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Table A.2:

Outermost 1 $~{R}_\odot$ of a 20  $~{M}_\odot$ model at solar metallicity (Z=0.02). The table shows the physical variables at t =  $6.41\times 10^6$ years. Columns contain the progressive grid point of the model, the status (R = radiative, C = convective), the optical depth $\tau $, the opacity $\varkappa $, the density $\rho $, the radius R, the value M*-Mr (where M* is the total stellar mass and Mr is the mass coordinate), the temperature T, the convective velocity $v_{\rm c}$ and the local sound speed $c_{\rm s}$. All the values are in cgs units if not otherwise specified.
Grid point Stat $\tau $ $\varkappa $ $\rho $ R [ $~{R}_\odot$] M*-Mr [g] T[K] $v_{\rm c}$ [km s-1] $c_{\rm s}$ [km s-1]
1009 R 1.88E+04 1.15006 9.1148E-07 9.4516 3.91E-05 3.415E+05 0.00 110.14
1010 R 1.80E+04 1.16843 8.4671E-07 9.4634 3.70E-05 3.363E+05 0.00 109.93
1011 R 1.68E+04 1.18658 7.8819E-07 9.4826 3.39E-05 3.313E+05 0.00 109.74
1012 R 1.61E+04 1.19963 7.4912E-07 9.4929 3.23E-05 3.279E+05 0.00 109.61
1013 R 1.55E+04 1.21788 6.9847E-07 9.5037 3.08E-05 3.232E+05 0.00 109.45
1014 R 1.45E+04 1.24209 6.3760E-07 9.5220 2.83E-05 3.172E+05 0.00 109.26
1015 R 1.35E+04 1.26170 5.9299E-07 9.5413 2.59E-05 3.125E+05 0.00 109.14
1016 R 1.30E+04 1.27584 5.6324E-07 9.5516 2.47E-05 3.093E+05 0.00 109.06
1017 R 1.24E+04 1.29061 5.3416E-07 9.5624 2.36E-05 3.060E+05 0.00 108.98
1018 R 1.19E+04 1.30554 5.0665E-07 9.5733 2.24E-05 3.027E+05 0.00 108.92
1019 R 1.15E+04 1.32091 4.8003E-07 9.5841 2.14E-05 2.994E+05 0.00 108.86
1020 R 1.10E+04 1.33683 4.5439E-07 9.5954 2.03E-05 2.961E+05 0.00 108.81
1021 R 1.05E+04 1.35328 4.2968E-07 9.6065 1.93E-05 2.928E+05 0.00 108.77
1022 R 1.01E+04 1.37094 4.0503E-07 9.6182 1.83E-05 2.893E+05 0.00 108.73
1023 R 9.62E+03 1.38833 3.8248E-07 9.6306 1.73E-05 2.860E+05 0.00 108.71
1024 R 9.24E+03 1.40532 3.6200E-07 9.6416 1.65E-05 2.828E+05 0.00 108.69
1025 R 8.85E+03 1.42367 3.4159E-07 9.6531 1.57E-05 2.795E+05 0.00 108.68
1026 R 8.45E+03 1.44389 3.2125E-07 9.6653 1.48E-05 2.761E+05 0.00 108.67
1027 R 8.05E+03 1.46417 3.0276E-07 9.6783 1.40E-05 2.728E+05 0.00 108.67
1028 R 7.72E+03 1.48419 2.8611E-07 9.6896 1.33E-05 2.697E+05 0.00 108.68
1029 R 7.38E+03 1.50595 2.6954E-07 9.7016 1.26E-05 2.664E+05 0.00 108.68
