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Table B.5

Mass radius relation for isothermal spheres with 50 wt.% H2O, 33.75 wt.% MgSiO3 and 16.25 wt.% Fe.

Tsurf 300 K 500 K
Mass [M⊕ ] RadiusA [R⊕ ] RadiusZ [R⊕ ] δR [%] RadiusA [R⊕] RadiusZ [R⊕] δR [%]
0.50 1.028 1.018 −1.01 1.117 1.118 0.09
1.00 1.247 1.241 −0.49 1.312 1.314 0.12
1.50 1.389 1.387 −0.16 1.444 1.448 0.30
2.00 1.499 1.502 0.21 1.546 1.553 0.43
2.50 1.589 1.590 0.06 1.632 1.635 0.19
3.00 1.667 1.673 0.37 1.706 1.717 0.65
3.50 1.735 1.742 0.43 1.771 1.780 0.47
4.00 1.795 1.805 0.54 1.830 1.842 0.66
4.50 1.851 1.860 0.50 1.883 1.894 0.58
5.00 1.901 1.911 0.55 1.932 1.946 0.73
6.00 1.990 2.002 0.59 2.019 2.023 0.22
7.00 2.069 2.081 0.60 2.095 2.101 0.27
8.00 2.138 2.152 0.64 2.163 2.178 0.69
9.00 2.201 2.213 0.54 2.224 2.236 0.53
10.0 2.258 2.270 0.53 2.280 2.294 0.62
12.0 2.357 2.370 0.56 2.377 2.393 0.66
14.0 2.441 2.457 0.68 2.459 2.473 0.55
16.0 2.512 2.535 0.90 2.530 2.553 0.90
18.0 2.576 2.601 0.96 2.593 2.616 0.89
20.0 2.634 2.662 1.08 2.650 2.679 1.09
Tsurf 700 K 1000 K
Mass [M⊕ ] RadiusA [R⊕ ] RadiusZ [R⊕ ] δR [%] RadiusA [R⊕] RadiusZ [R⊕] δR [%]
0.50 1.219 1.232 1.04 1.387 1.397 0.73
1.00 1.384 1.392 0.57 1.498 1.511 0.86
1.50 1.502 1.512 0.64 1.594 1.612 1.10
2.00 1.597 1.609 0.73 1.676 1.696 1.18
2.50 1.678 1.686 0.47 1.748 1.764 0.93
3.00 1.748 1.762 0.82 1.811 1.832 1.13
3.50 1.810 1.822 0.64 1.869 1.887 0.97
4.00 1.866 1.881 0.81 1.921 1.942 1.08
4.50 1.917 1.931 0.72 1.969 1.988 0.96
5.00 1.964 1.981 0.85 2.013 2.034 1.02
6.00 2.049 2.056 0.34 2.093 2.105 0.56
7.00 2.123 2.130 0.36 2.164 2.176 0.56
8.00 2.189 2.205 0.74 2.227 2.247 0.88
9.00 2.249 2.262 0.60 2.285 2.302 0.73
10.0 2.303 2.319 0.70 2.338 2.356 0.79
12.0 2.398 2.415 0.70 2.430 2.448 0.76
14.0 2.479 2.493 0.57 2.508 2.524 0.63
16.0 2.549 2.571 0.88 2.576 2.600 0.94
18.0 2.611 2.634 0.87 2.636 2.660 0.92
20.0 2.666 2.696 1.12 2.691 2.721 1.12

Notes. RadiusA was calculated using AQUA EoS for the H2O, the EoS from Sotin et al. (2007) for the MgSiO3, and the EoS from Hakim et al. (2018) for Fe. RadiusZ is based on the results from Zeng et al. (2019). The surface pressure is PSurf = 1 mbar.

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