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Table A.1

Properties of selected models.

Z = 0.02, Basic models (no element diffusion nor rotation)

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.171 0 0.451 0.827 3.02 1500 5820
0.180 0 0.767 0.867 3.01 1000 5630
0.180 0 0.779 0.869 3.01 993 5620
0.184 0 0.961 0.887 3.05 846 4850
0.191 0 1.38 0.952 3.01 672 4860
0.202 0 2.14 1.13 2.93 430 4060
0.205 0 2.34 1.19 2.91 392 3900
0.206 0 2.43 1.23 2.90 377 3850
0.208 0 2.53 1.26 2.88 364 3760
0.209 0 2.63 1.30 2.86 352 3690
0.210 0 2.73 1.34 2.83 342 3630
0.211 0 2.71 0.817 2.81 174 3430
0.213 3 2.94 0.808 1.72 274 2530
0.213 3 2.94 0.808 1.79 268 2570
0.214 3 3.05 0.804 1.68 261 2490
0.216 3 3.28 0.794 1.64 237 2410
0.216 3 3.40 0.790 1.59 221 2350
0.219 3 3.76 0.777 1.55 200 2280
0.233 2 6.89 0.692 1.50 97.1 2090
0.242 2 9.81 0.646 1.16 107 1840
0.250 2 12.8 0.614 0.905 153 1570
0.256 1 16.0 0.587 1.26 44.6 1810
0.261 1 19.0 0.566 1.22 46.1 1800
0.265 1 21.9 0.549 1.13 48.0 1720
0.268 1 24.5 0.534 1.05 50.1 1660
0.271 1 26.9 0.523 0.996 52.2 1610
0.274 1 29.3 0.513 0.945 54.3 1550
0.276 1 31.5 0.504 0.889 56.3 1490
0.278 1 33.7 0.496 0.868 58.2 1460
0.280 1 35.8 0.489 0.835 60.1 1410
0.282 1 37.8 0.482 0.805 61.9 1360
0.283 1 39.8 0.476 0.779 63.7 1320
0.285 1 41.7 0.470 0.755 65.4 1270
0.287 1 45.5 0.460 0.670 68.9 1070
0.305 1 75.6 0.404 0.451 105 477
0.319 0 111 0.365 0.965 1.76 1310
0.343 0 202 0.307 0.775 0.838 1130
0.378 0 414 0.255 0.581 0.351 907

Z = 0.02, Diffusion

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.167 24 0.401 0.823 0.951 2230 2610
0.168 26 0.431 0.843 1.12 2130 2650
0.172 12 0.541 0.885 0.818 1940 2190
0.174 10 0.623 0.904 0.557 2050 2080
0.186 6 1.08 0.948 0.899 1160 1500
0.191 6 1.35 0.963 0.674 1020 1130
0.195 6 1.63 0.984 0.563 907 945
0.202 5 2.14 1.05 0.689 636 755
0.210 4 2.72 0.811 0.930 316 638
0.215 4 3.40 0.775 0.806 264 495
0.218 5 3.89 0.753 0.662 256 392
0.230 3 6.45 0.672 0.753 134 387
0.235 3 7.79 0.644 0.606 129 299
0.239 4 9.16 0.620 0.540 121 263
0.243 3 10.6 0.600 0.448 123 234
0.246 4 12.0 0.582 0.390 128 218
0.260 3 19.0 0.526 0.191 184 205
0.277 3 32.6 0.467 0.365 54.9 242
0.286 3 43.2 0.441 0.316 52.1 246
0.298 2 60.0 0.409 0.246 50.7 242
0.317 1 97.5 0.363 0.487 11.5 328
0.333 2 157 0.331 0.416 9.96 322
0.344 2 201 0.307 0.366 9.17 308
0.393 2 532 0.242 0.211 7.03 298