1030 R 7.04E+03 1.52815 2.5408E-07 9.7142 1.19E-05 2.632E+05 0.00 108.68
1031 R 6.73E+03 1.55060 2.3969E-07 9.7260 1.13E-05 2.601E+05 0.00 108.68
1032 R 6.42E+03 1.57310 2.2639E-07 9.7385 1.07E-05 2.570E+05 0.00 108.67
1033 R 6.15E+03 1.59542 2.1415E-07 9.7499 1.02E-05 2.541E+05 0.00 108.66
1034 R 5.88E+03 1.62281 2.0030E-07 9.7619 9.69E-06 2.505E+05 0.00 108.63
1035 R 5.53E+03 1.65803 1.8493E-07 9.7784 9.02E-06 2.463E+05 0.00 108.57
1036 R 5.17E+03 1.69089 1.7276E-07 9.7961 8.35E-06 2.426E+05 0.00 108.48
1037 R 4.94E+03 1.72391 1.6211E-07 9.8077 7.94E-06 2.392E+05 0.00 108.36
1038 R 4.64E+03 1.76662 1.5016E-07 9.8242 7.39E-06 2.350E+05 0.00 108.14
1039 R 4.32E+03 1.80536 1.4067E-07 9.8420 6.84E-06 2.314E+05 0.00 107.88
1040 R 4.12E+03 1.83771 1.3352E-07 9.8539 6.50E-06 2.284E+05 0.00 107.60
1041 R 3.91E+03 1.86954 1.2702E-07 9.8664 6.15E-06 2.255E+05 0.00 107.28
1042 R 3.73E+03 1.90044 1.2115E-07 9.8776 5.85E-06 2.226E+05 0.00 106.90
1043 R 3.55E+03 1.93471 1.1542E-07 9.8894 5.56E-06 2.197E+05 0.00 106.44
1044 R 3.37E+03 1.97305 1.0986E-07 9.9017 5.26E-06 2.165E+05 0.00 105.86
1045 R 3.18E+03 2.01222 1.0492E-07 9.9146 4.96E-06 2.134E+05 0.00 105.21
1046 R 3.01E+03 2.05131 1.0056E-07 9.9260 4.71E-06 2.105E+05 0.00 104.47
1047 C 2.85E+03 2.09321 9.6390E-08 9.9379 4.46E-06 2.073E+05 0.27 103.59
1048 C 2.68E+03 2.13709 9.2418E-08 9.9502 4.21E-06 2.039E+05 3.48 102.53
1049 C 2.50E+03 2.17706 8.8976E-08 9.9630 3.96E-06 2.007E+05 5.74 101.40
1050 C 2.36E+03 2.21180 8.6007E-08 9.9739 3.76E-06 1.976E+05 7.30 100.24
1051 C 2.21E+03 2.24604 8.3153E-08 9.9851 3.55E-06 1.943E+05 8.51 98.93
1052 C 2.07E+03 2.27681 8.0595E-08 9.9967 3.35E-06 1.911E+05 9.43 97.55
1053 C 1.94E+03 2.30324 7.8309E-08 10.0070 3.17E-06 1.879E+05 10.10 96.14
1054 C 1.80E+03 2.32459 7.6279E-08 10.0177 2.99E-06 1.848E+05 10.53 94.69
1055 C 1.69E+03 2.34028 7.4483E-08 10.0269 2.84E-06 1.818E+05 10.74 93.24
1056 C 1.58E+03 2.35064 7.2749E-08 10.0363 2.69E-06 1.786E+05 10.81 91.67
1057 C 1.47E+03 2.35334 7.1321E-08 10.0460 2.54E-06 1.758E+05 10.61 90.24
1058 C 1.39E+03 2.34958 7.0171E-08 10.0528 2.43E-06 1.734E+05 10.26 89.00
1059 C 1.31E+03 2.33995 6.9027E-08 10.0598 2.33E-06 1.708E+05 9.87 87.70
1060 C 1.23E+03 2.32417 6.7878E-08 10.0668 2.22E-06 1.682E+05 9.34 86.34
1061 C 1.16E+03 2.30414 6.6802E-08 10.0740 2.12E-06 1.657E+05 8.69 85.05
