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 1.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -4.765 -5.266 -5.764 -6.172 -6.453 -6.651 -6.820 -6.982 -7.136 -7.289 -7.446 -7.603 -7.775 -7.964 -8.186 -8.441 ---------------------------------------------------------------------------------------------------------------------------------- 2 6.917 6.574 6.236 5.961 5.773 5.643 5.532 5.427 5.329 5.231 5.133 5.033 4.926 4.808 4.668 4.509 3 6.727 6.374 6.036 5.769 5.590 5.465 5.359 5.258 5.161 5.064 4.965 4.865 4.757 4.638 4.496 4.333 4 6.725 6.370 6.029 5.759 5.579 5.454 5.348 5.248 5.153 5.057 4.959 4.860 4.753 4.634 4.493 4.330 5 6.729 6.371 6.027 5.755 5.573 5.447 5.340 5.240 5.144 5.049 4.952 4.854 4.748 4.630 4.490 4.327 6 6.754 6.393 6.045 5.769 5.585 5.459 5.352 5.251 5.155 5.059 4.962 4.865 4.759 4.643 4.504 4.342 7 6.736 6.372 6.020 5.742 5.557 5.429 5.322 5.221 5.125 5.029 4.932 4.834 4.729 4.613 4.475 4.314 8 6.720 6.353 5.998 5.717 5.531 5.402 5.295 5.193 5.097 5.001 4.904 4.806 4.701 4.585 4.447 4.286 9 6.676 6.306 5.949 5.666 5.478 5.349 5.241 5.139 5.043 4.947 4.849 4.752 4.646 4.530 4.392 4.231 10 6.686 6.313 5.953 5.668 5.479 5.349 5.241 5.139 5.042 4.946 4.848 4.751 4.645 4.529 4.390 4.229 11 6.654 6.279 5.917 5.630 5.440 5.310 5.201 5.099 5.002 4.905 4.808 4.710 4.604 4.487 4.348 4.187 12 6.658 6.281 5.917 5.628 5.437 5.306 5.197 5.094 4.997 4.900 4.802 4.704 4.598 4.481 4.342 4.179 13 6.632 6.255 5.889 5.599 5.407 5.275 5.165 5.062 4.964 4.868 4.769 4.671 4.565 4.448 4.308 4.145 14 6.638 6.259 5.891 5.600 5.407 5.275 5.164 5.061 4.963 4.865 4.767 4.669 4.562 4.444 4.304 4.140 15 6.611 6.232 5.863 5.571 5.377 5.244 5.133 5.029 4.930 4.833 4.734 4.635 4.528 4.410 4.270 4.105 16 6.616 6.235 5.865 5.571 5.377 5.243 5.131 5.027 4.928 4.830 4.731 4.632 4.525 4.406 4.265 4.100 17 6.584 6.204 5.833 5.538 5.343 5.208 5.096 4.991 4.892 4.794 4.694 4.595 4.488 4.369 4.227 4.062 18 6.542 6.161 5.790 5.495 5.299 5.164 5.051 4.946 4.846 4.748 4.648 4.548 4.440 4.321 4.179 4.013 19 6.570 6.189 5.816 5.519 5.322 5.187 5.074 4.968 4.868 4.769 4.668 4.569 4.461 4.341 4.199 4.033 20 6.574 6.192 5.818 5.520 5.322 5.186 5.073 4.966 4.866 4.767 4.666 4.566 4.458 4.338 4.195 4.029 21 6.531 6.149 5.775 5.477 5.278 5.142 5.028 4.921 4.820 4.721 4.619 4.519 4.410 4.290 4.147 3.981 22 6.513 6.131 5.756 5.457 5.258 5.121 5.007 4.900 4.799 4.699 4.597 4.497 4.388 4.267 4.124 3.957 23 6.496 6.113 5.738 5.438 5.239 5.101 4.987 4.879 4.777 4.677 4.575 4.475 4.365 4.245 4.101 3.934 24 6.498 6.114 5.739 5.438 5.238 5.100 4.985 4.877 4.775 4.675 4.573 4.472 4.362 4.241 4.098 3.930 25 6.482 6.099 5.723 5.421 5.221 5.082 4.967 4.858 4.756 4.655 4.553 4.452 4.342 4.221 4.077 3.909 26 6.485 6.101 5.724 5.422 5.221 5.082 4.966 4.858 4.755 4.654 4.551 4.450 4.340 4.219 4.075 3.907 27 6.469 6.085 5.708 5.405 5.203 5.064 4.948 4.839 4.736 4.635 4.532 4.430 4.320 4.198 4.054 3.886 28 6.480 6.096 5.718 5.415 5.212 5.073 4.956 4.847 4.744 4.642 4.539 4.437 4.327 4.205 4.061 3.892 29 6.451 6.066 5.688 5.385 5.182 5.042 4.925 4.815 4.712 4.610 4.507 4.405 4.294 4.172 4.028 3.859 30 6.446 6.061 5.682 5.378 5.175 5.035 4.918 4.808 4.704 4.602 4.498 4.396 4.286 4.163 4.019 3.850 EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -8.743 -9.105 -9.536 -10.049 -10.657 -11.346 -12.105 -12.924 -14.134 -14.642 -14.757 -14.865 -14.905 -14.954 -15.006 -15.058 ---------------------------------------------------------------------------------------------------------------------------------- 2 4.314 4.084 3.800 3.452 3.051 2.600 2.051 1.327 0.204 -0.182 -0.303 -0.442 -0.487 -0.550 -0.621 -0.700 3 4.136 3.899 3.587 3.111 2.429 1.912 1.409 0.787 -0.076 -0.386 -0.462 -0.533 -0.562 -0.597 -0.633 -0.670 4 4.133 3.896 3.583 3.140 2.613 2.155 1.665 1.124 0.339 0.013 -0.069 -0.149 -0.178 -0.216 -0.256 -0.296 5 4.131 3.894 3.587 3.185 2.755 2.339 1.863 1.312 0.337 -0.140 -0.254 -0.372 -0.409 -0.461 -0.515 -0.573 6 4.146 3.909 3.609 3.229 2.814 2.356 1.800 1.203 0.178 -0.319 -0.458 -0.592 -0.632 -0.685 -0.740 -0.796 7 4.118 3.881 3.589 3.226 2.799 2.306 1.742 1.098 0.053 -0.539 -0.679 -0.798 -0.834 -0.879 -0.926 -0.972 8 4.091 3.854 3.565 3.206 2.743 2.190 1.564 0.935 -0.077 -0.713 -0.824 -0.915 -0.947 -0.986 -1.026 -1.065 9 4.036 3.799 3.501 3.109 2.591 2.040 1.449 0.832 -0.196 -0.830 -0.925 -1.007 -1.038 -1.075 -1.114 -1.153 10 4.034 3.796 3.500 3.108 2.579 2.003 1.393 0.735 -0.321 -0.895 -0.978 -1.056 -1.087 -1.125 -1.164 -1.205 11 3.991 3.752 3.451 3.030 2.446 1.858 1.283 0.656 -0.451 -0.943 -1.019 -1.091 -1.120 -1.155 -1.191 -1.228 12 3.983 3.744 3.436 2.961 2.256 1.757 1.258 0.664 -0.164 -0.484 -0.559 -0.629 -0.657 -0.691 -0.727 -0.763 13 3.948 3.708 3.402 2.970 2.412 1.926 1.408 0.870 0.044 -0.432 -0.540 -0.643 -0.675 -0.716 -0.758 -0.800 14 3.943 3.702 3.391 2.967 2.478 2.026 1.533 0.965 0.014 -0.489 -0.591 -0.682 -0.713 -0.753 -0.793 -0.834 15 3.907 3.666 3.361 2.976 2.572 2.133 1.601 0.978 -0.038 -0.553 -0.652 -0.744 -0.776 -0.817 -0.859 -0.902 16 3.902 3.660 3.360 3.000 2.604 2.132 1.574 0.937 -0.105 -0.611 -0.712 -0.813 -0.846 -0.891 -0.939 -0.988 17 3.862 3.620 3.332 3.001 2.582 2.020 1.428 0.801 -0.214 -0.696 -0.805 -0.917 -0.954 -1.003 -1.056 -1.111 18 3.813 3.571 3.279 2.936 2.514 1.991 1.417 0.753 -0.309 -0.804 -0.921 -1.056 -1.097 -1.154 -1.213 -1.275 19 3.832 3.589 3.295 2.900 2.382 1.856 1.308 0.718 -0.352 -0.845 -0.991 -1.135 -1.177 -1.233 -1.291 -1.348 20 3.828 3.585 3.296 2.952 2.505 1.937 1.327 0.679 -0.349 -0.705 -0.780 -0.852 -0.880 -0.914 -0.950 -0.986 21 3.780 3.536 3.234 2.819 2.306 1.837 1.286 0.692 -0.187 -0.640 -0.744 -0.838 -0.870 -0.911 -0.952 -0.994 22 3.756 3.512 3.209 2.789 2.304 1.858 1.332 0.722 -0.215 -0.675 -0.779 -0.875 -0.906 -0.947 -0.988 -1.030 23 3.732 3.488 3.198 2.846 2.394 1.867 1.315 0.710 -0.230 -0.708 -0.816 -0.911 -0.943 -0.983 -1.024 -1.065 24 3.728 3.484 3.189 2.809 2.346 1.866 1.321 0.711 -0.246 -0.734 -0.839 -0.932 -0.963 -1.003 -1.043 -1.084 25 3.707 3.463 3.165 2.792 2.356 1.853 1.300 0.705 -0.272 -0.778 -0.878 -0.966 -0.996 -1.034 -1.073 -1.112 26 3.705 3.460 3.165 2.801 2.363 1.869 1.307 0.688 -0.281 -0.773 -0.879 -0.971 -1.002 -1.042 -1.082 -1.122 27 3.684 3.440 3.146 2.778 2.303 1.784 1.246 0.651 -0.331 -0.834 -0.928 -1.011 -1.041 -1.078 -1.117 -1.156 28 3.690 3.446 3.154 2.787 2.291 1.756 1.227 0.630 -0.345 -0.845 -0.936 -1.018 -1.048 -1.085 -1.123 -1.162 29 3.657 3.413 3.124 2.774 2.341 1.824 1.221 0.518 -0.573 -0.921 -1.001 -1.076 -1.104 -1.139 -1.176 -1.215 30 3.648 3.404 3.113 2.760 2.314 1.782 1.151 0.421 -0.549 -0.927 -1.006 -1.082 -1.111 -1.148 -1.186 -1.224 EL Teff[K] log g = 7.500 log(qvz) including 1.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -15.111 -15.163 -15.216 -15.267 -15.319 -15.379 -15.429 -15.913 -15.900 -15.886 -15.870 -15.854 -15.838 -15.860 -15.860 -15.796 ---------------------------------------------------------------------------------------------------------------------------------- 2 -0.786 -0.879 -0.979 -1.085 -1.198 -1.351 -1.476 -3.831 -3.585 -3.353 -3.134 -2.928 -2.729 -2.736 -2.633 -2.237 3 -0.707 -0.744 -0.781 -0.818 -0.855 -0.897 -0.933 -1.287 -1.277 -1.267 -1.257 -1.246 -1.236 -1.254 -1.256 -1.212 4 -0.337 -0.379 -0.421 -0.463 -0.507 -0.558 -0.602 -1.177 -1.137 -1.099 -1.062 -1.026 -0.995 -1.009 -0.998 -0.916 5 -0.632 -0.692 -0.752 -0.812 -0.871 -0.941 -0.996 -1.490 -1.476 -1.460 -1.443 -1.424 -1.405 -1.422 -1.417 -1.343 6 -0.851 -0.905 -0.957 -1.007 -1.055 -1.111 -1.155 -1.557 -1.545 -1.532 -1.519 -1.506 -1.493 -1.510 -1.510 -1.457 7 -1.016 -1.060 -1.102 -1.143 -1.183 -1.230 -1.268 -1.652 -1.636 -1.622 -1.608 -1.595 -1.582 -1.599 -1.600 -1.552 8 -1.104 -1.144 -1.182 -1.221 -1.259 -1.303 -1.340 -1.731 -1.713 -1.696 -1.681 -1.666 -1.653 -1.670 -1.669 -1.620 9 -1.192 -1.231 -1.271 -1.310 -1.349 -1.396 -1.435 -1.950 -1.905 -1.867 -1.835 -1.806 -1.782 -1.798 -1.792 -1.728 10 -1.246 -1.288 -1.330 -1.372 -1.416 -1.468 -1.515 -2.442 -2.321 -2.217 -2.130 -2.056 -1.992 -2.005 -1.980 -1.861 11 -1.265 -1.302 -1.339 -1.376 -1.412 -1.455 -1.491 -1.845 -1.835 -1.824 -1.813 -1.803 -1.793 -1.810 -1.812 -1.768 12 -0.799 -0.836 -0.872 -0.907 -0.945 -0.988 -1.024 -1.420 -1.400 -1.381 -1.363 -1.347 -1.332 -1.348 -1.347 -1.297 13 -0.841 -0.882 -0.925 -0.967 -1.009 -1.058 -1.098 -1.593 -1.556 -1.523 -1.492 -1.464 -1.439 -1.454 -1.447 -1.383 14 -0.875 -0.917 -0.958 -0.999 -1.041 -1.090 -1.130 -1.656 -1.619 -1.584 -1.552 -1.521 -1.494 -1.508 -1.500 -1.428 15 -0.947 -0.992 -1.038 -1.085 -1.132 -1.189 -1.237 -1.847 -1.812 -1.775 -1.738 -1.700 -1.664 -1.678 -1.664 -1.569 16 -1.040 -1.092 -1.147 -1.203 -1.259 -1.328 -1.385 -1.964 -1.942 -1.919 -1.893 -1.866 -1.837 -1.853 -1.842 -1.748 17 -1.168 -1.227 -1.287 -1.347 -1.407 -1.477 -1.534 -2.038 -2.022 -2.005 -1.987 -1.967 -1.947 -1.963 -1.958 -1.882 18 -1.336 -1.397 -1.456 -1.513 -1.569 -1.632 -1.681 -2.111 -2.096 -2.082 -2.067 -2.052 -2.037 -2.054 -2.053 -1.996 19 -1.404 -1.460 -1.512 -1.562 -1.609 -1.662 -1.704 -2.082 -2.071 -2.060 -2.048 -2.037 -2.026 -2.044 -2.045 -1.997 20 -1.022 -1.058 -1.095 -1.130 -1.166 -1.208 -1.243 -1.603 -1.589 -1.576 -1.563 -1.551 -1.540 -1.557 -1.557 -1.512 21 -1.035 -1.076 -1.116 -1.156 -1.195 -1.241 -1.278 -1.657 -1.642 -1.628 -1.614 -1.601 -1.588 -1.605 -1.605 -1.556 22 -1.071 -1.112 -1.152 -1.191 -1.230 -1.275 -1.313 -1.699 -1.682 -1.666 -1.651 -1.637 -1.624 -1.640 -1.640 -1.591 23 -1.106 -1.146 -1.186 -1.225 -1.264 -1.309 -1.347 -1.747 -1.727 -1.709 -1.692 -1.675 -1.661 -1.677 -1.676 -1.625 24 -1.124 -1.164 -1.204 -1.243 -1.282 -1.327 -1.364 -1.783 -1.760 -1.739 -1.719 -1.701 -1.684 -1.700 -1.698 -1.644 25 -1.151 -1.190 -1.228 -1.266 -1.304 -1.348 -1.385 -1.793 -1.771 -1.752 -1.733 -1.716 -1.700 -1.716 -1.715 -1.663 26 -1.163 -1.203 -1.243 -1.283 -1.323 -1.369 -1.408 -1.866 -1.836 -1.809 -1.784 -1.762 -1.741 -1.757 -1.752 -1.693 27 -1.195 -1.234 -1.273 -1.311 -1.350 -1.396 -1.434 -1.903 -1.871 -1.842 -1.816 -1.792 -1.770 -1.786 -1.781 -1.720 28 -1.202 -1.241 -1.280 -1.320 -1.360 -1.408 -1.448 -1.957 -1.920 -1.886 -1.855 -1.826 -1.800 -1.815 -1.808 -1.740 29 -1.255 -1.295 -1.335 -1.375 -1.415 -1.462 -1.502 -2.036 -1.998 -1.961 -1.927 -1.895 -1.866 -1.881 -1.871 -1.796 30 -1.263 -1.303 -1.342 -1.382 -1.423 -1.472 -1.513 -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 1.00 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 1.740 1.343 0.951 0.629 0.404 0.243 0.104 -0.028 -0.155 -0.280 -0.409 -0.539 -0.682 -0.839 -1.021 -1.229 ---------------------------------------------------------------------------------------------------------------------------------- 2 -7.334 -7.098 -6.868 -6.679 -6.548 -6.455 -6.375 -6.299 -6.229 -6.159 -6.089 -6.017 -5.939 -5.853 -5.753 -5.640 3 -7.145 -6.898 -6.668 -6.488 -6.365 -6.277 -6.202 -6.130 -6.061 -5.992 -5.922 -5.849 -5.770 -5.683 -5.581 -5.464 4 -7.143 -6.894 -6.660 -6.478 -6.354 -6.266 -6.191 -6.121 -6.053 -5.985 -5.916 -5.844 -5.766 -5.679 -5.578 -5.461 5 -7.147 -6.895 -6.658 -6.473 -6.348 -6.259 -6.183 -6.112 -6.044 -5.977 -5.909 -5.838 -5.760 -5.675 -5.574 -5.459 6 -7.171 -6.917 -6.676 -6.487 -6.360 -6.271 -6.195 -6.123 -6.055 -5.987 -5.919 -5.848 -5.772 -5.688 -5.588 -5.474 7 -7.154 -6.896 -6.652 -6.461 -6.332 -6.242 -6.165 -6.093 -6.025 -5.957 -5.888 -5.818 -5.742 -5.658 -5.559 -5.445 8 -7.138 -6.877 -6.629 -6.436 -6.306 -6.215 -6.138 -6.065 -5.997 -5.929 -5.860 -5.790 -5.713 -5.630 -5.531 -5.418 9 -7.093 -6.830 -6.580 -6.384 -6.253 -6.161 -6.084 -6.011 -5.943 -5.875 -5.806 -5.736 -5.659 -5.575 -5.476 -5.363 10 -7.104 -6.837 -6.584 -6.386 -6.254 -6.162 -6.084 -6.011 -5.942 -5.874 -5.805 -5.734 -5.658 -5.574 -5.475 -5.361 11 -7.071 -6.803 -6.548 -6.349 -6.215 -6.122 -6.044 -5.971 -5.902 -5.833 -5.764 -5.694 -5.617 -5.532 -5.433 -5.318 12 -7.075 -6.805 -6.548 -6.347 -6.212 -6.118 -6.040 -5.966 -5.897 -5.828 -5.759 -5.688 -5.611 -5.526 -5.426 -5.311 13 -7.050 -6.779 -6.520 -6.317 -6.182 -6.088 -6.008 -5.934 -5.865 -5.795 -5.726 -5.655 -5.578 -5.493 -5.392 -5.276 14 -7.056 -6.783 -6.523 -6.319 -6.182 -6.087 -6.007 -5.933 -5.863 -5.793 -5.723 -5.652 -5.575 -5.489 -5.388 -5.272 15 -7.029 -6.756 -6.494 -6.289 -6.152 -6.056 -5.976 -5.901 -5.830 -5.761 -5.691 -5.619 -5.541 -5.455 -5.354 -5.237 16 -7.034 -6.759 -6.496 -6.290 -6.151 -6.055 -5.974 -5.899 -5.828 -5.758 -5.688 -5.616 -5.538 -5.451 -5.350 -5.232 17 -7.002 -6.728 -6.464 -6.256 -6.117 -6.021 -5.939 -5.863 -5.792 -5.722 -5.651 -5.579 -5.500 -5.414 -5.312 -5.194 18 -6.960 -6.685 -6.421 -6.213 -6.073 -5.976 -5.894 -5.818 -5.746 -5.676 -5.604 -5.532 -5.453 -5.366 -5.264 -5.145 19 -6.988 -6.713 -6.447 -6.238 -6.097 -5.999 -5.917 -5.840 -5.768 -5.697 -5.625 -5.552 -5.473 -5.386 -5.283 -5.164 20 -6.992 -6.716 -6.449 -6.239 -6.097 -5.999 -5.916 -5.839 -5.766 -5.695 -5.623 -5.550 -5.470 -5.383 -5.280 -5.160 21 -6.949 -6.673 -6.406 -6.195 -6.053 -5.954 -5.871 -5.793 -5.720 -5.648 -5.576 -5.503 -5.423 -5.335 -5.232 -5.112 22 -6.931 -6.655 -6.387 -6.176 -6.033 -5.934 -5.850 -5.772 -5.699 -5.626 -5.554 -5.480 -5.400 -5.312 -5.208 -5.089 23 -6.913 -6.637 -6.369 -6.157 -6.014 -5.913 -5.830 -5.751 -5.677 -5.605 -5.532 -5.458 -5.378 -5.290 -5.186 -5.066 24 -6.915 -6.638 -6.370 -6.157 -6.013 -5.912 -5.828 -5.749 -5.675 -5.602 -5.529 -5.455 -5.375 -5.286 -5.182 -5.062 25 -6.900 -6.623 -6.354 -6.140 -5.995 -5.895 -5.810 -5.731 -5.656 -5.583 -5.510 -5.435 -5.355 -5.266 -5.161 -5.041 26 -6.902 -6.625 -6.355 -6.141 -5.996 -5.894 -5.809 -5.730 -5.655 -5.582 -5.508 -5.434 -5.353 -5.264 -5.159 -5.038 27 -6.886 -6.609 -6.339 -6.124 -5.978 -5.876 -5.791 -5.711 -5.636 -5.562 -5.488 -5.414 -5.333 -5.243 -5.138 -5.018 28 -6.898 -6.620 -6.349 -6.133 -5.987 -5.885 -5.799 -5.719 -5.644 -5.570 -5.496 -5.421 -5.339 -5.250 -5.145 -5.024 29 -6.868 -6.590 -6.319 -6.103 -5.957 -5.854 -5.768 -5.688 -5.612 -5.538 -5.464 -5.388 -5.307 -5.217 -5.112 -4.991 30 -6.863 -6.585 -6.314 -6.097 -5.950 -5.847 -5.761 -5.680 -5.604 -5.530 -5.455 -5.380 -5.298 -5.208 -5.103 -4.982 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 -1.475 -1.769 -2.118 -2.534 -3.029 -3.593 -4.219 -4.901 -5.874 -6.244 -6.333 -6.417 -6.451 -6.493 -6.535 -6.578 ---------------------------------------------------------------------------------------------------------------------------------- 2 -5.503 -5.341 -5.140 -4.889 -4.602 -4.275 -3.859 -3.272 -2.387 -2.139 -2.043 -1.928 -1.889 -1.834 -1.772 -1.702 3 -5.324 -5.157 -4.926 -4.548 -3.979 -3.588 -3.218 -2.732 -2.106 -1.934 -1.885 -1.837 -1.814 -1.787 -1.760 -1.732 4 -5.321 -5.153 -4.922 -4.577 -4.163 -3.831 -3.473 -3.069 -2.522 -2.333 -2.277 -2.221 -2.197 -2.168 -2.138 -2.106 5 -5.319 -5.151 -4.926 -4.622 -4.305 -4.015 -3.671 -3.257 -2.520 -2.181 -2.092 -1.998 -1.967 -1.924 -1.878 -1.829 6 -5.334 -5.167 -4.948 -4.666 -4.365 -4.032 -3.609 -3.148 -2.361 -2.002 -1.889 -1.778 -1.744 -1.699 -1.653 -1.607 7 -5.307 -5.139 -4.928 -4.663 -4.349 -3.982 -3.550 -3.043 -2.235 -1.781 -1.667 -1.572 -1.542 -1.505 -1.468 -1.431 8 -5.280 -5.111 -4.904 -4.643 -4.293 -3.865 -3.372 -2.880 -2.106 -1.607 -1.523 -1.455 -1.429 -1.398 -1.368 -1.337 9 -5.225 -5.056 -4.840 -4.546 -4.141 -3.715 -3.258 -2.777 -1.986 -1.490 -1.421 -1.363 -1.338 -1.309 -1.280 -1.250 10 -5.222 -5.053 -4.840 -4.545 -4.130 -3.678 -3.201 -2.680 -1.861 -1.425 -1.368 -1.314 -1.289 -1.260 -1.229 -1.198 11 -5.179 -5.010 -4.790 -4.467 -3.996 -3.534 -3.091 -2.601 -1.732 -1.378 -1.327 -1.279 -1.256 -1.229 -1.202 -1.174 12 -5.172 -5.001 -4.776 -4.398 -3.807 -3.432 -3.067 -2.609 -2.018 -1.837 -1.788 -1.741 -1.719 -1.693 -1.666 -1.639 13 -5.136 -4.965 -4.742 -4.406 -3.963 -3.601 -3.216 -2.815 -2.226 -1.889 -1.806 -1.727 -1.701 -1.668 -1.635 -1.602 14 -5.131 -4.960 -4.731 -4.404 -4.029 -3.701 -3.341 -2.910 -2.196 -1.832 -1.755 -1.688 -1.663 -1.632 -1.600 -1.568 15 -5.095 -4.923 -4.701 -4.413 -4.122 -3.808 -3.409 -2.923 -2.145 -1.768 -1.694 -1.626 -1.600 -1.568 -1.535 -1.500 16 -5.090 -4.917 -4.699 -4.437 -4.154 -3.808 -3.383 -2.882 -2.078 -1.709 -1.634 -1.557 -1.529 -1.493 -1.455 -1.414 17 -5.051 -4.878 -4.671 -4.438 -4.132 -3.696 -3.237 -2.746 -1.969 -1.624 -1.541 -1.453 -1.422 -1.381 -1.337 -1.291 18 -5.002 -4.828 -4.619 -4.373 -4.064 -3.667 -3.226 -2.698 -1.874 -1.516 -1.425 -1.315 -1.279 -1.231 -1.180 -1.128 19 -5.020 -4.847 -4.635 -4.337 -3.932 -3.531 -3.117 -2.663 -1.830 -1.475 -1.355 -1.235 -1.199 -1.151 -1.102 -1.054 20 -5.016 -4.842 -4.635 -4.388 -4.055 -3.613 -3.135 -2.624 -1.834 -1.616 -1.566 -1.518 -1.496 -1.470 -1.444 -1.416 21 -4.968 -4.793 -4.573 -4.256 -3.857 -3.512 -3.095 -2.637 -1.996 -1.681 -1.602 -1.532 -1.506 -1.474 -1.441 -1.409 22 -4.944 -4.769 -4.549 -4.226 -3.854 -3.533 -3.141 -2.666 -1.968 -1.645 -1.567 -1.496 -1.469 -1.438 -1.405 -1.373 23 -4.921 -4.746 -4.538 -4.283 -3.945 -3.542 -3.124 -2.655 -1.953 -1.612 -1.530 -1.459 -1.433 -1.401 -1.369 -1.337 24 -4.916 -4.741 -4.528 -4.246 -3.896 -3.541 -3.129 -2.656 -1.937 -1.587 -1.507 -1.438 -1.412 -1.382 -1.350 -1.319 25 -4.896 -4.720 -4.505 -4.228 -3.906 -3.528 -3.109 -2.650 -1.911 -1.543 -1.468 -1.404 -1.380 -1.350 -1.320 -1.290 26 -4.893 -4.718 -4.505 -4.238 -3.914 -3.544 -3.116 -2.633 -1.902 -1.547 -1.468 -1.399 -1.374 -1.343 -1.312 -1.280 27 -4.872 -4.697 -4.485 -4.215 -3.853 -3.459 -3.055 -2.596 -1.851 -1.487 -1.418 -1.359 -1.335 -1.306 -1.277 -1.247 28 -4.878 -4.703 -4.493 -4.224 -3.841 -3.431 -3.036 -2.574 -1.838 -1.476 -1.411 -1.352 -1.328 -1.299 -1.270 -1.240 29 -4.846 -4.670 -4.463 -4.211 -3.891 -3.500 -3.029 -2.462 -1.610 -1.399 -1.345 -1.294 -1.272 -1.246 -1.217 -1.187 30 -4.836 -4.661 -4.453 -4.197 -3.864 -3.458 -2.959 -2.366 -1.634 -1.394 -1.340 -1.288 -1.265 -1.237 -1.208 -1.178 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 -6.622 -6.666 -6.709 -6.752 -6.795 -6.844 -6.885 -7.255 -7.253 -7.249 -7.244 -7.239 -7.232 -7.253 -7.257 -7.209 ---------------------------------------------------------------------------------------------------------------------------------- 2 -1.626 -1.541 -1.451 -1.353 -1.248 -1.107 -0.990 1.251 1.016 0.794 0.585 0.390 0.200 0.206 0.107 -0.272 3 -1.704 -1.676 -1.648 -1.620 -1.592 -1.561 -1.533 -1.293 -1.293 -1.292 -1.292 -1.292 -1.293 -1.275 -1.270 -1.297 4 -2.074 -2.042 -2.008 -1.974 -1.939 -1.900 -1.865 -1.403 -1.432 -1.460 -1.487 -1.512 -1.535 -1.520 -1.528 -1.593 5 -1.779 -1.728 -1.677 -1.626 -1.575 -1.517 -1.470 -1.090 -1.094 -1.099 -1.106 -1.114 -1.124 -1.108 -1.109 -1.166 6 -1.560 -1.515 -1.472 -1.431 -1.391 -1.347 -1.311 -1.023 -1.025 -1.027 -1.029 -1.032 -1.036 -1.019 -1.016 -1.052 7 -1.395 -1.360 -1.327 -1.295 -1.263 -1.228 -1.198 -0.928 -0.933 -0.937 -0.941 -0.944 -0.947 -0.930 -0.926 -0.957 8 -1.307 -1.277 -1.247 -1.217 -1.187 -1.155 -1.127 -0.849 -0.857 -0.863 -0.868 -0.872 -0.877 -0.860 -0.856 -0.889 9 -1.219 -1.189 -1.159 -1.128 -1.097 -1.062 -1.031 -0.630 -0.664 -0.692 -0.714 -0.732 -0.747 -0.732 -0.734 -0.781 10 -1.166 -1.133 -1.099 -1.065 -1.030 -0.989 -0.951 -0.138 -0.249 -0.341 -0.419 -0.483 -0.537 -0.524 -0.546 -0.648 11 -1.146 -1.118 -1.090 -1.062 -1.034 -1.003 -0.976 -0.735 -0.735 -0.735 -0.735 -0.736 -0.737 -0.719 -0.714 -0.741 12 -1.612 -1.585 -1.557 -1.530 -1.502 -1.470 -1.442 -1.160 -1.170 -1.178 -1.185 -1.192 -1.197 -1.181 -1.179 -1.212 13 -1.570 -1.538 -1.504 -1.471 -1.437 -1.400 -1.368 -0.987 -1.013 -1.036 -1.056 -1.074 -1.090 -1.075 -1.078 -1.126 14 -1.536 -1.503 -1.471 -1.438 -1.405 -1.368 -1.336 -0.924 -0.950 -0.975 -0.997 -1.017 -1.035 -1.021 -1.026 -1.081 15 -1.464 -1.428 -1.391 -1.353 -1.314 -1.269 -1.230 -0.732 -0.758 -0.784 -0.811 -0.838 -0.866 -0.851 -0.862 -0.940 16 -1.372 -1.328 -1.282 -1.235 -1.187 -1.129 -1.082 -0.616 -0.627 -0.640 -0.655 -0.672 -0.692 -0.677 -0.684 -0.761 17 -1.244 -1.193 -1.142 -1.091 -1.040 -0.980 -0.933 -0.542 -0.547 -0.554 -0.562 -0.571 -0.582 -0.566 -0.568 -0.627 18 -1.075 -1.024 -0.973 -0.924 -0.877 -0.825 -0.785 -0.469 -0.473 -0.477 -0.482 -0.486 -0.492 -0.475 -0.472 -0.513 19 -1.007 -0.961 -0.917 -0.876 -0.837 -0.795 -0.762 -0.498 -0.499 -0.499 -0.500 -0.501 -0.503 -0.486 -0.481 -0.512 20 -1.389 -1.362 -1.335 -1.307 -1.280 -1.250 -1.223 -0.977 -0.980 -0.983 -0.985 -0.987 -0.989 -0.973 -0.968 -0.997 21 -1.376 -1.344 -1.313 -1.282 -1.251 -1.217 -1.188 -0.923 -0.927 -0.931 -0.935 -0.938 -0.941 -0.925 -0.921 -0.953 22 -1.340 -1.309 -1.277 -1.246 -1.216 -1.182 -1.153 -0.881 -0.888 -0.893 -0.897 -0.901 -0.905 -0.889 -0.886 -0.918 23 -1.305 -1.274 -1.243 -1.212 -1.182 -1.148 -1.120 -0.833 -0.843 -0.850 -0.857 -0.863 -0.868 -0.853 -0.850 -0.884 24 -1.287 -1.256 -1.225 -1.195 -1.164 -1.131 -1.102 -0.797 -0.810 -0.820 -0.830 -0.838 -0.845 -0.830 -0.828 -0.865 25 -1.260 -1.231 -1.201 -1.172 -1.142 -1.109 -1.081 -0.787 -0.798 -0.807 -0.816 -0.823 -0.829 -0.813 -0.811 -0.846 26 -1.249 -1.217 -1.186 -1.155 -1.123 -1.088 -1.058 -0.714 -0.733 -0.750 -0.764 -0.777 -0.788 -0.773 -0.774 -0.816 27 -1.217 -1.187 -1.156 -1.126 -1.096 -1.062 -1.032 -0.677 -0.699 -0.717 -0.733 -0.746 -0.759 -0.744 -0.745 -0.789 28 -1.210 -1.179 -1.149 -1.118 -1.086 -1.050 -1.019 -0.623 -0.649 -0.673 -0.694 -0.713 -0.730 -0.715 -0.718 -0.769 29 -1.156 -1.125 -1.094 -1.063 -1.031 -0.995 -0.965 -0.543 -0.571 -0.597 -0.621 -0.643 -0.663 -0.649 -0.654 -0.713 30 -1.148 -1.118 -1.087 -1.056 -1.024 -0.986 -0.953 -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 1.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -5.823 -6.094 -6.508 -6.931 -7.284 -7.548 -7.738 -7.888 -8.027 -8.162 -8.295 -8.432 -8.572 -8.724 -8.885 -9.061 ---------------------------------------------------------------------------------------------------------------------------------- 2 5.925 5.712 5.418 5.127 4.884 4.704 4.579 4.480 4.391 4.308 4.223 4.136 4.048 3.954 3.854 3.745 3 5.721 5.505 5.207 4.917 4.681 4.509 4.388 4.294 4.208 4.124 4.041 3.955 3.867 3.770 3.669 3.558 4 5.712 5.496 5.196 4.903 4.665 4.491 4.369 4.274 4.187 4.104 4.021 3.936 3.849 3.754 3.654 3.544 5 5.715 5.495 5.192 4.896 4.655 4.479 4.356 4.261 4.174 4.090 4.007 3.921 3.835 3.740 3.641 3.533 6 5.739 5.517 5.209 4.909 4.666 4.488 4.364 4.268 4.180 4.096 4.013 3.928 3.841 3.745 3.647 3.540 7 5.720 5.497 5.187 4.884 4.637 4.458 4.333 4.236 4.148 4.064 3.981 3.895 3.808 3.713 3.615 3.507 8 5.703 5.479 5.166 4.860 4.611 4.431 4.305 4.207 4.119 4.035 3.951 3.865 3.779 3.683 3.585 3.477 9 5.656 5.433 5.119 4.811 4.560 4.378 4.251 4.154 4.065 3.980 3.897 3.810 3.723 3.628 3.530 3.422 10 5.664 5.441 5.125 4.814 4.562 4.378 4.251 4.153 4.064 3.978 3.894 3.808 3.721 3.625 3.527 3.419 11 5.630 5.408 5.091 4.778 4.524 4.340 4.212 4.113 4.023 3.938 3.853 3.767 3.679 3.584 3.485 3.376 12 5.631 5.410 5.091 4.777 4.522 4.336 4.207 4.108 4.018 3.932 3.847 3.760 3.673 3.577 3.477 3.368 13 5.604 5.383 5.064 4.749 4.493 4.306 4.176 4.077 3.986 3.900 3.815 3.727 3.639 3.543 3.443 3.334 14 5.608 5.387 5.068 4.751 4.494 4.306 4.176 4.075 3.984 3.897 3.812 3.724 3.636 3.539 3.439 3.329 15 5.579 5.359 5.040 4.723 4.464 4.276 4.145 4.044 3.952 3.865 3.779 3.691 3.602 3.505 3.405 3.295 16 5.582 5.362 5.042 4.724 4.465 4.275 4.143 4.042 3.950 3.862 3.776 3.687 3.598 3.501 3.400 3.290 17 5.548 5.330 5.010 4.692 4.431 4.241 4.109 4.007 3.915 3.826 3.740 3.651 3.561 3.464 3.363 3.252 18 5.505 5.288 4.967 4.649 4.388 4.197 4.064 3.962 3.869 3.781 3.694 3.604 3.515 3.417 3.315 3.204 19 5.531 5.314 4.993 4.673 4.412 4.220 4.087 3.984 3.891 3.802 3.714 3.624 3.534 3.436 3.334 3.223 20 5.533 5.316 4.995 4.675 4.412 4.220 4.086 3.983 3.889 3.800 3.712 3.622 3.531 3.433 3.331 3.219 21 5.489 5.273 4.952 4.632 4.368 4.176 4.041 3.938 3.844 3.754 3.666 3.576 3.485 3.386 3.284 3.172 22 5.470 5.254 4.933 4.612 4.349 4.156 4.021 3.917 3.823 3.732 3.644 3.553 3.462 3.363 3.261 3.148 23 5.452 5.236 4.915 4.594 4.330 4.136 4.001 3.896 3.802 3.711 3.623 3.532 3.440 3.341 3.238 3.126 24 5.452 5.237 4.916 4.594 4.329 4.135 3.999 3.895 3.800 3.709 3.620 3.529 3.437 3.337 3.235 3.122 25 5.436 5.221 4.899 4.577 4.312 4.118 3.981 3.876 3.781 3.690 3.601 3.509 3.417 3.318 3.214 3.101 26 5.437 5.223 4.901 4.578 4.313 4.118 3.981 3.876 3.780 3.689 3.599 3.508 