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 0.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -3.312 -3.357 -3.401 -3.445 -3.484 -3.521 -3.551 -3.574 -3.600 -3.615 -3.634 -3.647 -3.657 -3.663 -3.667 -3.673 ---------------------------------------------------------------------------------------------------------------------------------- 3 8.436 8.383 8.328 8.273 8.221 8.170 8.126 8.087 8.050 8.019 7.989 7.963 7.941 7.925 7.909 7.897 4 8.407 8.354 8.300 8.245 8.194 8.142 8.100 8.062 8.025 7.995 7.967 7.941 7.918 7.903 7.886 7.875 5 8.410 8.357 8.302 8.247 8.196 8.144 8.102 8.065 8.029 8.000 7.973 7.947 7.925 7.912 7.895 7.885 6 8.492 8.435 8.378 8.320 8.267 8.211 8.168 8.129 8.093 8.063 8.038 8.011 7.989 7.977 7.960 7.953 7 8.425 8.370 8.314 8.258 8.206 8.152 8.110 8.073 8.039 8.010 7.986 7.960 7.940 7.930 7.914 7.908 8 8.367 8.314 8.259 8.204 8.154 8.101 8.061 8.025 7.992 7.964 7.941 7.917 7.897 7.888 7.874 7.869 9 8.232 8.183 8.132 8.081 8.034 7.984 7.947 7.913 7.882 7.857 7.835 7.813 7.795 7.787 7.775 7.770 10 8.255 8.205 8.153 8.101 8.053 8.003 7.965 7.932 7.901 7.875 7.854 7.832 7.814 7.807 7.794 7.791 11 8.166 8.118 8.068 8.019 7.973 7.925 7.889 7.857 7.828 7.803 7.783 7.762 7.746 7.739 7.728 7.724 12 8.172 8.123 8.073 8.023 7.978 7.929 7.893 7.861 7.832 7.808 7.788 7.767 7.751 7.745 7.734 7.731 13 8.106 8.059 8.011 7.963 7.919 7.872 7.837 7.806 7.778 7.755 7.736 7.716 7.700 7.694 7.684 7.682 14 8.117 8.069 8.021 7.972 7.928 7.880 7.846 7.815 7.787 7.763 7.745 7.725 7.709 7.704 7.694 7.692 15 8.052 8.006 7.959 7.912 7.869 7.824 7.790 7.761 7.733 7.711 7.693 7.674 7.659 7.654 7.645 7.643 16 8.059 8.013 7.966 7.919 7.876 7.829 7.796 7.766 7.739 7.717 7.699 7.680 7.665 7.661 7.652 7.651 17 7.989 7.944 7.898 7.853 7.811 7.767 7.735 7.706 7.680 7.659 7.641 7.623 7.609 7.605 7.596 7.595 18 7.902 7.859 7.816 7.772 7.732 7.690 7.659 7.632 7.606 7.586 7.569 7.552 7.539 7.535 7.527 7.525 19 7.955 7.911 7.866 7.821 7.781 7.737 7.706 7.678 7.652 7.631 7.615 7.597 7.584 7.580 7.572 7.571 20 7.961 7.916 7.871 7.826 7.785 7.741 7.710 7.682 7.657 7.636 7.620 7.602 7.589 7.585 7.577 7.577 21 7.874 7.831 7.788 7.745 7.706 7.664 7.634 7.608 7.583 7.564 7.548 7.531 7.518 7.515 7.508 7.507 22 7.839 7.797 7.755 7.713 7.674 7.633 7.603 7.578 7.553 7.534 7.519 7.502 7.490 7.487 7.480 7.479 23 7.806 7.765 7.723 7.681 7.643 7.603 7.574 7.548 7.525 7.506 7.491 7.475 7.463 7.460 7.453 7.453 24 7.808 7.766 7.725 7.683 7.645 7.605 7.576 7.550 7.527 7.508 7.493 7.477 7.465 7.463 7.456 7.456 25 7.779 7.738 7.697 7.655 7.618 7.578 7.550 7.525 7.501 7.483 7.468 7.453 7.441 7.439 7.433 7.433 26 7.782 7.741 7.700 7.659 7.621 7.581 7.553 7.528 7.505 7.487 7.472 7.457 7.445 7.443 7.437 7.437 27 7.753 7.712 7.671 7.631 7.594 7.555 7.527 7.502 7.479 7.462 7.447 7.432 7.421 7.419 7.413 7.413 28 7.771 7.731 7.689 7.648 7.611 7.571 7.543 7.519 7.496 7.478 7.464 7.449 7.438 7.436 7.430 7.430 29 7.720 7.680 7.640 7.600 7.564 7.525 7.497 7.474 7.451 7.434 7.420 7.405 7.394 7.392 7.387 7.387 30 7.710 7.671 7.630 7.591 7.555 7.516 7.489 7.465 7.443 7.426 7.412 7.398 7.387 7.385 7.380 7.380 EL Teff[K] log g = 7.500 log(qvz) including 0.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -3.676 -3.681 -3.698 -3.717 -3.742 -3.770 -3.800 -3.837 -3.875 -3.916 -3.960 -4.006 -4.050 -4.102 -4.147 -4.199 ---------------------------------------------------------------------------------------------------------------------------------- 3 7.885 7.872 7.852 7.831 7.808 7.784 7.758 7.729 7.699 7.664 7.632 7.598 7.566 7.529 7.494 7.459 4 7.861 7.847 7.825 7.803 7.779 7.755 7.729 7.700 7.670 7.633 7.601 7.568 7.537 7.499 7.464 7.429 5 7.872 7.856 7.834 7.811 7.786 7.762 7.736 7.706 7.676 7.637 7.605 7.572 7.541 7.502 7.466 7.431 6 7.939 7.923 7.901 7.876 7.851 7.826 7.800 7.769 7.738 7.696 7.664 7.632 7.600 7.561 7.522 7.488 7 7.896 7.881 7.860 7.836 7.812 7.787 7.760 7.731 7.700 7.658 7.626 7.593 7.561 7.521 7.483 7.448 8 7.858 7.844 7.824 7.801 7.777 7.753 7.727 7.698 7.667 7.625 7.593 7.560 7.528 7.489 7.450 7.415 9 7.760 7.748 7.729 7.708 7.685 7.662 7.637 7.607 7.577 7.537 7.505 7.472 7.441 7.402 7.364 7.328 10 7.782 7.770 7.751 7.730 7.708 7.685 7.660 7.631 7.601 7.560 7.528 7.495 7.464 7.424 7.386 7.350 11 7.716 7.705 7.687 7.667 7.645 7.623 7.598 7.570 7.540 7.500 7.469 7.436 7.405 7.365 7.328 7.292 12 7.723 7.713 7.695 7.675 7.653 7.631 7.607 7.579 7.549 7.509 7.478 7.445 7.414 7.374 7.336 7.301 13 7.675 7.665 7.648 7.628 7.607 7.585 7.562 7.534 7.504 7.465 7.434 7.401 7.370 7.331 7.293 7.257 14 7.686 7.676 7.659 7.639 7.619 7.597 7.573 7.545 7.516 7.476 7.445 7.413 7.382 7.342 7.304 7.269 15 7.637 7.627 7.611 7.592 7.572 7.550 7.527 7.499 7.470 7.431 7.400 7.368 7.337 7.298 7.260 7.224 16 7.644 7.635 7.619 7.600 7.580 7.559 7.535 7.508 7.479 7.440 7.409 7.376 7.345 7.306 7.268 7.233 17 7.589 7.581 7.565 7.547 7.527 7.506 7.483 7.455 7.427 7.388 7.357 7.325 7.294 7.255 7.218 7.182 18 7.520 7.512 7.497 7.479 7.460 7.439 7.416 7.389 7.360 7.323 7.292 7.260 7.228 7.190 7.153 7.117 19 7.566 7.558 7.542 7.524 7.505 7.484 7.462 7.434 7.406 7.367 7.337 7.304 7.273 7.234 7.197 7.161 20 7.572 7.564 7.549 7.531 7.511 7.491 7.468 7.441 7.412 7.374 7.343 7.311 7.280 7.241 7.203 7.168 21 7.503 7.495 7.480 7.463 7.443 7.423 7.401 7.374 7.345 7.308 7.277 7.245 7.214 7.175 7.138 7.102 22 7.475 7.468 7.453 7.436 7.417 7.397 7.374 7.347 7.319 7.282 7.251 7.219 7.188 7.149 7.113 7.077 23 7.449 7.442 7.427 7.410 7.391 7.371 7.349 7.322 7.294 7.257 7.226 7.194 7.163 7.124 7.088 7.052 24 7.452 7.445 7.431 7.414 7.395 7.375 7.353 7.326 7.298 7.261 7.230 7.198 7.166 7.128 7.092 7.056 25 7.429 7.422 7.408 7.391 7.372 7.352 7.330 7.304 7.275 7.239 7.208 7.176 7.145 7.106 7.070 7.034 26 7.433 7.427 7.412 7.396 7.377 7.357 7.335 7.308 7.280 7.243 7.213 7.180 7.149 7.111 7.074 7.038 27 7.410 7.403 7.389 7.373 7.354 7.334 7.312 7.286 7.258 7.221 7.190 7.158 7.127 7.088 7.052 7.016 28 7.427 7.421 7.406 7.390 7.371 7.352 7.330 7.303 7.275 7.238 7.207 7.175 7.144 7.105 7.069 7.033 29 7.384 7.378 7.364 7.348 7.330 7.310 7.288 7.262 7.234 7.197 7.167 7.134 7.103 7.065 7.029 6.993 30 7.377 7.371 7.358 7.341 7.323 7.304 7.282 7.255 7.227 7.191 7.160 7.128 7.097 7.058 7.022 6.986 EL Teff[K] log g = 7.500 log(qvz) including 0.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -4.250 -4.299 -4.352 -4.408 -4.468 -4.531 -4.594 -4.666 -4.745 -4.830 -4.917 -5.015 -5.115 -5.221 -5.337 -5.460 ---------------------------------------------------------------------------------------------------------------------------------- 3 7.424 7.389 7.350 7.310 7.271 7.226 7.185 7.139 7.084 7.030 6.969 6.908 6.843 6.777 6.702 6.626 4 7.394 7.359 7.320 7.278 7.240 7.194 7.154 7.109 7.053 7.000 6.937 6.877 6.812 6.746 6.670 6.595 5 7.397 7.362 7.322 7.279 7.241 7.194 7.154 7.109 7.053 6.999 6.935 6.876 6.810 6.745 6.668 6.593 6 7.454 7.418 7.376 7.331 7.294 7.245 7.206 7.161 7.103 7.049 6.982 6.924 6.857 6.792 6.714 6.639 7 7.414 7.377 7.336 7.290 7.253 7.203 7.164 7.119 7.060 7.006 6.939 6.880 6.812 6.747 6.668 6.593 8 7.381 7.344 7.302 7.257 7.219 7.169 7.129 7.084 7.025 6.970 6.903 6.843 6.775 6.709 6.629 6.553 9 7.294 7.257 7.216 7.171 7.133 7.084 7.043 6.997 6.939 6.884 6.817 6.756 6.688 6.621 6.541 6.464 10 7.316 7.279 7.237 7.192 7.153 7.103 7.063 7.016 6.957 6.901 6.833 6.772 6.703 6.635 6.555 6.477 11 7.257 7.221 7.179 7.134 7.095 7.046 7.005 6.958 6.899 6.843 6.776 6.714 6.644 6.576 6.495 6.416 12 7.266 7.229 7.187 7.142 7.103 7.053 7.012 6.965 6.905 6.849 6.780 6.718 6.648 6.579 6.497 6.418 13 7.222 7.186 7.144 7.099 7.060 7.010 6.969 6.922 6.862 6.805 6.737 6.675 6.604 6.535 6.453 6.373 14 7.234 7.197 7.155 7.110 7.070 7.020 6.979 6.931 6.871 6.814 6.746 6.682 6.612 6.542 6.459 6.379 15 7.189 7.153 7.111 7.066 7.027 6.977 6.935 6.887 6.827 6.770 6.702 6.639 6.568 6.497 6.415 6.334 16 7.198 7.161 7.119 7.074 7.034 6.984 6.942 6.894 6.834 6.777 6.708 6.644 6.573 6.502 6.419 6.338 17 7.147 7.110 7.069 7.024 6.984 6.935 6.893 6.845 6.785 6.727 6.659 6.595 6.524 6.453 6.370 6.288 18 7.082 7.046 7.005 6.961 6.921 6.872 6.830 6.781 6.722 6.664 6.597 6.533 6.462 6.390 6.308 6.226 19 7.126 7.090 7.048 7.003 6.963 6.914 6.871 6.823 6.763 6.705 6.637 6.572 6.501 6.429 6.346 6.264 20 7.132 7.096 7.054 7.009 6.969 6.919 6.877 6.828 6.768 6.710 6.641 6.576 6.505 6.433 6.350 6.267 21 7.067 7.031 6.990 6.945 6.905 6.856 6.813 6.765 6.705 6.647 6.579 6.514 6.443 6.371 6.288 6.206 22 7.041 7.005 6.964 6.920 6.880 6.831 6.788 6.739 6.679 6.621 6.554 6.489 6.417 6.345 6.263 6.180 23 7.017 6.980 6.940 6.895 6.855 6.806 6.763 6.715 6.655 6.597 6.530 6.464 6.393 6.321 6.238 6.155 24 7.020 6.984 6.943 6.899 6.858 6.809 6.767 6.718 6.658 6.599 6.532 6.467 6.395 6.323 6.240 6.157 25 6.998 6.962 6.921 6.877 6.837 6.788 6.745 6.696 6.636 6.578 6.511 6.445 6.374 6.301 6.219 6.136 26 7.003 6.967 6.926 6.881 6.841 6.792 6.749 6.700 6.640 6.582 6.514 6.449 6.377 6.305 6.222 6.138 27 6.981 6.944 6.904 6.860 6.819 6.770 6.727 6.678 6.618 6.560 6.492 6.427 6.355 6.283 6.200 6.117 28 6.998 6.961 6.920 6.876 6.835 6.786 6.743 6.694 6.634 6.575 6.508 6.442 6.370 6.298 6.215 6.131 29 6.957 6.921 6.880 6.836 6.795 6.746 6.704 6.654 6.595 6.536 6.469 6.403 6.331 6.259 6.176 6.092 30 6.951 6.914 6.874 6.830 6.789 6.740 6.697 6.648 6.588 6.529 6.462 6.396 6.325 6.252 6.169 6.085 EL Teff[K] log g = 7.500 log(qvz) including 0.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 qcvz -5.596 -5.744 -5.905 -6.082 -6.274 -6.475 -6.706 -6.980 -7.278 -7.573 -7.902 -8.262 -8.640 -10.513 -10.799 -11.045 ---------------------------------------------------------------------------------------------------------------------------------- 3 6.541 6.450 6.351 6.245 6.129 6.007 5.868 5.698 5.513 5.330 5.123 4.894 4.652 3.300 3.092 2.933 4 6.510 6.418 6.320 6.214 6.099 5.978 5.842 5.673 5.489 5.307 5.102 4.873 4.631 3.065 2.764 2.598 5 6.508 6.416 6.318 6.212 6.097 5.975 5.840 5.669 5.485 5.304 5.099 4.870 4.628 3.183 2.915 2.739 6 6.553 6.460 6.362 6.257 6.141 6.019 5.885 5.713 5.527 5.345 5.139 4.910 4.668 3.295 3.081 2.930 7 6.506 6.412 6.313 6.207 6.090 5.967 5.831 5.657 5.471 5.287 5.081 4.851 4.611 3.349 3.175 3.033 8 6.465 6.370 6.270 6.163 6.045 5.921 5.784 5.609 5.421 5.237 5.031 4.801 4.560 3.391 3.233 3.080 9 6.376 6.280 6.179 6.070 5.951 5.826 5.687 5.512 5.323 5.139 4.933 4.703 4.463 3.292 3.104 2.921 10 6.387 6.291 6.189 6.079 5.959 5.833 5.693 5.517 5.328 5.144 4.937 4.707 4.467 3.262 3.068 2.892 11 6.326 6.229 6.126 6.016 5.895 5.768 5.627 5.450 5.261 5.077 4.870 4.641 4.400 3.158 2.949 2.769 12 6.327 6.229 6.126 6.014 5.892 5.765 5.624 5.446 5.257 5.072 4.865 4.636 4.395 3.118 2.896 2.713 13 6.282 6.184 6.079 5.967 5.844 5.717 5.575 5.397 5.207 5.022 4.815 4.585 4.344 3.043 2.813 2.629 14 6.287 6.188 6.083 5.970 5.847 5.719 5.576 5.397 5.207 5.022 4.815 4.584 4.342 3.014 2.770 2.577 15 6.242 6.143 6.038 5.924 5.800 5.672 5.528 5.350 5.159 4.974 4.766 4.536 4.293 2.962 2.729 2.548 16 6.245 6.146 6.040 5.926 5.802 5.673 5.529 5.350 5.159 4.973 4.764 4.533 4.290 2.952 2.730 2.565 17 6.196 6.096 5.990 5.876 5.751 5.622 5.478 5.298 5.107 4.921 4.712 4.480 4.237 2.970 2.784 2.629 18 6.134 6.034 5.928 5.814 5.689 5.560 5.415 5.235 5.043 4.856 4.647 4.416 4.172 2.929 2.753 2.599 19 6.171 6.071 5.964 5.849 5.724 5.595 5.449 5.269 5.076 4.889 4.679 4.446 4.201 3.030 2.875 2.719 20 6.174 6.073 5.967 5.851 5.726 5.596 5.450 5.269 5.076 4.888 4.677 4.444 4.198 2.992 2.819 2.656 21 6.112 6.012 5.905 5.790 5.664 5.534 5.388 5.207 5.013 4.825 4.614 4.380 4.134 2.954 2.772 2.598 22 6.087 5.987 5.880 5.764 5.638 5.508 5.361 5.180 4.986 4.797 4.585 4.351 4.105 2.908 2.735 2.570 23 6.062 5.962 5.855 5.739 5.613 5.482 5.335 5.154 4.959 4.770 4.558 4.323 4.076 2.881 2.699 2.520 24 6.064 5.963 5.856 5.740 5.614 5.483 5.335 5.153 4.958 4.768 4.555 4.320 4.072 2.851 2.659 2.486 25 6.042 5.941 