Abstract
The detailed tables of the 1962 He3 Scale of Temperatures are presented. The vapor pressure of He3 is tabulated in steps of 1 millidegree from 0.2 to 3.324 °K, the critical temperature. A table giving temperature, to 0.1 millidegree, as a function of pressure is included, as well as the temperature derivative of the vapor pressure.
1. Introduction
It is the purpose of this paper to present the detailed tables which comprise the 1962 He3 Scale of Temperatures. The reader is referred to the other publications in this series for discussions of the apparatus and input vapor pressure data [45, 46];3 the derivation of the scale [6, 66]; and the evaluation of the scale with gas isotherm and other data [7, 10].
2. Description of the Tables
In Tables 1a and lb, He3 vapor pressures are given as a function of the temperature, designated as T62. Tables la and lb contain entries every millidegree from 0.2 to 3.324 °K, the critical temperature. The pressure, in millimeters of mercury at 0 °C, and standard gravity (980.665 cm/sec.2), is given by the following equation, which defines the 1962 He3 Scale:
(1) |
Table 1a.
T62, °K | 0.000 | 0.001 | 0.002 | 0.003 | 0.004 | 0.005 | 0.006 | 0.007 | 0.008 | 0.009 |
---|---|---|---|---|---|---|---|---|---|---|
0.200 | 0.0121 | 0.0130 | 0.0140 | 0.0150 | 0.0161 | 0.0173 | 0.0185 | 0.0199 | 0.0213 | 0.0228 |
.210 | .0244 | .0260 | .0278 | .0297 | .0317 | .0338 | .0360 | .0384 | .0409 | .0435 |
.220 | .0463 | .0492 | .0523 | .0555 | .0590 | .0626 | .0664 | .0703 | .0745 | .0789 |
.230 | .0835 | .0884 | .0935 | .0988 | .1044 | .1103 | .1165 | .1229 | .1296 | .1367 |
.240 | .1441 | .1518 | .1599 | .1683 | .1772 | .1864 | .1960 | .2060 | .2165 | .2274 |
.250 | .2388 | .2506 | .2630 | .2759 | .2893 | .3032 | .3178 | .3329 | .3486 | .3649 |
.260 | .3819 | .3995 | .4179 | .4369 | .4566 | .4771 | .4984 | .5205 | .5434 | .5671 |
.270 | .5917 | .6172 | .6436 | .6710 | .6993 | .7286 | .7589 | .7903 | .8228 | .8564 |
.280 | .8911 | .9270 | .9642 | 1.0025 | 1.0421 | 1.0830 | 1.1253 | 1.1689 | 1.2139 | 1.2603 |
.290 | 1.3082 | 1.3576 | 1.4086 | 1.4612 | 1.5153 | 1.5712 | 1.6287 | 1.6880 | 1.7490 | 1.8119 |
.300 | 1.877 | 1.943 | 2.012 | 2.082 | 2.155 | 2.230 | 2.307 | 2.386 | 2.467 | 2.550 |
.310 | 2.636 | 2.724 | 2.815 | 2.908 | 3.004 | 3.102 | 3.203 | 3.306 | 3.413 | 3.522 |
.320 | 3.633 | 3.748 | 3.866 | 3.987 | 4.111 | 4.237 | 4.368 | 4.501 | 4.638 | 4.778 |
.330 | 4.921 | 5.069 | 5.219 | 5.373 | 5.531 | 5.693 | 5.859 | 6.028 | 6.202 | 6.379 |
.340 | 6.561 | 6.747 | 6.937 | 7.131 | 7.330 | 7.533 | 7.741 | 7.954 | 8.171 | 8.393 |
.350 | 8.619 | 8.851 | 9.088 | 9.330 | 9.577 | 9.829 | 10.087 | 10.350 | 10.619 | 10.893 |
.360 | 11.173 | 11.459 | 11.750 | 12.048 | 12.351 | 12.661 | 12.977 | 13.299 | 13.628 | 13.963 |
.370 | 14.304 | 14.653 | 15.008 | 15.370 | 15.739 | 16.115 | 16.498 | 16.889 | 17.287 | 17.692 |
.380 | 18.105 | 18.525 | 18.954 | 19.390 | 19.834 | 20.286 | 20.747 | 21.216 | 21.693 | 22.179 |
.390 | 22.673 | 23.176 | 23.688 | 24.209 | 24.739 | 25.278 | 25.826 | 26.384 | 26.952 | 27.529 |
.400 | 28.115 | 28.712 | 29.319 | 29.935 | 30.562 | 31.200 | 31.847 | 32.506 | 33.175 | 33.855 |
.410 | 34.546 | 35.248 | 35.961 | 36.686 | 37.422 | 38.169 | 38.929 | 39.700 | 40.483 | 41.278 |
.420 | 42.086 | 42.906 | 43.738 | 44.583 | 45.441 | 46.312 | 47.196 | 48.093 | 49.003 | 49.927 |
.430 | 50.864 | 51.815 | 52.780 | 53.759 | 54.753 | 55.760 | 56.782 | 57.818 | 58.870 | 59.936 |
.440 | 61.017 | 62.113 | 63.225 | 64.352 | 65.494 | 66.653 | 67.827 | 69.017 | 70.224 | 71.447 |
.450 | 72.686 | 73.942 | 75.215 | 76.505 | 77.812 | 79.136 | 80.478 | 81.837 | 83.214 | 84.609 |
.460 | 86.022 | 87.453 | 88.902 | 90.370 | 91.857 | 93.362 | 94.887 | 96.431 | 97.994 | 99.576 |
.470 | 101.179 | 102.801 | 104.443 | 106.105 | 107.787 | 109.490 | 111.214 | 112.959 | 114.724 | 116.511 |
.480 | 118.319 | 120.148 | 121.999 | 123.872 | 125.768 | 127.685 | 129.624 | 131.586 | 133.571 | 135.579 |
.490 | 137.610 | 139.664 | 141.741 | 143.842 | 145.967 | 148.115 | 150.288 | 152.485 | 154.707 | 156.953 |
.500 | 159.224 | 161.520 | 163.841 | 166.188 | 168.560 | 170.958 | 173.381 | 175.831 | 178.308 | 180.810 |
.510 | 183.339 | 185.896 | 188.479 | 191.089 | 193.727 | 196.392 | 199.085 | 201.806 | 204.556 | 207.333 |
.520 | 210.139 | 212.974 | 215.838 | 218.731 | 221.653 | 224.604 | 227.586 | 230.597 | 233.638 | 236.709 |
.530 | 239.811 | 242.943 | 246.107 | 249.301 | 252.526 | 255.783 | 259.072 | 262.392 | 265.745 | 269.129 |
.540 | 272.546 | 275.995 | 279.478 | 282.993 | 286.541 | 290.123 | 293.739 | 297.388 | 301.071 | 304.788 |
.550 | 308.540 | 312.326 | 316.147 | 320.003 | 323.895 | 327.821 | 331.784 | 335.782 | 339.816 | 343.886 |
.560 | 347.992 | 352.136 | 356.316 | 360.533 | 364.787 | 369.079 | 373.408 | 377.775 | 382.181 | 386.624 |
.570 | 391.106 | 395.627 | 400.187 | 404.785 | 409.423 | 414.100 | 418.818 | 423.575 | 428.372 | 433.209 |
.580 | 438.087 | 443.006 | 447.966 | 452.967 | 458.009 | 463.093 | 468.219 | 473.387 | 478.597 | 483.850 |
.590 | 489.145 | 494.483 | 499.864 | 505.288 | 510.756 | 516.268 | 521.824 | 527.423 | 533.068 | 538.756 |
.600 | 544.490 | 550.268 | 556.092 | 561.961 | 567.876 | 573.837 | 579.844 | 585.897 | 591.997 | 598.143 |
.610 | 604.337 | 610.577 | 616.865 | 623.201 | 629.584 | 636.016 | 642.496 | 649.024 | 655.601 | 662.227 |
.620 | 668.902 | 675.626 | 682.400 | 689.224 | 696.097 | 703.021 | 709.996 | 717.021 | 724.097 | 731.224 |
.630 | 738.402 | 745.633 | 752.914 | 760.248 | 767.634 | 775.073 | 782.564 | 790.108 | 797.705 | 805.355 |
.640 | 813.059 | 820.817 | 828.629 | 836.495 | 844.416 | 852.391 | 860.421 | 868.506 | 876.646 | 884.842 |
.650 | 893.094 | 901.402 | 909.766 | 918.186 | 926.663 | 935.197 | 943.789 | 952.437 | 961.143 | 969.907 |
.660 | 978.729 | 987.609 | 996.548 | 1005.545 | 1014.601 | 1023.717 | 1032.891 | 1042.126 | 1051.420 | 1060.774 |
.670 | 1070.189 | 1079.664 | 1089.199 | 1098.796 | 11G8.454 | 1118.173 | 1127.954 | 1137.796 | 1147.701 | 1157.668 |
.680 | 1167.698 | 1177.790 | 1187.946 | 1198.164 | 1208.446 | 1218.792 | 1229.202 | 1239.675 | 1250.213 | 1260.816 |
.690 | 1271.483 | 1282.216 | 1293.013 | 1303.877 | 1314.805 | 1325.800 | 1336.861 | 1347.989 | 1359.183 | 1370.443 |
.700 | 1381.771 | 1393.167 | 1404.629 | 1416.160 | 1427.758 | 1439.425 | 1451.160 | 1462.964 | 1474.836 | 1486.778 |
.710 | 1498.789 | 1510.870 | 1523.021 | 1535.241 | 1547.532 | 1559.894 | 1572.326 | 1584.829 | 1597.403 | 1610.048 |
.720 | 1622.766 | 1635.555 | 1648.416 | 1661.350 | 1674.356 | 1687.434 | 1700.586 | 1713.811 | 1727.110 | 1740.482 |
.730 | 1753.928 | 1767.449 | 1781.043 | 1794.713 | 1808.457 | 1822.276 | 1836.171 | 1850.141 | 1864.186 | 1878.308 |
.740 | 1892.506 | 1906.780 | 1921.132 | 1935.559 | 1950.065 | 1964.647 | 1979.307 | 1994.045 | 2008.861 | 2023.755 |
.750 | 2038.728 | 2053.779 | 2068.909 | 2084.119 | 2099.408 | 2114.776 | 2130.225 | 2145.753 | 2161.362 | 2177.051 |
.760 | 2192.821 | 2208.673 | 2224.605 | 2240.619 | 2256.715 | 2272.892 | 2289.152 | 2305.494 | 2321.919 | 2338.426 |
.770 | 2355.017 | 2371.691 | 2388.448 | 2405.289 | 2422.215 | 2439.224 | 2456.318 | 2473.496 | 2490.760 | 2508.108 |
.780 | 2525.542 | 2543.061 | 2560.667 | 2578.358 | 2596.136 | 2614.000 | 2631.951 | 2649.988 | 2668.113 | 2686.326 |
.790 | 2704.626 | 2723.014 | 2741.490 | 2760.054 | 2778.707 | 2797.448 | 2816.279 | 2835.199 | 2854.208 | 2873.307 |
.800 | 2892.496 | 2911.775 | 2931.145 | 2950.605 | 2970.156 | 2989.798 | 3009.531 | 3029.356 | 3049.272 | 3069.280 |
.810 | 3089.381 | 3109.574 | 3129.860 | 3150.239 | 3170.710 | 3191.275 | 3211.934 | 3232.686 | 3253.533 | 3274.74 |
.820 | 3295.508 | 3316.638 | 3337.863 | 3359.183 | 3380.598 | 3402.109 | 3423.716 | 3445.419 | 3467.217 | 3489.113 |
.830 | 3511.105 | 3533.194 | 3555.381 | 3577.665 | 3600.046 | 3622.525 | 3645.103 | 3667.779 | 3690.553 | 3713.426 |
.840 | 3736.398 | 3759.469 | 3782.640 | 3805.910 | 3829.281 | 3852.751 | 3876.322 | 3899.993 | 3923.765 | 3947.639 |
.850 | 3971.613 | 3995.689 | 4019.866 | 4044.146 | 4068.528 | 4093.012 | 4117.598 | 4142.288 | 4167.080 | 4191.976 |
.860 | 4216.976 | 4242.079 | 4267.286 | 4292.597 | 4318.012 | 4343.533 | 4369.158 | 4394.888 | 4420.723 | 4446.664 |
.870 | 4472.711 | 4498.864 | 4525.123 | 4551.488 | 4577.960 | 4604.539 | 4631.225 | 4658.018 | 4684.919 | 4711.928 |
.880 | 4739.044 | 4766.269 | 4793.602 | 4821.044 | 4848.595 | 4876.255 | 4904.024 | 4931.903 | 4959.891 | 4987.990 |
.890 | 5016.198 | 5044.517 | 5072.947 | 5101.488 | 5130.140 | 5158.903 | 5187.778 | 5216.764 | 5245.863 | 5275.073 |
.900 | 5304.397 | 5333.832 | 5363.381 | 5393.043 | 5422.818 | 5452.707 | 5482.709 | 5512.826 | 5543.057 | 5573.402 |
.910 | 5603.862 | 5634.436 | 5665.126 | 5695.931 | 5726.852 | 5757.889 | 5789.041 | 5820.310 | 5851.695 | 5883.196 |
.920 | 5914.815 | 5946.551 | 5978.404 | 6010.374 | 6042.463 | 6074.669 | 6106.994 | 6139.436 | 6171.998 | 6204.679 |
.930 | 6237.478 | 6270.397 | 6303.435 | 6336.593 | 6369.871 | 6403.269 | 6436.788 | 6470.427 | 6504.187 | 6538.068 |
.940 | 6572.071 | 6606.195 | 6640.440 | 6674.808 | 6709.297 | 6743.909 | 6778.644 | 6813.502 | 6848.482 | 6883.586 |
.950 | 6918.813 | 6954.164 | 6989.639 | 7025.238 | 7060.961 | 7096.809 | 7132.781 | 7168.879 | 7205.101 | 7241.450 |
.960 | 7277.923 | 7314.523 | 7351.249 | 7388.101 | 7425.079 | 7462.185 | 7499.417 | 7536.776 | 7574.263 | 7611.878 |
.970 | 7649.620 | 7687.490 | 7725.489 | 7763.616 | 7801.872 | 7840.256 | 7878.770 | 7917.413 | 7956.186 | 7995.088 |
.980 | 8034.121 | 8073.283 | 8112.576 | 8152.000 | 8191.554 | 8231.240 | 8271.057 | 8311.005 | 8351.085 | 8391.297 |
.990 | 8431.641 | 8472.118 | 8512.727 | 8553.469 | 8594.343 | 8635.352 | 8676.493 | 8717.768 | 8759.177 | 8800.720 |
Table 1b.
