Concentric Hemispherical Analyzer (CHA) (also know as an HDA) the axis of which is 60 deg. away from the electron beam 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. 1.00100 1.8 10. 0.95146 1.8 20. 0.89974 1.8 30. 0.84135 1.8 40. 0.77413 1.8 45. 0.73594 1.8 50. 0.69322 1.8 60. 0.59018 1.8 70. 0.45095 1.8 75. 0.36167 1.8 80. 0.25599 1.8 81. 0.23273 1.8 82. 0.20846 1.8 83. 0.18390 1.8 84. 0.15866 1.8 85. 0.12906 1.8 86. 0.10650 1.8 87. 0.08043 1.8 88. 0.05507 1.8 89. 0.03140 2.0 0. 1.26483 2.0 10. 1.23676 2.0 20. 1.20423 2.0 30. 1.15689 2.0 40. 1.09334 2.0 45. 1.05426 2.0 50. 1.00758 2.0 60. 0.87975 2.0 70. 0.68652 2.0 75. 0.55366 2.0 80. 0.38984 2.0 81. 0.35359 2.0 82. 0.31632 2.0 83. 0.27773 2.0 84. 0.23797 2.0 85. 0.19779 2.0 86. 0.15749 2.0 87. 0.11771 2.0 88. 0.07915 2.0 89. 0.04400 2.2 0. 1.40611 2.2 10. 1.39138 2.2 20. 1.36797 2.2 30. 1.33116 2.2 40. 1.27268 2.2 45. 1.23337 2.2 50. 1.18667 2.2 60. 1.04896 2.2 70. 0.82594 2.2 75. 0.66771 2.2 80. 0.47005 2.2 81. 0.42530 2.2 82. 0.38023 2.2 83. 0.33305 2.2 84. 0.28504 2.2 85. 0.23635 2.2 86. 0.18747 2.2 87. 0.13916 2.2 88. 0.09303 2.2 89. 0.05084 2.4 0. 1.50553 2.4 10. 1.49997 2.4 20. 1.48173 2.4 30. 1.45371 2.4 40. 1.40055 2.4 45. 1.36324 2.4 50. 1.31525 2.4 60. 1.17237 2.4 70. 0.92808 2.4 75. 0.75134 2.4 80. 0.52923 2.4 81. 0.47965 2.4 82. 0.42815 2.4 83. 0.37518 2.4 84. 0.32022 2.4 85. 0.26518 2.4 86. 0.20970 2.4 87. 0.15552 2.4 88. 0.10336 2.4 89. 0.05578 2.6 0. 1.57710 2.6 10. 1.58185 2.6 20. 1.56977 2.6 30. 1.54466 2.6 40. 1.49780 2.6 45. 1.46182 2.6 50. 1.41370 2.6 60. 1.26257 2.6 70. 1.01052 2.6 75. 0.81922 2.6 80. 0.57834 2.6 81. 0.52363 2.6 82. 0.46721 2.6 83. 0.40908 2.6 84. 0.34934 2.6 85. 0.28901 2.6 86. 0.22864 2.6 87. 0.16908 2.6 88. 0.11170 2.6 89. 0.05978 2.8 0. 1.63628 2.8 10. 1.64260 2.8 20. 1.63733 2.8 30. 1.61791 2.8 40. 1.57406 2.8 45. 1.54159 2.8 50. 1.49247 2.8 60. 1.34366 2.8 70. 1.07738 2.8 75. 0.87615 2.8 80. 0.61924 2.8 81. 0.56161 2.8 82. 0.50106 2.8 83. 0.43877 2.8 84. 0.37431 2.8 85. 0.31004 2.8 86. 0.24503 2.8 87. 0.17752 2.8 88. 0.11912 2.8 89. 0.06308 3.0 0. 1.68421 3.0 10. 1.69635 3.0 20. 1.69414 3.0 30. 1.67767 3.0 40. 1.63678 3.0 45. 1.60341 3.0 50. 1.55796 3.0 60. 1.40861 3.0 70. 1.13410 3.0 75. 0.92602 3.0 80. 0.65031 3.0 81. 0.59143 3.0 82. 0.53069 3.0 83. 0.46469 3.0 84. 