1062 C 1.09E+03 2.28134 6.5791E-08 10.0801 2.03E-06 1.633E+05 8.00 83.83
1063 C 1.03E+03 2.25516 6.4766E-08 10.0863 1.94E-06 1.610E+05 7.32 82.61
1064 C 9.71E+02 2.22633 6.3719E-08 10.0923 1.86E-06 1.585E+05 6.62 81.39
1065 C 9.12E+02 2.19204 6.2614E-08 10.0984 1.77E-06 1.561E+05 5.91 80.16
1066 C 8.55E+02 2.15002 6.1433E-08 10.1046 1.69E-06 1.535E+05 5.16 78.90
1067 C 8.00E+02 2.10271 6.0183E-08 10.1109 1.60E-06 1.509E+05 4.39 77.68
1068 C 7.48E+02 2.05208 5.8853E-08 10.1170 1.52E-06 1.483E+05 3.66 76.48
1069 C 6.97E+02 2.01013 5.7714E-08 10.1233 1.44E-06 1.462E+05 3.03 75.53
1070 C 6.68E+02 1.97885 5.6821E-08 10.1270 1.40E-06 1.447E+05 2.59 74.84
1071 C 6.40E+02 1.94778 5.5882E-08 10.1308 1.35E-06 1.431E+05 2.26 74.14
1072 C 6.11E+02 1.91749 5.4897E-08 10.1346 1.30E-06 1.415E+05 1.97 73.45
1073 C 5.84E+02 1.88866 5.3907E-08 10.1386 1.25E-06 1.399E+05 1.71 72.79
1074 C 5.59E+02 1.86001 5.2917E-08 10.1422 1.21E-06 1.383E+05 1.49 72.15
1075 C 5.34E+02 1.83056 5.1882E-08 10.1459 1.17E-06 1.368E+05 1.28 71.52
1076 C 5.10E+02 1.80057 5.0800E-08 10.1497 1.13E-06 1.352E+05 1.09 70.88
1077 C 4.86E+02 1.76619 4.9509E-08 10.1536 1.08E-06 1.333E+05 0.91 70.17
1078 C 4.57E+02 1.72789 4.7985E-08 10.1586 1.03E-06 1.312E+05 0.73 69.36
1079 C 4.29E+02 1.69264 4.6470E-08 10.1638 9.72E-07 1.292E+05 0.56 68.61
1080 C 4.04E+02 1.66094 4.4977E-08 10.1686 9.24E-07 1.272E+05 0.43 67.90
1081 C 3.80E+02 1.63122 4.3415E-08 10.1735 8.75E-07 1.252E+05 0.32 67.18
1082 C 3.56E+02 1.60288 4.1784E-08 10.1786 8.26E-07 1.232E+05 0.23 66.46
1083 C 3.33E+02 1.57488 4.0035E-08 10.1838 7.78E-07 1.210E+05 0.16 65.72
1084 C 3.09E+02 1.54737 3.8160E-08 10.1896 7.26E-07 1.186E+05 0.10 64.94
1085 C 2.86E+02 1.52243 3.6302E-08 10.1957 6.75E-07 1.163E+05 0.05 64.18
1086 C 2.65E+02 1.49992 3.4470E-08 10.2015 6.29E-07 1.140E+05 0.01 63.44
1087 R 2.45E+02 1.48240 3.2925E-08 10.2075 5.83E-07 1.121E+05 0.00 62.83
1088 R 2.32E+02 1.46981 3.1697E-08 10.2115 5.54E-07 1.105E+05 0.00 62.35
1089 R 2.19E+02 1.45895 3.0510E-08 10.2156 5.24E-07 1.090E+05 0.00 61.88
1090 R 2.08E+02 1.44955 2.9369E-08 10.2194 4.99E-07 1.075E+05 0.00 61.43
1091 R 1.97E+02 1.44085 2.8205E-08 10.2234 4.73E-07 1.060E+05 0.00 60.97
1092 R 1.86E+02 1.43173 2.6869E-08 10.2275 4.47E-07 1.042E+05 0.00 60.43
1093 R 1.72E+02 1.42204 2.5352E-08 10.2329 4.15E-07 1.022E+05 0.00 59.81