T62, °k | 0.000 | 0.001 | 0.002 | 0.003 | 0.004 | 0.005 | 0.006 | 0.007 | 0.008 | 0.009 |
---|---|---|---|---|---|---|---|---|---|---|
1.000 | 8.842 | 8.884 | 8.926 | 8.968 | 9.010 | 9.053 | 9.095 | 9.138 | 9.181 | 9.224 |
1.010 | 9.267 | 9.310 | 9.353 | 9.397 | 9.440 | 9.484 | 9.528 | 9.572 | 9.616 | 9.660 |
1.020 | 9.704 | 9.749 | 9.794 | 9.839 | 9.884 | 9.929 | 9.974 | 10.019 | 10.065 | 10.110 |
1.030 | 10.156 | 10.202 | 10.248 | 10.294 | 10.341 | 10.387 | 10.434 | 10.481 | 10.528 | 10.575 |
1.040 | 10.622 | 10.669 | 10.717 | 10.765 | 10.812 | 10.860 | 10.908 | 10.957 | 11.005 | 11.054 |
1.050 | 11.102 | 11.151 | 11.200 | 11.249 | 11.298 | 11.348 | 11.397 | 11.447 | 11.497 | 11.547 |
1.060 | 11.597 | 11.647 | 11.698 | 11.748 | 11.799 | 11.850 | 11.901 | 11.952 | 12.003 | 12.055 |
1.070 | 12.106 | 12.158 | 12.210 | 12.262 | 12.314 | 12.367 | 12.419 | 12.472 | 12.525 | 12.577 |
1.080 | 12.631 | 12.684 | 12.737 | 12.791 | 12.845 | 12.898 | 12.952 | 13.007 | 13.061 | 13.115 |
1.090 | 13.170 | 13.225 | 13.280 | 13.335 | 13.390 | 13.446 | 13.501 | 13.557 | 13.613 | 13.669 |
1.100 | 13.725 | 13.781 | 13.838 | 13.894 | 13.951 | 14.008 | 14.065 | 14.123 | 14.180 | 14.238 |
1.110 | 14.295 | 14.353 | 14.411 | 14.469 | 14.528 | 14.586 | 14.645 | 14.704 | 14.763 | 14.822 |
1.120 | 14.881 | 14.941 | 15.001 | 15.060 | 15.120 | 15.180 | 15.241 | 15.301 | 15.362 | 15.423 |
1.130 | 15.484 | 15.545 | 15.606 | 15.667 | 15.729 | 15.791 | 15.853 | 15.915 | 15.977 | 16.039 |
1.140 | 16.102 | 16.165 | 16.227 | 16.291 | 16.354 | 16.417 | 16.481 | 16.544 | 16.608 | 16.672 |
1.150 | 16.737 | 16.801 | 16.865 | 16.930 | 16.995 | 17.060 | 17.125 | 17.191 | 17.256 | 17.322 |
1.160 | 17.388 | 17.454 | 17.520 | 17.586 | 17.653 | 17.720 | 17.787 | 17.854 | 17.921 | 17.988 |
1.170 | 18.056 | 18.124 | 18.192 | 18.260 | 18.328 | 18.396 | 18.465 | 18.534 | 18.603 | 18.672 |
1.180 | 18.741 | 18.810 | 18.880 | 18.950 | 19.020 | 19.090 | 19.160 | 19.231 | 19.301 | 19.372 |
1.190 | 19.443 | 19.514 | 19.586 | 19.657 | 19.729 | 19.801 | 19.873 | 19.945 | 20.018 | 20.090 |
1.200 | 20.163 | 20.236 | 20.309 | 20.382 | 20.456 | 20.529 | 20.603 | 20.677 | 20.751 | 20.826 |
1.210 | 20.900 | 20.975 | 21.050 | 21.125 | 21.200 | 21.275 | 21.351 | 21.427 | 21.503 | 21.579 |
1.220 | 21.655 | 21.732 | 21.808 | 21.885 | 21.962 | 22.039 | 22.117 | 22.194 | 22.272 | 22.350 |
1.230 | 22.428 | 22.507 | 22.585 | 22.664 | 22.743 | 22.822 | 22.901 | 22.980 | 23.060 | 23.140 |
1.240 | 23.220 | 23.300 | 23.380 | 23.460 | 23.541 | 23.622 | 23.703 | 23.784 | 23.866 | 23.947 |
1.250 | 24.029 | 24.111 | 24.193 | 24.276 | 24.358 | 24.441 | 24.524 | 24.607 | 24.690 | 24.774 |
1.260 | 24.857 | 24.941 | 25.025 | 25.110 | 25.194 | 25.279 | 25.363 | 25.448 | 25.534 | 25.619 |
1.270 | 25.704 | 25.790 | 25.876 | 25.962 | 26.049 | 26.135 | 26.222 | 26.309 | 26.396 | 26.483 |
1.280 | 26.571 | 26.658 | 26.746 | 26.834 | 26.922 | 27.01l | 27.099 | 27.188 | 27.277 | 27.366 |
1.290 | 27.456 | 27.545 | 27.635 | 27.725 | 27.815 | 27.906 | 27.996 | 28.087 | 28.178 | 28.269 |
1.300 | 28.360 | 28.452 | 28.544 | 28.636 | 28.728 | 28.820 | 28.913 | 29.005 | 29.098 | 29.191 |
1.310 | 29.285 | 29.378 | 29.472 | 29.566 | 29.660 | 29.754 | 29.849 | 29.943 | 30.038 | 30.133 |
1.320 | 30.229 | 30.324 | 30.420 | 30.516 | 30.612 | 30.708 | 30.805 | 30.901 | 30.998 | 31.095 |
1.330 | 31.193 | 31.290 | 31.388 | 31.486 | 31.584 | 31.682 | 31.781 | 31.879 | 31.978 | 32.077 |
1.340 | 32.177 | 32.276 | 32.376 | 32.476 | 32.576 | 32.676 | 32.777 | 32.878 | 32.979 | 33.080 |
1.350 | 33.181 | 33.283 | 33.385 | 33.486 | 33.589 | 33.691 | 33.794 | 33.897 | 34.000 | 34.103 |
1.360 | 34.206 | 34.310 | 34.414 | 34.518 | 34.622 | 34.726 | 34.831 | 34.936 | 35.041 | 35.146 |
1.370 | 35.252 | 35.358 | 35.464 | 35.570 | 35.676 | 35.783 | 35.889 | 35.996 | 36.104 | 36.211 |
1.380 | 36.319 | 36.427 | 36.535 | 36.643 | 36.751 | 36.860 | 36.969 | 37.078 | 37.187 | 37.297 |
1.390 | 37.407 | 37.516 | 37.627 | 37.737 | 37.848 | 37.958 | 38.069 | 38.181 | 38.292 | 38.404 |
1.400 | 38.516 | 38.628 | 38.740 | 38.853 | 38.965 | 39.078 | 39.191 | 39.305 | 39.418 | 39.532 |
1.410 | 39.646 | 39.761 | 39.875 | 39.990 | 40.105 | 40.220 | 40.335 | 40.451 | 40.566 | 40.682 |
1.420 | 40.799 | 40.915 | 41.032 | 41.149 | 41.266 | 41.383 | 41.501 | 41.618 | 41.736 | 41.855 |
1.430 | 41.973 | 42.092 | 42.210 | 42.330 | 42.449 | 42.568 | 42.688 | 42.808 | 42.928 | 43.049 |
1.440 | 43.169 | 43.290 | 43.411 | 43.533 | 43.654 | 43.776 | 43.898 | 44.020 | 44.142 | 44.265 |
1.450 | 44.388 | 44.511 | 44.634 | 44.758 | 44.882 | 45.006 | 45.130 | 45.254 | 45.379 | 45.504 |
1.460 | 45.629 | 45.754 | 45.880 | 46.006 | 46.132 | 46.258 | 46.385 | 46.511 | 46.638 | 46.765 |
1.470 | 46.893 | 47.020 | 47.148 | 47.276 | 47.405 | 47.533 | 47.662 | 47.791 | 47.920 | 48.050 |
1.480 | 48.179 | 48.309 | 48.439 | 48.570 | 48.700 | 48.831 | 48.962 | 49.094 | 49.225 | 49.357 |
1.490 | 49.489 | 49.621 | 49.754 | 49.886 | 50.019 | 50.152 | 50.286 | 50.419 | 50.553 | 50.687 |
1.500 | 50.822 | 50.956 | 51.091 | 51.226 | 51.361 | 51.497 | 51.633 | 51.769 | 51.905 | 52.041 |
1.510 | 52.178 | 52.315 | 52.452 | 52.589 | 52.727 | 52.865 | 53.003 | 53.141 | 53.280 | 53.419 |
1.520 | 53.558 | 53.697 | 53.837 | 53.976 | 54.116 | 54.257 | 54.397 | 54.538 | 54.679 | 54.820 |
1.530 | 54.961 | 55.103 | 55.245 | 55.387 | 55.529 | 55.672 | 55.815 | 55.958 | 56.101 | 56.245 |
1.540 | 56.389 | 56.533 | 56.677 | 56.822 | 56.967 | 57.112 | 57.257 | 57.402 | 57.548 | 57.694 |
1.550 | 57.840 | 57.987 | 58.134 | 58.281 | 58.428 | 58.575 | 58.723 | 58.871 | 59.019 | 59.168 |
1.560 | 59.316 | 59.465 | 59.615 | 59.764 | 59.914 | 60.064 | 60.214 | 60.364 | 60.515 | 60.666 |
1.570 | 60.817 | 60.968 | 61.120 | 61.272 | 61.424 | 61.576 | 61.729 | 61.882 | 62.035 | 62.189 |
1.580 | 62.342 | 62.496 | 62.650 | 62.805 | 62.959 | 63.114 | 63.269 | 63.425 | 63.580 | 63.736 |
1.590 | 63.892 | 64.049 | 64.205 | 64.362 | 64.519 | 64.677 | 64.834 | 64.992 | 65.150 | 65.309 |
1.600 | 65.467 | 65.626 | 65.785 | 65.945 | 66.105 | 66.264 | 66.425 | 66.585 | 66.746 | 66.907 |
1.610 | 67.068 | 67.229 | 67.391 | 67.553 | 67.715 | 67.878 | 68.040 | 68.203 | 68.366 | 68.530 |
1.620 | 68.694 | 68.858 | 69.022 | 69.186 | 69.351 | 69.516 | 69.682 | 69.847 | 70.013 | 70.179 |
1.630 | 70.345 | 70.512 | 70.679 | 70.846 | 71.013 | 71.181 | 71.348 | 71.517 | 71.685 | 71.854 |
1.640 | 72.022 | 72.192 | 72.361 | 72.531 | 72.701 | 72.871 | 73.041 | 73.212 | 73.383 | 73.554 |
1.650 | 73.726 | 73.897 | 74.070 | 74.242 | 74.414 | 74.587 | 74.760 | 74.934 | 75.107 | 75.281 |
1.660 | 75.455 | 75.630 | 75.804 | 75.979 | 76.154 | 76.330 | 76.505 | 76.681 | 76.858 | 77.034 |
1.670 | 77.211 | 77.388 | 77.565 | 77.743 | 77.921 | 78.099 | 78.277 | 78.456 | 78.635 | 78.814 |