0.39744 3.0 85. 0.32866 3.0 86. 0.25909 3.0 87. 0.19103 3.0 88. 0.12562 3.0 89. 0.06603 3.4 0. 1.75728 3.4 10. 1.77427 3.4 20. 1.77884 3.4 30. 1.76721 3.4 40. 1.73519 3.4 45. 1.70328 3.4 50. 1.65556 3.4 60. 1.50729 3.4 70. 1.22525 3.4 75. 1.00589 3.4 80. 0.71758 3.4 81. 0.65141 3.4 82. 0.58226 3.4 83. 0.50985 3.4 84. 0.43666 3.4 85. 0.36076 3.4 86. 0.28104 3.4 87. 0.20969 3.4 88. 0.13698 3.4 89. 0.07142 3.8 0. 1.80669 3.8 10. 1.82957 3.8 20. 1.83847 3.8 30. 1.83250 3.8 40. 1.79572 3.8 45. 1.77114 3.8 50. 1.72501 3.8 60. 1.58131 3.8 70. 1.29645 3.8 75. 1.07177 3.8 80. 0.76839 3.8 81. 0.69834 3.8 82. 0.62395 3.8 83. 0.54803 3.8 84. 0.46862 3.8 85. 0.38816 3.8 86. 0.30605 3.8 87. 0.22501 3.8 88. 0.14697 3.8 89. 0.07554 4.0 0. 1.82967 4.0 10. 1.85068 4.0 20. 1.86212 4.0 30. 1.85652 4.0 40. 1.82724 4.0 45. 1.79818 4.0 50. 1.75794 4.0 60. 1.61142 4.0 70. 1.32785 4.0 75. 1.09969 4.0 80. 0.79085 4.0 81. 0.71913 4.0 82. 0.64135 4.0 83. 0.56533 4.0 84. 0.48416 4.0 85. 0.39999 4.0 86. 0.31600 4.0 87. 0.23216 4.0 88. 0.15142 4.0 89. 0.07755 4.4 0. 1.86414 4.4 10. 1.88864 4.4 20. 1.89990 4.4 30. 1.90233 4.4 40. 1.87125 4.4 45. 1.84259 4.4 50. 1.80393 4.4 60. 1.66075 4.4 70. 1.37803 4.4 75. 1.14786 4.4 80. 0.83260 4.4 81. 0.75665 4.4 82. 0.67828 4.4 83. 0.59654 4.4 84. 0.51147 4.4 85. 0.42396 4.4 86. 0.33456 4.4 87. 0.24543 4.4 88. 0.15997 4.4 89. 0.08100 4.6 0. 1.87784 4.6 10. 1.90174 4.6 20. 1.91567 4.6 30. 1.91237 4.6 40. 1.88910 4.6 45. 1.86402 4.6 50. 1.82369 4.6 60. 1.68077 4.6 70. 1.40225 4.6 75. 1.17068 4.6 80. 0.85104 4.6 81. 0.77476 4.6 82. 0.69462 4.6 83. 0.61142 4.6 84. 0.52424 4.6 85. 0.43417 4.6 86. 0.34327 4.6 87. 0.25191 4.6 88. 0.16366 4.6 89. 0.08282 4.8 0. 1.89146 4.8 10. 1.91352 4.8 20. 1.92863 4.8 30. 1.92825 4.8 40. 1.90254 4.8 45. 1.87827 4.8 50. 1.83828 4.8 60. 1.70083 4.8 70. 1.42156 4.8 75. 1.18902 4.8 80. 0.86825 4.8 81. 0.79176 4.8 82. 0.71093 4.8 83. 0.62619 4.8 84. 0.53710 4.8 85. 0.44491 4.8 86. 0.35158 4.8 87. 0.25784 4.8 88. 0.16794 4.8 89. 0.08450 5.0 0. 1.90136 5.0 10. 1.92782 5.0 20. 1.94022 5.0 30. 1.93983 5.0 40. 1.91569 5.0 45. 1.88983 5.0 50. 1.85155 5.0 60. 1.71593 5.0 70. 1.44042 5.0 75. 1.21042 5.0 80. 0.88577 5.0 81. 0.80649 5.0 82. 0.72557 5.0 83. 0.63939 5.0 84. 0.54650 5.0 85. 0.45558 5.0 86. 0.36026 5.0 87. 0.26408 5.0 88. 0.17152 5.0 89. 