#FIG 3.2 Portrait Flush left Metric A4 100.00 Single -2 1200 2 6 990 540 10350 13815 6 1080 765 10260 13545 6 1125 2295 5985 6525 6 1140 2311 5977 6517 6 2846 2519 4318 2757 2 4 0 1 0 7 2 0 20 0.000 0 0 7 0 0 5 4318 2757 2846 2757 2846 2519 4318 2519 4318 2757 4 1 0 1 0 0 11 0.0000 4 150 1035 3588 2697 The Target Setup\001 -6 6 3976 3140 5887 6348 6 4011 3444 5799 6348 2 5 0 1 0 -1 2 0 -1 0.000 0 0 -1 0 0 5 0 cellfigure.eps 4011 5349 5796 5349 5796 6343 4011 6343 4011 5349 2 2 0 1 0 7 3 0 20 0.000 0 0 -1 0 0 5 4011 5350 5799 5350 5799 6348 4011 6348 4011 5350 2 5 0 1 0 -1 2 0 -1 0.000 0 0 -1 0 0 5 0 cell.ps 4013 3444 5799 3444 5799 5298 4013 5298 4013 3444 -6 6 4162 3140 5575 3355 2 4 0 1 0 7 2 0 20 0.000 0 0 7 0 0 5 5575 3355 4162 3355 4162 3140 5575 3140 5575 3355 4 1 0 1 0 0 10 0.0000 4 135 1035 4860 3295 The Storage Cell\001 -6 2 2 0 0 0 11 0 0 20 0.000 0 0 -1 0 0 5 3976 3376 5887 3376 5887 3577 3976 3577 3976 3376 -6 6 1321 4974 3935 6340 2 5 0 1 0 -1 0 0 -1 0.000 0 0 -1 0 0 5 0 target4.eps 1321 4974 3935 4974 3935 6340 1321 6340 1321 4974 -6 2 4 0 1 0 11 6 0 20 0.000 0 0 7 0 0 5 5977 2311 1140 2311 1140 6517 5977 6517 5977 2311 2 2 0 0 0 7 4 0 20 0.000 0 0 -1 0 0 5 1321 2955 3939 2955 3939 4898 1321 4898 1321 2955 2 2 0 0 0 7 4 0 20 0.000 0 0 -1 0 0 5 1321 4975 3940 4975 3940 6347 1321 6347 1321 4975 -6 2 5 0 1 0 -1 0 0 -1 0.000 0 0 -1 0 0 5 1 hdtarget3.ps 1295 2950 3930 2950 3930 4898 1295 4898 1295 2950 -6 6 1260 7560 4275 10170 2 5 0 1 0 -1 2 0 -1 0.000 0 0 -1 0 0 5 0 targpol.ps 1274 7560 4275 7560 4275 10150 1274 10150 1274 7560 2 2 0 0 0 7 3 0 20 0.000 0 0 -1 0 0 5 1260 7560 4275 7560 4275 10170 1260 10170 1260 7560 -6 6 4545 7560 8190 9360 6 4545 8100 5805 9360 6 4545 8100 5805 9360 2 5 0 1 0 -1 2 0 -1 0.000 0 0 -1 0 0 5 0 zweisc.eps 4545 8100 5805 8100 5805 9353 4545 9353 4545 8100 2 2 0 0 0 7 3 0 20 0.000 0 0 -1 0 0 5 4545 8100 5805 8100 5805 9360 4545 9360 4545 8100 -6 -6 4 0 0 0 0 0 6 0.0000 4 120 3465 4545 7650 The atomic fraction e.g. depends on the recombination probability per\001 4 0 0 0 0 0 6 0.0000 4 120 3615 4545 7800 wallbounce. More different surface properties allow more sophisticated\001 4 0 0 0 0 0 6 0.0000 4 120 2280 4545 7950 models for the relevant sampling corrections.\001 4 0 0 0 0 0 6 0.0000 4 105 1845 5940 8385 deviding the cell into beamtube with\001 4 0 0 0 0 0 6 0.0000 4 105 1605 5940 8685 from the one of the sampletube.\001 4 0 0 0 0 0 6 0.0000 4 120 1905 5940 8535 a recombination probability decoupled\001 4 0 0 0 0 0 6 0.0000 4 105 1845 5940 8235 Example for two decoupled surfaces\001 4 0 0 0 0 0 6 0.0000 4 120 1515 5940 8910 By keeping the recombination \001 4 0 0 0 0 0 6 0.0000 4 120 1650 5940 9210 and varying the other one derives\001 4 0 0 0 0 0 6 0.0000 4 90 840 5940 9360 these two limits.