5.834 5.718 5.591 5.460 5.312 5.130 4.934 4.744 4.530 4.295 4.047 2.822 2.638 2.468 26 6.045 5.944 5.836 5.720 5.593 5.462 5.313 5.130 4.934 4.743 4.529 4.293 4.045 2.804 2.608 2.433 27 6.023 5.922 5.814 5.698 5.571 5.439 5.290 5.107 4.910 4.719 4.505 4.268 4.020 2.763 2.568 2.401 28 6.037 5.936 5.828 5.711 5.584 5.452 5.303 5.119 4.922 4.729 4.514 4.277 4.028 2.781 2.594 2.428 29 5.998 5.897 5.789 5.672 5.545 5.413 5.263 5.079 4.882 4.689 4.474 4.237 3.988 2.767 2.579 2.406 30 5.991 5.890 5.782 5.665 5.537 5.405 5.255 5.071 4.873 4.680 4.464 4.226 3.977 2.744 2.551 2.376 EL Teff[K] log g = 7.500 log(qvz) including 0.00 Hp overshoot Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 qcvz -11.304 -11.586 -11.897 -12.290 -12.966 -13.467 -13.670 -13.821 -13.896 -13.968 -14.030 -14.098 -------------------------------------------------------------------------------------------------- 3 2.763 2.568 2.331 1.981 1.264 0.870 0.696 0.596 0.555 0.515 0.474 0.422 4 2.433 2.262 2.065 1.769 1.214 0.874 0.733 0.621 0.563 0.509 0.461 0.410 5 2.564 2.376 2.169 1.914 1.486 1.145 1.005 0.898 0.840 0.786 0.740 0.689 6 2.772 2.598 2.403 2.155 1.691 1.281 1.109 1.001 0.949 0.899 0.857 0.810 7 2.880 2.703 2.501 2.225 1.582 1.107 0.923 0.809 0.756 0.704 0.660 0.610 8 2.909 2.715 2.486 2.153 1.453 0.946 0.754 0.637 0.584 0.533 0.490 0.440 9 2.718 2.496 2.251 1.936 1.260 0.773 0.595 0.484 0.431 0.379 0.335 0.285 10 2.699 2.484 2.234 1.890 1.206 0.710 0.537 0.423 0.369 0.317 0.273 0.224 11 2.575 2.359 2.109 1.769 1.076 0.595 0.420 0.309 0.259 0.209 0.167 0.120 12 2.518 2.300 2.050 1.708 0.987 0.526 0.391 0.274 0.220 0.168 0.123 0.073 13 2.433 2.216 1.966 1.618 0.968 0.562 0.415 0.305 0.249 0.196 0.150 0.100 14 2.375 2.150 1.900 1.587 1.088 0.746 0.604 0.498 0.444 0.392 0.348 0.299 15 2.359 2.150 1.919 1.647 1.204 0.841 0.685 0.576 0.523 0.473 0.429 0.381 16 2.397 2.216 2.014 1.758 1.262 0.835 0.662 0.550 0.497 0.447 0.404 0.355 17 2.463 2.282 2.080 1.816 1.234 0.714 0.532 0.420 0.369 0.318 0.276 0.228 18 2.432 2.245 2.029 1.732 1.113 0.666 0.493 0.381 0.329 0.279 0.237 0.188 19 2.545 2.348 2.114 1.763 1.078 0.591 0.419 0.314 0.265 0.217 0.174 0.126 20 2.477 2.275 2.042 1.722 1.075 0.611 0.433 0.318 0.266 0.216 0.173 0.124 21 2.413 2.211 1.982 1.658 0.934 0.520 0.350 0.241 0.190 0.140 0.098 0.052 22 2.389 2.182 1.933 1.569 0.934 0.525 0.355 0.242 0.188 0.136 0.091 0.041 23 2.323 2.104 1.862 1.552 0.946 0.527 0.363 0.252 0.200 0.149 0.106 0.058 24 2.302 2.099 1.868 1.549 0.936 0.528 0.362 0.250 0.197 0.146 0.103 0.054 25 2.282 2.069 1.820 1.496 0.933 0.493 0.324 0.212 0.159 0.107 0.064 0.015 26 2.245 2.038 1.804 1.496 0.931 0.516 0.348 0.235 0.183 0.131 0.088 0.039 27 2.223 2.027 1.802 1.499 0.879 0.421 0.259 0.148 0.094 0.043 -0.001 -0.050 28 2.248 2.047 1.817 1.511 0.855 0.386 0.233 0.124 0.070 0.018 -0.026 -0.075 29 2.219 2.010 1.772 1.453 0.876 0.440 0.264 0.149 0.096 0.044 -0.000 -0.050 30 2.188 1.979 1.744 1.436 0.840 0.404 0.227 0.111 0.058 0.006 -0.037 -0.087 ================================================================================================================================== 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 3.199 3.169 3.139 3.108 3.080 3.052 3.027 3.006 2.982 2.965 2.946 2.929 2.915 2.901 2.889 2.877 ---------------------------------------------------------------------------------------------------------------------------------- 3 -8.860 -8.823 -8.782 -8.740 -8.700 -8.657 -8.619 -8.583 -8.547 -8.515 -8.484 -8.454 -8.427 -8.404 -8.380 -8.361 4 -8.831 -8.794 -8.754 -8.712 -8.672 -8.629 -8.592 -8.557 -8.523 -8.491 -8.462 -8.432 -8.405 -8.382 -8.357 -8.339 5 -8.834 -8.796 -8.756 -8.714 -8.675 -8.631 -8.595 -8.560 -8.527 -8.495 -8.468 -8.438 -8.412 -8.391 -8.366 -8.349 6 -8.916 -8.875 -8.832 -8.788 -8.745 -8.698 -8.661 -8.624 -8.591 -8.559 -8.532 -8.502 -8.476 -8.456 -8.431 -8.417 7 -8.849 -8.810 -8.768 -8.725 -8.685 -8.639 -8.603 -8.568 -8.536 -8.506 -8.480 -8.452 -8.426 -8.409 -8.385 -8.372 8 -8.791 -8.753 -8.713 -8.672 -8.632 -8.588 -8.553 -8.520 -8.489 -8.460 -8.436 -8.408 -8.384 -8.368 -8.345 -8.333 9 -8.657 -8.622 -8.586 -8.548 -8.512 -8.472 -8.439 -8.409 -8.380 -8.353 -8.330 -8.304 -8.282 -8.266 -8.246 -8.234 10 -8.680 -8.644 -8.607 -8.569 -8.532 -8.490 -8.458 -8.427 -8.398 -8.371 -8.349 -8.323 -8.301 -8.286 -8.266 -8.255 11 -8.590 -8.557 -8.522 -8.486 -8.452 -8.412 -8.382 -8.352 -8.325 -8.299 -8.278 -8.253 -8.232 -8.218 -8.199 -8.188 12 -8.596 -8.563 -8.527 -8.491 -8.456 -8.416 -8.386 -8.356 -8.329 -8.303 -8.283 -8.258 -8.237 -8.224 -8.205 -8.195 13 -8.531 -8.499 -8.465 -8.430 -8.397 -8.359 -8.330 -8.302 -8.276 -8.251 -8.230 -8.207 -8.187 -8.174 -8.155 -8.146 14 -8.541 -8.509 -8.475 -8.440 -8.406 -8.368 -8.339 -8.310 -8.284 -8.259 -8.240 -8.216 -8.196 -8.183 -8.165 -8.157 15 -8.477 -8.446 -8.413 -8.380 -8.348 -8.311 -8.283 -8.256 -8.231 -8.207 -8.188 -8.165 -8.146 -8.133 -8.116 -8.107 16 -8.484 -8.453 -8.420 -8.386 -8.354 -8.317 -8.289 -8.262 -8.237 -8.213 -8.194 -8.171 -8.152 -8.140 -8.123 -8.115 17 -8.413 -8.384 -8.352 -8.320 -8.290 -8.254 -8.227 -8.201 -8.177 -8.154 -8.136 -8.114 -8.096 -8.084 -8.067 -8.059 18 -8.327 -8.299 -8.270 -8.239 -8.210 -8.177 -8.152 -8.127 -8.104 -8.082 -8.064 -8.044 -8.026 -8.014 -7.998 -7.990 19 -8.379 -8.351 -8.320 -8.289 -8.259 -8.224 -8.198 -8.173 -8.150 -8.127 -8.110 -8.088 -8.070 -8.059 -8.043 -8.036 20 -8.385 -8.356 -8.325 -8.294 -8.264 -8.229 -8.203 -8.177 -8.154 -8.132 -8.114 -8.093 -8.075 -8.065 -8.049 -8.042 21 -8.298 -8.271 -8.242 -8.213 -8.185 -8.152 -8.127 -8.103 -8.081 -8.060 -8.042 -8.022 -8.005 -7.994 -7.979 -7.971 22 -8.264 -8.237 -8.209 -8.180 -8.152 -8.120 -8.096 -8.073 -8.051 -8.030 -8.013 -7.994 -7.977 -7.966 -7.951 -7.944 23 -8.230 -8.204 -8.177 -8.149 -8.122 -8.090 -8.067 -8.044 -8.022 -8.002 -7.985 -7.966 -7.950 -7.939 -7.924 -7.917 24 -8.232 -8.206 -8.179 -8.151 -8.124 -8.092 -8.068 -8.045 -8.024 -8.004 -7.988 -7.969 -7.952 -7.942 -7.927 -7.920 25 -8.203 -8.178 -8.151 -8.123 -8.097 -8.066 -8.042 -8.020 -7.999 -7.979 -7.963 -7.944 -7.928 -7.918 -7.904 -7.897 26 -8.206 -8.181 -8.154 -8.126 -8.100 -8.068 -8.046 -8.023 -8.002 -7.983 -7.967 -7.948 -7.932 -7.922 -7.908 -7.901 27 -8.177 -8.152 -8.126 -8.098 -8.072 -8.042 -8.019 -7.997 -7.977 -7.958 -7.942 -7.923 -7.908 -7.898 -7.884 -7.877 28 -8.196 -8.170 -8.143 -8.116 -8.090 -8.059 -8.036 -8.014 -7.994 -7.974 -7.959 -7.940 -7.924 -7.915 -7.901 -7.895 29 -8.144 -8.120 -8.094 -8.067 -8.042 -8.012 -7.990 -7.969 -7.949 -7.930 -7.915 -7.896 -7.881 -7.872 -7.858 -7.852 30 -8.135 -8.110 -8.085 -8.058 -8.033 -8.003 -7.982 -7.960 -7.940 -7.922 -7.907 -7.889 -7.874 -7.864 -7.851 -7.845 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 2.864 2.851 2.831 2.809 2.782 2.754 2.725 2.692 2.658 2.623 2.585 2.546 2.508 2.467 2.428 2.385 ---------------------------------------------------------------------------------------------------------------------------------- 3 -8.340 -8.318 -8.295 -8.271 -8.246 -8.222 -8.198 -8.172 -8.147 -8.117 -8.091 -8.065 -8.040 -8.012 -7.984 -7.958 4 -8.316 -8.293 -8.269 -8.243 -8.218 -8.193 -8.169 -8.143 -8.118 -8.086 -8.061 -8.035 -8.010 -7.983 -7.954 -7.928 5 -8.326 -8.303 -8.278 -8.251 -8.225 -8.200 -8.175 -8.149 -8.123 -8.090 -8.064 -8.039 -8.014 -7.986 -7.956 -7.931 6 -8.394 -8.370 -8.344 -8.316 -8.290 -8.265 -8.239 -8.212 -8.186 -8.150 -8.124 -8.098 -8.073 -8.044 -8.012 -7.987 7 -8.351 -8.328 -8.303 -8.276 -8.250 -8.225 -8.200 -8.174 -8.147 -8.111 -8.085 -8.059 -8.034 -8.005 -7.973 -7.948 8 -8.313 -8.291 -8.267 -8.241 -8.216 -8.192 -8.167 -8.141 -8.115 -8.079 -8.053 -8.027 -8.002 -7.972 -7.940 -7.915 9 -8.215 -8.195 -8.172 -8.148 -8.124 -8.100 -8.076 -8.051 -8.025 -7.991 -7.965 -7.939 -7.914 -7.885 -7.854 -7.828 10 -8.237 -8.217 -8.194 -8.170 -8.146 -8.123 -8.099 -8.074 -8.049 -8.013 -7.987 -7.962 -7.937 -7.908 -7.876 -7.850 11 -8.171 -8.152 -8.130 -8.107 -8.084 -8.061 -8.038 -8.013 -7.988 -7.954 -7.928 -7.903 -7.878 -7.849 -7.818 -7.792 12 -8.178 -8.159 -8.138 -8.115 -8.092 -8.070 -8.046 -8.022 -7.997 -7.963 -7.937 -7.912 -7.887 -7.858 -7.826 -7.801 13 -8.130 -8.111 -8.091 -8.068 -8.046 -8.024 -8.001 -7.977 -7.952 -7.919 -7.893 -7.868 -7.843 -7.814 -7.783 -7.757 14 -8.140 -8.122 -8.102 -8.080 -8.057 -8.035 -8.013 -7.989 -7.964 -7.930 -7.905 -7.879 -7.855 -7.826 -7.794 -7.769 15 -8.091 -8.074 -8.054 -8.032 -8.010 -7.989 -7.966 -7.942 -7.918 -7.885 -7.860 -7.834 -7.810 -7.781 -7.750 -7.724 16 -8.099 -8.082 -8.062 -8.040 -8.019 -7.997 -7.975 -7.951 -7.927 -7.893 -7.868 -7.843 -7.818 -7.789 -7.758 -7.733 17 -8.044 -8.027 -8.008 -7.987 -7.965 -7.944 -7.922 -7.898 -7.875 -7.842 -7.817 -7.791 -7.767 -7.738 -7.708 -7.682 18 -7.975 -7.959 -7.940 -7.920 -7.898 -7.877 -7.855 -7.832 -7.808 -7.776 -7.751 -7.726 -7.702 -7.673 -7.643 -7.617 19 -8.021 -8.005 -7.986 -7.965 -7.944 -7.923 -7.901 -7.877 -7.854 -7.821 -7.796 -7.771 -7.746 -7.718 -7.687 -7.661 20 -8.027 -8.011 -7.992 -7.971 -7.950 -7.929 -7.907 -7.884 -7.860 -7.827 -7.802 -7.777 -7.753 -7.724 -7.693 -7.667 21 -7.957 -7.942 -7.923 -7.903 -7.882 -7.862 -7.840 -7.817 -7.793 -7.761 -7.736 -7.711 -7.687 -7.658 -7.628 -7.602 22 -7.930 -7.915 -7.896 -7.876 -7.856 -7.835 -7.814 -7.790 -7.767 -7.735 -7.711 -7.685 -7.661 -7.633 -7.603 -7.577 23 -7.903 -7.888 -7.870 -7.851 -7.830 -7.810 -7.788 -7.765 -7.742 -7.710 -7.686 -7.660 -7.636 -7.608 -7.578 -7.552 24 -7.907 -7.892 -7.874 -7.854 -7.834 -7.813 -7.792 -7.769 -7.745 -7.714 -7.689 -7.664 -7.640 -7.611 -7.582 -7.555 25 -7.883 -7.869 -7.851 -7.831 -7.811 -7.791 -7.770 -7.747 -7.723 -7.692 -7.667 -7.642 -7.618 -7.589 -7.560 -7.534 26 -7.888 -7.873 -7.856 -7.836 -7.816 -7.796 -7.774 -7.751 -7.728 -7.697 -7.672 -7.647 -7.623 -7.594 -7.564 -7.538 27 -7.864 -7.850 -7.832 -7.813 -7.793 -7.773 -7.752 -7.729 -7.705 -7.674 -7.650 -7.624 -7.600 -7.572 -7.542 -7.516 28 -7.882 -7.867 -7.850 -7.830 -7.810 -7.790 -7.769 -7.746 -7.723 -7.692 -7.667 -7.642 -7.617 -7.589 -7.559 -7.533 29 -7.839 -7.825 -7.807 -7.788 -7.768 -7.748 -7.727 -7.705 -7.681 -7.651 -7.626 -7.601 -7.577 -7.548 -7.519 -7.492 30 -7.832 -7.818 -7.801 -7.782 -7.762 -7.742 -7.721 -7.698 -7.675 -7.644 -7.620 -7.594 -7.570 -7.542 -7.512 -7.486 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 2.344 2.304 2.260 2.215 2.167 2.116 2.064 2.007 1.944 1.877 1.808 1.730 1.651 1.566 1.474 1.376 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.933 -7.907 -7.879 -7.849 -7.821 -7.789 -7.760 -7.728 -7.690 -7.654 -7.611 -7.570 -7.526 -7.482 -7.431 -7.381 4 -7.904 -7.878 -7.848 -7.817 -7.791 -7.757 -7.729 -7.699 -7.660 -7.624 -7.579 -7.540 -7.495 -7.451 -7.400 -7.350 5 -7.906 -7.880 -7.850 -7.818 -7.792 -7.757 -7.729 -7.699 -7.659 -7.623 -7.577 -7.538 -7.493 -7.450 -7.397 -7.348 6 -7.963 -7.936 -7.904 -7.870 -7.845 -7.808 -7.780 -7.751 -7.709 -7.673 -7.625 -7.586 -7.540 -7.497 -7.443 -7.394 7 -7.923 -7.896 -7.864 -7.829 -7.804 -7.767 -7.739 -7.709 -7.667 -7.630 -7.581 -7.542 -7.495 -7.452 -7.397 -7.347 8 -7.890 -7.863 -7.830 -7.796 -7.770 -7.733 -7.704 -7.674 -7.631 -7.594 -7.545 -7.505 -7.458 -7.413 -7.358 -7.307 9 -7.803 -7.776 -7.744 -7.710 -7.684 -7.647 -7.618 -7.587 -7.545 -7.508 -7.459 -7.419 -7.371 -7.326 -7.271 -7.219 10 -7.825 -7.798 -7.765 -7.731 -7.704 -7.667 -7.637 -7.606 -7.563 -7.525 -7.476 -7.434 -7.386 -7.340 -7.284 -7.231 11 -7.767 -7.740 -7.707 -7.673 -7.646 -7.609 -7.580 -7.548 -7.505 -7.467 -7.418 -7.376 -7.327 -7.281 -7.224 -7.171 12 -7.775 -7.748 -7.716 -7.681 -7.654 -7.617 -7.587 -7.555 -7.511 -7.473 -7.423 -7.380 -7.331 -7.284 -7.227 -7.172 13 -7.732 -7.705 -7.673 -7.638 -7.611 -7.574 -7.544 -7.511 -7.468 -7.429 -7.380 -7.337 -7.287 -7.240 -7.182 -7.128 14 -7.743 -7.716 -7.684 -7.649 -7.621 -7.584 -7.554 -7.521 -7.478 -7.438 -7.388 -7.345 -7.295 -7.246 -7.188 -7.133 15 -7.699 -7.672 -7.640 -7.605 -7.578 -7.540 -7.510 -7.477 -7.434 -7.394 -7.345 -7.301 -7.251 -7.202 -7.144 -7.088 16 -7.707 -7.680 -7.647 -7.613 -7.585 -7.548 -7.517 -7.484 -7.440 -7.401 -7.350 -7.306 -7.256 -7.207 -7.148 -7.092 17 -7.656 -7.629 -7.597 -7.563 -7.535 -7.498 -7.468 -7.434 -7.391 -7.351 -7.301 -7.257 -7.207 -7.157 -7.099 -7.043 18 -7.591 -7.565 -7.533 -7.500 -7.472 -7.435 -7.405 -7.371 -7.328 -7.288 -7.239 -7.195 -7.145 -7.095 -7.038 -6.981 19 -7.635 -7.608 -7.576 -7.542 -7.514 -7.477 -7.446 -7.413 -7.369 -7.329 -7.279 -7.234 -7.184 -7.134 -7.076 -7.018 20 -7.642 -7.615 -7.582 -7.548 -7.520 -7.482 -7.452 -7.418 -7.374 -7.334 -7.284 -7.239 -7.188 -7.138 -7.079 -7.022 21 -7.576 -7.549 -7.518 -7.484 -7.456 -7.419 -7.388 -7.354 -7.311 -7.271 -7.221 -7.176 -7.126 -7.076 -7.017 -6.960 22 -7.551 -7.524 -7.492 -7.459 -7.430 -7.394 -7.363 -7.329 -7.286 -7.245 -7.196 -7.151 -7.100 -7.050 -6.992 -6.935 23 -7.526 -7.499 -7.468 -7.434 -7.406 -7.369 -7.338 -7.304 -7.261 -7.221 -7.172 -7.126 -7.076 -7.026 -6.968 -6.910 24 -7.529 -7.503 -7.471 -7.438 -7.409 -7.373 -7.341 -7.307 -7.264 -7.223 -7.174 -7.129 -7.078 -7.028 -6.969 -6.912 25 -7.508 -7.481 -7.449 -7.416 -7.387 -7.351 -7.320 -7.286 -7.243 -7.202 -7.153 -7.107 -7.057 -7.006 -6.948 -6.890 26 -7.512 -7.485 -7.454 -7.420 -7.392 -7.355 -7.324 -7.290 -7.247 -7.206 -7.157 -7.111 -7.060 -7.009 -6.951 -6.893 27 -7.490 -7.463 -7.432 -7.398 -7.370 -7.333 -7.302 -7.268 -7.225 -7.184 -7.135 -7.089 -7.038 -6.988 -6.929 -6.871 28 -7.507 -7.480 -7.448 -7.415 -7.386 -7.349 -7.318 -7.284 -7.240 -7.199 -7.150 -7.104 -7.053 -7.002 -6.944 -6.885 29 -7.466 -7.439 -7.408 -7.375 -7.346 -7.310 -7.279 -7.244 -7.201 -7.160 -7.111 -7.065 -7.014 -6.964 -6.905 -6.847 30 -7.460 -7.433 -7.402 -7.369 -7.340 -7.303 -7.272 -7.238 -7.195 -7.154 -7.105 -7.059 -7.008 -6.957 -6.898 -6.840 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 1.267 1.149 1.020 0.878 0.724 0.559 0.374 0.159 -0.077 -0.317 -0.585 -0.876 -1.184 -2.727 -2.971 -3.182 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.323 -7.262 -7.195 -7.124 -7.046 -6.961 -6.868 -6.757 -6.635 -6.507 -6.362 -6.201 -6.029 -5.009 -4.841 -4.718 4 -7.292 -7.230 -7.164 -7.093 -7.016 -6.932 -6.842 -6.732 -6.610 -6.484 -6.340 -6.179 -6.007 -4.774 -4.514 -4.383 5 -7.290 -7.228 -7.161 -7.091 -7.014 -6.930 -6.840 -6.728 -6.607 -6.481 -6.337 -6.176 -6.005 -4.891 -4.665 -4.525 6 -7.335 -7.272 -7.205 -7.135 -7.058 -6.973 -6.885 -6.772 -6.649 -6.522 -6.378 -6.216 -6.045 -5.003 -4.831 -4.715 7 -7.288 -7.224 -7.157 -7.085 -7.007 -6.921 -6.831 -6.716 -6.592 -6.464 -6.319 -6.158 -5.988 -5.057 -4.925 -4.819 8 -7.247 -7.183 -7.114 -7.042 -6.962 -6.875 -6.784 -6.668 -6.543 -6.414 -6.269 -6.107 -5.937 -5.100 -4.983 -4.865 9 -7.158 -7.093 -7.023 -6.949 -6.868 -6.781 -6.687 -6.571 -6.445 -6.316 -6.171 -6.010 -5.840 -5.001 -4.854 -4.706 10 -7.169 -7.103 -7.032 -6.958 -6.876 -6.787 -6.693 -6.576 -6.449 -6.320 -6.175 -6.014 -5.844 -4.970 -4.818 -4.677 11 -7.108 -7.041 -6.970 -6.894 -6.811 -6.722 -6.627 -6.509 -6.383 -6.254 -6.109 -5.948 -5.777 -4.867 -4.699 -4.554 12 -7.109 -7.041 -6.969 -6.893 -6.809 -6.719 -6.624 -6.505 -6.378 -6.249 -6.104 -5.942 -5.771 -4.826 -4.646 -4.498 13 -7.064 -6.996 -6.923 -6.846 -6.761 -6.671 -6.575 -6.456 -6.328 -6.199 -6.054 -5.892 -5.721 -4.751 -4.563 -4.414 14 -7.069 -7.000 -6.927 -6.849 -6.764 -6.673 -6.576 -6.456 -6.329 -6.199 -6.053 -5.891 -5.719 -4.723 -4.519 -4.363 15 -7.024 -6.955 -6.881 -6.803 -6.717 -6.626 -6.529 -6.409 -6.281 -6.151 -6.005 -5.842 -5.670 -4.671 -4.479 -4.334 16 -7.027 -6.958 -6.883 -6.805 -6.719 -6.627 -6.529 -6.409 -6.280 -6.149 -6.003 -5.840 -5.667 -4.661 -4.480 -4.350 17 -6.978 -6.908 -6.834 -6.755 -6.668 -6.577 -6.478 -6.357 -6.228 -6.097 -5.950 -5.787 -5.613 -4.678 -4.534 -4.414 18 -6.916 -6.846 -6.772 -6.692 -6.606 -6.514 -6.415 -6.294 -6.165 -6.033 -5.886 -5.722 -5.549 -4.638 -4.503 -4.384 19 -6.953 -6.883 -6.808 -6.728 -6.641 -6.549 -6.449 -6.328 -6.198 -6.066 -5.917 -5.753 -5.578 -4.739 -4.625 -4.505 20 -6.956 -6.885 -6.810 -6.730 -6.643 -6.550 -6.450 -6.328 -6.197 -6.065 -5.916 -5.750 -5.575 -4.700 -4.569 -4.441 21 -6.894 -6.824 -6.749 -6.669 -6.581 -6.489 -6.388 -6.266 -6.135 -6.002 -5.853 -5.687 -5.511 -4.662 -4.522 -4.383 22 -6.869 -6.799 -6.723 -6.643 -6.555 -6.462 -6.361 -6.239 -6.107 -5.974 -5.824 -5.658 -5.482 -4.616 -4.485 -4.356 23 -6.844 -6.774 -6.699 -6.618 -6.530 -6.437 -6.335 -6.212 -6.080 -5.946 -5.796 -5.630 -5.453 -4.590 -4.449 -4.306 24 -6.846 -6.775 -6.700 -6.619 -6.530 -6.437 -6.335 -6.212 -6.079 -5.945 -5.794 -5.626 -5.449 -4.560 -4.409 -4.272 25 -6.824 -6.753 -6.678 -6.597 -6.508 -6.415 -6.312 -6.189 -6.055 -5.920 -5.769 -5.601 -5.424 -4.531 -4.388 -4.254 26 -6.827 -6.756 -6.680 -6.599 -6.510 -6.416 -6.313 -6.189 -6.055 -5.920 -5.768 -5.600 -5.421 -4.513 -4.358 -4.218 27 -6.805 -6.734 -6.658 -6.576 -6.488 -6.393 -6.290 -6.166 -6.032 -5.896 -5.743 -5.575 -5.396 -4.472 -4.318 -4.186 28 -6.819 -6.748 -6.672 -6.590 -6.501 -6.406 -6.303 -6.178 -6.043 -5.906 -5.753 -5.584 -5.405 -4.490 -4.344 -4.213 29 -6.780 -6.709 -6.633 -6.551 -6.462 -6.367 -6.264 -6.138 -6.003 -5.866 -5.713 -5.543 -5.364 -4.476 -4.329 -4.191 30 -6.773 -6.702 -6.626 -6.544 -6.454 -6.359 -6.255 -6.130 -5.994 -5.856 -5.703 -5.533 -5.354 -4.452 -4.300 -4.161 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 -3.404 -3.643 -3.905 -4.222 -4.726 -5.115 -5.280 -5.412 -5.483 -5.550 -5.608 -5.671 -------------------------------------------------------------------------------------------------- 3 -4.585 -4.433 -4.246 -3.971 -3.427 -3.145 -3.009 -2.928 -2.891 -2.856 -2.818 -2.771 4 -4.256 -4.127 -3.980 -3.759 -3.377 -3.148 -3.046 -2.953 -2.899 -2.850 -2.806 -2.759 5 -4.387 -4.241 -4.084 -3.904 -3.649 -3.419 -3.317 -3.230 -3.176 -3.127 -3.084 -3.038 6 -4.595 -4.463 -4.317 -4.146 -3.854 -3.556 -3.422 -3.333 -3.285 -3.240 -3.202 -3.159 7 -4.703 -4.568 -4.416 -4.215 -3.745 -3.381 -3.236 -3.141 -3.092 -3.045 -3.004 -2.959 8 -4.731 -4.580 -4.400 -4.143 -3.616 -3.221 -3.066 -2.968 -2.920 -2.874 -2.834 -2.789 9 -4.541 -4.361 -4.166 -3.926 -3.423 -3.047 -2.907 -2.816 -2.767 -2.720 -2.679 -2.634 10 -4.522 -4.348 -4.148 -3.880 -3.369 -2.985 -2.850 -2.755 -2.706 -2.659 -2.618 -2.573 11 -4.398 -4.224 -4.024 -3.759 -3.239 -2.870 -2.733 -2.641 -2.595 -2.550 -2.511 -2.469 12 -4.341 -4.165 -3.965 -3.698 -3.150 -2.800 -2.703 -2.606 -2.556 -2.509 -2.468 -2.422 13 -4.256 -4.081 -3.881 -3.608 -3.131 -2.837 -2.727 -2.637 -2.585 -2.537 -2.494 -2.449 14 -4.198 -4.015 -3.815 -3.577 -3.251 -3.020 -2.917 -2.830 -2.780 -2.733 -2.692 -2.648 15 -4.181 -4.014 -3.834 -3.637 -3.367 -3.116 -2.998 -2.908 -2.859 -2.814 -2.774 -2.730 16 -4.219 -4.081 -3.929 -3.748 -3.426 -3.110 -2.975 -2.881 -2.833 -2.788 -2.748 -2.704 17 -4.286 -4.147 -3.995 -3.806 -3.397 -2.989 -2.845 -2.752 -2.705 -2.659 -2.620 -2.577 18 -4.254 -4.110 -3.944 -3.722 -3.276 -2.941 -2.806 -2.713 -2.666 -2.620 -2.581 -2.537 19 -4.368 -4.213 -4.029 -3.753 -3.241 -2.866 -2.732 -2.646 -2.601 -2.558 -2.518 -2.475 20 -4.299 -4.140 -3.956 -3.712 -3.238 -2.886 -2.745 -2.650 -2.602 -2.557 -2.517 -2.473 21 -4.235 -4.076 -3.896 -3.648 -3.097 -2.795 -2.662 -2.573 -2.526 -2.481 -2.443 -2.401 22 -4.211 -4.047 -3.847 -3.559 -3.097 -2.799 -2.668 -2.574 -2.524 -2.477 -2.435 -2.390 23 -4.145 -3.968 -3.777 -3.542 -3.109 -2.802 -2.676 -2.584 -2.536 -2.490 -2.450 -2.407 24 -4.125 -3.964 -3.782 -3.539 -3.099 -2.802 -2.674 -2.581 -2.533 -2.487 -2.447 -2.403 25 -4.104 -3.934 -3.735 -3.486 -3.096 -2.768 -2.637 -2.543 -2.495 -2.448 -2.408 -2.364 26 -4.068 -3.902 -3.718 -3.486 -3.094 -2.790 -2.661 -2.567 -2.519 -2.472 -2.432 -2.388 27 -4.046 -3.892 -3.717 -3.489 -3.042 -2.696 -2.571 -2.479 -2.430 -2.384 -2.343 -2.299 28 -4.070 -3.912 -3.731 -3.501 -3.018 -2.661 -2.545 -2.455 -2.406 -2.359 -2.318 -2.274 29 -4.041 -3.875 -3.687 -3.443 -3.039 -2.714 -2.577 -2.480 -2.432 -2.385 -2.344 -2.299 30 -4.010 -3.844 -3.659 -3.426 -3.003 -2.679 -2.540 -2.443 -2.394 -2.347 -2.307 -2.262 ===================================================================================================================================== Diffusion time scales (D. Koester, Kiel 2020) log10(taudiff[yrs]) log10(qvz) EL Teff[K] log g = 8.000 log(qvz) including 0.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -4.671 -4.721 -4.768 -4.814 -4.853 -4.893 -4.922 -4.940 -4.956 -4.968 -4.979 -4.985 -4.991 -4.998 -5.002 -5.011 ---------------------------------------------------------------------------------------------------------------------------------- 3 7.181 7.128 7.075 7.022 6.975 6.925 6.886 6.854 6.825 6.800 6.777 6.756 6.738 6.719 6.703 6.685 4 7.139 7.085 7.032 6.979 6.933 6.882 6.844 6.813 6.786 6.761 6.740 6.720 6.704 6.685 6.671 6.654 5 7.129 7.074 7.021 6.968 6.921 6.871 6.833 6.802 6.776 6.752 6.732 6.712 6.698 6.680 6.667 6.652 6 7.191 7.133 7.077 7.023 6.974 6.921 6.882 6.851 6.824 6.799 6.779 6.760 6.747 6.729 6.716 6.701 7 7.120 7.064 7.009 6.956 6.909 6.857 6.819 6.790 6.764 6.741 6.722 6.703 6.692 6.675 6.663 6.650 8 7.059 7.004 6.951 6.899 6.853 6.802 6.766 6.737 6.713 6.690 6.673 6.655 6.644 6.628 6.617 6.605 9 6.931 6.879 6.829 6.780 6.736 6.689 6.654 6.628 6.605 6.585 6.569 6.553 6.543 6.529 6.519 6.508 10 6.945 6.892 6.841 6.791 6.748 6.699 6.665 6.639 6.616 6.596 6.580 6.564 6.555 6.541 6.531 6.521 11 6.859 6.808 6.759 6.711 6.669 6.623 6.590 6.565 6.544 6.524 6.510 6.495 6.486 6.473 6.464 6.454 12 6.858 6.807 6.757 6.710 6.667 6.621 6.589 6.564 6.543 6.524 6.509 6.495 6.487 6.474 6.465 6.456 13 6.794 6.745 6.696 6.650 6.609 6.564 6.533 6.509 6.489 6.471 6.457 6.443 6.436 6.423 6.416 6.406 14 6.799 6.749 6.701 6.654 6.613 6.568 6.536 6.513 6.493 6.475 6.461 6.448 6.441 6.428 6.421 6.412 15 6.737 6.688 6.641 6.596 6.556 6.512 6.482 6.459 6.440 6.423 6.410 6.397 6.390 6.379 6.372 6.363 16 6.740 6.691 6.643 6.598 6.558 6.514 6.483 6.461 6.442 6.425 6.413 6.400 6.393 6.382 6.375 6.367 17 6.672 6.625 6.579 6.534 6.496 6.453 6.424 6.402 6.384 6.368 6.356 6.344 6.338 6.327 6.321 6.313 18 6.591 6.545 6.500 6.458 6.420 6.379 6.351 6.330 6.313 6.298 6.287 6.275 6.270 6.260 6.254 6.246 19 6.636 6.589 6.543 6.500 6.462 6.420 6.391 6.370 6.353 6.337 6.326 6.315 6.309 6.299 6.293 6.286 20 6.638 6.590 6.545 6.501 6.463 6.421 6.392 6.371 6.355 6.339 6.328 6.317 6.312 6.302 6.296 6.289 21 6.557 6.511 6.467 6.425 6.388 6.348 6.320 6.300 6.284 6.270 6.259 6.249 6.244 6.234 6.229 6.223 22 6.523 6.478 6.434 6.393 6.356 6.316 6.289 6.270 6.254 6.240 6.230 6.220 6.215 6.206 6.201 6.195 23 6.490 6.445 6.403 6.362 6.326 6.286 6.260 6.241 6.225 6.212 6.202 6.192 6.188 6.179 6.175 6.168 24 6.490 6.445 6.402 6.361 6.325 6.286 6.260 6.241 6.225 6.212 6.202 6.193 6.188 6.180 6.175 6.169 25 6.461 6.417 6.374 6.334 6.298 6.259 6.234 6.215 6.200 6.187 6.177 6.168 6.164 6.156 6.152 6.146 26 6.462 6.418 6.375 6.335 6.299 6.260 6.235 6.216 6.201 6.188 6.179 6.170 6.166 6.158 6.154 6.148 27 6.434 6.390 6.348 6.307 6.273 6.234 6.209 6.190 6.176 6.163 6.154 6.145 6.142 6.134 6.130 6.124 28 6.449 6.405 6.362 6.322 6.287 6.248 6.222 6.204 6.190 6.177 6.168 6.159 6.156 6.148 6.144 6.139 29 6.400 6.357 6.315 6.275 6.241 6.203 6.178 6.161 6.146 6.134 6.126 6.117 6.114 6.106 6.103 6.097 30 6.390 6.346 6.305 6.266 6.231 6.193 6.169 6.151 6.137 6.125 6.117 6.108 6.106 6.098 6.095 6.089 EL Teff[K] log g = 8.000 log(qvz) including 0.