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Table A.1

Results from simulations including atomic diffusion.

M2,i ΔM Levitation? mthm [C/Fe]
post-th.mix.		 At the time when envelope mass is smallest [C/Fe]b
post-FDU
t (Gyr) log (L/L⊙) T eff log g M env [Fe/H] a [C/Fe] a
M1 = 0.9M⊙
0.700 0.100 no 0.411 1.88 15.84 0.4461 6366 4.06 2.79(−5) − 2.54 1.82 ...
yes 0.410 1.88 15.83 0.4462 6365 4.06 2.90(−5) − 2.25 1.56 ...
0.750 0.050 no 0.526 1.77 14.02 0.4573 6400 4.06 1.59(−5) − 2.61 1.71 ...
yes 0.525 1.78 14.00 0.4544 6402 4.06 1.69(−5) − 2.13 1.27 1.38
0.800 0.001 no 0.797 1.85 11.94 0.4986 6471 4.04 3.36(−6) − 3.05 1.86 ...
yes 0.797 1.83 11.93 0.4959 6465 4.04 3.98(−6) − 1.60 0.46 0.15
0.800 ∗ 0.010 no 0.760 1.76 11.79 0.4922 6464 4.05 5.28(−6) − 2.82 1.73 ...
yes 0.760 1.75 11.80 0.4930 6457 4.05 6.04(−6) − 1.73 0.67 0.72
0.750 0.100 no 0.462 1.91 13.24 0.5482 6581 4.05 3.94(−7) − 5.32 2.72 ...
yes 0.461 1.91 13.25 0.5490 6555 4.04 4.66(−7) − 0.63 − 1.67 ...
0.800 0.050 no 0.576 1.84 11.50 0.5567 6647 4.05 1.44(−7) − 7.71 3.95 ...
yes 0.578 1.76 11.48 0.5522 6616 4.05 1.56(−7) − 0.35 − 2.60 1.34
0.700 0.200 no 0.361 2.06 12.76 † 0.4587 6798 4.22 5.97(−8) −inf inf ...
yes 0.360 2.05 12.99 † 0.4907 6781 4.18 4.14(−8) − 0.44 − 3.90 ...
0.800 0.100 no 0.515 2.06 10.13 † 0.4557 6858 4.23 2.91(−8) −inf inf ...
yes 0.518 1.49 10.54 † 0.5170 6874 4.18 1.03(−8) − 0.42 − 3.17 ...
M1 = 1.0M⊙
0.600 0.200 no 0.342 1.55 16.00 ‡ 0.4132 6495 4.13 4.03(−6) − 3.05 1.50 ...
yes 0.341 1.55 16.00 ‡ 0.4120 6486 4.13 4.80(−6) − 1.84 0.38 ...
0.700 0.100 no 0.477 1.44 14.66 0.4815 6489 4.06 2.21(−6) − 3.44 1.48 ...
yes 0.479 1.44 14.67 0.4854 6476 4.05 2.66(−6) − 1.48 − 0.37 1.11
0.750 0.050 no 0.602 1.36 13.45 0.4875 6498 4.06 1.82(−6) − 3.56 1.45 ...
yes 0.601 1.36 13.43 0.4871 6488 4.06 2.16(−6) − 1.37 − 0.62 0.83
0.800 0.001 no 0.797 1.28 11.93 0.4992 6531 4.06 9.59(−7) − 4.11 1.56 ...
yes 0.797 1.28 11.92 0.4987 6515 4.05 1.18(−6) − 1.10 − 1.25 0.03
0.800 0.010 no 0.778 1.34 11.73 0.5113 6558 4.06 5.99(−7) − 4.69 1.85 ...
yes 0.777 1.33 11.73 0.5109 6540 4.05 7.05(−7) − 0.85 − 1.74 0.31
0.650 0.200 no 0.380 1.56 13.16 † 0.4455 6764 4.20 7.90(−8) −inf inf ...
yes 0.382 1.58 13.51 † 0.5007 6759 4.14 3.76(−8) − 0.42 − 4.47 ...
0.750 0.100 no 0.528 1.48 11.33 † 0.4298 6776 4.21 7.68(−8) −inf inf ...
yes 0.528 1.48 11.78 † 0.5005 6783 4.15 2.78(−8) − 0.42 − 4.82 ...
0.800 ∗ 0.050 no 0.655 1.42 10.32 † 0.4584 6812 4.20 3.87(−8) −inf inf ...
yes 0.654 1.39 10.31 † 0.4566 6781 4.19 4.25(−8) − 0.44 − 4.46 ...
0.700 0.200 no 0.427 1.62 9.88 † 0.3482 6879 4.35 5.60(−8) −inf inf ...
yes 0.428 1.58 10.35 † 0.3998 6918 4.31 1.68(−8) − 0.56 − 7.12 ...
M1 = 1.25M⊙
0.600 0.200 no 0.158 2.21 14.35 0.4497 6302 4.04 6.44(−5) − 2.46 2.15 2.04
yes 0.156 2.21 14.34 0.4487 6302 4.04 6.63(−5) − 2.34 2.04 2.04
0.700 ∗ 0.100 no 0.263 1.94 13.31 0.4596 6358 4.05 2.42(−5) − 2.60 1.87 1.80