1094 R 1.59E+02 1.41419 2.4109E-08 10.2385 3.82E-07 1.005E+05 0.00 59.29
1095 R 1.50E+02 1.40808 2.3160E-08 10.2421 3.63E-07 9.911E+04 0.00 58.89
1096 R 1.42E+02 1.40244 2.2244E-08 10.2458 3.44E-07 9.779E+04 0.00 58.50
1097 R 1.35E+02 1.39730 2.1365E-08 10.2493 3.27E-07 9.650E+04 0.00 58.12
1098 R 1.28E+02 1.39246 2.0485E-08 10.2529 3.10E-07 9.519E+04 0.00 57.73
1099 R 1.21E+02 1.38794 1.9605E-08 10.2565 2.93E-07 9.385E+04 0.00 57.34
1100 R 1.14E+02 1.38372 1.8710E-08 10.2603 2.76E-07 9.246E+04 0.00 56.93
1101 R 1.08E+02 1.37985 1.7798E-08 10.2642 2.60E-07 9.101E+04 0.00 56.51
1102 R 1.01E+02 1.37684 1.6995E-08 10.2684 2.43E-07 8.970E+04 0.00 56.13
1103 R 9.59E+01 1.37462 1.6306E-08 10.2716 2.31E-07 8.855E+04 0.00 55.80
1104 R 9.10E+01 1.37291 1.5607E-08 10.2749 2.19E-07 8.736E+04 0.00 55.46
1105 R 8.61E+01 1.37164 1.4811E-08 10.2783 2.07E-07 8.597E+04 0.00 55.07
1106 R 8.01E+01 1.37106 1.3914E-08 10.2829 1.92E-07 8.435E+04 0.00 54.60
1107 R 7.41E+01 1.37119 1.3184E-08 10.2877 1.77E-07 8.299E+04 0.00 54.22
1108 R 7.04E+01 1.37161 1.2631E-08 10.2907 1.68E-07 8.192E+04 0.00 53.91
1109 R 6.68E+01 1.37234 1.2022E-08 10.2938 1.59E-07 8.072E+04 0.00 53.57
1110 R 6.26E+01 1.37335 1.1354E-08 10.2977 1.48E-07 7.936E+04 0.00 53.18
1111 R 5.83E+01 1.37444 1.0789E-08 10.3018 1.37E-07 7.817E+04 0.00 52.85
1112 R 5.55E+01 1.37559 1.0338E-08 10.3047 1.30E-07 7.720E+04 0.00 52.57
1113 R 5.27E+01 1.37700 9.8872E-09 10.3076 1.24E-07 7.620E+04 0.00 52.29
1114 R 5.00E+01 1.37874 9.4310E-09 10.3107 1.17E-07 7.516E+04 0.00 51.99
1115 R 4.72E+01 1.38088 8.9689E-09 10.3139 1.10E-07 7.407E+04 0.00 51.69
1116 R 4.44E+01 1.38319 8.5480E-09 10.3173 1.03E-07 7.305E+04 0.00 51.40
1117 R 4.22E+01 1.38562 8.1697E-09 10.3201 9.76E-08 7.211E+04 0.00 51.13
1118 R 4.00E+01 1.38845 7.7869E-09 10.3230 9.22E-08 7.112E+04 0.00 50.85
1119 R 3.78E+01 1.39177 7.3995E-09 10.3261 8.67E-08 7.010E+04 0.00 50.56
1120 R 3.56E+01 1.39617 6.9626E-09 10.3293 8.12E-08 6.890E+04 0.00 50.23
1121 R 3.29E+01 1.40204 6.4740E-09 10.3336 7.45E-08 6.750E+04 0.00 49.83
1122 R 3.02E+01 1.40739 6.0948E-09 10.3381 6.79E-08 6.636E+04 0.00 49.51
1123 R 2.88E+01 1.41162 5.8291E-09 10.3406 6.43E-08 6.554E+04 0.00 49.27
1124 R 2.73E+01 1.41634 5.5609E-09 10.3433 6.08E-08 6.468E+04 0.00 49.03
