.311 4.239 4.172 4.096 4.024 3.943 3.855 3.765 3.669 3.566 3.059 2.435 1.703 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 qcvz -11.704 -11.852 -11.990 -12.132 -12.289 -12.473 -12.681 -13.203 -13.991 -14.613 -14.774 -14.901 -------------------------------------------------------------------------------------------------- 3 1.898 1.774 1.662 1.549 1.427 1.288 1.133 0.768 0.124 -0.548 -0.647 -0.737 4 1.854 1.707 1.570 1.427 1.268 1.078 0.863 0.468 -0.050 -0.537 -0.650 -0.737 5 1.841 1.716 1.599 1.477 1.340 1.176 0.989 0.601 0.098 -0.287 -0.393 -0.478 6 1.866 1.748 1.641 1.531 1.412 1.272 1.119 0.782 0.306 -0.101 -0.214 -0.307 7 1.815 1.714 1.623 1.530 1.428 1.310 1.181 0.868 0.354 -0.192 -0.329 -0.435 8 1.770 1.685 1.608 1.530 1.443 1.337 1.219 0.884 0.294 -0.302 -0.446 -0.557 9 1.684 1.602 1.526 1.446 1.354 1.239 1.102 0.710 0.101 -0.493 -0.636 -0.745 10 1.682 1.598 1.518 1.435 1.339 1.220 1.081 0.700 0.061 -0.538 -0.684 -0.797 11 1.620 1.531 1.447 1.358 1.256 1.129 0.980 0.589 -0.051 -0.665 -0.818 -0.932 12 1.609 1.517 1.429 1.335 1.228 1.094 0.937 0.537 -0.111 -0.762 -0.913 -1.025 13 1.561 1.465 1.374 1.277 1.165 1.027 0.864 0.459 -0.194 -0.777 -0.909 -1.010 14 1.555 1.456 1.362 1.262 1.145 1.000 0.826 0.400 -0.227 -0.681 -0.788 -0.873 15 1.508 1.407 1.313 1.212 1.097 0.955 0.790 0.393 -0.168 -0.569 -0.677 -0.764 16 1.501 1.398 1.302 1.201 1.086 0.946 0.788 0.432 -0.069 -0.508 -0.629 -0.725 17 1.452 1.359 1.272 1.183 1.082 0.963 0.829 0.496 -0.015 -0.520 -0.663 -0.776 18 1.391 1.300 1.216 1.130 1.034 0.920 0.792 0.459 -0.098 -0.643 -0.778 -0.881 19 1.416 1.339 1.268 1.194 1.111 1.011 0.897 0.564 -0.065 -0.673 -0.823 -0.935 20 1.411 1.327 1.251 1.171 1.082 0.973 0.848 0.497 -0.105 -0.674 -0.815 -0.922 21 1.353 1.277 1.206 1.130 1.042 0.932 0.802 0.440 -0.169 -0.839 -0.954 -1.051 22 1.324 1.244 1.169 1.091 1.003 0.895 0.771 0.417 -0.252 -0.822 -0.951 -1.046 23 1.296 1.218 1.144 1.066 0.977 0.867 0.735 0.351 -0.261 -0.800 -0.935 -1.037 24 1.291 1.209 1.132 1.050 0.956 0.840 0.703 0.338 -0.266 -0.822 -0.946 -1.042 25 1.267 1.182 1.104 1.021 0.928 0.815 0.683 0.315 -0.319 -0.820 -0.951 -1.053 26 1.263 1.178 1.098 1.013 0.916 0.797 0.656 0.281 -0.319 -0.825 -0.951 -1.048 27 1.239 1.150 1.067 0.979 0.880 0.760 0.620 0.263 -0.316 -0.867 -1.009 -1.117 28 1.246 1.158 1.076 0.990 0.894 0.778 0.644 0.285 -0.303 -0.880 -1.038 -1.154 29 1.209 1.127 1.050 0.968 0.875 0.760 0.626 0.255 -0.358 -0.875 -1.004 -1.105 30 1.198 1.114 1.035 0.951 0.856 0.739 0.600 0.226 -0.375 -0.907 -1.039 -1.140 ================================================================================================================================== Diffusion velocities (D. Koester, Kiel 2020) log10(vdiff[cm/s] log10(rho[g/cm3]) EL Teff[K] log g = 8.500 log(rho) at bottom of cvz Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 rho 3.011 2.982 2.953 2.926 2.901 2.880 2.857 2.840 2.824 2.811 2.797 2.786 2.777 2.770 2.759 2.753 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.803 -7.773 -7.741 -7.710 -7.679 -7.651 -7.620 -7.592 -7.566 -7.542 -7.517 -7.494 -7.472 -7.452 -7.429 -7.410 4 -7.759 -7.730 -7.697 -7.667 -7.637 -7.609 -7.579 -7.551 -7.526 -7.503 -7.478 -7.456 -7.435 -7.417 -7.394 -7.376 5 -7.749 -7.719 -7.686 -7.656 -7.626 -7.598 -7.569 -7.541 -7.516 -7.493 -7.469 -7.448 -7.427 -7.410 -7.388 -7.370 6 -7.814 -7.782 -7.746 -7.715 -7.683 -7.654 -7.623 -7.593 -7.568 -7.545 -7.520 -7.498 -7.477 -7.460 -7.438 -7.420 7 -7.740 -7.710 -7.675 -7.645 -7.614 -7.586 -7.557 -7.528 -7.504 -7.482 -7.458 -7.438 -7.418 -7.402 -7.381 -7.364 8 -7.677 -7.648 -7.614 -7.585 -7.555 -7.528 -7.500 -7.472 -7.449 -7.429 -7.406 -7.386 -7.368 -7.352 -7.332 -7.316 9 -7.543 -7.517 -7.486 -7.459 -7.432 -7.407 -7.381 -7.356 -7.335 -7.316 -7.295 -7.277 -7.260 -7.246 -7.227 -7.213 10 -7.558 -7.530 -7.499 -7.471 -7.444 -7.419 -7.393 -7.367 -7.346 -7.327 -7.306 -7.289 -7.272 -7.258 -7.239 -7.225 11 -7.468 -7.442 -7.413 -7.387 -7.361 -7.337 -7.313 -7.289 -7.269 -7.251 -7.231 -7.215 -7.199 -7.186 -7.169 -7.155 12 -7.467 -7.442 -7.411 -7.385 -7.359 -7.336 -7.312 -7.287 -7.267 -7.250 -7.230 -7.214 -7.199 -7.186 -7.169 -7.156 13 -7.402 -7.377 -7.348 -7.323 -7.298 -7.276 -7.252 -7.229 -7.210 -7.194 -7.175 -7.159 -7.145 -7.133 -7.116 -7.104 14 -7.406 -7.381 -7.352 -7.327 -7.302 -7.280 -7.256 -7.233 -7.214 -7.197 -7.179 -7.164 -7.149 -7.138 -7.121 -7.108 15 -7.342 -7.318 -7.290 -7.266 -7.242 -7.221 -7.198 -7.176 -7.158 -7.142 -7.124 -7.110 -7.096 -7.085 -7.069 -7.057 16 -7.345 -7.320 -7.292 -7.268 -7.244 -7.222 -7.200 -7.177 -7.159 -7.144 -7.126 -7.112 -7.098 -7.088 -7.072 -7.060 17 -7.275 -7.252 -7.225 -7.202 -7.179 -7.158 -7.137 -7.116 -7.098 -7.084 -7.067 -7.053 -7.040 -7.030 -7.015 -7.004 18 -7.191 -7.169 -7.144 -7.122 -7.100 -7.081 -7.060 -7.040 -7.024 -7.010 -6.994 -6.981 -6.969 -6.960 -6.945 -6.935 19 -7.237 -7.215 -7.188 -7.166 -7.143 -7.123 -7.102 -7.081 -7.065 -7.051 -7.034 -7.022 -7.009 -7.000 -6.985 -6.975 20 -7.239 -7.216 -7.190 -7.167 -7.144 -7.124 -7.104 -7.083 -7.066 -7.052 -7.036 -7.023 -7.011 -7.002 -6.987 -6.977 21 -7.156 -7.135 -7.109 -7.088 -7.066 -7.048 -7.028 -7.008 -6.993 -6.979 -6.964 -6.952 -6.940 -6.932 -6.918 -6.908 22 -7.121 -7.100 -7.075 -7.054 -7.033 -7.015 -6.996 -6.976 -6.961 -6.948 -6.933 -6.922 -6.910 -6.902 -6.889 -6.879 23 -7.087 -7.067 -7.042 -7.022 -7.001 -6.984 -6.965 -6.946 -6.931 -6.919 -6.904 -6.893 -6.881 -6.873 -6.860 -6.851 24 -7.087 -7.066 -7.042 -7.021 -7.001 -6.983 -6.964 -6.945 -6.931 -6.918 -6.904 -6.892 -6.881 -6.874 -6.861 -6.852 25 -7.057 -7.037 -7.013 -6.993 -6.973 -6.955 -6.937 -6.919 -6.904 -6.892 -6.878 -6.867 -6.856 -6.849 -6.836 -6.827 26 -7.058 -7.038 -7.014 -6.994 -6.974 -6.956 -6.938 -6.919 -6.905 -6.893 -6.879 -6.868 -6.857 -6.850 -6.837 -6.829 27 -7.029 -7.009 -6.985 -6.966 -6.946 -6.929 -6.911 -6.893 -6.879 -6.867 -6.853 -6.842 -6.832 -6.825 -6.813 -6.804 28 -7.044 -7.024 -7.000 -6.980 -6.960 -6.943 -6.925 -6.907 -6.892 -6.881 -6.867 -6.856 -6.846 -6.839 -6.827 -6.818 29 -6.994 -6.975 -6.952 -6.932 -6.913 -6.896 -6.879 -6.861 -6.848 -6.836 -6.823 -6.813 -6.803 -6.796 -6.784 -6.776 30 -6.984 -6.964 -6.941 -6.922 -6.903 -6.886 -6.869 -6.851 -6.838 -6.827 -6.813 -6.803 -6.794 -6.787 -6.775 -6.767 EL Teff[K] log g = 8.500 log(rho) at bottom of cvz Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 rho 2.745 2.736 2.730 2.723 2.717 2.713 2.707 2.697 2.683 2.670 2.659 2.643 2.628 2.612 2.598 2.577 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.390 -7.369 -7.351 -7.332 -7.315 -7.300 -7.286 -7.268 -7.248 -7.230 -7.216 -7.196 -7.179 -7.163 -7.147 -7.128 4 -7.357 -7.336 -7.319 -7.302 -7.285 -7.270 -7.256 -7.238 -7.217 -7.199 -7.185 -7.164 -7.147 -7.129 -7.113 -7.093 5 -7.353 -7.332 -7.316 -7.300 -7.283 -7.269 -7.257 -7.238 -7.218 -7.199 -7.186 -7.166 -7.148 -7.131 -7.114 -7.094 6 -7.403 -7.382 -7.366 -7.350 -7.334 -7.320 -7.309 -7.290 -7.270 -7.251 -7.240 -7.219 -7.201 -7.184 -7.167 -7.147 7 -7.348 -7.329 -7.313 -7.299 -7.284 -7.271 -7.261 -7.243 -7.223 -7.206 -7.195 -7.175 -7.157 -7.141 -7.125 -7.105 8 -7.301 -7.283 -7.268 -7.255 -7.240 -7.228 -7.219 -7.202 -7.183 -7.166 -7.156 -7.136 -7.120 -7.104 -7.088 -7.069 9 -7.200 -7.182 -7.169 -7.156 -7.143 -7.132 -7.123 -7.108 -7.090 -7.074 -7.064 -7.046 -7.030 -7.014 -7.000 -6.981 10 -7.212 -7.195 -7.182 -7.170 -7.157 -7.146 -7.138 -7.122 -7.105 -7.089 -7.080 -7.061 -7.046 -7.031 -7.016 -6.997 11 -7.143 -7.127 -7.115 -7.103 -7.091 -7.081 -7.073 -7.058 -7.041 -7.026 -7.017 -7.000 -6.985 -6.970 -6.956 -6.938 12 -7.144 -7.128 -7.116 -7.105 -7.093 -7.083 -7.076 -7.061 -7.044 -7.029 -7.021 -7.004 -6.989 -6.974 -6.961 -6.942 13 -7.093 -7.077 -7.066 -7.055 -7.044 -7.035 -7.028 -7.014 -6.997 -6.983 -6.975 -6.958 -6.943 -6.929 -6.916 -6.898 14 -7.098 -7.082 -7.071 -7.061 -7.050 -7.041 -7.034 -7.020 -7.004 -6.990 -6.982 -6.965 -6.951 -6.937 -6.924 -6.906 15 -7.047 -7.033 -7.022 -7.012 -7.002 -6.993 -6.986 -6.973 -6.957 -6.944 -6.936 -6.919 -6.905 -6.892 -6.879 -6.861 16 -7.050 -7.036 -7.025 -7.016 -7.005 -6.997 -6.991 -6.977 -6.962 -6.948 -6.941 -6.924 -6.911 -6.897 -6.884 -6.866 17 -6.995 -6.981 -6.971 -6.962 -6.952 -6.944 -6.938 -6.925 -6.910 -6.897 -6.889 -6.873 -6.860 -6.846 -6.834 -6.816 18 -6.926 -6.913 -6.903 -6.894 -6.885 -6.878 -6.872 -6.859 -6.845 -6.832 -6.824 -6.809 -6.796 -6.782 -6.770 -6.753 19 -6.966 -6.952 -6.943 -6.934 -6.925 -6.917 -6.912 -6.899 -6.885 -6.872 -6.865 -6.849 -6.836 -6.823 -6.810 -6.793 20 -6.968 -6.955 -6.945 -6.937 -6.928 -6.920 -6.915 -6.903 -6.888 -6.875 -6.868 -6.853 -6.840 -6.827 -6.814 -6.797 21 -6.900 -6.887 -6.878 -6.870 -6.861 -6.854 -6.849 -6.837 -6.823 -6.811 -6.804 -6.789 -6.776 -6.763 -6.751 -6.734 22 -6.871 -6.859 -6.850 -6.842 -6.834 -6.827 -6.822 -6.810 -6.796 -6.784 -6.777 -6.762 -6.750 -6.737 -6.725 -6.708 23 -6.843 -6.831 -6.823 -6.815 -6.807 -6.801 -6.796 -6.784 -6.770 -6.758 -6.752 -6.737 -6.724 -6.712 -6.700 -6.683 24 -6.844 -6.832 -6.824 -6.816 -6.808 -6.802 -6.797 -6.786 -6.772 -6.760 -6.753 -6.739 -6.726 -6.714 -6.702 -6.686 25 -6.820 -6.808 -6.800 -6.793 -6.785 -6.779 -6.774 -6.763 -6.749 -6.738 -6.731 -6.717 -6.704 -6.692 -6.680 -6.664 26 -6.821 -6.810 -6.802 -6.795 -6.787 -6.781 -6.776 -6.765 -6.752 -6.740 -6.734 -6.720 -6.707 -6.695 -6.683 -6.667 27 -6.797 -6.786 -6.778 -6.771 -6.763 -6.758 -6.753 -6.742 -6.729 -6.718 -6.711 -6.697 -6.685 -6.673 -6.661 -6.645 28 -6.811 -6.800 -6.792 -6.785 -6.778 -6.772 -6.768 -6.757 -6.744 -6.732 -6.726 -6.712 -6.700 -6.688 -6.676 -6.660 29 -6.769 -6.758 -6.751 -6.744 -6.737 -6.731 -6.727 -6.716 -6.703 -6.692 -6.686 -6.672 -6.660 -6.648 -6.636 -6.620 30 -6.760 -6.750 -6.743 -6.736 -6.729 -6.723 -6.719 -6.709 -6.696 -6.685 -6.678 -6.665 -6.653 -6.641 -6.629 -6.613 EL Teff[K] log g = 8.500 