1.680 | 78.993 | 79.173 | 79.353 | 79.533 | 79.714 | 79.894 | 80.075 | 80.257 | 80.438 | 80.620 |
1.690 | 80.802 | 80.985 | 81.167 | 81.350 | 81.533 | 81.717 | 81.901 | 82.085 | 82.269 | 82.453 |
1.700 | 82.638 | 82.823 | 83.009 | 83.194 | 83.380 | 83.566 | 83.753 | 83.939 | 84.126 | 84.314 |
1.710 | 84.501 | 84.689 | 84.877 | 85.065 | 85.254 | 85.443 | 85.632 | 85.821 | 86.011 | 86.201 |
1.720 | 86.391 | 86.582 | 86.773 | 86.964 | 87.155 | 87.347 | 87.539 | 87.731 | 87.923 | 88.116 |
1.730 | 88.309 | 88.502 | 88.696 | 88.890 | 89.084 | 89.278 | 89.473 | 89.668 | 89.863 | 90.059 |
1.740 | 90.254 | 90.450 | 90.647 | 90.843 | 91.040 | 91.238 | 91.435 | 91.633 | 91.831 | 92.029 |
1.750 | 92.228 | 92.426 | 92.626 | 92.825 | 93.025 | 93.225 | 93.425 | 93.625 | 93.826 | 94.027 |
1.760 | 94.229 | 94.430 | 94.632 | 94.834 | 95.037 | 95.240 | 95.443 | 95.646 | 95.850 | 96.054 |
1.770 | 96.258 | 96.462 | 96.667 | 96.872 | 97.077 | 97.283 | 97.489 | 97.695 | 97.902 | 98.108 |
1.780 | 98.315 | 98.523 | 98.730 | 98.938 | 99.146 | 99.355 | 99.564 | 99.773 | 99.982 | 100.192 |
1.790 | 100.402 | 100.612 | 100.822 | 101.033 | 101.244 | 101.455 | 101.667 | 101.879 | 102.091 | 102.304 |
1.800 | 102.516 | 102.729 | 102.943 | 103.156 | 103.370 | 103.585 | 103.799 | 104.014 | 104.229 | 104.444 |
1.810 | 104.660 | 104.876 | 105.092 | 105.309 | 105.526 | 105.743 | 105.960 | 106.178 | 106.396 | 106.614 |
1.820 | 106.833 | 107.052 | 107.271 | 107.490 | 107.710 | 107.930 | 108.150 | 108.371 | 108.592 | 108.813 |
1.830 | 109.035 | 109.256 | 109.479 | 109.701 | 109.924 | 110.147 | 110.370 | 110.593 | 110.817 | 111.042 |
1.840 | 111.266 | 111.491 | 111.716 | 111.941 | 112.167 | 112.393 | 112.619 | 112.846 | 113.072 | 113.300 |
1.850 | 113.527 | 113.755 | 113.983 | 114.211 | 114.440 | 114.669 | 114.898 | 115.127 | 115.357 | 115.587 |
1.860 | 115.818 | 116.048 | 116.279 | 116.511 | 116.742 | 116.974 | 117.206 | 117.439 | 117.672 | 117.905 |
1.870 | 118.138 | 118.372 | 118.606 | 118.840 | 119.075 | 119.310 | 119.545 | 119.781 | 120.016 | 120.253 |
1.880 | 120.489 | 120.726 | 120.963 | 121.200 | 121.438 | 121.676 | 121.914 | 122.153 | 122.391 | 122.631 |
1.890 | 122.870 | 123.110 | 123.350 | 123.590 | 123.831 | 124.072 | 124.313 | 124.555 | 124.797 | 125.039 |
1.900 | 125.282 | 125.525 | 125.768 | 126.011 | 126.255 | 126.499 | 126.743 | 126.988 | 127.233 | 127.478 |
1.910 | 127.724 | 127.970 | 128.216 | 128.463 | 128.709 | 128.957 | 129.204 | 129.452 | 129.700 | 129.948 |
1.920 | 130.197 | 130.446 | 130.695 | 130.945 | 131.195 | 131.445 | 131.696 | 131.946 | 132.198 | 132.449 |
1.930 | 132.701 | 132.953 | 133.205 | 133.458 | 133.711 | 133.965 | 134.218 | 134.472 | 134.727 | 134.981 |
1.940 | 135.236 | 135.491 | 135.747 | 136.003 | 136.259 | 136.515 | 136.772 | 137.029 | 137.287 | 137.545 |
1.950 | 137.803 | 138.061 | 138.320 | 138.579 | 138.838 | 139.098 | 139.358 | 139.618 | 139.879 | 140.140 |
1.960 | 140.401 | 140 662 | 140.924 | 141.186 | 141.449 | 141.712 | 141.975 | 142.238 | 142.502 | 142.766 |
1.970 | 143.031 | 143.295 | 143.560 | 143.826 | 144.091 | 144.357 | 144.624 | 144.890 | 145.157 | 145.425 |
1.980 | 145.692 | 145.960 | 146.228 | 146.497 | 146.766 | 147.035 | 147.305 | 147.575 | 147.845 | 148.115 |
1.990 | 148.386 | 148.657 | 148.929 | 149.200 | 149.473 | 149.745 | 150.018 | 150.291 | 150.564 | 150.838 |
2.000 | 151.112 | 151.386 | 151.661 | 151.936 | 152.212 | 152.487 | 152.763 | 153.040 | 153.316 | 153.593 |
2.010 | 153.870 | 154.148 | 154.426 | 154.704 | 154.983 | 155.262 | 155.541 | 155.821 | 156.101 | 156.381 |
2.020 | 156.661 | 156.942 | 157.224 | 157.505 | 157.787 | 158.069 | 158.352 | 158.635 | 158.918 | 159.201 |
2.030 | 159.485 | 159.769 | 160.054 | 1G0.339 | 160.624 | 160.910 | 161.195 | 161.482 | 161.768 | 162.055 |
2.040 | 162.342 | 162.629 | 162.917 | 163.205 | 163.494 | 163.783 | 164.072 | 164.361 | 164.651 | 164.941 |
2.050 | 165.232 | 165.523 | 165.814 | 166.105 | 166.397 | 166.689 | 166.982 | 167.275 | 167.568 | 167.861 |
2.060 | 168.155 | 168.449 | 168.744 | 169.038 | 169.334 | 169.629 | 169.925 | 170.221 | 170.518 | 170.814 |
2.070 | 171.112 | 171.409 | 171.707 | 172.005 | 172.304 | 172.602 | 172.902 | 173.201 | 173.501 | 173.801 |
2.080 | 174.102 | 174.403 | 174.704 | 175.005 | 175.307 | 175.610 | 175.912 | 176.215 | 176.518 | 176.822 |
2.090 | 177.126 | 177.430 | 177.735 | 178.040 | 178.345 | 178.651 | 178.957 | 179.263 | 179.570 | 179.877 |
2.100 | 180.184 | 180.492 | 180.800 | 181.108 | 181.417 | 181.726 | 182.035 | 182.345 | 182.655 | 182.965 |
2.110 | 183.276 | 183.587 | 183.899 | 184.211 | 184.523 | 184.835 | 185.148 | 185.461 | 185.775 | 186.089 |
2.120 | 186.403 | 186.717 | 187.032 | 187.348 | 187.663 | 187.979 | 188.295 | 188.612 | 188.929 | 189.246 |
2.130 | 189.564 | 189.882 | 190.200 | 190.519 | 190.838 | 191.158 | 191.477 | 191.797 | 192.118 | 192.439 |
2.140 | 192.760 | 193.081 | 193.403 | 193.725 | 194.048 | 194.371 | 194.694 | 195.018 | 195.342 | 195.666 |
2.150 | 195.990 | 196.315 | 196.641 | 196.967 | 197.293 | 197.619 | 197.946 | 198.273 | 198.600 | 198.928 |
2,160 | 199.256 | 199.585 | 199.914 | 200.243 | 200.572 | 200.902 | 201.233 | 201.563 | 201.894 | 202.226 |
2.170 | 202.557 | 202.889 | 203.222 | 203.554 | 203.888 | 204.221 | 204.555 | 204.889 | 205.223 | 205.558 |
2,180 | 205.894 | 206.229 | 206.565 | 206.901 | 207.238 | 207.575 | 207.913 | 208.250 | 208.588 | 208.927 |
2.190 | 209.266 | 209.605 | 209.944 | 210.284 | 210.624 | 210.965 | 211.306 | 211.647 | 211.989 | 212.331 |
2.200 | 212.673 | 213.016 | 213.359 | 213.703 | 214.046 | 214.391 | 214.735 | 215.080 | 215.425 | 215.771 |
2.210 | 216.117 | 216.463 | 216.810 | 217.157 | 217.505 | 217.852 | 218.201 | 218.549 | 218.898 | 219.247 |
2.220 | 219.597 | 219.947 | 220.297 | 220.648 | 220.999 | 221.350 | 221.702 | 222.054 | 222.407 | 222.760 |
2.230 | 223.113 | 223.467 | 223.821 | 224.175 | 224.530 | 224.885 | 225.240 | 225.596 | 225.952 | 226.309 |
2.240 | 226.665 | 227.023 | 227.380 | 227.738 | 228.097 | 228.455 | 228.815 | 229.174 | 229.534 | 229.894 |
2.250 | 230.255 | 230.616 | 230.977 | 231.339 | 231.701 | 232.063 | 232.426 | 232.789 | 233.153 | 233.516 |
2.260 | 233.881 | 234.245 | 234.610 | 234.976 | 235.342 | 235.708 | 236.074 | 236.441 | 236.808 | 237.176 |
2.270 | 237.544 | 237.912 | 238.281 | 238.650 | 239.019 | 239.389 | 239.759 | 240.130 | 240.501 | 240.872 |
2.280 | 241.244 | 241.616 | 241.989 | 242.361 | 242.735 | 243.108 | 243.482 | 243.856 | 244.231 | 244.606 |
2.290 | 244.982 | 245.357 | 245.734 | 246.110 | 246.487 | 246.864 | 247.242 | 247.620 | 247.999 | 248.378 |
2.300 | 248.757 | 249.136 | 249.516 | 249.897 | 250.277 | 250.658 | 251.040 | 251.422 | 251.804 | 252.187 |
2.310 | 252.570 | 252.953 | 253.337 | 253.721 | 254.105 | 254.490 | 254.876 | 255.261 | 255.647 | 256.034 |