0.08607 5.2 0. 1.91258 5.2 10. 1.93788 5.2 20. 1.95302 5.2 30. 1.95207 5.2 40. 1.92765 5.2 45. 1.90077 5.2 50. 1.86333 5.2 60. 1.73184 5.2 70. 1.45861 5.2 75. 1.22751 5.2 80. 0.90129 5.2 81. 0.82313 5.2 82. 0.74001 5.2 83. 0.65210 5.2 84. 0.56035 5.2 85. 0.46468 5.2 86. 0.36816 5.2 87. 0.26972 5.2 88. 0.17524 5.2 89. 0.08777 5.6 0. 1.92839 5.6 10. 1.95499 5.6 20. 1.96759 5.6 30. 1.97052 5.6 40. 1.94821 5.6 45. 1.92062 5.6 50. 1.88587 5.6 60. 1.75425 5.6 70. 1.48938 5.6 75. 1.26059 5.6 80. 0.93220 5.6 81. 0.85204 5.6 82. 0.76681 5.6 83. 0.67624 5.6 84. 0.58326 5.6 85. 0.48379 5.6 86. 0.38320 5.6 87. 0.28146 5.6 88. 0.18209 5.6 89. 0.09087 5.8 0. 1.93829 5.8 10. 1.96089 5.8 20. 1.97724 5.8 30. 1.97490 5.8 40. 1.95056 5.8 45. 1.92908 5.8 50. 1.89498 5.8 60. 1.76053 5.8 70. 1.50232 5.8 75. 1.27491 5.8 80. 0.94630 5.8 81. 0.86342 5.8 82. 0.77905 5.8 83. 0.68238 5.8 84. 0.59328 5.8 85. 0.49311 5.8 86. 0.39013 5.8 87. 0.28716 5.8 88. 0.18590 5.8 89. 0.09242 6.0 0. 1.94230 6.0 10. 1.96835 6.0 20. 1.98233 6.0 30. 1.98272 6.0 40. 1.95954 6.0 45. 1.93842 6.0 50. 1.90254 6.0 60. 1.77508 6.0 70. 1.51539 6.0 75. 1.29102 6.0 80. 0.95935 6.0 81. 0.87831 6.0 82. 0.79113 6.0 83. 0.69942 6.0 84. 0.60249 6.0 85. 0.50213 6.0 86. 0.39805 6.0 87. 0.29196 6.0 88. 0.18875 6.0 89. 0.09378 6.4 0. 1.95399 6.4 10. 1.97939 6.4 20. 1.99353 6.4 30. 1.99318 6.4 40. 1.97252 6.4 45. 1.95163 6.4 50. 1.91506 6.4 60. 1.79304 6.4 70. 1.53858 6.4 75. 1.31449 6.4 80. 0.98578 6.4 81. 0.90344 6.4 82. 0.81531 6.4 83. 0.72207 6.4 84. 0.62300 6.4 85. 0.51915 6.4 86. 0.41140 6.4 87. 0.30225 6.4 88. 0.19586 6.4 89. 0.09654 6.8 0. 1.96457 6.8 10. 1.98571 6.8 20. 2.00504 6.8 30. 2.00198 6.8 40. 1.98016 6.8 45. 1.96060 6.8 50. 1.92364 6.8 60. 1.80469 6.8 70. 1.55875 6.8 75. 1.34166 6.8 80. 1.01070 6.8 81. 0.92660 6.8 82. 0.83821 6.8 83. 0.74277 6.8 84. 0.63370 6.8 85. 0.53592 6.8 86. 0.42488 6.8 87. 0.31248 6.8 88. 0.20217 6.8 89. 0.09939 7.0 0. 1.96702 7.0 10. 1.99023 7.0 20. 2.00829 7.0 30. 2.00506 7.0 40. 1.98374 7.0 45. 1.96074 7.0 50. 1.92923 7.0 60. 1.81273 7.0 70. 1.56789 7.0 75. 1.35253 7.0 80. 1.02129 7.0 81. 0.93810 7.0 82. 0.84816 7.0 83. 0.75273 7.0 84. 0.65012 7.0 85. 0.54350 7.0 86. 0.43167 7.0 87. 0.31789 7.0 88. 0.20500 7.0 89. 0.10104 7.2 0. 1.97260 7.2 10. 1.99671 7.2 20. 2.00651 7.2 30. 2.00823 7.2 40. 