Cylindrical mirror analyzer(CMA) with concentric electron gun Table 1 Auger transitions and values of parameters used in calculations of the backscattering factor _____________________________________________________________________________________ Kinetic energy Ionization energy Pure element Atomic number Auger transition (keV) (keV) _____________________________________________________________________________________ Ta 73 M_5N67N67 1.674 1.735 _____________________________________________________________________________________ Table 2 The backscattering factors for quantitative analysis by auger electron spectroscopy(AES) ____________________________________________________ Primary energy Incident angle (keV) (deg) Backscattering factor ____________________________________________________ 1.8 0. 0.92710 1.8 10. 0.92214 1.8 20. 0.91078 1.8 30. 0.88764 1.8 40. 0.84763 1.8 45. 0.81819 1.8 50. 0.78278 1.8 60. 0.69737 1.8 70. 0.57184 1.8 75. 0.48174 1.8 80. 0.36285 1.8 81. 0.33454 1.8 82. 0.30414 1.8 83. 0.27247 1.8 84. 0.23886 1.8 85. 0.19714 1.8 86. 0.16596 1.8 87. 0.12763 1.8 88. 0.08900 1.8 89. 0.05168 2.0 0. 1.22470 2.0 10. 1.21924 2.0 20. 1.20950 2.0 30. 1.18540 2.0 40. 1.14523 2.0 45. 1.11658 2.0 50. 1.08165 2.0 60. 0.98229 2.0 70. 0.81862 2.0 75. 0.69286 2.0 80. 0.51957 2.0 81. 0.47823 2.0 82. 0.43432 2.0 83. 0.38766 2.0 84. 0.33778 2.0 85. 0.28578 2.0 86. 0.23175 2.0 87. 0.17651 2.0 88. 0.12100 2.0 89. 0.06855 2.2 0. 1.38590 2.2 10. 1.38130 2.2 20. 1.37016 2.2 30. 1.34860 2.2 40. 1.30910 2.2 45. 1.28058 2.2 50. 1.24659 2.2 60. 1.14124 2.2 70. 0.95625 2.2 75. 0.81016 2.2 80. 0.60749 2.2 81. 0.55783 2.2 82. 0.50651 2.2 83. 0.45090 2.2 84. 0.39265 2.2 85. 0.33155 2.2 86. 0.26792 2.2 87. 0.20282 2.2 88. 0.13829 2.2 89. 0.07709 2.4 0. 1.50014 2.4 10. 1.49537 2.4 20. 1.48181 2.4 30. 1.46283 2.4 40. 1.42523 2.4 45. 1.39810 2.4 50. 1.36304 2.4 60. 1.25467 2.4 70. 1.05350 2.4 75. 0.89337 2.4 80. 0.67003 2.4 81. 0.61627 2.4 82. 0.55876 2.4 83. 0.49783 2.4 84. 0.43246 2.4 85. 0.36486 2.4 86. 0.29404 2.4 87. 0.22256 2.4 88. 0.15098 2.4 89. 0.08314 2.6 0. 1.58227 2.6 10. 1.58165 2.6 20. 1.56829 2.6 30. 1.54746 2.6 40. 1.51300 2.6 45. 1.48666 2.6 50. 1.45119 2.6 60. 1.33522 2.6 70. 1.13053 2.6 75. 0.95926 2.6 80. 0.72100 2.6 81. 0.66254 2.6 82. 0.60089 2.6 83. 0.53497 2.6 84. 0.46522 2.6 85. 0.39217 2.6 86. 0.31633 2.6 87. 0.23875 2.6 88. 0.16112 2.6 89. 0.08807 2.8 0. 1.64976 2.8 10. 