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -5.018 -5.027 -5.030 -5.035 -5.042 -5.051 -5.058 -5.072 -5.088 -5.105 -5.130 -5.156 -5.186 -5.222 -5.257 -5.294 ---------------------------------------------------------------------------------------------------------------------------------- 3 6.668 6.650 6.642 6.629 6.616 6.605 6.594 6.578 6.559 6.542 6.521 6.500 6.477 6.451 6.427 6.396 4 6.637 6.619 6.612 6.598 6.584 6.575 6.563 6.546 6.524 6.507 6.485 6.463 6.440 6.415 6.393 6.360 5 6.635 6.618 6.613 6.599 6.586 6.578 6.566 6.549 6.525 6.507 6.486 6.463 6.440 6.415 6.393 6.359 6 6.685 6.667 6.665 6.652 6.639 6.634 6.621 6.604 6.578 6.560 6.538 6.515 6.492 6.468 6.448 6.411 7 6.634 6.618 6.617 6.605 6.593 6.589 6.577 6.561 6.536 6.519 6.497 6.474 6.451 6.428 6.407 6.370 8 6.591 6.575 6.575 6.564 6.553 6.550 6.539 6.524 6.499 6.482 6.461 6.439 6.416 6.393 6.373 6.336 9 6.494 6.480 6.480 6.470 6.460 6.457 6.447 6.433 6.410 6.394 6.374 6.352 6.330 6.306 6.285 6.250 10 6.507 6.493 6.495 6.484 6.475 6.473 6.463 6.449 6.426 6.410 6.390 6.369 6.347 6.324 6.304 6.268 11 6.442 6.429 6.430 6.421 6.412 6.409 6.401 6.387 6.366 6.350 6.330 6.310 6.288 6.264 6.244 6.209 12 6.444 6.431 6.433 6.423 6.415 6.413 6.405 6.392 6.370 6.355 6.335 6.314 6.292 6.270 6.250 6.214 13 6.395 6.383 6.385 6.376 6.368 6.366 6.358 6.346 6.324 6.310 6.290 6.270 6.248 6.225 6.205 6.170 14 6.401 6.388 6.391 6.383 6.375 6.374 6.366 6.353 6.332 6.317 6.298 6.278 6.256 6.234 6.214 6.179 15 6.353 6.341 6.344 6.336 6.328 6.327 6.319 6.307 6.286 6.272 6.253 6.233 6.212 6.189 6.169 6.134 16 6.356 6.345 6.348 6.340 6.333 6.332 6.325 6.313 6.292 6.277 6.259 6.238 6.217 6.195 6.175 6.140 17 6.303 6.292 6.295 6.288 6.281 6.280 6.273 6.261 6.241 6.227 6.208 6.188 6.167 6.144 6.124 6.090 18 6.237 6.226 6.229 6.222 6.215 6.214 6.207 6.196 6.177 6.163 6.145 6.125 6.104 6.081 6.060 6.027 19 6.277 6.266 6.269 6.262 6.256 6.255 6.248 6.237 6.217 6.203 6.185 6.165 6.144 6.122 6.101 6.067 20 6.280 6.269 6.273 6.266 6.259 6.259 6.253 6.241 6.221 6.208 6.189 6.170 6.149 6.126 6.106 6.072 21 6.214 6.203 6.207 6.201 6.194 6.194 6.187 6.176 6.157 6.144 6.126 6.106 6.085 6.062 6.042 6.009 22 6.186 6.176 6.180 6.174 6.168 6.167 6.161 6.150 6.131 6.118 6.100 6.081 6.060 6.037 6.016 5.983 23 6.160 6.150 6.154 6.148 6.142 6.141 6.135 6.124 6.106 6.093 6.075 6.056 6.035 6.012 5.991 5.958 24 6.161 6.151 6.155 6.149 6.144 6.143 6.137 6.127 6.108 6.095 6.077 6.058 6.037 6.014 5.994 5.961 25 6.138 6.128 6.132 6.127 6.121 6.120 6.115 6.104 6.086 6.073 6.055 6.036 6.015 5.992 5.972 5.939 26 6.140 6.131 6.135 6.129 6.124 6.124 6.118 6.108 6.089 6.077 6.059 6.039 6.019 5.996 5.975 5.943 27 6.117 6.107 6.112 6.106 6.101 6.101 6.095 6.085 6.067 6.054 6.037 6.017 5.997 5.974 5.953 5.920 28 6.131 6.122 6.127 6.121 6.116 6.116 6.111 6.100 6.082 6.069 6.052 6.033 6.012 5.989 5.969 5.936 29 6.090 6.081 6.086 6.081 6.075 6.075 6.070 6.060 6.042 6.030 6.012 5.993 5.973 5.949 5.929 5.896 30 6.082 6.073 6.078 6.073 6.068 6.068 6.063 6.053 6.035 6.023 6.005 5.986 5.966 5.943 5.922 5.890 EL Teff[K] log g = 8.000 log(qvz) including 0.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -5.334 -5.376 -5.418 -5.462 -5.510 -5.561 -5.611 -5.661 -5.719 -5.782 -5.848 -5.922 -6.001 -6.085 -6.171 -6.265 ---------------------------------------------------------------------------------------------------------------------------------- 3 6.367 6.333 6.304 6.272 6.236 6.201 6.167 6.133 6.091 6.049 6.006 5.953 5.900 5.843 5.788 5.728 4 6.331 6.296 6.266 6.235 6.197 6.163 6.130 6.096 6.052 6.011 5.969 5.914 5.861 5.802 5.748 5.689 5 6.330 6.293 6.263 6.232 6.192 6.159 6.125 6.092 6.046 6.005 5.963 5.908 5.853 5.794 5.740 5.681 6 6.382 6.343 6.312 6.281 6.239 6.206 6.172 6.139 6.091 6.050 6.008 5.950 5.894 5.833 5.780 5.720 7 6.341 6.302 6.272 6.241 6.198 6.165 6.131 6.097 6.049 6.008 5.965 5.907 5.851 5.789 5.735 5.675 8 6.307 6.268 6.238 6.206 6.164 6.130 6.096 6.062 6.014 5.972 5.929 5.871 5.814 5.752 5.697 5.636 9 6.221 6.183 6.153 6.122 6.080 6.046 6.012 5.978 5.930 5.888 5.845 5.787 5.730 5.669 5.613 5.551 10 6.239 6.201 6.170 6.139 6.097 6.063 6.029 5.994 5.946 5.904 5.860 5.801 5.744 5.681 5.625 5.563 11 6.180 6.143 6.113 6.081 6.040 6.006 5.971 5.937 5.889 5.847 5.802 5.744 5.687 5.625 5.568 5.505 12 6.186 6.148 6.118 6.086 6.044 6.010 5.976 5.941 5.893 5.851 5.806 5.748 5.690 5.627 5.570 5.507 13 6.142 6.104 6.074 6.043 6.002 5.967 5.933 5.898 5.851 5.808 5.763 5.705 5.647 5.584 5.527 5.464 14 6.150 6.113 6.082 6.051 6.009 5.975 5.941 5.906 5.858 5.815 5.770 5.711 5.653 5.590 5.532 5.469 15 6.106 6.069 6.039 6.007 5.966 5.932 5.897 5.862 5.815 5.772 5.727 5.668 5.610 5.547 5.489 5.426 16 6.112 6.074 6.044 6.013 5.972 5.937 5.902 5.868 5.820 5.777 5.732 5.673 5.615 5.551 5.493 5.429 17 6.062 6.025 5.995 5.964 5.923 5.888 5.854 5.819 5.771 5.728 5.683 5.625 5.567 5.503 5.445 5.381 18 5.999 5.963 5.933 5.901 5.861 5.827 5.792 5.757 5.710 5.667 5.621 5.564 5.506 5.443 5.385 5.320 19 6.039 6.003 5.973 5.941 5.900 5.866 5.831 5.796 5.749 5.705 5.660 5.601 5.543 5.480 5.421 5.357 20 6.044 6.007 5.977 5.946 5.905 5.870 5.835 5.800 5.753 5.709 5.664 5.605 5.547 5.483 5.425 5.360 21 5.980 5.944 5.914 5.883 5.843 5.808 5.773 5.738 5.691 5.648 5.602 5.544 5.486 5.423 5.364 5.300 22 5.955 5.919 5.889 5.858 5.818 5.783 5.748 5.713 5.666 5.623 5.577 5.519 5.461 5.398 5.339 5.275 23 5.930 5.894 5.865 5.833 5.793 5.758 5.723 5.688 5.642 5.598 5.552 5.495 5.437 5.374 5.315 5.250 24 5.933 5.897 5.867 5.836 5.796 5.761 5.726 5.691 5.644 5.600 5.555 5.497 5.439 5.376 5.317 5.252 25 5.911 5.875 5.845 5.814 5.774 5.739 5.704 5.669 5.623 5.579 5.533 5.475 5.417 5.354 5.295 5.230 26 5.914 5.879 5.849 5.817 5.778 5.743 5.707 5.672 5.626 5.582 5.536 5.478 5.420 5.357 5.298 5.233 27 5.892 5.857 5.827 5.796 5.756 5.721 5.686 5.651 5.604 5.560 5.514 5.457 5.399 5.336 5.277 5.211 28 5.908 5.872 5.842 5.811 5.771 5.736 5.701 5.666 5.619 5.575 5.529 5.471 5.413 5.350 5.291 5.225 29 5.868 5.833 5.803 5.772 5.732 5.697 5.662 5.627 5.580 5.536 5.490 5.433 5.375 5.312 5.253 5.187 30 5.862 5.826 5.796 5.765 5.725 5.690 5.655 5.620 5.574 5.530 5.484 5.426 5.368 5.305 5.246 5.180 EL Teff[K] log g = 8.000 log(qvz) including 0.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 qcvz -6.363 -6.464 -6.574 -6.686 -6.815 -6.956 -7.108 -7.267 -7.436 -7.618 -7.820 -8.058 -8.315 -9.482 -11.088 -11.464 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.664 5.599 5.529 5.458 5.379 5.292 5.199 5.104 5.003 4.894 4.774 4.627 4.465 3.734 2.612 2.309 4 5.624 5.560 5.489 5.418 5.339 5.251 5.158 5.063 4.962 4.853 4.733 4.587 4.424 3.699 2.503 2.110 5 5.615 5.550 5.479 5.408 5.328 5.240 5.146 5.051 4.950 4.841 4.721 4.573 4.408 3.684 2.549 2.212 6 5.653 5.588 5.515 5.443 5.363 5.274 5.179 5.084 4.983 4.873 4.754 4.604 4.438 3.712 2.607 2.320 7 5.607 5.540 5.467 5.394 5.313 5.223 5.127 5.031 4.928 4.818 4.697 4.545 4.379 3.651 2.598 2.357 8 5.568 5.501 5.427 5.353 5.270 5.179 5.082 4.985 4.881 4.769 4.647 4.494 4.328 3.600 2.591 2.378 9 5.483 5.415 5.341 5.266 5.183 5.091 4.993 4.894 4.789 4.676 4.553 4.399 4.233 3.506 2.490 2.248 10 5.494 5.425 5.350 5.275 5.190 5.097 4.999 4.899 4.793 4.679 4.555 4.401 4.234 3.506 2.483 2.240 11 5.436 5.367 5.291 5.216 5.131 5.037 4.938 4.837 4.731 4.616 4.491 4.336 4.170 3.441 2.403 2.143 12 5.437 5.367 5.291 5.215 5.129 5.035 4.935 4.834 4.726 4.612 4.486 4.330 4.164 3.434 2.380 2.107 13 5.393 5.324 5.247 5.171 5.085 4.990 4.890 4.788 4.680 4.565 4.438 4.282 4.116 3.384 2.319 2.037 14 5.398 5.328 5.251 5.174 5.088 4.993 4.891 4.789 4.681 4.565 4.438 4.282 4.115 3.381 2.303 2.004 15 5.355 5.285 5.208 5.131 5.044 4.949 4.847 4.745 4.636 4.520 4.393 4.236 4.068 3.333 2.253 1.966 16 5.358 5.288 5.210 5.133 5.046 4.950 4.848 4.746 4.637 4.520 4.392 4.235 4.067 3.328 2.242 1.961 17 5.310 5.240 5.163 5.085 4.998 4.902 4.801 4.697 4.588 4.471 4.343 4.185 4.017 3.277 2.221 1.983 18 5.250 5.180 5.103 5.025 4.938 4.843 4.741 4.637 4.528 4.410 4.282 4.124 3.956 3.213 2.163 1.932 19 5.286 5.215 5.138 5.060 4.973 4.877 4.774 4.670 4.561 4.443 4.314 4.155 3.986 3.241 2.224 2.023 20 5.289 5.218 5.140 5.062 4.975 4.878 4.776 4.672 4.562 4.444 4.314 4.155 3.985 3.237 2.201 1.978 21 5.229 5.158 5.081 5.003 4.915 4.819 4.717 4.612 4.502 4.384 4.254 4.094 3.925 3.175 2.152 1.927 22 5.204 5.133 5.056 4.978 4.890 4.794 4.691 4.587 4.476 4.358 4.227 4.068 3.898 3.146 2.117 1.898 23 5.180 5.109 5.031 4.954 4.866 4.769 4.667 4.562 4.452 4.333 4.202 4.042 3.871 3.118 2.089 1.860 24 5.181 5.110 5.032 4.954 4.866 4.770 4.667 4.562 4.451 4.332 4.201 4.040 3.870 3.114 2.073 1.836 25 5.160 5.089 5.011 4.933 4.845 4.748 4.645 4.540 4.429 4.310 4.179 4.017 3.846 3.089 2.046 1.814 26 5.162 5.091 5.013 4.935 4.847 4.750 4.647 4.541 4.430 4.311 4.179 4.017 3.846 3.087 2.036 1.792 27 5.141 5.069 4.992 4.914 4.825 4.728 4.625 4.519 4.408 4.288 4.156 3.994 3.823 3.062 2.003 1.759 28 5.154 5.083 5.005 4.927 4.838 4.741 4.637 4.532 4.420 4.300 4.167 4.005 3.833 3.070 2.016 1.779 29 5.116 5.045 4.967 4.889 4.800 4.703 4.600 4.494 4.382 4.262 4.129 3.966 3.794 3.031 1.989 1.754 30 5.109 5.038 4.960 4.882 4.793 4.696 4.592 4.486 4.374 4.253 4.120 3.957 3.785 3.020 1.972 1.732 EL Teff[K] log g = 8.000 log(qvz) including 0.00 Hp overshoot Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 qcvz -11.646 -11.828 -12.023 -12.231 -12.467 -12.767 -13.186 -14.194 -14.443 -14.637 -14.715 -14.780 -------------------------------------------------------------------------------------------------- 3 2.166 2.024 1.894 1.755 1.589 1.354 0.973 0.054 -0.153 -0.309 -0.353 -0.388 4 1.921 1.733 1.594 1.468 1.320 1.136 0.820 0.073 -0.103 -0.239 -0.298 -0.348 5 2.051 1.887 1.751 1.615 1.460 1.265 0.994 0.341 0.162 0.036 -0.023 -0.073 6 2.190 2.060 1.940 1.817 1.672 1.488 1.224 0.471 0.266 0.118 0.064 0.019 7 2.251 2.146 2.035 1.912 1.762 1.568 1.262 0.306 0.088 -0.071 -0.126 -0.172 8 2.282 2.182 2.059 1.921 1.756 1.534 1.178 0.148 -0.078 -0.243 -0.299 -0.344 9 2.132 2.007 1.866 1.714 1.538 1.313 0.975 -0.029 -0.244 -0.395 -0.449 -0.495 10 2.122 1.997 1.858 1.707 1.527 1.289 0.924 -0.089 -0.301 -0.453 -0.509 -0.555 11 2.016 1.882 1.740 1.587 1.407 1.170 0.806 -0.218 -0.416 -0.572 -0.625 -0.669 12 1.972 1.830 1.686 1.532 1.351 1.111 0.739 -0.287 -0.475 -0.600 -0.657 -0.704 13 1.897 1.750 1.604 1.450 1.268 1.028 0.651 -0.240 -0.423 -0.560 -0.617 -0.666 14 1.853 1.694 1.541 1.382 1.199 0.966 0.641 -0.065 -0.241 -0.373 -0.428 -0.475 15 1.825 1.678 1.535 1.386 1.215 1.002 0.719 0.031 -0.157 -0.300 -0.355 -0.401 16 1.829 1.696 1.570 1.439 1.290 1.098 0.823 0.030 -0.174 -0.328 -0.384 -0.429 17 1.874 1.762 1.640 1.508 1.357 1.162 0.873 -0.088 -0.304 -0.460 -0.514 -0.559 18 1.825 1.716 1.594 1.461 1.304 1.095 0.774 -0.138 -0.343 -0.499 -0.553 -0.598 19 1.929 1.832 1.708 1.567 1.399 1.167 0.787 -0.221 -0.423 -0.572 -0.622 -0.665 20 1.873 1.764 1.636 1.493 1.326 1.102 0.761 -0.196 -0.401 -0.562 -0.617 -0.661 21 1.819 1.708 1.578 1.435 1.268 1.046 0.674 -0.285 -0.488 -0.639 -0.692 -0.736 22 1.793 1.684 1.553 1.406 1.228 0.980 0.597 -0.275 -0.478 -0.630 -0.686 -0.733 23 1.747 1.627 1.487 1.333 1.156 0.931 0.603 -0.280 -0.475 -0.625 -0.680 -0.725 24 1.723 1.605 1.472 1.328 1.160 0.937 0.587 -0.279 -0.475 -0.627 -0.682 -0.727 25 1.702 1.584 1.448 1.297 1.117 0.879 0.548 -0.311 -0.511 -0.663 -0.719 -0.765 26 1.673 1.549 1.413 1.264 1.094 0.872 0.546 -0.290 -0.487 -0.641 -0.696 -0.742 27 1.643 1.523 1.394 1.253 1.089 0.873 0.548 -0.383 -0.578 -0.726 -0.781 -0.827 28 1.665 1.548 1.417 1.274 1.106 0.887 0.561 -0.420 -0.607 -0.748 -0.803 -0.850 29 1.640 1.521 1.386 1.238 1.065 0.838 0.501 -0.361 -0.567 -0.726 -0.782 -0.828 30 1.615 1.493 1.357 1.209 1.037 0.814 0.486 -0.397 -0.604 -0.765 -0.821 -0.867 =================================================================================================================================== 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 2.982 2.950 2.919 2.888 2.861 2.832 2.810 2.793 2.777 2.763 2.749 2.738 2.726 2.714 2.704 2.689 ---------------------------------------------------------------------------------------------------------------------------------- 3 -8.255 -8.219 -8.182 -8.145 -8.109 -8.071 -8.037 -8.007 -7.979 -7.951 -7.926 -7.900 -7.877 -7.852 -7.829 -7.806 4 -8.212 -8.176 -8.139 -8.102 -8.067 -8.028 -7.996 -7.966 -7.939 -7.913 -7.888 -7.864 -7.842 -7.818 -7.797 -7.774 5 -8.202 -8.165 -8.128 -8.091 -8.056 -8.017 -7.984 -7.956 -7.929 -7.903 -7.880 -7.856 -7.836 -7.813 -7.793 -7.772 6 -8.264 -8.224 -8.184 -8.145 -8.108 -8.067 -8.034 -8.004 -7.977 -7.951 -7.928 -7.903 -7.885 -7.861 -7.841 -7.822 7 -8.193 -8.155 -8.116 -8.078 -8.043 -8.003 -7.971 -7.943 -7.918 -7.892 -7.871 -7.847 -7.830 -7.807 -7.789 -7.770 8 -8.133 -8.095 -8.058 -8.021 -7.987 -7.948 -7.918 -7.890 -7.866 -7.842 -7.821 -7.799 -7.783 -7.761 -7.743 -7.726 9 -8.004 -7.970 -7.936 -7.902 -7.870 -7.834 -7.806 -7.781 -7.759 -7.736 -7.717 -7.697 -7.681 -7.661 -7.645 -7.628 10 -8.018 -7.983 -7.948 -7.914 -7.882 -7.845 -7.817 -7.792 -7.770 -7.747 -7.729 -7.708 -7.693 -7.673 -7.657 -7.641 11 -7.932 -7.899 -7.866 -7.833 -7.803 -7.768 -7.742 -7.718 -7.697 -7.676 -7.658 -7.638 -7.625 -7.606 -7.590 -7.574 12 -7.931 -7.898 -7.864 -7.832 -7.802 -7.767 -7.740 -7.717 -7.696 -7.675 -7.658 -7.638 -7.625 -7.606 -7.591 -7.576 13 -7.868 -7.836 -7.804 -7.772 -7.743 -7.710 -7.684 -7.662 -7.642 -7.622 -7.606 -7.587 -7.574 -7.556 -7.542 -7.527 14 -7.873 -7.840 -7.808 -7.776 -7.747 -7.713 -7.688 -7.666 -7.646 -7.626 -7.610 -7.591 -7.579 -7.561 -7.547 -7.532 15 -7.811 -7.779 -7.748 -7.718 -7.690 -7.658 -7.633 -7.612 -7.593 -7.574 -7.559 -7.541 -7.529 -7.511 -7.498 -7.484 16 -7.813 -7.782 -7.750 -7.720 -7.692 -7.659 -7.635 -7.614 -7.596 -7.576 -7.561 -7.543 -7.532 -7.515 -7.501 -7.487 17 -7.746 -7.716 -7.686 -7.657 -7.630 -7.599 -7.576 -7.555 -7.538 -7.519 -7.505 -7.488 -7.477 -7.460 -7.447 -7.434 18 -7.664 -7.636 -7.608 -7.580 -7.554 -7.525 -7.503 -7.483 -7.467 -7.449 -7.435 -7.419 -7.408 -7.392 -7.380 -7.367 19 -7.709 -7.680 -7.650 -7.622 -7.596 -7.565 -7.543 -7.523 -7.506 -7.489 -7.475 -7.458 -7.448 -7.432 -7.419 -7.406 20 -7.711 -7.681 -7.652 -7.624 -7.597 -7.567 -7.544 -7.525 -7.508 -7.491 -7.477 -7.460 -7.450 -7.434 -7.422 -7.409 21 -7.630 -7.602 -7.574 -7.547 -7.522 -7.493 -7.472 -7.454 -7.438 -7.421 -7.408 -7.392 -7.382 -7.367 -7.355 -7.343 22 -7.596 -7.569 -7.541 -7.515 -7.491 -7.462 -7.441 -7.423 -7.408 -7.392 -7.379 -7.364 -7.354 -7.339 -7.327 -7.315 23 -7.563 -7.536 -7.510 -7.484 -7.460 -7.432 -7.412 -7.394 -7.379 -7.363 -7.350 -7.336 -7.326 -7.312 -7.300 -7.288 24 -7.563 -7.536 -7.509 -7.483 -7.460 -7.432 -7.411 -7.394 -7.379 -7.363 -7.351 -7.336 -7.327 -7.312 -7.301 -7.289 25 -7.534 -7.508 -7.482 -7.456 -7.433 -7.405 -7.385 -7.368 -7.354 -7.338 -7.326 -7.312 -7.303 -7.288 -7.278 -7.266 26 -7.536 -7.509 -7.483 -7.457 -7.434 -7.406 -7.386 -7.369 -7.355 -7.340 -7.328 -7.313 -7.304 -7.290 -7.280 -7.268 27 -7.507 -7.481 -7.455 -7.430 -7.407 -7.380 -7.360 -7.344 -7.329 -7.315 -7.303 -7.289 -7.280 -7.266 -7.256 -7.244 28 -7.522 -7.496 -7.469 -7.444 -7.421 -7.394 -7.374 -7.358 -7.343 -7.328 -7.317 -7.303 -7.294 -7.281 -7.270 -7.259 29 -7.473 -7.448 -7.422 -7.398 -7.375 -7.349 -7.330 -7.314 -7.300 -7.286 -7.274 -7.261 -7.252 -7.239 -7.229 -7.217 30 -7.463 -7.437 -7.412 -7.388 -7.366 -7.339 -7.321 -7.305 -7.291 -7.277 -7.265 -7.252 -7.244 -7.231 -7.221 -7.210 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 2.676 2.661 2.650 2.637 2.623 2.608 2.593 2.575 2.556 2.535 2.510 2.484 2.457 2.425 2.395 2.363 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.782 -7.759 -7.741 -7.720 -7.701 -7.684 -7.665 -7.645 -7.622 -7.602 -7.581 -7.560 -7.539 -7.518 -7.498 -7.472 4 -7.751 -7.728 -7.712 -7.690 -7.669 -7.654 -7.634 -7.613 -7.587 -7.567 -7.545 -7.524 -7.503 -7.482 -7.464 -7.436 5 -7.749 -7.726 -7.712 -7.691 -7.671 -7.657 -7.637 -7.616 -7.588 -7.568 -7.545 -7.524 -7.502 -7.482 -7.465 -7.435 6 -7.799 -7.776 -7.765 -7.743 -7.724 -7.713 -7.692 -7.671 -7.641 -7.620 -7.598 -7.576 -7.555 -7.536 -7.519 -7.487 7 -7.748 -7.727 -7.717 -7.696 -7.678 -7.668 -7.648 -7.628 -7.599 -7.579 -7.557 -7.535 -7.514 -7.495 -7.479 -7.447 8 -7.705 -7.684 -7.675 -7.656 -7.638 -7.629 -7.610 -7.591 -7.562 -7.542 -7.521 -7.500 -7.479 -7.460 -7.444 -7.412 9 -7.608 -7.589 -7.580 -7.562 -7.545 -7.536 -7.518 -7.499 -7.473 -7.454 -7.434 -7.413 -7.392 -7.373 -7.357 -7.326 10 -7.621 -7.602 -7.594 -7.576 -7.560 -7.552 -7.535 -7.516 -7.489 -7.471 -7.450 -7.430 -7.409 -7.391 -7.375 -7.344 11 -7.556 -7.537 -7.530 -7.512 -7.497 -7.489 -7.472 -7.454 -7.429 -7.410 -7.390 -7.370 -7.350 -7.332 -7.315 -7.285 12 -7.557 -7.539 -7.532 -7.515 -7.500 -7.492 -7.476 -7.458 -7.433 -7.415 -7.395 -7.375 -7.355 -7.337 -7.321 -7.291 13 -7.509 -7.491 -7.484 -7.468 -7.453 -7.445 -7.430 -7.412 -7.387 -7.370 -7.350 -7.330 -7.311 -7.293 -7.276 -7.247 14 -7.515 -7.497 -7.491 -7.474 -7.460 -7.453 -7.437 -7.420 -7.395 -7.377 -7.358 -7.338 -7.319 -7.301 -7.285 -7.255 15 -7.466 -7.449 -7.443 -7.427 -7.413 -7.406 -7.391 -7.374 -7.349 -7.332 -7.313 -7.294 -7.274 -7.256 -7.240 -7.211 16 -7.470 -7.453 -7.448 -7.432 -7.418 -7.411 -7.396 -7.379 -7.355 -7.338 -7.319 -7.299 -7.280 -7.262 -7.246 -7.216 17 -7.417 -7.401 -7.395 -7.379 -7.366 -7.359 -7.344 -7.328 -7.304 -7.287 -7.268 -7.249 -7.230 -7.212 -7.196 -7.166 18 -7.351 -7.335 -7.329 -7.314 -7.300 -7.293 -7.279 -7.263 -7.240 -7.223 -7.205 -7.186 -7.167 -7.148 -7.131 -7.103 19 -7.390 -7.374 -7.369 -7.354 -7.341 -7.334 -7.320 -7.304 -7.280 -7.264 -7.245 -7.226 -7.207 -7.189 -7.173 -7.144 20 -7.393 -7.377 -7.373 -7.358 -7.344 -7.338 -7.324 -7.308 -7.284 -7.268 -7.249 -7.230 -7.211 -7.194 -7.178 -7.148 21 -7.327 -7.312 -7.307 -7.292 -7.279 -7.273 -7.259 -7.243 -7.220 -7.204 -7.186 -7.167 -7.148 -7.130 -7.113 -7.085 22 -7.300 -7.285 -7.279 -7.265 -7.253 -7.246 -7.232 -7.217 -7.194 -7.178 -7.160 -7.141 -7.122 -7.104 -7.088 -7.059 23 -7.273 -7.259 -7.253 -7.239 -7.227 -7.220 -7.206 -7.191 -7.169 -7.153 -7.135 -7.116 -7.098 -7.079 -7.062 -7.035 24 -7.275 -7.260 -7.255 -7.241 -7.228 -7.222 -7.209 -7.193 -7.171 -7.155 -7.137 -7.119 -7.100 -7.082 -7.065 -7.037 25 -7.251 -7.237 -7.232 -7.218 -7.206 -7.200 -7.186 -7.171 -7.149 -7.133 -7.115 -7.097 -7.078 -7.060 -7.043 -7.015 26 -7.254 -7.239 -7.235 -7.221 -7.209 -7.203 -7.189 -7.174 -7.152 -7.137 -7.119 -7.100 -7.082 -7.063 -7.047 -7.019 27 -7.230 -7.216 -7.211 -7.198 -7.186 -7.180 -7.167 -7.152 -7.130 -7.114 -7.096 -7.078 -7.059 -7.041 -7.025 -6.997 28 -7.245 -7.231 -7.226 -7.213 -7.201 -7.195 -7.182 -7.167 -7.145 -7.130 -7.112 -7.093 -7.075 -7.057 -7.040 -7.012 29 -7.204 -7.190 -7.185 -7.172 -7.160 -7.154 -7.141 -7.127 -7.105 -7.090 -7.072 -7.054 -7.035 -7.017 -7.000 -6.973 30 -7.196 -7.182 -7.178 -7.165 -7.153 -7.147 -7.134 -7.120 -7.098 -7.083 -7.065 -7.047 -7.028 -7.010 -6.994 -6.966 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 2.328 2.292 2.257 2.220 2.181 2.139 2.098 2.058 2.011 1.961 1.909 1.850 1.788 1.722 1.652 1.579 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.449 -7.422 -7.398 -7.375 -7.347 -7.322 -7.297 -7.273 -7.242 -7.213 -7.183 -7.147 -7.110 -7.070 -7.032 -6.993 4 -7.413 -7.384 -7.361 -7.338 -7.308 -7.284 -7.260 -7.236 -7.203 -7.174 -7.146 -7.108 -7.070 -7.030 -6.993 -6.954 5 -7.412 -7.382 -7.358 -7.335 -7.304 -7.280 -7.256 -7.232 -7.197 -7.169 -7.140 -7.101 -7.063 -7.022 -6.984 -6.945 6 -7.463 -7.431 -7.407 -7.384 -7.350 -7.327 -7.303 -7.278 -7.242 -7.213 -7.185 -7.144 -7.104 -7.061 -7.024 -6.985 7 -7.423 -7.391 -7.367 -7.343 -7.309 -7.286 -7.261 -7.237 -7.200 -7.171 -7.142 -7.100 -7.060 -7.017 -6.979 -6.939 8 -7.389 -7.357 -7.333 -7.309 -7.275 -7.251 -7.227 -7.202 -7.165 -7.136 -7.106 -7.064 -7.024 -6.980 -6.941 -6.901 9 -7.303 -7.272 -7.248 -7.224 -7.192 -7.167 -7.142 -7.117 -7.081 -7.052 -7.022 -6.980 -6.940 -6.897 -6.857 -6.816 10 -7.321 -7.289 -7.265 -7.242 -7.208 -7.184 -7.159 -7.134 -7.097 -7.067 -7.037 -6.995 -6.954 -6.909 -6.870 -6.828 11 -7.262 -7.231 -7.207 -7.184 -7.151 -7.126 -7.101 -7.076 -7.040 -7.010 -6.980 -6.938 -6.897 -6.852 -6.812 -6.770 12 -7.267 -7.236 -7.212 -7.189 -7.156 -7.131 -7.106 -7.081 -7.044 -7.014 -6.983 -6.941 -6.899 -6.855 -6.814 -6.771 13 -7.223 -7.193 -7.169 -7.146 -7.113 -7.088 -7.063 -7.038 -7.002 -6.971 -6.940 -6.898 -6.857 -6.812 -6.771 -6.728 14 -7.232 -7.201 -7.177 -7.154 -7.121 -7.096 -7.071 -7.046 -7.009 -6.978 -6.947 -6.905 -6.863 -6.818 -6.777 -6.733 15 -7.188 -7.157 -7.134 -7.110 -7.078 -7.053 -7.027 -7.002 -6.966 -6.935 -6.904 -6.862 -6.820 -6.775 -6.734 -6.690 16 -7.194 -7.163 -7.139 -7.116 -7.083 -7.058 -7.033 -7.007 -6.971 -6.940 -6.909 -6.866 -6.824 -6.779 -6.737 -6.694 17 -7.144 -7.114 -7.090 -7.066 -7.034 -7.009 -6.984 -6.958 -6.922 -6.891 -6.860 -6.818 -6.776 -6.731 -6.690 -6.645 18 -7.080 -7.051 -7.028 -7.004 -6.973 -6.947 -6.922 -6.896 -6.861 -6.830 -6.798 -6.757 -6.715 -6.671 -6.629 -6.585 19 -7.121 -7.091 -7.067 -7.044 -7.012 -6.987 -6.961 -6.936 -6.900 -6.869 -6.837 -6.795 -6.753 -6.708 -6.666 -6.621 20 -7.126 -7.095 -7.072 -7.048 -7.016 -6.991 -6.965 -6.940 -6.904 -6.872 -6.841 -6.798 -6.756 -6.711 -6.669 -6.624 21 -7.062 -7.033 -7.009 -6.986 -6.954 -6.929 -6.903 -6.878 -6.842 -6.811 -6.779 -6.737 -6.696 -6.651 -6.609 -6.564 22 -7.037 -7.007 -6.984 -6.960 -6.929 -6.904 -6.878 -6.852 -6.817 -6.786 -6.754 -6.712 -6.671 -6.626 -6.584 -6.539 23 -7.012 -6.983 -6.959 -6.936 -6.905 -6.879 -6.853 -6.828 -6.793 -6.762 -6.730 -6.688 -6.647 -6.602 -6.560 -6.515 24 -7.014 -6.985 -6.962 -6.938 -6.907 -6.881 -6.856 -6.830 -6.795 -6.764 -6.732 -6.690 -6.648 -6.603 -6.561 -6.516 25 -6.993 -6.964 -6.940 -6.917 -6.886 -6.860 -6.834 -6.809 -6.774 -6.742 -6.710 -6.669 -6.627 -6.582 -6.540 -6.495 26 -6.996 -6.967 -6.944 -6.920 -6.889 -6.863 -6.838 -6.812 -6.777 -6.745 -6.713 -6.672 -6.630 -6.585 -6.543 -6.497 27 -6.974 -6.945 -6.922 -6.898 -6.867 -6.842 -6.816 -6.790 -6.755 -6.724 -6.692 -6.650 -6.608 -6.564 -6.521 -6.476 28 -6.990 -6.961 -6.937 -6.913 -6.882 -6.857 -6.831 -6.805 -6.770 -6.739 -6.706 -6.664 -6.623 -6.578 -6.535 -6.490 29 -6.950 -6.921 -6.898 -6.874 -6.843 -6.818 -6.792 -6.766 -6.731 -6.700 -6.668 -6.626 -6.584 -6.540 -6.497 -6.452 30 -6.943 -6.915 -6.891 -6.868 -6.837 -6.811 -6.785 -6.760 -6.725 -6.693 -6.661 -6.619 -6.578 -6.533 -6.490 -6.445 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 1.501 1.421 1.333 1.243 1.141 1.028 0.907 0.777 0.640 0.493 0.332 0.146 -0.058 -1.012 -2.336 -2.654 ---------------------------------------------------------------------------------------------------------------------------------- 3 -6.949 -6.905 -6.858 -6.809 -6.756 -6.697 -6.634 -6.570 -6.500 -6.427 -6.347 -6.253 -6.143 -5.626 -4.787 -4.541 4 -6.909 -6.865 -6.817 -6.769 -6.716 -6.656 -6.594 -6.529 -6.459 -6.385 -6.306 -6.212 -6.102 -5.591 -4.678 -4.342 5 -6.900 -6.856 -6.807 -6.759 -6.705 -6.645 -6.582 -6.517 -6.447 -6.373 -6.294 -6.198 -6.087 -5.577 -4.724 -4.444 6 -6.938 -6.893 -6.843 -6.794 -6.740 -6.679 -6.615 -6.550 -6.480 -6.405 -6.327 -6.230 -6.117 -5.604 -4.782 -4.552 7 -6.891 -6.846 -6.796 -6.745 -6.690 -6.628 -6.563 -6.497 -6.425 -6.350 -6.270 -6.171 -6.057 -5.544 -4.773 -4.588 8 -6.852 -6.806 -6.755 -6.704 -6.648 -6.584 -6.518 -6.451 -6.378 -6.301 -6.220 -6.120 -6.006 -5.493 -4.766 -4.610 9 -6.767 -6.721 -6.669 -6.617 -6.560 -6.496 -6.429 -6.360 -6.287 -6.209 -6.126 -6.025 -5.912 -5.398 -4.665 -4.480 10 -6.778 -6.731 -6.678 -6.626 -6.568 -6.503 -6.434 -6.365 -6.290 -6.212 -6.128 -6.027 -5.913 -5.399 -4.658 -4.472 11 -6.720 -6.673 -6.620 -6.567 -6.508 -6.443 -6.373 -6.303 -6.228 -6.148 -6.064 -5.962 -5.848 -5.334 -4.578 -4.375 12 -6.721 -6.673 -6.619 -6.566 -6.507 -6.440 -6.371 -6.300 -6.224 -6.144 -6.059 -5.956 -5.842 -5.326 -4.555 -4.338 13 -6.678 -6.629 -6.576 -6.522 -6.462 -6.396 -6.325 -6.254 -6.177 -6.097 -6.011 -5.908 -5.794 -5.277 -4.494 -4.269 14 -6.683 -6.634 -6.579 -6.525 -6.465 -6.398 -6.327 -6.255 -6.178 -6.097 -6.011 -5.907 -5.793 -5.273 -4.478 -4.236 15 -6.640 -6.591 -6.536 -6.482 -6.421 -6.354 -6.283 -6.211 -6.134 -6.052 -5.966 -5.861 -5.747 -5.225 -4.429 -4.198 16 -6.643 -6.593 -6.539 -6.484 -6.423 -6.356 -6.284 -6.212 -6.134 -6.052 -5.965 -5.860 -5.745 -5.221 -4.417 -4.193 17 -6.595 -6.546 -6.491 -6.436 -6.375 -6.308 -6.236 -6.163 -6.085 -6.003 -5.916 -5.810 -5.696 -5.169 -4.396 -4.215 18 -6.535 -6.485 -6.431 -6.376 -6.315 -6.248 -6.176 -6.103 -6.025 -5.943 -5.855 -5.749 -5.634 -5.106 -4.338 -4.164 19 -6.571 -6.521 -6.466 -6.411 -6.350 -6.282 -6.210 -6.137 -6.058 -5.975 -5.887 -5.781 -5.665 -5.133 -4.399 -4.255 20 -6.573 -6.524 -6.468 -6.413 -6.352 -6.284 -6.211 -6.138 -6.059 -5.976 -5.887 -5.780 -5.664 -5.130 -4.376 -4.210 21 -6.513 -6.464 -6.409 -6.354 -6.292 -6.224 -6.152 -6.078 -5.999 -5.916 -5.827 -5.720 -5.603 -5.068 -4.327 -4.159 22 -6.488 -6.439 -6.384 -6.329 -6.267 -6.199 -6.127 -6.053 -5.974 -5.890 -5.800 -5.693 -5.576 -5.039 -4.292 -4.129 23 -6.464 -6.415 -6.360 -6.304 -6.243 -6.175 -6.102 -6.028 -5.949 -5.865 -5.775 -5.667 -5.550 -5.011 -4.264 -4.092 24 -6.466 -6.416 -6.361 -6.305 -6.244 -6.175 -6.103 -6.028 -5.949 -5.864 -5.774 -5.666 -5.548 -5.007 -4.248 -4.068 25 -6.444 -6.394 -6.339 -6.284 -6.222 -6.154 -6.081 -6.006 -5.927 -5.842 -5.752 -5.643 -5.525 -4.982 -4.221 -4.046 26 -6.447 -6.397 -6.342 -6.286 -6.224 -6.155 -6.082 -6.008 -5.928 -5.843 -5.752 -5.643 -5.524 -4.979 -4.211 -4.024 27 -6.425 -6.375 -6.320 -6.264 -6.202 -6.134 -6.061 -5.986 -5.905 -5.820 -5.729 -5.620 -5.501 -4.954 -4.179 -3.991 28 -6.439 -6.389 -6.333 -6.278 -6.215 -6.146 -6.073 -5.998 -5.917 -5.832 -5.740 -5.631 -5.511 -4.963 -4.191 -4.011 29 -6.401 -6.351 -6.296 -6.240 -6.177 -6.109 -6.035 -5.960 -5.879 -5.794 -5.702 -5.592 -5.473 -4.923 -4.164 -3.986 30 -6.394 -6.344 -6.288 -6.233 -6.170 -6.101 -6.028 -5.952 -5.871 -5.785 -5.693 -5.583 -5.463 -4.912 -4.148 -3.964 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 -2.812 -2.969 -3.138 -3.317 -3.518 -3.769 -4.107 -4.869 -5.075 -5.236 -5.308 -5.369 -------------------------------------------------------------------------------------------------- 3 -4.423 -4.305 -4.201 -4.092 -3.961 -3.774 -3.475 -2.802 -2.639 -2.514 -2.477 -2.446 4 -4.177 -4.013 -3.902 -3.805 -3.692 -3.556 -3.321 -2.821 -2.688 -2.584 -2.532 -2.486 5 -4.307 -4.168 -4.058 -3.952 -3.832 -3.685 -3.495 -3.090 -2.954 -2.858 -2.807 -2.761 6 -4.446 -4.340 -4.248 -4.154 -4.044 -3.908 -3.725 -3.220 -3.057 -2.940 -2.893 -2.853 7 -4.508 -4.427 -4.342 -4.249 -4.134 -3.988 -3.764 -3.054 -2.879 -2.752 -2.704 -2.662 8 -4.539 -4.462 -4.366 -4.258 -4.128 -3.955 -3.680 -2.897 -2.714 -2.579 -2.531 -2.490 9 -4.388 -4.288 -4.174 -4.051 -3.910 -3.734 -3.477 -2.720 -2.547 -2.428 -2.381 -2.339 10 -4.378 -4.278 -4.165 -4.043 -3.899 -3.709 -3.426 -2.659 -2.491 -2.370 -2.321 -2.279 11 -4.272 -4.163 -4.048 -3.924 -3.779 -3.590 -3.307 -2.531 -2.375 -2.251 -2.204 -2.165 12 -4.228 -4.111 -3.993 -3.868 -3.722 -3.532 -3.240 -2.461 -2.316 -2.223 -2.172 -2.130 13 -4.153 -4.031 -3.911 -3.786 -3.640 -3.449 -3.153 -2.509 -2.368 -2.263 -2.212 -2.168 14 -4.109 -3.975 -3.849 -3.719 -3.571 -3.386 -3.143 -2.683 -2.551 -2.450 -2.402 -2.359 15 -4.081 -3.958 -3.843 -3.723 -3.587 -3.422 -3.221 -2.780 -2.635 -2.522 -2.474 -2.433 16 -4.085 -3.976 -3.877 -3.776 -3.662 -3.518 -3.324 -2.779 -2.618 -2.494 -2.446 -2.405 17 -4.130 -4.042 -3.947 -3.845 -3.728 -3.582 -3.375 -2.660 -2.488 -2.363 -2.316 -2.275 18 -4.081 -3.997 -3.902 -3.798 -3.676 -3.516 -3.276 -2.610 -2.448 -2.324 -2.276 -2.236 19 -4.185 -4.112 -4.015 -3.904 -3.771 -3.588 -3.288 -2.528 -2.368 -2.251 -2.207 -2.169 20 -4.129 -4.045 -3.944 -3.830 -3.697 -3.522 -3.263 -2.552 -2.391 -2.260 -2.213 -2.173 21 -4.076 -3.989 -3.885 -3.771 -3.639 -3.466 -3.176 -2.463 -2.304 -2.184 -2.138 -2.098 22 -4.049 -3.965 -3.861 -3.742 -3.600 -3.400 -3.098 -2.473 -2.313 -2.193 -2.143 -2.101 23 -4.003 -3.908 -3.794 -3.670 -3.528 -3.352 -3.105 -2.468 -2.317 -2.198 -2.150 -2.109 24 -3.979 -3.886 -3.780 -3.665 -3.531 -3.357 -3.089 -2.469 -2.316 -2.196 -2.148 -2.107 25 -3.958 -3.864 -3.755 -3.634 -3.489 -3.300 -3.049 -2.438 -2.281 -2.160 -2.111 -2.069 26 -3.929 -3.830 -3.720 -3.601 -3.466 -3.292 -3.048 -2.459 -2.304 -2.182 -2.133 -2.092 27 -3.899 -3.804 -3.701 -3.590 -3.461 -3.293 -3.049 -2.365 -2.213 -2.097 -2.049 -2.007 28 -3.922 -3.828 -3.724 -3.611 -3.478 -3.307 -3.062 -2.329 -2.185 -2.075 -2.026 -1.984 29 -3.896 -3.802 -3.694 -3.575 -3.437 -3.258 -3.003 -2.387 -2.225 -2.096 -2.047 -2.006 30 -3.871 -3.773 -3.664 -3.546 -3.409 -3.235 -2.988 -2.351 -2.187 -2.058 -2.009 -1.967 ===================================================================================================================================== Diffusion time scales (D. Koester, Kiel 2020) log10(taudiff[yrs]) log10(qvz) EL Teff[K] log g = 8.500 log(qvz) including 0.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -6.058 -6.104 -6.151 -6.191 -6.230 -6.261 -6.293 -6.316 -6.335 -6.350 -6.364 -6.375 -6.381 -6.383 -6.391 -6.391 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.880 5.832 5.784 5.739 5.695 5.658 5.619 5.586 5.558 5.533 5.509 5.487 5.471 5.457 5.440 5.428 4 5.824 5.776 5.728 5.683 5.640 5.603 5.565 5.532 5.505 5.481 5.458 5.436 5.422 5.408 5.394 5.383 5 5.801 5.753 5.705 5.660 5.617 5.580 5.542 5.510 5.483 5.460 5.437 5.416 5.403 5.390 5.377 5.366 6 5.844 5.794 5.744 5.698 5.653 5.616 5.577 5.544 5.517 5.493 5.471 5.449 5.437 5.424 5.411 5.401 7 5.770 5.722 5.673 5.629 5.584 5.548 5.511 5.479 5.453 5.430 5.409 5.389 5.377 5.365 5.354 5.344 8 5.707 5.660 5.612 5.569 5.525 5.491 5.454 5.423 5.399 5.376 5.356 5.337 5.326 5.315 5.304 5.295 9 5.585 5.540 5.495 5.453 5.413 5.380 5.345 5.316 5.293 5.273 5.254 5.236 5.226 5.216 5.207 5.199 10 5.591 5.545 5.500 5.458 5.417 5.384 5.349 5.321 5.297 5.277 5.259 5.241 5.231 5.222 5.213 5.205 11 5.508 5.464 5.420 5.379 5.340 5.308 5.275 5.247 5.225 5.206 5.189 5.172 5.163 5.154 5.146 5.139 12 5.502 5.458 5.414 5.373 5.334 5.302 5.269 5.242 5.220 5.201 5.184 5.167 5.159 5.150 5.142 5.136 13 5.441 5.397 5.354 5.315 5.276 5.245 5.214 5.187 5.166 5.148 5.131 5.115 5.108 5.100 5.092 5.087 14 5.440 5.397 5.354 5.314 5.275 5.245 5.213 5.187 5.166 5.148 5.132 5.116 5.109 5.101 5.094 5.088 15 5.381 5.339 5.296 5.258 5.220 5.190 5.159 5.134 5.114 5.096 5.081 5.066 5.059 5.052 5.045 5.040 16 5.379 5.337 5.294 5.256 5.218 5.189 5.158 5.132 5.112 5.095 5.080 5.065 5.058 5.051 5.045 5.040 17 5.316 5.274 5.233 5.195 5.158 5.130 5.100 5.075 5.056 5.039 5.025 5.010 5.004 4.998 4.992 4.988 18 5.239 5.199 5.158 5.122 5.086 5.058 5.029 5.005 4.987 4.971 4.957 4.944 4.938 4.932 4.926 4.923 19 5.277 5.236 5.195 5.158 5.122 5.094 5.064 5.040 5.022 5.006 4.992 4.978 4.972 4.966 4.961 4.957 20 5.276 5.235 5.194 5.157 5.120 5.092 5.063 5.039 5.021 5.005 4.991 4.977 4.972 4.966 4.961 4.958 21 5.200 5.161 5.121 5.085 5.049 5.022 4.994 4.971 4.953 4.938 4.925 4.912 4.907 4.902 4.897 4.894 22 5.167 5.128 5.088 5.053 5.018 4.991 4.963 4.940 4.923 4.908 4.895 4.883 4.878 4.873 4.868 4.866 23 5.135 5.096 5.057 5.022 4.988 4.961 4.934 4.911 4.894 4.880 4.867 4.855 4.850 4.846 4.841 4.839 24 5.133 5.094 5.055 5.020 4.985 4.959 4.932 4.909 4.893 4.878 4.866 4.854 4.849 4.845 4.840 4.838 25 5.105 5.066 5.028 4.993 4.959 4.933 4.906 4.884 4.867 4.853 4.841 4.829 4.825 4.821 4.816 4.814 26 5.104 5.065 5.027 4.992 4.958 4.932 4.905 4.883 4.867 4.853 4.841 4.829 4.825 4.821 4.817 4.815 27 5.076 5.038 5.000 4.965 4.932 4.906 4.879 4.858 4.841 4.828 4.816 4.805 4.801 4.797 4.793 4.791 28 5.088 5.050 5.011 4.977 4.943 4.918 4.891 4.869 4.853 4.839 4.828 4.816 4.813 4.809 4.805 4.803 29 5.042 5.005 4.967 4.933 4.900 4.874 4.848 4.827 4.811 4.798 4.786 4.775 4.772 4.768 4.764 4.763 30 5.031 4.994 4.956 4.922 4.889 4.864 4.838 4.817 4.801 4.788 4.777 4.766 4.763 4.759 4.756 4.754 EL Teff[K] log g = 8.500 log(qvz) including 0.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -6.393 -6.397 -6.394 -6.394 -6.391 -6.386 -6.384 -6.388 -6.398 -6.405 -6.411 -6.423 -6.433 -6.446 -6.457 -6.479 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.416 5.404 5.395 5.385 5.380 5.375 5.369 5.362 5.348 5.337 5.327 5.314 5.305 5.293 5.283 5.262 4 5.371 5.361 5.353 5.343 5.342 5.336 5.330 5.326 5.311 5.300 5.289 5.276 5.267 5.256 5.245 5.223 5 5.355 5.347 5.340 5.331 5.332 5.327 5.322 5.319 5.306 5.295 5.284 5.271 5.264 5.253 5.242 5.219 6 5.390 5.383 5.377 5.367 5.370 5.366 5.361 5.361 5.348 5.337 5.327 5.314 5.309 5.299 5.289 5.264 7 5.334 5.328 5.323 5.314 5.318 5.315 5.311 5.312 5.299 5.290 5.280 5.268 5.263 5.254 5.244 5.220 8 5.286 5.281 5.276 5.269 5.273 5.271 5.268 5.269 5.257 5.248 5.240 5.228 5.224 5.215 5.206 5.182 9 5.191 5.186 5.182 5.176 5.180 5.179 5.177 5.178 5.167 5.159 5.151 5.140 5.135 5.127 5.118 5.096 10 5.197 5.193 5.190 5.183 5.189 5.188 5.186 5.188 5.177 5.169 5.161 5.151 5.147 5.139 5.131 5.108 11 5.132 5.128 5.126 5.120 5.126 5.125 5.124 5.126 5.116 5.108 5.101 5.090 5.086 5.079 5.071 5.049 12 5.129 5.126 5.123 5.118 5.124 5.124 5.123 5.126 5.116 5.108 5.101 5.091 5.088 5.081 5.072 5.050 13 5.080 5.078 5.075 5.071 5.077 5.077 5.076 5.079 5.069 5.062 5.056 5.046 5.042 5.035 5.027 5.006 14 5.082 5.080 5.078 5.073 5.080 5.080 5.080 5.083 5.074 5.067 5.060 5.050 5.047 5.041 5.033 5.011 15 5.034 5.032 5.031 5.026 5.033 5.034 5.034 5.037 5.028 5.021 5.015 5.006 5.002 4.996 4.988 4.967 16 5.035 5.033 5.032 5.028 5.035 5.036 5.036 5.040 5.031 5.024 5.018 5.008 5.006 4.999 4.992 4.970 17 4.982 4.981 4.980 4.977 4.984 4.985 4.986 4.989 4.980 4.974 4.968 4.959 4.956 4.949 4.942 4.921 18 4.918 4.917 4.916 4.913 4.920 4.922 4.923 4.926 4.917 4.911 4.906 4.897 4.893 4.887 4.879 4.859 19 4.953 4.952 4.951 4.948 4.956 4.958 4.958 4.962 4.954 4.948 4.942 4.933 4.931 4.924 4.917 4.896 20 4.953 4.953 4.952 4.949 4.958 4.959 4.960 4.965 4.956 4.950 4.945 4.936 4.933 4.927 4.920 4.899 21 4.890 4.889 4.889 4.887 4.894 4.897 4.898 4.902 4.894 4.888 4.883 4.874 4.871 4.865 4.858 4.838 22 4.862 4.862 4.862 4.860 4.868 4.870 4.871 4.875 4.867 4.862 4.857 4.848 4.845 4.839 4.832 4.812 23 4.835 4.835 4.836 4.834 4.841 4.844 4.846 4.850 4.842 4.836 4.831 4.823 4.820 4.814 4.807 4.787 24 4.835 4.835 4.835 4.833 4.842 4.845 4.846 4.850 4.842 4.837 4.832 4.824 4.821 4.815 4.808 4.788 25 4.811 4.811 4.812 4.810 4.819 4.822 4.824 4.828 4.820 4.815 4.810 4.802 4.799 4.793 4.786 4.766 26 4.812 4.812 4.813 4.811 4.820 4.823 4.825 4.829 4.822 4.817 4.812 4.804 4.801 4.795 4.789 4.769 27 4.788 4.789 4.790 4.788 4.797 4.800 4.802 4.807 4.799 4.794 4.790 4.782 4.779 4.773 4.766 4.747 28 4.801 4.801 4.802 4.801 4.810 4.813 4.815 4.820 4.813 4.808 4.803 4.795 4.793 4.787 4.781 4.761 29 4.761 4.761 4.763 4.762 4.770 4.774 4.776 4.781 4.773 4.768 4.764 4.756 4.754 4.748 4.741 4.722 30 4.752 4.753 4.754 4.753 4.762 4.766 4.768 4.773 4.766 4.761 4.757 4.749 4.746 4.740 4.734 4.715 EL Teff[K] log g = 8.500 log(qvz) including 0.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -6.500 -6.528 -6.558 -6.587 -6.624 -6.659 -6.694 -6.736 -6.777 -6.823 -6.872 -6.921 -6.978 -7.037 -7.098 -7.166 ---------------------------------------------------------------------------------------------------------------------------------- 3 5.243 5.222 5.199 5.177 5.151 5.125 5.096 5.067 5.038 5.007 4.973 4.936 4.898 4.859 4.812 4.768 4 5.203 5.181 5.158 5.136 5.109 5.084 5.052 5.023 4.995 4.964 4.930 4.891 4.853 4.814 4.765 4.721 5 5.198 5.176 5.153 5.131 5.104 5.078 5.045 5.015 4.988 4.956 4.922 4.882 4.843 4.804 4.753 4.709 6 5.242 5.220 5.197 5.175 5.148 5.122 5.086 5.057 5.029 4.997 4.963 4.921 4.882 4.843 4.788 4.744 7 5.198 5.177 5.154 5.132 5.105 5.079 5.044 5.015 4.987 4.955 4.920 4.878 4.839 4.799 4.744 4.699 8 5.161 5.140 5.117 5.095 5.069 5.043 5.007 4.978 4.950 4.918 4.884 4.841 4.802 4.762 4.707 4.662 9 5.075 5.054 5.032 5.011 4.984 4.958 4.924 4.895 4.867 4.835 4.800 4.758 4.719 4.679 4.626 4.580 10 5.087 5.067 5.045 5.023 4.997 4.971 4.937 4.907 4.879 4.847 4.812 4.770 4.731 4.691 4.636 4.590 11 5.029 5.008 4.986 4.965 4.939 4.913 4.879 4.850 4.822 4.790 4.755 4.713 4.674 4.633 4.580 4.533 12 5.030 5.010 4.988 4.967 4.941 4.915 4.881 4.852 4.824 4.791 4.757 4.715 4.675 4.635 4.580 4.534 13 4.986 4.966 4.944 4.923 4.897 4.871 4.838 4.809 4.780 4.748 4.713 4.672 4.632 4.591 4.538 4.491 14 4.991 4.971 4.950 4.929 4.902 4.877 4.843 4.814 4.786 4.754 4.719 4.677 4.637 4.596 4.542 4.495 15 4.947 4.927 4.906 4.885 4.859 4.833 4.800 4.771 4.743 4.710 4.675 4.634 4.594 4.553 4.500 4.453 16 4.951 4.931 4.909 4.889 4.862 4.837 4.804 4.774 4.746 4.714 4.679 4.637 4.597 4.556 4.503 4.456 17 4.902 4.882 4.861 4.840 4.814 4.788 4.756 4.726 4.698 4.666 4.631 4.590 4.550 4.509 4.456 4.409 18 4.841 4.821 4.799 4.779 4.752 4.727 4.695 4.666 4.638 4.605 4.570 4.530 4.490 4.449 4.397 4.349 19 4.878 4.858 4.836 4.816 4.790 4.764 4.732 4.702 4.674 4.642 4.607 4.566 4.526 4.485 4.431 4.384 20 4.880 4.861 4.839 4.819 4.793 4.767 4.735 4.705 4.677 4.645 4.610 4.568 4.528 4.487 4.434 4.387 21 4.819 4.800 4.778 4.758 4.732 4.706 4.674 4.645 4.617 4.584 4.549 4.509 4.469 4.427 4.375 4.328 22 4.794 4.774 4.753 4.732 4.706 4.681 4.649 4.620 4.592 4.559 4.524 4.484 4.444 4.402 4.350 4.303 23 4.769 4.749 4.728 4.708 4.682 4.656 4.625 4.596 4.567 4.535 4.500 4.460 4.419 4.378 4.326 4.279 24 4.770 4.751 4.730 4.709 4.683 4.658 4.626 4.597 4.569 4.536 4.501 4.461 4.421 4.379 4.328 4.280 25 4.749 4.729 4.708 4.688 4.661 4.636 4.605 4.575 4.547 4.515 4.480 4.440 4.399 4.358 4.306 4.259 26 4.751 4.732 4.710 4.690 4.664 4.639 4.607 4.578 4.550 4.517 4.482 4.442 4.402 4.360 4.309 4.261 27 4.729 4.710 4.689 4.668 4.642 4.617 4.586 4.556 4.528 4.496 4.460 4.420 4.380 4.339 4.287 4.239 28 4.743 4.724 4.702 4.682 4.656 4.631 4.600 4.570 4.542 4.509 4.474 4.434 4.394 4.352 4.300 4.253 29 4.704 4.685 4.664 4.644 4.618 4.592 4.561 4.532 4.504 4.471 4.436 4.396 4.356 4.314 4.263 4.215 30 4.697 4.678 4.657 4.637 4.611 4.585 4.554 4.525 4.497 4.464 4.429 4.389 4.349 4.307 4.256 4.208 EL Teff[K] log g = 8.500 log(qvz) including 0.