1.98799 7.2 45. 1.96534 7.2 50. 1.93279 7.2 60. 1.81641 7.2 70. 1.57757 7.2 75. 1.36218 7.2 80. 1.03282 7.2 81. 0.94926 7.2 82. 0.86013 7.2 83. 0.76373 7.2 84. 0.66033 7.2 85. 0.55114 7.2 86. 0.43779 7.2 87. 0.31705 7.2 88. 0.20825 7.2 89. 0.10213 7.6 0. 1.97796 7.6 10. 2.00113 7.6 20. 2.01540 7.6 30. 2.01714 7.6 40. 1.99514 7.6 45. 1.97103 7.6 50. 1.93879 7.6 60. 1.82744 7.6 70. 1.59265 7.6 75. 1.38120 7.6 80. 1.05505 7.6 81. 0.96984 7.6 82. 0.87950 7.6 83. 0.78161 7.6 84. 0.67720 7.6 85. 0.56658 7.6 86. 0.45082 7.6 87. 0.33189 7.6 88. 0.21440 7.6 89. 0.10505 8.0 0. 1.98652 8.0 10. 2.00506 8.0 20. 2.01930 8.0 30. 2.01845 8.0 40. 1.99605 8.0 45. 1.97467 8.0 50. 1.94110 8.0 60. 1.83246 8.0 70. 1.60800 8.0 75. 1.40050 8.0 80. 1.07469 8.0 81. 0.99110 8.0 82. 0.89885 8.0 83. 0.80013 8.0 84. 0.69385 8.0 85. 0.58090 8.0 86. 0.46348 8.0 87. 0.34149 8.0 88. 0.22055 8.0 89. 0.10788 8.4 0. 1.98881 8.4 10. 2.01157 8.4 20. 2.02152 8.4 30. 2.02081 8.4 40. 2.00103 8.4 45. 1.97869 8.4 50. 1.94554 8.4 60. 1.84063 8.4 70. 1.62095 8.4 75. 1.41711 8.4 80. 1.09360 8.4 81. 1.01032 8.4 82. 0.91731 8.4 83. 0.81794 8.4 84. 0.71044 8.4 85. 0.59605 8.4 86. 0.47535 8.4 87. 0.35039 8.4 88. 0.22630 8.4 89. 0.11032 8.8 0. 1.99387 8.8 10. 2.01314 8.8 20. 2.02464 8.8 30. 2.02382 8.8 40. 1.99981 8.8 45. 1.97936 8.8 50. 1.94820 8.8 60. 1.84694 8.8 70. 1.63134 8.8 75. 1.43431 8.8 80. 1.11284 8.8 81. 1.02440 8.8 82. 0.92945 8.8 83. 0.83484 8.8 84. 0.72577 8.8 85. 0.60988 8.8 86. 0.48680 8.8 87. 0.35992 8.8 88. 0.23242 8.8 89. 0.11279 9.0 0. 1.99471 9.0 10. 2.01851 9.0 20. 2.02500 9.0 30. 2.02411 9.0 40. 2.00241 9.0 45. 1.97997 9.0 50. 1.95164 9.0 60. 1.84757 9.0 70. 1.63918 9.0 75. 1.44067 9.0 80. 1.12001 9.0 81. 1.03740 9.0 82. 0.94403 9.0 83. 0.84270 9.0 84. 0.73306 9.0 85. 0.61622 9.0 86. 0.49282 9.0 87. 0.36409 9.0 88. 0.23496 9.0 89. 0.11404 9.2 0. 1.99647 9.2 10. 2.01460 9.2 20. 2.02792 9.2 30. 2.02312 9.2 40. 2.00147 9.2 45. 1.98285 9.2 50. 1.95196 9.2 60. 1.85209 9.2 70. 1.64262 9.2 75. 1.44751 9.2 80. 1.12881 9.2 81. 1.04486 9.2 82. 0.95165 9.2 83. 0.85060 9.2 84. 0.74147 9.2 85. 0.62324 9.2 86. 0.49821 9.2 87. 0.36792 9.2 88. 0.23799 9.2 89. 0.11528 9.6 0. 1.99787 9.6 10. 2.02071 9.6 20. 2.02705 9.6 30. 2.02639 9.6 40. 2.00452 9.6 45. 1.98299 9.6 50. 1.95326 9.6 60. 1.85691 9.6 70. 1.65401 9.6 75. 