1.64580 2.8 20. 1.63475 2.8 30. 1.61582 2.8 40. 1.58172 2.8 45. 1.55815 2.8 50. 1.52104 2.8 60. 1.40792 2.8 70. 1.19156 2.8 75. 1.01324 2.8 80. 0.76257 2.8 81. 0.70192 2.8 82. 0.63672 2.8 83. 0.56709 2.8 84. 0.49303 2.8 85. 0.41603 2.8 86. 0.33543 2.8 87. 0.24751 2.8 88. 0.17023 2.8 89. 0.09217 3.0 0. 1.70316 3.0 10. 1.70232 3.0 20. 1.69069 3.0 30. 1.67140 3.0 40. 1.63798 3.0 45. 1.61328 3.0 50. 1.57909 3.0 60. 1.46499 3.0 70. 1.24239 3.0 75. 1.05979 3.0 80. 0.79204 3.0 81. 0.73204 3.0 82. 0.66772 3.0 83. 0.59490 3.0 84. 0.51846 3.0 85. 0.43723 3.0 86. 0.35182 3.0 87. 0.26509 3.0 88. 0.17825 3.0 89. 0.09586 3.4 0. 1.78642 3.4 10. 1.78414 3.4 20. 1.77415 3.4 30. 1.75534 3.4 40. 1.72678 3.4 45. 1.70209 3.4 50. 1.66444 3.4 60. 1.55004 3.4 70. 1.32303 3.4 75. 1.13374 3.4 80. 0.86092 3.4 81. 0.79393 3.4 82. 0.72128 3.4 83. 0.64323 3.4 84. 0.56137 3.4 85. 0.47348 3.4 86. 0.37617 3.4 87. 0.28763 3.4 88. 0.19245 3.4 89. 0.10272 3.8 0. 1.84201 3.8 10. 1.84202 3.8 20. 1.83301 3.8 30. 1.81682 3.8 40. 1.78110 3.8 45. 1.76224 3.8 50. 1.72522 3.8 60. 1.61317 3.8 70. 1.38464 3.8 75. 1.19337 3.8 80. 0.91123 3.8 81. 0.84127 3.8 82. 0.76456 3.8 83. 0.68399 3.8 84. 0.59656 3.8 85. 0.50453 3.8 86. 0.40696 3.8 87. 0.30617 3.8 88. 0.20496 3.8 89. 0.10807 4.0 0. 1.86696 4.0 10. 1.86410 4.0 20. 1.85653 4.0 30. 1.83924 4.0 40. 1.80971 4.0 45. 1.78618 4.0 50. 1.75447 4.0 60. 1.63897 4.0 70. 1.41180 4.0 75. 1.21852 4.0 80. 0.93299 4.0 81. 0.86196 4.0 82. 0.78223 4.0 83. 0.70237 4.0 84. 0.61362 4.0 85. 0.51808 4.0 86. 0.41859 4.0 87. 0.31503 4.0 88. 0.21066 4.0 89. 0.11067 4.4 0. 1.90463 4.4 10. 1.90331 4.4 20. 1.89381 4.4 30. 1.88287 4.4 40. 1.84982 4.4 45. 1.82557 4.4 50. 1.79435 4.4 60. 1.68011 4.4 70. 1.45399 4.4 75. 1.26090 4.4 80. 0.97352 4.4 81. 0.89944 4.4 82. 0.82043 4.4 83. 0.73513 4.4 84. 0.64332 4.4 85. 0.54525 4.4 86. 0.44044 4.4 87. 0.33127 4.4 88. 0.22162 4.4 89. 0.11531 4.6 0. 1.91906 4.6 10. 1.91693 4.6 20. 1.90952 4.6 30. 1.89247 4.6 40. 1.86582 4.6 45. 1.84468 4.6 50. 1.81166 4.6 60. 1.69653 4.6 70. 1.47453 4.6 75. 1.28087 4.6 80. 0.99129 4.6 81. 0.91724 4.6 82. 0.83724 4.6 83. 0.75107 4.6 84. 0.65722 4.6 85. 0.55654 4.6 86. 0.45077 4.6 87. 0.33915 4.6 88. 0.22634 4.6 89. 0.11773 4.8 0. 1.93347 4.8 10. 1.92905 4.8 20. 1.92242 4.8 30. 1.90737 4.8 40. 1.87799 4.8 45. 1.85718 4.8 50. 1.82439 4.8 60. 1.71377 4.8 70. 1.48988 4.8 75. 1.29649 4.8 80. 1.00798 4.8 81. 0.93407 4.8 82. 