3.415 3.315 3.212 3.099 27 5.420 5.206 4.884 4.561 4.295 4.100 3.963 3.857 3.762 3.670 3.580 3.488 3.396 3.295 3.192 3.079 28 5.431 5.216 4.894 4.571 4.304 4.108 3.971 3.865 3.769 3.677 3.587 3.495 3.403 3.302 3.198 3.085 29 5.401 5.187 4.865 4.541 4.274 4.078 3.940 3.834 3.738 3.646 3.556 3.463 3.371 3.270 3.166 3.053 30 5.395 5.181 4.859 4.535 4.268 4.071 3.933 3.827 3.731 3.638 3.548 3.455 3.362 3.261 3.157 3.044 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -9.263 -9.505 -9.798 -10.141 -10.534 -10.977 -11.499 -12.089 -12.791 -13.487 -14.215 -15.101 -15.382 -15.434 -15.537 -15.583 ---------------------------------------------------------------------------------------------------------------------------------- 2 3.619 3.464 3.280 3.061 2.802 2.495 2.145 1.753 1.244 0.645 -0.066 -0.753 -0.981 -1.029 -1.141 -1.190 3 3.430 3.274 3.083 2.859 2.580 2.155 1.575 1.066 0.601 0.117 -0.438 -1.015 -1.189 -1.225 -1.291 -1.324 4 3.417 3.262 3.071 2.848 2.573 2.198 1.749 1.323 0.880 0.430 -0.050 -0.614 -0.799 -0.837 -0.911 -0.945 5 3.407 3.252 3.063 2.839 2.568 2.224 1.854 1.494 1.064 0.605 0.086 -0.690 -0.946 -0.992 -1.096 -1.140 6 3.414 3.261 3.073 2.850 2.581 2.248 1.871 1.467 0.967 0.475 -0.068 -0.831 -1.122 -1.174 -1.299 -1.349 7 3.382 3.229 3.041 2.818 2.553 2.235 1.862 1.446 0.933 0.386 -0.216 -0.978 -1.333 -1.390 -1.513 -1.560 8 3.352 3.199 3.011 2.788 2.522 2.193 1.771 1.296 0.742 0.217 -0.363 -1.147 -1.503 -1.554 -1.654 -1.693 9 3.296 3.142 2.954 2.730 2.459 2.103 1.645 1.164 0.638 0.134 -0.441 -1.296 -1.624 -1.670 -1.755 -1.791 10 3.292 3.138 2.949 2.725 2.455 2.098 1.625 1.115 0.569 0.015 -0.541 -1.429 -1.697 -1.738 -1.814 -1.848 11 3.250 3.095 2.904 2.680 2.405 2.019 1.504 0.988 0.473 -0.056 -0.600 -1.520 -1.743 -1.780 -1.849 -1.881 12 3.241 3.086 2.895 2.669 2.389 1.960 1.388 0.912 0.460 -0.027 -0.551 -1.122 -1.301 -1.337 -1.404 -1.435 13 3.207 3.050 2.858 2.632 2.357 1.982 1.520 1.085 0.615 0.163 -0.318 -0.970 -1.247 -1.294 -1.390 -1.428 14 3.202 3.045 2.852 2.625 2.350 1.991 1.576 1.172 0.720 0.243 -0.285 -1.018 -1.294 -1.340 -1.431 -1.469 15 3.167 3.009 2.816 2.588 2.317 1.995 1.654 1.280 0.793 0.276 -0.297 -1.076 -1.357 -1.401 -1.491 -1.529 16 3.161 3.004 2.810 2.581 2.314 2.008 1.667 1.271 0.765 0.235 -0.352 -1.148 -1.418 -1.461 -1.553 -1.592 17 3.123 2.965 2.770 2.541 2.276 1.971 1.586 1.130 0.607 0.078 -0.481 -1.251 -1.506 -1.550 -1.647 -1.690 18 3.075 2.916 2.722 2.492 2.227 1.927 1.563 1.131 0.610 0.046 -0.537 -1.349 -1.612 -1.660 -1.769 -1.813 19 3.093 2.934 2.739 2.510 2.235 1.873 1.430 0.990 0.503 0.008 -0.565 -1.385 -1.637 -1.693 -1.824 -1.876 20 3.089 2.930 2.735 2.505 2.241 1.939 1.547 1.063 0.514 -0.022 -0.602 -1.334 -1.519 -1.555 -1.622 -1.654 21 3.041 2.882 2.687 2.456 2.182 1.826 1.407 0.988 0.487 -0.009 -0.538 -1.189 -1.448 -1.493 -1.585 -1.624 22 3.018 2.858 2.663 2.432 2.158 1.806 1.407 1.016 0.533 0.014 -0.529 -1.221 -1.483 -1.528 -1.620 -1.658 23 2.995 2.835 2.639 2.409 2.143 1.830 1.438 1.002 0.510 0.007 -0.543 -1.234 -1.511 -1.558 -1.654 -1.693 24 2.991 2.831 2.635 2.404 2.134 1.801 1.417 1.009 0.518 0.010 -0.549 -1.256 -1.536 -1.583 -1.677 -1.716 25 2.970 2.810 2.614 2.384 2.114 1.792 1.418 0.997 0.502 0.006 -0.554 -1.290 -1.579 -1.625 -1.715 -1.752 26 2.968 2.807 2.611 2.381 2.113 1.802 1.431 1.012 0.502 -0.014 -0.575 -1.293 -1.576 -1.623 -1.717 -1.755 27 2.947 2.787 2.591 2.360 2.091 1.765 1.359 0.932 0.450 -0.047 -0.615 -1.360 -1.637 -1.680 -1.765 -1.801 28 2.953 2.793 2.597 2.366 2.098 1.767 1.342 0.908 0.431 -0.070 -0.635 -1.377 -1.649 -1.692 -1.774 -1.809 29 2.921 2.760 2.564 2.334 2.070 1.770 1.401 0.954 0.393 -0.201 -0.855 -1.548 -1.736 -1.771 -1.844 -1.878 30 2.912 2.751 2.555 2.325 2.060 1.755 1.368 0.899 0.307 -0.298 -0.883 -1.536 -1.738 -1.776 -1.849 -1.881 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -15.632 -15.682 -15.732 -15.777 -15.827 -15.877 -15.927 -15.977 -16.085 -16.076 -16.126 -16.608 -16.598 -16.587 -16.575 -16.563 ---------------------------------------------------------------------------------------------------------------------------------- 2 -1.245 -1.307 -1.372 -1.432 -1.506 -1.586 -1.671 -1.765 -2.054 -1.972 -2.087 -4.308 -4.105 -3.901 -3.712 -3.533 3 -1.357 -1.392 -1.427 -1.458 -1.492 -1.527 -1.562 -1.597 -1.671 -1.667 -1.702 -2.051 -2.043 -2.035 -2.028 -2.020 4 -0.981 -1.018 -1.056 -1.089 -1.128 -1.167 -1.207 -1.247 -1.343 -1.329 -1.372 -1.930 -1.897 -1.866 -1.835 -1.805 5 -1.189 -1.240 -1.292 -1.339 -1.393 -1.449 -1.505 -1.563 -1.703 -1.677 -1.734 -2.251 -2.237 -2.223 -2.208 -2.192 6 -1.403 -1.458 -1.513 -1.560 -1.613 -1.666 -1.718 -1.769 -1.880 -1.865 -1.911 -2.323 -2.313 -2.302 -2.291 -2.280 7 -1.609 -1.658 -1.706 -1.746 -1.790 -1.834 -1.876 -1.917 -2.004 -1.996 -2.035 -2.418 -2.405 -2.393 -2.382 -2.372 8 -1.734 -1.775 -1.815 -1.850 -1.888 -1.926 -1.963 -2.000 -2.079 -2.073 -2.110 -2.498 -2.483 -2.469 -2.456 -2.444 9 -1.829 -1.867 -1.905 -1.938 -1.975 -2.013 -2.050 -2.088 -2.171 -2.163 -2.201 -2.696 -2.661 -2.630 -2.603 -2.579 10 -1.883 -1.919 -1.956 -1.991 -2.029 -2.069 -2.108 -2.149 -2.245 -2.232 -2.275 -3.103 -3.011 -2.929 -2.859 -2.799 11 -1.915 -1.950 -1.985 -2.016 -2.051 -2.086 -2.120 -2.155 -2.229 -2.225 -2.260 -2.610 -2.601 -2.593 -2.585 -2.577 12 -1.468 -1.501 -1.534 -1.564 -1.598 -1.633 -1.667 -1.702 -1.776 -1.770 -1.804 -2.194 -2.177 -2.161 -2.146 -2.133 13 -1.471 -1.515 -1.558 -1.595 -1.636 -1.676 -1.715 -1.754 -1.844 -1.832 -1.873 -2.349 -2.320 -2.293 -2.267 -2.245 14 -1.509 -1.550 -1.590 -1.626 -1.665 -1.705 -1.744 -1.784 -1.875 -1.864 -1.904 -2.417 -2.386 -2.357 -2.329 -2.303 15 -1.570 -1.611 -1.652 -1.689 -1.731 -1.773 -1.816 -1.860 -1.968 -1.950 -1.997 -2.597 -2.565 -2.533 -2.501 -2.469 16 -1.635 -1.680 -1.726 -1.767 -1.814 -1.863 -1.913 -1.964 -2.095 -2.070 -2.125 -2.719 -2.699 -2.678 -2.654 -2.630 17 -1.736 -1.786 -1.836 -1.881 -1.934 -1.988 -2.042 -2.098 -2.239 -2.212 -2.270 -2.801 -2.786 -2.770 -2.753 -2.736 18 -1.861 -1.918 -1.977 -2.028 -2.087 -2.146 -2.204 -2.261 -2.393 -2.371 -2.424 -2.876 -2.863 -2.850 -2.837 -2.825 19 -1.934 -1.992 -2.051 -2.101 -2.157 -2.212 -2.265 -2.316 -2.426 -2.412 -2.458 -2.846 -2.837 -2.828 -2.819 -2.810 20 -1.687 -1.721 -1.755 -1.786 -1.820 -1.854 -1.888 -1.922 -1.996 -1.991 -2.025 -2.379 -2.368 -2.358 -2.348 -2.338 21 -1.664 -1.705 -1.746 -1.782 -1.821 -1.861 -1.900 -1.938 -2.022 -2.014 -2.052 -2.430 -2.417 -2.406 -2.394 -2.383 22 -1.699 -1.740 -1.781 -1.817 -1.857 -1.896 -1.935 -1.974 -2.057 -2.049 -2.087 -2.472 -2.458 -2.445 -2.432 -2.420 23 -1.734 -1.776 -1.817 -1.852 -1.892 -1.931 -1.970 -2.008 -2.091 -2.083 -2.121 -2.518 -2.502 -2.487 -2.472 -2.459 24 -1.756 -1.797 -1.837 -1.872 -1.911 -1.950 -1.988 -2.026 -2.109 -2.102 -2.139 -2.554 -2.535 -2.517 -2.500 -2.485 25 -1.791 -1.830 -1.869 -1.902 -1.940 -1.977 -2.014 -2.051 -2.130 -2.123 -2.160 -2.563 -2.545 -2.529 -2.513 -2.499 26 -1.796 -1.837 -1.877 -1.912 -1.951 -1.989 -2.028 -2.066 -2.152 -2.143 -2.182 -2.632 -2.608 -2.585 -2.564 -2.545 27 -1.838 -1.876 -1.914 -1.947 -1.984 -2.022 -2.059 -2.096 -2.179 -2.171 -2.209 -2.666 -2.640 -2.616 -2.594 -2.574 28 -1.846 -1.884 -1.922 -1.955 -1.992 -2.030 -2.067 -2.105 -2.190 -2.181 -2.220 -2.714 -2.684 -2.656 -2.630 -2.606 29 -1.913 -1.948 -1.983 -2.014 -2.048 -2.085 -2.123 -2.162 -2.251 -2.240 -2.279 -2.791 -2.759 -2.729 -2.699 -2.672 30 -1.916 -1.951 -1.987 -2.020 -2.057 -2.094 -2.131 -2.170 -2.256 -2.246 -2.285 -2.801 -2.769 -2.741 -2.713 -2.687 EL Teff[K] log g = 8.000 log(qvz) including 1.