Z = 0.02, Diffusion+rotation

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.167 23 0.412 0.848 1.07 2340 2770
0.175 10 0.628 0.929 0.794 1910 2170
0.182 8 0.886 0.948 0.725 1430 1600
0.185 7 1.03 0.954 0.821 1220 1500
0.190 6 1.33 0.963 0.956 976 1350
0.198 6 1.92 0.992 0.981 666 1030
0.205 5 2.44 1.05 0.691 558 684
0.212 4 3.03 0.775 0.801 309 531
0.215 4 3.51 0.739 0.755 266 460
0.217 5 3.76 0.723 0.659 265 398
0.220 5 4.27 0.692 0.572 253 339
0.221 4 4.53 0.678 0.557 234 319
0.226 4 5.61 0.627 0.336 288 303
0.232 3 7.01 0.572 0.719 119 361
0.236 3 8.44 0.539 0.563 117 272
0.241 3 9.88 0.517 0.476 116 234
0.248 3 12.8 0.485 0.346 127 204
0.261 3 20.0 0.438 0.578 51.1 299
0.266 3 23.4 0.494 0.502 53.4 275
0.278 3 33.6 0.463 0.365 54.8 247
0.284 2 39.9 0.446 0.319 52.8 243
0.287 2 43.8 0.438 0.299 52.7 242
0.290 2 47.4 0.431 0.274 52.3 238
0.293 2 52.6 0.421 0.273 51.8 241
0.306 2 74.2 0.389 0.208 51.4 241
0.317 1 97.6 0.363 0.491 11.6 327
0.322 1 108 0.353 0.469 11.1 326

Z = 0.01, Basic models (no element diffusion nor rotation)

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.176 0 0.676 0.981 3.16 869 0.00
0.192 0 1.58 0.937 3.07 371 2200
0.205 0 2.76 0.944 3.08 277 1120
0.217 0 4.05 1.16 3.06 188 3310
0.222 4 4.56 1.32 1.77 281 2460
0.228 3 5.05 1.51 1.66 234 2290
0.230 3 5.19 0.804 1.65 125 2120
0.237 2 6.71 0.756 1.33 122 1920
0.243 2 8.26 0.721 1.60 70.3 2020
0.248 2 9.82 0.694 1.43 71.6 1930
0.256 1 12.7 0.654 1.16 89.2 1740
0.261 1 15.2 0.627 1.55 33.9 1890
0.269 1 19.7 0.593 1.32 34.7 1740
0.273 1 21.7 0.581 1.26 35.6 1720
0.284 1 30.5 0.539 1.03 41.2 1540
0.297 1 44.2 0.494 0.787 51.0 1320
0.305 1 55.5 0.467 0.669 59.6 1110
0.375 0 277 0.310 0.698 0.487 1010

Z = 0.01, Diffusion

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.165 0 0.340 0.904 4.45 1580 0.00
0.170 7 0.458 0.946 0.807 2380 2750
0.171 5 0.501 0.950 0.967 2320 2780
0.175 5 0.651 1.02 0.980 1910 2350
0.181 7 0.937 1.05 0.589 1500 1590
0.203 6 2.97 0.927 0.804 487 731
0.212 5 4.26 1.01 0.707 390 572
0.223 5 5.53 1.30 0.448 405 447
0.232 4 6.74 0.784 0.593 183 339
0.238 4 8.33 0.745 0.411 201 268
0.240 2 8.99 0.729 1.23 130 1810
0.243 3 9.98 0.712 0.808 94.8 415
0.248 3 11.6 0.685 0.654 95.9 335
0.252 3 13.2 0.664 0.561 97.2 293
0.255 4 14.7 0.646 0.475 102 261
0.260 3 17.4 0.617 0.371 114 232
0.265 3 19.9 0.596 0.299 127 219
0.271 3 24.2 0.566 0.658 47.1 342
0.274 2 26.2 0.555 0.572 47.6 311
0.279 3 29.9 0.536 0.534 48.5 301
0.283 2 33.2 0.522 0.474 49.2 283
0.286 2 36.4 0.510 0.425 49.6 268
0.291 2 42.0 0.491 0.377 50.3 260

Z = 0.01, Diffusion+rotation

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.182 7 1.01 1.04 0.873 1390 1740
0.183 6 1.09 1.04 0.898 1270 1620
0.187 7 1.34 1.04 0.946 1070 1460
0.192 7 1.72 1.02 0.957 823 1210
0.195 7 1.92 1.02 0.790 777 1020
0.197 6 2.14 0.983 0.995 615 1020
0.206 5 3.32 0.958 0.689 491 652
0.216 5 4.59 1.09 0.824 339 618
0.226 4 5.79 1.41 0.870 264 596
0.234 4 7.05 0.775 0.543 187 317
0.239 4 8.58 0.740 0.399 199 262
0.244 3 10.2 0.709 0.723 102 378
0.248 3 11.7 0.684 0.660 95.1 342
0.252 4 13.2 0.663 0.565 98.9 293
0.258 3 16.0 0.631 0.401 111 240
0.262 3 18.5 0.608 0.326 121 222
0.265 3 19.9 0.596 0.299 127 219
0.275 2 26.8 0.551 0.579 48.1 314
0.279 2 30.4 0.533 0.501 48.9 289
0.301 2 54.3 0.460 0.290 52.3 251
0.324 1 90.6 0.401 0.556 12.3 368