2.320 | 256.420 | 256.808 | 257.195 | 257.583 | 257.971 | 258.360 | 258.749 | 259.139 | 259.528 | 259.919 |
2.330 | 260.309 | 260.700 | 261.092 | 261.483 | 261.876 | 262.268 | 262.661 | 263.054 | 263.448 | 263.842 |
2.340 | 264.236 | 264.631 | 265.026 | 265.422 | 265.818 | 266.214 | 266.611 | 267.008 | 267.406 | 267.804 |
2.350 | 268.202 | 268.601 | 269.000 | 269.399 | 269.799 | 270.199 | 270.600 | 271.001 | 271.402 | 271.804 |
2.360 | 272.206 | 272.609 | 273.012 | 273.415 | 273.819 | 274.223 | 274.627 | 275.032 | 275.437 | 275.843 |
2.370 | 276.249 | 276.656 | 277.062 | 277.470 | 277.877 | 278.285 | 278.694 | 279.103 | 279.512 | 279.921 |
2.380 | 280.331 | 280.742 | 281.152 | 281.563 | 281.975 | 282.387 | 282.799 | 283.212 | 283.625 | 284.039 |
2.390 | 284.452 | 284.867 | 285.281 | 285.696 | 286.112 | 286.528 | 286.944 | 287.361 | 287.778 | 288.195 |
2.400 | 288.613 | 289.031 | 289.450 | 289.869 | 290.288 | 290.708 | 291.128 | 291.549 | 291.970 | 292.391 |
2.410 | 292.813 | 293.235 | 293.658 | 294.081 | 294.504 | 294.928 | 295.352 | 295.777 | 296.202 | 296.627 |
2.420 | 297.053 | 297.479 | 297.906 | 298.333 | 298.760 | 299.188 | 299.616 | 300.045 | 300.474 | 300.903 |
2.430 | 301.333 | 301.763 | 302.194 | 302.625 | 303.056 | 303.488 | 303.920 | 304.353 | 304.786 | 305.219 |
2.440 | 305.653 | 306.087 | 306.522 | 306.957 | 307.392 | 307.828 | 308.264 | 308.701 | 309.138 | 309.575 |
2.450 | 310.013 | 310.451 | 310.890 | 311.329 | 311.768 | 312.208 | 312.648 | 313.089 | 313.530 | 313.972 |
2.460 | 314.414 | 314.856 | 315.299 | 315.742 | 316.185 | 316.629 | 317.074 | 317.518 | 317.963 | 318.409 |
2.470 | 318.855 | 319.301 | 319.748 | 320.195 | 320.643 | 321.091 | 321.539 | 321.988 | 322.438 | 322.887 |
2.480 | 323.337 | 323.788 | 324.239 | 324.690 | 325.142 | 325.594 | 326.046 | 326.499 | 326.953 | 327.406 |
2.490 | 327.861 | 328.315 | 328.770 | 329.226 | 329.681 | 330.138 | 330.594 | 331.051 | 331.509 | 331.967 |
2.500 | 332.425 | 332.884 | 333.343 | 333.803 | 334.263 | 334.723 | 335.184 | 335.645 | 336.107 | 336.569 |
2.510 | 337.031 | 337.494 | 337.957 | 338.421 | 338.885 | 339.350 | 339.815 | 340.280 | 340.746 | 341.212 |
2.520 | 341.679 | 342.146 | 342.613 | 343.081 | 343.550 | 344.018 | 344.487 | 344.957 | 345.427 | 345.897 |
2.530 | 346.368 | 346.840 | 347.311 | 347.783 | 348.256 | 348.729 | 349.202 | 349.676 | 350.150 | 350.625 |
2.540 | 351.100 | 351.575 | 352.051 | 352.527 | 353.004 | 353.481 | 353.959 | 354.437 | 354.915 | 355.394 |
2.550 | 355.874 | 356.353 | 356.833 | 357.314 | 357.795 | 358.276 | 358.758 | 359.240 | 359.723 | 360.206 |
2.560 | 360.690 | 361.174 | 361.658 | 362.143 | 362.628 | 363.114 | 363.600 | 364.086 | 364.573 | 365.061 |
2.570 | 365.549 | 366.037 | 366.526 | 367.015 | 367.504 | 367.994 | 368.484 | 368.975 | 369.466 | 369.958 |
2.580 | 370.450 | 370.943 | 371.436 | 371.929 | 372.423 | 372.917 | 373.412 | 373.907 | 374.403 | 374.899 |
2.590 | 375.395 | 375.892 | 376.389 | 376.887 | 377.385 | 377.884 | 378.383 | 378.882 | 379.382 | 379.882 |
2.600 | 380.383 | 380.884 | 381.386 | 381.888 | 382.390 | 382.893 | 383.396 | 383.900 | 384.404 | 384.909 |
2.610 | 385.414 | 385.920 | 386.426 | 386.932 | 387.439 | 387.946 | 388.454 | 388.962 | 389.471 | 389.980 |
2.620 | 390.489 | 390.999 | 391.510 | 392.020 | 392.532 | 393.043 | 393.555 | 394.068 | 394.581 | 395.094 |
2.630 | 395.608 | 396.122 | 396.637 | 397.152 | 397.668 | 398.184 | 398.701 | 399.218 | 399.735 | 400.253 |
2.640 | 400.771 | 401.290 | 401.809 | 402.329 | 402.849 | 403.369 | 403.890 | 404.412 | 404.933 | 405.456 |
2.650 | 405.978 | 406.502 | 407.025 | 407.549 | 408.074 | 408.599 | 409.124 | 409.650 | 410.176 | 410.703 |
2.660 | 411.230 | 411.758 | 412.286 | 412.814 | 413.343 | 413.873 | 414.403 | 414.933 | 415.464 | 415.995 |
2.670 | 416.526 | 417.059 | 417.591 | 418.124 | 418.658 | 419.192 | 419.726 | 420.261 | 420.796 | 421.332 |
2.680 | 421.868 | 422.404 | 422.942 | 423.479 | 424.017 | 424.555 | 425.094 | 425.634 | 426.173 | 426.714 |
2.690 | 427.254 | 427.795 | 428.337 | 428.879 | 429.422 | 429.965 | 430.508 | 431.052 | 431.596 | 432.141 |
2.700 | 432.686 | 433.232 | 433.778 | 434.325 | 434.872 | 435.419 | 435.967 | 436.516 | 437.064 | 437.614 |
2.710 | 438.164 | 438.714 | 439.265 | 439.816 | 440.367 | 440.919 | 441.472 | 442.025 | 442.578 | 443.132 |
2.720 | 443.687 | 444.242 | 444.797 | 445.353 | 445.909 | 446.466 | 447.023 | 447.580 | 448.138 | 448.697 |
2.730 | 449.256 | 449.816 | 450.375 | 450.936 | 451.497 | 452.058 | 452.620 | 453.182 | 453.745 | 454.308 |
2.740 | 454.872 | 455.436 | 456.000 | 456.565 | 457.131 | 457.697 | 458.263 | 458.830 | 459.379 | 459.965 |
2.750 | 460.534 | 461.102 | 461.671 | 462.241 | 462.811 | 463.382 | 463.953 | 464.525 | 465.097 | 465.669 |
2.760 | 466.242 | 466.816 | 467.390 | 467.964 | 468.539 | 469.114 | 469.690 | 470.266 | 470.843 | 471.420 |
2.770 | 471.998 | 472.576 | 473.155 | 473.734 | 474.313 | 474.893 | 475.474 | 476.055 | 476.636 | 477.218 |
2.780 | 477.801 | 478.384 | 478.967 | 479.551 | 480.135 | 480.720 | 481.305 | 481.891 | 482.477 | 483.064 |
2.790 | 483.651 | 484.239 | 484.827 | 485.415 | 486.004 | 486.594 | 487.184 | 487.774 | 488.365 | 488.957 |
2.800 | 489.549 | 490.141 | 490.734 | 491.327 | 491.921 | 492.516 | 493.110 | 493.706 | 494.302 | 494.898 |
2.810 | 495.495 | 496.092 | 496.689 | 497.288 | 497.886 | 498.486 | 499.085 | 499.685 | 500.286 | 500.887 |
2.820 | 501.488 | 502.091 | 502.693 | 503.296 | 503.900 | 504.504 | 505.108 | 505.713 | 506.318 | 506.924 |
2.830 | 507.531 | 508.138 | 508.745 | 509.353 | 509.961 | 510.570 | 511.180 | 511.789 | 512.400 | 513.010 |
2.840 | 513.622 | 514.234 | 514.846 | 515.459 | 516.072 | 516.686 | 517.300 | 517.915 | 518.530 | 519.145 |
2.850 | 519.762 | 520.378 | 520.996 | 521.613 | 522.231 | 522.850 | 523.469 | 524.089 | 524.709 | 525.330 |
2.860 | 525.951 | 526.572 | 527.194 | 527.817 | 528.440 | 529.064 | 529.688 | 530.312 | 530.937 | 531.563 |
2.870 | 532.189 | 532.816 | 533.443 | 534.070 | 534.698 | 535.327 | 535.956 | 536.585 | 537.216 | 537.846 |
2.880 | 538.477 | 539.109 | 539.741 | 540.373 | 541.006 | 541.640 | 542.274 | 542.909 | 543.544 | 544.179 |
2.890 | 544.815 | 545.452 | 546.089 | 546.726 | 547.364 | 548.003 | 548.642 | 549.282 | 549.922 | 550.562 |
2.900 | 551.203 | 551.845 | 552.487 | 553.130 | 553.773 | 554.416 | 555.061 | 555.705 | 556.350 | 556.996 |
2.910 | 557.642 | 558.289 | 558.936 | 559.584 | 560.232 | 560.880 | 561.530 | 562.179 | 562.830 | 563.480 |
2.920 | 564.131 | 564.783 | 565.435 | 566.088 | 566.742 | 567.395 | 568.050 | 568.704 | 569.360 | 570.016 |
2.930 | 570.672 | 571.329 | 571.986 | 572.644 | 573.302 | 573.961 | 574.621 | 575.281 | 575.941 | 576.602 |
2.940 | 577.264 | 577.926 | 578.588 | 579.251 | 579.915 | 580.579 | 581.243 | 581.909 | 582.574 | 583.240 |