\001 4 0 0 0 0 0 6 0.0000 4 120 1650 5940 9060 probability of one surface at zero\001 -6 6 7785 9720 9990 10485 6 8055 10080 9450 10485 6 8820 10260 9180 10395 4 0 0 0 0 0 8 0.0000 4 105 345 8820 10350 (1-r )\001 4 0 0 0 0 0 4 0.0000 4 75 60 9045 10395 k\001 -6 2 1 0 1 0 11 0 0 -1 0.000 0 0 -1 0 0 5 8595 10215 8505 10215 8550 10305 8505 10395 8595 10395 2 1 0 1 0 7 0 0 -1 0.000 0 0 -1 0 0 2 8730 10215 8730 10395 2 1 0 1 0 7 0 0 -1 0.000 0 0 -1 0 0 2 8775 10215 8775 10395 2 1 0 1 0 7 0 0 -1 0.000 0 0 -1 0 0 2 8685 10215 8820 10215 4 0 0 0 0 0 8 0.0000 4 105 465 8055 10350 n (z)= -\001 4 0 0 0 0 0 6 0.0000 4 60 60 8415 10395 n\001 4 0 0 0 0 0 6 0.0000 4 75 60 8415 10305 1\001 4 0 0 0 0 0 6 0.0000 4 90 165 8505 10485 i=1\001 4 0 0 0 0 0 6 0.0000 4 75 195 8685 10485 k=1\001 4 1 0 0 0 0 6 0.0000 4 60 45 8145 10395 a\001 4 1 0 0 0 0 6 0.0000 4 60 60 8550 10170 n\001 4 1 0 0 0 0 6 0.0000 4 75 120 8730 10170 32\001 4 0 0 0 0 0 6 0.0000 4 105 300 9135 10260 C (z)\001 4 1 0 0 0 0 4 0.0000 4 75 60 9225 10305 k\001 4 1 0 0 0 0 4 0.0000 4 90 30 9225 10215 i\001 -6 4 0 0 0 0 0 8 0.0000 4 120 2190 7785 9810 The atomic fraction in one part z of the cell\001 4 0 0 0 0 0 8 0.0000 4 120 1500 7785 9990 is determined by the function:\001 -6 6 1350 13050 3105 13275 4 0 0 1 0 0 7 0.0000 4 120 1725 1350 13140 Sampletube properties are staying \001 4 0 0 1 0 0 7 0.0000 4 90 960 1350 13275 constant over time.\001 -6 6 3375 11115 5310 11385 2 4 0 1 0 7 2 0 20 0.000 0 0 7 0 0 5 5282 11347 3375 11347 3375 11115 5282 11115 5282 11347 4 1 0 1 0 0 10 0.0000 4 135 1380 4291 11280 Restricting the Limits\001 -6 6 3555 13050 5265 13320 4 0 0 1 0 0 7 0.0000 4 90 1710 3555 13140 Measured data used to restrict the\001 4 0 0 1 0 0 7 0.0000 4 120 1710 3555 13275 limits of the sampling corrections.\001 -6 6 5535 11340 7830 11880 4 0 0 1 0 0 7 0.0000 4 120 2295 5535 11430 The stability of the sampletube properties and\001 4 0 0 1 0 0 7 0.0000 4 105 2265 5535 11565 the high measured data can be used to restrict\001 4 0 0 1 0 0 7 0.0000 4 120 2265 5535 11700 the possible scenarios to an upper limit much \001 4 0 0 1 0 0 7 0.0000 4 120 1635 5535 11835 lower than the sampletube limit.\001 -6 6 5535 12015 6848 13275 2 5 0 1 0 -1 0 0 -1 0.000 0 0 -1 0 0 5 0 obunalpha.eps 5535 12015 6848 12015 6848 13275 5535 13275 5535 12015 2 2 0 0 0 7 1 0 20 0.000 0 0 -1 0 0 5 5535 12015 6848 12015 6848 13275 5535 13275 5535 12015 -6 6 6930 12600 7875 12870 6 6930 12645 7200 12825 4 0 0 1 0 0 9 0.0000 4 75 60 6930 12780 c\001 4 0 0 1 0 32 7 0.0000 4 60 90 6975 12825 a\001 4 1 0 1 0 0 5 0.0000 4 60 210 7065 12735 max\001 -6 6 7560 12735 7875 12870 4 0 0 1 0 32 7 0.0000 4 60 90 7560 12870 a\001 4 0 0 1 0 0 5 0.0000 4 75 255 7605 12825 TGA\001 -6 2 1 0 1 0 7 1 0 20 0.000 0 0 -1 0 0 2 7560 12735 7785 12735 4 0 0 1 0 0 9 0.0000 4 105 420 7155 12780 =1.4 -\001 4 0 0 1 0 0 8 0.0000 4 75 210 7560 12690 0.37\001 -6 6 6930 12960 7920 13230 6 7605 13095 7920 13230 4 0 0 1 0 32 7 0.0000 4 60 90 7605 13230 a\001 4 0 0 1 0 0 5 0.0000 4 75 255 7650 13185 TGA\001 -6 2 1 0 1 0 7 1 0 20 0.000 0 0 -1 0 0 2 7605 13095 7830 13095 4 0 0 1 0 0 9 0.0000 4 75 60 6930 13140 c\001 4 0 0 1 0 32 7 0.0000 4 60 90 6975 13185 a\001 4 1 0 1 0 0 5 0.0000 4 90 180 7065 13095 min\001 4 0 0 1 0 0 9 0.0000 4 105 495 7155 13140 =1.65 -\001 4 0 0 1 0 0 8 0.0000 4 75 210 7605 13050 0.65\001 -6 6 5310 10125 7245 10485 4 0 