SILICON: Difference between revisions

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SILICON is only useful if SENSOR_THICKNESS is also specified. For the Pilatus detector, the value to be used can usually be obtained from the frame header. For CCD detectors, a typical value of SENSOR_THICKNESS is 0.031, and the SILICON= values in the table are correct for that.
SILICON is only useful if SENSOR_THICKNESS is also specified. For the Pilatus detector, the value to be used can usually be obtained from the frame header. For CCD detectors, a typical value of SENSOR_THICKNESS is 0.031, and the SILICON= values in the table are correct for that.


Thanks to James Holton and Jason Price for coming up with the SENSOR_THICKNESS value of 0.031, and the table of SILICON= values!  
Thanks to James Holton and Jason Price for coming up (by actually measuring it) with the SENSOR_THICKNESS value of 0.031, and the table of SILICON= values! The latter assumes that 40% of the 0.031 mm is air, and uses http://henke.lbl.gov/optical_constants/atten2.html and the chemical formula Gd2O2S.


[[File:GADOX0.031-graph.png]]
[[File:GADOX0.031-graph.png]]

Revision as of 09:29, 11 December 2012

SILICON= tells XDS what the absorption coefficient of the detector material is. This needs to be known for two reasons:

  1. in case of oblique incidence of diffracted x-rays on the detector, the path through the detector's absorbing material is longer than for vertical incidence, so more x-rays are absorbed
  2. in that situation, the center of gravity of the absorbed x-rays is not at the same position as for an infinitely thin detector, so a positional correction is required

Both corrections are usually only required at very high resolution, or rather, high two-theta.

Actually, if the detector material is silicon, the absorption coefficient is calculated internally within XDS, thus SILICON= is not required. If however the detector material is GADOX (gadolinium oxysulphide, as used e.g. for ADSC and Mar/Rayonix CCD detectors), then the absorption coefficient can be obtained from the table below, and should be entered manually into the line that has SILICON= in XDS.INP (if required, after uncommenting that line).

SILICON is only useful if SENSOR_THICKNESS is also specified. For the Pilatus detector, the value to be used can usually be obtained from the frame header. For CCD detectors, a typical value of SENSOR_THICKNESS is 0.031, and the SILICON= values in the table are correct for that.

Thanks to James Holton and Jason Price for coming up (by actually measuring it) with the SENSOR_THICKNESS value of 0.031, and the table of SILICON= values! The latter assumes that 40% of the 0.031 mm is air, and uses http://henke.lbl.gov/optical_constants/atten2.html and the chemical formula Gd2O2S.

GADOX0.031-graph.png

eV       SILICON=
4000  257.118  
4016.02  254.54  
4032.03  251.997 
4048.05  249.488 
4064.06  247.013 
4080.08  244.572 
4096.1  242.163 
4112.11  239.786 
4128.13  237.44 
4144.14  235.126 
4160.16  232.842 