2.950 | 583.907 | 584.574 | 585.242 | 585.910 | 586.579 | 587.248 | 587.918 | 588.588 | 589.259 | 589.930 |
2.960 | 590.602 | 591.275 | 591.947 | 592.621 | 593.295 | 593.969 | 594.644 | 595.320 | 595.996 | 596.672 |
2.970 | 597.349 | 598.027 | 598.705 | 599.384 | 600.063 | 600.743 | 601.423 | 602.104 | 602.785 | 603.467 |
2.980 | 604.149 | 604.832 | 605.515 | 606.199 | 606.884 | 607.569 | 608.254 | 608.940 | 609.627 | 610.314 |
2.990 | 611.002 | 611.690 | 612.379 | 613.068 | 613.758 | 614.448 | 615.139 | 615.830 | 616.522 | 617.214 |
3.000 | 617.907 | 618.601 | 619.295 | 619.989 | 620.684 | 621.380 | 622.076 | 622.773 | 623.470 | 624.168 |
3.010 | 624.866 | 625.565 | 626.264 | 626.964 | 627.665 | 628.366 | 629.067 | 629.769 | 630.472 | 631.175 |
3.020 | 631.879 | 632.583 | 633.288 | 633.993 | 634.699 | 635.405 | 636.112 | 636.820 | 637.528 | 638.236 |
3.030 | 638.945 | 639.655 | 640.365 | 641.076 | 641.787 | 642.499 | 643.211 | 643.924 | 644.638 | 645.351 |
3.040 | 646.066 | 646.781 | 647.497 | 648.213 | 648.930 | 649.647 | 650.365 | 651.083 | 651.802 | 652.521 |
3.050 | 653.241 | 653.962 | 654.683 | 655.405 | 656.127 | 656.850 | 657.573 | 658.297 | 659.021 | 659.746 |
3.060 | 660.472 | 661.198 | 661.924 | 662.652 | 663.379 | 664.108 | 664.836 | 665.566 | 666.296 | 667.026 |
3.070 | 667.757 | 668.489 | 669.221 | 669.954 | 670.687 | 671.421 | 672.155 | 672.890 | 673.626 | 674.362 |
3,080 | 675.098 | 675, 836 | 676, 573 | 677.312 | 678.051 | 678.790 | 679.530 | 680.271 | 681.012 | 681.753 |
3.090 | 682.496 | 683.238 | 683.982 | 684.726 | 685.470 | 686.215 | 686.961 | 687.707 | 688.454 | 689.201 |
3.100 | 689.949 | 690.697 | 691.446 | 692.196 | 692.946 | 693.697 | 694.448 | 695.200 | 695.952 | 696.705 |
3.110 | 697.459 | 698.213 | 698.968 | 699.723 | 700.479 | 701.235 | 701.992 | 702.750 | 703.508 | 704.267 |
3.120 | 705.026 | 705.786 | 706.546 | 707.307 | 708.069 | 708.831 | 709.594 | 710.357 | 711.121 | 711.885 |
3.130 | 712.650 | 713.416 | 714.182 | 714.949 | 715.716 | 716.484 | 717.252 | 718.021 | 718.791 | 719.561 |
3.140 | 720.332 | 721.104 | 721.875 | 722.648 | 723.421 | 724.195 | 724.969 | 725.744 | 726.520 | 727.296 |
3.150 | 728.072 | 728.849 | 729.627 | 730.406 | 731.184 | 731.964 | 732.744 | 733.525 | 734.306 | 735.088 |
3.160 | 735.871 | 736.654 | 737.437 | 738.222 | 739.006 | 739.792 | 740.578 | 741.364 | 742.152 | 742.939 |
3.170 | 743.728 | 744.517 | 745.306 | 746.097 | 746.887 | 747.679 | 748.471 | 749.263 | 750.056 | 750.850 |
3.180 | 751.644 | 752.439 | 753.235 | 754.031 | 754.828 | 755.625 | 756.423 | 757.221 | 758.020 | 758.820 |
3.190 | 759.620 | 760.421 | 761.223 | 762.025 | 762.828 | 763.631 | 764.435 | 765.239 | 766.044 | 766.850 |
3.200 | 767.656 | 768.463 | 769.271 | 770.079 | 770.888 | 771.697 | 772.507 | 773.317 | 774.129 | 774.940 |
3.210 | 775.753 | 776.566 | 777.379 | 778.193 | 779.008 | 779.824 | 780.640 | 781.456 | 782.274 | 783.091 |
3.220 | 783.910 | 784.729 | 785.549 | 786.369 | 787.190 | 788.01l | 788.833 | 789.656 | 790.480 | 791.304 |
3.230 | 792.138 | 792.953 | 793.779 | 794.606 | 795.433 | 796.260 | 797.089 | 797.918 | 798.747 | 799.577 |
3.240 | 800.408 | 801.240 | 802.072 | 802.904 | 803.738 | 804.571 | 805.406 | 806.241 | 807.077 | 807.913 |
3.250 | 808.750 | 809.588 | 810.426 | 811.265 | 812.104 | 812.945 | 813.785 | 814.627 | 815.469 | 816.311 |
3.260 | 817.155 | 817.999 | 818.843 | 819.688 | 820.534 | 821.380 | 822.228 | 823.075 | 823.923 | 824.772 |
3.270 | 825.622 | 826.472 | 827.323 | 828.175 | 829.027 | 829.879 | 830.733 | 831.587 | 832.442 | 833 297 |
3.280 | 834.153 | 835.009 | 835.867 | 836.724 | 837.583 | 838.442 | 839.302 | 840.162 | 841.023 | 841.885 |
3.290 | 842.747 | 843.610 | 844.474 | 845.388 | 846.203 | 847.069 | 847.935 | 848.802 | 849.669 | 850.537 |
3.300 | 851.406 | 852.276 | 853.146 | 854.016 | 854.888 | 855.760 | 856.632 | 857.506 | 858.380 | 859.254 |
3.310 | 860.130 | 861.006 | 861.882 | 862.759 | 863.637 | 864.516 | 865.395 | 866.275 | 867.155 | 868.037 |
3.320 | 868.918 | 869.801 | 870.684 | 871.568 | 872.452 | 873.337 |
Tables 2a and 2b are inverted tables giving the temperature as a function of the vapor pressure of He3. The entries were evaluated by solving eq (1) implicitly by a process of successive iterations. The convergence criterion was set at 0.01 mdeg after which the entries were rounded to the nearest 0.1 mdeg (a 5 was always rounded up). Thus tables 1 and 2 should never show more than a 0.1 mdeg deviation from one another.
Table 2a.
P | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0. 01 | 13 | 12 | 11 | 10 | 10 | 9 | 9 | 8 | 7 | 8 | ||||||||||
.02 | 7 | 7 | 6 | 7 | 6 | 6 | 5 | 6 | 5 | 5 | ||||||||||
.03 | 6 | 4 | 5 | 5 | 4 | 5 | 4 | 4 | 4 | 4 | ||||||||||
.04 | 4 | 4 | 4 | 4 | 3 | 4 | 3 | 4 | 3 | 4 | ||||||||||
.05 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||||||||||
.06 | 3 | 2 | 3 | 3 | 3 | 2 | 3 | 2 | 3 | 2 | ||||||||||
.07 | 3 | 2 | 2 | 3 | 2 | 2 | 3 | 2 | 2 | 2 | ||||||||||
.08 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | ||||||||||
.09 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | ||||||||||
.10 | 18 | 16 | 15 | 14 | 13 | 12 | 12 | 11 | 11 | 10 | ||||||||||
.20 | 10 | 9 | 9 | 9 | 8 | 9 | 8 | 7 | 8 | 7 | ||||||||||
.30 | 7 | 7 | 6 | 7 | 6 | 6 | 6 | 6 | 6 | 5 | ||||||||||
.40 | 6 | 5 | 5 | 6 | 5 | 5 | 5 | 4 | 5 | 5 | ||||||||||
.50 | 4 | 5 | 4 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | ||||||||||
.60 | 4 | 4 | 4 | 4 | 3 | 4 | 4 | 3 | 4 | 3 | ||||||||||
.70 | 4 | 3 | 3 | 4 | 3 | 3 | 4 | 3 | 3 | 3 | ||||||||||
.80 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||||||||||
.90 | 2 | 3 | 3 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | ||||||||||
1 | 25 | 23 | 21 | 20 | 19 | 18 | 17 | 16 | 16 | 14 | ||||||||||
2 | 14 | 14 | 13 | 13 | 12 | 12 | 11 | 11 | 11 | 11 | ||||||||||
3 | 10 | 10 | 9 | 10 | 9 | 9 | 9 | 8 | 9 | 8 | ||||||||||
4 | 8 | 8 | 8 | 7 | 8 | 7 | 7 | 8 | 7 | 6 | ||||||||||
5 | 7 | 7 | 6 | 7 | 6 | 6 | 6 | 6 | 6 | 6 | ||||||||||
6 | 6 | 6 | 6 | 5 | 6 | 5 | 6 | 5 | 5 | 5 | ||||||||||
7 | 5 | 6 | 5 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | ||||||||||
8 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 4 | 4 | ||||||||||
9 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | ||||||||||
10 | 37 | 34 | 33 | 30 | 29 | 27 | 26 | 24 | 24 | 23 | ||||||||||
20 | 21 | 21 | 21 | 19 | 19 | 18 | 18 | 17 | 17 | 16 | ||||||||||
30 | 16 | 15 | 15 | 15 | 15 | 14 | 13 | 14 | 13 | 13 | ||||||||||
40 | 13 | 12 | 12 | 12 | 12 | 11 | 12 | 11 | 11 | 11 | ||||||||||
50 | 10 | 11 | 10 | 10 | 10 | 10 | 10 | 10 | 9 | 10 | ||||||||||
60 | 9 | 9 | 9 | 9 | 9 | 8 | 9 | 8 | 9 | 8 | ||||||||||
70 | 8 | 9 | 8 | 7 | 8 | 8 | 8 | 7 | 8 | 7 | ||||||||||
80 | 8 | 7 | 7 | 8 | 7 | 7 | 7 | 7 | 7 | 7 | ||||||||||
90 | 6 | 7 | 7 | 6 | 7 | 6 | 7 | 6 | 6 | 7 |
Table 2b.
P | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.1 | 60 | 56 | 53 | 50 | 47 | 44 | 43 | 41 | 39 | 37 | ||||||||||
.2 | 37 | 34 | 34 | 33 | 31 | 31 | 30 | 29 | 28 | 27 | ||||||||||
.3 | 27 | 26 | 26 | 24 | 25 | 24 | 23 | 23 | 23 | 22 | ||||||||||
.4 | 21 | 22 | 20 | 21 | 20 | 20 | 19 | 20 | 19 | 18 | ||||||||||
.5 | 19 | 18 | 18 | 17 | 18 | 17 | 17 | 16 | 17 | 16 | ||||||||||
.6 | 16 | 16 | 16 | 15 | 16 | 15 | 15 | 14 | 15 | 15 | ||||||||||
.7 | 14 | 14 | 14 | 14 | 14 | 14 | 13 | 14 | 13 | 13 | ||||||||||
.8 | 13 | 13 | 13 | 12 | 13 | 12 | 13 | 12 | 12 | 12 | ||||||||||
.9 | 12 | 12 | 12 | 12 | 11 | 12 | 11 | 11 | 12 | 11 | ||||||||||
1.0 | 11 | 11 | 11 | 11 | 10 | 11 | 11 | 10 | 11 | 10 | ||||||||||
1.1 | 11 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | ||||||||||
1.2 | 10 | 9 | 10 | 9 | 10 | 9 | 10 | 9 | 9 | 9 | ||||||||||
1.3 | 10 | 9 | 9 | 9 | 9 | 9 | 9 | 8 | 9 | 9 | ||||||||||
1.4 | 9 | 8 | 9 | 9 | 8 | 9 | 8 | 8 | 9 | 8 | ||||||||||
1.5 | 8 | 9 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | ||||||||||
1.6 | 8 | 8 | 8 | 7 | 8 | 8 | 8 | 7 | 8 | 8 | ||||||||||
1.7 | 7 | 8 | 7 | 8 | 7 | 8 | 7 | 7 | 8 | 7 | ||||||||||
1.8 | 7 | 7 | 8 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | ||||||||||
1.9 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 6 | 7 | 7 | ||||||||||
2.0 | 7 | 7 | 6 | 7 | 7 | 6 | 7 | 6 | 7 | 6 | ||||||||||
2.1 | 7 | 6 | 7 | 6 | 7 | 6 | 7 | 6 | 6 | 7 | ||||||||||
2.2 | 6 | 6 | 6 | 7 | 6 | 6 | 6 | 6 | 7 | 6 | ||||||||||
2.3 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | ||||||||||
2.4 | 6 | 6 | 6 | 5 | 6 | 6 | 6 | 6 | 6 | 5 | ||||||||||
2.5 | 6 | 6 | 6 | 5 | 6 | 6 | 5 | 6 | 6 | 5 | ||||||||||
2.6 | 6 | 5 | 6 | 5 | 6 | 6 | 5 | 6 | 5 | 5 | ||||||||||
2.7 | 6 | 5 | 6 | 5 | 6 | 5 | 5 | 6 | 5 | 5 | ||||||||||
2.8 | 6 | 5 | 5 | 6 | 5 | 5 | 5 | 6 | 5 | 5 | ||||||||||
2.9 | 5 | 5 | 5 | 6 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||
3 | 50 | 49 | 48 | 47 | 46 | 45 | 44 | 43 | 43 | 42 | ||||||||||
4 | 41 | 40 | 40 | 39 | 38 | 38 | 38 | 36 | 37 | 35 | ||||||||||
5 | 36 | 34 | 35 | 33 | 34 | 33 | 32 | 33 | 31 | 32 | ||||||||||
6 | 31 | 31 | 30 | 30 | 30 | 29 | 29 | 29 | 29 | 28 | ||||||||||
7 | 28 | 28 | 27 | 27 | 27 | 27 | 26 | 27 | 26 | 25 | ||||||||||
8 | 26 | 25 | 25 | 25 | 25 | 24 | 25 | 24 | 24 | 24 | ||||||||||
9 | 23 | 24 | 23 | 23 | 23 | 22 | 23 | 22 | 23 | 22 | ||||||||||
10 | 22 | 22 | 21 | 22 | 21 | 21 | 21 | 21 | 21 | 21 | ||||||||||
11 | 21 | 20 | 20 | 21 | 20 | 20 | 19 | 20 | 20 | 19 | ||||||||||
12 | 20 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 18 | 19 | ||||||||||
13 | 18 | 18 | 19 | 18 | 18 | 18 | 18 | 17 | 18 | 18 | ||||||||||
14 | 17 | 17 | 18 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | ||||||||||
15 | 17 | 16 | 17 | 16 | 17 | 16 | 16 | 17 | 16 | 16 | ||||||||||
16 | 16 | 16 | 16 | 15 | 16 | 16 | 15 | 16 | 15 | 16 | ||||||||||
17 | 15 | 15 | 16 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | ||||||||||
18 | 15 | 14 | 15 | 15 | 14 | 15 | 14 | 15 | 14 | 14 | ||||||||||
19 | 14 | 15 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | ||||||||||
20 | 13 | 14 | 14 | 13 | 14 | 14 | 13 | 14 | 13 | 13 | ||||||||||
21 | 14 | 13 | 13 | 13 | 14 | 13 | 13 | 13 | 13 | 13 | ||||||||||
22 | 13 | 13 | 13 | 12 | 13 | 13 | 13 | 12 | 13 | 13 | ||||||||||
23 | 12 | 13 | 12 | 13 | 12 | 12 | 13 | 12 | 12 | 12 | ||||||||||
24 | 13 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | ||||||||||
25 | 12 | 12 | 12 | 11 | 12 | 12 | 12 | 11 | 12 | 11 | ||||||||||
26 | 12 | 12 | 11 | 12 | 11 | 11 | 12 | 11 | 12 | 11 | ||||||||||
27 | 11 | 11 | 12 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | ||||||||||
28 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 10 | ||||||||||
29 | 11 | 11 | 11 | 10 | 11 | 11 | 10 | 11 | 10 | 11 | ||||||||||
30 | 11 | 10 | 10 | 11 | 10 | 11 | 10 | 11 | 10 | 10 | ||||||||||
31 | 10 | 11 | 10 | 10 | 10 | 11 | 10 | 10 | 10 | 10 | ||||||||||
32 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | ||||||||||
33 | 10 | 10 | 10 | 10 | 9 | 10 | 10 | 10 | 9 | 10 | ||||||||||
34 | 10 | 9 | 10 | 10 | 9 | 10 | 9 | 10 | 10 | 9 | ||||||||||
35 | 10 | 9 | 10 | 9 | 9 | 10 | 9 | 10 | 9 | 9 | ||||||||||
36 | 10 | 9 | 9 | 10 | 9 | 9 | 9 | 9 | 10 | 9 | ||||||||||
37 | 9 | 9 | 9 | 9 | 10 | 9 | 9 | 9 | 9 | 9 | ||||||||||
38 | 9 | 9 | 9 | 9 | 9 | 9 | 8 | 9 | 9 | 9 | ||||||||||
39 | 9 | 9 | 9 | 8 | 9 | 9 | 9 | 8 | 9 | 9 | ||||||||||
40 | 9 | 8 | 9 | 9 | 8 | 9 | 9 | 8 | 9 | 8 | ||||||||||
41 | 9 | 8 | 9 | 8 | 9 | 8 | 9 | 8 | 9 | 8 | ||||||||||
42 | 9 | 8 | 9 | 8 | 8 | 9 | 8 | 8 | 9 | 8 | ||||||||||
43 | 8 | 9 | 8 | 8 | 8 | 9 | 8 | 8 | 8 | 8 | ||||||||||
44 | 9 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 9 | ||||||||||
45 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | ||||||||||
46 | 7 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 7 | ||||||||||
47 | 8 | 8 | 8 | 8 | 7 | 8 | 8 | 8 | 7 | 8 | ||||||||||
48 | 8 | 8 | 7 | 8 | 8 | 7 | 8 | 8 | 7 | 8 | ||||||||||
49 | 7 | 8 | 8 | 7 | 8 | 7 | 8 | 8 | 7 | 8 | ||||||||||
50 | 74 | 74 | 73 | 72 | 71 | 70 | 69 | 69 | 68 | 67 | ||||||||||
60 | 66 | 66 | 65 | 64 | 64 | 62 | 63 | 62 | 61 | 60 | ||||||||||
70 | 60 | 60 | 59 | 58 | 58 | 57 | 57 | 56 | 56 | 56 | ||||||||||
80 | 55 | 54 | 55 | 53 | 54 | 52 | 53 | 52 | 52 | 51 | ||||||||||
90 | 51 | 51 | 50 | 50 | 49 | 49 | 49 | 49 | 48 | 48 | ||||||||||
100 | 47 | 48 | 47 | 46 | 47 | 46 | 46 | 45 | 45 | 45 | ||||||||||
110 | 45 | 45 | 44 | 44 | 43 | 44 | 43 | 43 | 43 | 42 | ||||||||||
120 | 43 | 42 | 41 | 42 | 41 | 42 | 41 | 40 | 41 | 40 | ||||||||||
130 | 40 | 40 | 40 | 39 | 40 | 39 | 39 | 39 | 38 | 39 | ||||||||||
140 | 38 | 38 | 38 | 38 | 37 | 38 | 37 | 37 | 37 | 36 | ||||||||||
150 | 37 | 36 | 37 | 36 | 36 | 35 | 36 | 36 | 35 | 35 | ||||||||||
160 | 35 | 35 | 35 | 35 | 34 | 34 | 35 | 34 | 34 | 34 | ||||||||||
170 | 33 | 34 | 33 | 34 | 33 | 33 | 33 | 33 | 32 | 33 | ||||||||||
180 | 33 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 31 | 32 | ||||||||||
190 | 31 | 31 | 32 | 31 | 30 | 31 | 31 | 31 | 30 | 31 | ||||||||||
200 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 29 | 30 | ||||||||||
210 | 29 | 29 | 30 | 29 | 29 | 29 | 29 | 28 | 29 | 29 | ||||||||||
220 | 28 | 28 | 29 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | ||||||||||
230 | 28 | 27 | 28 | 27 | 28 | 27 | 27 | 27 | 28 | 27 | ||||||||||
240 | 26 | 27 | 27 | 27 | 27 | 26 | 27 | 26 | 26 | 27 | ||||||||||
250 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 25 | 26 | ||||||||||
260 | 26 | 25 | 26 | 25 | 25 | 26 | 25 | 25 | 25 | 25 | ||||||||||
270 | 25 | 25 | 25 | 25 | 24 | 25 | 24 | 25 | 25 | 24 | ||||||||||
280 | 24 | 25 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | ||||||||||
290 | 24 | 24 | 23 | 24 | 24 | 23 | 24 | 23 | 24 | 23 | ||||||||||
300 | 23 | 24 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | ||||||||||
310 | 23 | 22 | 23 | 23 | 22 | 23 | 22 | 23 | 22 | 23 | ||||||||||
320 | 22 | 22 | 23 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | ||||||||||
330 | 22 | 22 | 22 | 21 | 22 | 22 | 21 | 22 | 22 | 21 | ||||||||||
340 | 21 | 22 | 21 | 22 | 21 | 21 | 21 | 22 | 21 | 21 | ||||||||||
350 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 20 | 21 | 21 | ||||||||||
360 | 20 | 21 | 21 | 20 | 21 | 20 | 21 | 20 | 21 | 20 | ||||||||||
370 | 20 | 20 | 21 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | ||||||||||
380 | 20 | 20 | 20 | 20 | 20 | 20 | 19 | 20 | 20 | 19 | ||||||||||
390 | 20 | 20 | 19 | 20 | 19 | 20 | 19 | 19 | 20 | 19 | ||||||||||
400 | 19 | 20 | 19 | 19 | 19 | 19 | 20 | 19 | 19 | 19 | ||||||||||
410 | 19 | 19 | 19 | 18 | 19 | 19 | 19 | 19 | 18 | 19 | ||||||||||
420 | 19 | 18 | 19 | 19 | 18 | 19 | 18 | 19 | 18 | 19 | ||||||||||
430 | 18 | 18 | 19 | 18 | 18 | 19 | 18 | 18 | 18 | 18 | ||||||||||
440 | 18 | 19 | 18 | 18 | 18 | 18 | 18 | 18 | 17 | 18 | ||||||||||
450 | 18 | 18 | 18 | 18 | 17 | 18 | 18 | 17 | 18 | 18 | ||||||||||
460 | 17 | 18 | 17 | 18 | 17 | 18 | 17 | 18 | 17 | 17 | ||||||||||
470 | 18 | 17 | 17 | 18 | 17 | 17 | 17 | 17 | 18 | 17 | ||||||||||
480 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | ||||||||||
490 | 17 | 16 | 17 | 17 | 17 | 16 | 17 | 17 | 17 | 16 | ||||||||||
500 | 17 | 17 | 16 | 17 | 16 | 17 | 16 | 17 | 16 | 17 | ||||||||||
510 | 16 | 16 | 17 | 16 | 17 | 16 | 16 | 16 | 17 | 16 | ||||||||||
520 | 16 | 16 | 16 | 17 | 16 | 16 | 16 | 16 | 16 | 16 | ||||||||||
530 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 15 | 16 | 16 | ||||||||||
540 | 16 | 16 | 15 | 16 | 16 | 16 | 15 | 16 | 16 | 15 | ||||||||||
550 | 16 | 15 | 16 | 16 | 15 | 16 | 15 | 16 | 15 | 15 | ||||||||||
560 | 16 | 15 | 16 | 15 | 15 | 16 | 15 | 15 | 16 | 15 | ||||||||||
570 | 15 | 15 | 15 | 16 | 15 | 15 | 15 | 15 | 15 | 15 | ||||||||||
580 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | ||||||||||
590 | 15 | 15 | 15 | 14 | 15 | 15 | 15 | 15 | 14 | 15 | ||||||||||
600 | 15 | 15 | 14 | 15 | 14 | 15 | 15 | 14 | 15 | 14 | ||||||||||
610 | 15 | 15 | 14 | 15 | 14 | 14 | 15 | 14 | 15 | 14 | ||||||||||
620 | 15 | 14 | 14 | 15 | 14 | 14 | 15 | 14 | 14 | 14 | ||||||||||
630 | 15 | 14 | 14 | 14 | 14 | 14 | 15 | 14 | 14 | 14 | ||||||||||
640 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | ||||||||||
650 | 14 | 14 | 14 | 14 | 13 | 14 | 14 | 14 | 14 | 14 | ||||||||||
660 | 13 | 14 | 14 | 14 | 13 | 14 | 14 | 13 | 14 | 14 | ||||||||||
670 | 13 | 14 | 14 | 13 | 14 | 13 | 14 | 13 | 14 | 13 | ||||||||||
680 | 14 | 13 | 14 | 13 | 14 | 13 | 14 | 13 | 13 | 14 | ||||||||||
690 | 13 | 13 | 14 | 13 | 13 | 14 | 13 | 13 | 13 | 14 | ||||||||||
700 | 13 | 13 | 13 | 14 | 13 | 13 | 13 | 13 | 13 | 13 | ||||||||||
710 | 13 | 14 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | ||||||||||
720 | 13 | 13 | 13 | 13 | 12 | 13 | 13 | 13 | 13 | 13 | ||||||||||
730 | 13 | 12 | 13 | 13 | 13 | 13 | 12 | 13 | 13 | 13 | ||||||||||
740 | 12 | 13 | 13 | 12 | 13 | 13 | 12 | 13 | 13 | 12 | ||||||||||
750 | 13 | 12 | 13 | 13 | 12 | 13 | 12 | 13 | 12 | 13 | ||||||||||
760 | 12 | 13 | 12 | 13 | 12 | 12 | 13 | 12 | 13 | 12 | ||||||||||
770 | 12 | 13 | 12 | 12 | 13 | 12 | 12 | 13 | 12 | 12 | ||||||||||
780 | 12 | 13 | 12 | 12 | 12 | 13 | 12 | 12 | 12 | 12 | ||||||||||
790 | 12 | 12 | 13 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | ||||||||||
800 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | ||||||||||
810 | 12 | 12 | 12 | 12 | 11 | 12 | 12 | 12 | 12 | 12 | ||||||||||
820 | 12 | 11 | 12 | 12 | 12 | 11 | 12 | 12 | 12 | 11 | ||||||||||
830 | 12 | 12 | 12 | 11 | 12 | 12 | 11 | 12 | 12 | 11 | ||||||||||
840 | 12 | 11 | 12 | 12 | 11 | 12 | 11 | 12 | 11 | 12 | ||||||||||
850 | 11 | 12 | 11 | 12 | 11 | 12 | 11 | 12 | 11 | 12 | ||||||||||
860 | 11 | 11 | 12 | 11 | 12 | 11 | 11 | 12 | 11 | 11 | ||||||||||
870 | 12 | 11 | 11 |
Table 3, giving values of the derivative dP3/dT62 at intervals of 0.01 deg from 0.2 to 3.33 °K, was computed analytically from eq (1) and its first temperature derivative, i.e.,
(2) |
Table 3.
