Title: Ab Initio Entropy Calculations of Water Predict the Interiors of Uranus and Neptune to be 15-30 Percent Colder than Previous Models Author: Burkhard Militzer Table: Equation of state of superionic H2O ================================================================================ Byte-by-byte Description of file: H2O_EOS_40_superionic_mrt.txt -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 8 F8.5 g/cm^3 rho Density 14- 22 F9.6 A^3 V Volume per H2O unit in Angstroem^3 units 28- 32 F5.0 K T Temperature 38- 45 F8.3 GPa P Pressure 49- 54 F5.3 GPa Pe One sigma error bar of pressure 58- 63 F6.3 kB S Entropy per H2O unit in Boltzmann units 66- 70 F5.3 kB Se One sigma error bar of entropy -------------------------------------------------------------------------------- -------------------------------------------------------------------------------- 2.50000 11.966027 1000 51.390 0.165 8.340 0.114 2.50000 11.966027 1500 55.911 0.124 13.098 0.052 2.50000 11.966027 2000 59.175 0.097 15.977 0.054 2.50000 11.966027 2500 62.148 0.118 17.976 0.032 2.50000 11.966027 3000 65.335 0.158 19.724 0.045 2.75000 10.878208 1000 70.925 0.148 7.536 0.065 2.75000 10.878208 1500 77.355 0.141 12.494 0.055 2.75000 10.878208 2000 81.390 0.170 15.359 0.030 2.75000 10.878208 2500 84.702 0.190 17.427 0.027 2.75000 10.878208 3000 88.075 0.208 19.095 0.032 2.75000 10.878208 4000 97.071 0.387 21.784 0.050 3.00000 9.971690 1500 103.522 0.133 11.757 0.055 3.00000 9.971690 2000 108.961 0.098 14.845 0.023 3.00000 9.971690 2500 112.986 0.153 16.961 0.025 3.00000 9.971690 3000 117.413 0.111 18.607 0.019 3.00000 9.971690 3500 121.482 0.180 19.936 0.023 3.00000 9.971690 4000 125.538 0.134 21.106 0.021 3.50000 8.547162 2000 181.669 0.135 13.785 0.037 3.50000 8.547162 2500 186.988 0.163 16.003 0.024 3.50000 8.547162 3000 192.026 0.134 17.645 0.018 3.50000 8.547162 3500 197.127 0.159 18.995 0.018 3.50000 8.547162 4000 201.910 0.196 20.139 0.015 3.50000 8.547162 4500 206.890 0.245 21.160 0.019 3.50000 8.547162 5000 212.393 0.136 22.093 0.022 3.50000 8.547162 5500 217.886 0.330 22.973 0.026 4.00000 7.478767 2000 280.022 0.107 12.723 0.060 4.00000 7.478767 2500 286.230 0.102 15.118 0.023 4.00000 7.478767 3000 292.089 0.141 16.832 0.018 4.00000 7.478767 3500 297.495 0.138 18.178 0.013 4.00000 7.478767 4000 303.483 0.138 19.332 0.016 4.00000 7.478767 4500 309.130 0.203 20.314 0.017 4.00000 7.478767 5000 315.130 0.278 21.225 0.023 4.00000 7.478767 5500 321.113 0.295 22.051 0.024 4.00000 7.478767 6000 327.403 0.325 22.847 0.019 4.50000 6.647794 2000 405.040 0.121 11.907 0.053 4.50000 6.647794 2500 411.247 0.124 14.397 0.024 4.50000 6.647794 3000 417.470 0.104 16.073 0.017 4.50000 6.647794 3500 424.017 0.180 17.437 0.017 4.50000 6.647794 4000 430.589 0.150 18.578 0.014 4.50000 6.647794 4500 436.591 0.218 19.571 0.018 4.50000 6.647794 5000 443.333 0.177 20.447 0.012 4.50000 6.647794 5500 449.771 0.236 21.281 0.015 4.50000 6.647794 6000 456.536 0.214 22.015 0.018 4.50000 6.647794 7000 470.217 0.596 23.416 0.051 5.00000 5.983015 2000 555.922 0.146 11.438 0.042 5.00000 5.983015 2500 561.840 0.090 13.799 0.016 5.00000 5.983015 3000 568.830 0.118 15.468 0.009 5.00000 5.983015 3500 575.701 0.173 16.809 0.016 5.00000 5.983015 4000 582.566 0.159 17.937 0.014 5.00000 5.983015 4500 589.450 0.138 18.904 0.010 5.00000 5.983015 5000 596.616 0.117 19.787 0.015 5.00000 5.983015 5500 604.014 0.153 20.591 0.017 5.00000 5.983015 6000 611.438 0.222 21.344 0.014 5.00000 5.983015 7000 626.630 0.239 22.721 0.016 6.00000 4.985846 2000 932.501 0.181 10.637 0.020 6.00000 4.985846 2500 939.775 0.101 12.767 0.016 6.00000 4.985846 3000 947.843 0.090 14.376 0.012 6.00000 4.985846 3500 955.907 0.226 15.704 0.012 6.00000 4.985846 4000 964.189 0.117 16.840 0.010 6.00000 4.985846 4500 972.509 0.148 17.813 0.013 6.00000 4.985846 5000 980.785 0.227 18.691 0.012 6.00000 4.985846 5500 988.884 0.103 19.473 0.013 6.00000 4.985846 6000 997.803 0.175 20.217 0.011 6.00000 4.985846 7000 1014.377 0.222 21.503 0.016 6.00000 4.985846 8000 1032.061 0.247 22.677 0.013 7.00000 4.273581 2500 1418.956 0.126 11.849 0.012 7.00000 4.273581 3000 1428.812 0.108 13.461 0.009 7.00000 4.273581 3500 1438.473 0.153 14.778 0.012 7.00000 4.273581 4000 1448.204 0.168 15.915 0.008 7.00000 4.273581 4500 1457.905 0.103 16.899 0.007 7.00000 4.273581 5000 1467.145 0.151 17.765 0.009 7.00000 4.273581 5500 1477.195 0.272 18.555 0.009 7.00000 4.273581 6000 1486.561 0.268 19.274 0.010 7.00000 4.273581 7000 1506.104 0.242 20.562 0.012 7.00000 4.273581 8000 1526.194 0.219 21.720 0.015 7.00000 4.273581 10000 1567.221 0.231 23.710 0.018