4176.18  230.588 
4192.19  228.363 
4208.21  226.168 
4224.22  224.001 
4240.24  221.862 
4256.26  219.751 
4272.27  217.667 
4288.29  215.61 
4304.3  213.579 
4320.32  211.574 
4336.34  209.595 
4352.35  207.64 
4368.37  205.711 
4384.38  203.805 
4400.4  201.924 
4416.42  200.066 
4432.43  198.231 
4448.45  196.419 
4464.46  194.629 
4480.48  192.862 
4496.5  191.116 
4512.51  189.392 
4528.53  187.688 
4544.54  186.006 
4560.56  184.344 
4576.58  182.702 
4592.59  181.08 
4608.61  179.477 
4624.62  177.894 
4640.64  176.33 
4656.66  174.784 
4672.67  173.257 
4688.69  171.747 
4704.7  170.256 
4720.72  168.782 
4736.74  167.326 
4752.75  165.886 
4768.77  164.464 
4784.78  163.058 
4800.8  161.668 
4816.82  160.294 
4832.83  158.936 
4848.85  157.594 
4864.86  156.267 
4880.88  154.955 
4896.9  153.659 
4912.91  152.377 
4928.93  151.109 
4944.94  149.856 
4960.96  148.617 
4976.98  147.392 
4992.99  146.18 
5009.01  144.982 
5025.03  143.798 
5041.04  142.626 
5057.06  141.468 
5073.07  140.322 
5089.09  139.189 
5105.11  138.068 
5121.12  136.959 
5137.14  135.863 
5153.15  134.779 
5169.17  133.706 
5185.19  132.645 
5201.2  131.595 
5217.22  130.557 
5233.23  129.53 
5249.25  128.513 
5265.27  127.508 
5281.28  126.513 
5297.3  125.529 
5313.31  124.555 
5329.33  123.591 
5345.35  122.638 
5361.36  121.694 
5377.38  120.761 
5393.39  119.837 
5409.41  118.923 
5425.43  118.018 
5441.44  117.122 
5457.46  116.236 
5473.47  115.359 
5489.49  114.491 
5505.51  113.632 
5521.52  112.781 
5537.54  111.939 
5553.55  111.106 
5569.57  110.281 
5585.59  109.464 
5601.6  108.656 
5617.62  107.856 
5633.63  107.063 
5649.65  106.279 
5665.67  105.503 
5681.68  104.734 
5697.7  103.972 
5713.71  103.219 
5729.73  102.472 
5745.75  101.733 
5761.76  101.001 
5777.78  100.277 
5793.79  99.5592 
5809.81  98.8486 
5825.83  98.1448 
5841.84  97.4479 
5857.86  96.7577 
5873.87  96.0741 
5889.89  95.397 
5905.91  94.7264 
5921.92  94.0623 
5937.94  93.4044 
5953.95  92.7528 
5969.97  92.1073 
5985.99  91.4679 
6002  90.8346 
6018.02  90.2072 
6034.03  89.5856 
6050.05  88.9699 
6066.07  88.3599 
6082.08  87.7556 
6098.1  87.1568 
6114.11  86.5637 
6130.13  85.9759 
6146.15  85.3936 
6162.16  84.8166 
6178.18  84.245 
6194.19  83.6785 
6210.21  83.1172 
6226.23  82.561 
6242.24  82.0098 
6258.26  81.4636 
6274.27  80.9223 
6290.29  80.3859 
6306.31  79.8543 
6322.32  79.3275 
6338.34  78.8054 
6354.35  78.2879 
6370.37  77.775 
6386.39  77.2667 
6402.4  76.7629 
6418.42  76.2635 
6434.43  75.7685 
6450.45  75.2778 
6466.47  74.7914 
6482.48  74.3093 
6498.5  73.8314 
6514.51  73.3577 
6530.53  72.888 
6546.55  72.4224 
6562.56  71.9608 
6578.58  71.5033 
6594.59  71.0496 
6610.61  70.5998 
6626.63  70.1539 
6642.64  69.7117 
6658.66  69.2734 
6674.67  68.8387 
6690.69  68.4078 
6706.71  67.9804 
6722.72  67.5567 
6738.74  67.1366 
6754.75  66.7199 
6770.77  66.3068 
6786.79  65.8971 
6802.8  65.4908 
6818.82  65.0879 
6834.83  64.6883 
6850.85  64.2921 
6866.87  63.8991 
