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 liquid H2O ================================================================================ Byte-by-byte Description of file: H2O_EOS_39_liquid_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 -------------------------------------------------------------------------------- -------------------------------------------------------------------------------- 1.00000 29.915071 1000 1.797 0.038 15.053 0.068 1.00000 29.915071 1500 2.766 0.037 18.809 0.087 1.00000 29.915071 2000 3.442 0.039 20.838 0.088 1.00000 29.915071 2500 4.039 0.063 22.693 0.057 1.00000 29.915071 3000 4.672 0.058 23.998 0.071 1.00000 29.915071 3500 5.362 0.063 25.136 0.089 1.00000 29.915071 4000 5.597 0.084 26.475 0.120 1.00000 29.915071 4500 6.077 0.071 27.681 0.119 1.00000 29.915071 5000 6.774 0.076 28.797 0.118 1.00000 29.915071 5500 7.255 0.089 29.893 0.107 1.00000 29.915071 6000 7.959 0.045 30.882 0.089 1.00000 29.915071 7000 9.136 0.083 32.874 0.072 1.00000 29.915071 8000 10.396 0.130 34.326 0.058 1.00000 29.915071 10000 13.752 0.098 36.604 0.050 1.00000 29.915071 12000 17.440 0.070 38.271 0.041 1.25000 23.932056 1000 4.406 0.028 14.257 0.078 1.25000 23.932056 1500 5.691 0.056 17.783 0.079 1.25000 23.932056 2000 6.771 0.083 19.804 0.066 1.25000 23.932056 2500 7.681 0.088 21.876 0.098 1.25000 23.932056 3000 8.669 0.088 23.182 0.087 1.25000 23.932056 3500 9.259 0.096 24.474 0.066 1.25000 23.932056 4000 9.816 0.132 25.886 0.078 1.25000 23.932056 4500 10.530 0.158 26.979 0.085 1.25000 23.932056 5000 11.417 0.130 28.150 0.078 1.25000 23.932056 5500 12.514 0.135 29.105 0.072 1.25000 23.932056 6000 13.144 0.086 30.418 0.043 1.50000 19.943379 1000 8.688 0.049 13.193 0.070 1.50000 19.943379 1500 10.320 0.077 16.977 0.073 1.50000 19.943379 2000 11.702 0.090 19.235 0.082 1.50000 19.943379 2500 13.090 0.093 21.311 0.080 1.50000 19.943379 3000 14.524 0.098 22.559 0.057 1.50000 19.943379 3500 15.579 0.152 23.943 0.060 1.50000 19.943379 4000 16.205 0.111 25.225 0.066 1.50000 19.943379 4500 16.949 0.147 26.528 0.067 1.50000 19.943379 5000 18.501 0.201 27.591 0.082 1.50000 19.943379 5500 19.648 0.189 28.732 0.085 1.50000 19.943379 6000 20.883 0.143 29.655 0.082 1.50000 19.943379 7000 23.676 0.139 31.379 0.061 1.50000 19.943379 8000 26.302 0.169 32.767 0.039 1.50000 19.943379 10000 32.741 0.127 34.906 0.021 1.50000 19.943379 12000 39.112 0.163 36.440 0.016 1.75000 17.094325 1000 14.321 0.152 12.092 0.079 1.75000 17.094325 1500 17.597 0.050 16.088 0.060 1.75000 17.094325 2000 19.769 0.132 18.616 0.049 1.75000 17.094325 2500 21.398 0.163 20.569 0.057 1.75000 17.094325 3000 22.880 0.071 22.035 0.024 1.75000 17.094325 3500 23.828 0.192 23.465 0.065 1.75000 17.094325 4000 25.855 0.271 24.798 0.055 1.75000 17.094325 4500 27.307 0.167 25.925 0.079 1.75000 17.094325 5000 29.063 0.307 27.093 0.075 1.75000 17.094325 5500 30.492 0.278 28.104 0.072 1.75000 17.094325 6000 32.291 0.309 29.108 0.053 1.75000 17.094325 7000 35.339 0.282 30.801 0.052 1.75000 