1125 R 2.59E+01 1.42226 5.2595E-09 10.3461 5.72E-08 6.368E+04 0.00 48.74
1126 R 2.41E+01 1.42985 4.9241E-09 10.3497 5.29E-08 6.252E+04 0.00 48.41
1127 R 2.23E+01 1.43837 4.6133E-09 10.3536 4.86E-08 6.140E+04 0.00 48.09
1128 R 2.08E+01 1.44656 4.3587E-09 10.3570 4.50E-08 6.043E+04 0.00 47.81
1129 R 1.96E+01 1.45480 4.1322E-09 10.3598 4.22E-08 5.954E+04 0.00 47.54
1130 R 1.84E+01 1.46274 3.9346E-09 10.3628 3.93E-08 5.873E+04 0.00 47.30
1131 R 1.76E+01 1.47005 3.7666E-09 10.3651 3.73E-08 5.802E+04 0.00 47.08
1132 R 1.67E+01 1.47948 3.5652E-09 10.3675 3.52E-08 5.712E+04 0.00 46.80
1133 R 1.55E+01 1.48989 3.3581E-09 10.3710 3.24E-08 5.617E+04 0.00 46.50
1134 R 1.45E+01 1.50018 3.1779E-09 10.3738 3.02E-08 5.529E+04 0.00 46.22
1135 R 1.36E+01 1.51024 3.0255E-09 10.3767 2.80E-08 5.452E+04 0.00 45.96
1136 R 1.29E+01 1.51938 2.9012E-09 10.3789 2.66E-08 5.386E+04 0.00 45.74
1137 R 1.23E+01 1.52942 2.7765E-09 10.3811 2.51E-08 5.318E+04 0.00 45.51
1138 R 1.16E+01 1.54073 2.6471E-09 10.3834 2.36E-08 5.244E+04 0.00 45.24
1139 R 1.09E+01 1.55335 2.5130E-09 10.3860 2.20E-08 5.164E+04 0.00 44.94
1140 R 1.02E+01 1.56677 2.3784E-09 10.3887 2.05E-08 5.079E+04 0.00 44.61
1141 R 9.50E+00 1.58081 2.2433E-09 10.3916 1.89E-08 4.988E+04 0.00 44.25
1142 R 8.78E+00 1.59453 2.1289E-09 10.3946 1.73E-08 4.908E+04 0.00 43.91
1143 R 8.28E+00 1.60744 2.0356E-09 10.3968 1.62E-08 4.838E+04 0.00 43.60
1144 R 7.77E+00 1.62179 1.9422E-09 10.3991 1.51E-08 4.765E+04 0.00 43.25
1145 R 7.26E+00 1.63733 1.8489E-09 10.4016 1.41E-08 4.688E+04 0.00 42.87
1146 R 6.75E+00 1.65130 1.7685E-09 10.4041 1.30E-08 4.618E+04 0.00 42.50
1147 R 6.37E+00 1.66300 1.7008E-09 10.4060 1.22E-08 4.555E+04 0.00 42.15
1148 R 5.99E+00 1.67593 1.6205E-09 10.4080 1.14E-08 4.477E+04 0.00 41.69
1149 C 5.46E+00 1.68633 1.5492E-09 10.4109 1.03E-08 4.404E+04 0.07 41.23
1150 C 5.18E+00 1.69348 1.4995E-09 10.4125 9.75E-09 4.350E+04 0.07 40.87
1151 C 4.89E+00 1.70032 1.4498E-09 10.4142 9.17E-09 4.294E+04 0.07 40.47
1152 C 4.61E+00 1.70654 1.4000E-09 10.4159 8.59E-09 4.236E+04 0.08 40.03
1153 C 4.32E+00 1.71194 1.3475E-09 10.4177 8.02E-09 4.171E+04 0.08 39.52
1154 C 4.00E+00 1.71555 1.2921E-09 10.4198 7.38E-09 4.100E+04 0.08 38.92
1155 C 3.68E+00 1.71615 1.2488E-09 10.4219 6.74E-09 4.042E+04 0.09 38.41
1156 C 3.51E+00 1.71368 1.2020E-09 10.4231 6.38E-09 3.977E+04 0.09 37.80