6882.88  63.5093 
6898.9  63.1228 
6914.91  62.7394 
6930.93  62.3592 
6946.95  61.982 
6962.96  61.6079 
6978.98  61.2369 
6994.99  60.8689 
7011.01  60.5038 
7027.03  60.1417 
7043.04  59.7826 
7059.06  59.4263 
7075.08  59.0728 
7091.09  58.7222 
7107.11  58.3744 
7123.12  58.0293 
7139.14  57.687 
7155.16  57.3474 
7171.17  57.0105 
7187.19  56.6763 
7203.2  56.3446 
7219.22  56.0156 
7235.24  55.6892 
7251.25  143.264 
7267.27  142.448 
7283.28  141.639 
7299.3  140.836 
7315.32  140.04 
7331.33  139.25 
7347.35  138.466 
7363.36  137.688 
7379.38  136.916 
7395.4  136.15 
7411.41  135.39 
7427.43  134.636 
7443.44  133.887 
7459.46  133.145 
7475.48  132.408 
7491.49  131.677 
7507.51  130.951 
7523.52  130.231 
7539.54  129.516 
7555.56  128.807 
7571.57  128.103 
7587.59  127.405 
7603.6  126.711 
7619.62  126.023 
7635.64  125.34 
7651.65  124.663 
7667.67  123.99 
7683.68  123.322 
7699.7  122.659 
7715.72  122.002 
7731.73  121.349 
7747.75  120.701 
7763.76  120.057 
7779.78  119.419 
7795.8  118.785 
7811.81  118.156 
7827.83  117.531 
7843.84  116.911 
7859.86  116.296 
7875.88  115.685 
7891.89  115.078 
7907.91  114.476 
7923.92  113.878 
7939.94  153.507 
7955.96  152.74 
7971.97  151.978 
7987.99  151.221 
8004  150.47 
8020.02  149.724 
8036.04  148.983 
8052.05  148.248 
8068.07  147.517 
8084.08  146.792 
8100.1  146.071 
8116.12  145.355 
8132.13  144.645 
8148.15  143.939 
8164.16  143.238 
8180.18  142.542 
8196.2  141.85 
8212.21  141.163 
8228.23  140.481 
8244.24  139.804 
8260.26  139.131 
8276.28  138.462 
8292.29  137.798 
8308.31  137.139 
8324.32  136.484 
8340.34  135.833 
8356.36  135.187 
8372.37  134.545 
8388.39  154.206 
8404.4  153.476 
8420.42  152.75 
8436.44  152.029 
8452.45  151.313 
8468.47  150.6 
8484.48  149.892 
8500.5  149.188 
8516.52  148.488 
8532.53  147.793 
8548.55  147.101 
8564.56  146.414 
8580.58  145.731 
8596.6  145.052 
8612.61  144.377 
8628.63  143.706 
8644.64  143.039 
8660.66  142.376 
8676.68  141.717 
8692.69  141.062 
8708.71  140.411 
8724.72  139.764 
8740.74  139.12 
8756.76  138.48 
8772.77  137.844 
8788.79  137.212 
8804.8  136.584 
8820.82  135.959 
8836.84  135.338 
8852.85  134.721 
8868.87  134.107 
8884.88  133.497 
8900.9  132.89 
8916.92  132.288 
8932.93  131.688 
8948.95  131.092 
8964.96  130.5 
8980.98  129.911 
8997  129.325 
9013.01  128.743 
9029.03  128.165 
9045.05  127.589 
9061.06  127.017 
9077.08  126.449 
9093.09  125.884 
9109.11  125.322 
9125.13  124.763 
9141.14  124.207 
9157.16  123.655 
9173.17  123.106 
9189.19  122.56 
9205.21  122.017 
9221.22  121.478 
9237.24  120.941 
9253.25  120.408 
9269.27  119.877 
9285.29  119.35 
9301.3  118.826 
9317.32  118.305 
9333.33  117.786 
9349.35  117.271 
9365.37  116.759 
9381.38  116.249 
9397.4  115.743 
9413.41  115.239 
9429.43  114.738 
9445.45  114.24 
9461.46  113.745 
9477.48  113.253 
9493.49  112.764 
9509.51  112.277 
9525.53  111.793 
9541.54  111.312 
9557.56  110.833 
9573.57  110.358 
9589.59  109.885 
9605.61  109.414 