0.85370 4.8 83. 0.76640 4.8 84. 0.67131 4.8 85. 0.56889 4.8 86. 0.46046 4.8 87. 0.34662 4.8 88. 0.23192 4.8 89. 0.11999 5.0 0. 1.94436 5.0 10. 1.94388 5.0 20. 1.93393 5.0 30. 1.91875 5.0 40. 1.89000 5.0 45. 1.86745 5.0 50. 1.83569 5.0 60. 1.72606 5.0 70. 1.50544 5.0 75. 1.31516 5.0 80. 1.02464 5.0 81. 0.94820 5.0 82. 0.86843 5.0 83. 0.78032 5.0 84. 0.68162 5.0 85. 0.58100 5.0 86. 0.47076 5.0 87. 0.35421 5.0 88. 0.23649 5.0 89. 0.12216 5.2 0. 1.95541 5.2 10. 1.95386 5.2 20. 1.94678 5.2 30. 1.93059 5.2 40. 1.90123 5.2 45. 1.87734 5.2 50. 1.84614 5.2 60. 1.73938 5.2 70. 1.52034 5.2 75. 1.33019 5.2 80. 1.03954 5.2 81. 0.96491 5.2 82. 0.88284 5.2 83. 0.79329 5.2 84. 0.69645 5.2 85. 0.59134 5.2 86. 0.47998 5.2 87. 0.36136 5.2 88. 0.24126 5.2 89. 0.12440 5.6 0. 1.97125 5.6 10. 1.97120 5.6 20. 1.96133 5.6 30. 1.94850 5.6 40. 1.92001 5.6 45. 1.89533 5.6 50. 1.86563 5.6 60. 1.75711 5.6 70. 1.54562 5.6 75. 1.35834 5.6 80. 1.06870 5.6 81. 0.99281 5.6 82. 0.90986 5.6 83. 0.81855 5.6 84. 0.72126 5.6 85. 0.61285 5.6 86. 0.49770 5.6 87. 0.37566 5.6 88. 0.25020 5.6 89. 0.12866 5.8 0. 1.98184 5.8 10. 1.97708 5.8 20. 1.97103 5.8 30. 1.95284 5.8 40. 1.92284 5.8 45. 1.90302 5.8 50. 1.87357 5.8 60. 1.76185 5.8 70. 1.55616 5.8 75. 1.37005 5.8 80. 1.08199 5.8 81. 1.00403 5.8 82. 0.92190 5.8 83. 0.82216 5.8 84. 0.73190 5.8 85. 0.62312 5.8 86. 0.50598 5.8 87. 0.38272 5.8 88. 0.25516 5.8 89. 0.13084 6.0 0. 1.98557 6.0 10. 1.98459 6.0 20. 1.97607 6.0 30. 1.96030 6.0 40. 1.93091 6.0 45. 1.91165 6.0 50. 1.88040 6.0 60. 1.77372 6.0 70. 1.56629 6.0 75. 1.38397 6.0 80. 1.09393 6.0 81. 1.01838 6.0 82. 0.93421 6.0 83. 0.84250 6.0 84. 0.74184 6.0 85. 0.63335 6.0 86. 0.51518 6.0 87. 0.38871 6.0 88. 0.25884 6.0 89. 0.13268 6.4 0. 1.99675 6.4 10. 1.99562 6.4 20. 1.98739 6.4 30. 1.97087 6.4 40. 1.94345 6.4 45. 1.92383 6.4 50. 1.89144 6.4 60. 1.78849 6.4 70. 1.58446 6.4 75. 1.40321 6.4 80. 1.11839 6.4 81. 1.04216 6.4 82. 0.95806 6.4 83. 0.86570 6.4 84. 0.76398 6.4 85. 0.65236 6.4 86. 0.53073 6.4 87. 0.40145 6.4 88. 0.26812 6.4 89. 0.13649 6.8 0. 2.00713 6.8 10. 2.00188 6.8 20. 1.99900 6.8 30. 1.97970 6.8 40. 1.95044 6.8 45. 1.93193 6.8 50. 1.89875 6.8 60. 1.79755 6.8 70. 1.60013 6.8 75. 1.42579 6.8 80. 1.14148 6.8 81. 1.06446 6.8 82. 0.98061 6.8 83. 0.88714 6.8 84. 0.77093 6.8 85. 0.67117 6.8 86. 0.54658 6.8 87. 0.41386 6.8 88. 0.27642 6.8 89. 0.14044 7.0 0. 2.00876 7.0 10. 2.00603 7.0 20. 2.00231 7.0 30. 1.98267 7.0 40. 