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 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 1.772 1.531 1.198 0.865 0.587 0.376 0.222 0.099 -0.016 -0.127 -0.237 -0.350 -0.465 -0.591 -0.724 -0.872 ---------------------------------------------------------------------------------------------------------------------------------- 2 -6.939 -6.756 -6.545 -6.343 -6.175 -6.049 -5.961 -5.888 -5.824 -5.764 -5.702 -5.640 -5.577 -5.509 -5.436 -5.355 3 -6.735 -6.550 -6.333 -6.133 -5.973 -5.854 -5.770 -5.702 -5.640 -5.580 -5.520 -5.459 -5.395 -5.325 -5.251 -5.169 4 -6.726 -6.540 -6.322 -6.119 -5.956 -5.836 -5.750 -5.682 -5.620 -5.560 -5.501 -5.440 -5.378 -5.309 -5.236 -5.155 5 -6.729 -6.540 -6.318 -6.112 -5.946 -5.824 -5.738 -5.669 -5.606 -5.546 -5.486 -5.425 -5.363 -5.295 -5.224 -5.144 6 -6.753 -6.561 -6.335 -6.125 -5.957 -5.833 -5.745 -5.676 -5.613 -5.552 -5.492 -5.432 -5.369 -5.301 -5.230 -5.150 7 -6.734 -6.541 -6.313 -6.100 -5.928 -5.803 -5.714 -5.644 -5.581 -5.520 -5.460 -5.399 -5.337 -5.268 -5.197 -5.118 8 -6.717 -6.523 -6.292 -6.076 -5.903 -5.776 -5.686 -5.616 -5.552 -5.491 -5.431 -5.370 -5.307 -5.239 -5.167 -5.088 9 -6.671 -6.478 -6.245 -6.027 -5.851 -5.723 -5.633 -5.562 -5.497 -5.436 -5.376 -5.315 -5.252 -5.183 -5.112 -5.032 10 -6.679 -6.486 -6.251 -6.030 -5.853 -5.724 -5.632 -5.561 -5.496 -5.434 -5.374 -5.312 -5.250 -5.181 -5.109 -5.029 11 -6.644 -6.452 -6.217 -5.994 -5.816 -5.685 -5.593 -5.521 -5.456 -5.394 -5.333 -5.271 -5.208 -5.139 -5.067 -4.987 12 -6.646 -6.454 -6.218 -5.993 -5.813 -5.682 -5.589 -5.516 -5.450 -5.388 -5.327 -5.264 -5.201 -5.132 -5.060 -4.979 13 -6.618 -6.427 -6.191 -5.965 -5.784 -5.651 -5.558 -5.485 -5.419 -5.356 -5.294 -5.231 -5.168 -5.098 -5.026 -4.945 14 -6.622 -6.431 -6.194 -5.968 -5.785 -5.651 -5.557 -5.483 -5.417 -5.353 -5.291 -5.228 -5.164 -5.094 -5.021 -4.940 15 -6.593 -6.404 -6.166 -5.939 -5.756 -5.621 -5.526 -5.452 -5.385 -5.321 -5.258 -5.195 -5.131 -5.060 -4.987 -4.906 16 -6.596 -6.406 -6.168 -5.940 -5.756 -5.620 -5.525 -5.450 -5.382 -5.318 -5.255 -5.192 -5.127 -5.056 -4.983 -4.901 17 -6.563 -6.374 -6.136 -5.908 -5.723 -5.586 -5.490 -5.415 -5.347 -5.282 -5.219 -5.155 -5.090 -5.019 -4.945 -4.863 18 -6.519 -6.332 -6.094 -5.865 -5.679 -5.543 -5.446 -5.370 -5.302 -5.237 -5.173 -5.108 -5.043 -4.972 -4.897 -4.815 19 -6.545 -6.358 -6.119 -5.889 -5.703 -5.565 -5.468 -5.392 -5.323 -5.258 -5.193 -5.129 -5.063 -4.991 -4.917 -4.834 20 -6.547 -6.360 -6.121 -5.891 -5.703 -5.565 -5.467 -5.391 -5.321 -5.256 -5.191 -5.126 -5.060 -4.988 -4.913 -4.830 21 -6.503 -6.317 -6.078 -5.847 -5.660 -5.521 -5.423 -5.346 -5.276 -5.210 -5.145 -5.080 -5.013 -4.941 -4.866 -4.782 22 -6.484 -6.299 -6.060 -5.829 -5.640 -5.501 -5.402 -5.325 -5.255 -5.188 -5.123 -5.057 -4.991 -4.918 -4.843 -4.759 23 -6.466 -6.280 -6.041 -5.810 -5.621 -5.481 -5.382 -5.305 -5.234 -5.167 -5.102 -5.036 -4.969 -4.896 -4.820 -4.736 24 -6.467 -6.281 -6.042 -5.810 -5.621 -5.480 -5.381 -5.303 -5.232 -5.165 -5.099 -5.033 -4.966 -4.893 -4.817 -4.733 25 -6.450 -6.265 -6.026 -5.793 -5.603 -5.463 -5.363 -5.285 -5.214 -5.146 -5.080 -5.013 -4.946 -4.873 -4.797 -4.712 26 -6.452 -6.267 -6.027 -5.794 -5.604 -5.463 -5.363 -5.284 -5.213 -5.145 -5.079 -5.012 -4.944 -4.871 -4.794 -4.710 27 -6.435 -6.250 -6.010 -5.777 -5.586 -5.445 -5.344 -5.266 -5.194 -5.126 -5.059 -4.992 -4.924 -4.851 -4.774 -4.689 28 -6.445 -6.261 -6.021 -5.787 -5.596 -5.454 -5.353 -5.274 -5.202 -5.133 -5.067 -4.999 -4.931 -4.857 -4.780 -4.696 29 -6.415 -6.231 -5.991 -5.757 -5.565 -5.423 -5.322 -5.243 -5.171 -5.102 -5.035 -4.967 -4.899 -4.825 -4.748 -4.663 30 -6.409 -6.225 -5.985 -5.751 -5.559 -5.416 -5.315 -5.235 -5.163 -5.094 -5.027 -4.959 -4.891 -4.817 -4.739 -4.654 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 -1.039 -1.236 -1.474 -1.752 -2.071 -2.432 -2.857 -3.341 -3.920 -4.499 -5.107 -5.800 -6.005 -6.048 -6.126 -6.165 ---------------------------------------------------------------------------------------------------------------------------------- 2 -5.265 -5.155 -5.025 -4.872 -4.688 -4.462 -4.208 -3.923 -3.537 -3.055 -2.464 -1.971 -1.818 -1.780 -1.692 -1.651 3 -5.075 -4.965 -4.829 -4.670 -4.465 -4.123 -3.639 -3.236 -2.895 -2.527 -2.092 -1.708 -1.611 -1.584 -1.542 -1.518 4 -5.063 -4.952 -4.817 -4.658 -4.458 -4.166 -3.813 -3.493 -3.174 -2.841 -2.480 -2.110 -2.000 -1.972 -1.922 -1.897 5 -5.052 -4.943 -4.809 -4.650 -4.453 -4.192 -3.918 -3.664 -3.358 -3.015 -2.617 -2.034 -1.854 -1.817 -1.737 -1.701 6 -5.060 -4.952 -4.819 -4.660 -4.466 -4.216 -3.935 -3.638 -3.260 -2.885 -2.462 -1.893 -1.677 -1.635 -1.534 -1.492 7 -5.028 -4.920 -4.787 -4.629 -4.438 -4.203 -3.926 -3.616 -3.226 -2.797 -2.315 -1.746 -1.466 -1.419 -1.320 -1.281 8 -4.998 -4.890 -4.757 -4.598 -4.407 -4.160 -3.835 -3.466 -3.035 -2.627 -2.167 -1.577 -1.296 -1.254 -1.179 -1.148 9 -4.942 -4.833 -4.700 -4.541 -4.344 -4.071 -3.709 -3.334 -2.931 -2.544 -2.090 -1.428 -1.175 -1.139 -1.078 -1.050 10 -4.938 -4.829 -4.695 -4.535 -4.340 -4.066 -3.689 -3.286 -2.863 -2.426 -1.989 -1.295 -1.102 -1.071 -1.019 -0.994 11 -4.895 -4.786 -4.650 -4.490 -4.290 -3.987 -3.568 -3.159 -2.766 -2.354 -1.930 -1.204 -1.056 -1.028 -0.984 -0.960 12 -4.887 -4.777 -4.641 -4.480 -4.274 -3.927 -3.452 -3.083 -2.753 -2.384 -1.979 -1.602 -1.498 -1.472 -1.429 -1.406 13 -4.852 -4.741 -4.604 -4.443 -4.242 -3.950 -3.584 -3.255 -2.909 -2.574 -2.212 -1.754 -1.552 -1.515 -1.443 -1.413 14 -4.847 -4.736 -4.598 -4.436 -4.235 -3.959 -3.640 -3.342 -3.013 -2.653 -2.246 -1.706 -1.505 -1.469 -1.402 -1.372 15 -4.812 -4.700 -4.562 -4.399 -4.202 -3.963 -3.718 -3.450 -3.087 -2.686 -2.233 -1.647 -1.442 -1.407 -1.342 -1.312 16 -4.807 -4.694 -4.556 -4.392 -4.199 -3.975 -3.731 -3.441 -3.059 -2.646 -2.179 -1.576 -1.382 -1.347 -1.280 -1.249 17 -4.768 -4.656 -4.516 -4.352 -4.161 -3.939 -3.650 -3.300 -2.900 -2.488 -2.049 -1.473 -1.293 -1.259 -1.186 -1.151 18 -4.720 -4.607 -4.468 -4.303 -4.112 -3.895 -3.627 -3.302 -2.903 -2.456 -1.993 -1.375 -1.187 -1.148 -1.065 -1.028 19 -4.739 -4.625 -4.485 -4.321 -4.120 -3.841 -3.493 -3.160 -2.796 -2.418 -1.966 -1.339 -1.162 -1.116 -1.009 -0.965 20 -4.735 -4.621 -4.481 -4.315 -4.126 -3.907 -3.611 -3.234 -2.807 -2.388 -1.928 -1.390 -1.280 -1.254 -1.211 -1.187 21 -4.687 -4.573 -4.433 -4.267 -4.067 -3.794 -3.471 -3.158 -2.780 -2.402 -1.992 -1.535 -1.351 -1.316 -1.248 -1.218 22 -4.664 -4.549 -4.409 -4.243 -4.043 -3.774 -3.471 -3.187 -2.826 -2.424 -2.001 -1.503 -1.316 -1.281 -1.213 -1.183 23 -4.641 -4.526 -4.385 -4.220 -4.028 -3.798 -3.502 -3.172 -2.803 -2.417 -1.987 -1.490 -1.288 -1.251 -1.179 -1.148 24 -4.637 -4.522 -4.381 -4.215 -4.019 -3.768 -3.481 -3.180 -2.811 -2.421 -1.981 -1.468 -1.263 -1.226 -1.156 -1.125 25 -4.616 -4.501 -4.360 -4.195 -3.999 -3.759 -3.482 -3.167 -2.796 -2.416 -1.976 -1.434 -1.220 -1.184 -1.118 -1.089 26 -4.613 -4.498 -4.357 -4.192 -3.999 -3.769 -3.495 -3.182 -2.796 -2.397 -1.955 -1.431 -1.223 -1.186 -1.116 -1.086 27 -4.593 -4.478 -4.337 -4.171 -3.976 -3.733 -3.423 -3.102 -2.744 -2.363 -1.916 -1.363 -1.163 -1.129 -1.068 -1.041 28 -4.599 -4.484 -4.343 -4.177 -3.983 -3.734 -3.406 -3.079 -2.724 -2.341 -1.896 -1.347 -1.150 -1.117 -1.059 -1.032 29 -4.567 -4.451 -4.310 -4.145 -3.955 -3.738 -3.465 -3.124 -2.686 -2.210 -1.676 -1.176 -1.063 -1.038 -0.989 -0.964 30 -4.557 -4.442 -4.301 -4.135 -3.945 -3.723 -3.432 -3.070 -2.600 -2.112 -1.647 -1.188 -1.061 -1.033 -0.984 -0.960 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 -6.205 -6.246 -6.287 -6.324 -6.364 -6.405 -6.446 -6.487 -6.572 -6.569 -6.610 -6.977 -6.978 -6.976 -6.972 -6.967 ---------------------------------------------------------------------------------------------------------------------------------- 2 -1.604 -1.552 -1.496 -1.444 -1.380 -1.309 -1.232 -1.147 -0.882 -0.958 -0.851 1.254 1.063 0.868 0.686 0.514 3 -1.492 -1.467 -1.442 -1.418 -1.393 -1.367 -1.342 -1.315 -1.265 -1.263 -1.236 -1.003 -0.999 -0.998 -0.998 -0.999 4 -1.869 -1.841 -1.812 -1.787 -1.758 -1.727 -1.697 -1.665 -1.593 -1.601 -1.567 -1.124 -1.145 -1.167 -1.191 -1.214 5 -1.661 -1.619 -1.576 -1.537 -1.492 -1.446 -1.398 -1.350 -1.233 -1.253 -1.205 -0.803 -0.805 -0.810 -0.818 -0.827 6 -1.447 -1.401 -1.355 -1.316 -1.272 -1.228 -1.186 -1.144 -1.056 -1.065 -1.028 -0.731 -0.730 -0.731 -0.735 -0.739 7 -1.241 -1.201 -1.162 -1.130 -1.095 -1.060 -1.027 -0.995 -0.932 -0.933 -0.903 -0.636 -0.637 -0.640 -0.644 -0.647 8 -1.116 -1.084 -1.053 -1.026 -0.997 -0.969 -0.941 -0.913 -0.857 -0.857 -0.829 -0.556 -0.559 -0.564 -0.570 -0.575 9 -1.021 -0.992 -0.963 -0.938 -0.910 -0.882 -0.853 -0.825 -0.765 -0.767 -0.737 -0.358 -0.381 -0.403 -0.423 -0.440 10 -0.967 -0.940 -0.912 -0.885 -0.856 -0.826 -0.795 -0.764 -0.691 -0.698 -0.664 0.049 -0.031 -0.104 -0.167 -0.220 11 -0.934 -0.909 -0.883 -0.860 -0.835 -0.809 -0.783 -0.757 -0.707 -0.705 -0.678 -0.444 -0.441 -0.440 -0.441 -0.442 12 -1.382 -1.358 -1.334 -1.312 -1.287 -1.261 -1.236 -1.211 -1.160 -1.160 -1.134 -0.860 -0.866 -0.872 -0.880 -0.886 13 -1.379 -1.344 -1.310 -1.281 -1.249 -1.218 -1.188 -1.159 -1.092 -1.098 -1.066 -0.704 -0.723 -0.740 -0.759 -0.774 14 -1.341 -1.309 -1.278 -1.250 -1.220 -1.190 -1.160 -1.129 -1.061 -1.066 -1.034 -0.637 -0.656 -0.676 -0.697 -0.716 15 -1.280 -1.248 -1.216 -1.187 -1.155 -1.121 -1.088 -1.052 -0.969 -0.980 -0.941 -0.457 -0.477 -0.500 -0.525 -0.550 16 -1.215 -1.179 -1.142 -1.109 -1.071 -1.031 -0.991 -0.948 -0.841 -0.860 -0.813 -0.335 -0.343 -0.355 -0.372 -0.389 17 -1.113 -1.073 -1.032 -0.995 -0.952 -0.907 -0.861 -0.814 -0.697 -0.717 -0.669 -0.253 -0.257 -0.263 -0.273 -0.283 18 -0.989 -0.941 -0.891 -0.848 -0.799 -0.749 -0.700 -0.651 -0.543 -0.558 -0.514 -0.178 -0.180 -0.183 -0.189 -0.194 19 -0.916 -0.866 -0.817 -0.775 -0.728 -0.682 -0.639 -0.597 -0.510 -0.518 -0.481 -0.208 -0.206 -0.205 -0.207 -0.209 20 -1.163 -1.138 -1.113 -1.090 -1.066 -1.041 -1.016 -0.990 -0.940 -0.939 -0.913 -0.675 -0.675 -0.675 -0.678 -0.681 21 -1.186 -1.154 -1.122 -1.094 -1.064 -1.034 -1.004 -0.974 -0.914 -0.916 -0.887 -0.624 -0.625 -0.627 -0.632 -0.636 22 -1.151 -1.119 -1.087 -1.059 -1.028 -0.998 -0.968 -0.939 -0.879 -0.881 -0.852 -0.582 -0.585 -0.588 -0.594 -0.599 23 -1.116 -1.083 -1.051 -1.024 -0.993 -0.963 -0.934 -0.905 -0.845 -0.847 -0.818 -0.536 -0.541 -0.546 -0.554 -0.560 24 -1.094 -1.062 -1.031 -1.004 -0.974 -0.944 -0.915 -0.886 -0.827 -0.828 -0.799 -0.500 -0.508 -0.516 -0.526 -0.534 25 -1.059 -1.029 -0.999 -0.974 -0.945 -0.917 -0.890 -0.862 -0.806 -0.806 -0.778 -0.491 -0.497 -0.504 -0.513 -0.520 26 -1.054 -1.022 -0.991 -0.964 -0.935 -0.905 -0.876 -0.846 -0.784 -0.787 -0.757 -0.422 -0.435 -0.448 -0.462 -0.474 27 -1.012 -0.983 -0.954 -0.929 -0.901 -0.873 -0.845 -0.816 -0.757 -0.759 -0.730 -0.388 -0.403 -0.417 -0.432 -0.445 28 -1.004 -0.975 -0.946 -0.921 -0.893 -0.864 -0.836 -0.807 -0.746 -0.749 -0.719 -0.340 -0.359 -0.378 -0.396 -0.413 29 -0.937 -0.911 -0.885 -0.862 -0.837 -0.809 -0.780 -0.750 -0.685 -0.690 -0.659 -0.263 -0.283 -0.304 -0.327 -0.347 30 -0.934 -0.908 -0.881 -0.856 -0.829 -0.800 -0.772 -0.743 -0.680 -0.684 -0.654 -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 1.00 Hp overshoot Z 5000 5250 5500 5750 6000 6250 6500 6750 7000 7250 7500 7750 8000 8250 8500 8750 qcvz -7.160 -7.243 -7.431 -7.727 -8.069 -8.382 -8.631 -8.815 -8.960 -9.086 -9.203 -9.320 -9.430 -9.554 -9.678 -9.809 ---------------------------------------------------------------------------------------------------------------------------------- 2 4.726 4.637 4.485 4.267 4.024 3.801 3.630 3.506 3.411 3.334 3.262 3.190 3.121 3.044 2.967 2.888 3 4.508 4.416 4.264 4.047 3.809 3.595 3.430 3.310 3.218 3.139 3.066 2.994 2.926 2.849 2.771 2.690 4 4.495 4.404 4.249 4.029 3.789 3.572 3.405 3.284 3.191 3.111 3.038 2.966 2.897 2.820 2.743 2.663 5 4.491 4.402 4.245 4.022 3.778 3.558 3.389 3.267 3.173 3.093 3.019 2.947 2.878 2.801 2.724 2.643 6 4.508 4.421 4.263 4.037 3.790 3.567 3.395 3.272 3.177 3.096 3.022 2.950 2.881 2.804 2.726 2.646 7 4.483 4.399 4.241 4.013 3.763 3.538 3.365 3.240 3.144 3.063 2.989 2.916 2.847 2.769 2.692 2.612 8 4.460 4.378 4.221 3.992 3.740 3.512 3.337 3.211 3.115 3.034 2.959 2.885 2.816 2.738 2.661 2.581 9 4.409 4.329 4.174 3.944 3.690 3.461 3.285 3.158 3.062 2.979 2.904 2.830 2.761 2.683 2.605 2.524 10 4.411 4.334 4.179 3.949 3.693 3.463 3.285 3.158 3.060 2.977 2.901 2.827 2.757 2.679 2.601 2.520 11 4.373 4.297 4.144 3.913 3.657 3.426 3.247 3.119 3.021 2.937 2.861 2.786 2.716 2.637 2.559 2.478 12 4.371 4.296 4.144 3.913 3.656 3.423 3.243 3.114 3.015 2.931 2.855 2.779 2.709 2.630 2.551 2.469 13 4.340 4.267 4.116 3.885 3.627 3.394 3.213 3.083 2.984 2.900 2.822 2.747 2.676 2.596 2.517 2.435 14 4.341 4.269 4.118 3.887 3.628 3.394 3.213 3.082 2.982 2.897 2.819 2.743 2.672 2.592 2.512 2.430 15 4.310 4.239 4.089 3.858 3.599 3.364 3.182 3.051 2.951 2.865 2.787 2.711 2.639 2.559 2.479 2.396 16 4.309 4.240 4.090 3.859 3.600 3.364 3.181 3.050 2.949 2.863 2.784 2.707 2.635 2.554 2.474 2.391 17 4.275 4.206 4.057 3.826 3.567 3.330 3.147 3.015 2.914 2.827 2.748 2.671 2.598 2.517 2.437 2.353 18 4.230 4.162 4.014 3.784 3.524 3.287 3.103 2.971 2.869 2.782 2.703 2.625 2.552 2.471 2.390 2.306 19 4.253 4.186 4.038 3.808 3.547 3.310 3.126 2.992 2.890 2.803 2.723 2.645 2.572 2.490 2.409 2.325 20 4.253 4.187 4.039 3.808 3.548 3.310 3.125 2.991 2.889 2.801 2.721 2.643 2.569 2.487 2.406 2.321 21 4.208 4.143 3.995 3.765 3.504 3.266 3.081 2.947 2.844 2.756 2.676 2.597 2.523 2.441 2.359 2.274 22 4.188 4.123 3.976 3.746 3.485 3.246 3.061 2.926 2.823 2.735 2.654 2.575 2.501 2.419 2.337 2.252 23 4.168 4.103 3.957 3.727 3.465 3.226 3.041 2.906 2.803 2.714 2.633 2.554 2.480 2.397 2.314 2.229 24 4.167 4.103 3.957 3.727 3.465 3.226 3.039 2.904 2.801 2.712 2.631 2.551 2.477 2.394 2.311 2.226 25 4.149 4.086 3.940 3.710 3.448 3.208 3.022 2.886 2.782 2.694 2.612 2.532 2.458 2.374 2.291 2.206 26 4.150 4.087 3.941 3.711 3.448 3.208 3.021 2.886 2.781 2.692 2.611 2.531 2.456 2.372 2.289 2.203 27 4.132 4.069 3.924 3.694 3.431 3.190 3.003 2.867 2.763 2.674 2.592 2.512 2.437 2.353 2.270 2.184 28 4.141 4.079 3.933 3.703 3.440 3.199 3.011 2.875 2.771 2.681 2.599 2.519 2.444 2.360 2.276 2.190 29 4.110 4.048 3.903 3.673 3.410 3.169 2.981 2.845 2.740 2.650 2.568 2.488 2.412 2.328 2.244 2.158 30 4.103 4.042 3.897 3.667 3.403 3.162 2.974 2.837 2.732 2.643 2.560 2.480 2.404 2.320 2.236 2.149 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 9000 9250 9500 9750 10000 10250 10500 10750 11000 11250 11500 11750 12000 12250 12500 12750 qcvz -9.952 -10.106 -10.286 -10.495 -10.734 -11.016 -11.338 -11.708 -12.117 -12.565 -13.070 -13.599 -14.144 -14.716 -15.525 -15.989 ---------------------------------------------------------------------------------------------------------------------------------- 2 2.800 2.704 2.594 2.462 2.314 2.133 1.926 1.674 1.386 1.076 0.729 0.334 -0.130 -0.664 -1.339 -1.669 3 2.601 2.504 2.392 2.257 2.103 1.920 1.709 1.407 0.990 0.487 0.063 -0.276 -0.647 -1.067 -1.622 -1.913 4 2.575 2.479 2.369 2.236 2.083 1.900 1.690 1.412 1.069 0.676 0.333 0.008 -0.336 -0.707 -1.231 -1.527 5 2.555 2.460 2.351 2.220 2.068 1.886 1.677 1.408 1.104 0.800 0.498 0.180 -0.174 -0.572 -1.215 -1.631 6 2.558 2.463 2.354 2.223 2.072 1.891 1.682 1.416 1.105 0.767 0.416 0.049 -0.321 -0.728 -1.383 -1.786 7 2.524 2.429 2.320 2.188 2.037 1.857 1.647 1.389 1.094 0.770 0.416 0.025 -0.397 -0.857 -1.516 -1.958 8 2.492 2.397 2.288 2.156 2.004 1.823 1.613 1.345 1.013 0.624 0.222 -0.171 -0.574 -1.022 -1.648 -2.127 9 2.436 2.341 2.231 2.098 1.946 1.764 1.553 1.276 0.926 0.521 0.119 -0.259 -0.648 -1.085 -1.734 -2.272 10 2.431 2.336 2.225 2.093 1.940 1.757 1.545 1.267 0.907 0.475 0.048 -0.349 -0.783 -1.217 -1.856 -2.386 11 2.388 2.292 2.182 2.048 1.895 1.711 1.499 1.210 0.830 0.373 -0.046 -0.427 -0.840 -1.281 -1.927 -2.447 12 2.380 2.283 2.172 2.038 1.884 1.699 1.487 1.186 0.780 0.309 -0.081 -0.420 -0.798 -1.209 -1.742 -2.039 13 2.345 2.248 2.137 2.002 1.848 1.662 1.449 1.169 0.822 0.440 0.079 -0.267 -0.617 -0.984 -1.541 -1.933 14 2.340 2.243 2.130 1.996 1.841 1.655 1.440 1.167 0.845 0.497 0.152 -0.184 -0.554 -0.959 -1.569 -1.974 15 2.305 2.208 2.095 1.960 1.804 1.618 1.403 1.145 0.867 0.585 0.261 -0.107 -0.505 -0.940 -1.592 -2.033 16 2.300 2.202 2.089 1.953 1.797 1.611 1.396 1.144 0.870 0.579 0.240 -0.138 -0.545 -0.993 -1.660 -2.100 17 2.262 2.164 2.050 1.914 1.758 1.571 1.355 1.095 0.788 0.437 0.068 -0.312 -0.720 -1.149 -1.777 -2.195 18 2.215 2.116 2.002 1.866 1.709 1.522 1.306 1.056 0.776 0.458 0.097 -0.298 -0.738 -1.190 -1.863 -2.296 19 2.233 2.134 2.020 1.884 1.727 1.539 1.323 1.045 0.704 0.333 -0.029 -0.386 -0.771 -1.211 -1.909 -2.341 20 