9621.62  108.946 
9637.64  108.481 
9653.65  108.019 
9669.67  107.559 
9685.69  107.101 
9701.7  106.647 
9717.72  106.194 
9733.73  105.745 
9749.75  105.297 
9765.77  104.853 
9781.78  104.41 
9797.8  103.971 
9813.81  103.533 
9829.83  103.098 
9845.85  102.666 
9861.86  102.236 
9877.88  101.808 
9893.89  101.383 
9909.91  100.96 
9925.93  100.539 
9941.94  100.121 
9957.96  99.7045 
9973.97  99.2907 
9989.99  98.8792 
10006  98.4699 
10022  98.0629 
10038  97.6581 
10054.1  97.2556 
10070.1  96.8552 
10086.1  96.457 
10102.1  96.061 
10118.1  95.6671 
10134.1  95.2754 
10150.2  94.8858 
10166.2  94.4983 
10182.2  94.1129 
10198.2  93.7296 
10214.2  93.3484 
10230.2  92.9692 
10246.2  92.5921 
10262.3  92.217 
10278.3  91.8439 
10294.3  91.4728 
10310.3  91.1037 
10326.3  90.7366 
10342.3  90.3715 
10358.4  90.0083 
10374.4  89.647 
10390.4  89.2877 
10406.4  88.9303 
10422.4  88.5748 
10438.4  88.2212 
10454.5  87.8695 
10470.5  87.5196 
10486.5  87.1716 
10502.5  86.8254 
10518.5  86.4811 
10534.5  86.1386 
10550.6  85.7979 
10566.6  85.459 
10582.6  85.1218 
10598.6  84.7865 
10614.6  84.4529 
10630.6  84.121 
10646.6  83.7909 
10662.7  83.4625 
10678.7  83.1359 
10694.7  82.8109 
10710.7  82.4876 
10726.7  82.1661 
10742.7  81.8461 
10758.8  81.5279 
10774.8  81.2113 
10790.8  80.8964 
10806.8  80.583 
10822.8  80.2713 
10838.8  79.9612 
10854.9  79.6528 
10870.9  79.3459 
10886.9  79.0405 
10902.9  78.7368 
10918.9  78.4346 
10934.9  78.134 
10951  77.8349 
10967  77.5373 
10983  77.2413 
10999  76.9467 
11015  76.6537 
11031  76.3622 
11047  76.0721 
11063.1  75.7835 
11079.1  75.4964 
11095.1  75.2107 
11111.1  74.9265 
11127.1  74.6438 
11143.1  74.3624 
11159.2  74.0825 
11175.2  73.804 
11191.2  73.5269 
11207.2  73.2512 
11223.2  72.9768 
11239.2  72.7039 
11255.3  72.4323 
11271.3  72.1621 
11287.3  71.8932 
11303.3  71.6257 
11319.3  71.3595 
11335.3  71.0946 
11351.4  70.831 
11367.4  70.5688 
11383.4  70.3079 
11399.4  70.0482 
11415.4  69.7899 
11431.4  69.5328 
11447.4  69.277 
11463.5  69.0224 
11479.5  68.7691 
11495.5  68.5171 
11511.5  68.2663 
11527.5  68.0167 
11543.5  67.7684 
11559.6  67.5212 
11575.6  67.2753 
11591.6  67.0306 
11607.6  66.7871 
11623.6  66.5448 
11639.6  66.3036 
11655.7  66.0636 
11671.7  65.8248 
11687.7  65.5872 
11703.7  65.3507 
11719.7  65.1153 
11735.7  64.8811 
11751.8  64.648 
11767.8  64.4161 
11783.8  64.1852 
11799.8  63.9555 
11815.8  63.7269 
11831.8  63.4994 
11847.8  63.2729 
11863.9  63.0476 
11879.9  62.8233 
11895.9  62.6002 
11911.9  62.378 
11927.9  62.157 
11943.9  61.937 
11960  61.718 
11976  61.5001 
11992  61.2832 
12008  61.0673 
12024  60.8525 
12040  60.6387 
12056.1  60.4259 
12072.1  60.2141 
12088.1  60.0033 
12104.1  59.7935 
12120.1  59.5847 
12136.1  59.3768 
12152.2  59.17 
12168.2  58.9641 
12184.2  58.7592 
12200.2  58.5552 
12216.2  58.3522 
12232.2  58.1501 
12248.2  57.949 
12264.3  57.7488 
12280.3  57.5496 
12296.3  57.3512 
12312.3  57.1538 
12328.3  56.9573 
12344.3  56.7618 
12360.4  56.5671 