Z = 0.001, Basic models (no element diffusion nor rotation)

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.182 0 0.471 1.48 3.74 1100 2640
0.190 0 0.674 1.55 3.71 816 2860
0.207 0 1.45 1.58 3.64 387 3550
0.211 0 1.75 1.56 3.62 314 3410
0.228 0 3.49 1.44 3.44 142 2760
0.234 0 4.62 1.37 3.32 102 2610
0.238 0 5.38 1.32 3.25 85.5 2470
0.246 0 7.22 1.23 3.10 60.2 2310
0.252 3 8.90 1.17 1.85 88.9 1760
0.256 4 10.4 1.10 1.87 72.2 1720
0.260 4 11.8 1.05 1.63 73.2 1630
0.263 3 13.0 1.02 1.79 60.6 1690
0.266 3 14.0 0.999 1.97 61.7 1780
0.274 3 17.5 1.01 1.48 61.8 1540
0.282 3 20.0 1.16 1.27 65.5 1430
0.289 2 22.0 1.42 1.55 43.1 1510
0.302 2 26.9 0.861 1.11 45.5 1310
0.309 1 31.9 0.815 1.56 15.6 1450
0.328 1 49.1 0.708 1.16 16.6 1270
0.340 1 63.7 0.648 0.950 18.9 1150
0.350 1 76.9 0.607 0.810 21.4 1090
0.423 0 258 0.385 0.781 0.406 875

Z = 0.001, Diffusion

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.180 0 0.466 1.50 5.00 1280 0.00
0.183 5 0.582 1.58 4.86 1160 0.00
0.190 0 0.800 1.64 4.63 886 5900
0.196 0 1.05 1.67 4.44 692 5830
0.217 1 2.65 1.60 3.87 261 3920
0.230 4 4.59 1.46 1.21 289 805
0.239 6 6.61 1.35 0.840 227 589
0.245 5 8.54 1.27 0.958 155 580
0.250 2 10.3 1.20 0.674 168 451
0.254 2 11.9 1.15 0.651 153 429
0.264 2 16.7 1.01 0.668 122 412
0.268 1 18.5 0.985 0.518 149 360
0.271 1 19.9 0.986 0.462 153 341
0.280 3 23.4 1.11 0.756 77.6 438
0.314 1 41.4 0.785 0.339 76.9 282
0.322 3 49.7 0.734 0.676 28.1 452

Z = 0.001, Diffusion+rotation

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.179 0 0.477 1.54 5.30 1310 0.00
0.183 0 0.572 1.59 5.18 1140 0.00
0.190 0 0.783 1.65 4.86 891 2300
0.196 0 1.03 1.68 4.62 702 2230
0.216 0 2.59 1.59 4.02 270 4180
0.228 0 4.55 1.43 3.74 144 2800
0.237 4 6.58 1.32 1.18 233 0.00
0.244 1 8.49 1.23 0.646 246 496
0.250 5 10.2 1.18 0.986 138 582
0.254 5 11.7 1.16 0.803 132 487
0.260 5 14.4 1.07 0.808 109 479
0.275 1 21.1 1.03 0.443 144 326
0.287 1 25.0 1.35 0.489 102 332
0.296 2 27.3 0.910 0.725 50.4 435
0.303 1 32.3 0.858 0.558 58.0 351
0.314 1 41.5 0.785 0.341 78.9 284
0.322 1 49.7 0.734 0.644 28.3 428

Z = 0.0002, Basic models (no element diffusion nor rotation)