1.46183 9.6 80. 1.14552 9.6 81. 1.05382 9.6 82. 0.96901 9.6 83. 0.86662 9.6 84. 0.75577 9.6 85. 0.63625 9.6 86. 0.50911 9.6 87. 0.37694 9.6 88. 0.24373 9.6 89. 0.11776 10.0 0. 2.00259 10.0 10. 2.02209 10.0 20. 2.03242 10.0 30. 2.02848 10.0 40. 2.00478 10.0 45. 1.98491 10.0 50. 1.95305 10.0 60. 1.85774 10.0 70. 1.66247 10.0 75. 1.47543 10.0 80. 1.16240 10.0 81. 1.07706 10.0 82. 0.98473 10.0 83. 0.88060 10.0 84. 0.76856 10.0 85. 0.64275 10.0 86. 0.51939 10.0 87. 0.38469 10.0 88. 0.24844 10.0 89. 0.11998 11.0 0. 2.00960 11.0 10. 2.02765 11.0 20. 2.03480 11.0 30. 2.02907 11.0 40. 2.00775 11.0 45. 1.98727 11.0 50. 1.95937 11.0 60. 1.86412 11.0 70. 1.68232 11.0 75. 1.50374 11.0 80. 1.19885 11.0 81. 1.11472 11.0 82. 1.02157 11.0 83. 0.91725 11.0 84. 0.80394 11.0 85. 0.67920 11.0 86. 0.54511 11.0 87. 0.40445 11.0 88. 0.26175 11.0 89. 0.12584 12.0 0. 2.01118 12.0 10. 2.02742 12.0 20. 2.04017 12.0 30. 2.02957 12.0 40. 2.00456 12.0 45. 1.98741 12.0 50. 1.95510 12.0 60. 1.86838 12.0 70. 1.69869 12.0 75. 1.52829 12.0 80. 1.23104 12.0 81. 1.14434 12.0 82. 1.05514 12.0 83. 0.95056 12.0 84. 0.83408 12.0 85. 0.69794 12.0 86. 0.56916 12.0 87. 0.42376 12.0 88. 0.27434 12.0 89. 0.13137 13.0 0. 2.01611 13.0 10. 2.03314 13.0 20. 2.03414 13.0 30. 2.03082 13.0 40. 2.00307 13.0 45. 1.98249 13.0 50. 1.95682 13.0 60. 1.86959 13.0 70. 1.70749 13.0 75. 1.54894 13.0 80. 1.26258 13.0 81. 1.17875 13.0 82. 1.08147 13.0 83. 0.98144 13.0 84. 0.85815 13.0 85. 0.73414 13.0 86. 0.59304 13.0 87. 0.44166 13.0 88. 0.28620 13.0 89. 0.13673 14.0 0. 2.01661 14.0 10. 2.03271 14.0 20. 2.04002 14.0 30. 2.02813 14.0 40. 2.00105 14.0 45. 1.98157 14.0 50. 1.95164 14.0 60. 1.87389 14.0 70. 1.71853 14.0 75. 1.56706 14.0 80. 1.28939 14.0 81. 1.20792 14.0 82. 1.11521 14.0 83. 1.01041 14.0 84. 0.89247 14.0 85. 0.76048 14.0 86. 0.61524 14.0 87. 0.45908 14.0 88. 0.29787 14.0 89. 0.14177 15.0 0. 2.02200 15.0 10. 2.03329 15.0 20. 2.03586 15.0 30. 2.02651 15.0 40. 2.00192 15.0 45. 1.98126 15.0 50. 1.95289 15.0 60. 1.87076 15.0 70. 1.72796 15.0 75. 1.58268 15.0 80. 1.31508 15.0 81. 1.23240 15.0 82. 1.14089 15.0 83. 1.03612 15.0 84. 0.91847 15.0 85. 0.78468 15.0 86. 0.63623 15.0 87. 0.47605 15.0 88. 0.30896 15.0 89. 0.14727 16.0 0. 2.02021 16.0 10. 2.03209 16.0 20. 2.03706 16.0 30. 2.02563 16.0 40. 1.99640 16.0 45. 1.97520 16.0 50. 