2.229 2.130 2.015 1.879 1.722 1.534 1.318 1.066 0.768 0.409 0.006 -0.394 -0.817 -1.259 -1.891 -2.252 21 2.182 2.083 1.968 1.831 1.674 1.486 1.270 0.999 0.680 0.333 -0.027 -0.402 -0.785 -1.190 -1.761 -2.137 22 2.159 2.059 1.944 1.807 1.650 1.462 1.246 0.977 0.669 0.348 0.014 -0.366 -0.768 -1.185 -1.787 -2.169 23 2.136 2.037 1.921 1.784 1.627 1.439 1.223 0.964 0.660 0.321 -0.026 -0.388 -0.773 -1.191 -1.795 -2.184 24 2.133 2.033 1.917 1.780 1.622 1.434 1.218 0.953 0.651 0.329 -0.010 -0.377 -0.767 -1.194 -1.809 -2.208 25 2.113 2.012 1.897 1.759 1.601 1.413 1.198 0.937 0.644 0.323 -0.023 -0.386 -0.769 -1.195 -1.829 -2.245 26 2.110 2.010 1.894 1.756 1.598 1.410 1.195 0.940 0.655 0.337 -0.020 -0.397 -0.792 -1.218 -1.843 -2.247 27 2.090 1.989 1.874 1.736 1.578 1.390 1.174 0.911 0.604 0.266 -0.079 -0.436 -0.822 -1.254 -1.888 -2.314 28 2.096 1.996 1.880 1.742 1.584 1.396 1.180 0.914 0.598 0.248 -0.100 -0.456 -0.845 -1.275 -1.902 -2.329 29 2.064 1.963 1.847 1.709 1.551 1.363 1.148 0.898 0.612 0.273 -0.130 -0.555 -1.010 -1.499 -2.137 -2.467 30 2.055 1.954 1.838 1.700 1.542 1.354 1.139 0.885 0.586 0.220 -0.210 -0.651 -1.099 -1.540 -2.120 -2.458 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 13000 13250 13500 13750 14000 14250 14500 14750 15000 15250 15500 15750 16000 16250 16500 16750 qcvz -16.195 -16.234 -16.342 -16.390 -16.440 -16.490 -16.541 -16.592 -16.582 -16.633 -16.696 -16.746 -16.795 -16.826 -17.318 -17.276 ---------------------------------------------------------------------------------------------------------------------------------- 2 -1.855 -1.891 -2.019 -2.076 -2.140 -2.209 -2.285 -2.367 -2.318 -2.401 -2.521 -2.618 -2.721 -2.772 -4.848 -4.484 3 -2.041 -2.069 -2.138 -2.171 -2.205 -2.240 -2.274 -2.309 -2.305 -2.340 -2.383 -2.418 -2.452 -2.475 -2.831 -2.798 4 -1.667 -1.696 -1.775 -1.811 -1.848 -1.886 -1.926 -1.965 -1.955 -1.995 -2.046 -2.087 -2.129 -2.154 -2.708 -2.634 5 -1.824 -1.859 -1.973 -2.021 -2.073 -2.127 -2.182 -2.238 -2.213 -2.270 -2.344 -2.401 -2.457 -2.488 -3.026 -2.981 6 -2.012 -2.050 -2.181 -2.234 -2.289 -2.344 -2.398 -2.452 -2.430 -2.483 -2.550 -2.600 -2.648 -2.675 -3.105 -3.067 7 -2.219 -2.258 -2.383 -2.431 -2.480 -2.527 -2.574 -2.618 -2.605 -2.649 -2.703 -2.744 -2.783 -2.807 -3.202 -3.162 8 -2.374 -2.410 -2.511 -2.552 -2.592 -2.632 -2.672 -2.710 -2.703 -2.741 -2.789 -2.825 -2.862 -2.885 -3.282 -3.237 9 -2.487 -2.519 -2.608 -2.645 -2.683 -2.721 -2.759 -2.797 -2.790 -2.828 -2.875 -2.913 -2.951 -2.974 -3.466 -3.392 10 -2.560 -2.590 -2.671 -2.706 -2.743 -2.779 -2.816 -2.856 -2.847 -2.887 -2.939 -2.980 -3.022 -3.047 -3.809 -3.653 11 -2.596 -2.624 -2.696 -2.729 -2.763 -2.798 -2.833 -2.867 -2.864 -2.899 -2.942 -2.976 -3.011 -3.033 -3.390 -3.356 12 -2.173 -2.199 -2.270 -2.302 -2.335 -2.368 -2.402 -2.435 -2.429 -2.463 -2.507 -2.541 -2.575 -2.597 -2.986 -2.942 13 -2.138 -2.171 -2.272 -2.311 -2.352 -2.396 -2.439 -2.481 -2.468 -2.510 -2.561 -2.600 -2.638 -2.660 -3.128 -3.070 14 -2.171 -2.204 -2.300 -2.339 -2.379 -2.420 -2.462 -2.502 -2.491 -2.532 -2.583 -2.623 -2.663 -2.687 -3.198 -3.129 15 -2.230 -2.262 -2.357 -2.397 -2.439 -2.481 -2.524 -2.567 -2.554 -2.597 -2.654 -2.698 -2.744 -2.770 -3.365 -3.291 16 -2.292 -2.324 -2.422 -2.465 -2.511 -2.558 -2.607 -2.657 -2.637 -2.687 -2.754 -2.805 -2.858 -2.887 -3.491 -3.433 17 -2.384 -2.417 -2.522 -2.569 -2.619 -2.672 -2.726 -2.780 -2.756 -2.811 -2.884 -2.939 -2.995 -3.025 -3.578 -3.530 18 -2.497 -2.533 -2.651 -2.700 -2.751 -2.807 -2.867 -2.927 -2.899 -2.960 -3.037 -3.094 -3.149 -3.178 -3.656 -3.613 19 -2.519 -2.559 -2.699 -2.755 -2.813 -2.872 -2.930 -2.986 -2.963 -3.020 -3.089 -3.139 -3.187 -3.214 -3.625 -3.590 20 -2.387 -2.414 -2.484 -2.517 -2.550 -2.585 -2.619 -2.653 -2.647 -2.682 -2.725 -2.759 -2.793 -2.814 -3.176 -3.139 21 -2.326 -2.358 -2.453 -2.492 -2.533 -2.573 -2.613 -2.653 -2.643 -2.683 -2.732 -2.770 -2.808 -2.831 -3.220 -3.180 22 -2.360 -2.392 -2.487 -2.527 -2.567 -2.608 -2.648 -2.688 -2.678 -2.718 -2.767 -2.806 -2.843 -2.866 -3.262 -3.220 23 -2.387 -2.421 -2.520 -2.560 -2.601 -2.642 -2.682 -2.722 -2.712 -2.752 -2.801 -2.839 -2.877 -2.900 -3.307 -3.261 24 -2.411 -2.445 -2.542 -2.582 -2.622 -2.662 -2.703 -2.742 -2.732 -2.772 -2.821 -2.859 -2.896 -2.920 -3.343 -3.292 25 -2.451 -2.484 -2.577 -2.615 -2.654 -2.692 -2.731 -2.768 -2.761 -2.798 -2.845 -2.882 -2.918 -2.941 -3.351 -3.302 26 -2.451 -2.485 -2.582 -2.622 -2.662 -2.703 -2.743 -2.782 -2.773 -2.812 -2.862 -2.900 -2.938 -2.962 -3.417 -3.359 27 -2.506 -2.537 -2.625 -2.662 -2.700 -2.738 -2.777 -2.814 -2.806 -2.844 -2.892 -2.930 -2.967 -2.990 -3.448 -3.388 28 -2.518 -2.550 -2.636 -2.672 -2.710 -2.747 -2.786 -2.824 -2.816 -2.854 -2.902 -2.941 -2.979 -3.002 -3.492 -3.426 29 -2.607 -2.634 -2.710 -2.745 -2.781 -2.817 -2.853 -2.889 -2.881 -2.917 -2.962 -3.001 -3.040 -3.064 -3.566 -3.494 30 -2.605 -2.633 -2.713 -2.747 -2.782 -2.817 -2.854 -2.892 -2.883 -2.921 -2.970 -3.008 -3.047 -3.070 -3.581 -3.513 EL Teff[K] log g = 8.500 log(qvz) including 1.00 Hp overshoot Z 17000 17250 17500 17750 18000 18250 18500 18750 19000 19250 19500 19750 20000 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 1.627 1.516 1.334 1.083 0.810 0.561 0.363 0.214 0.096 -0.009 -0.106 -0.203 -0.295 -0.397 -0.499 -0.609 ---------------------------------------------------------------------------------------------------------------------------------- 2 -6.435 -6.319 -6.171 -5.999 -5.824 -5.667 -5.547 -5.458 -5.389 -5.333 -5.281 -5.229 -5.178 -5.123 -5.068 -5.010 3 -6.216 -6.098 -5.950 -5.779 -5.609 -5.460 -5.346 -5.262 -5.196 -5.138 -5.085 -5.033 -4.984 -4.928 -4.872 -4.813 4 -6.204 -6.085 -5.935 -5.761 -5.589 -5.437 -5.321 -5.236 -5.169 -5.111 -5.057 -5.005 -4.955 -4.899 -4.844 -4.786 5 -6.200 -6.083 -5.931 -5.754 -5.579 -5.424 -5.306 -5.219 -5.151 -5.092 -5.039 -4.986 -4.936 -4.880 -4.825 -4.766 6 -6.217 -6.103 -5.949 -5.769 -5.590 -5.432 -5.312 -5.223 -5.155 -5.096 -5.042 -4.989 -4.939 -4.883 -4.827 -4.769 7 -6.192 -6.080 -5.927 -5.745 -5.564 -5.403 -5.281 -5.192 -5.122 -5.063 -5.008 -4.955 -4.904 -4.849 -4.793 -4.734 8 -6.169 -6.059 -5.907 -5.724 -5.540 -5.377 -5.254 -5.163 -5.093 -5.033 -4.978 -4.924 -4.874 -4.818 -4.762 -4.703 9 -6.117 -6.011 -5.860 -5.676 -5.491 -5.327 -5.202 -5.110 -5.040 -4.979 -4.923 -4.869 -4.818 -4.762 -4.706 -4.647 10 -6.120 -6.015 -5.865 -5.681 -5.494 -5.328 -5.202 -5.109 -5.038 -4.977 -4.921 -4.866 -4.815 -4.758 -4.702 -4.643 11 -6.082 -5.979 -5.830 -5.645 -5.458 -5.291 -5.164 -5.071 -4.998 -4.937 -4.880 -4.825 -4.774 -4.717 -4.660 -4.600 12 -6.079 -5.978 -5.829 -5.645 -5.456 -5.288 -5.160 -5.066 -4.993 -4.931 -4.874 -4.819 -4.767 -4.709 -4.652 -4.592 13 -6.049 -5.949 -5.801 -5.617 -5.428 -5.259 -5.130 -5.035 -4.962 -4.899 -4.841 -4.786 -4.733 -4.675 -4.618 -4.558 14 -6.049 -5.950 -5.803 -5.619 -5.429 -5.259 -5.129 -5.034 -4.960 -4.897 -4.839 -4.783 -4.730 -4.671 -4.614 -4.553 15 -6.018 -5.921 -5.775 -5.590 -5.400 -5.230 -5.099 -5.003 -4.929 -4.865 -4.806 -4.750 -4.697 -4.638 -4.580 -4.518 16 -6.018 -5.921 -5.776 -5.591 -5.400 -5.229 -5.098 -5.001 -4.926 -4.862 -4.803 -4.746 -4.693 -4.634 -4.575 -4.513 17 -5.983 -5.887 -5.743 -5.558 -5.367 -5.196 -5.064 -4.967 -4.891 -4.827 -4.768 -4.710 -4.656 -4.597 -4.538 -4.476 18 -5.938 -5.843 -5.699 -5.515 -5.324 -5.152 -5.020 -4.923 -4.847 -4.782 -4.722 -4.664 -4.610 -4.550 -4.491 -4.429 19 -5.962 -5.868 -5.724 -5.540 -5.348 -5.175 -5.042 -4.944 -4.868 -4.803 -4.743 -4.684 -4.630 -4.570 -4.510 -4.447 20 -5.962 -5.868 -5.725 -5.540 -5.348 -5.175 -5.041 -4.943 -4.866 -4.801 -4.740 -4.682 -4.627 -4.566 -4.507 -4.444 21 -5.917 -5.824 -5.681 -5.497 -5.305 -5.131 -4.997 -4.899 -4.822 -4.756 -4.695 -4.636 -4.581 -4.520 -4.460 -4.397 22 -5.897 -5.804 -5.662 -5.478 -5.285 -5.111 -4.977 -4.878 -4.801 -4.734 -4.674 -4.615 -4.559 -4.498 -4.438 -4.374 23 -5.877 -5.785 -5.643 -5.459 -5.266 -5.092 -4.957 -4.858 -4.780 -4.714 -4.653 -4.593 -4.538 -4.476 -4.416 -4.352 24 -5.876 -5.785 -5.643 -5.459 -5.265 -5.091 -4.956 -4.856 -4.778 -4.712 -4.650 -4.591 -4.535 -4.473 -4.412 -4.348 25 -5.858 -5.767 -5.626 -5.442 -5.248 -5.074 -4.938 -4.838 -4.760 -4.693 -4.631 -4.571 -4.515 -4.453 -4.392 -4.328 26 -5.858 -5.768 -5.627 -5.443 -5.249 -5.074 -4.938 -4.837 -4.759 -4.692 -4.630 -4.570 -4.514 -4.451 -4.390 -4.326 27 -5.840 -5.751 -5.610 -5.425 -5.231 -5.056 -4.920 -4.819 -4.741 -4.673 -4.611 -4.551 -4.494 -4.432 -4.371 -4.306 28 -5.849 -5.760 -5.619 -5.435 -5.240 -5.065 -4.928 -4.827 -4.749 -4.681 -4.619 -4.558 -4.501 -4.439 -4.377 -4.313 29 -5.819 -5.730 -5.589 -5.405 -5.210 -5.034 -4.897 -4.797 -4.718 -4.650 -4.587 -4.527 -4.470 -4.407 -4.346 -4.281 30 -5.812 -5.723 -5.583 -5.399 -5.204 -5.027 -4.890 -4.789 -4.710 -4.642 -4.580 -4.519 -4.462 -4.399 -4.337 -4.272 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 -0.728 -0.857 -1.008 -1.180 -1.375 -1.605 -1.868 -2.169 -2.503 -2.870 -3.286 -3.724 -4.178 -4.658 -5.321 -5.671 ---------------------------------------------------------------------------------------------------------------------------------- 2 -4.946 -4.876 -4.794 -4.700 -4.595 -4.467 -4.320 -4.136 -3.922 -3.693 -3.435 -3.131 -2.758 -2.316 -1.787 -1.571 3 -4.747 -4.675 -4.592 -4.495 -4.384 -4.253 -4.103 -3.868 -3.526 -3.104 -2.769 -2.522 -2.241 -1.914 -1.504 -1.327 4 -4.721 -4.651 -4.569 -4.473 -4.364 -4.233 -4.083 -3.874 -3.605 -3.293 -3.039 -2.805 -2.552 -2.274 -1.895 -1.713 5 -4.702 -4.632 -4.552 -4.457 -4.349 -4.219 -4.070 -3.869 -3.640 -3.417 -3.204 -2.977 -2.714 -2.409 -1.911 -1.609 6 -4.704 -4.635 -4.555 -4.461 -4.353 -4.225 -4.075 -3.877 -3.642 -3.384 -3.122 -2.847 -2.567 -2.252 -1.743 -1.454 7 -4.670 -4.600 -4.520 -4.426 -4.318 -4.190 -4.040 -3.851 -3.631 -3.387 -3.122 -2.822 -2.491 -2.123 -1.610 -1.282 8 -4.639 -4.569 -4.488 -4.393 -4.285 -4.157 -4.006 -3.807 -3.549 -3.241 -2.928 -2.626 -2.314 -1.958 -1.479 -1.113 9 -4.582 -4.512 -4.431 -4.336 -4.227 -4.097 -3.947 -3.738 -3.463 -3.138 -2.825 -2.538 -2.240 -1.895 -1.393 -0.968 10 -4.578 -4.507 -4.426 -4.330 -4.221 -4.090 -3.939 -3.729 -3.443 -3.092 -2.754 -2.448 -2.105 -1.763 -1.270 -0.854 11 -4.535 -4.464 -4.382 -4.286 -4.176 -4.044 -3.892 -3.672 -3.366 -2.990 -2.660 -2.371 -2.048 -1.700 -1.199 -0.794 12 -4.526 -4.455 -4.373 -4.276 -4.165 -4.033 -3.880 -3.648 -3.316 -2.926 -2.625 -2.377 -2.090 -1.772 -1.384 -1.202 13 -4.491 -4.420 -4.337 -4.240 -4.128 -3.995 -3.842 -3.631 -3.359 -3.057 -2.785 -2.530 -2.271 -1.996 -1.585 -1.307 14 -4.486 -4.414 -4.331 -4.233 -4.121 -3.988 -3.834 -3.629 -3.381 -3.114 -2.858 -2.613 -2.334 -2.022 -1.558 -1.267 15 -4.452 -4.379 -4.295 -4.198 -4.085 -3.951 -3.796 -3.607 -3.403 -3.202 -2.967 -2.690 -2.383 -2.040 -1.534 -1.207 16 -4.446 -4.374 -4.289 -4.191 -4.078 -3.944 -3.789 -3.605 -3.407 -3.196 -2.946 -2.659 -2.343 -1.988 -1.466 -1.141 17 -4.408 -4.335 -4.251 -4.152 -4.039 -3.904 -3.749 -3.557 -3.325 -3.054 -2.774 -2.485 -2.169 -1.832 -1.349 -1.046 18 -4.361 -4.288 -4.203 -4.104 -3.990 -3.855 -3.700 -3.518 -3.312 -3.075 -2.803 -2.499 -2.150 -1.791 -1.264 -0.944 19 -4.379 -4.306 -4.220 -4.121 -4.008 -3.872 -3.716 -3.506 -3.241 -2.950 -2.677 -2.411 -2.117 -1.769 -1.217 -0.899 20 -4.375 -4.301 -4.216 -4.116 -4.003 -3.867 -3.711 -3.528 -3.305 -3.026 -2.712 -2.403 -2.071 -1.721 -1.235 -0.988 21 -4.328 -4.254 -4.168 -4.069 -3.955 -3.819 -3.663 -3.461 -3.216 -2.950 -2.679 -2.395 -2.103 -1.791 -1.365 -1.103 22 -4.305 -4.231 -4.145 -4.045 -3.931 -3.795 -3.639 -3.439 -3.206 -2.965 -2.720 -2.431 -2.120 -1.796 -1.339 -1.071 23 -4.283 -4.208 -4.122 -4.022 -3.907 -3.772 -3.616 -3.426 -3.197 -2.938 -2.680 -2.410 -2.115 -1.790 -1.332 -1.056 24 -4.279 -4.204 -4.118 -4.017 -3.903 -3.767 -3.611 -3.415 -3.188 -2.946 -2.696 -2.420 -2.121 -1.787 -1.317 -1.032 25 -4.259 -4.184 -4.097 -3.997 -3.882 -3.747 -3.591 -3.399 -3.181 -2.940 -2.683 -2.411 -2.119 -1.786 -1.297 -0.995 26 -4.256 -4.181 -4.094 -3.994 -3.879 -3.744 -3.588 -3.402 -3.191 -2.954 -2.686 -2.401 -2.096 -1.762 -1.284 -0.994 27 -4.236 -4.161 -4.074 -3.973 -3.859 -3.723 -3.567 -3.373 -3.140 -2.883 -2.627 -2.361 -2.066 -1.726 -1.238 -0.927 28 -4.243 -4.167 -4.080 -3.979 -3.865 -3.729 -3.573 -3.376 -3.135 -2.865 -2.606 -2.341 -2.043 -1.705 -1.224 -0.911 29 -4.211 -4.135 -4.048 -3.947 -3.832 -3.697 -3.541 -3.360 -3.149 -2.890 -2.577 -2.242 -1.878 -1.481 -0.989 -0.773 30 -4.202 -4.126 -4.039 -3.938 -3.823 -3.688 -3.532 -3.347 -3.122 -2.836 -2.496 -2.146 -1.789 -1.441 -1.006 -0.782 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 -5.823 -5.856 -5.936 -5.976 -6.016 -6.057 -6.098 -6.139 -6.136 -6.177 -6.226 -6.266 -6.306 -6.333 -6.711 -6.683 ---------------------------------------------------------------------------------------------------------------------------------- 2 -1.440 -1.410 -1.309 -1.261 -1.207 -1.147 -1.081 -1.009 -1.051 -0.978 -0.871 -0.784 -0.690 -0.643 1.317 0.968 3 -1.254 -1.233 -1.190 -1.166 -1.142 -1.117 -1.092 -1.067 -1.063 -1.039 -1.009 -0.984 -0.959 -0.940 -0.699 -0.717 4 -1.628 -1.606 -1.553 -1.527 -1.499 -1.470 -1.440 -1.411 -1.414 -1.384 -1.346 -1.315 -1.282 -1.262 -0.823 -0.881 5 -1.470 -1.443 -1.355 -1.316 -1.273 -1.229 -1.184 -1.138 -1.156 -1.109 -1.048 -1.001 -0.954 -0.927 -0.504 -0.534 6 -1.282 -1.252 -1.147 -1.103 -1.058 -1.013 -0.967 -0.924 -0.939 -0.895 -0.842 -0.802 -0.763 -0.740 -0.425 -0.449 7 -1.075 -1.043 -0.945 -0.906 -0.867 -0.829 -0.792 -0.758 -0.764 -0.730 -0.690 -0.658 -0.628 -0.608 -0.329 -0.354 8 -0.921 -0.891 -0.817 -0.785 -0.754 -0.724 -0.694 -0.665 -0.666 -0.637 -0.604 -0.576 -0.549 -0.531 -0.248 -0.278 9 -0.808 -0.782 -0.720 -0.692 -0.664 -0.635 -0.607 -0.579 -0.579 -0.551 -0.517 -0.489 -0.460 -0.441 -0.065 -0.124 10 -0.735 -0.711 -0.657 -0.631 -0.604 -0.577 -0.550 -0.519 -0.522 -0.492 -0.454 -0.422 -0.389 -0.368 0.279 0.137 11 -0.699 -0.677 -0.632 -0.608 -0.583 -0.558 -0.533 -0.508 -0.505 -0.480 -0.451 -0.426 -0.400 -0.382 -0.141 -0.159 12 -1.122 -1.102 -1.058 -1.035 -1.011 -0.988 -0.964 -0.941 -0.939 -0.915 -0.885 -0.861 -0.836 -0.819 -0.544 -0.573 13 -1.156 -1.130 -1.056 -1.026 -0.994 -0.960 -0.927 -0.894 -0.901 -0.869 -0.831 -0.802 -0.773 -0.756 -0.403 -0.445 14 -1.123 -1.097 -1.028 -0.999 -0.967 -0.936 -0.904 -0.873 -0.878 -0.847 -0.809 -0.779 -0.749 -0.729 -0.332 -0.387 15 -1.065 -1.039 -0.971 -0.940 -0.908 -0.875 -0.842 -0.808 -0.815 -0.781 -0.738 -0.704 -0.667 -0.645 -0.166 -0.224 16 -1.003 -0.977 -0.906 -0.872 -0.836 -0.798 -0.759 -0.719 -0.732 -0.692 -0.639 -0.597 -0.553 -0.528 -0.040 -0.083 17 -0.910 -0.884 -0.806 -0.768 -0.727 -0.685 -0.640 -0.595 -0.613 -0.568 -0.508 -0.462 -0.416 -0.390 0.047 0.014 18 -0.798 -0.769 -0.677 -0.637 -0.596 -0.550 -0.499 -0.448 -0.470 -0.419 -0.355 -0.308 -0.262 -0.237 0.125 0.098 19 -0.776 -0.742 -0.629 -0.582 -0.533 -0.484 -0.436 -0.389 -0.406 -0.359 -0.304 -0.263 -0.224 -0.201 0.094 0.074 20 -0.908 -0.888 -0.844 -0.820 -0.796 -0.772 -0.747 -0.722 -0.721 -0.697 -0.668 -0.643 -0.618 -0.601 -0.355 -0.377 21 -0.969 -0.943 -0.875 -0.845 -0.814 -0.783 -0.753 -0.723 -0.726 -0.696 -0.660 -0.632 -0.603 -0.584 -0.311 -0.336 22 -0.935 -0.909 -0.841 -0.811 -0.780 -0.749 -0.718 -0.688 -0.691 -0.661 -0.625 -0.596 -0.568 -0.549 -0.268 -0.296 23 -0.907 -0.880 -0.808 -0.777 -0.746 -0.715 -0.684 -0.654 -0.657 -0.627 -0.591 -0.563 -0.534 -0.515 -0.223 -0.254 24 -0.883 -0.857 -0.786 -0.756 -0.725 -0.694 -0.663 -0.634 -0.636 -0.607 -0.572 -0.543 -0.515 -0.496 -0.188 -0.224 25 -0.844 -0.818 -0.751 -0.722 -0.693 -0.664 -0.635 -0.607 -0.608 -0.580 -0.547 -0.520 -0.493 -0.474 -0.180 -0.213 26 -0.843 -0.817 -0.746 -0.716 -0.684 -0.653 -0.623 -0.593 -0.596 -0.566 -0.531 -0.502 -0.473 -0.454 -0.113 -0.157 27 -0.789 -0.764 -0.703 -0.675 -0.646 -0.618 -0.589 -0.561 -0.562 -0.534 -0.500 -0.472 -0.444 -0.425 -0.082 -0.128 28 -0.776 -0.752 -0.692 -0.665 -0.637 -0.609 -0.580 -0.551 -0.553 -0.525 -0.490 -0.461 -0.432 -0.413 -0.038 -0.090 29 -0.687 -0.668 -0.618 -0.592 -0.566 -0.539 -0.512 -0.487 -0.487 -0.462 -0.431 -0.401 -0.371 -0.351 0.035 -0.022 30 -0.690 -0.668 -0.615 -0.590 -0.565 -0.539 -0.512 -0.484 -0.486 -0.458 -0.423 -0.394 -0.364 -0.345 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