1.95395 7.0 45. 1.93127 7.0 50. 1.90373 7.0 60. 1.80468 7.0 70. 1.60730 7.0 75. 1.43466 7.0 80. 1.15138 7.0 81. 1.07520 7.0 82. 0.99025 7.0 83. 0.89723 7.0 84. 0.79256 7.0 85. 0.67937 7.0 86. 0.55463 7.0 87. 0.42063 7.0 88. 0.28005 7.0 89. 0.14267 7.2 0. 2.01376 7.2 10. 2.01252 7.2 20. 2.00054 7.2 30. 1.98591 7.2 40. 1.95786 7.2 45. 1.93615 7.2 50. 1.90701 7.2 60. 1.80694 7.2 70. 1.61499 7.2 75. 1.44239 7.2 80. 1.16184 7.2 81. 1.08547 7.2 82. 1.00213 7.2 83. 0.90807 7.2 84. 0.80353 7.2 85. 0.68774 7.2 86. 0.56161 7.2 87. 0.41766 7.2 88. 0.28427 7.2 89. 0.14427 7.6 0. 2.01881 7.6 10. 2.01680 7.6 20. 2.00959 7.6 30. 1.99539 7.6 40. 1.96512 7.6 45. 1.94168 7.6 50. 1.91216 7.6 60. 1.81629 7.6 70. 1.62656 7.6 75. 1.45791 7.6 80. 1.18186 7.6 81. 1.10495 7.6 82. 1.02077 7.6 83. 0.92632 7.6 84. 0.82112 7.6 85. 0.70477 7.6 86. 0.57681 7.6 87. 0.43776 7.6 88. 0.29230 7.6 89. 0.14820 8.0 0. 2.02630 8.0 10. 2.02050 8.0 20. 2.01356 8.0 30. 1.99654 8.0 40. 1.96624 8.0 45. 1.94511 8.0 50. 1.91407 8.0 60. 1.81903 8.0 70. 1.63850 8.0 75. 1.47307 8.0 80. 1.19950 8.0 81. 1.12469 8.0 82. 1.03939 8.0 83. 0.94456 8.0 84. 0.83855 8.0 85. 0.72051 8.0 86. 0.59115 8.0 87. 0.44955 8.0 88. 0.30031 8.0 89. 0.15210 8.4 0. 2.02849 8.4 10. 2.02690 8.4 20. 2.01588 8.4 30. 1.99940 8.4 40. 1.97137 8.4 45. 1.94954 8.4 50. 1.91827 8.4 60. 1.82596 8.4 70. 1.64795 8.4 75. 1.48617 8.4 80. 1.21648 8.4 81. 1.14248 8.4 82. 1.05675 8.4 83. 0.96208 8.4 84. 0.85554 8.4 85. 0.73688 8.4 86. 0.60488 8.4 87. 0.46044 8.4 88. 0.30768 8.4 89. 0.15549 8.8 0. 2.03275 8.8 10. 2.02787 8.8 20. 2.01916 8.8 30. 2.00260 8.8 40. 1.97025 8.8 45. 1.94994 8.8 50. 1.92091 8.8 60. 1.83081 8.8 70. 1.65530 8.8 75. 1.49987 8.8 80. 1.23298 8.8 81. 1.15497 8.8 82. 1.06583 8.8 83. 0.97883 8.8 84. 0.87150 8.8 85. 0.75174 8.8 86. 0.61793 8.8 87. 0.47182 8.8 88. 0.31558 8.8 89. 0.15902 9.0 0. 2.03274 9.0 10. 2.03328 9.0 20. 2.01954 9.0 30. 2.00312 9.0 40. 1.97326 9.0 45. 1.95039 9.0 50. 1.92355 9.0 60. 1.83065 9.0 70. 1.66142 9.0 75. 1.50477 9.0 80. 1.23928 9.0 81. 1.16678 9.0 82. 1.08191 9.0 83. 0.98644 9.0 84. 0.87868 9.0 85. 0.75852 9.0 86. 0.62481 9.0 87. 0.47695 9.0 88. 0.31887 9.0 89. 0.16072 9.2 0. 2.03445 9.2 10. 2.02917 9.2 20. 2.02253 9.2 30. 2.00253 9.2 40. 1.97262 9.2 45. 1.95404 9.2 50. 1.92407 9.2 60. 1.83502 9.2 70. 1.66372 9.2 75. 1.50973 9.2 80. 1.24681 9.2 81. 1.17352 9.2 82. 1.08876 9.2 83. 0.99409 9.2 84. 0.88743 9.2 85. 0.76603 9.2 86. 