1.94656 16.0 60. 1.87219 16.0 70. 1.73250 16.0 75. 1.59693 16.0 80. 1.33642 16.0 81. 1.25701 16.0 82. 1.16546 16.0 83. 1.06165 16.0 84. 0.94231 16.0 85. 0.80787 16.0 86. 0.65648 16.0 87. 0.49257 16.0 88. 0.32060 16.0 89. 0.15230 17.0 0. 2.02462 17.0 10. 2.03244 17.0 20. 2.03766 17.0 30. 2.02461 17.0 40. 1.99549 17.0 45. 1.97734 17.0 50. 1.94794 17.0 60. 1.87126 17.0 70. 1.73911 17.0 75. 1.60949 17.0 80. 1.35830 17.0 81. 1.27970 17.0 82. 1.19051 17.0 83. 1.08682 17.0 84. 0.96611 17.0 85. 0.83014 17.0 86. 0.67660 17.0 87. 0.50875 17.0 88. 0.33126 17.0 89. 0.15728 18.0 0. 2.02252 18.0 10. 2.03305 18.0 20. 2.03448 18.0 30. 2.02096 18.0 40. 1.99475 18.0 45. 1.97338 18.0 50. 1.93935 18.0 60. 1.87045 18.0 70. 1.74037 18.0 75. 1.62107 18.0 80. 1.37596 18.0 81. 1.29794 18.0 82. 1.21278 18.0 83. 1.10875 18.0 84. 0.98812 18.0 85. 0.85153 18.0 86. 0.69574 18.0 87. 0.52403 18.0 88. 0.34125 18.0 89. 0.16199 19.0 0. 2.02431 19.0 10. 2.03617 19.0 20. 2.03469 19.0 30. 2.02046 19.0 40. 1.99032 19.0 45. 1.96722 19.0 50. 1.93994 19.0 60. 1.86790 19.0 70. 1.74638 19.0 75. 1.62977 19.0 80. 1.39328 19.0 81. 1.32154 19.0 82. 1.23309 19.0 83. 1.13002 19.0 84. 1.01024 19.0 85. 0.87219 19.0 86. 0.71416 19.0 87. 0.53947 19.0 88. 0.35216 19.0 89. 0.16691 20.0 0. 2.02673 20.0 10. 2.03413 20.0 20. 2.03349 20.0 30. 2.02050 20.0 40. 1.98982 20.0 45. 1.96775 20.0 50. 1.93915 20.0 60. 1.86779 20.0 70. 1.74850 20.0 75. 1.63638 20.0 80. 1.41102 20.0 81. 1.33773 20.0 82. 1.25171 20.0 83. 1.14991 20.0 84. 1.03027 20.0 85. 0.89115 20.0 86. 0.73132 20.0 87. 0.55340 20.0 88. 0.36224 20.0 89. 0.17169 25.0 0. 2.02595 25.0 10. 2.03713 25.0 20. 2.03186 25.0 30. 2.01255 25.0 40. 1.97790 25.0 45. 1.95520 25.0 50. 1.92750 25.0 60. 1.85467 25.0 70. 1.75375 25.0 75. 1.66709 25.0 80. 1.47604 25.0 81. 1.41131 25.0 82. 1.33311 25.0 83. 1.23769 25.0 84. 1.11903 25.0 85. 0.97887 25.0 86. 0.81403 25.0 87. 0.62221 25.0 88. 0.41022 25.0 89. 0.19405 30.0 0. 2.02831 30.0 10. 2.03112 30.0 20. 2.02758 30.0 30. 2.00819 30.0 40. 1.97426 30.0 45. 1.94677 30.0 50. 1.91630 30.0 60. 1.84480 30.0 70. 1.75261 30.0 75. 1.68090 30.0 80. 1.52171 30.0 81. 1.46390 30.0 82. 1.39316 30.0 83. 1.30310 30.0 84. 1.19177 30.0 85. 1.05224 30.0 86. 0.88345 30.0 87. 0.68238 30.0 88. 0.45520 30.0 89. 0.21558 ____________________________________________________