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 (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 -5.199 -5.701 -6.198 -6.607 -6.887 -7.085 -7.254 -7.416 -7.570 -7.723 -7.880 -8.037 -8.209 -8.398 -8.620 -8.875 ---------------------------------------------------------------------------------------------------------------------------------- 2 6.647 6.303 5.966 5.690 5.506 5.379 5.274 5.173 5.077 4.985 4.890 4.792 4.688 4.570 4.430 4.270 3 6.435 6.087 5.757 5.492 5.314 5.190 5.085 4.984 4.888 4.792 4.696 4.598 4.491 4.371 4.229 4.064 4 6.426 6.076 5.743 5.475 5.295 5.170 5.065 4.966 4.871 4.776 4.682 4.585 4.478 4.360 4.218 4.054 5 6.426 6.072 5.735 5.464 5.282 5.157 5.051 4.951 4.856 4.762 4.669 4.573 4.468 4.350 4.210 4.046 6 6.447 6.089 5.747 5.473 5.290 5.164 5.058 4.958 4.863 4.769 4.675 4.581 4.477 4.360 4.221 4.058 7 6.427 6.064 5.719 5.442 5.257 5.131 5.025 4.924 4.829 4.735 4.641 4.546 4.443 4.327 4.188 4.025 8 6.408 6.041 5.693 5.414 5.228 5.101 4.994 4.893 4.798 4.704 4.610 4.515 4.411 4.295 4.157 3.994 9 6.360 5.991 5.640 5.359 5.172 5.044 4.938 4.837 4.741 4.647 4.553 4.458 4.353 4.236 4.097 3.934 10 6.369 5.997 5.642 5.359 5.171 5.043 4.936 4.834 4.739 4.644 4.550 4.454 4.350 4.233 4.093 3.930 11 6.334 5.961 5.604 5.319 5.130 5.001 4.894 4.792 4.696 4.601 4.506 4.411 4.305 4.188 4.047 3.883 12 6.336 5.961 5.602 5.315 5.125 4.996 4.887 4.785 4.689 4.594 4.498 4.403 4.297 4.179 4.038 3.873 13 6.310 5.933 5.572 5.284 5.093 4.963 4.854 4.751 4.654 4.559 4.463 4.367 4.261 4.143 4.001 3.836 14 6.314 5.936 5.573 5.284 5.092 4.961 4.851 4.748 4.651 4.555 4.459 4.362 4.256 4.137 3.995 3.829 15 6.286 5.907 5.543 5.253 5.059 4.928 4.818 4.714 4.616 4.520 4.424 4.327 4.220 4.101 3.958 3.791 16 6.289 5.909 5.544 5.252 5.058 4.925 4.815 4.710 4.612 4.516 4.419 4.322 4.215 4.095 3.952 3.785 17 6.256 5.876 5.510 5.217 5.022 4.889 4.778 4.673 4.574 4.478 4.380 4.283 4.175 4.055 3.912 3.744 18 6.213 5.833 5.466 5.172 4.976 4.842 4.731 4.626 4.527 4.430 4.332 4.234 4.126 4.006 3.862 3.694 19 6.240 5.859 5.491 5.195 4.998 4.864 4.752 4.646 4.547 4.449 4.351 4.253 4.145 4.025 3.880 3.712 20 6.243 5.861 5.492 5.195 4.997 4.862 4.750 4.643 4.544 4.446 4.348 4.249 4.141 4.020 3.876 3.707 21 6.199 5.817 5.447 5.150 4.951 4.816 4.703 4.596 4.496 4.398 4.299 4.201 4.092 3.971 3.826 3.658 22 6.180 5.798 5.427 5.129 4.930 4.794 4.681 4.574 4.473 4.375 4.276 4.177 4.068 3.947 3.802 3.633 23 6.162 5.779 5.408 5.109 4.909 4.773 4.659 4.552 4.451 4.352 4.253 4.154 4.045 3.923 3.778 3.609 24 6.163 5.780 5.408 5.108 4.908 4.771 4.657 4.549 4.448 4.349 4.249 4.150 4.041 3.919 3.774 3.605 25 6.146 5.763 5.390 5.090 4.889 4.752 4.637 4.529 4.428 4.329 4.229 4.129 4.020 3.898 3.753 3.584 26 6.148 5.765 5.391 5.090 4.888 4.751 4.636 4.527 4.426 4.326 4.226 4.127 4.017 3.895 3.750 3.581 27 6.132 5.748 5.374 5.072 4.869 4.731 4.616 4.507 4.406 4.306 4.206 4.106 3.996 3.874 3.729 3.560 28 6.142 5.758 5.383 5.080 4.878 4.739 4.624 4.515 4.413 4.313 4.212 4.113 4.003 3.881 3.735 3.566 29 6.112 5.728 5.353 5.049 4.846 4.707 4.592 4.482 4.380 4.280 4.179 4.080 3.970 3.847 3.701 3.533 30 6.107 5.722 5.346 5.042 4.839 4.700 4.584 4.474 4.372 4.271 4.170 4.070 3.960 3.838 3.692 3.523 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 -9.177 -9.540 -9.970 -10.483 -11.091 -11.780 -12.540 -13.358 -14.569 -15.077 -15.191 -15.299 -15.339 -15.389 -15.440 -15.492 ---------------------------------------------------------------------------------------------------------------------------------- 2 4.080 3.843 3.552 3.210 2.808 2.311 1.646 0.832 -0.128 -1.271 -1.562 -1.974 -2.018 -2.145 -2.291 -2.448 3 3.868 3.606 3.194 2.615 2.079 1.621 1.093 0.468 -0.321 -0.652 -0.737 -0.815 -0.846 -0.884 -0.922 -0.962 4 3.858 3.601 3.234 2.786 2.342 1.908 1.419 0.878 0.079 -0.351 -0.456 -0.570 -0.601 -0.647 -0.696 -0.747 5 3.851 3.598 3.263 2.896 2.524 2.106 1.609 1.019 -0.085 -0.736 -0.851 -0.965 -0.997 -1.041 -1.087 -1.134 6 3.863 3.614 3.293 2.926 2.511 2.016 1.472 0.847 -0.274 -0.886 -0.982 -1.072 -1.103 -1.142 -1.183 -1.224 7 3.830 3.587 3.281 2.915 2.482 1.977 1.377 0.691 -0.495 -0.996 -1.084 -1.168 -1.198 -1.236 -1.276 -1.316 8 3.799 3.555 3.243 2.834 2.337 1.780 1.201 0.545 -0.661 -1.069 -1.156 -1.239 -1.269 -1.308 -1.348 -1.389 9 3.738 3.488 3.148 2.698 2.194 1.666 1.112 0.465 -0.774 -1.167 -1.261 -1.359 -1.389 -1.432 -1.477 -1.525 10 3.733 3.484 3.144 2.682 2.149 1.602 0.994 0.366 -0.837 -1.260 -1.372 -1.517 -1.549 -1.606 -1.669 -1.739 11 3.686 3.432 3.063 2.558 2.011 1.498 0.919 0.298 -0.881 -1.213 -1.297 -1.375 -1.406 -1.443 -1.482 -1.521 12 3.676 3.415 2.999 2.424 1.922 1.474 0.947 0.360 -0.426 -0.768 -0.853 -0.936 -0.964 -1.002 -1.040 -1.080 13 3.638 3.382 3.017 2.555 2.099 1.636 1.142 0.599 -0.385 -0.851 -0.945 -1.041 -1.070 -1.109 -1.151 -1.193 14 3.631 3.373 3.023 2.610 2.191 1.747 1.227 0.629 -0.437 -0.883 -0.979 -1.083 -1.112 -1.156 -1.202 -1.250 15 3.592 3.341 3.026 2.686 2.302 1.827 1.259 0.609 -0.499 -0.992 -1.103 -1.228 -1.259 -1.307 -1.359 -1.413 16 3.585 3.338 3.041 2.705 2.297 1.799 1.217 0.551 -0.559 -1.137 -1.259 -1.390 -1.422 -1.470 -1.521 -1.573 17 3.544 3.302 3.013 2.642 2.161 1.638 1.058 0.421 -0.646 -1.278 -1.395 -1.511 -1.542 -1.587 -1.633 -1.680 18 3.493 3.250 2.961 2.605 2.154 1.640 1.023 0.365 -0.759 -1.414 -1.518 -1.614 -1.645 -1.685 -1.727 -1.770 19 3.512 3.258 2.911 2.471 2.008 1.525 0.983 0.335 -0.802 -1.428 -1.520 -1.605 -1.636 -1.675 -1.714 -1.755 20 3.506 3.265 2.975 2.594 2.092 1.542 0.953 0.302 -0.647 -0.986 -1.067 -1.144 -1.173 -1.210 -1.247 -1.285 21 3.457 3.201 2.854 2.435 2.001 1.510 0.966 0.369 -0.590 -1.015 -1.101 -1.184 -1.213 -1.251 -1.290 -1.330 22 3.432 3.177 2.832 2.432 2.026 1.560 0.989 0.376 -0.625 -1.051 -1.137 -1.221 -1.250 -1.288 -1.327 -1.367 23 3.408 3.164 2.864 2.479 2.021 1.533 0.982 0.360 -0.658 -1.085 -1.172 -1.257 -1.287 -1.325 -1.365 -1.406 24 3.403 3.154 2.831 2.448 2.025 1.541 0.985 0.352 -0.683 -1.106 -1.193 -1.281 -1.310 -1.349 -1.390 -1.432 25 3.382 3.132 2.820 2.453 2.013 1.524 0.980 0.345 -0.726 -1.124 -1.211 -1.296 -1.326 -1.364 -1.404 -1.446 26 3.379 3.133 2.830 2.464 2.029 1.527 0.960 0.325 -0.723 -1.153 -1.243 -1.336 -1.365 -1.405 -1.448 -1.492 27 3.358 3.111 2.796 2.396 1.945 1.469 0.926 0.284 -0.780 -1.178 -1.269 -1.363 -1.392 -1.433 -1.476 -1.521 28 3.364 3.118 2.800 2.382 1.920 1.449 0.903 0.265 -0.791 -1.194 -1.289 -1.390 -1.419 -1.461 -1.506 -1.553 29 3.331 3.089 2.799 2.437 1.978 1.426 0.775 0.038 -0.866 -1.258 -1.351 -1.448 -1.478 -1.522 -1.569 -1.618 30 3.322 3.079 2.784 2.407 1.928 1.346 0.676 0.019 -0.871 -1.264 -1.362 -1.469 -1.499 -1.542 -1.588 -1.635 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 -15.545 -15.598 -15.650 -15.701 -15.753 -15.813 -15.863 -15.913 -15.900 -15.886 -15.870 -15.854 -15.838 -15.860 -15.860 -15.796 ---------------------------------------------------------------------------------------------------------------------------------- 2 -2.612 -2.780 -2.954 -3.119 -3.284 -3.508 -3.668 -3.831 -3.585 -3.353 -3.134 -2.928 -2.729 -2.736 -2.633 -2.237 3 -1.002 -1.042 -1.082 -1.122 -1.162 -1.208 -1.248 -1.287 -1.277 -1.267 -1.257 -1.246 -1.236 -1.254 -1.256 -1.212 4 -0.799 -0.852 -0.904 -0.956 -1.009 -1.075 -1.126 -1.177 -1.137 -1.099 -1.062 -1.026 -0.995 -1.009 -0.998 -0.916 5 -1.180 -1.225 -1.270 -1.314 -1.357 -1.408 -1.449 -1.490 -1.476 -1.460 -1.443 -1.424 -1.405 -1.422 -1.417 -1.343 6 -1.266 -1.307 -1.348 -1.389 -1.430 -1.478 -1.517 -1.557 -1.545 -1.532 -1.519 -1.506 -1.493 -1.510 -1.510 -1.457 7 -1.357 -1.398 -1.439 -1.480 -1.522 -1.571 -1.611 -1.652 -1.636 -1.622 -1.608 -1.595 -1.582 -1.599 -1.600 -1.552 8 -1.431 -1.473 -1.515 -1.556 -1.598 -1.648 -1.689 -1.731 -1.713 -1.696 -1.681 -1.666 -1.653 -1.670 -1.669 -1.620 9 -1.573 -1.623 -1.674 -1.725 -1.777 -1.843 -1.896 -1.950 -1.905 -1.867 -1.835 -1.806 -1.782 -1.798 -1.792 -1.728 10 -1.813 -1.891 -1.973 -2.054 -2.140 -2.258 -2.348 -2.442 -2.321 -2.217 -2.130 -2.056 -1.992 -2.005 -1.980 -1.861 11 -1.561 -1.601 -1.641 -1.681 -1.721 -1.767 -1.806 -1.845 -1.835 -1.824 -1.813 -1.803 -1.793 -1.810 -1.812 -1.768 12 -1.120 -1.162 -1.203 -1.244 -1.287 -1.337 -1.379 -1.420 -1.400 -1.381 -1.363 -1.347 -1.332 -1.348 -1.347 -1.297 13 -1.237 -1.286 -1.335 -1.383 -1.433 -1.494 -1.543 -1.593 -1.556 -1.523 -1.492 -1.464 -1.439 -1.454 -1.447 -1.383 14 -1.299 -1.349 -1.398 -1.447 -1.497 -1.559 -1.607 -1.656 -1.619 -1.584 -1.552 -1.521 -1.494 -1.508 -1.500 -1.428 15 -1.468 -1.523 -1.577 -1.630 -1.683 -1.748 -1.798 -1.847 -1.812 -1.775 -1.738 -1.700 -1.664 -1.678 -1.664 -1.569 16 -1.624 -1.675 -1.724 -1.772 -1.820 -1.876 -1.920 -1.964 -1.942 -1.919 -1.893 -1.866 -1.837 -1.853 -1.842 -1.748 17 -1.726 -1.772 -1.817 -1.861 -1.905 -1.956 -1.997 -2.038 -2.022 -2.005 -1.987 -1.967 -1.947 -1.963 -1.958 -1.882 18 -1.812 -1.855 -1.897 -1.939 -1.981 -2.030 -2.071 -2.111 -2.096 -2.082 -2.067 -2.052 -2.037 -2.054 -2.053 -1.996 19 -1.795 -1.836 -1.876 -1.916 -1.956 -2.003 -2.042 -2.082 -2.071 -2.060 -2.048 -2.037 -2.026 -2.044 -2.045 -1.997 20 -1.324 -1.363 -1.401 -1.440 -1.479 -1.526 -1.564 -1.603 -1.589 -1.576 -1.563 -1.551 -1.540 -1.557 -1.557 -1.512 21 -1.370 -1.410 -1.450 -1.490 -1.530 -1.578 -1.618 -1.657 -1.642 -1.628 -1.614 -1.601 -1.588 -1.605 -1.605 -1.556 22 -1.408 -1.448 -1.489 -1.529 -1.570 -1.619 -1.658 -1.699 -1.682 -1.666 -1.651 -1.637 -1.624 -1.640 -1.640 -1.591 23 -1.447 -1.489 -1.530 -1.572 -1.614 -1.664 -1.705 -1.747 -1.727 -1.709 -1.692 -1.675 -1.661 -1.677 -1.676 -1.625 24 -1.474 -1.517 -1.560 -1.603 -1.646 -1.698 -1.740 -1.783 -1.760 -1.739 -1.719 -1.701 -1.684 -1.700 -1.698 -1.644 25 -1.488 -1.530 -1.572 -1.615 -1.657 -1.709 -1.751 -1.793 -1.771 -1.752 -1.733 -1.716 -1.700 -1.716 -1.715 -1.663 26 -1.537 -1.582 -1.628 -1.673 -1.719 -1.775 -1.820 -1.866 -1.836 -1.809 -1.784 -1.762 -1.741 -1.757 -1.752 -1.693 27 -1.566 -1.613 -1.659 -1.705 -1.752 -1.810 -1.856 -1.903 -1.871 -1.842 -1.816 -1.792 -1.770 -1.786 -1.781 -1.720 28 -1.601 -1.649 -1.698 -1.747 -1.797 -1.859 -1.908 -1.957 -1.920 -1.886 -1.855 -1.826 -1.800 -1.815 -1.808 -1.740 29 -1.669 -1.720 -1.772 -1.822 -1.873 -1.937 -1.986 -2.036 -1.998 -1.961 -1.927 -1.895 -1.866 -1.881 -1.871 -1.796 30 -1.684 -1.733 -1.782 -1.831 -1.882 -1.946 -1.996 -2.046 -2.007 -1.971 -1.936 -1.905 -1.877 -1.892 -1.883 -1.811 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 qcvz -15.773 -15.757 -15.749 -15.726 -15.711 -15.705 -15.682 -15.667 -15.662 -15.702 -15.627 -15.622 -15.661 ---------------------------------------------------------------------------------------------------------- 2 -2.060 -1.922 -1.826 -1.681 -1.578 -1.510 -1.401 -1.326 -1.280 -1.340 -1.148 -1.116 -1.165 3 -1.198 -1.189 -1.186 -1.172 -1.164 -1.163 -1.149 -1.142 -1.141 -1.171 -1.122 -1.122 -1.151 4 -0.885 -0.862 -0.850 -0.823 -0.806 -0.798 -0.775 -0.762 -0.756 -0.788 -0.727 -0.723 -0.754 5 -1.310 -1.283 -1.264 -1.224 -1.193 -1.173 -1.131 -1.100 -1.081 -1.122 -1.011 -0.994 -1.033 6 -1.437 -1.421 -1.412 -1.388 -1.370 -1.360 -1.331 -1.310 -1.298 -1.335 -1.241 -1.226 -1.264 7 -1.536 -1.525 -1.520 -1.503 -1.492 -1.488 -1.471 -1.459 -1.455 -1.487 -1.423 -1.417 -1.450 8 -1.604 -1.594 -1.589 -1.573 -1.564 -1.561 -1.547 -1.538 -1.536 -1.567 -1.513 -1.511 -1.541 9 -1.707 -1.692 -1.685 -1.667 -1.655 -1.651 -1.635 -1.625 -1.623 -1.653 -1.600 -1.598 -1.627 10 -1.819 -1.790 -1.773 -1.743 -1.723 -1.714 -1.691 -1.677 -1.673 -1.705 -1.645 -1.642 -1.672 11 -1.754 -1.745 -1.742 -1.728 -1.720 -1.718 -1.705 -1.698 -1.697 -1.726 -1.678 -1.677 -1.706 12 -1.280 -1.269 -1.264 -1.248 -1.238 -1.235 -1.220 -1.212 -1.210 -1.239 -1.188 -1.187 -1.215 13 -1.361 -1.346 -1.337 -1.316 -1.302 -1.296 -1.276 -1.262 -1.257 -1.288 -1.223 -1.217 -1.249 14 -1.401 -1.382 -1.372 -1.349 -1.334 -1.328 -1.308 -1.296 -1.291 -1.322 -1.263 -1.259 -1.289 15 -1.531 -1.503 -1.486 -1.453 -1.431 -1.420 -1.393 -1.376 -1.368 -1.401 -1.332 -1.326 -1.357 16 -1.705 -1.671 -1.648 -1.604 -1.572 -1.553 -1.513 -1.486 -1.472 -1.509 -1.417 -1.406 -1.441 17 -1.848 -1.819 -1.800 -1.759 -1.727 -1.707 -1.664 -1.633 -1.614 -1.656 -1.546 -1.530 -1.568 18 -1.973 -1.955 -1.943 -1.914 -1.892 -1.878 -1.843 -1.816 -1.799 -1.840 -1.729 -1.710 -1.752 19 -1.980 -1.968 -1.962 -1.942 -1.928 -1.921 -1.897 -1.879 -1.869 -1.906 -1.816 -1.803 -1.842 20 -1.497 -1.487 -1.483 -1.468 -1.459 -1.457 -1.443 -1.435 -1.434 -1.463 -1.413 -1.412 -1.440 21 -1.540 -1.528 -1.523 -1.506 -1.495 -1.490 -1.473 -1.461 -1.457 -1.488 -1.427 -1.422 -1.453 22 -1.574 -1.563 -1.557 -1.540 -1.529 -1.525 -1.508 -1.497 -1.493 -1.524 -1.465 -1.460 -1.491 23 -1.608 -1.596 -1.591 -1.574 -1.563 -1.559 -1.542 -1.532 -1.528 -1.559 -1.501 -1.497 -1.528 24 -1.626 -1.613 -1.607 -1.590 -1.579 -1.575 -1.558 -1.548 -1.545 -1.575 -1.519 -1.515 -1.545 25 -1.646 -1.634 -1.629 -1.612 -1.602 -1.598 -1.583 -1.574 -1.571 -1.601 -1.547 -1.545 -1.574 26 -1.672 -1.657 -1.650 -1.631 -1.619 -1.614 -1.597 -1.586 -1.582 -1.613 -1.555 -1.552 -1.582 27 -1.699 -1.684 -1.677 -1.658 -1.646 -1.642 -1.625 -1.615 -1.612 -1.642 -1.588 -1.585 -1.615 28 -1.716 -1.699 -1.690 -1.669 -1.656 -1.650 -1.632 -1.621 -1.618 -1.648 -1.592 -1.590 -1.619 29 -1.769 -1.749 -1.739 -1.716 -1.703 -1.698 -1.680 -1.669 -1.665 -1.695 -1.639 -1.636 -1.665 30 -1.785 -1.766 -1.756 -1.733 -1.718 -1.711 -1.691 -1.679 -1.675 -1.706 -1.648 -1.646 -1.675 ========================================================================================================================================== 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 1.434 1.034 0.641 0.319 0.095 -0.067 -0.205 -0.337 -0.464 -0.591 -0.722 -0.855 -0.999 -1.156 -1.337 -1.546 ---------------------------------------------------------------------------------------------------------------------------------- 2 -7.196 -6.955 -6.724 -6.534 -6.407 -6.317 -6.243 -6.172 -6.104 -6.037 -5.968 -5.895 -5.819 -5.734 -5.634 -5.520 3 -6.984 -6.739 -6.515 -6.337 -6.216 -6.128 -6.054 -5.983 -5.914 -5.845 -5.775 -5.701 -5.622 -5.535 -5.433 -5.315 4 -6.976 -6.728 -6.501 -6.319 -6.196 -6.108 -6.034 -5.965 -5.897 -5.829 -5.760 -5.687 -5.610 -5.523 -5.422 -5.304 5 -6.975 -6.724 -6.493 -6.308 -6.183 -6.095 -6.020 -5.950 -5.882 -5.815 -5.747 -5.676 -5.599 -5.514 -5.414 -5.297 6 -6.997 -6.741 -6.505 -6.318 -6.191 -6.102 -6.027 -5.957 -5.889 -5.821 -5.754 -5.683 -5.608 -5.524 -5.425 -5.308 7 -6.976 -6.716 -6.477 -6.286 -6.159 -6.069 -5.994 -5.923 -5.855 -5.788 -5.720 -5.649 -5.574 -5.491 -5.392 -5.276 8 -6.957 -6.694 -6.451 -6.258 -6.129 -6.039 -5.963 -5.893 -5.825 -5.757 -5.689 -5.618 -5.542 -5.459 -5.360 -5.244 9 -6.910 -6.644 -6.398 -6.204 -6.074 -5.983 -5.907 -5.836 -5.767 -5.699 -5.631 -5.560 -5.484 -5.400 -5.301 -5.185 10 -6.918 -6.649 -6.400 -6.204 -6.073 -5.981 -5.905 -5.833 -5.765 -5.697 -5.628 -5.557 -5.481 -5.396 -5.297 -5.180 11 -6.884 -6.613 -6.362 -6.164 -6.032 -5.939 -5.863 -5.791 -5.722 -5.653 -5.584 -5.513 -5.436 -5.351 -5.251 -5.134 12 -6.886 -6.613 -6.360 -6.160 -6.027 -5.934 -5.856 -5.784 -5.715 -5.646 -5.577 -5.505 -5.428 -5.343 -5.242 -5.124 13 -6.859 -6.585 -6.330 -6.129 -5.994 -5.901 -5.823 -5.750 -5.681 -5.611 -5.542 -5.470 -5.392 -5.306 -5.205 -5.086 14 -6.864 -6.588 -6.331 -6.128 -5.993 -5.899 -5.820 -5.747 -5.677 -5.607 -5.537 -5.465 -5.387 -5.301 -5.199 -5.079 15 -6.835 -6.559 -6.302 -6.097 -5.961 -5.866 -5.787 -5.713 -5.643 -5.573 -5.502 -5.430 -5.351 -5.265 -5.162 -5.042 16 -6.839 -6.561 -6.302 -6.096 -5.959 -5.863 -5.784 -5.709 -5.639 -5.568 -5.497 -5.425 -5.346 -5.259 -5.156 -5.035 17 -6.806 -6.528 -6.268 -6.061 -5.923 -5.827 -5.747 -5.672 -5.601 -5.530 -5.459 -5.386 -5.307 -5.219 -5.115 -4.994 18 -6.763 -6.485 -6.224 -6.016 -5.877 -5.780 -5.700 -5.625 -5.553 -5.482 -5.410 -5.337 -5.257 -5.169 -5.065 -4.944 19 -6.790 -6.511 -6.249 -6.040 -5.900 -5.802 -5.721 -5.645 -5.573 -5.502 -5.430 -5.356 -5.276 -5.188 -5.084 -4.962 20 -6.792 -6.513 -6.250 -6.039 -5.899 -5.800 -5.719 -5.643 -5.570 -5.498 -5.426 -5.352 -5.272 -5.184 -5.079 -4.958 21 -6.748 -6.469 -6.205 -5.994 -5.853 -5.754 -5.672 -5.595 -5.523 -5.451 -5.378 -5.304 -5.223 -5.135 -5.030 -4.908 22 -6.730 -6.450 -6.185 -5.974 -5.832 -5.732 -5.650 -5.573 -5.500 -5.427 -5.354 -5.280 -5.199 -5.111 -5.006 -4.883 23 -6.711 -6.431 -6.166 -5.953 -5.811 -5.711 -5.628 -5.551 -5.477 -5.405 -5.331 -5.257 -5.176 -5.087 -4.982 -4.860 24 -6.712 -6.432 -6.166 -5.952 -5.809 -5.709 -5.626 -5.548 -5.474 -5.401 -5.328 -5.253 -5.172 -5.083 -4.978 -4.855 25 -6.696 -6.415 -6.149 -5.934 -5.790 -5.690 -5.606 -5.528 -5.454 -5.381 -5.307 -5.232 -5.151 -5.062 -4.956 -4.834 26 -6.698 -6.417 -6.149 -5.934 -5.790 -5.689 -5.605 -5.526 -5.452 -5.379 -5.305 -5.229 -5.148 -5.059 -4.953 -4.831 27 -6.681 -6.400 -6.132 -5.916 -5.771 -5.670 -5.585 -5.507 -5.432 -5.358 -5.284 -5.209 -5.128 -5.038 -4.932 -4.810 28 -6.692 -6.410 -6.141 -5.925 -5.779 -5.677 -5.593 -5.514 -5.439 -5.365 -5.291 -5.215 -5.134 -5.044 -4.939 -4.816 29 -6.662 -6.380 -6.111 -5.894 -5.748 -5.646 -5.561 -5.481 -5.406 -5.333 -5.258 -5.182 -5.101 -5.011 -4.905 -4.783 30 -6.656 -6.374 -6.104 -5.887 -5.740 -5.638 -5.553 -5.473 -5.398 -5.324 -5.249 -5.173 -5.092 -5.002 -4.896 -4.773 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 -1.792 -2.087 -2.437 -2.854 -3.352 -3.918 -4.548 -5.232 -6.170 -6.549 -6.644 -6.729 -6.766 -6.810 -6.855 -6.900 ---------------------------------------------------------------------------------------------------------------------------------- 2 -5.386 -5.217 -5.007 -4.761 -4.470 -4.095 -3.560 -2.881 -2.193 -1.179 -0.908 -0.518 -0.477 -0.356 -0.217 -0.067 3 -5.175 -4.980 -4.649 -4.166 -3.741 -3.405 -3.007 -2.516 -2.000 -1.798 -1.733 -1.678 -1.649 -1.618 -1.586 -1.553 4 -5.164 -4.975 -4.689 -4.337 -4.004 -3.693 -3.333 -2.927 -2.400 -2.099 -2.014 -1.922 -1.894 -1.855 -1.812 -1.768 5 -5.157 -4.972 -4.719 -4.447 -4.186 -3.890 -3.523 -3.067 -2.236 -1.714 -1.618 -1.528 -1.498 -1.460 -1.421 -1.381 6 -5.169 -4.988 -4.748 -4.477 -4.173 -3.800 -3.386 -2.896 -2.047 -1.564 -1.488 -1.421 -1.393 -1.360 -1.325 -1.291 7 -5.136 -4.961 -4.736 -4.466 -4.143 -3.762 -3.291 -2.740 -1.826 -1.454 -1.385 -1.325 -1.297 -1.265 -1.232 -1.198 8 -5.105 -4.929 -4.698 -4.385 -3.999 -3.564 -3.114 -2.593 -1.660 -1.381 -1.314 -1.254 -1.226 -1.194 -1.160 -1.126 9 -5.045 -4.862 -4.603 -4.249 -3.856 -3.451 -3.026 -2.513 -1.547 -1.283 -1.209 -1.134 -1.106 -1.069 -1.031 -0.990 10 -5.039 -4.859 -4.599 -4.233 -3.811 -3.386 -2.908 -2.415 -1.484 -1.190 -1.097 -0.976 -0.946 -0.896 -0.839 -0.776 11 -4.993 -4.806 -4.518 -4.109 -3.673 -3.282 -2.833 -2.346 -1.440 -1.237 -1.172 -1.118 -1.089 -1.058 -1.026 -0.994 12 -4.982 -4.789 -4.455 -3.974 -3.584 -3.259 -2.860 -2.409 -1.895 -1.682 -1.617 -1.557 -1.531 -1.500 -1.468 -1.435 13 -4.944 -4.756 -4.473 -4.106 -3.761 -3.420 -3.056 -2.648 -1.936 -1.599 -1.524 -1.451 -1.425 -1.392 -1.357 -1.322 14 -4.937 -4.747 -4.478 -4.161 -3.853 -3.532 -3.141 -2.677 -1.884 -1.567 -1.490 -1.410 -1.383 -1.346 -1.306 -1.265 15 -4.899 -4.715 -4.481 -4.237 -3.964 -3.611 -3.173 -2.657 -1.822 -1.458 -1.367 -1.264 -1.236 -1.194 -1.149 -1.102 16 -4.892 -4.712 -4.496 -4.256 -3.958 -3.584 -3.131 -2.600 -1.762 -1.313 -1.210 -1.103 -1.073 -1.031 -0.987 -0.942 17 -4.850 -4.676 -4.468 -4.193 -3.823 -3.423 -2.972 -2.469 -1.675 -1.172 -1.074 -0.982 -0.953 -0.915 -0.875 -0.835 18 -4.800 -4.624 -4.416 -4.156 -3.816 -3.425 -2.936 -2.414 -1.562 -1.036 -0.952 -0.879 -0.851 -0.817 -0.781 -0.745 19 -4.818 -4.633 -4.366 -4.022 -3.670 -3.309 -2.897 -2.384 -1.519 -1.022 -0.949 -0.887 -0.859 -0.827 -0.794 -0.760 20 -4.812 -4.639 -4.430 -4.145 -3.754 -3.327 -2.867 -2.351 -1.674 -1.464 -1.403 -1.348 -1.322 -1.292 -1.261 -1.229 21 -4.763 -4.576 -4.309 -3.986 -3.663 -3.295 -2.880 -2.418 -1.731 -1.435 -1.368 -1.309 -1.282 -1.250 -1.218 -1.185 22 -4.738 -4.551 -4.287 -3.983 -3.688 -3.345 -2.903 -2.424 -1.696 -1.399 -1.332 -1.272 -1.245 -1.214 -1.181 -1.148 23 -4.714 -4.539 -4.319 -4.030 -3.683 -3.318 -2.896 -2.408 -1.662 -1.365 -1.297 -1.235 -1.208 -1.176 -1.143 -1.109 24 -4.709 -4.528 -4.286 -3.999 -3.687 -3.326 -2.899 -2.401 -1.638 -1.344 -1.276 -1.212 -1.185 -1.152 -1.118 -1.083 25 -4.688 -4.507 -4.275 -4.004 -3.675 -3.308 -2.894 -2.393 -1.595 -1.326 -1.259 -1.196 -1.169 -1.137 -1.104 -1.069 26 -4.685 -4.507 -4.285 -4.015 -3.691 -3.312 -2.874 -2.374 -1.598 -1.297 -1.226 -1.157 -1.130 -1.096 -1.060 -1.023 27 -4.664 -4.485 -4.252 -3.947 -3.607 -3.254 -2.839 -2.333 -1.541 -1.272 -1.201 -1.130 -1.103 -1.068 -1.032 -0.994 28 -4.670 -4.492 -4.255 -3.933 -3.582 -3.234 -2.817 -2.314 -1.530 -1.256 -1.181 -1.103 -1.076 -1.040 -1.002 -0.962 29 -4.637 -4.463 -4.254 -3.988 -3.640 -3.211 -2.689 -2.087 -1.455 -1.192 -1.119 -1.045 -1.018 -0.980 -0.939 -0.897 30 -4.628 -4.453 -4.239 -3.958 -3.590 -3.130 -2.589 -2.067 -1.450 -1.186 -1.107 -1.023 -0.997 -0.959 -0.921 -0.880 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 -6.946 -6.992 -7.037 -7.079 -7.121 -7.170 -7.213 -7.255 -7.253 -7.249 -7.244 -7.239 -7.232 -7.253 -7.257 -7.209 ---------------------------------------------------------------------------------------------------------------------------------- 2 0.090 0.251 0.419 0.574 0.729 0.942 1.095 1.251 1.016 0.794 0.585 0.390 0.200 0.206 0.107 -0.272 3 -1.520 -1.487 -1.453 -1.423 -1.393 -1.357 -1.325 -1.293 -1.293 -1.292 -1.292 -1.292 -1.293 -1.275 -1.270 -1.297 4 -1.723 -1.676 -1.631 -1.589 -1.546 -1.491 -1.447 -1.403 -1.432 -1.460 -1.487 -1.512 -1.535 -1.520 -1.528 -1.593 5 -1.342 -1.303 -1.265 -1.232 -1.197 -1.158 -1.124 -1.090 -1.094 -1.099 -1.106 -1.114 -1.124 -1.108 -1.109 -1.166 6 -1.256 -1.221 -1.187 -1.156 -1.125 -1.088 -1.056 -1.023 -1.025 -1.027 -1.029 -1.032 -1.036 -1.019 -1.016 -1.052 7 -1.165 -1.130 -1.096 -1.065 -1.033 -0.995 -0.962 -0.928 -0.933 -0.937 -0.941 -0.944 -0.947 -0.930 -0.926 -0.957 8 -1.091 -1.056 -1.021 -0.989 -0.956 -0.918 -0.884 -0.849 -0.857 -0.863 -0.868 -0.872 -0.877 -0.860 -0.856 -0.889 9 -0.949 -0.906 -0.861 -0.820 -0.778 -0.723 -0.677 -0.630 -0.664 -0.692 -0.714 -0.732 -0.747 -0.732 -0.734 -0.781 10 -0.709 -0.638 -0.563 -0.491 -0.415 -0.308 -0.225 -0.138 -0.249 -0.341 -0.419 -0.483 -0.537 -0.524 -0.546 -0.648 11 -0.961 -0.928 -0.894 -0.865 -0.834 -0.799 -0.767 -0.735 -0.735 -0.735 -0.735 -0.736 -0.737 -0.719 -0.714 -0.741 12 -1.402 -1.367 -1.332 -1.301 -1.268 -1.228 -1.194 -1.160 -1.170 -1.178 -1.185 -1.192 -1.197 -1.181 -1.179 -1.212 13 -1.285 -1.243 -1.201 -1.162 -1.122 -1.071 -1.030 -0.987 -1.013 -1.036 -1.056 -1.074 -1.090 -1.075 -1.078 -1.126 14 -1.223 -1.180 -1.137 -1.098 -1.058 -1.007 -0.966 -0.924 -0.950 -0.975 -0.997 -1.017 -1.035 -1.021 -1.026 -1.081 15 -1.054 -1.006 -0.958 -0.915 -0.871 -0.818 -0.775 -0.732 -0.758 -0.784 -0.811 -0.838 -0.866 -0.851 -0.862 -0.940 16 -0.898 -0.854 -0.811 -0.773 -0.735 -0.690 -0.653 -0.616 -0.627 -0.640 -0.655 -0.672 -0.692 -0.677 -0.684 -0.761 17 -0.796 -0.757 -0.718 -0.684 -0.650 -0.610 -0.576 -0.542 -0.547 -0.554 -0.562 -0.571 -0.582 -0.566 -0.568 -0.627 18 -0.710 -0.674 -0.638 -0.606 -0.574 -0.536 -0.502 -0.469 -0.473 -0.477 -0.482 -0.486 -0.492 -0.475 -0.472 -0.513 19 -0.727 -0.693 -0.659 -0.629 -0.598 -0.563 -0.531 -0.498 -0.499 -0.499 -0.500 -0.501 -0.503 -0.486 -0.481 -0.512 20 -1.198 -1.166 -1.134 -1.105 -1.075 -1.040 -1.009 -0.977 -0.980 -0.983 -0.985 -0.987 -0.989 -0.973 -0.968 -0.997 21 -1.152 -1.119 -1.085 -1.055 -1.024 -0.988 -0.955 -0.923 -0.927 -0.931 -0.935 -0.938 -0.941 -0.925 -0.921 -0.953 22 -1.114 -1.080 -1.046 -1.016 -0.984 -0.947 -0.914 -0.881 -0.888 -0.893 -0.897 -0.901 -0.905 -0.889 -0.886 -0.918 23 -1.075 -1.040 -1.005 -0.973 -0.941 -0.902 -0.868 -0.833 -0.843 -0.850 -0.857 -0.863 -0.868 -0.853 -0.850 -0.884 24 -1.048 -1.011 -0.975 -0.942 -0.909 -0.868 -0.833 -0.797 -0.810 -0.820 -0.830 -0.838 -0.845 -0.830 -0.828 -0.865 25 -1.034 -0.999 -0.963 -0.931 -0.897 -0.857 -0.822 -0.787 -0.798 -0.807 -0.816 -0.823 -0.829 -0.813 -0.811 -0.846 26 -0.985 -0.946 -0.907 -0.872 -0.836 -0.791 -0.753 -0.714 -0.733 -0.750 -0.764 -0.777 -0.788 -0.773 -0.774 -0.816 27 -0.956 -0.916 -0.876 -0.840 -0.803 -0.756 -0.717 -0.677 -0.699 -0.717 -0.733 -0.746 -0.759 -0.744 -0.745 -0.789 28 -0.921 -0.879 -0.837 -0.798 -0.758 -0.707 -0.665 -0.623 -0.649 -0.673 -0.694 -0.713 -0.730 -0.715 -0.718 -0.769 29 -0.853 -0.808 -0.764 -0.723 -0.681 -0.629 -0.587 -0.543 -0.571 -0.597 -0.621 -0.643 -0.663 -0.649 -0.654 -0.713 30 -0.838 -0.796 -0.753 -0.714 -0.672 -0.620 -0.577 -0.534 -0.562 -0.588 -0.612 -0.634 -0.652 -0.638 -0.643 -0.698 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 rho -7.195 -7.186 -7.183 -7.168 -7.160 -7.158 -7.144 -7.136 -7.135 -7.170 -7.113 -7.113 -7.146 ---------------------------------------------------------------------------------------------------------- 2 -0.441 -0.572 -0.663 -0.799 -0.896 -0.959 -1.060 -1.128 -1.170 -1.115 -1.289 -1.316 -1.272 3 -1.302 -1.304 -1.302 -1.308 -1.309 -1.306 -1.311 -1.312 -1.309 -1.284 -1.314 -1.310 -1.286 4 -1.616 -1.632 -1.639 -1.657 -1.668 -1.671 -1.685 -1.693 -1.694 -1.667 -1.709 -1.709 -1.683 5 -1.190 -1.211 -1.225 -1.257 -1.281 -1.296 -1.330 -1.355 -1.369 -1.333 -1.425 -1.438 -1.404 6 -1.064 -1.073 -1.077 -1.093 -1.104 -1.109 -1.130 -1.144 -1.152 -1.120 -1.196 -1.206 -1.173 7 -0.965 -0.969 -0.969 -0.977 -0.981 -0.981 -0.990 -0.995 -0.995 -0.968 -1.014 -1.015 -0.988 8 -0.897 -0.900 -0.900 -0.907 -0.910 -0.908 -0.914 -0.916 -0.914 -0.889 -0.923 -0.921 -0.896 9 -0.794 -0.802 -0.803 -0.814 -0.819 -0.818 -0.826 -0.829 -0.827 -0.802 -0.837 -0.834 -0.810 10 -0.682 -0.704 -0.715 -0.738 -0.750 -0.755 -0.770 -0.777 -0.777 -0.751 -0.791 -0.790 -0.765 11 -0.747 -0.749 -0.747 -0.752 -0.754 -0.751 -0.756 -0.757 -0.753 -0.729 -0.759 -0.755 -0.731 12 -1.220 -1.225 -1.224 -1.232 -1.235 -1.234 -1.241 -1.243 -1.240 -1.216 -1.248 -1.245 -1.222 13 -1.139 -1.148 -1.151 -1.164 -1.171 -1.173 -1.185 -1.192 -1.193 -1.167 -1.213 -1.215 -1.188 14 -1.100 -1.112 -1.117 -1.132 -1.139 -1.141 -1.153 -1.158 -1.159 -1.133 -1.174 -1.173 -1.148 15 -0.970 -0.991 -1.003 -1.027 -1.042 -1.049 -1.068 -1.079 -1.082 -1.054 -1.105 -1.106 -1.080 16 -0.796 -0.823 -0.841 -0.877 -0.902 -0.916 -0.947 -0.968 -0.978 -0.946 -1.019 -1.026 -0.996 17 -0.653 -0.675 -0.689 -0.722 -0.746 -0.762 -0.797 -0.821 -0.835 -0.800 -0.891 -0.902 -0.869 18 -0.528 -0.539 -0.545 -0.566 -0.582 -0.591 -0.618 -0.638 -0.651 -0.615 -0.708 -0.722 -0.685 19 -0.520 -0.526 -0.526 -0.538 -0.545 -0.548 -0.564 -0.575 -0.581 -0.549 -0.620 -0.630 -0.595 20 -1.004 -1.007 -1.006 -1.012 -1.014 -1.012 -1.018 -1.019 -1.016 -0.993 -1.023 -1.020 -0.997 21 -0.961 -0.966 -0.966 -0.975 -0.979 -0.979 -0.988 -0.993 -0.993 -0.967 -1.009 -1.010 -0.984 22 -0.927 -0.931 -0.931 -0.940 -0.944 -0.944 -0.953 -0.957 -0.957 -0.931 -0.972 -0.972 -0.946 23 -0.893 -0.898 -0.898 -0.907 -0.911 -0.910 -0.919 -0.922 -0.921 -0.896 -0.935 -0.935 -0.909 24 -0.875 -0.881 -0.881 -0.891 -0.895 -0.894 -0.903 -0.906 -0.905 -0.880 -0.918 -0.917 -0.892 25 -0.855 -0.860 -0.860 -0.868 -0.872 -0.871 -0.878 -0.881 -0.879 -0.854 -0.889 -0.887 -0.863 26 -0.829 -0.837 -0.839 -0.849 -0.855 -0.855 -0.864 -0.868 -0.868 -0.842 -0.881 -0.881 -0.856 27 -0.802 -0.810 -0.812 -0.822 -0.828 -0.827 -0.836 -0.840 -0.838 -0.813 -0.849 -0.847 -0.823 28 -0.785 -0.795 -0.798 -0.811 -0.818 -0.819 -0.829 -0.833 -0.832 -0.807 -0.844 -0.843 -0.818 29 -0.732 -0.745 -0.750 -0.764 -0.770 -0.771 -0.781 -0.786 -0.785 -0.760 -0.797 -0.796 -0.772 30 -0.716 -0.728 -0.733 -0.748 -0.756 -0.758 -0.770 -0.775 -0.775 -0.749 -0.788 -0.786 -0.762 ===================================================================================================================================== 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 -6.257 -6.528 -6.943 -7.365 -7.718 -7.983 -8.173 -8.322 -8.461 -8.596 -8.729 -8.867 -9.006 -9.159 -9.319 -9.495 ---------------------------------------------------------------------------------------------------------------------------------- 2 5.630 5.426 5.135 4.839 4.598 4.422 4.305 4.213 4.127 4.045 3.964 3.882 3.799 3.705 3.608 3.498 3 5.406 5.201 4.912 4.627 4.394 4.223 4.103 4.011 3.925 3.842 3.759 3.675 3.589 3.495 3.397 3.284 4 5.392 5.185 4.894 4.605 4.369 4.197 4.075 3.982 3.896 3.813 3.731 3.648 3.564 3.470 3.374 3.263 5 5.391 5.180 4.885 4.592 4.353 4.179 4.057 3.963 3.876 3.794 3.711 3.628 3.544 3.452 3.357 3.247 6 5.411 5.198 4.899 4.602 4.360 4.183 4.060 3.966 3.879 3.797 3.714 3.631 3.547 3.455 3.360 3.252 7 5.390 5.175 4.873 4.572 4.327 4.149 4.026 3.931 3.844 3.761 3.679 3.596 3.511 3.419 3.324 3.215 8 5.370 5.155 4.849 4.545 4.299 4.119 3.995 3.900 3.812 3.729 3.647 3.563 3.479 3.386 3.291 3.182 9 5.321 5.107 4.799 4.493 4.245 4.064 3.939 3.843 3.755 3.672 3.589 3.505 3.420 3.327 3.232 3.122 10 5.327 5.113 4.803 4.495 4.244 4.063 3.936 3.840 3.752 3.668 3.585 3.500 3.416 3.322 3.226 3.116 11 5.291 5.077 4.767 4.457 4.205 4.022 3.895 3.798 3.709 3.625 3.541 3.457 3.371 3.277 3.181 3.071 12 5.291 5.077 4.766 4.454 4.201 4.016 3.889 3.791 3.702 3.617 3.533 3.448 3.362 3.268 3.171 3.061 13 5.262 5.049 4.737 4.424 4.170 3.984 3.856 3.758 3.668 3.582 3.498 3.412 3.326 3.232 3.134 3.023 14 5.264 5.052 4.739 4.425 4.169 3.982 3.853 3.754 3.664 3.578 3.493 3.407 3.321 3.226 3.128 3.017 15 5.235 5.023 4.709 4.395 4.138 3.950 3.820 3.721 3.630 3.543 3.458 3.372 3.285 3.190 3.092 2.980 16 5.236 5.024 4.710 4.394 4.136 3.948 3.817 3.718 3.626 3.539 3.454 3.367 3.280 3.184 3.085 2.973 17 5.202 4.991 4.677 4.360 4.101 3.912 3.781 3.681 3.589 3.501 3.415 3.328 3.241 3.145 3.046 2.933 18 5.158 4.948 4.633 4.316 4.056 3.867 3.735 3.634 3.542 3.454 3.368 3.280 3.192 3.096 2.996 2.884 19 5.183 4.973 4.658 4.340 4.079 3.888 3.756 3.654 3.562 3.473 3.387 3.299 3.211 3.114 3.015 2.902 20 5.184 4.974 4.659 4.340 4.078 3.887 3.754 3.652 3.559 3.470 3.383 3.295 3.207 3.110 3.010 2.897 21 5.139 4.930 4.614 4.295 4.033 3.841 3.708 3.606 3.512 3.423 3.336 3.247 3.159 3.062 2.961 2.848 22 5.120 4.911 4.595 4.275 4.012 3.820 3.686 3.583 3.490 3.400 3.313 3.224 3.135 3.038 2.937 2.824 23 5.100 4.892 4.575 4.255 3.992 3.799 3.664 3.562 3.468 3.378 3.290 3.201 3.112 3.014 2.914 2.800 24 5.100 4.892 4.575 4.255 3.991 3.797 3.662 3.559 3.465 3.375 3.287 3.197 3.108 3.010 2.909 2.796 25 5.083 4.875 4.558 4.237 3.972 3.778 3.643 3.540 3.445 3.355 3.267 3.177 3.088 2.990 2.889 2.775 26 5.084 4.876 4.559 4.237 3.972 3.777 3.642 3.538 3.443 3.353 3.264 3.175 3.085 2.987 2.886 2.772 27 5.067 4.859 4.541 4.219 3.954 3.759 3.623 3.519 3.424 3.333 3.244 3.154 3.065 2.966 2.865 2.751 28 5.076 4.868 4.551 4.228 3.962 3.767 3.630 3.526 3.431 3.340 3.251 3.161 3.071 2.973 2.871 2.757 29 5.046 4.838 4.520 4.197 3.931 3.735 3.599 3.494 3.399 3.308 3.219 3.128 3.038 2.940 2.838 2.724 30 5.040 4.832 4.514 4.190 3.924 3.728 3.591 3.486 3.390 3.299 3.210 3.120 3.029 2.931 2.829 2.715 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 -9.697 -9.939 -10.232 -10.575 -10.968 -11.412 -11.933 -12.523 -13.225 -13.921 -14.649 -15.535 -15.816 -15.869 -15.971 -16.017 ---------------------------------------------------------------------------------------------------------------------------------- 2 3.374 3.222 3.037 2.813 2.537 2.236 1.877 1.444 0.834 0.173 -0.418 -1.249 -1.973 -2.026 -2.388 -2.487 3 3.155 3.000 2.809 2.562 2.172 1.684 1.169 0.785 0.307 -0.204 -0.705 -1.268 -1.456 -1.497 -1.569 -1.604 4 3.135 2.981 2.791 2.552 2.224 1.842 1.437 1.076 0.634 0.184 -0.296 -0.909 -1.163 -1.203 -1.305 -1.346 5 3.121 2.967 2.777 2.542 2.242 1.931 1.608 1.258 0.805 0.313 -0.285 -1.159 -1.525 -1.568 -1.686 -1.728 6 3.126 2.973 2.784 2.550 2.252 1.919 1.544 1.133 0.648 0.147 -0.457 -1.378 -1.686 -1.727 -1.817 -1.854 7 3.090 2.937 2.748 2.517 2.235 1.916 1.543 1.115 0.562 -0.006 -0.590 -1.561 -1.802 -1.842 -1.920 -1.955 8 3.056 2.903 2.713 2.479 2.171 1.795 1.355 0.907 0.381 -0.163 -0.721 -1.665 -1.876 -1.916 -1.993 -2.028 9 2.995 2.841 2.651 2.413 2.085 1.689 1.240 0.811 0.307 -0.231 -0.819 -1.753 -1.971 -2.011 -2.099 -2.136 10 2.989 2.834 2.643 2.405 2.072 1.657 1.175 0.728 0.163 -0.347 -0.946 -1.809 -2.062 -2.102 -2.213 -2.256 11 2.943 2.787 2.595 2.352 1.997 1.556 1.068 0.643 0.107 -0.410 -1.031 -1.830 -2.017 -2.057 -2.129 -2.164 12 2.932 2.776 2.583 2.335 1.950 1.485 1.014 0.637 0.151 -0.342 -0.819 -1.395 -1.589 -1.626 -1.700 -1.734 13 2.895 2.737 2.544 2.303 1.971 1.588 1.184 0.796 0.344 -0.107 -0.614 -1.426 -1.665 -1.703 -1.796 -1.833 14 2.888 2.730 2.536 2.297 1.984 1.633 1.261 0.884 0.407 -0.090 -0.645 -1.450 -1.696 -1.734 -1.829 -1.867 15 2.850 2.692 2.497 2.264 1.987 1.702 1.373 0.969 0.453 -0.085 -0.674 -1.512 -1.794 -1.834 -1.948 -1.991 16 2.844 2.685 2.490 2.259 1.992 1.703 1.357 0.939 0.410 -0.142 -0.742 -1.591 -1.927 -1.969 -2.098 -2.143 17 2.803 2.644 2.449 2.216 1.928 1.586 1.189 0.762 0.233 -0.285 -0.861 -1.706 -2.067 -2.109 -2.231 -2.274 18 2.753 2.594 2.398 2.168 1.901 1.590 1.215 0.780 0.210 -0.337 -0.950 -1.845 -2.206 -2.248 -2.352 -2.391 19 2.771 2.612 2.416 2.174 1.848 1.476 1.075 0.678 0.180 -0.381 -0.998 -1.911 -2.222 -2.264 -2.351 -2.387 20 2.766 2.606 2.410 2.181 1.905 1.564 1.131 0.679 0.135 -0.401 -0.980 -1.613 -1.806 -1.842 -1.914 -1.946 21 2.717 2.557 2.361 2.122 1.813 1.466 1.080 0.664 0.168 -0.325 -0.841 -1.604 -1.826 -1.865 -1.942 -1.977 22 2.693 2.533 2.337 2.098 1.796 1.469 1.116 0.713 0.183 -0.326 -0.868 -1.639 -1.862 -1.901 -1.979 -2.014 23 2.669 2.509 2.313 2.080 1.794 1.458 1.079 0.679 0.179 -0.334 -0.877 -1.673 -1.896 -1.935 -2.014 -2.049 24 2.665 2.504 2.308 2.072 1.778 1.455 1.094 0.689 0.184 -0.340 -0.892 -1.694 -1.918 -1.956 -2.037 -2.072 25 2.643 2.483 2.287 2.052 1.768 1.450 1.082 0.678 0.182 -0.344 -0.914 -1.724 -1.935 -1.974 -2.053 -2.088 26 2.640 2.480 2.284 2.052 1.777 1.464 1.093 0.672 0.159 -0.367 -0.926 -1.735 -1.963 -2.002 -2.088 -2.124 27 2.620 2.459 2.263 2.028 1.735 1.396 1.022 0.626 0.127 -0.405 -0.974 -1.770 -1.990 -2.028 -2.113 -2.149 28 2.626 2.465 2.270 2.033 1.733 1.381 1.001 0.606 0.104 -0.425 -0.987 -1.779 -2.005 -2.043 -2.134 -2.171 29 2.593 2.432 2.237 2.007 1.739 1.417 1.004 0.528 -0.067 -0.660 -1.222 -1.847 -2.073 -2.110 -2.202 -2.239 30 2.583 2.423 2.227 1.997 1.719 1.377 0.932 0.434 -0.154 -0.685 -1.205 -1.847 -2.077 -2.114 -2.209 -2.247 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 -16.066 -16.117 -16.167 -16.211 -16.261 -16.311 -16.361 -16.411 -16.519 -16.510 -16.560 -16.608 -16.598 -16.587 -16.575 -16.563 ---------------------------------------------------------------------------------------------------------------------------------- 2 -2.617 -2.760 -2.913 -3.036 -3.196 -3.359 -3.520 -3.683 -4.223 -4.002 -4.163 -4.308 -4.105 -3.901 -3.712 -3.533 3 -1.640 -1.677 -1.714 -1.747 -1.785 -1.822 -1.860 -1.899 -1.982 -1.975 -2.013 -2.051 -2.043 -2.035 -2.028 -2.020 4 -1.391 -1.439 -1.488 -1.531 -1.581 -1.631 -1.682 -1.733 -1.865 -1.834 -1.882 -1.930 -1.897 -1.866 -1.835 -1.805 5 -1.775 -1.822 -1.869 -1.909 -1.954 -1.998 -2.042 -2.085 -2.182 -2.169 -2.210 -2.251 -2.237 -2.223 -2.208 -2.192 6 -1.894 -1.934 -1.974 -2.009 -2.049 -2.088 -2.128 -2.168 -2.256 -2.246 -2.285 -2.323 -2.313 -2.302 -2.291 -2.280 7 -1.993 -2.032 -2.070 -2.105 -2.143 -2.183 -2.222 -2.261 -2.352 -2.339 -2.379 -2.418 -2.405 -2.393 -2.382 -2.372 8 -2.065 -2.104 -2.142 -2.177 -2.216 -2.257 -2.297 -2.337 -2.434 -2.418 -2.459 -2.498 -2.483 -2.469 -2.456 -2.444 9 -2.178 -2.221 -2.266 -2.305 -2.351 -2.399 -2.447 -2.496 -2.633 -2.596 -2.647 -2.696 -2.661 -2.630 -2.603 -2.579 10 -2.310 -2.368 -2.431 -2.486 -2.554 -2.626 -2.701 -2.779 -3.036 -2.939 -3.022 -3.103 -3.011 -2.929 -2.859 -2.799 11 -2.200 -2.237 -2.274 -2.307 -2.344 -2.382 -2.420 -2.458 -2.542 -2.534 -2.572 -2.610 -2.601 -2.593 -2.585 -2.577 12 -1.771 -1.809 -1.847 -1.881 -1.919 -1.957 -1.996 -2.034 -2.131 -2.115 -2.154 -2.194 -2.177 -2.161 -2.146 -2.133 13 -1.874 -1.915 -1.958 -1.994 -2.036 -2.079 -2.120 -2.162 -2.286 -2.257 -2.303 -2.349 -2.320 -2.293 -2.267 -2.245 14 -1.909 -1.953 -1.998 -2.038 -2.085 -2.133 -2.180 -2.229 -2.355 -2.324 -2.371 -2.417 -2.386 -2.357 -2.329 -2.303 15 -2.039 -2.090 -2.143 -2.187 -2.240 -2.293 -2.345 -2.398 -2.531 -2.499 -2.549 -2.597 -2.565 -2.533 -2.501 -2.469 16 -2.194 -2.246 -2.299 -2.343 -2.393 -2.443 -2.492 -2.540 -2.652 -2.632 -2.676 -2.719 -2.699 -2.678 -2.654 -2.630 17 -2.321 -2.369 -2.417 -2.457 -2.502 -2.547 -2.591 -2.634 -2.734 -2.719 -2.760 -2.801 -2.786 -2.770 -2.753 -2.736 18 -2.433 -2.475 -2.517 -2.553 -2.593 -2.634 -2.675 -2.716 -2.810 -2.797 -2.837 -2.876 -2.863 -2.850 -2.837 -2.825 19 -2.426 -2.465 -2.504 -2.538 -2.577 -2.615 -2.654 -2.693 -2.778 -2.769 -2.808 -2.846 -2.837 -2.828 -2.819 -2.810 20 -1.981 -2.016 -2.053 -2.085 -2.122 -2.158 -2.195 -2.232 -2.316 -2.306 -2.342 -2.379 -2.368 -2.358 -2.348 -2.338 21 -2.014 -2.052 -2.090 -2.123 -2.161 -2.200 -2.238 -2.277 -2.366 -2.354 -2.392 -2.430 -2.417 -2.406 -2.394 -2.383 22 -2.051 -2.089 -2.127 -2.161 -2.200 -2.239 -2.277 -2.317 -2.408 -2.395 -2.433 -2.472 -2.458 -2.445 -2.432 -2.420 23 -2.087 -2.125 -2.165 -2.199 -2.238 -2.278 -2.318 -2.359 -2.455 -2.439 -2.479 -2.518 -2.502 -2.487 -2.472 -2.459 24 -2.110 -2.149 -2.189 -2.225 -2.265 -2.307 -2.348 -2.390 -2.492 -2.472 -2.514 -2.554 -2.535 -2.517 -2.500 -2.485 25 -2.126 -2.164 -2.204 -2.239 -2.278 -2.319 -2.359 -2.400 -2.500 -2.482 -2.523 -2.563 -2.545 -2.529 -2.513 -2.499 26 -2.164 -2.205 -2.246 -2.283 -2.326 -2.369 -2.413 -2.457 -2.570 -2.545 -2.589 -2.632 -2.608 -2.585 -2.564 -2.545 27 -2.189 -2.231 -2.273 -2.311 -2.354 -2.398 -2.443 -2.488 -2.604 -2.577 -2.622 -2.666 -2.640 -2.616 -2.594 -2.574 28 -2.213 -2.257 -2.302 -2.341 -2.386 -2.433 -2.479 -2.527 -2.651 -2.620 -2.667 -2.714 -2.684 -2.656 -2.630 -2.606 29 -2.279 -2.321 -2.363 -2.401 -2.449 -2.498 -2.548 -2.598 -2.728 -2.696 -2.744 -2.791 -2.759 -2.729 -2.699 -2.672 30 -2.291 -2.336 -2.383 -2.423 -2.471 -2.518 -2.565 -2.613 -2.738 -2.707 -2.754 -2.801 -2.769 -2.741 -2.713 -2.687 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 qcvz -16.551 -16.538 -16.526 -16.513 -16.501 -16.489 -16.477 -16.465 -16.453 -16.419 -16.419 -16.418 -16.352 ---------------------------------------------------------------------------------------------------------- 2 -3.365 -3.207 -3.058 -2.919 -2.791 -2.672 -2.564 -2.464 -2.373 -2.228 -2.187 -2.146 -1.964 3 -2.012 -2.005 -1.998 -1.991 -1.985 -1.978 -1.972 -1.966 -1.960 -1.939 -1.942 -1.943 -1.900 4 -1.778 -1.752 -1.728 -1.705 -1.685 -1.665 -1.648 -1.632 -1.617 -1.584 -1.581 -1.578 -1.522 5 -2.174 -2.156 -2.136 -2.115 -2.093 -2.069 -2.045 -2.019 -1.993 -1.938 -1.927 -1.914 -1.814 6 -2.269 -2.258 -2.247 -2.235 -2.223 -2.210 -2.197 -2.183 -2.168 -2.130 -2.124 -2.118 -2.037 7 -2.361 -2.352 -2.342 -2.333 -2.324 -2.316 -2.307 -2.298 -2.289 -2.263 -2.263 -2.262 -2.206 8 -2.432 -2.422 -2.412 -2.402 -2.394 -2.385 -2.377 -2.370 -2.362 -2.339 -2.341 -2.341 -2.294 9 -2.559 -2.540 -2.524 -2.510 -2.497 -2.485 -2.474 -2.463 -2.454 -2.428 -2.429 -2.429 -2.381 10 -2.747 -2.703 -2.665 -2.632 -2.604 -2.580 -2.558 -2.540 -2.523 -2.490 -2.488 -2.486 -2.431 11 -2.569 -2.561 -2.554 -2.547 -2.541 -2.534 -2.528 -2.522 -2.516 -2.495 -2.497 -2.499 -2.456 12 -2.121 -2.110 -2.100 -2.090 -2.080 -2.071 -2.062 -2.054 -2.046 -2.022 -2.023 -2.024 -1.979 13 -2.227 -2.210 -2.194 -2.179 -2.165 -2.151 -2.138 -2.125 -2.113 -2.082 -2.080 -2.077 -2.018 14 -2.279 -2.257 -2.237 -2.218 -2.200 -2.185 -2.170 -2.157 -2.144 -2.114 -2.113 -2.110 -2.056 15 -2.438 -2.407 -2.379 -2.351 -2.326 -2.302 -2.280 -2.260 -2.240 -2.201 -2.196 -2.191 -2.127 16 -2.604 -2.576 -2.548 -2.519 -2.490 -2.461 -2.432 -2.404 -2.377 -2.323 -2.313 -2.302 -2.217 17 -2.717 -2.697 -2.676 -2.654 -2.631 -2.606 -2.581 -2.554 -2.527 -2.471 -2.459 -2.446 -2.347 18 -2.812 -2.799 -2.785 -2.771 -2.757 -2.741 -2.724 -2.706 -2.686 -2.640 -2.631 -2.620 -2.522 19 -2.801 -2.792 -2.783 -2.774 -2.764 -2.754 -2.744 -2.733 -2.721 -2.687 -2.683 -2.678 -2.599 20 -2.329 -2.320 -2.311 -2.303 -2.295 -2.287 -2.279 -2.272 -2.265 -2.244 -2.245 -2.246 -2.203 21 -2.373 -2.363 -2.353 -2.343 -2.334 -2.325 -2.316 -2.307 -2.298 -2.272 -2.272 -2.271 -2.218 22 -2.409 -2.398 -2.388 -2.378 -2.369 -2.360 -2.351 -2.342 -2.333 -2.307 -2.307 -2.307 -2.254 23 -2.446 -2.435 -2.424 -2.413 -2.403 -2.394 -2.384 -2.375 -2.367 -2.341 -2.342 -2.341 -2.290 24 -2.470 -2.457 -2.445 -2.433 -2.422 -2.411 -2.402 -2.393 -2.384 -2.358 -2.358 -2.358 -2.307 25 -2.485 -2.473 -2.462 -2.451 -2.441 -2.432 -2.423 -2.414 -2.406 -2.382 -2.382 -2.382 -2.335 26 -2.527 -2.511 -2.496 -2.482 -2.469 -2.457 -2.446 -2.435 -2.425 -2.398 -2.398 -2.397 -2.345 27 -2.555 -2.538 -2.523 -2.509 -2.496 -2.483 -2.472 -2.461 -2.452 -2.426 -2.426 -2.425 -2.377 28 -2.584 -2.564 -2.546 -2.529 -2.513 -2.499 -2.486 -2.474 -2.463 -2.435 -2.434 -2.433 -2.382 29 -2.647 -2.624 -2.602 -2.583 -2.565 -2.552 -2.539 -2.527 -2.515 -2.487 -2.486 -2.484 -2.433 30 -2.664 -2.641 -2.621 -2.602 -2.584 -2.567 -2.552 -2.538 -2.526 -2.495 -2.494 -2.492 -2.441 ================================================================================================================================== 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 1.479 1.230 0.895 0.560 0.281 0.069 -0.085 -0.208 -0.322 -0.433 -0.544 -0.658 -0.777 -0.904 -1.040 -1.187 ---------------------------------------------------------------------------------------------------------------------------------- 2 -6.786 -6.605 -6.393 -6.185 -6.018 -5.896 -5.814 -5.749 -5.688 -5.630 -5.571 -5.512 -5.450 -5.382 -5.309 -5.228 3 -6.562 -6.380 -6.171 -5.973 -5.814 -5.697 -5.613 -5.547 -5.486 -5.427 -5.367 -5.305 -5.241 -5.171 -5.098 -5.014 4 -6.548 -6.365 -6.153 -5.951 -5.790 -5.670 -5.585 -5.519 -5.457 -5.398 -5.338 -5.278 -5.215 -5.147 -5.075 -4.993 5 -6.547 -6.360 -6.144 -5.938 -5.774 -5.652 -5.566 -5.499 -5.437 -5.378 -5.319 -5.258 -5.196 -5.128 -5.058 -4.977 6 -6.567 -6.377 -6.157 -5.948 -5.780 -5.657 -5.570 -5.503 -5.440 -5.381 -5.322 -5.261 -5.199 -5.131 -5.061 -4.982 7 -6.546 -6.355 -6.131 -5.918 -5.748 -5.623 -5.535 -5.468 -5.405 -5.346 -5.286 -5.226 -5.163 -5.095 -5.025 -4.946 8 -6.526 -6.334 -6.107 -5.891 -5.719 -5.593 -5.504 -5.436 -5.373 -5.314 -5.254 -5.193 -5.131 -5.062 -4.992 -4.912 9 -6.477 -6.286 -6.057 -5.839 -5.665 -5.538 -5.449 -5.380 -5.316 -5.256 -5.196 -5.135 -5.072 -5.004 -4.933 -4.852 10 -6.483 -6.292 -6.061 -5.841 -5.665 -5.536 -5.446 -5.377 -5.313 -5.252 -5.192 -5.131 -5.067 -4.998 -4.927 -4.847 11 -6.447 -6.256 -6.025 -5.803 -5.625 -5.496 -5.405 -5.334 -5.270 -5.209 -5.148 -5.087 -5.023 -4.954 -4.882 -4.801 12 -6.447 -6.256 -6.024 -5.800 -5.621 -5.490 -5.398 -5.328 -5.263 -5.201 -5.140 -5.078 -5.014 -4.944 -4.872 -4.791 13 -6.418 -6.228 -5.995 -5.770 -5.590 -5.458 -5.365 -5.294 -5.229 -5.167 -5.105 -5.043 -4.978 -4.908 -4.835 -4.754 14 -6.420 -6.231 -5.997 -5.771 -5.589 -5.456 -5.363 -5.291 -5.225 -5.162 -5.100 -5.037 -4.973 -4.902 -4.829 -4.747 15 -6.391 -6.202 -5.968 -5.741 -5.558 -5.424 -5.330 -5.257 -5.191 -5.128 -5.065 -5.002 -4.937 -4.866 -4.793 -4.710 16 -6.392 -6.204 -5.969 -5.740 -5.557 -5.422 -5.327 -5.254 -5.187 -5.124 -5.061 -4.997 -4.932 -4.860 -4.786 -4.704 17 -6.358 -6.170 -5.935 -5.706 -5.522 -5.386 -5.290 -5.217 -5.150 -5.086 -5.022 -4.958 -4.893 -4.821 -4.747 -4.664 18 -6.314 -6.127 -5.891 -5.662 -5.477 -5.340 -5.244 -5.170 -5.103 -5.038 -4.975 -4.910 -4.844 -4.772 -4.697 -4.614 19 -6.339 -6.152 -5.916 -5.686 -5.499 -5.362 -5.265 -5.191 -5.123 -5.058 -4.994 -4.929 -4.863 -4.790 -4.716 -4.632 20 -6.340 -6.153 -5.917 -5.686 -5.498 -5.360 -5.263 -5.188 -5.120 -5.055 -4.990 -4.925 -4.859 -4.786 -4.711 -4.627 21 -6.295 -6.109 -5.873 -5.641 -5.453 -5.315 -5.217 -5.142 -5.073 -5.008 -4.943 -4.877 -4.811 -4.738 -4.662 -4.579 22 -6.276 -6.090 -5.853 -5.621 -5.433 -5.294 -5.195 -5.120 -5.050 -4.985 -4.920 -4.854 -4.787 -4.714 -4.638 -4.554 23 -6.256 -6.071 -5.834 -5.601 -5.412 -5.273 -5.174 -5.098 -5.029 -4.962 -4.897 -4.831 -4.764 -4.691 -4.615 -4.531 24 -6.256 -6.071 -5.834 -5.601 -5.411 -5.271 -5.172 -5.095 -5.026 -4.959 -4.894 -4.828 -4.760 -4.687 -4.610 -4.526 25 -6.239 -6.054 -5.816 -5.583 -5.393 -5.252 -5.153 -5.076 -5.006 -4.939 -4.874 -4.807 -4.739 -4.666 -4.590 -4.505 26 -6.240 -6.055 -5.817 -5.583 -5.392 -5.251 -5.151 -5.074 -5.004 -4.937 -4.871 -4.805 -4.737 -4.663 -4.587 -4.502 27 -6.223 -6.038 -5.799 -5.565 -5.374 -5.232 -5.132 -5.055 -4.985 -4.917 -4.851 -4.784 -4.716 -4.643 -4.566 -4.482 28 -6.232 -6.048 -5.809 -5.574 -5.382 -5.240 -5.140 -5.062 -4.992 -4.924 -4.858 -4.791 -4.723 -4.649 -4.572 -4.488 29 -6.202 -6.017 -5.779 -5.543 -5.351 -5.209 -5.108 -5.031 -4.960 -4.892 -4.826 -4.759 -4.690 -4.616 -4.539 -4.455 30 -6.196 -6.011 -5.772 -5.536 -5.344 -5.201 -5.100 -5.022 -4.951 -4.884 -4.817 -4.750 -4.681 -4.607 -4.530 -4.445 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 -1.353 -1.551 -1.790 -2.069 -2.390 -2.752 -3.180 -3.666 -4.249 -4.832 -5.433 -6.097 -6.308 -6.357 -6.438 -6.477 ---------------------------------------------------------------------------------------------------------------------------------- 2 -5.140 -5.031 -4.901 -4.741 -4.537 -4.318 -4.053 -3.724 -3.233 -2.684 -2.221 -1.612 -0.957 -0.908 -0.568 -0.476 3 -4.921 -4.810 -4.674 -4.490 -4.173 -3.766 -3.345 -3.064 -2.706 -2.307 -1.934 -1.592 -1.474 -1.437 -1.387 -1.359 4 -4.901 -4.790 -4.655 -4.480 -4.224 -3.924 -3.613 -3.355 -3.033 -2.695 -2.343 -1.952 -1.768 -1.731 -1.651 -1.617 5 -4.886 -4.777 -4.641 -4.470 -4.243 -4.013 -3.784 -3.537 -3.204 -2.825 -2.354 -1.702 -1.406 -1.367 -1.270 -1.235 6 -4.892 -4.783 -4.648 -4.478 -4.253 -4.001 -3.720 -3.413 -3.047 -2.658 -2.181 -1.483 -1.245 -1.207 -1.139 -1.109 7 -4.855 -4.747 -4.612 -4.445 -4.236 -3.997 -3.719 -3.394 -2.961 -2.505 -2.049 -1.300 -1.128 -1.092 -1.036 -1.008 8 -4.821 -4.712 -4.577 -4.407 -4.172 -3.877 -3.531 -3.187 -2.780 -2.349 -1.918 -1.196 -1.055 -1.019 -0.963 -0.935 9 -4.761 -4.651 -4.515 -4.341 -4.085 -3.771 -3.416 -3.090 -2.706 -2.281 -1.820 -1.108 -0.959 -0.923 -0.857 -0.827 10 -4.755 -4.644 -4.507 -4.333 -4.073 -3.739 -3.351 -3.007 -2.562 -2.165 -1.693 -1.052 -0.868 -0.832 -0.742 -0.707 11 -4.708 -4.597 -4.459 -4.280 -3.997 -3.638 -3.244 -2.922 -2.506 -2.102 -1.608 -1.031 -0.913 -0.877 -0.826 -0.799 12 -4.698 -4.585 -4.447 -4.263 -3.951 -3.567 -3.190 -2.916 -2.550 -2.170 -1.820 -1.466 -1.342 -1.309 -1.255 -1.229 13 -4.660 -4.547 -4.408 -4.231 -3.972 -3.670 -3.360 -3.075 -2.743 -2.404 -2.025 -1.435 -1.265 -1.231 -1.160 -1.130 14 -4.653 -4.540 -4.400 -4.225 -3.985 -3.715 -3.437 -3.164 -2.806 -2.422 -1.994 -1.410 -1.235 -1.200 -1.127 -1.096 15 -4.616 -4.502 -4.362 -4.192 -3.988 -3.784 -3.549 -3.248 -2.852 -2.427 -1.965 -1.349 -1.137 -1.101 -1.008 -0.972 16 -4.609 -4.495 -4.354 -4.187 -3.993 -3.785 -3.533 -3.218 -2.809 -2.370 -1.897 -1.270 -1.003 -0.965 -0.858 -0.820 17 -4.569 -4.454 -4.313 -4.144 -3.929 -3.668 -3.365 -3.041 -2.632 -2.227 -1.778 -1.154 -0.863 -0.825 -0.725 -0.689 18 -4.519 -4.404 -4.262 -4.096 -3.901 -3.672 -3.391 -3.059 -2.609 -2.174 -1.689 -1.016 -0.725 -0.687 -0.604 -0.572 19 -4.537 -4.421 -4.280 -4.102 -3.848 -3.558 -3.251 -2.957 -2.579 -2.131 -1.641 -0.950 -0.709 -0.670 -0.605 -0.576 20 -4.532 -4.416 -4.275 -4.108 -3.906 -3.645 -3.307 -2.958 -2.534 -2.110 -1.659 -1.248 -1.125 -1.092 -1.042 -1.017 21 -4.483 -4.367 -4.225 -4.050 -3.814 -3.548 -3.256 -2.944 -2.567 -2.186 -1.798 -1.257 -1.104 -1.069 -1.013 -0.986 22 -4.458 -4.343 -4.201 -4.026 -3.796 -3.551 -3.292 -2.993 -2.582 -2.186 -1.771 -1.222 -1.069 -1.033 -0.977 -0.949 23 -4.435 -4.319 -4.177 -4.008 -3.794 -3.540 -3.255 -2.958 -2.578 -2.177 -1.762 -1.187 -1.034 -0.999 -0.942 -0.914 24 -4.430 -4.314 -4.172 -4.000 -3.778 -3.537 -3.270 -2.969 -2.583 -2.172 -1.747 -1.167 -1.013 -0.978 -0.919 -0.891 25 -4.409 -4.293 -4.151 -3.980 -3.769 -3.532 -3.258 -2.957 -2.581 -2.168 -1.725 -1.137 -0.995 -0.960 -0.903 -0.875 26 -4.406 -4.290 -4.148 -3.980 -3.778 -3.546 -3.269 -2.951 -2.558 -2.145 -1.713 -1.126 -0.967 -0.932 -0.868 -0.839 27 -4.385 -4.269 -4.128 -3.956 -3.735 -3.478 -3.198 -2.906 -2.526 -2.106 -1.665 -1.091 -0.941 -0.906 -0.843 -0.814 28 -4.391 -4.275 -4.134 -3.961 -3.734 -3.463 -3.177 -2.885 -2.503 -2.087 -1.652 -1.082 -0.925 -0.891 -0.822 -0.792 29 -4.358 -4.242 -4.101 -3.935 -3.739 -3.499 -3.180 -2.808 -2.332 -1.851 -1.417 -1.014 -0.858 -0.824 -0.754 -0.724 30 -4.349 -4.233 -4.092 -3.925 -3.720 -3.458 -3.108 -2.713 -2.245 -1.827 -1.434 -1.014 -0.853 -0.820 -0.747 -0.716 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 -6.518 -6.559 -6.601 -6.639 -6.681 -6.724 -6.766 -6.810 -6.895 -6.897 -6.937 -6.977 -6.978 -6.976 -6.972 -6.967 ---------------------------------------------------------------------------------------------------------------------------------- 2 -0.355 -0.220 -0.076 0.041 0.193 0.348 0.503 0.659 1.176 0.966 1.118 1.254 1.063 0.868 0.686 0.514 3 -1.332 -1.303 -1.275 -1.248 -1.218 -1.188 -1.157 -1.126 -1.066 -1.061 -1.032 -1.003 -0.999 -0.998 -0.998 -0.999 4 -1.580 -1.541 -1.501 -1.465 -1.422 -1.379 -1.335 -1.291 -1.182 -1.203 -1.163 -1.124 -1.145 -1.167 -1.191 -1.214 5 -1.197 -1.158 -1.120 -1.086 -1.049 -1.012 -0.976 -0.939 -0.866 -0.867 -0.835 -0.803 -0.805 -0.810 -0.818 -0.827 6 -1.078 -1.046 -1.015 -0.986 -0.954 -0.922 -0.890 -0.857 -0.791 -0.790 -0.760 -0.731 -0.730 -0.731 -0.735 -0.739 7 -0.978 -0.949 -0.918 -0.890 -0.859 -0.828 -0.796 -0.763 -0.696 -0.697 -0.666 -0.636 -0.637 -0.640 -0.644 -0.647 8 -0.906 -0.877 -0.847 -0.818 -0.786 -0.754 -0.721 -0.687 -0.614 -0.618 -0.586 -0.556 -0.559 -0.564 -0.570 -0.575 9 -0.794 -0.759 -0.723 -0.690 -0.651 -0.611 -0.570 -0.528 -0.414 -0.440 -0.398 -0.358 -0.381 -0.403 -0.423 -0.440 10 -0.662 -0.612 -0.558 -0.510 -0.449 -0.384 -0.317 -0.246 -0.012 -0.097 -0.023 0.049 -0.031 -0.104 -0.167 -0.220 11 -0.772 -0.743 -0.715 -0.688 -0.659 -0.628 -0.598 -0.566 -0.506 -0.502 -0.473 -0.444 -0.441 -0.440 -0.441 -0.442 12 -1.200 -1.171 -1.142 -1.115 -1.084 -1.053 -1.022 -0.990 -0.917 -0.922 -0.891 -0.860 -0.866 -0.872 -0.880 -0.886 13 -1.098 -1.065 -1.031 -1.001 -0.967 -0.932 -0.897 -0.862 -0.761 -0.780 -0.742 -0.704 -0.723 -0.740 -0.759 -0.774 14 -1.063 -1.027 -0.991 -0.958 -0.918 -0.878 -0.837 -0.795 -0.693 -0.712 -0.674 -0.637 -0.656 -0.676 -0.697 -0.716 15 -0.932 -0.890 -0.846 -0.808 -0.763 -0.718 -0.672 -0.626 -0.517 -0.537 -0.496 -0.457 -0.477 -0.500 -0.525 -0.550 16 -0.778 -0.734 -0.690 -0.653 -0.609 -0.567 -0.525 -0.484 -0.396 -0.405 -0.369 -0.335 -0.343 -0.355 -0.372 -0.389 17 -0.650 -0.611 -0.572 -0.539 -0.501 -0.464 -0.427 -0.390 -0.314 -0.317 -0.285 -0.253 -0.257 -0.263 -0.273 -0.283 18 -0.539 -0.505 -0.472 -0.442 -0.410 -0.376 -0.343 -0.308 -0.238 -0.240 -0.208 -0.178 -0.180 -0.183 -0.189 -0.194 19 -0.546 -0.515 -0.485 -0.457 -0.426 -0.395 -0.364 -0.332 -0.270 -0.267 -0.237 -0.208 -0.206 -0.205 -0.207 -0.209 20 -0.991 -0.964 -0.936 -0.910 -0.881 -0.852 -0.822 -0.792 -0.732 -0.730 -0.703 -0.675 -0.675 -0.675 -0.678 -0.681 21 -0.958 -0.929 -0.899 -0.872 -0.842 -0.811 -0.779 -0.747 -0.682 -0.683 -0.653 -0.624 -0.625 -0.627 -0.632 -0.636 22 -0.921 -0.891 -0.862 -0.834 -0.803 -0.772 -0.740 -0.707 -0.639 -0.642 -0.612 -0.582 -0.585 -0.588 -0.594 -0.599 23 -0.885 -0.855 -0.824 -0.796 -0.764 -0.732 -0.699 -0.666 -0.592 -0.597 -0.566 -0.536 -0.541 -0.546 -0.554 -0.560 24 -0.861 -0.831 -0.799 -0.771 -0.738 -0.704 -0.670 -0.635 -0.556 -0.564 -0.531 -0.500 -0.508 -0.516 -0.526 -0.534 25 -0.846 -0.816 -0.785 -0.757 -0.725 -0.692 -0.658 -0.624 -0.547 -0.554 -0.522 -0.491 -0.497 -0.504 -0.513 -0.520 26 -0.808 -0.776 -0.742 -0.712 -0.677 -0.641 -0.604 -0.567 -0.477 -0.491 -0.456 -0.422 -0.435 -0.448 -0.462 -0.474 27 -0.783 -0.750 -0.716 -0.685 -0.649 -0.612 -0.575 -0.537 -0.444 -0.459 -0.423 -0.388 -0.403 -0.417 -0.432 -0.445 28 -0.758 -0.723 -0.687 -0.655 -0.617 -0.578 -0.538 -0.498 -0.397 -0.416 -0.378 -0.340 -0.359 -0.378 -0.396 -0.413 29 -0.693 -0.660 -0.626 -0.594 -0.554 -0.512 -0.470 -0.427 -0.319 -0.340 -0.301 -0.263 -0.283 -0.304 -0.327 -0.347 30 -0.681 -0.644 -0.606 -0.572 -0.532 -0.492 -0.452 -0.411 -0.309 -0.329 -0.291 -0.253 -0.273 -0.293 -0.313 -0.332 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 rho -6.961 -6.956 -6.950 -6.945 -6.939 -6.933 -6.928 -6.922 -6.916 -6.894 -6.897 -6.899 -6.850 ---------------------------------------------------------------------------------------------------------- 2 0.353 0.201 0.059 -0.072 -0.194 -0.306 -0.408 -0.502 -0.586 -0.720 -0.758 -0.795 -0.960 3 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -0.999 -0.999 -1.009 -1.003 -0.998 -1.024 4 -1.234 -1.254 -1.271 -1.286 -1.300 -1.313 -1.324 -1.334 -1.342 -1.364 -1.363 -1.363 -1.403 5 -0.838 -0.849 -0.862 -0.877 -0.892 -0.909 -0.927 -0.946 -0.966 -1.010 -1.018 -1.028 -1.110 6 -0.743 -0.747 -0.752 -0.757 -0.762 -0.768 -0.775 -0.783 -0.791 -0.818 -0.820 -0.824 -0.888 7 -0.651 -0.654 -0.656 -0.658 -0.661 -0.663 -0.665 -0.667 -0.670 -0.685 -0.682 -0.679 -0.718 8 -0.580 -0.584 -0.587 -0.589 -0.591 -0.593 -0.594 -0.596 -0.597 -0.609 -0.604 -0.600 -0.630 9 -0.453 -0.465 -0.474 -0.482 -0.488 -0.494 -0.498 -0.502 -0.505 -0.520 -0.516 -0.512 -0.543 10 -0.265 -0.302 -0.333 -0.359 -0.381 -0.399 -0.414 -0.426 -0.436 -0.458 -0.457 -0.456 -0.493 11 -0.443 -0.444 -0.444 -0.444 -0.444 -0.444 -0.444 -0.444 -0.444 -0.453 -0.448 -0.443 -0.468 12 -0.891 -0.895 -0.899 -0.902 -0.905 -0.908 -0.910 -0.912 -0.914 -0.926 -0.922 -0.918 -0.945 13 -0.785 -0.795 -0.804 -0.812 -0.820 -0.827 -0.834 -0.840 -0.847 -0.866 -0.865 -0.864 -0.906 14 -0.733 -0.748 -0.762 -0.774 -0.785 -0.794 -0.802 -0.809 -0.815 -0.834 -0.832 -0.831 -0.869 15 -0.574 -0.598 -0.620 -0.640 -0.659 -0.676 -0.692 -0.706 -0.719 -0.747 -0.748 -0.750 -0.797 16 -0.408 -0.429 -0.450 -0.472 -0.495 -0.517 -0.540 -0.561 -0.582 -0.625 -0.631 -0.639 -0.707 17 -0.295 -0.308 -0.322 -0.338 -0.354 -0.372 -0.391 -0.411 -0.432 -0.477 -0.486 -0.496 -0.577 18 -0.200 -0.207 -0.213 -0.220 -0.228 -0.237 -0.248 -0.260 -0.273 -0.308 -0.314 -0.321 -0.402 19 -0.211 -0.213 -0.215 -0.218 -0.220 -0.224 -0.228 -0.233 -0.239 -0.261 -0.262 -0.264 -0.326 20 -0.683 -0.686 -0.687 -0.689 -0.690 -0.692 -0.693 -0.693 -0.694 -0.704 -0.699 -0.695 -0.722 21 -0.639 -0.643 -0.645 -0.648 -0.651 -0.653 -0.656 -0.658 -0.661 -0.676 -0.673 -0.670 -0.707 22 -0.603 -0.607 -0.610 -0.613 -0.616 -0.619 -0.621 -0.624 -0.626 -0.641 -0.637 -0.635 -0.670 23 -0.566 -0.571 -0.575 -0.578 -0.582 -0.585 -0.588 -0.590 -0.593 -0.607 -0.603 -0.600 -0.635 24 -0.542 -0.548 -0.554 -0.559 -0.563 -0.567 -0.570 -0.573 -0.576 -0.590 -0.586 -0.583 -0.617 25 -0.527 -0.532 -0.537 -0.540 -0.544 -0.547 -0.549 -0.551 -0.554 -0.566 -0.562 -0.559 -0.590 26 -0.485 -0.495 -0.503 -0.510 -0.516 -0.521 -0.526 -0.530 -0.534 -0.550 -0.547 -0.545 -0.579 27 -0.457 -0.467 -0.476 -0.483 -0.489 -0.495 -0.500 -0.504 -0.508 -0.522 -0.519 -0.516 -0.548 28 -0.428 -0.441 -0.453 -0.463 -0.472 -0.479 -0.486 -0.492 -0.497 -0.513 -0.511 -0.509 -0.542 29 -0.365 -0.382 -0.396 -0.409 -0.420 -0.427 -0.433 -0.439 -0.444 -0.461 -0.459 -0.457 -0.492 30 -0.349 -0.364 -0.377 -0.390 -0.401 -0.411 -0.419 -0.427 -0.434 -0.453 -0.451 -0.449 -0.483 ===================================================================================================================================== 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 -7.594 -7.678 -7.865 -8.161 -8.503 -8.816 -9.066 -9.250 -9.394 -9.520 -9.638 -9.754 -9.865 -9.989 -10.113 -10.243 ---------------------------------------------------------------------------------------------------------------------------------- 2 4.402 4.321 4.181 3.963 3.721 3.503 3.340 3.222 3.133 3.060 2.992 2.920 2.854 2.780 2.706 2.631 3 4.178 4.094 3.953 3.742 3.509 3.300 3.136 3.017 2.927 2.849 2.776 2.705 2.638 2.562 2.487 2.407 4 4.160 4.075 3.932 3.718 3.482 3.269 3.103 2.983 2.891 2.813 2.740 2.669 2.602 2.526 2.451 2.374 5 4.151 4.069 3.924 3.706 3.465 3.249 3.081 2.960 2.868 2.790 2.716 2.645 2.579 2.503 2.427 2.350 6 4.164 4.085 3.939 3.717 3.473 3.254 3.084 2.962 2.869 2.790 2.716 2.644 2.578 2.503 2.427 2.350 7 4.136 4.059 3.914 3.690 3.443 3.221 3.050 2.926 2.833 2.754 2.680 2.608 2.541 2.465 2.390 2.312 8 4.110 4.036 3.891 3.666 3.416 3.193 3.020 2.895 2.801 2.721 2.647 2.574 2.508 2.431 2.356 2.278 9 4.057 3.985 3.841 3.616 3.365 3.140 2.965 2.840 2.745 2.664 2.589 2.516 2.449 2.372 2.297 2.218 10 4.058 3.988 3.845 3.618 3.366 3.139 2.963 2.837 2.741 2.660 2.585 2.511 2.444 2.366 2.290 2.211 11 4.018 3.950 3.808 3.581 3.328 3.100 2.922 2.795 2.699 2.617 2.541 2.467 2.399 2.322 2.245 2.166 12 4.014 3.947 3.806 3.579 3.324 3.095 2.917 2.789 2.692 2.609 2.533 2.458 2.390 2.312 2.235 2.155 13 3.983 3.917 3.776 3.549 3.294 3.064 2.884 2.756 2.658 2.575 2.498 2.423 2.354 2.276 2.198 2.118 14 3.982 3.917 3.777 3.550 3.294 3.062 2.882 2.753 2.654 2.571 2.493 2.418 2.349 2.270 2.192 2.112 15 3.950 3.886 3.746 3.520 3.263 3.031 2.850 2.720 2.621 2.537 2.459 2.383 2.314 2.234 2.156 2.075 16 3.948 3.885 3.746 3.519 3.262 3.029 2.847 2.717 2.617 2.533 2.454 2.378 2.308 2.228 2.150 2.069 17 3.913 3.851 3.712 3.485 3.228 2.994 2.811 2.680 2.580 2.495 2.417 2.340 2.270 2.190 2.111 2.030 18 3.868 3.806 3.668 3.441 3.183 2.949 2.766 2.634 2.534 2.449 2.370 2.293 2.222 2.142 2.063 1.981 19 3.890 3.829 3.691 3.464 3.206 2.971 2.787 2.655 2.554 2.468 2.389 2.311 2.241 2.160 2.081 1.999 20 3.889 3.829 3.691 3.464 3.205 2.969 2.785 2.652 2.551 2.465 2.385 2.308 2.237 2.156 2.076 1.994 21 3.844 3.784 3.647 3.420 3.160 2.924 2.740 2.607 2.505 2.419 2.339 2.261 2.189 2.108 2.028 1.946 22 3.824 3.764 3.626 3.400 3.140 2.903 2.718 2.585 2.483 2.396 2.316 2.238 2.166 2.085 2.005 1.922 23 3.803 3.744 3.607 3.380 3.120 2.883 2.697 2.564 2.461 2.374 2.294 2.216 2.144 2.062 1.982 1.899 24 3.802 3.743 3.606 3.379 3.118 2.881 2.695 2.561 2.459 2.371 2.291 2.212 2.140 2.058 1.978 1.895 25 3.784 3.725 3.588 3.361 3.100 2.863 2.676 2.542 2.439 2.352 2.271 2.192 2.120 2.038 1.957 1.874 26 3.783 3.725 3.588 3.361 3.100 2.862 2.675 2.541 2.438 2.350 2.269 2.190 2.118 2.035 1.955 1.871 27 3.765 3.707 3.570 3.343 3.082 2.843 2.656 2.522 2.419 2.331 2.250 2.170 2.098 2.015 1.934 1.851 28 3.774 3.716 3.579 3.352 3.090 2.851 2.664 2.529 2.426 2.338 2.256 2.177 2.104 2.022 1.941 1.857 29 3.743 3.685 3.549 3.321 3.060 2.820 2.633 2.498 2.394 2.306 2.225 2.145 2.072 1.989 1.908 1.825 30 3.736 3.678 3.542 3.315 3.052 2.813 2.625 2.490 2.386 2.298 2.216 2.136 2.063 1.980 1.899 1.816 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 -10.386 -10.540 -10.720 -10.929 -11.168 -11.450 -11.773 -12.143 -12.551 -12.999 -13.504 -14.033 -14.578 -15.150 -15.959 -16.423 ---------------------------------------------------------------------------------------------------------------------------------- 2 2.545 2.453 2.340 2.211 2.059 1.883 1.653 1.394 1.099 0.771 0.376 -0.088 -0.580 -1.046 -1.647 -2.294 3 2.320 2.224 2.110 1.977 1.823 1.642 1.358 0.978 0.523 0.117 -0.201 -0.561 -0.950 -1.344 -1.875 -2.176 4 2.287 2.194 2.081 1.949 1.796 1.616 1.367 1.056 0.699 0.388 0.088 -0.238 -0.584 -0.956 -1.492 -1.851 5 2.264 2.171 2.060 1.929 1.777 1.597 1.361 1.093 0.822 0.556 0.258 -0.088 -0.472 -0.912 -1.616 -2.136 6 2.264 2.171 2.060 1.930 1.778 1.598 1.361 1.074 0.757 0.437 0.096 -0.257 -0.644 -1.090 -1.787 -2.343 7 2.226 2.133 2.021 1.890 1.739 1.558 1.332 1.064 0.766 0.444 0.057 -0.357 -0.794 -1.240 -1.974 -2.498 8 2.191 2.098 1.986 1.854 1.702 1.521 1.274 0.959 0.595 0.228 -0.136 -0.534 -0.962 -1.379 -2.140 -2.586 9 2.131 2.038 1.925 1.792 1.639 1.457 1.204 0.881 0.508 0.142 -0.208 -0.590 -1.011 -1.442 -2.276 -2.671 10 2.124 2.030 1.917 1.783 1.629 1.447 1.189 0.850 0.444 0.048 -0.334 -0.765 -1.157 -1.558 -2.378 -2.738 11 2.078 1.984 1.870 1.736 1.581 1.398 1.133 0.783 0.370 -0.024 -0.393 -0.806 -1.215 -1.642 -2.423 -2.736 12 2.067 1.972 1.858 1.723 1.568 1.384 1.110 0.749 0.336 -0.030 -0.359 -0.742 -1.117 -1.489 -2.013 -2.322 13 2.030 1.934 1.820 1.685 1.529 1.344 1.095 0.785 0.445 0.114 -0.209 -0.542 -0.889 -1.277 -1.936 -2.377 14 2.023 1.927 1.812 1.677 1.521 1.335 1.095 0.805 0.492 0.180 -0.144 -0.504 -0.888 -1.296 -1.969 -2.391 15 1.986 1.890 1.775 1.639 1.482 1.297 1.076 0.831 0.575 0.288 -0.065 -0.449 -0.861 -1.306 -2.028 -2.457 16 1.979 1.883 1.767 1.631 1.475 1.288 1.071 0.827 0.560 0.261 -0.101 -0.496 -0.921 -1.375 -2.093 -2.553 17 1.940 1.843 1.727 1.591 1.434 1.248 1.011 0.721 0.398 0.067 -0.293 -0.684 -1.082 -1.504 -2.187 -2.682 18 1.891 1.794 1.677 1.541 1.384 1.198 0.978 0.722 0.434 0.111 -0.278 -0.707 -1.128 -1.578 -2.288 -2.826 19 1.908 1.811 1.695 1.558 1.401 1.215 0.966 0.662 0.330 0.005 -0.335 -0.719 -1.154 -1.629 -2.341 -2.872 20 1.903 1.806 1.689 1.553 1.395 1.209 0.983 0.704 0.370 0.013 -0.364 -0.771 -1.181 -1.600 -2.227 -2.538 21 1.855 1.757 1.641 1.504 1.347 1.160 0.923 0.641 0.327 -0.001 -0.350 -0.715 -1.097 -1.497 -2.131 -2.535 22 1.831 1.733 1.617 1.480 1.322 1.136 0.903 0.636 0.352 0.046 -0.339 -0.720 -1.107 -1.520 -2.163 -2.570 23 1.808 1.710 1.593 1.456 1.299 1.112 0.880 0.602 0.298 -0.003 -0.346 -0.715 -1.107 -1.523 -2.182 -2.603 24 1.803 1.705 1.588 1.451 1.294 1.108 0.875 0.605 0.315 0.013 -0.334 -0.711 -1.113 -1.536 -2.207 -2.624 25 1.783 1.684 1.567 1.430 1.273 1.087 0.858 0.595 0.307 0.006 -0.336 -0.709 -1.115 -1.551 -2.245 -2.649 26 1.780 1.681 1.564 1.427 1.270 1.084 0.861 0.603 0.313 -0.003 -0.358 -0.737 -1.140 -1.569 -2.246 -2.666 27 1.759 1.661 1.544 1.406 1.249 1.064 0.830 0.556 0.258 -0.046 -0.387 -0.766 -1.176 -1.612 -2.309 -2.696 28 1.765 1.667 1.550 1.412 1.255 1.070 0.832 0.550 0.244 -0.067 -0.409 -0.789 -1.195 -1.626 -2.324 -2.708 29 1.733 1.634 1.517 1.380 1.223 1.037 0.812 0.535 0.198 -0.181 -0.581 -1.012 -1.444 -1.870 -2.445 -2.780 30 1.724 1.625 1.508 1.371 1.214 1.028 0.796 0.501 0.134 -0.268 -0.666 -1.068 -1.460 -1.857 -2.436 -2.779 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 -16.629 -16.669 -16.776 -16.824 -16.874 -16.925 -16.976 -17.026 -17.017 -17.067 -17.130 -17.180 -17.229 -17.260 -17.318 -17.276 ---------------------------------------------------------------------------------------------------------------------------------- 2 -2.898 -2.935 -3.333 -3.464 -3.602 -3.751 -3.906 -4.064 -3.888 -4.046 -4.277 -4.434 -4.591 -4.640 -4.848 -4.484 3 -2.315 -2.346 -2.422 -2.457 -2.494 -2.532 -2.570 -2.607 -2.601 -2.639 -2.687 -2.725 -2.762 -2.786 -2.831 -2.798 4 -2.048 -2.077 -2.191 -2.234 -2.282 -2.331 -2.382 -2.433 -2.403 -2.454 -2.521 -2.572 -2.621 -2.646 -2.708 -2.634 5 -2.400 -2.431 -2.553 -2.598 -2.644 -2.691 -2.737 -2.782 -2.764 -2.810 -2.867 -2.910 -2.952 -2.976 -3.026 -2.981 6 -2.555 -2.584 -2.679 -2.718 -2.757 -2.797 -2.838 -2.878 -2.867 -2.907 -2.957 -2.996 -3.035 -3.059 -3.105 -3.067 7 -2.669 -2.698 -2.781 -2.817 -2.856 -2.895 -2.935 -2.975 -2.963 -3.003 -3.053 -3.093 -3.132 -3.155 -3.202 -3.162 8 -2.742 -2.771 -2.855 -2.892 -2.930 -2.969 -3.009 -3.049 -3.037 -3.077 -3.129 -3.169 -3.210 -3.233 -3.282 -3.237 9 -2.838 -2.868 -2.965 -3.006 -3.050 -3.096 -3.143 -3.191 -3.167 -3.215 -3.279 -3.328 -3.378 -3.402 -3.466 -3.392 10 -2.941 -2.970 -3.098 -3.147 -3.202 -3.266 -3.334 -3.405 -3.349 -3.419 -3.520 -3.595 -3.673 -3.704 -3.809 -3.653 11 -2.876 -2.906 -2.982 -3.017 -3.054 -3.091 -3.129 -3.167 -3.160 -3.198 -3.246 -3.283 -3.321 -3.345 -3.390 -3.356 12 -2.469 -2.496 -2.575 -2.610 -2.648 -2.687 -2.726 -2.765 -2.751 -2.790 -2.840 -2.879 -2.918 -2.939 -2.986 -2.942 13 -2.549 -2.575 -2.677 -2.717 -2.760 -2.803 -2.847 -2.890 -2.869 -2.912 -2.969 -3.011 -3.053 -3.075 -3.128 -3.070 14 -2.578 -2.606 -2.711 -2.752 -2.796 -2.842 -2.888 -2.935 -2.909 -2.957 -3.020 -3.068 -3.115 -3.139 -3.198 -3.129 15 -2.676 -2.705 -2.830 -2.877 -2.927 -2.979 -3.032 -3.085 -3.053 -3.106 -3.176 -3.227 -3.278 -3.303 -3.365 -3.291 16 -2.809 -2.839 -2.975 -3.024 -3.075 -3.126 -3.178 -3.228 -3.201 -3.252 -3.317 -3.365 -3.411 -3.436 -3.491 -3.433 17 -2.947 -2.976 -3.103 -3.149 -3.196 -3.243 -3.289 -3.334 -3.315 -3.361 -3.418 -3.461 -3.503 -3.527 -3.578 -3.530 18 -3.077 -3.107 -3.216 -3.257 -3.299 -3.341 -3.383 -3.424 -3.411 -3.452 -3.503 -3.543 -3.584 -3.607 -3.656 -3.613 19 -3.083 -3.113 -3.204 -3.242 -3.282 -3.321 -3.360 -3.399 -3.391 -3.430 -3.479 -3.517 -3.556 -3.579 -3.625 -3.590 20 -2.682 -2.708 -2.785 -2.819 -2.854 -2.889 -2.926 -2.963 -2.952 -2.990 -3.037 -3.073 -3.110 -3.132 -3.176 -3.139 21 -2.696 -2.724 -2.808 -2.843 -2.881 -2.919 -2.958 -2.997 -2.986 -3.025 -3.074 -3.113 -3.151 -3.174 -3.220 -3.180 22 -2.732 -2.761 -2.845 -2.881 -2.919 -2.958 -2.998 -3.037 -3.025 -3.064 -3.114 -3.153 -3.192 -3.215 -3.262 -3.220 23 -2.767 -2.795 -2.881 -2.918 -2.957 -2.997 -3.037 -3.077 -3.063 -3.104 -3.156 -3.196 -3.236 -3.258 -3.307 -3.261 24 -2.790 -2.818 -2.907 -2.944 -2.984 -3.024 -3.065 -3.107 -3.090 -3.132 -3.186 -3.228 -3.269 -3.292 -3.343 -3.292 25 -2.806 -2.834 -2.920 -2.957 -2.996 -3.036 -3.077 -3.118 -3.103 -3.144 -3.196 -3.237 -3.278 -3.301 -3.351 -3.302 26 -2.838 -2.866 -2.961 -3.000 -3.041 -3.084 -3.127 -3.170 -3.151 -3.194 -3.252 -3.296 -3.340 -3.363 -3.417 -3.359 27 -2.864 -2.892 -2.986 -3.025 -3.066 -3.109 -3.153 -3.198 -3.177 -3.222 -3.280 -3.325 -3.370 -3.393 -3.448 -3.388 28 -2.882 -2.910 -3.009 -3.050 -3.094 -3.139 -3.186 -3.232 -3.208 -3.255 -3.317 -3.364 -3.410 -3.434 -3.492 -3.426 29 -2.954 -2.982 -3.084 -3.124 -3.166 -3.209 -3.253 -3.296 -3.274 -3.317 -3.382 -3.432 -3.481 -3.505 -3.566 -3.494 30 -2.959 -2.986 -3.087 -3.130 -3.175 -3.222 -3.271 -3.319 -3.292 -3.341 -3.406 -3.453 -3.500 -3.523 -3.581 -3.513 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 qcvz -17.276 -17.276 -17.216 -17.241 -17.241 -17.180 -17.204 -17.204 -17.144 -17.169 -17.169 -17.110 -17.149 ---------------------------------------------------------------------------------------------------------- 2 -4.372 -4.267 -3.887 -3.912 -3.829 -3.511 -3.535 -3.470 -3.205 -3.231 -3.180 -2.965 -3.031 3 -2.799 -2.800 -2.757 -2.776 -2.777 -2.736 -2.754 -2.756 -2.716 -2.735 -2.737 -2.698 -2.727 4 -2.619 -2.606 -2.522 -2.540 -2.530 -2.456 -2.473 -2.466 -2.402 -2.420 -2.416 -2.358 -2.389 5 -2.976 -2.971 -2.905 -2.924 -2.917 -2.843 -2.863 -2.854 -2.773 -2.793 -2.783 -2.697 -2.736 6 -3.065 -3.063 -3.012 -3.031 -3.029 -2.976 -2.995 -2.992 -2.935 -2.955 -2.951 -2.888 -2.923 7 -3.159 -3.157 -3.108 -3.127 -3.126 -3.079 -3.097 -3.097 -3.051 -3.070 -3.070 -3.023 -3.054 8 -3.234 -3.231 -3.179 -3.198 -3.197 -3.150 -3.168 -3.168 -3.124 -3.143 -3.143 -3.101 -3.130 9 -3.379 -3.369 -3.299 -3.317 -3.312 -3.253 -3.272 -3.269 -3.218 -3.237 -3.236 -3.190 -3.220 10 -3.615 -3.583 -3.453 -3.472 -3.454 -3.359 -3.378 -3.368 -3.299 -3.317 -3.313 -3.255 -3.287 11 -3.356 -3.357 -3.313 -3.332 -3.333 -3.292 -3.310 -3.312 -3.272 -3.290 -3.292 -3.254 -3.283 12 -2.938 -2.934 -2.882 -2.900 -2.898 -2.850 -2.867 -2.866 -2.821 -2.839 -2.838 -2.797 -2.825 13 -3.061 -3.053 -2.988 -3.005 -2.999 -2.939 -2.957 -2.952 -2.896 -2.913 -2.910 -2.856 -2.887 14 -3.116 -3.104 -3.027 -3.045 -3.037 -2.972 -2.990 -2.985 -2.927 -2.945 -2.941 -2.888 -2.919 15 -3.276 -3.261 -3.169 -3.188 -3.175 -3.092 -3.110 -3.101 -3.027 -3.045 -3.038 -2.972 -3.005 16 -3.423 -3.412 -3.328 -3.347 -3.335 -3.246 -3.265 -3.253 -3.164 -3.184 -3.172 -3.088 -3.126 17 -3.524 -3.518 -3.449 -3.468 -3.460 -3.383 -3.402 -3.393 -3.308 -3.328 -3.317 -3.229 -3.269 18 -3.610 -3.606 -3.552 -3.571 -3.568 -3.508 -3.527 -3.522 -3.455 -3.474 -3.468 -3.391 -3.429 19 -3.589 -3.589 -3.542 -3.561 -3.561 -3.513 -3.532 -3.531 -3.478 -3.498 -3.496 -3.436 -3.471 20 -3.137 -3.135 -3.089 -3.106 -3.106 -3.063 -3.080 -3.080 -3.039 -3.056 -3.057 -3.017 -3.045 21 -3.177 -3.175 -3.126 -3.144 -3.143 -3.096 -3.114 -3.114 -3.068 -3.086 -3.086 -3.040 -3.070 22 -3.216 -3.213 -3.163 -3.181 -3.180 -3.132 -3.150 -3.149 -3.103 -3.121 -3.121 -3.075 -3.105 23 -3.257 -3.253 -3.200 -3.218 -3.216 -3.166 -3.184 -3.183 -3.137 -3.155 -3.154 -3.109 -3.139 24 -3.286 -3.280 -3.223 -3.241 -3.238 -3.187 -3.205 -3.203 -3.156 -3.174 -3.173 -3.127 -3.157 25 -3.297 -3.293 -3.238 -3.256 -3.254 -3.205 -3.223 -3.222 -3.176 -3.194 -3.194 -3.150 -3.179 26 -3.350 -3.342 -3.278 -3.296 -3.292 -3.236 -3.254 -3.251 -3.200 -3.218 -3.216 -3.168 -3.198 27 -3.378 -3.370 -3.305 -3.323 -3.318 -3.261 -3.279 -3.276 -3.226 -3.244 -3.243 -3.196 -3.226 28 -3.414 -3.403 -3.332 -3.349 -3.343 -3.281 -3.298 -3.294 -3.239 -3.257 -3.255 -3.205 -3.235 29 -3.480 -3.468 -3.391 -3.408 -3.402 -3.342 -3.359 -3.355 -3.299 -3.317 -3.314 -3.263 -3.293 30 -3.500 -3.489 -3.411 -3.429 -3.420 -3.353 -3.370 -3.365 -3.305 -3.323 -3.320 -3.269 -3.299 ================================================================================================================================== 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 1.345 1.227 1.038 0.782 0.507 0.258 0.059 -0.090 -0.210 -0.314 -0.411 -0.508 -0.601 -0.705 -0.810 -0.922 ---------------------------------------------------------------------------------------------------------------------------------- 2 -6.263 -6.148 -6.006 -5.829 -5.652 -5.500 -5.387 -5.303 -5.240 -5.188 -5.140 -5.089 -5.040 -4.985 -4.931 -4.874 3 -6.039 -5.920 -5.778 -5.608 -5.441 -5.296 -5.183 -5.099 -5.033 -4.977 -4.925 -4.873 -4.824 -4.768 -4.712 -4.651 4 -6.021 -5.902 -5.757 -5.583 -5.413 -5.265 -5.150 -5.064 -4.998 -4.942 -4.889 -4.837 -4.788 -4.732 -4.676 -4.617 5 -6.013 -5.896 -5.749 -5.571 -5.397 -5.246 -5.128 -5.042 -4.975 -4.918 -4.865 -4.813 -4.764 -4.709 -4.653 -4.593 6 -6.025 -5.911 -5.764 -5.582 -5.404 -5.250 -5.131 -5.043 -4.975 -4.918 -4.865 -4.813 -4.764 -4.708 -4.652 -4.594 7 -5.997 -5.886 -5.739 -5.555 -5.374 -5.218 -5.097 -5.008 -4.940 -4.882 -4.829 -4.776 -4.727 -4.671 -4.615 -4.556 8 -5.971 -5.862 -5.716 -5.531 -5.348 -5.189 -5.067 -4.977 -4.908 -4.850 -4.796 -4.743 -4.693 -4.637 -4.581 -4.522 9 -5.919 -5.812 -5.666 -5.481 -5.296 -5.136 -5.012 -4.921 -4.852 -4.793 -4.738 -4.685 -4.635 -4.578 -4.522 -4.462 10 -5.919 -5.814 -5.670 -5.483 -5.297 -5.135 -5.010 -4.918 -4.848 -4.788 -4.733 -4.680 -4.629 -4.572 -4.515 -4.455 11 -5.880 -5.776 -5.632 -5.446 -5.259 -5.096 -4.969 -4.877 -4.806 -4.746 -4.690 -4.636 -4.585 -4.528 -4.470 -4.410 12 -5.876 -5.773 -5.630 -5.444 -5.256 -5.091 -4.964 -4.870 -4.798 -4.738 -4.682 -4.627 -4.576 -4.518 -4.460 -4.399 13 -5.844 -5.743 -5.601 -5.415 -5.226 -5.060 -4.931 -4.837 -4.765 -4.704 -4.647 -4.592 -4.540 -4.482 -4.424 -4.362 14 -5.843 -5.743 -5.602 -5.415 -5.225 -5.059 -4.929 -4.834 -4.761 -4.699 -4.642 -4.586 -4.535 -4.476 -4.417 -4.355 15 -5.811 -5.712 -5.571 -5.385 -5.195 -5.027 -4.897 -4.801 -4.728 -4.665 -4.608 -4.552 -4.499 -4.440 -4.381 -4.319 16 -5.810 -5.712 -5.571 -5.385 -5.194 -5.026 -4.894 -4.798 -4.724 -4.661 -4.603 -4.547 -4.494 -4.434 -4.375 -4.313 17 -5.775 -5.677 -5.537 -5.350 -5.159 -4.990 -4.858 -4.762 -4.687 -4.624 -4.566 -4.509 -4.456 -4.396 -4.336 -4.273 18 -5.730 -5.633 -5.492 -5.306 -5.115 -4.946 -4.813 -4.716 -4.641 -4.577 -4.519 -4.461 -4.408 -4.347 -4.288 -4.225 19 -5.752 -5.656 -5.516 -5.329 -5.137 -4.967 -4.834 -4.736 -4.661 -4.597 -4.538 -4.480 -4.426 -4.366 -4.306 -4.242 20 -5.751 -5.655 -5.516 -5.329 -5.137 -4.966 -4.832 -4.734 -4.658 -4.594 -4.534 -4.476 -4.422 -4.361 -4.301 -4.238 21 -5.706 -5.611 -5.471 -5.285 -5.092 -4.921 -4.787 -4.688 -4.612 -4.547 -4.488 -4.429 -4.375 -4.314 -4.253 -4.190 22 -5.685 -5.590 -5.451 -5.265 -5.071 -4.900 -4.765 -4.666 -4.590 -4.525 -4.465 -4.407 -4.352 -4.291 -4.230 -4.166 23 -5.665 -5.570 -5.431 -5.245 -5.051 -4.879 -4.744 -4.645 -4.568 -4.503 -4.443 -4.384 -4.329 -4.268 -4.207 -4.143 24 -5.663 -5.569 -5.431 -5.244 -5.050 -4.878 -4.742 -4.642 -4.565 -4.500 -4.440 -4.381 -4.326 -4.264 -4.203 -4.139 25 -5.645 -5.552 -5.413 -5.226 -5.032 -4.859 -4.723 -4.623 -4.546 -4.481 -4.420 -4.361 -4.306 -4.244 -4.182 -4.118 26 -5.645 -5.552 -5.413 -5.226 -5.032 -4.858 -4.722 -4.622 -4.545 -4.479 -4.418 -4.359 -4.303 -4.241 -4.180 -4.115 27 -5.627 -5.534 -5.395 -5.209 -5.013 -4.840 -4.703 -4.603 -4.525 -4.459 -4.398 -4.339 -4.283 -4.221 -4.159 -4.095 28 -5.635 -5.543 -5.404 -5.217 -5.022 -4.848 -4.711 -4.610 -4.533 -4.466 -4.405 -4.345 -4.290 -4.227 -4.166 -4.101 29 -5.604 -5.512 -5.374 -5.187 -4.991 -4.817 -4.680 -4.579 -4.501 -4.435 -4.373 -4.314 -4.258 -4.195 -4.133 -4.068 30 -5.597 -5.505 -5.367 -5.180 -4.984 -4.809 -4.672 -4.571 -4.493 -4.426 -4.365 -4.305 -4.249 -4.186 -4.124 -4.059 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 -1.042 -1.173 -1.322 -1.494 -1.691 -1.922 -2.186 -2.489 -2.825 -3.194 -3.612 -4.053 -4.509 -4.990 -5.628 -5.974 ---------------------------------------------------------------------------------------------------------------------------------- 2 -4.811 -4.742 -4.660 -4.568 -4.458 -4.333 -4.162 -3.970 -3.748 -3.499 -3.191 -2.815 -2.411 -2.037 -1.606 -1.078 3 -4.585 -4.514 -4.431 -4.334 -4.222 -4.092 -3.867 -3.554 -3.172 -2.845 -2.613 -2.342 -2.042 -1.739 -1.378 -1.196 4 -4.553 -4.484 -4.401 -4.306 -4.196 -4.066 -3.876 -3.632 -3.349 -3.116 -2.903 -2.665 -2.407 -2.127 -1.762 -1.521 5 -4.530 -4.461 -4.380 -4.286 -4.177 -4.047 -3.870 -3.669 -3.471 -3.283 -3.073 -2.815 -2.520 -2.171 -1.637 -1.236 6 -4.530 -4.461 -4.380 -4.287 -4.178 -4.049 -3.870 -3.650 -3.406 -3.165 -2.911 -2.646 -2.348 -1.993 -1.466 -1.030 7 -4.492 -4.423 -4.342 -4.248 -4.139 -4.009 -3.841 -3.640 -3.415 -3.172 -2.871 -2.545 -2.198 -1.843 -1.279 -0.874 8 -4.457 -4.388 -4.306 -4.211 -4.102 -3.971 -3.783 -3.536 -3.244 -2.956 -2.679 -2.369 -2.030 -1.704 -1.114 -0.786 9 -4.397 -4.327 -4.245 -4.149 -4.039 -3.908 -3.713 -3.457 -3.157 -2.870 -2.607 -2.313 -1.981 -1.641 -0.978 -0.701 10 -4.390 -4.320 -4.237 -4.141 -4.029 -3.897 -3.698 -3.426 -3.093 -2.775 -2.481 -2.138 -1.835 -1.525 -0.876 -0.634 11 -4.344 -4.273 -4.190 -4.093 -3.981 -3.848 -3.641 -3.359 -3.019 -2.703 -2.422 -2.097 -1.776 -1.441 -0.830 -0.636 12 -4.333 -4.262 -4.178 -4.081 -3.968 -3.835 -3.619 -3.326 -2.985 -2.697 -2.456 -2.161 -1.874 -1.594 -1.240 -1.050 13 -4.296 -4.224 -4.140 -4.042 -3.929 -3.795 -3.603 -3.361 -3.094 -2.842 -2.605 -2.361 -2.102 -1.806 -1.317 -0.995 14 -4.289 -4.217 -4.132 -4.034 -3.920 -3.786 -3.604 -3.381 -3.141 -2.907 -2.670 -2.398 -2.103 -1.787 -1.284 -0.981 15 -4.252 -4.180 -4.095 -3.996 -3.882 -3.747 -3.584 -3.407 -3.224 -3.015 -2.750 -2.454 -2.131 -1.777 -1.225 -0.915 16 -4.245 -4.173 -4.088 -3.989 -3.874 -3.739 -3.580 -3.403 -3.209 -2.988 -2.714 -2.407 -2.071 -1.708 -1.160 -0.819 17 -4.205 -4.133 -4.047 -3.948 -3.833 -3.698 -3.520 -3.297 -3.047 -2.794 -2.522 -2.219 -1.909 -1.579 -1.066 -0.691 18 -4.156 -4.083 -3.998 -3.898 -3.783 -3.648 -3.487 -3.298 -3.083 -2.839 -2.537 -2.196 -1.864 -1.505 -0.966 -0.546 19 -4.174 -4.101 -4.015 -3.915 -3.800 -3.665 -3.474 -3.239 -2.979 -2.733 -2.480 -2.184 -1.838 -1.454 -0.912 -0.500 20 -4.169 -4.096 -4.010 -3.910 -3.795 -3.660 -3.492 -3.280 -3.019 -2.741 -2.450 -2.132 -1.811 -1.483 -1.026 -0.835 21 -4.121 -4.047 -3.961 -3.861 -3.746 -3.611 -3.432 -3.217 -2.976 -2.727 -2.464 -2.188 -1.894 -1.586 -1.122 -0.837 22 -4.097 -4.023 -3.937 -3.837 -3.722 -3.587 -3.412 -3.212 -3.001 -2.773 -2.475 -2.183 -1.884 -1.563 -1.090 -0.802 23 -4.074 -4.000 -3.913 -3.813 -3.698 -3.563 -3.389 -3.178 -2.947 -2.724 -2.469 -2.187 -1.884 -1.560 -1.072 -0.769 24 -4.069 -3.995 -3.909 -3.809 -3.694 -3.558 -3.384 -3.181 -2.964 -2.740 -2.480 -2.192 -1.879 -1.547 -1.047 -0.748 25 -4.049 -3.974 -3.888 -3.788 -3.673 -3.538 -3.367 -3.171 -2.957 -2.733 -2.479 -2.194 -1.876 -1.532 -1.008 -0.723 26 -4.046 -3.971 -3.885 -3.785 -3.670 -3.535 -3.370 -3.179 -2.962 -2.725 -2.457 -2.165 -1.851 -1.514 -1.007 -0.706 27 -4.025 -3.951 -3.864 -3.764 -3.649 -3.514 -3.339 -3.132 -2.907 -2.681 -2.427 -2.137 -1.815 -1.471 -0.945 -0.676 28 -4.031 -3.957 -3.870 -3.770 -3.655 -3.520 -3.341 -3.126 -2.893 -2.661 -2.406 -2.114 -1.796 -1.457 -0.929 -0.664 29 -3.999 -3.924 -3.838 -3.737 -3.622 -3.488 -3.321 -3.111 -2.847 -2.547 -2.234 -1.891 -1.547 -1.213 -0.808 -0.592 30 -3.990 -3.915 -3.828 -3.728 -3.613 -3.479 -3.304 -3.077 -2.783 -2.459 -2.148 -1.834 -1.531 -1.226 -0.817 -0.593 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 -6.126 -6.163 -6.247 -6.288 -6.329 -6.369 -6.411 -6.453 -6.453 -6.495 -6.546 -6.589 -6.631 -6.661 -6.711 -6.683 ---------------------------------------------------------------------------------------------------------------------------------- 2 -0.527 -0.493 -0.118 0.005 0.133 0.273 0.418 0.568 0.401 0.551 0.770 0.920 1.070 1.117 1.317 0.968 3 -1.110 -1.082 -1.030 -1.002 -0.974 -0.947 -0.918 -0.889 -0.885 -0.856 -0.820 -0.789 -0.758 -0.736 -0.699 -0.717 4 -1.377 -1.350 -1.260 -1.224 -1.186 -1.147 -1.106 -1.064 -1.083 -1.041 -0.985 -0.942 -0.899 -0.876 -0.823 -0.881 5 -1.025 -0.997 -0.899 -0.861 -0.824 -0.788 -0.751 -0.714 -0.722 -0.685 -0.640 -0.604 -0.568 -0.546 -0.504 -0.534 6 -0.871 -0.843 -0.773 -0.741 -0.711 -0.681 -0.650 -0.618 -0.620 -0.588 -0.550 -0.518 -0.485 -0.464 -0.425 -0.449 7 -0.757 -0.730 -0.670 -0.641 -0.612 -0.583 -0.553 -0.522 -0.523 -0.492 -0.453 -0.421 -0.389 -0.368 -0.329 -0.354 8 -0.684 -0.657 -0.597 -0.567 -0.538 -0.509 -0.478 -0.447 -0.450 -0.418 -0.378 -0.344 -0.311 -0.289 -0.248 -0.278 9 -0.587 -0.560 -0.487 -0.453 -0.419 -0.383 -0.345 -0.305 -0.320 -0.280 -0.228 -0.186 -0.143 -0.120 -0.065 -0.124 10 -0.484 -0.458 -0.354 -0.311 -0.266 -0.212 -0.154 -0.091 -0.138 -0.076 0.013 0.082 0.153 0.182 0.279 0.137 11 -0.550 -0.522 -0.470 -0.442 -0.414 -0.387 -0.358 -0.329 -0.326 -0.297 -0.261 -0.230 -0.199 -0.178 -0.141 -0.159 12 -0.956 -0.932 -0.877 -0.848 -0.820 -0.791 -0.762 -0.731 -0.735 -0.705 -0.666 -0.635 -0.603 -0.583 -0.544 -0.573 13 -0.877 -0.853 -0.774 -0.741 -0.709 -0.675 -0.641 -0.606 -0.618 -0.583 -0.538 -0.503 -0.468 -0.448 -0.403 -0.445 14 -0.848 -0.822 -0.741 -0.707 -0.672 -0.637 -0.599 -0.561 -0.577 -0.539 -0.486 -0.446 -0.405 -0.383 -0.332 -0.387 15 -0.750 -0.723 -0.621 -0.581 -0.541 -0.499 -0.455 -0.411 -0.434 -0.389 -0.331 -0.287 -0.243 -0.219 -0.166 -0.224 16 -0.616 -0.589 -0.477 -0.435 -0.394 -0.352 -0.310 -0.268 -0.285 -0.243 -0.189 -0.149 -0.109 -0.087 -0.040 -0.083 17 -0.479 -0.451 -0.348 -0.310 -0.273 -0.235 -0.198 -0.162 -0.172 -0.134 -0.089 -0.053 -0.017 0.005 0.047 0.014 18 -0.349 -0.321 -0.236 -0.202 -0.169 -0.137 -0.105 -0.072 -0.076 -0.043 -0.004 0.029 0.063 0.085 0.125 0.098 19 -0.343 -0.314 -0.247 -0.216 -0.187 -0.157 -0.127 -0.097 -0.096 -0.065 -0.028 0.004 0.035 0.057 0.094 0.074 20 -0.744 -0.719 -0.666 -0.640 -0.615 -0.589 -0.562 -0.533 -0.534 -0.505 -0.470 -0.440 -0.410 -0.391 -0.355 -0.377 21 -0.730 -0.703 -0.644 -0.615 -0.587 -0.559 -0.529 -0.499 -0.501 -0.470 -0.432 -0.401 -0.369 -0.349 -0.311 -0.336 22 -0.693 -0.667 -0.606 -0.577 -0.549 -0.520 -0.490 -0.459 -0.462 -0.431 -0.392 -0.360 -0.328 -0.307 -0.268 -0.296 23 -0.659 -0.633 -0.570 -0.541 -0.512 -0.482 -0.451 -0.419 -0.423 -0.391 -0.351 -0.318 -0.285 -0.264 -0.223 -0.254 24 -0.635 -0.610 -0.545 -0.514 -0.485 -0.454 -0.422 -0.389 -0.396 -0.363 -0.321 -0.286 -0.251 -0.230 -0.188 -0.224 25 -0.620 -0.594 -0.531 -0.502 -0.472 -0.442 -0.411 -0.378 -0.384 -0.351 -0.310 -0.277 -0.243 -0.222 -0.180 -0.213 26 -0.588 -0.562 -0.491 -0.458 -0.427 -0.394 -0.361 -0.326 -0.336 -0.301 -0.255 -0.218 -0.181 -0.160 -0.113 -0.157 27 -0.561 -0.536 -0.466 -0.434 -0.403 -0.369 -0.334 -0.298 -0.310 -0.274 -0.226 -0.189 -0.151 -0.129 -0.082 -0.128 28 -0.543 -0.518 -0.443 -0.409 -0.375 -0.339 -0.302 -0.264 -0.278 -0.240 -0.190 -0.150 -0.110 -0.088 -0.038 -0.090 29 -0.471 -0.446 -0.368 -0.335 -0.302 -0.269 -0.235 -0.200 -0.212 -0.178 -0.124 -0.082 -0.040 -0.017 0.035 -0.022 30 -0.467 -0.442 -0.365 -0.329 -0.293 -0.256 -0.217 -0.177 -0.194 -0.154 -0.101 -0.061 -0.021 0.001 0.051 -0.002 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 rho -6.688 -6.692 -6.651 -6.674 -6.678 -6.636 -6.659 -6.663 -6.621 -6.643 -6.647 -6.603 -6.637 ---------------------------------------------------------------------------------------------------------- 2 0.861 0.761 0.399 0.423 0.344 0.044 0.067 0.006 -0.242 -0.217 -0.265 -0.464 -0.403 3 -0.712 -0.707 -0.731 -0.714 -0.708 -0.731 -0.714 -0.708 -0.730 -0.713 -0.708 -0.731 -0.707 4 -0.891 -0.900 -0.966 -0.950 -0.955 -1.011 -0.995 -0.998 -1.044 -1.028 -1.029 -1.071 -1.045 5 -0.534 -0.535 -0.583 -0.565 -0.568 -0.623 -0.606 -0.610 -0.673 -0.655 -0.662 -0.732 -0.698 6 -0.446 -0.443 -0.476 -0.458 -0.456 -0.490 -0.473 -0.472 -0.511 -0.494 -0.494 -0.541 -0.511 7 -0.351 -0.349 -0.380 -0.363 -0.359 -0.388 -0.371 -0.367 -0.395 -0.378 -0.375 -0.406 -0.380 8 -0.277 -0.276 -0.309 -0.292 -0.288 -0.316 -0.300 -0.296 -0.322 -0.305 -0.301 -0.328 -0.304 9 -0.131 -0.137 -0.189 -0.172 -0.173 -0.213 -0.197 -0.195 -0.228 -0.211 -0.209 -0.239 -0.214 10 0.105 0.077 -0.035 -0.017 -0.031 -0.107 -0.090 -0.096 -0.148 -0.131 -0.132 -0.174 -0.147 11 -0.155 -0.150 -0.174 -0.157 -0.152 -0.175 -0.158 -0.152 -0.175 -0.158 -0.152 -0.175 -0.152 12 -0.573 -0.572 -0.605 -0.589 -0.587 -0.617 -0.601 -0.598 -0.625 -0.610 -0.606 -0.632 -0.609 13 -0.449 -0.453 -0.500 -0.484 -0.486 -0.527 -0.512 -0.512 -0.551 -0.535 -0.535 -0.573 -0.547 14 -0.395 -0.402 -0.460 -0.444 -0.448 -0.494 -0.478 -0.479 -0.520 -0.503 -0.503 -0.541 -0.516 15 -0.235 -0.246 -0.318 -0.301 -0.310 -0.374 -0.358 -0.363 -0.420 -0.403 -0.407 -0.457 -0.429 16 -0.088 -0.094 -0.160 -0.143 -0.150 -0.220 -0.203 -0.211 -0.282 -0.264 -0.272 -0.341 -0.308 17 0.013 0.011 -0.039 -0.022 -0.025 -0.083 -0.066 -0.072 -0.138 -0.120 -0.127 -0.200 -0.165 18 0.099 0.100 0.064 0.081 0.083 0.041 0.059 0.058 0.008 0.026 0.023 -0.038 -0.005 19 0.079 0.083 0.054 0.072 0.076 0.046 0.063 0.067 0.032 0.050 0.051 0.007 0.037 20 -0.374 -0.371 -0.399 -0.383 -0.379 -0.404 -0.388 -0.384 -0.407 -0.392 -0.388 -0.412 -0.389 21 -0.333 -0.331 -0.362 -0.345 -0.342 -0.370 -0.354 -0.350 -0.378 -0.362 -0.359 -0.389 -0.364 22 -0.294 -0.293 -0.325 -0.308 -0.305 -0.335 -0.319 -0.315 -0.343 -0.327 -0.324 -0.354 -0.329 23 -0.254 -0.253 -0.288 -0.272 -0.269 -0.300 -0.284 -0.281 -0.310 -0.293 -0.290 -0.320 -0.295 24 -0.225 -0.226 -0.265 -0.248 -0.247 -0.279 -0.263 -0.261 -0.291 -0.274 -0.272 -0.302 -0.277 25 -0.214 -0.214 -0.249 -0.233 -0.231 -0.262 -0.246 -0.242 -0.271 -0.254 -0.251 -0.279 -0.255 26 -0.161 -0.164 -0.210 -0.193 -0.193 -0.230 -0.215 -0.213 -0.247 -0.230 -0.229 -0.261 -0.236 27 -0.132 -0.136 -0.183 -0.166 -0.167 -0.205 -0.189 -0.188 -0.220 -0.204 -0.202 -0.233 -0.208 28 -0.097 -0.103 -0.156 -0.140 -0.142 -0.186 -0.170 -0.170 -0.207 -0.191 -0.190 -0.223 -0.199 29 -0.031 -0.039 -0.097 -0.081 -0.083 -0.124 -0.109 -0.109 -0.147 -0.131 -0.131 -0.166 -0.141 30 -0.011 -0.018 -0.077 -0.060 -0.065 -0.114 -0.098 -0.099 -0.141 -0.125 -0.125 -0.160 -0.135