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.214 0 0.900 2.10 3.78 533 3550
0.227 0 1.61 2.10 3.74 318 2980
0.247 0 3.86 1.90 3.58 131 2350
0.260 0 6.21 1.74 3.42 76.6 2110
0.268 0 8.30 1.63 3.28 54.9 1940
0.274 0 10.1 1.56 3.17 43.9 1870
0.278 0 11.6 1.51 3.10 37.4 1810
0.282 0 12.8 1.47 3.03 33.2 1780
0.284 1 13.9 1.43 2.44 41.0 1750
0.287 3 14.9 1.40 1.98 47.6 1480
0.289 4 15.8 1.38 1.84 47.0 1410
0.290 4 16.6 1.36 1.83 45.6 1410
0.292 4 17.3 1.34 1.73 44.7 1370
0.293 3 18.0 1.32 1.96 36.1 1420
0.295 3 18.7 1.31 1.82 37.0 1370
0.297 3 19.9 1.28 1.60 39.2 1310
0.302 4 23.1 1.20 1.50 36.9 1270
0.305 3 25.0 1.16 1.90 25.6 1380
0.308 4 26.8 1.12 1.61 31.8 1310
0.313 3 30.2 1.07 1.65 27.2 1300
0.317 2 33.4 1.04 1.85 20.0 1340
0.320 2 34.9 1.05 1.74 20.4 1300
0.322 2 36.4 1.06 1.65 21.0 1280
0.327 2 39.1 1.12 1.47 23.2 1210
0.329 2 40.4 1.18 1.38 25.0 1180
0.336 2 43.1 1.39 1.13 33.4 1100
0.340 1 44.6 1.55 1.68 16.0 1250
0.342 1 45.5 1.06 1.62 11.6 1220
0.356 1 57.5 0.901 1.32 10.7 1110
0.441 0 232 0.514 0.940 0.552 829

Z = 0.0002, Diffusion

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.226 0 1.78 2.23 4.18 374 4060
0.234 0 2.54 2.17 4.01 265 3670
0.244 0 4.00 2.03 3.81 166 3240
0.246 0 4.40 2.00 3.77 149 3130
0.255 0 6.38 1.86 3.60 98.3 2830
0.263 0 8.56 1.74 3.43 69.8 2640
0.269 5 10.5 1.66 1.19 122 735
0.273 0 12.1 1.60 3.22 46.4 2420
0.277 4 13.5 1.55 0.919 110 569
0.282 4 15.9 1.48 0.944 89.1 573
0.286 5 17.8 1.43 0.952 76.1 574
0.289 5 19.4 1.39 0.678 100 441
0.290 5 20.1 1.38 0.644 103 420
0.291 4 20.8 1.36 1.03 59.3 639
0.297 4 24.3 1.28 1.04 48.8 664
0.300 4 26.3 1.24 0.899 53.4 570
0.311 5 34.8 1.08 0.657 66.5 412

Z = 0.0002, Diffusion+rotation

Mass (M) # Flashes Porb,det (d) MH,det (10-2 M) MH,Teff,max (10-3 M) Δtproto (Myr) tcool,L-2 (Myr)

0.212 0 0.902 2.17 4.79 621 0.00
0.236 0 2.90 2.13 4.11 229 3290
0.250 0 5.32 1.92 3.77 121 3100
0.259 0 7.67 1.76 3.61 80.9 2830
0.266 0 9.76 1.65 3.51 61.8 0.00
0.270 0 11.5 1.57 3.46 51.0 2590
0.274 0 13.1 1.52 3.40 44.5 2560
0.277 3 14.4 1.47 1.08 115 688
0.280 5 15.6 1.43 1.19 89.2 779
0.282 5 16.6 1.40 1.10 89.1 692
0.284 4 17.5 1.38 0.875 103 542
0.286 5 18.4 1.36 0.892 95.9 556
0.287 5 19.1 1.34 0.836 94.3 519
0.288 5 19.9 1.32 0.893 84.0 558
0.290 5 20.6 1.32 0.872 82.0 538
0.291 5 21.2 1.31 0.897 75.2 552
0.293 5 21.8 1.30 0.868 74.9 541

Notes. The quantities given are (Cols. 17): the (proto) WD mass, the number of hydrogen shell flashes, the orbital period and the hydrogen envelope mass at Roche-lobe detachment, the hydrogen envelope mass at maximum Teff, Δtproto, and the time interval (cooling timescale) from Roche-lobe detachment until the WD reaches a luminosity of log (L/L) = −2.

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