yes 0.264 1.95 13.28 0.4534 6359 4.05 2.59(−5) − 2.26 1.57 1.80
0.750 0.050 no 0.370 1.78 12.68 0.4628 6400 4.06 1.19(−5) − 2.74 1.71 ...
yes 0.370 1.78 12.66 0.4598 6397 4.06 1.32(−5) − 2.11 1.12 1.58
0.800 0.001 no 0.796 1.90 11.90 0.4925 6457 4.04 3.56(−6) − 3.15 1.88 ...
yes 0.796 1.90 11.89 0.4914 6449 4.04 4.40(−6) − 1.69 0.50 ...
0.800 0.010 no 0.600 1.52 11.58 0.5006 6507 4.05 1.46(−6) − 3.74 1.64 ...
yes 0.600 1.51 11.57 0.4979 6495 4.05 1.88(−6) − 1.30 − 0.62 0.92
0.650 0.200 no 0.149 2.12 11.65 0.5482 6513 4.03 1.13(−6) − 3.96 2.32 ...
yes 0.150 2.12 11.62 0.5426 6501 4.03 1.47(−6) − 1.17 − 0.29 ...
0.750 0.100 no 0.309 1.96 10.90 0.5598 6589 4.04 3.02(−7) − 6.13 3.10 ...
yes 0.308 1.97 10.88 0.5578 6561 4.03 3.60(−7) − 0.56 − 1.98 1.78
0.800 0.050 no 0.419 1.81 10.28 0.5552 6662 4.06 1.15(−7) −inf inf ...
yes 0.421 1.81 10.30 0.5597 6625 4.05 1.27(−7) − 0.36 − 3.19 ...
M1 = 1.5M⊙
0.600 0.200 no ... 2.37 12.70 0.2746 6166 4.18 1.12(−3) − 2.29 2.35 2.28
yes ... 2.40 12.72 0.2751 6166 4.18 1.13(−3) − 2.28 2.34 2.28
0.800 0.010 no 0.495 1.67 11.56 0.4913 6449 4.05 4.15(−6) − 3.11 1.64 1.22
yes 0.493 1.67 11.54 0.4886 6445 4.05 5.01(−6) − 1.73 0.35 1.22
0.650 0.200 no ... 2.37 10.44 0.3817 6307 4.14 1.30(−4) − 2.41 2.32 2.25
yes ... 2.38 10.42 0.3804 6305 4.14 1.34(−4) − 2.35 2.28 2.25
no accretion
0.750 ... no ... ... 15.06 0.3914 6345 4.08 2.59(−5) − 2.63 − 0.09 ...
yes ... ... 15.06 0.3901 6345 4.09 2.75(−5) − 2.33 − 0.24 ...
0.800 ... no ... ... 11.93 0.4951 6580 4.07 4.48(−7) − 5.38 0.73 ...
yes ... ... 11.94 0.4961 6558 4.07 5.27(−7) − 0.80 − 3.33 − 0.02
0.850 ... no ... ... 8.35 † 0.3818 6819 4.27 6.75(−8) −inf inf ...
yes ... ... 8.51 † 0.4027 6814 4.25 5.28(−8) − 1.07 − 4.25 ...

Notes. The columns list the initial mass of the secondary (M2,i); accreted mass (ΔM); whether levitation was included; the deepest mass coordinate reached by thermohaline mixing (mthm); [C/Fe] after thermohaline mixing ends; the age (t), luminosity (L), effective temperature (Teff), surface gravity (g), envelope mass (Menv), metallicity ([Fe/H]), and [C/Fe] when the envelope mass reaches a minimum; [C/Fe] after first dredge-up. The table is sectioned according to the initial primary mass, M1. All masses are in solar masses; other quantities are in cgs units unless indicated otherwise. Values of Menv are given in the format n(m) = n × 10m for concision.

(a)

An “inf” indicates that one of the mass fractions is below 10-12.

(b)

Most of the models stop earlier.

(∗)

Systems (with levitation) used in resolution tests (see Sect. 5).

(†)

Models stop before reaching the minimum of Menv. The listed values are from the last converged model.

(‡)

Models reach t = 16Gyr before reaching the minimum of Menv. The listed values are for the final model.

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