0.63097 9.2 87. 0.48152 9.2 88. 0.32280 9.2 89. 0.16247 9.6 0. 2.03499 9.6 10. 2.03488 9.6 20. 2.02174 9.6 30. 2.00627 9.6 40. 1.97619 9.6 45. 1.95403 9.6 50. 1.92539 9.6 60. 1.83838 9.6 70. 1.67238 9.6 75. 1.52133 9.6 80. 1.26157 9.6 81. 1.17723 9.6 82. 1.10552 9.6 83. 1.00955 9.6 84. 0.90192 9.6 85. 0.78010 9.6 86. 0.64315 9.6 87. 0.49236 9.6 88. 0.33007 9.6 89. 0.16578 10.0 0. 2.03873 10.0 10. 2.03604 10.0 20. 2.02719 10.0 30. 2.00813 10.0 40. 1.97665 10.0 45. 1.95585 10.0 50. 1.92550 10.0 60. 1.83883 10.0 70. 1.67839 10.0 75. 1.53200 10.0 80. 1.27632 10.0 81. 1.20248 10.0 82. 1.12010 10.0 83. 1.02306 10.0 84. 0.91465 10.0 85. 0.78499 10.0 86. 0.65487 10.0 87. 0.50166 10.0 88. 0.33612 10.0 89. 0.16890 11.0 0. 2.04408 11.0 10. 2.04092 11.0 20. 2.02992 11.0 30. 2.00987 11.0 40. 1.98054 11.0 45. 1.95861 11.0 50. 1.93174 11.0 60. 1.84368 11.0 70. 1.69295 11.0 75. 1.55331 11.0 80. 1.30770 11.0 81. 1.23545 11.0 82. 1.15376 11.0 83. 1.05854 11.0 84. 0.95033 11.0 85. 0.82535 11.0 86. 0.68343 11.0 87. 0.52510 11.0 88. 0.35308 11.0 89. 0.17689 12.0 0. 2.04428 12.0 10. 2.04020 12.0 20. 2.03541 12.0 30. 2.01145 12.0 40. 1.97843 12.0 45. 1.95991 12.0 50. 1.92782 12.0 60. 1.84654 12.0 70. 1.70511 12.0 75. 1.57130 12.0 80. 1.33457 12.0 81. 1.26093 12.0 82. 1.18382 12.0 83. 1.09003 12.0 84. 0.98024 12.0 85. 0.83865 12.0 86. 0.71003 12.0 87. 0.54783 12.0 88. 0.36882 12.0 89. 0.18437 13.0 0. 2.04773 13.0 10. 2.04526 13.0 20. 2.02972 13.0 30. 2.01352 13.0 40. 1.97798 13.0 45. 1.95602 13.0 50. 1.93054 13.0 60. 1.84681 13.0 70. 1.70983 13.0 75. 1.58649 13.0 80. 1.36075 13.0 81. 1.29097 13.0 82. 1.20716 13.0 83. 1.11886 13.0 84. 1.00170 13.0 85. 0.88243 13.0 86. 0.73631 13.0 87. 0.56874 13.0 88. 0.38378 13.0 89. 0.19175 14.0 0. 2.04672 14.0 10. 2.04426 14.0 20. 2.03566 14.0 30. 2.01161 14.0 40. 1.97663 14.0 45. 1.95603 14.0 50. 1.92573 14.0 60. 1.85081 14.0 70. 1.71710 14.0 75. 1.59944 14.0 80. 1.38287 14.0 81. 1.31561 14.0 82. 1.23744 14.0 83. 1.14489 14.0 84. 1.03675 14.0 85. 0.90926 14.0 86. 0.76016 14.0 87. 0.58876 14.0 88. 0.39840 14.0 89. 0.19856 15.0 0. 2.05045 15.0 10. 2.04440 15.0 20. 2.03179 15.0 30. 2.01064 15.0 40. 1.97837 15.0 45. 1.95667 15.0 50. 1.92752 15.0 60. 1.84769 15.0 70. 1.72391 15.0 75. 1.61027 15.0 80. 1.40347 15.0 81. 1.33630 15.0 82. 1.25921 15.0 83. 1.16814 15.0 84. 1.06152 15.0 85. 0.93326 15.0 86. 0.78285 15.0 87. 0.60842 15.0 88. 0.41210 15.0 89. 0.20590 16.0 0. 