17.094325 8000 39.606 0.187 32.097 0.048 2.00000 14.957535 1000 21.243 0.232 10.061 0.111 2.00000 14.957535 1500 26.337 0.107 15.019 0.076 2.00000 14.957535 2000 30.368 0.128 17.941 0.054 2.00000 14.957535 2500 32.492 0.149 20.016 0.047 2.00000 14.957535 3000 34.309 0.150 21.579 0.038 2.00000 14.957535 3500 37.157 0.140 23.043 0.071 2.00000 14.957535 4000 38.656 0.187 24.200 0.056 2.00000 14.957535 4500 41.021 0.184 25.508 0.040 2.00000 14.957535 5000 42.835 0.251 26.436 0.064 2.00000 14.957535 5500 45.011 0.248 27.482 0.059 2.00000 14.957535 6000 47.072 0.241 28.457 0.046 2.00000 14.957535 7000 52.083 0.275 30.082 0.044 2.00000 14.957535 8000 56.606 0.254 31.505 0.034 2.00000 14.957535 10000 65.387 0.256 33.488 0.028 2.00000 14.957535 12000 75.661 0.212 35.022 0.018 2.25000 13.295587 3000 50.717 0.222 21.016 0.033 2.25000 13.295587 3500 53.159 0.145 22.359 0.037 2.25000 13.295587 4000 56.326 0.256 23.715 0.053 2.25000 13.295587 4500 57.794 0.112 24.939 0.032 2.25000 13.295587 5000 61.029 0.210 25.971 0.038 2.25000 13.295587 5500 63.687 0.193 26.975 0.042 2.25000 13.295587 6000 66.150 0.171 27.884 0.030 2.50000 11.966027 3500 73.859 0.346 21.858 0.064 2.50000 11.966027 4000 77.134 0.256 23.139 0.050 2.50000 11.966027 4500 80.372 0.184 24.449 0.033 2.50000 11.966027 5000 83.566 0.239 25.441 0.040 2.50000 11.966027 5500 86.444 0.188 26.419 0.034 2.50000 11.966027 6000 90.068 0.226 27.344 0.030 2.50000 11.966027 7000 96.702 0.289 28.924 0.054 2.50000 11.966027 8000 102.721 0.329 30.239 0.025 2.50000 11.966027 10000 116.446 0.358 32.263 0.033 2.50000 11.966027 12000 130.079 0.388 33.769 0.022 2.75000 10.878208 4500 106.804 0.407 23.835 0.072 2.75000 10.878208 5000 110.525 0.172 24.876 0.029 2.75000 10.878208 5500 114.592 0.287 25.902 0.033 2.75000 10.878208 6000 118.387 0.219 26.780 0.032 2.75000 10.878208 7000 126.561 0.285 28.370 0.039 3.00000 9.971690 5500 148.407 0.189 25.358 0.029 3.00000 9.971690 6000 152.347 0.234 26.249 0.032 3.00000 9.971690 7000 161.853 0.431 27.870 0.045 3.00000 9.971690 8000 170.744 0.252 29.161 0.033 3.00000 9.971690 10000 186.940 0.325 31.118 0.027 3.00000 9.971690 12000 204.482 0.366 32.674 0.028 3.50000 8.547162 6000 234.136 0.719 25.011 0.058 3.50000 8.547162 7000 247.238 0.405 26.762 0.041 3.50000 8.547162 8000 258.394 0.402 28.073 0.041 3.50000 8.547162 10000 279.705 0.627 30.140 0.045 3.50000 8.547162 12000 300.710 0.302 31.768 0.023 4.00000 7.478767 7000 356.638 0.338 25.848 0.035 4.00000 7.478767 8000 369.116 0.610 27.166 0.046 4.00000 7.478767 10000 394.530 0.580 29.267 0.040 4.00000 7.478767 12000 418.655 0.452 30.873 0.033 4.50000 6.647794 8000 504.717 0.517 26.405 0.047 4.50000 6.647794 10000 534.187 0.365 28.554 0.035 4.50000 6.647794 12000 560.930 0.394 30.103 0.019 5.00000 5.983015 10000 696.113 0.319 27.743 0.031 5.00000 5.983015 12000 727.779 0.502 29.403 0.027 6.00000 4.985846 10000 1093.692 0.703 26.476 0.046 6.00000 4.985846 12000 1132.167 0.602 28.213 0.038 7.00000 4.273581 12000 1635.525 0.736 27.100 0.033