log(rho) at bottom of cvz Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 rho 2.557 2.531 2.504 2.478 2.446 2.416 2.387 2.353 2.318 2.281 2.241 2.202 2.156 2.110 2.062 2.008 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.110 -7.086 -7.065 -7.046 -7.024 -7.002 -6.981 -6.954 -6.929 -6.904 -6.878 -6.850 -6.821 -6.793 -6.764 -6.728 4 -7.074 -7.048 -7.028 -7.010 -6.987 -6.965 -6.944 -6.915 -6.888 -6.864 -6.838 -6.808 -6.780 -6.752 -6.723 -6.685 5 -7.075 -7.046 -7.027 -7.008 -6.985 -6.963 -6.942 -6.911 -6.884 -6.859 -6.833 -6.801 -6.773 -6.745 -6.716 -6.676 6 -7.127 -7.096 -7.077 -7.059 -7.035 -7.013 -6.991 -6.958 -6.929 -6.904 -6.878 -6.844 -6.815 -6.787 -6.758 -6.716 7 -7.085 -7.055 -7.036 -7.018 -6.995 -6.972 -6.951 -6.918 -6.889 -6.864 -6.838 -6.803 -6.774 -6.746 -6.717 -6.675 8 -7.049 -7.019 -7.001 -6.983 -6.960 -6.938 -6.917 -6.883 -6.855 -6.830 -6.803 -6.769 -6.740 -6.711 -6.682 -6.640 9 -6.962 -6.934 -6.916 -6.898 -6.875 -6.853 -6.832 -6.800 -6.772 -6.747 -6.721 -6.688 -6.659 -6.630 -6.600 -6.559 10 -6.979 -6.950 -6.932 -6.914 -6.892 -6.870 -6.849 -6.816 -6.788 -6.763 -6.737 -6.703 -6.673 -6.645 -6.615 -6.573 11 -6.920 -6.892 -6.874 -6.856 -6.834 -6.812 -6.791 -6.760 -6.732 -6.707 -6.681 -6.647 -6.618 -6.589 -6.559 -6.518 12 -6.924 -6.896 -6.878 -6.861 -6.839 -6.817 -6.796 -6.764 -6.736 -6.711 -6.685 -6.651 -6.622 -6.593 -6.563 -6.521 13 -6.880 -6.853 -6.835 -6.818 -6.796 -6.774 -6.753 -6.722 -6.694 -6.669 -6.643 -6.610 -6.580 -6.551 -6.521 -6.479 14 -6.888 -6.860 -6.842 -6.826 -6.803 -6.782 -6.761 -6.729 -6.702 -6.677 -6.650 -6.617 -6.587 -6.558 -6.528 -6.486 15 -6.844 -6.816 -6.799 -6.782 -6.760 -6.739 -6.718 -6.687 -6.659 -6.634 -6.608 -6.575 -6.545 -6.516 -6.486 -6.444 16 -6.849 -6.822 -6.804 -6.788 -6.766 -6.744 -6.724 -6.692 -6.664 -6.639 -6.613 -6.579 -6.550 -6.521 -6.490 -6.448 17 -6.799 -6.773 -6.755 -6.738 -6.716 -6.695 -6.675 -6.644 -6.617 -6.592 -6.565 -6.533 -6.503 -6.474 -6.443 -6.402 18 -6.736 -6.711 -6.693 -6.676 -6.654 -6.633 -6.613 -6.583 -6.556 -6.531 -6.505 -6.473 -6.444 -6.414 -6.384 -6.343 19 -6.776 -6.750 -6.732 -6.716 -6.694 -6.673 -6.653 -6.622 -6.594 -6.569 -6.543 -6.510 -6.481 -6.451 -6.421 -6.379 20 -6.781 -6.754 -6.737 -6.720 -6.698 -6.677 -6.657 -6.626 -6.599 -6.574 -6.547 -6.514 -6.485 -6.455 -6.425 -6.383 21 -6.718 -6.692 -6.675 -6.658 -6.636 -6.615 -6.595 -6.565 -6.538 -6.513 -6.487 -6.455 -6.425 -6.395 -6.365 -6.324 22 -6.692 -6.667 -6.649 -6.633 -6.611 -6.590 -6.570 -6.540 -6.513 -6.488 -6.462 -6.430 -6.401 -6.371 -6.340 -6.300 23 -6.667 -6.642 -6.625 -6.608 -6.587 -6.566 -6.546 -6.516 -6.489 -6.464 -6.438 -6.406 -6.377 -6.347 -6.316 -6.276 24 -6.669 -6.644 -6.627 -6.610 -6.589 -6.568 -6.548 -6.518 -6.491 -6.467 -6.440 -6.408 -6.379 -6.349 -6.318 -6.278 25 -6.648 -6.623 -6.605 -6.589 -6.567 -6.547 -6.527 -6.497 -6.470 -6.445 -6.419 -6.388 -6.358 -6.328 -6.298 -6.257 26 -6.651 -6.626 -6.609 -6.592 -6.571 -6.550 -6.530 -6.500 -6.474 -6.449 -6.422 -6.391 -6.361 -6.331 -6.301 -6.260 27 -6.629 -6.604 -6.587 -6.570 -6.549 -6.528 -6.508 -6.479 -6.452 -6.427 -6.401 -6.369 -6.340 -6.310 -6.279 -6.239 28 -6.644 -6.619 -6.602 -6.586 -6.564 -6.543 -6.523 -6.493 -6.467 -6.442 -6.416 -6.384 -6.354 -6.324 -6.294 -6.253 29 -6.605 -6.580 -6.563 -6.546 -6.525 -6.504 -6.484 -6.455 -6.429 -6.404 -6.378 -6.346 -6.316 -6.287 -6.256 -6.215 30 -6.598 -6.573 -6.556 -6.540 -6.518 -6.498 -6.478 -6.448 -6.422 -6.397 -6.371 -6.339 -6.310 -6.280 -6.249 -6.209 EL Teff[K] log g = 8.500 log(rho) at bottom of cvz Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 rho 1.952 1.890 1.827 1.759 1.684 1.610 1.530 1.449 1.358 1.261 1.156 1.045 0.923 0.315 -0.437 -1.364 ---------------------------------------------------------------------------------------------------------------------------------- 3 -6.695 -6.655 -6.617 -6.579 -6.534 -6.493 -6.445 -6.401 -6.351 -6.297 -6.241 -6.182 -6.118 -5.810 -5.408 -4.891 4 -6.652 -6.611 -6.572 -6.535 -6.488 -6.448 -6.399 -6.355 -6.304 -6.249 -6.194 -6.134 -6.070 -5.761 -5.358 -4.847 5 -6.644 -6.600 -6.561 -6.524 -6.476 -6.436 -6.385 -6.341 -6.289 -6.234 -6.178 -6.117 -6.053 -5.742 -5.336 -4.829 6 -6.683 -6.638 -6.598 -6.560 -6.510 -6.469 -6.417 -6.372 -6.319 -6.262 -6.206 -6.144 -6.079 -5.767 -5.356 -4.850 7 -6.641 -6.595 -6.555 -6.516 -6.466 -6.425 -6.371 -6.326 -6.272 -6.215 -6.157 -6.095 -6.028 -5.712 -5.299 -4.794 8 -6.606 -6.560 -6.519 -6.480 -6.430 -6.387 -6.333 -6.287 -6.233 -6.174 -6.116 -6.052 -5.985 -5.664 -5.251 -4.746 9 -6.525 -6.480 -6.439 -6.400 -6.349 -6.306 -6.253 -6.206 -6.152 -6.093 -6.034 -5.970 -5.901 -5.575 -5.163 -4.659 10 -6.538 -6.492 -6.451 -6.411 -6.360 -6.316 -6.262 -6.214 -6.159 -6.099 -6.039 -5.974 -5.905 -5.576 -5.163 -4.658 11 -6.483 -6.437 -6.396 -6.356 -6.305 -6.261 -6.207 -6.159 -6.103 -6.043 -5.983 -5.918 -5.848 -5.516 -5.102 -4.598 12 -6.486 -6.440 -6.398 -6.357 -6.306 -6.262 -6.207 -6.158 -6.102 -6.042 -5.981 -5.915 -5.844 -5.510 -5.095 -4.589 13 -6.444 -6.398 -6.357 -6.316 -6.265 -6.220 -6.166 -6.117 -6.060 -6.000 -5.938 -5.872 -5.801 -5.465 -5.049 -4.542 14 -6.450 -6.404 -6.362 -6.321 -6.269 -6.224 -6.169 -6.120 -6.063 -6.002 -5.940 -5.874 -5.803 -5.465 -5.047 -4.538 15 -6.409 -6.363 -6.321 -6.280 -6.228 -6.183 -6.128 -6.079 -6.022 -5.961 -5.899 -5.832 -5.761 -5.421 -5.003 -4.492 16 -6.413 -6.367 -6.324 -6.283 -6.231 -6.186 -6.131 -6.081 -6.024 -5.963 -5.900 -5.833 -5.762 -5.420 -5.000 -4.487 17 -6.366 -6.321 -6.278 -6.237 -6.185 -6.140 -6.085 -6.036 -5.979 -5.917 -5.855 -5.788 -5.716 -5.373 -4.952 -4.437 18 -6.307 -6.262 -6.220 -6.179 -6.128 -6.082 -6.028 -5.978 -5.922 -5.861 -5.798 -5.731 -5.659 -5.315 -4.893 -4.377 19 -6.344 -6.298 -6.255 -6.214 -6.162 -6.117 -6.062 -6.012 -5.954 -5.893 -5.830 -5.763 -5.691 -5.345 -4.920 -4.401 20 -6.347 -6.301 -6.258 -6.217 -6.165 -6.119 -6.064 -6.014 -5.956 -5.895 -5.832 -5.764 -5.692 -5.345 -4.918 -4.397 21 -6.288 -6.243 -6.200 -6.159 -6.107 -6.062 -6.007 -5.957 -5.900 -5.838 -5.775 -5.708 -5.635 -5.288 -4.860 -4.338 22 -6.264 -6.219 -6.176 -6.134 -6.083 -6.037 -5.983 -5.933 -5.876 -5.814 -5.751 -5.684 -5.611 -5.262 -4.833 -4.310 23 -6.240 -6.195 -6.153 -6.111 -6.060 -6.014 -5.959 -5.909 -5.852 -5.791 -5.728 -5.660 -5.587 -5.237 -4.807 -4.282 24 -6.242 -6.197 -6.154 -6.112 -6.061 -6.015 -5.960 -5.910 -5.853 -5.791 -5.728 -5.660 -5.587 -5.236 -4.804 -4.278 25 -6.221 -6.176 -6.134 -6.092 -6.041 -5.994 -5.940 -5.890 -5.832 -5.771 -5.707 -5.640 -5.567 -5.214 -4.781 -4.254 26 -6.224 -6.179 -6.136 -6.094 -6.043 -5.997 -5.942 -5.892 -5.834 -5.772 -5.709 -5.641 -5.568 -5.215 -4.779 -4.251 27 -6.203 -6.158 -6.115 -6.073 -6.022 -5.976 -5.921 -5.871 -5.813 -5.752 -5.688 -5.620 -5.547 -5.193 -4.756 -4.227 28 -6.217 -6.171 -6.129 -6.087 -6.035 -5.989 -5.934 -5.884 -5.826 -5.764 -5.700 -5.632 -5.558 -5.203 -4.765 -4.234 29 -6.179 -6.134 -6.092 -6.050 -5.999 -5.952 -5.898 -5.847 -5.789 -5.728 -5.664 -5.596 -5.522 -5.166 -4.727 -4.196 30 -6.173 -6.128 -6.085 -6.043 -5.992 -5.945 -5.891 -5.840 -5.782 -5.721 -5.657 -5.588 -5.514 -5.157 -4.717 -4.185 EL Teff[K] log g = 8.500 log(rho) at bottom of cvz Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 rho -2.014 -2.144 -2.264 -2.389 -2.525 -2.682 -2.861 -3.304 -3.946 -4.412 -4.543 -4.646 -------------------------------------------------------------------------------------------------- 3 -4.511 -4.405 -4.310 -4.215 -4.114 -4.001 -3.876 -3.590 -3.092 -2.576 -2.508 -2.440 4 -4.467 -4.339 -4.218 -4.094 -3.955 -3.791 -3.606 -3.290 -2.917 -2.587 -2.505 -2.440 5 -4.453 -4.347 -4.247 -4.144 -4.028 -3.889 -3.732 -3.422 -3.066 -2.837 -2.762 -2.699 6 -4.479 -4.379 -4.289 -4.198 -4.099 -3.985 -3.861 -3.603 -3.274 -3.023 -2.940 -2.870 7 -4.428 -4.345 -4.271 -4.196 -4.116 -4.023 -3.924 -3.690 -3.322 -2.931 -2.825 -2.742 8 -4.383 -4.316 -4.257 -4.196 -4.131 -4.050 -3.962 -3.706 -3.262 -2.822 -2.709 -2.620 9 -4.297 -4.233 -4.174 -4.112 -4.041 -3.952 -3.845 -3.532 -3.068 -2.631 -2.518 -2.432 10 -4.295 -4.229 -4.167 -4.101 -4.026 -3.933 -3.823 -3.521 -3.029 -2.586 -2.470 -2.380 11 -4.233 -4.162 -4.096 -4.025 -3.943 -3.842 -3.723 -3.411 -2.917 -2.459 -2.337 -2.245 12 -4.222 -4.148 -4.077 -4.002 -3.915 -3.807 -3.679 -3.359 -2.857 -2.362 -2.241 -2.152 13 -4.173 -4.096 -4.022 -3.943 -3.852 -3.740 -3.606 -3.281 -2.774 -2.347 -2.246 -2.167 14 -4.167 -4.087 -4.011 -3.928 -3.832 -3.713 -3.569 -3.222 -2.741 -2.442 -2.367 -2.304 15 -4.120 -4.038 -3.961 -3.878 -3.784 -3.668 -3.532 -3.215 -2.800 -2.554 -2.477 -2.413 16 -4.113 -4.029 -3.950 -3.867 -3.773 -3.659 -3.531 -3.254 -2.898 -2.615 -2.525 -2.452 17 -4.064 -3.990 -3.921 -3.849 -3.769 -3.676 -3.572 -3.318 -2.953 -2.603 -2.491 -2.401 18 -4.004 -3.931 -3.864 -3.796 -3.721 -3.633 -3.535 -3.281 -2.870 -2.481 -2.377 -2.296 19 -4.029 -3.970 -3.916 -3.860 -3.798 -3.724 -3.640 -3.385 -2.903 -2.451 -2.331 -2.242 20 -4.023 -3.958 -3.899 -3.837 -3.769 -3.686 -3.591 -3.319 -2.863 -2.450 -2.340 -2.255 21 -3.965 -3.909 -3.854 -3.796 -3.729 -3.645 -3.545 -3.261 -2.799 -2.285 -2.200 -2.126 22 -3.936 -3.875 -3.818 -3.758 -3.690 -3.608 -3.513 -3.238 -2.716 -2.302 -2.203 -2.131 23 -3.909 -3.849 -3.792 -3.732 -3.664 -3.580 -3.478 -3.173 -2.707 -2.324 -2.219 -2.140 24 -3.904 -3.841 -3.780 -3.716 -3.643 -3.553 -3.446 -3.159 -2.702 -2.301 -2.208 -2.135 25 -3.879 -3.814 -3.752 -3.688 -3.615 -3.528 -3.426 -3.136 -2.649 -2.303 -2.203 -2.124 26 -3.876 -3.809 -3.746 -3.679 -3.603 -3.510 -3.399 -3.102 -2.649 -2.298 -2.204 -2.129 27 -3.852 -3.781 -3.715 -3.646 -3.567 -3.473 -3.363 -3.085 -2.652 -2.257 -2.145 -2.060 28 -3.859 -3.789 -3.724 -3.656 -3.581 -3.491 -3.386 -3.107 -2.665 -2.244 -2.116 -2.022 29 -3.822 -3.758 -3.698 -3.634 -3.562 -3.473 -3.368 -3.077 -2.610 -2.249 -2.150 -2.072 30 -3.811 -3.746 -3.683 -3.618 -3.543 -3.452 -3.343 -3.048 -2.593 -2.216 -2.115 -2.037