12376.4  56.3733 
12392.4  56.1804 
12408.4  55.9884 
12424.4  55.7973 
12440.4  55.6071 
12456.5  55.4177 
12472.5  55.2293 
12488.5  55.0416 
12504.5  54.8549 
12520.5  54.669 
12536.5  54.4839 
12552.6  54.2997 
12568.6  54.1163 
12584.6  53.9338 
12600.6  53.7521 
12616.6  53.5712 
12632.6  53.3911 
12648.6  53.2119 
12664.7  53.0335 
12680.7  52.8558 
12696.7  52.679 
12712.7  52.503 
12728.7  52.3277 
12744.7  52.1533 
12760.8  51.9796 
12776.8  51.8068 
12792.8  51.6346 
12808.8  51.4633 
12824.8  51.2927 
12840.8  51.1229 
12856.9  50.9539 
12872.9  50.7856 
12888.9  50.6181 
12904.9  50.4513 
12920.9  50.2852 
12936.9  50.1199 
12953  49.9553 
12969  49.7915 
12985  49.6283 
13001  49.4659 
13017  49.3042 
13033  49.1433 
13049  48.983 
13065.1  48.8234 
13081.1  48.6646 
13097.1  48.5064 
13113.1  48.3489 
13129.1  48.1922 
13145.1  48.0361 
13161.2  47.8807 
13177.2  47.7259 
13193.2  47.5719 
13209.2  47.4185 
13225.2  47.2658 
13241.2  47.1137 
13257.3  46.9623 
13273.3  46.8116 
13289.3  46.6615 
13305.3  46.5121 
13321.3  46.3633 
13337.3  46.2152 
13353.4  46.0677 
13369.4  45.9208 
13385.4  45.7746 
13401.4  45.629 
13417.4  45.484 
13433.4  45.3396 
13449.4  45.1959 
13465.5  45.0528 
13481.5  44.9102 
13497.5  44.7683 
13513.5  44.627 
13529.5  44.4864 
13545.5  44.3463 
13561.6  44.2068 
13577.6  44.0679 
13593.6  43.9295 
13609.6  43.7918 
13625.6  43.6547 
13641.6  43.5181 
13657.7  43.3821 
13673.7  43.2467 
13689.7  43.1118 
13705.7  42.9776 
13721.7  42.8439 
13737.7  42.7107 
13753.8  42.5781 
13769.8  42.4461 
13785.8  42.3146 
13801.8  42.1837 
13817.8  42.0533 
13833.8  41.9234 
13849.8  41.7942 
13865.9  41.6654 
13881.9  41.5372 
13897.9  41.4095 
13913.9  41.2823 
13929.9  41.1557 
13945.9  41.0296 
13962  40.904 
13978  40.7789 
13994  40.6544 
14010  40.5304 
14026  40.4068 
14042  40.2838 
14058.1  40.1613 
14074.1  40.0393 
14090.1  39.9178 
14106.1  39.7968 
14122.1  39.6763 
14138.1  39.5563 
14154.2  39.4368 
14170.2  39.3177 
14186.2  39.1992 
14202.2  39.0811 
14218.2  38.9635 
14234.2  38.8464 
14250.3  38.7298 
14266.3  38.6136 
14282.3  38.4979 
14298.3  38.3827 
14314.3  38.2679 
14330.3  38.1537 
14346.3  38.0398 
14362.4  37.9265 
14378.4  37.8135 
14394.4  37.7011 
14410.4  37.5891 
14426.4  37.4775 
14442.4  37.3664 
14458.5  37.2557 
14474.5  37.1455 
14490.5  37.0357 
14506.5  36.9264 
14522.5  36.8175 
14538.5  36.709 
14554.6  36.601 
14570.6  36.4934 
14586.6  36.3862 
14602.6  36.2794 
14618.6  36.1731 
14634.6  36.0672 
14650.7  35.9617 
14666.7  35.8566 
14682.7  35.752 
14698.7  35.6477 
14714.7  35.5439 
14730.7  35.4404 
14746.7  35.3374 
14762.8  35.2348 
14778.8  35.1326 
14794.8  35.0308 
14810.8  34.9294 
14826.8  34.8283 
14842.8  34.7277 
14858.9  34.6275 
14874.9  34.5277 
14890.9  34.4282 
14906.9  34.3291 
14922.9  34.2305 
14938.9  34.1322 
14955  34.0343 
14971  33.9367 
14987  33.8396 
15003  33.7428 
15019  33.6464 
15035  33.5504 
15051.1  33.4547 
15067.1  33.3594 
15083.1  33.2645 
15099.1  33.1699 