0 3 0 0 6 0.0000 4 120 1020 5310 10320 i: number of particle\001 4 0 0 3 0 0 6 0.0000 4 105 1410 5310 10215 C: collision age on surface k\001 4 0 0 3 0 0 6 0.0000 4 120 1935 5310 10440 z: surface, where particle hits the wall\001 -6 6 7973 11372 9987 13402 2 5 0 1 0 -1 2 0 -1 0.000 0 0 -1 0 0 5 0 magfit.eps 7973 12531 9985 12531 9985 13402 7973 13402 7973 12531 2 5 0 1 0 -1 0 0 -1 0.000 0 0 -1 0 0 5 0 hydrogen_rec.eps 7975 11372 9987 11372 9987 12452 7975 12452 7975 11372 -6 6 6930 2520 9360 2790 2 4 0 1 0 7 2 0 20 0.000 0 0 8 0 0 5 9360 2790 6930 2790 6930 2520 9360 2520 9360 2790 4 1 0 1 0 0 12 0.0000 4 135 1950 8148 2715 Monte Carlo - 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Henoch\001 4 1 0 1 0 0 12 0.0000 4 180 1605 5445 7197 Sampling Corrections\001 4 1 0 1 0 2 13 0.0000 4 150 5895 5678 1061 SYSTEMATIC STUDIES ON SAMPLING CORRECTIONS FOR\001 4 0 0 0 0 0 5 1.5708 4 105 1860 1440 12600 atomic flux into the TGA in kHz/mA\001 4 0 0 0 0 0 5 0.0000 4 105 1845 1800 12915 atomic flux into the BRP in kHz/mA\001 4 0 0 1 0 0 7 0.0000 4 90 1035 6930 12285 0.7 and 1.0 the limits\001 4 0 0 1 0 0 7 0.0000 4 120 765 6930 12420 can be linearly \001 4 0 0 1 0 0 7 0.0000 4 120 855 6930 12555 approximated by:\001 4 0 0 1 0 0 7 0.0000 4 75 180 6930 12150 For\001 4 0 0 1 0 0 7 0.0000 4 75 435 7335 12150 between\001 4 0 0 1 0 0 5 0.0000 4 75 255 7155 12105 TGA\001 4 0 0 1 0 32 7 0.0000 4 60 90 7110 12150 a\001 4 0 0 0 0 0 8 0.0000 4 120 2835 4590 10035 Information stored in LPH-files (local particle history):\001 4 0 0 3 0 0 6 0.0000 4 90 30 4860 10260 i\001 4 0 0 3 0 0 6 0.0000 4 75 60 4860 10395 k\001 4 0 0 3 0 0 8 0.0000 4 105 300 4770 10350 C (z)\001 4 0 0 0 0 0 8 0.0000 4 120 2790 4590 9675 To analyse arbitrary scenarios, the cell has been devided\001 4 0 0 0 0 0 8 0.0000 4 90 2445 4590 9825 into 32 slices for the Monte Carlo - Simulation.\001 4 1 0 1 0 0 10 0.0000 4 135 1515 8791 7365 Sensitivity of Analyzers\001 4 1 0 0 0 0 10 0.0000 4 105 315 8235 8910 TGA\001 4 1 0 0 0 0 10 0.0000 4 105 285 9450 8910 BRP\001 4 0 0 0 0 0 8 0.0000 4 105 1800 7740 9225 center of the cell (k=11) than to its\001 4 0 0 0 0 0 8 0.0000 4 105 1050 7740 9360 edges (k=0 or k=20).\001 4 0 0 0 0 0 8 0.0000 4 120 1995 7740 9090 Both analyzers are more sensitive to the\001 4 1 0 1 0 0 10 0.0000 4 135 2040 8970 11278 Recombination & Depolarization\001 4 0 0 0 0 0 6 0.0000 4 120 1020 6480 5400 The pressure profile\001 4 0 0 0 0 0 6 0.0000 4 90 975 6480 5535 along the beamtube\001 4 0 0 0 0 0 6 0.0000 4 90 960 6480 5670 as derived from the\001 4 0 0 0 0 0 6 0.0000 4 75 915 6480 5805 Monte Carlo data.\001 4 0 0 0 0 0 6 0.0000 4 120 915 6480 6345 diffusion equation.\001 4 0 0 0 0 0 6 0.0000 4 90 990 6480 6210 tical solution of the\001 4 0 0 0 0 0 6 0.0000 4 120 975 6480 6075 agrees with analy -\001 4 0 0 0 0 0 6 0.0000 4 120 810 6480 5940 Triangular shape\001 4 0 0 1 0 0 6 0.0000 4 75 540 8325 8145 at cell end\001 4 0 0 1 0 0 6 0.0000 4 60 435 8325 8055 non zero\001 -6 2 2 0 0 0 31 10 0 26 0.000 1 0 -1 0 0 5 990 555 10343 555 10343 13808 990 13808 990 555 -6