T62, °k | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
---|---|---|---|---|---|---|---|---|---|---|
0.20 | 0.001 | 0.002 | 0.003 | 0.005 | 0.008 | 0.012 | 0.017 | 0. 025 | 0.035 | 0.049 |
.30 | .066 | .087 | .113 | . 145 | .184 | .229 | .283 | .345 | .417 | .499 |
.40 | .592 | .696 | .814 | .944 | 1.089 | 1.248 | 1.422 | 1. 612 | 1.819 | 2.042 |
.50 | 2. 283 | 2. 543 | 2.820 | 3.117 | 3.433 | 3. 769 | 4.125 | 4. 501 | 4.898 | 5.317 |
.60 | 5. 756 | 6. 217 | 6.700 | 7. 204 | 7. 731 | 8.280 | 8.851 | 9. 445 | 10.061 | 10.700 |
.70 | 11.362 | 12.046 | 12. 753 | 13. 483 | 14. 236 | 15.012 | 15. 811 | 16. 632 | 17.477 | 18. 344 |
.80 | 19. 234 | 20.147 | 21.082 | 22.041 | 23.022 | 24.025 | 25.051 | 26.100 | 27.171 | 28. 264 |
.90 | 29.379 | 30. 517 | 31.677 | 32. 859 | 34.063 | 35.289 | 36. 537 | 37. 806 | 39.097 | 40.410 |
1.00 | 41. 745 | 43.100 | 44.478 | 45. 876 | 47. 296 | 48. 737 | 50.199 | 51. 682 | 53.186 | 54. 711 |
1.10 | 56.257 | 57. 823 | 59.410 | 61 018 | 62. 646 | 64.295 | 65. 964 | 67. 653 | 69. 363 | 71.093 |
1.20 | 72. 843 | 74. 613 | 76.403 | 78. 213 | 80.043 | 81.893 | 83. 763 | 85. 652 | 87. 561 | 89. 490 |
1.30 | 91.438 | 93. 406 | 95.394 | 97. 400 | 99. 427 | 101.472 | 103. 537 | 105. 621 | 107. 724 | 109.847 |
1.40 | 111.988 | 114.149 | 116.329 | 118. 528 | 120. 745 | 122. 982 | 125. 237 | 127. 512 | 129.805 | 132.117 |
1.50 | 134. 447 | 136. 796 | 139.164 | 141. 551 | 143.956 | 146. 380 | 148. 822 | 151. 283 | 153.762 | 156. 260 |
1.60 | 158. 776 | 161.311 | 163.863 | 166. 435 | 169.024 | 171. 632 | 174. 257 | 176. 902 | 179. 564 | 182. 244 |
1.70 | 184. 943 | 187. 659 | 190.394 | 193.147 | 195.918 | 198. 706 | 201. 513 | 204. 338 | 207.181 | 210.041 |
1.80 | 212. 920 | 215.816 | 218. 730 | 221. 662 | 224.612 | 227. 579 | 230. 565 | 233. 568 | 236. 589 | 239. 627 |
1.90 | 242. 684 | 245.758 | 248.849 | 251.959 | 255.086 | 258. 230 | 261.393 | 264. 573 | 267. 770 | 270. 985 |
2.00 | 274. 218 | 277. 468 | 280. 736 | 284. 022 | 287.325 | 290. 646 | 293. 984 | 297. 340 | 300. 713 | 304.104 |
2.10 | 307. 513 | 310. 939 | 314.383 | 317. 844 | 321.323 | 324.820 | 328.334 | 331. 866 | 335.416 | 338. 983 |
2. 20 | 342. 568 | 346.171 | 349. 792 | 353. 430 | 357.086 | 360. 760 | 364. 451 | 368.161 | 371.889 | 375. 634 |
2.30 | 379.398 | 383.179 | 386. 979 | 390. 796 | 394. 632 | 398.486 | 402. 359 | 406. 250 | 410.159 | 414.086 |
2.40 | 418.032 | 421.997 | 425. 980 | 429. 982 | 434.003 | 438.042 | 442.101 | 446. 178 | 450.275 | 454. 391 |
2. 50 | 458. 526 | 462. 680 | 466.854 | 471. 048 | 475. 261 | 479. 495 | 483.748 | 488.021 | 492.314 | 496. 628 |
2. 60 | 500.962 | 505.317 | 609.692 | 514.088 | 518. 505 | 522.944 | 527.404 | 531. 885 | 536.388 | 540. 912 |
2.70 | 545. 459 | 550.028 | 554. 611) | 559. 233 | 563.870 | 568. 530 | 573. 212 | 577. 919 | 582. 649 | 587. 402 |
2.80 | 592.180 | 596. 982 | 601.809 | 606. 661 | 611.537 | 616.440 | 621.367 | 626. 321 | 631.301 | 636. 307 |
2. 90 | 641.340 | 646.401 | 651.488 | 656. 604 | 661. 747 | 666. 919 | 672.120 | 677. 349 | 682. 609 | 687.898 |
3.00 | 693. 217 | 698. 567 | 703.948 | 709. 360 | 714.804 | 720.281 | 725. 790 | 731. 332 | 736. 908 | 742. 517 |
3.10 | 748. 162 | 753.841 | 759. 556 | 765. 306 | 771.093 | 776.918 | 782. 779 | 788. 679 | 794.617 | 800. 595 |
3. 20 | 806.612 | 812. 670 | 818. 768 | 824.909 | 831.091 | 837.316 | 843. 585 | 849. 898 | 856. 255 | 862.658 |
3.30 | 869.108 | 875. 604 | 882.148 | 888. 740 |
Certain portions of parts I, II, and III of this series might be particularly useful to users of these tables. For example, a shortened version of tables 1a and 1b appears as table 5 of Part II.
Deviations of the 1962 He3 Scale from various previous He3 temperature scales are given in table 6 of Part II.
A compilation of thermodynamic properties of He3 consistent with the 1962 He3 Scale is given in table 4 of Part III.
General remarks concerning various needed corrections to a vapor-pressure measurement are given in the section of Part I entitled “Pressure Measurement.” Figure 4 of Part I depicts a convenient procedure for making the important thermal transpiration correction. Additional remarks on this latter correction factor are given in section 5 of Part III.
The correction for He4 impurity is mentioned briefly in Part I and in more detail in section 3 of Part III. In figure 7 of Part III several correction curves are given which may be used to adjust an uncorrected temperature for the effect of the He4 impurity content in the liquid. In this connection the experimenter is cautioned that, due to fractiona-tion between vapor and liquid, the actual concentration of He4 in the liquid probably will be greater than the average concentration of the total gas in the vapor-pressure system by an amount depending on the volume of the vapor space and the experimental technique. For example, if most of the gas is first condensed at very low temperature into the vapor-pressure bulb and then most of that liquid subsequently is evaporated into the vapor space, a large fraction of the He4 will remain in the liquid state and a corresponding high value of the impurity correction will be needed. Such considerations may become particularly important if temperature is being measured as the vapor pressure of a bath of He3. Tables of equilibrium vapor/liquid concentration ratios, if unavoidably needed, are given in references [38] and [74]. The best technique, of course, is to use only very high purity He3. As explained in section 3 of Part III, steps have been undertaken to make He3 of very high purity available for thermom-etry.
Remarks concerning the possibility and detection of errors due to gas oscillations are given at the end of Part I.
The fit of the 1962 He3 Scale to the intercomparison He3 and He4 vapor-pressure data of Part I and to the 1958 He4 Scale is given in table 1 and figure 1 of Part II and is discussed in detail in subsection 1.1 of Part III. The fit of the 1962 He3 Scale to Keller’s isotherms is given in figure 2 of Part II and is discussed in detail in subsection 1.5 of Part III.
The 1962 He3 Scale of Temperatures has been given status similar to that of the 1958 He4 Scale of Temperatures by the International Committee on Weights and Measures [68, 69]. The pertinent portion of the minutes of that committee’s Advisory Committee on Thermometry [67] is given in section 4 of Part III.
Footnotes
Work performed under the auspices of the United States Atomic Energy Commission.
These tables are the same as those issued as Los Alamos Scientific Laboratory Report LAMS-2701 (July. 1962).
Figures in brackets indicate the literature references at the end of this paper.
This list of references applies to papers I, II, III, and IV of this series. For completeness and convenience, it is reproduced in its entirety at the end of each paper.
References*
- [1].Sydoriak S. G., Roberts T. R., and Sherman R. H., Proc. 7th Intern. Conf. Low Temperature Physics, ed. Graham G. M. and Hollis-Hallett A. C. (Univ. of Toronto Press, Toronto, 1961), ch. 30, p. 717. [Google Scholar]
- [2].Brickwedde F. G., van Dijk H., Durieux M., Clement J. R., and Logan J. K., J. Res. NBS 64A (Phys. & Chem.), 1 (1960). [DOI] [PMC free article] [PubMed] [Google Scholar]
- [3].Brewer D. F., Sreedhar A. K., Kramers H. C., and Daunt J. G., Phys. Rev. 115, 830 (1959). [Google Scholar]
- [4].Weinstock B., Abraham B. M., and Osborne D. W., Nuovo Cimento Suppl. 9, 310 (1958). [Google Scholar]
- [5].Abraham B. M., Osborne D. W., and Weinstock B., Phys. Rev. 80, 366 (1950). [Google Scholar]
- [6].Sydoriak S. G., Roberts T. R., and Sherman R. H., Paper II of this series.