2.04835 16.0 10. 2.04269 16.0 20. 2.03319 16.0 30. 2.01036 16.0 40. 1.97375 16.0 45. 1.95134 16.0 50. 1.92223 16.0 60. 1.84926 16.0 70. 1.72622 16.0 75. 1.62028 16.0 80. 1.42043 16.0 81. 1.35594 16.0 82. 1.28032 16.0 83. 1.19110 16.0 84. 1.08433 16.0 85. 0.95669 16.0 86. 0.80402 16.0 87. 0.62724 16.0 88. 0.42655 16.0 89. 0.21275 17.0 0. 2.05151 17.0 10. 2.04272 17.0 20. 2.03393 17.0 30. 2.00990 17.0 40. 1.97377 17.0 45. 1.95423 17.0 50. 1.92426 17.0 60. 1.84787 17.0 70. 1.73058 17.0 75. 1.62931 17.0 80. 1.43770 17.0 81. 1.37483 17.0 82. 1.30141 17.0 83. 1.21355 17.0 84. 1.10634 17.0 85. 0.97852 17.0 86. 0.82546 17.0 87. 0.64545 17.0 88. 0.43956 17.0 89. 0.21935 18.0 0. 2.04804 18.0 10. 2.04284 18.0 20. 2.03087 18.0 30. 2.00677 18.0 40. 1.97389 18.0 45. 1.95107 18.0 50. 1.91611 18.0 60. 1.84730 18.0 70. 1.73107 18.0 75. 1.63677 18.0 80. 1.45046 18.0 81. 1.38903 18.0 82. 1.31999 18.0 83. 1.23272 18.0 84. 1.12666 18.0 85. 0.99923 18.0 86. 0.84523 18.0 87. 0.66270 18.0 88. 0.45176 18.0 89. 0.22569 19.0 0. 2.04834 19.0 10. 2.04561 19.0 20. 2.03120 19.0 30. 2.00681 19.0 40. 1.97037 19.0 45. 1.94592 19.0 50. 1.91754 19.0 60. 1.84449 19.0 70. 1.73432 19.0 75. 1.64271 19.0 80. 1.46339 19.0 81. 1.40844 19.0 82. 1.33725 19.0 83. 1.25073 19.0 84. 1.14683 19.0 85. 1.01949 19.0 86. 0.86436 19.0 87. 0.67987 19.0 88. 0.46501 19.0 89. 0.23229 20.0 0. 2.05001 20.0 10. 2.04329 20.0 20. 2.03018 20.0 30. 2.00740 20.0 40. 1.97060 20.0 45. 1.94684 20.0 50. 1.91733 20.0 60. 1.84474 20.0 70. 1.73564 20.0 75. 1.64639 20.0 80. 1.47756 20.0 81. 1.42050 20.0 82. 1.35172 20.0 83. 1.26823 20.0 84. 1.16460 20.0 85. 1.03762 20.0 86. 0.88191 20.0 87. 0.69549 20.0 88. 0.47727 20.0 89. 0.23873 25.0 0. 2.04599 25.0 10. 2.04467 25.0 20. 2.02899 25.0 30. 2.00143 25.0 40. 1.96122 25.0 45. 1.93737 25.0 50. 1.90871 25.0 60. 1.83360 25.0 70. 1.73650 25.0 75. 1.66594 25.0 80. 1.52464 25.0 81. 1.47640 25.0 82. 1.41639 25.0 83. 1.34085 25.0 84. 1.24239 25.0 85. 1.11959 25.0 86. 0.96459 25.0 87. 0.77029 25.0 88. 0.53451 25.0 89. 0.26819 30.0 0. 2.04558 30.0 10. 2.03790 30.0 20. 2.02509 30.0 30. 1.99863 30.0 40. 1.95979 30.0 45. 1.93149 30.0 50. 1.89991 30.0 60. 1.82554 30.0 70. 1.73353 30.0 75. 1.67309 30.0 80. 1.55568 30.0 81. 1.51361 30.0 82. 1.46119 30.0 83. 1.39242 30.0 84. 1.30383 30.0 85. 1.18514 30.0 86. 1.03207 30.0 87. 0.83369 30.0 88. 0.58691 30.0 89. 0.29637 ____________________________________________________