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 21000 22000 23000 qcvz -7.239 -7.319 -7.399 -7.486 -7.581 -7.675 -7.778 -7.880 -7.994 -8.117 -8.248 -8.386 -8.538 -9.296 -10.232 -11.359 ---------------------------------------------------------------------------------------------------------------------------------- 3 4.720 4.666 4.614 4.556 4.494 4.435 4.369 4.305 4.234 4.159 4.081 3.997 3.907 3.444 2.867 2.147 4 4.674 4.618 4.567 4.508 4.446 4.387 4.320 4.256 4.185 4.109 4.031 3.947 3.857 3.388 2.816 2.101 5 4.662 4.605 4.553 4.493 4.430 4.371 4.303 4.238 4.166 4.090 4.011 3.926 3.836 3.363 2.790 2.080 6 4.697 4.638 4.586 4.524 4.460 4.401 4.331 4.265 4.192 4.115 4.035 3.949 3.859 3.382 2.808 2.101 7 4.652 4.592 4.540 4.477 4.412 4.352 4.282 4.215 4.141 4.062 3.981 3.894 3.802 3.321 2.746 2.040 8 4.614 4.554 4.501 4.438 4.371 4.311 4.240 4.172 4.097 4.017 3.935 3.847 3.753 3.269 2.694 1.988 9 4.531 4.472 4.418 4.355 4.289 4.227 4.156 4.087 4.012 3.931 3.848 3.759 3.664 3.178 2.602 1.895 10 4.541 4.481 4.427 4.363 4.296 4.234 4.162 4.093 4.016 3.935 3.851 3.761 3.666 3.176 2.600 1.892 11 4.484 4.424 4.370 4.306 4.239 4.176 4.104 4.035 3.958 3.876 3.791 3.701 3.605 3.114 2.536 1.827 12 4.485 4.424 4.369 4.305 4.237 4.175 4.102 4.032 3.955 3.873 3.787 3.696 3.600 3.107 2.527 1.815 13 4.442 4.381 4.326 4.262 4.195 4.132 4.059 3.989 3.911 3.829 3.743 3.652 3.554 3.060 2.478 1.765 14 4.446 4.385 4.330 4.266 4.197 4.134 4.061 3.991 3.913 3.830 3.744 3.652 3.555 3.058 2.474 1.759 15 4.403 4.343 4.287 4.223 4.155 4.092 4.019 3.948 3.870 3.787 3.701 3.609 3.511 3.014 2.427 1.710 16 4.406 4.345 4.289 4.225 4.157 4.093 4.020 3.949 3.871 3.788 3.701 3.609 3.511 3.011 2.423 1.703 17 4.359 4.298 4.243 4.179 4.110 4.047 3.973 3.903 3.824 3.741 3.654 3.562 3.463 2.963 2.372 1.651 18 4.299 4.239 4.184 4.120 4.052 3.988 3.915 3.844 3.766 3.683 3.596 3.504 3.405 2.904 2.311 1.589 19 4.334 4.273 4.218 4.154 4.085 4.021 3.948 3.877 3.798 3.715 3.628 3.535 3.436 2.933 2.337 1.613 20 4.336 4.276 4.220 4.156 4.087 4.023 3.949 3.878 3.799 3.716 3.628 3.535 3.436 2.931 2.334 1.607 21 4.278 4.217 4.161 4.097 4.029 3.965 3.891 3.820 3.742 3.658 3.571 3.478 3.378 2.873 2.273 1.547 22 4.253 4.192 4.136 4.073 4.004 3.940 3.867 3.796 3.717 3.633 3.545 3.452 3.352 2.846 2.245 1.517 23 4.229 4.168 4.112 4.049 3.980 3.916 3.842 3.771 3.693 3.609 3.521 3.428 3.328 2.820 2.218 1.489 24 4.229 4.169 4.113 4.049 3.981 3.916 3.843 3.772 3.693 3.608 3.521 3.427 3.327 2.818 2.214 1.484 25 4.208 4.148 4.092 4.028 3.960 3.895 3.821 3.750 3.671 3.587 3.499 3.405 3.305 2.795 2.189 1.459 26 4.210 4.150 4.094 4.030 3.961 3.896 3.823 3.752 3.672 3.588 3.500 3.406 3.305 2.794 2.187 1.455 27 4.189 4.128 4.072 4.009 3.940 3.875 3.801 3.730 3.651 3.566 3.478 3.384 3.283 2.771 2.162 1.431 28 4.202 4.141 4.085 4.021 3.952 3.887 3.814 3.742 3.663 3.578 3.489 3.395 3.294 2.781 2.170 1.438 29 4.165 4.104 4.048 3.984 3.915 3.850 3.776 3.705 3.626 3.541 3.452 3.358 3.257 2.743 2.132 1.399 30 4.157 4.097 4.041 3.977 3.908 3.843 3.769 3.697 3.618 3.533 3.444 3.350 3.248 2.734 2.121 1.388 EL Teff[K] log g = 8.500 log(qvz) including 0.00 Hp overshoot Z 24000 25000 26000 27000 28000 29000 30000 32000 34000 36000 38000 40000 qcvz -12.139 -12.287 -12.424 -12.567 -12.724 -12.907 -13.115 -13.637 -14.425 -15.048 -15.209 -15.335 -------------------------------------------------------------------------------------------------- 3 1.551 1.428 1.313 1.197 1.067 0.915 0.774 0.370 -0.400 -0.875 -1.001 -1.097 4 1.446 1.294 1.152 1.006 0.844 0.660 0.535 0.209 -0.396 -0.818 -0.933 -1.023 5 1.484 1.357 1.238 1.116 0.980 0.824 0.692 0.357 -0.147 -0.554 -0.672 -0.761 6 1.543 1.435 1.336 1.237 1.127 1.003 0.881 0.567 0.047 -0.450 -0.579 -0.675 7 1.530 1.440 1.358 1.277 1.188 1.085 0.961 0.624 -0.035 -0.613 -0.748 -0.849 8 1.515 1.437 1.363 1.289 1.202 1.095 0.957 0.578 -0.140 -0.776 -0.913 -1.016 9 1.399 1.309 1.223 1.132 1.027 0.897 0.752 0.372 -0.337 -0.948 -1.081 -1.181 10 1.398 1.309 1.222 1.131 1.025 0.893 0.744 0.340 -0.382 -1.006 -1.137 -1.235 11 1.319 1.223 1.130 1.033 0.920 0.780 0.629 0.225 -0.509 -1.138 -1.252 -1.351 12 1.294 1.194 1.096 0.993 0.874 0.727 0.574 0.164 -0.618 -1.205 -1.325 -1.413 13 1.235 1.131 1.030 0.923 0.799 0.648 0.495 0.083 -0.633 -1.138 -1.256 -1.347 14 1.212 1.101 0.993 0.877 0.743 0.578 0.424 0.032 -0.547 -0.967 -1.080 -1.168 15 1.172 1.067 0.966 0.859 0.736 0.589 0.444 0.083 -0.435 -0.876 -0.996 -1.088 16 1.165 1.063 0.968 0.869 0.760 0.634 0.506 0.177 -0.369 -0.883 -1.010 -1.108 17 1.153 1.068 0.989 0.907 0.815 0.706 0.576 0.238 -0.370 -1.010 -1.141 -1.240 18 1.091 1.006 0.927 0.846 0.755 0.645 0.513 0.156 -0.495 -1.053 -1.180 -1.277 19 1.150 1.078 1.009 0.938 0.855 0.751 0.610 0.210 -0.522 -1.144 -1.265 -1.361 20 1.121 1.040 0.963 0.883 0.792 0.678 0.537 0.158 -0.523 -1.115 -1.242 -1.338 21 1.066 0.986 0.909 0.828 0.737 0.624 0.483 0.097 -0.702 -1.201 -1.324 -1.421 22 1.039 0.959 0.883 0.802 0.710 0.591 0.442 0.015 -0.689 -1.184 -1.310 -1.407 23 1.005 0.920 0.839 0.752 0.652 0.526 0.379 -0.002 -0.651 -1.190 -1.312 -1.407 24 0.992 0.907 0.825 0.740 0.642 0.523 0.381 -0.002 -0.683 -1.189 -1.312 -1.407 25 0.966 0.882 0.800 0.713 0.613 0.487 0.336 -0.062 -0.679 -1.221 -1.346 -1.442 26 0.954 0.865 0.779 0.689 0.586 0.459 0.312 -0.064 -0.685 -1.199 -1.323 -1.419 27 0.927 0.839 0.755 0.667 0.568 0.448 0.309 -0.061 -0.719 -1.292 -1.414 -1.508 28 0.941 0.854 0.772 0.686 0.588 0.468 0.327 -0.047 -0.725 -1.324 -1.443 -1.534 29 0.909 0.823 0.741 0.654 0.555 0.432 0.287 -0.099 -0.733 -1.271 -1.399 -1.498 30 0.892 0.804 0.720 0.631 0.529 0.404 0.259 -0.119 -0.763 -1.308 -1.436 -1.536 ================================================================================================================================== 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 2.754 2.724 2.695 2.668 2.641 2.620 2.597 2.578 2.562 2.548 2.533 2.521 2.511 2.503 2.491 2.483 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.614 -7.583 -7.551 -7.520 -7.489 -7.460 -7.430 -7.402 -7.377 -7.352 -7.329 -7.305 -7.285 -7.265 -7.245 -7.224 4 -7.558 -7.527 -7.495 -7.464 -7.433 -7.405 -7.376 -7.349 -7.324 -7.300 -7.278 -7.254 -7.236 -7.216 -7.198 -7.179 5 -7.535 -7.504 -7.472 -7.441 -7.410 -7.383 -7.354 -7.327 -7.302 -7.279 -7.257 -7.234 -7.217 -7.198 -7.181 -7.163 6 -7.578 -7.545 -7.511 -7.479 -7.447 -7.418 -7.389 -7.361 -7.336 -7.313 -7.291 -7.267 -7.251 -7.232 -7.216 -7.197 7 -7.505 -7.473 -7.440 -7.409 -7.378 -7.351 -7.322 -7.296 -7.272 -7.250 -7.229 -7.206 -7.191 -7.173 -7.158 -7.140 8 -7.442 -7.411 -7.379 -7.350 -7.319 -7.293 -7.266 -7.240 -7.218 -7.196 -7.176 -7.154 -7.140 -7.123 -7.109 -7.091 9 -7.320 -7.291 -7.262 -7.234 -7.206 -7.182 -7.157 -7.133 -7.112 -7.092 -7.074 -7.054 -7.040 -7.024 -7.011 -6.995 10 -7.325 -7.296 -7.267 -7.239 -7.210 -7.186 -7.161 -7.137 -7.117 -7.097 -7.079 -7.058 -7.045 -7.030 -7.017 -7.001 11 -7.242 -7.215 -7.187 -7.160 -7.133 -7.110 -7.086 -7.064 -7.044 -7.026 -7.008 -6.989 -6.977 -6.962 -6.950 -6.935 12 -7.236 -7.209 -7.181 -7.154 -7.127 -7.104 -7.081 -7.058 -7.039 -7.021 -7.004 -6.985 -6.973 -6.958 -6.947 -6.932 13 -7.175 -7.148 -7.121 -7.096 -7.070 -7.048 -7.025 -7.003 -6.985 -6.967 -6.951 -6.933 -6.922 -6.908 -6.897 -6.883 14 -7.175 -7.148 -7.121 -7.095 -7.069 -7.047 -7.024 -7.003 -6.985 -6.967 -6.952 -6.934 -6.923 -6.909 -6.898 -6.884 15 -7.115 -7.090 -7.063 -7.039 -7.014 -6.993 -6.971 -6.950 -6.933 -6.916 -6.901 -6.883 -6.873 -6.860 -6.849 -6.836 16 -7.113 -7.088 -7.062 -7.037 -7.012 -6.991 -6.969 -6.948 -6.931 -6.915 -6.900 -6.882 -6.872 -6.859 -6.849 -6.836 17 -7.050 -7.025 -7.000 -6.976 -6.952 -6.932 -6.911 -6.891 -6.875 -6.859 -6.845 -6.828 -6.818 -6.806 -6.796 -6.784 18 -6.973 -6.950 -6.925 -6.903 -6.880 -6.861 -6.840 -6.822 -6.806 -6.791 -6.777 -6.761 -6.752 -6.740 -6.731 -6.719 19 -7.011 -6.987 -6.962 -6.939 -6.915 -6.896 -6.875 -6.856 -6.841 -6.825 -6.811 -6.796 -6.786 -6.774 -6.765 -6.753 20 -7.010 -6.986 -6.961 -6.938 -6.914 -6.895 -6.874 -6.855 -6.840 -6.825 -6.811 -6.795 -6.786 -6.774 -6.766 -6.754 21 -6.934 -6.911 -6.888 -6.866 -6.843 -6.825 -6.805 -6.787 -6.772 -6.758 -6.745 -6.730 -6.721 -6.710 -6.701 -6.690 22 -6.901 -6.879 -6.855 -6.834 -6.812 -6.794 -6.775 -6.757 -6.742 -6.728 -6.715 -6.701 -6.692 -6.681 -6.673 -6.662 23 -6.869 -6.847 -6.824 -6.803 -6.781 -6.764 -6.745 -6.728 -6.713 -6.700 -6.687 -6.673 -6.665 -6.654 -6.646 -6.635 24 -6.867 -6.845 -6.822 -6.801 -6.779 -6.762 -6.743 -6.726 -6.712 -6.698 -6.686 -6.671 -6.663 -6.653 -6.645 -6.634 25 -6.839 -6.817 -6.795 -6.774 -6.753 -6.735 -6.717 -6.700 -6.686 -6.673 -6.661 -6.647 -6.639 -6.629 -6.621 -6.610 26 -6.838 -6.816 -6.794 -6.773 -6.752 -6.735 -6.716 -6.700 -6.686 -6.673 -6.661 -6.647 -6.639 -6.629 -6.621 -6.611 27 -6.810 -6.789 -6.767 -6.746 -6.725 -6.708 -6.691 -6.674 -6.661 -6.648 -6.636 -6.622 -6.615 -6.605 -6.597 -6.587 28 -6.822 -6.801 -6.779 -6.758 -6.737 -6.720 -6.702 -6.686 -6.672 -6.659 -6.647 -6.634 -6.627 -6.617 -6.609 -6.599 29 -6.776 -6.755 -6.734 -6.714 -6.693 -6.677 -6.659 -6.643 -6.630 -6.617 -6.606 -6.593 -6.586 -6.576 -6.569 -6.559 30 -6.766 -6.745 -6.723 -6.703 -6.683 -6.667 -6.649 -6.633 -6.620 -6.608 -6.597 -6.584 -6.577 -6.567 -6.560 -6.550 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 2.474 2.464 2.456 2.448 2.441 2.434 2.427 2.416 2.400 2.386 2.374 2.358 2.343 2.326 2.310 2.288 ---------------------------------------------------------------------------------------------------------------------------------- 3 -7.205 -7.186 -7.168 -7.149 -7.134 -7.118 -7.101 -7.087 -7.068 -7.050 -7.033 -7.016 -7.002 -6.987 -6.971 -6.951 4 -7.160 -7.143 -7.126 -7.108 -7.095 -7.079 -7.063 -7.051 -7.031 -7.013 -6.996 -6.978 -6.965 -6.950 -6.934 -6.912 5 -7.144 -7.130 -7.113 -7.095 -7.085 -7.070 -7.055 -7.045 -7.025 -7.008 -6.991 -6.973 -6.962 -6.947 -6.931 -6.908 6 -7.179 -7.166 -7.149 -7.132 -7.124 -7.109 -7.094 -7.087 -7.067 -7.051 -7.033 -7.017 -7.007 -6.993 -6.977 -6.953 7 -7.123 -7.111 -7.095 -7.078 -7.072 -7.058 -7.044 -7.037 -7.019 -7.003 -6.986 -6.970 -6.961 -6.948 -6.933 -6.909 8 -7.075 -7.064 -7.049 -7.033 -7.027 -7.013 -7.000 -6.995 -6.977 -6.962 -6.946 -6.930 -6.922 -6.909 -6.894 -6.871 9 -6.980 -6.969 -6.955 -6.940 -6.934 -6.922 -6.909 -6.903 -6.887 -6.872 -6.857 -6.842 -6.833 -6.821 -6.807 -6.784 10 -6.986 -6.976 -6.962 -6.948 -6.943 -6.930 -6.918 -6.913 -6.897 -6.882 -6.868 -6.853 -6.845 -6.833 -6.819 -6.797 11 -6.921 -6.911 -6.898 -6.884 -6.880 -6.868 -6.856 -6.851 -6.835 -6.821 -6.807 -6.793 -6.784 -6.773 -6.759 -6.737 12 -6.918 -6.908 -6.896 -6.882 -6.878 -6.867 -6.855 -6.851 -6.835 -6.821 -6.807 -6.793 -6.786 -6.774 -6.761 -6.739 13 -6.869 -6.860 -6.848 -6.835 -6.831 -6.820 -6.809 -6.805 -6.789 -6.775 -6.762 -6.748 -6.740 -6.729 -6.716 -6.694 14 -6.871 -6.862 -6.850 -6.837 -6.834 -6.823 -6.812 -6.809 -6.793 -6.780 -6.766 -6.753 -6.745 -6.734 -6.721 -6.700 15 -6.823 -6.815 -6.803 -6.791 -6.787 -6.777 -6.767 -6.763 -6.747 -6.734 -6.721 -6.708 -6.700 -6.689 -6.677 -6.655 16 -6.824 -6.815 -6.804 -6.792 -6.789 -6.779 -6.769 -6.765 -6.750 -6.737 -6.724 -6.711 -6.704 -6.693 -6.680 -6.659 17 -6.772 -6.763 -6.753 -6.741 -6.738 -6.728 -6.718 -6.714 -6.700 -6.687 -6.674 -6.661 -6.654 -6.643 -6.631 -6.610 18 -6.707 -6.699 -6.689 -6.678 -6.674 -6.665 -6.656 -6.651 -6.637 -6.624 -6.612 -6.599 -6.591 -6.580 -6.568 -6.548 19 -6.742 -6.734 -6.724 -6.712 -6.710 -6.700 -6.691 -6.688 -6.673 -6.661 -6.648 -6.636 -6.629 -6.618 -6.606 -6.585 20 -6.742 -6.735 -6.725 -6.713 -6.711 -6.702 -6.693 -6.690 -6.675 -6.663 -6.651 -6.638 -6.631 -6.621 -6.609 -6.588 21 -6.679 -6.671 -6.662 -6.651 -6.648 -6.639 -6.631 -6.627 -6.613 -6.601 -6.589 -6.576 -6.569 -6.558 -6.546 -6.526 22 -6.651 -6.644 -6.635 -6.624 -6.621 -6.613 -6.604 -6.600 -6.587 -6.575 -6.563 -6.550 -6.543 -6.532 -6.521 -6.501 23 -6.624 -6.617 -6.608 -6.598 -6.595 -6.587 -6.578 -6.575 -6.561 -6.549 -6.538 -6.525 -6.518 -6.507 -6.496 -6.476 24 -6.624 -6.617 -6.608 -6.598 -6.596 -6.587 -6.579 -6.575 -6.562 -6.550 -6.538 -6.526 -6.519 -6.509 -6.497 -6.477 25 -6.600 -6.594 -6.585 -6.575 -6.573 -6.564 -6.556 -6.553 -6.539 -6.528 -6.516 -6.504 -6.497 -6.487 -6.475 -6.455 26 -6.601 -6.594 -6.586 -6.576 -6.574 -6.566 -6.558 -6.555 -6.541 -6.530 -6.518 -6.506 -6.499 -6.489 -6.477 -6.458 27 -6.577 -6.571 -6.563 -6.553 -6.551 -6.543 -6.535 -6.532 -6.519 -6.507 -6.496 -6.484 -6.477 -6.467 -6.455 -6.436 28 -6.590 -6.583 -6.575 -6.565 -6.564 -6.556 -6.548 -6.545 -6.532 -6.521 -6.509 -6.497 -6.491 -6.481 -6.469 -6.450 29 -6.550 -6.544 -6.535 -6.526 -6.524 -6.517 -6.509 -6.506 -6.493 -6.482 -6.470 -6.459 -6.452 -6.441 -6.430 -6.411 30 -6.541 -6.535 -6.527 -6.517 -6.516 -6.508 -6.501 -6.498 -6.485 -6.474 -6.463 -6.451 -6.444 -6.434 -6.423 -6.403 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 2.266 2.240 2.212 2.185 2.154 2.124 2.094 2.058 2.024 1.986 1.947 1.906 1.860 1.814 1.765 1.710 ---------------------------------------------------------------------------------------------------------------------------------- 3 -6.931 -6.911 -6.891 -6.872 -6.850 -6.830 -6.806 -6.783 -6.761 -6.738 -6.714 -6.685 -6.658 -6.631 -6.597 -6.565 4 -6.890 -6.870 -6.850 -6.831 -6.809 -6.789 -6.762 -6.739 -6.718 -6.695 -6.671 -6.641 -6.614 -6.587 -6.550 -6.519 5 -6.885 -6.865 -6.845 -6.825 -6.804 -6.783 -6.754 -6.732 -6.710 -6.687 -6.663 -6.631 -6.604 -6.577 -6.538 -6.506 6 -6.929 -6.909 -6.889 -6.869 -6.848 -6.827 -6.796 -6.773 -6.752 -6.728 -6.704 -6.670 -6.643 -6.615 -6.573 -6.542 7 -6.886 -6.866 -6.846 -6.827 -6.805 -6.784 -6.753 -6.731 -6.709 -6.686 -6.661 -6.627 -6.599 -6.572 -6.529 -6.497 8 -6.848 -6.829 -6.809 -6.790 -6.769 -6.748 -6.717 -6.695 -6.673 -6.649 -6.625 -6.590 -6.563 -6.535 -6.492 -6.460 9 -6.763 -6.743 -6.724 -6.705 -6.684 -6.663 -6.634 -6.611 -6.590 -6.566 -6.541 -6.508 -6.480 -6.452 -6.410 -6.378 10 -6.775 -6.756 -6.737 -6.718 -6.697 -6.676 -6.646 -6.624 -6.602 -6.578 -6.553 -6.519 -6.491 -6.463 -6.421 -6.388 11 -6.716 -6.697 -6.678 -6.659 -6.638 -6.618 -6.589 -6.566 -6.545 -6.521 -6.496 -6.463 -6.434 -6.406 -6.364 -6.331 12 -6.718 -6.699 -6.680 -6.661 -6.640 -6.620 -6.591 -6.568 -6.546 -6.522 -6.498 -6.464 -6.436 -6.407 -6.365 -6.332 13 -6.674 -6.655 -6.636 -6.617 -6.597 -6.576 -6.547 -6.525 -6.503 -6.479 -6.454 -6.421 -6.393 -6.364 -6.323 -6.289 14 -6.679 -6.660 -6.641 -6.623 -6.602 -6.582 -6.553 -6.530 -6.508 -6.485 -6.460 -6.426 -6.398 -6.369 -6.327 -6.293 15 -6.635 -6.616 -6.598 -6.579 -6.559 -6.538 -6.510 -6.487 -6.465 -6.441 -6.416 -6.383 -6.355 -6.326 -6.285 -6.251 16 -6.638 -6.620 -6.601 -6.583 -6.562 -6.542 -6.513 -6.491 -6.469 -6.445 -6.420 -6.386 -6.358 -6.329 -6.287 -6.253 17 -6.590 -6.571 -6.553 -6.534 -6.514 -6.493 -6.465 -6.443 -6.421 -6.397 -6.372 -6.339 -6.310 -6.281 -6.240 -6.206 18 -6.528 -6.510 -6.491 -6.473 -6.452 -6.432 -6.405 -6.382 -6.360 -6.336 -6.311 -6.279 -6.250 -6.221 -6.181 -6.147 19 -6.565 -6.547 -6.528 -6.510 -6.489 -6.469 -6.441 -6.419 -6.397 -6.373 -6.348 -6.315 -6.286 -6.257 -6.216 -6.182 20 -6.568 -6.550 -6.531 -6.513 -6.493 -6.472 -6.444 -6.422 -6.400 -6.376 -6.351 -6.318 -6.289 -6.260 -6.219 -6.184 21 -6.507 -6.489 -6.470 -6.452 -6.431 -6.411 -6.384 -6.361 -6.339 -6.315 -6.290 -6.258 -6.229 -6.200 -6.160 -6.126 22 -6.481 -6.463 -6.445 -6.427 -6.406 -6.386 -6.359 -6.336 -6.314 -6.290 -6.265 -6.233 -6.204 -6.175 -6.135 -6.101 23 -6.457 -6.439 -6.420 -6.402 -6.381 -6.361 -6.335 -6.312 -6.290 -6.266 -6.241 -6.209 -6.180 -6.150 -6.111 -6.077 24 -6.458 -6.440 -6.421 -6.404 -6.383 -6.363 -6.336 -6.313 -6.291 -6.267 -6.242 -6.210 -6.181 -6.152 -6.112 -6.078 25 -6.436 -6.418 -6.400 -6.382 -6.361 -6.341 -6.315 -6.292 -6.270 -6.246 -6.221 -6.189 -6.160 -6.130 -6.091 -6.057 26 -6.439 -6.421 -6.402 -6.384 -6.364 -6.344 -6.317 -6.294 -6.272 -6.248 -6.223 -6.191 -6.162 -6.133 -6.093 -6.059 27 -6.417 -6.399 -6.380 -6.363 -6.342 -6.322 -6.295 -6.273 -6.251 -6.227 -6.201 -6.170 -6.141 -6.111 -6.072 -6.037 28 -6.431 -6.413 -6.394 -6.377 -6.356 -6.336 -6.309 -6.286 -6.265 -6.240 -6.215 -6.183 -6.154 -6.125 -6.085 -6.050 29 -6.392 -6.374 -6.356 -6.338 -6.317 -6.297 -6.271 -6.248 -6.226 -6.202 -6.177 -6.145 -6.116 -6.087 -6.048 -6.013 30 -6.385 -6.367 -6.349 -6.331 -6.310 -6.290 -6.264 -6.241 -6.219 -6.195 -6.170 -6.138 -6.109 -6.080 -6.041 -6.006 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 1.652 1.589 1.524 1.456 1.381 1.305 1.223 1.141 1.049 0.951 0.846 0.733 0.610 0.009 -0.759 -1.690 ---------------------------------------------------------------------------------------------------------------------------------- 3 -6.533 -6.495 -6.460 -6.420 -6.378 -6.338 -6.293 -6.249 -6.200 -6.149 -6.096 -6.038 -5.977 -5.671 -5.262 -4.737 4 -6.487 -6.448 -6.413 -6.372 -6.329 -6.290 -6.244 -6.199 -6.151 -6.099 -6.046 -5.988 -5.927 -5.615 -5.211 -4.692 5 -6.475 -6.434 -6.399 -6.357 -6.313 -6.274 -6.227 -6.181 -6.132 -6.080 -6.026 -5.967 -5.906 -5.590 -5.185 -4.671 6 -6.510 -6.468 -6.432 -6.388 -6.343 -6.304 -6.255 -6.209 -6.158 -6.105 -6.051 -5.991 -5.929 -5.609 -5.203 -4.691 7 -6.465 -6.422 -6.385 -6.341 -6.295 -6.255 -6.205 -6.158 -6.107 -6.052 -5.997 -5.935 -5.872 -5.548 -5.141 -4.631 8 -6.426 -6.384 -6.346 -6.301 -6.255 -6.214 -6.163 -6.115 -6.063 -6.007 -5.951 -5.888 -5.823 -5.496 -5.089 -4.579 9 -6.344 -6.301 -6.263 -6.219 -6.172 -6.130 -6.079 -6.031 -5.978 -5.922 -5.864 -5.800 -5.734 -5.405 -4.996 -4.486 10 -6.354 -6.310 -6.272 -6.227 -6.179 -6.137 -6.085 -6.036 -5.982 -5.925 -5.867 -5.802 -5.735 -5.404 -4.994 -4.482 11 -6.297 -6.254 -6.215 -6.170 -6.122 -6.079 -6.028 -5.978 -5.924 -5.866 -5.807 -5.742 -5.675 -5.341 -4.931 -4.417 12 -6.297 -6.254 -6.215 -6.169 -6.121 -6.077 -6.026 -5.976 -5.921 -5.863 -5.803 -5.738 -5.669 -5.334 -4.922 -4.406 13 -6.254 -6.211 -6.172 -6.126 -6.078 -6.034 -5.982 -5.932 -5.877 -5.819 -5.759 -5.693 -5.624 -5.287 -4.873 -4.356 14 -6.258 -6.215 -6.175 -6.129 -6.081 -6.037 -5.985 -5.934 -5.879 -5.820 -5.760 -5.693 -5.624 -5.285 -4.869 -4.349 15 -6.216 -6.172 -6.133 -6.087 -6.039 -5.994 -5.942 -5.892 -5.836 -5.777 -5.717 -5.650 -5.581 -5.241 -4.822 -4.301 16 -6.218 -6.174 -6.135 -6.089 -6.040 -5.996 -5.943 -5.893 -5.837 -5.778 -5.717 -5.650 -5.580 -5.238 -4.818 -4.294 17 -6.171 -6.128 -6.088 -6.042 -5.994 -5.949 -5.897 -5.846 -5.790 -5.731 -5.670 -5.603 -5.533 -5.190 -4.767 -4.242 18 -6.112 -6.069 -6.029 -5.984 -5.935 -5.891 -5.838 -5.788 -5.732 -5.673 -5.612 -5.545 -5.474 -5.131 -4.706 -4.180 19 -6.147 -6.103 -6.063 -6.017 -5.969 -5.924 -5.871 -5.820 -5.764 -5.705 -5.643 -5.576 -5.506 -5.160 -4.732 -4.203 20 -6.149 -6.105 -6.065 -6.019 -5.970 -5.925 -5.873 -5.822 -5.765 -5.706 -5.644 -5.577 -5.506 -5.158 -4.728 -4.198 21 -6.090 -6.047 -6.007 -5.961 -5.912 -5.867 -5.815 -5.764 -5.708 -5.648 -5.586 -5.519 -5.448 -5.100 -4.668 -4.137 22 -6.065 -6.022 -5.982 -5.936 -5.888 -5.842 -5.790 -5.739 -5.683 -5.623 -5.561 -5.493 -5.422 -5.073 -4.640 -4.108 23 -6.041 -5.998 -5.958 -5.912 -5.864 -5.818 -5.766 -5.715 -5.659 -5.599 -5.536 -5.469 -5.397 -5.047 -4.612 -4.080 24 -6.042 -5.999 -5.959 -5.913 -5.864 -5.819 -5.766 -5.715 -5.659 -5.599 -5.536 -5.468 -5.397 -5.045 -4.608 -4.074 25 -6.021 -5.978 -5.937 -5.892 -5.843 -5.797 -5.745 -5.694 -5.637 -5.577 -5.515 -5.447 -5.375 -5.022 -4.584 -4.049 26 -6.023 -5.979 -5.939 -5.894 -5.845 -5.799 -5.746 -5.695 -5.638 -5.578 -5.515 -5.447 -5.375 -5.021 -4.581 -4.046 27 -6.002 -5.958 -5.918 -5.872 -5.823 -5.778 -5.725 -5.674 -5.617 -5.557 -5.493 -5.425 -5.353 -4.998 -4.557 -4.021 28 -6.015 -5.971 -5.931 -5.885 -5.836 -5.790 -5.737 -5.686 -5.629 -5.568 -5.505 -5.437 -5.364 -5.008 -4.565 -4.029 29 -5.977 -5.934 -5.893 -5.848 -5.799 -5.753 -5.700 -5.648 -5.592 -5.531 -5.468 -5.399 -5.326 -4.970 -4.527 -3.990 30 -5.970 -5.926 -5.886 -5.840 -5.791 -5.745 -5.692 -5.641 -5.584 -5.523 -5.460 -5.391 -5.318 -4.961 -4.516 -3.979 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 -2.343 -2.474 -2.594 -2.718 -2.855 -3.013 -3.192 -3.632 -4.249 -4.724 -4.859 -4.968 -------------------------------------------------------------------------------------------------- 3 -4.269 -4.163 -4.066 -3.967 -3.858 -3.731 -3.620 -3.297 -2.699 -2.372 -2.271 -2.193 4 -4.164 -4.030 -3.905 -3.776 -3.635 -3.476 -3.380 -3.137 -2.704 -2.429 -2.339 -2.267 5 -4.202 -4.092 -3.991 -3.887 -3.770 -3.640 -3.537 -3.284 -2.952 -2.693 -2.600 -2.529 6 -4.261 -4.170 -4.088 -4.007 -3.918 -3.819 -3.727 -3.494 -3.146 -2.796 -2.693 -2.615 7 -4.248 -4.176 -4.111 -4.048 -3.978 -3.901 -3.807 -3.552 -3.064 -2.633 -2.525 -2.441 8 -4.233 -4.172 -4.116 -4.059 -3.993 -3.911 -3.802 -3.506 -2.959 -2.471 -2.359 -2.273 9 -4.117 -4.044 -3.975 -3.903 -3.818 -3.714 -3.597 -3.300 -2.762 -2.298 -2.191 -2.109 10 -4.116 -4.044 -3.975 -3.901 -3.816 -3.710 -3.589 -3.268 -2.717 -2.241 -2.136 -2.055 11 -4.037 -3.959 -3.883 -3.804 -3.711 -3.597 -3.475 -3.153 -2.590 -2.109 -2.020 -1.939 12 -4.012 -3.929 -3.849 -3.764 -3.664 -3.543 -3.420 -3.092 -2.481 -2.042 -1.947 -1.877 13 -3.953 -3.866 -3.783 -3.694 -3.590 -3.464 -3.340 -3.011 -2.466 -2.109 -2.016 -1.943 14 -3.930 -3.837 -3.746 -3.648 -3.534 -3.395 -3.270 -2.960 -2.552 -2.280 -2.192 -2.122 15 -3.890 -3.802 -3.718 -3.630 -3.527 -3.405 -3.290 -3.011 -2.664 -2.371 -2.276 -2.202 16 -3.883 -3.799 -3.720 -3.640 -3.550 -3.450 -3.352 -3.105 -2.731 -2.363 -2.262 -2.182 17 -3.871 -3.804 -3.741 -3.678 -3.606 -3.522 -3.421 -3.166 -2.730 -2.237 -2.131 -2.050 18 -3.809 -3.742 -3.680 -3.617 -3.546 -3.462 -3.358 -3.084 -2.604 -2.194 -2.093 -2.012 19 -3.868 -3.813 -3.762 -3.708 -3.646 -3.568 -3.455 -3.137 -2.577 -2.103 -2.007 -1.929 20 -3.840 -3.776 -3.716 -3.654 -3.582 -3.494 -3.382 -3.086 -2.576 -2.132 -2.030 -1.952 21 -3.784 -3.721 -3.661 -3.599 -3.528 -3.440 -3.329 -3.024 -2.397 -2.046 -1.948 -1.869 22 -3.757 -3.695 -3.635 -3.573 -3.500 -3.408 -3.287 -2.943 -2.410 -2.063 -1.962 -1.882 23 -3.723 -3.656 -3.591 -3.523 -3.443 -3.343 -3.224 -2.926 -2.448 -2.056 -1.960 -1.883 24 -3.710 -3.642 -3.578 -3.510 -3.433 -3.339 -3.227 -2.926 -2.416 -2.057 -1.960 -1.883 25 -3.684 -3.617 -3.553 -3.484 -3.404 -3.303 -3.182 -2.865 -2.421 -2.025 -1.926 -1.848 26 -3.672 -3.600 -3.531 -3.459 -3.376 -3.275 -3.158 -2.863 -2.414 -2.048 -1.950 -1.871 27 -3.645 -3.574 -3.507 -3.438 -3.359 -3.264 -3.154 -2.867 -2.380 -1.955 -1.858 -1.782 28 -3.659 -3.590 -3.525 -3.457 -3.379 -3.284 -3.172 -2.881 -2.374 -1.922 -1.830 -1.756 29 -3.627 -3.559 -3.493 -3.425 -3.346 -3.248 -3.132 -2.828 -2.366 -1.975 -1.873 -1.792 30 -3.610 -3.540 -3.473 -3.402 -3.320 -3.220 -3.105 -2.808 -2.336 -1.939 -1.836 -1.754