- [7].Roberts T. R., Sherman R. H., and Sydoriak S. G., Paper III of this series.
- [8].Sherman R. H., Sydoriak S. G., and Roberts T. R., Paper IV of this series. See also Los Alamos Scientific Lab. Rept. LAMS 2701 (July 1962). [Google Scholar]
- [9].Sydoriak S. G. and Roberts T. R., Phys. Rev. 106, 175 (1957). [Google Scholar]
- [10].Roberts T. R., Sydoriak S. G., and Sherman R. H., Proc. 4th Symp. Temperature, Its Measurement and Control in Science and Industry, ed. Herzfeld C. M. (Reinhold Publ. Corp., New York, 1962), Vol. 3, pt. 1, p. 75. [Google Scholar]
- [11].Keller W. E., Phys. Rev. 97, 1 (1955); 100, 1790 (1955). [Google Scholar]
- [12].Keller W. E., Phys. Rev. 98, 1571 (1955). [Google Scholar]
- [13].Hoare F. E. and Zimmerman J. E., Rev. Sci. Instr. 30, 184 (1959); [Google Scholar]; Swim R. T., Advances in Cryogenic Engineering, ed. Timmerhaus K. D.(Plenum Press, Inc., New York, 1960), Vol. 5, pp. 498–504. [Google Scholar]
- [14].Plumb H. H., Proc. 10th Intern. Congr. Refrigeration, Copenhagen,1959, ed. Jul M and Jul A. M. S. (Per-gamon Press, Paris, 1960), Vol. 1, pp. 184–187. [Google Scholar]
- [15].Durieux M., Thermometry at Liquid Helium and Liquid Hydrogen Temperatures, Thesis, Leiden Univ. (16 Mar. 1960). [Google Scholar]
- [16].Brickwedde F. G., Report on the Conference Agreement on the Helium Vapor-Pressure Scale of Temperatures, Conf. Physique des Basses Temperatures, Paris, 2–8 Septembre 1955, pp. 608–610. [Google Scholar]
- [17].Bleaney B. and Simon F., Trans. Faraday Soc. 35, 1205 (1939). [Google Scholar]
- [18].Bleaney B. and Hull R. A., Proc. Roy. Soc. (London) 178A, 74 (1941). [Google Scholar]
- [19].de Boer J. and Cohen E. G. D., Physica 17, 993 (1951). [Google Scholar]
- [20].Becker E. W. and Misenta R., Phys. Rev. 93, 244 (1954). [Google Scholar]
- [21].Becker E. W., Misenta R., and Schmeissner F., Z. Physik 137, 126 (1954). [Google Scholar]
- [22].Mendelssohn K. and White G. K., Proc. Phys. Soc. (London) A63, 1328 (1950). [Google Scholar]
- [23].Bowers R. and Mendelssohn K., Nature 163, 870 (1949); [DOI] [PubMed] [Google Scholar]; Proc. Phys. Soc. (London) A63, 1318 (1950). [Google Scholar]
- [24].Taconis K. W., Progress in Low Temperature Physics, ed. Gorter C. J. (North Holland Publ. Co., Amsterdam, The Netherlands, 1961), Vol. 3, p. 154. [Google Scholar]
- [25].van Dijk H. and Durieux M., Physica 24, 1 (1958). [Google Scholar]
- [26].Sydoriak S. G. and Sommers H. S. Jr., Rev. Sci. Instr. 22, 915 (1951). [Google Scholar]
- [27].Kapitza P., Phys J.. (U.S.S.R.) 4, 181 (1941). [Google Scholar]
- [28].Fairbank H. A. and Wilks J., Proc. Roy. Soc. (London) A231, 545 (1955). [Google Scholar]
- [29].ChalKs L. J., Dransfeld K., and Wilks J., Proc. Roy. Soc. (London) A260, 31 (1961). [Google Scholar]
- [30].Kuang Wey-Yen Zh. Experim. i Teor. Fiz. (U.S.S.R.) 42, 921 (1962); [Google Scholar]; Soviet Phys. JETP (English Transl.) 15, 635 (1962). [Google Scholar]
- [31].Khalatnikov I.M., Zh. Experim. i Teor. Fiz. (U.S.S.R.) 22, 687(1952). [Google Scholar]
- [32].Sydoriak S. G. and Roberts T. R., Phys. Rev. 118 901 (1960) [Google Scholar]
- [33].Mills R. L., Grilly E.R., and Sydoriak S. G., Ann. Phys. 12, 41 (1961). [Google Scholar]
- [34].Cawood W. and Patterson H. S., Trans. Faraday Soc. 29, 522 (1933). [Google Scholar]
- [35].Kistemaker J., Leiden Commun. 268d (1944); [Google Scholar]; Physica 11, 277 (1944–1946); [Google Scholar]; Blaisdell B. E., J. Math. Phys. 19, 186 (1940). [Google Scholar]
- [36].Brombacher W. G., Johnson D. P., and Cross J. L., Mercury Barometers and Manometers, NBS Mono. 8 (U.S. Govt. Printing Office, Washington, 1960). [Google Scholar]
- [37].Roberts T. R. and Sydoriak S. G., Phys. Rev. 102, 304 (1956). [Google Scholar]
- [38].Esel’son B. N. and Berezniak N. G., Zh. Experim. i Teor. Fiz. (U.S.S.R.) 30, 628 (1956); [Google Scholar]; Soviet Phys. JETP (English Transl.) 3, 568 (1956). [Google Scholar]
- [39].Sydoriak S. G., Grilly E. R., and Hammel E. F., Phys. Rev. 75, 303 (1949). [Google Scholar]
- [40].Peshkov V. P., Zh. Experim. i Teor. Fiz. (U.S.S.R.) 33, 833 (1957); [Google Scholar]; Soviet Phys. JETP (English Transl.) 4, 645 (1958). [Google Scholar]
- [41].van Dijk H. and Shoenberg D., Nature 164, 151 (1949). [Google Scholar]
- [42].Chen T. C. and London F., Phys. Rev. 89, 1038 (1953). [Google Scholar]
- [43].Keller W. E., Nature 178, 883 (1956); [Google Scholar]; Clement J. R., Low Temperature Physics and Chemistry (Univ. of Wisconsin Press, Madison, 1958), p. 187* [Google Scholar]; (Proc. 5th Intern. Conf. Low Temperature Physics and Chemistry, Madison, Wis, 1957). [Google Scholar]
- [44].Goldstein L., Phys. Rev. 96, 1455 (1954); [Google Scholar]; Phys. Rev. 102, 1205 (1956). [Google Scholar]
- [45].Sherman R. H., Roberts T. R., and Sydoriak S. G., Supplement au Bulletin de Tlnstitut International du Froid, Annexe 1961-5, p. 125 [Google Scholar]; (Proc. Meeting of Commission I of the International Institute of Refrigeration, London, 1961). [Google Scholar]
- [46].Sydoriak S. G. and Sherman R. H., Paper I of this series.
- [47].Deming W. E., Statistical Adjustment of Data (John Wiley & Sons, New York, 1943). [Google Scholar]
- [48].Roberts T. R., Sydoriak S. G., and Sherman R. H.,; see ref. [45], p. 115.
- [49].Grilly E. R. and Hammel E. F., Progress in Low Temperature Physics III (1961), pp. 113–152. [Google Scholar]
- [50].Kerr E. C. and Taylor R. D., Proc. 7th Intern. Conf. Low Temperature Physics, ch. 24, pp. 605–608, [Google Scholar]; ed. Graham G. M. and Hollis-Hallett A. C. (Univ. of Toronto Press, Toronto, 1961). [Google Scholar]
- [51].Sherman R. H. and Edeskuty F. J., Ann. Phys. 9, 522 (1960). [Google Scholar]
- [52].Roberts T. R., Sherman R. H., Sydoriak S. G., and Brickwedde F. G., Progress in Low Temperature Physics IV, ch. 10 (North Holland Publ. Co, Amsterdam, The Netherlands, 1964), p. 480. [Google Scholar]
- [53].Mood A. M., Introduction to the Theory of Statistics, p. 299, (McGraw-Hill, New York, N.Y., 1950). [Google Scholar]
- [54].Durieux M., Proces-Verbaux du Comite Consultatif de Thermometrie aupres du Comite International des Poids et Mesures, 6e Session, 1962 (Gauthier-Villars, Paris, France, 1964), p. 190. [Google Scholar]
- [55].Osborne D. W., private communication.
- [56].Berman R. and Mate C. F., Phil. Mag. 3, 461 (1958). [Google Scholar]
- [57].van Dijk H., Progr. Cryog. 2, p. 125 (Academic Press,Inc., New York, N.Y., 1962). [Google Scholar]
- [58].Cataland G. and Plumb H. H., Proc. 8th Intern. Conf. Low Temperature Physics, London, Sept. 16–22, 1962, [Google Scholar]; ed Davies R. O. (Butterworths, Washington, D.C., 1963), pp. 439–40. [Google Scholar]
- [59].Kerr E. C., Phys. Rev. 96, 551 (1954). [Google Scholar]
- [60].Kerr E. C. and Taylor R. D., Ann. Phys. 20, 450 (1962). [Google Scholar]
- [61].Anderson A. C., Salinger G. L., Steyert W. A., and Wheatley J. C., Phys. Rev. Letters 6, 331 (1961); [Google Scholar]; Anderson A. C., Reese W., and Wheatley J. C., Phys. Rev. 130, 495 (1963). [Google Scholar]
- [62].Strongin M., Zimmerman G. O., and Fairbank H. A., Phys. Rev. 128, 1983 (1962). [Google Scholar]
- [63].Abraham B. M., Osborne D. W., and Weinstock B., Phys. Rev. 98, 551 (1955). [Google Scholar]
- [64].Grove G. R. and Haubach W. J. Jr.;; see ref. [58], p. 441. For further information, write Gaseous Isotope Sales, Monsanto Research Corporation, Mound Laboratory, Miamisburg, Ohio.
- [65].Edwards D. O. and Daunt J. G., Phys. Rev. 124, 640 (1961). [Google Scholar]
- [66].Sydoriak S. G., Roberts T. R., and Sherman R. H.;; see ref. [58], pp. 437–8.
- [67].Hall J. A., Sixieme Rapport du Comite Consultatif de Thermometrie au Comite International des Poids et Mesures;; see ref. [54].
- [68].Stimson H. F., NBS Tech. News Bull. 47, No. 2, 30 (February 1963); [Google Scholar]; Nature 197, 1055 (1963). [Google Scholar]
- [69].Brickwedde F. G., Phys. Today 16, 24 (1963). [Google Scholar]
- [70].Weber S., Commun. Kamerlingh Onnes Lab. Univ. Leiden Suppl. 71b (1932), 264b and 264d (1936). [Google Scholar]
- [71].Weber S. and Schmidt G., Commun. Kamerlingh Onnes Lab. Univ. Leiden 264c (1936). [Google Scholar]
- [72].Chase C. E., Maxwell E., and Whitney W. M., Physica 26, 160 (1960); [Google Scholar]; Chase C. E., Maxwell E., and Millett W. E., Physica 27, 1129 (1961). [Google Scholar]
- [73].Moore R. H. and Zeigler R. K., Trans. Am. Nuclear Soc. 1, 128–9 (1958); [Google Scholar]; The Solution of the General Least Squares Problem with Special Reference to High-Speed Computers, Los Alamos Scientific Lab. Rept; LA-2367 (Mar. 4, 1960). [Google Scholar]
- [74].Roberts T. R. and Swartz B. K., Proc. 2d Symp. Liquid and Solid Helium Three, ed. Daunt J. G. (Ohio State Univ. Press, Columbus, 1960), p. 163. [Google Scholar]