15115.1  33.0757 
15131.1  32.9819 
15147.1  32.8884 
15163.2  32.7953 
15179.2  32.7025 
15195.2  32.6101 
15211.2  32.5181 
15227.2  32.4264 
15243.2  32.335 
15259.3  32.244 
15275.3  32.1534 
15291.3  32.063 
15307.3  31.9731 
15323.3  31.8834 
15339.3  31.7942 
15355.4  31.7052 
15371.4  31.6166 
15387.4  31.5283 
15403.4  31.4404 
15419.4  31.3527 
15435.4  31.2655 
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15467.5  31.0919 
15483.5  31.0056 
15499.5  30.9196 
15515.5  30.8339 
15531.5  30.7486 
15547.5  30.6636 
15563.6  30.5789 
15579.6  30.4945 
15595.6  30.4104 
15611.6  30.3266 
15627.6  30.2432 
15643.6  30.1601 
15659.7  30.0772 
15675.7  29.9947 
15691.7  29.9125 
15707.7  29.8306 
15723.7  29.749 
15739.7  29.6677 
15755.8  29.5867 
15771.8  29.506 
15787.8  29.4256 
15803.8  29.3455 
15819.8  29.2657 
15835.8  29.1861 
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15867.9  29.028 
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15899.9  28.8709 
15915.9  28.7929 
15931.9  28.7151 
15947.9  28.6376 
15964  28.5603 
15980  28.4834 
15996  28.4067 
16012  28.3304 
16028  28.2543 
16044  28.1784 
16060.1  28.1029 
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16108.1  27.8778 
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16140.1  27.7292 
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16204.2  27.435 
16220.2  27.3622 
16236.2  27.2896 
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16300.3  27.0017 
16316.3  26.9304 
16332.3  26.8593 
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16364.4  26.718 
16380.4  26.6476 
16396.4  26.5776 
16412.4  26.5078 
16428.4  26.4382 
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16460.5  26.2998 
16476.5  26.231 
16492.5  26.1624 
16508.5  26.0941 
16524.5  26.026 
16540.5  25.9581 
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16572.6  25.8231 
16588.6  25.756 
16604.6  25.6891 
16620.6  25.6224 
16636.6  25.5559 
16652.7  25.4897 
16668.7  25.4238 
16684.7  25.358 
16700.7  25.2925 
16716.7  25.2272 
16732.7  25.1621 
16748.7  25.0973 
16764.8  25.0327 
16780.8  24.9683 
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16812.8  24.8402 
16828.8  24.7765 
16844.8  24.713 
16860.9  24.6497 
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16924.9  24.3988 
16940.9  24.3366 
16957  24.2747 
16973  24.2129 
16989  24.1514 
17005  24.09 
17021  24.0289 
17037  23.968 
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17069.1  23.8468 
17085.1  23.7865 
17101.1  23.7264 
17117.1  23.6665 
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17197.2  23.3701 
17213.2  23.3114 
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17325.3  22.9062 
17341.3  22.8491 
17357.4  22.7922 
17373.4  22.7355 
17389.4  22.679 
17405.4  22.6226 
17421.4  22.5665 
17437.4  22.5105 
17453.5  22.4547 
17469.5  22.3991 
17485.5  22.3437 
17501.5  22.2885 
17517.5  22.2335 
17533.5  22.1786 
17549.5  22.124 
17565.6  22.0695 
17581.6  22.0152 