1157 C 3.16E+00 1.70637 1.1546E-09 10.4257 5.67E-09 3.909E+04 0.09 37.14
1158 C 2.98E+00 1.69773 1.1208E-09 10.4270 5.31E-09 3.859E+04 0.10 36.66
1159 C 2.79E+00 1.68575 1.0858E-09 10.4285 4.92E-09 3.806E+04 0.09 36.16
1160 C 2.61E+00 1.67097 1.0512E-09 10.4300 4.55E-09 3.754E+04 0.13 35.67
1161 C 2.43E+00 1.65364 1.0168E-09 10.4315 4.18E-09 3.701E+04 0.12 35.21
1162 C 2.27E+00 1.63409 9.8245E-10 10.4330 3.84E-09 3.649E+04 0.11 34.79
1163 C 2.11E+00 1.61186 9.4679E-10 10.4345 3.49E-09 3.596E+04 0.13 34.41
1164 C 1.95E+00 1.59444 9.2036E-10 10.4361 3.15E-09 3.556E+04 0.14 34.16
1165 C 1.88E+00 1.58330 9.0408E-10 10.4367 3.00E-09 3.532E+04 0.16 34.02
1166 C 1.81E+00 1.56475 8.7896E-10 10.4374 2.85E-09 3.496E+04 0.16 33.84
1167 C 1.68E+00 1.54394 8.5291E-10 10.4389 2.56E-09 3.458E+04 0.16 33.68
1168 C 1.61E+00 1.52883 8.3498E-10 10.4396 2.41E-09 3.433E+04 0.17 33.59
1169 C 1.55E+00 1.51274 8.1655E-10 10.4404 2.26E-09 3.408E+04 0.19 33.52
1170 C 1.48E+00 1.48977 7.9113E-10 10.4412 2.11E-09 3.373E+04 0.19 33.43
1171 R 1.38E+00 1.46832 7.6805E-10 10.4425 1.87E-09 3.342E+04 0.00 33.38
1172 R 1.34E+00 1.44895 7.4758E-10 10.4431 1.77E-09 3.316E+04 0.00 33.34
1173 R 1.25E+00 1.42850 7.2624E-10 10.4442 1.57E-09 3.289E+04 0.00 33.32
1174 R 1.21E+00 1.41409 7.1132E-10 10.4448 1.47E-09 3.270E+04 0.00 33.31
1175 R 1.17E+00 1.39428 6.9089E-10 10.4454 1.37E-09 3.245E+04 0.00 33.31
1176 R 1.10E+00 1.36990 6.6582E-10 10.4465 1.20E-09 3.215E+04 0.00 33.32
1177 R 1.05E+00 1.34597 6.4121E-10 10.4474 1.05E-09 3.187E+04 0.00 33.35
1178 R 9.87E-01 1.32442 6.1900E-10 10.4485 8.97E-10 3.162E+04 0.00 33.38
1179 R 9.44E-01 1.30661 6.0086E-10 10.4493 7.84E-10 3.141E+04 0.00 33.42
1180 R 9.07E-01 1.28575 5.8007E-10 10.4500 6.86E-10 3.119E+04 0.00 33.47
1181 R 8.57E-01 1.26672 5.6146E-10 10.4510 5.48E-10 3.099E+04 0.00 33.52
1182 R 8.32E-01 1.25106 5.4637E-10 10.4515 4.81E-10 3.083E+04 0.00 33.57
1183 R 7.98E-01 1.23145 5.2773E-10 10.4522 3.85E-10 3.064E+04 0.00 33.64
1184 R 7.63E-01 1.20815 5.0587E-10 10.4531 2.84E-10 3.042E+04 0.00 33.74
1185 R 7.21E-01 1.18955 4.8863E-10 10.4541 1.60E-10 3.025E+04 0.00 33.84
1186 R 7.04E-01 1.17182 4.7235E-10 10.4545 1.11E-10 3.010E+04 0.00 33.93
1187 R 6.67E-01 1.15923 4.6089E-10 10.4556 0.00E+00 2.999E+04 0.00 34.01

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