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17613.6  21.9071 
17629.6  21.8533 
17645.6  21.7997 
17661.7  21.7463 
17677.7  21.6931 
17693.7  21.64 
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17725.7  21.5344 
17741.7  21.4819 
17757.8  21.4296 
17773.8  21.3774 
17789.8  21.3253 
17805.8  21.2735 
17821.8  21.2218 
17837.8  21.1703 
17853.9  21.119 
17869.9  21.0678 
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17901.9  20.966 
17917.9  20.9153 
17933.9  20.8648 
17949.9  20.8144 
17966  20.7643 
17982  20.7143 
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18014  20.6147 
18030  20.5652 
18046  20.5158 
18062.1  20.4666 
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18094.1  20.3687 
18110.1  20.3199 
18126.1  20.2714 
18142.1  20.2229 
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18190.2  20.0786 
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18238.2  19.9357 
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18270.3  19.8412 
18286.3  19.7941 
18302.3  19.7473 
18318.3  19.7005 
18334.3  19.6539 
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18366.4  19.5612 
18382.4  19.5151 
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18414.4  19.4232 
18430.4  19.3775 
18446.4  19.332 
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18478.5  19.2413 
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18510.5  19.1512 
18526.5  19.1063 
18542.5  19.0616 
18558.6  19.0171 
18574.6  18.9727 
18590.6  18.9284 
18606.6  18.8842 
18622.6  18.8402 
18638.6  18.7964 
18654.7  18.7527 
18670.7  18.7091 
18686.7  18.6656 
18702.7  18.6223 
18718.7  18.5791 
18734.7  18.5361 
18750.8  18.4932 
18766.8  18.4504 
18782.8  18.4078 
18798.8  18.3653 
18814.8  18.3229 
18830.8  18.2806 
18846.8  18.2385 
18862.9  18.1966 
18878.9  18.1547 
18894.9  18.113 
18910.9  18.0714 
18926.9  18.0299 
18942.9  17.9886 
18959  17.9474 
18975  17.9063 
18991  17.8654 
19007  17.8245 
19023  17.7838 
19039  17.7433 
19055.1  17.7028 
19071.1  17.6625 
19087.1  17.6223 
19103.1  17.5822 
19119.1  17.5422 
19135.1  17.5024 
19151.2  17.4627 
19167.2  17.4231 
19183.2  17.3836 
19199.2  17.3443 
19215.2  17.3051 
19231.2  17.266 
19247.2  17.227 
19263.3  17.1881 
19279.3  17.1494 
19295.3  17.1107 
19311.3  17.0722 
19327.3  17.0338 
19343.3  16.9955 
19359.4  16.9574 
19375.4  16.9193 
19391.4  16.8814 
19407.4  16.8435 
19423.4  16.8058 
19439.4  16.7682 
19455.5  16.7308 
19471.5  16.6934 
19487.5  16.6561 
19503.5  16.619 
19519.5  16.582 
19535.5  16.545 
19551.6  16.5082 
19567.6  16.4715 
19583.6  16.435 
19599.6  16.3985 
19615.6  16.3621 
19631.6  16.3258 
19647.6  16.2897 
19663.7  16.2536 
19679.7  16.2177 
19695.7  16.1819 
19711.7  16.1462 
19727.7  16.1105 
19743.7  16.075 
19759.8  16.0396 
19775.8  16.0043 
19791.8  15.9691 
19807.8  15.934 
19823.8  15.8991 
19839.8  15.8642 
19855.9  15.8294 
19871.9  15.7947 
19887.9  15.7601 
19903.9  15.7257 
19919.9  15.6913 
19935.9  15.657 
19952  15.6229 
19968  15.5888 
19984  15.5548 
20000  15.521