Date: 5/ 12/ 1999 Computed by: Russ Laher California Institute Of Technology Infrared Processing and Analysis Center Mail Code 100-22 Pasadena, CA 91125 Tel.: (626) 397-7028 laher@ipac.caltech.edu N2 (a 1PG --> a'1SU- ) MCF1(J=0) SYSTEM SPECTROSCOPIC CONSTANTS: UPPER STATE: a 1PG EQ. ENERGY: Te = 68107.6 CM-1 VIB ENERGY: GV = ( 1.69421E+03)(V+.5) -( 1.3949E+01)(V+.5)**2 +( 7.940E-03)(V+.5)**3+( 2.90E-04)(V+.5)**4 +( 0.00E+00)(V+.5)**5+( 0.00E+00)(V+.5)**6 REF: Lah&Gil 91 ROT CONST : BV = ( 1.61690)-( 0.017930)(V+.5)+(-2.93E-05)(V+.5)**2 +( 0.00E+00)(V+.5)**3+( 0.00E+00)(V+.5)**4 REF: Lah&Gil 91 EQUILIBRIUM INTERNUCLEAR DISTANCE: re = 1.220285 Angstroms DISSOCIATION ENERGY: De = 49055. CM-1 LOWER STATE: a'1SU- EQ. ENERGY: Te = 66977.2 CM-1 VIB ENERGY: GV = ( 1.53025E+03)(V+.5) -( 1.2075E+01)(V+.5)**2 +( 4.130E-02)(V+.5)**3+( -2.90E-04)(V+.5)**4 +( 0.00E+00)(V+.5)**5+( 0.00E+00)(V+.5)**6 REF: Lah&Gil 91 ROT CONST : BV = ( 1.47990)-( 0.016570)(V+.5)+( 2.41E-05)(V+.5)**2 +( 0.00E+00)(V+.5)**3+( 0.00E+00)(V+.5)**4 REF: Lah&Gil 91 EQUILIBRIUM INTERNUCLEAR DISTANCE: re = 1.275518 Angstroms DISSOCIATION ENERGY: De = 50186. CM-1 SPECTROSCOPIC CALCULATIONS: 1 WAVELENGTH (MICRONS) 2 WAVENUMBER (CM-1) 3 FRANCK-CONDON FACTOR REF: ESPY 88 FCF CODE 4 R CENTROID (ANGSTROMS) REF: ESPY 88 FCF CODE 5 ELECT TR MOMENT, RE(AU) REF: Gilmore et al. (1992) RE = 3.460E-01 EXP(- 1.150(R - 0.60)**2) + ( 0.000E+00) + ( 0.000E+00) * EXP(- 0.000* R) + ( 0.000E+00) * R + ( 0.000E+00) * R**2 6 TRANSITION PROBABILITY (SEC-1) (By r-centroid method) 7 TRANSITION PROBABILITY (SEC-1) (By integrating the product of the wavefunctions and Re(r) from the TMF given above. V'V" 0 1 2 3 4 5 6 7 8 9 10 0 8.2525 -33.9568 -5.6276 -3.0904 -2.1407 -1.6437 -1.3381 -1.1312 -0.9819 -0.8691 -0.7808 1211.7 -294.5 -1776.9 -3235.8 -4671.4 -6083.9 -7473.4 -8840.3 -10184.7 -11506.7 -12806.7 6.01E-01 2.81E-01 8.75E-02 2.32E-02 5.70E-03 1.36E-03 3.19E-04 7.55E-05 1.81E-05 4.42E-06 1.10E-06 1.2527 1.2008 1.1576 1.1203 1.0876 1.0583 1.0318 1.0078 0.9858 0.9657 0.9473 2.12E-01 2.28E-01 2.42E-01 2.53E-01 2.63E-01 2.72E-01 2.79E-01 2.86E-01 2.92E-01 2.97E-01 3.01E-01 9.74E+01 -1.52E+00 -1.16E+02 -2.04E+02 -1.63E+02 -9.13E+01 -4.21E+01 -1.73E+01 -6.59E+00 -2.40E+00 -8.53E-01 9.74E+01 -1.52E+00 -1.17E+02 -2.05E+02 -1.64E+02* -9.20E+01* -4.25E+01* -1.75E+01* -6.67E+00* -2.43E+00* -8.66E-01* 1 3.4745 7.2894 -90.4135 -6.3715 -3.3277 -2.2637 -1.7220 -1.3939 -1.1739 -1.0162 -0.8976 2878.1 1371.8 -110.6 -1569.5 -3005.1 -4417.5 -5807.1 -7173.9 -8518.3 -9840.4 -11140.3 3.30E-01 1.47E-01 2.78E-01 1.57E-01 6.04E-02 1.95E-02 5.75E-03 1.62E-03 4.45E-04 1.22E-04 3.34E-05 1.3101 1.2688 1.2095 1.1648 1.1269 1.0938 1.0643 1.0378 1.0137 0.9917 0.9715 1.94E-01 2.07E-01 2.26E-01 2.40E-01 2.51E-01 2.61E-01 2.70E-01 2.78E-01 2.84E-01 2.90E-01 2.95E-01 5.98E+02 3.29E+01 -7.78E-02 -1.41E+02 -4.20E+02 -4.66E+02 -3.33E+02 -1.87E+02 -9.01E+01 -3.95E+01 -1.63E+01 5.98E+02 3.29E+01 -7.77E-02 -1.41E+02 -4.21E+02 -4.68E+02 -3.35E+02* -1.88E+02* -9.09E+01* -4.00E+01* -1.65E+01* 2 2.2141 3.3219 6.5449 144.8813 -7.3177 -3.5984 -2.3989 -1.8065 -1.4535 -1.2192 -1.0524 4516.6 3010.4 1527.9 69.0 -1366.5 -2779.0 -4168.6 -5535.4 -6879.8 -8201.9 -9501.8 6.39E-02 4.06E-01 8.92E-03 1.85E-01 1.80E-01 9.62E-02 3.95E-02 1.41E-02 4.64E-03 1.46E-03 4.50E-04 1.3798 1.3196 1.3294 1.2196 1.1723 1.1336 1.1001 1.0705 1.0438 1.0196 0.9975 1.72E-01 1.91E-01 1.88E-01 2.23E-01 2.37E-01 2.49E-01 2.60E-01 2.68E-01 2.76E-01 2.83E-01 2.89E-01 3.52E+02 8.16E+02 2.27E+00 6.10E-03 -1.05E+02 -5.20E+02 -7.80E+02 -6.96E+02 -4.66E+02 -2.61E+02 -1.30E+02 3.51E+02 8.17E+02 2.28E+00* 6.09E-03 -1.05E+02 -5.21E+02 -7.83E+02 -7.00E+02 -4.69E+02* -2.64E+02* -1.32E+02* 3 1.6320 2.1640 3.1860 5.9531 40.9465 -8.5599 -3.9096 -2.5480 -1.8979 -1.5172 -1.2673 6127.4 4621.1 3138.7 1679.8 244.2 -1168.2 -2557.8 -3924.7 -5269.0 -6591.1 -7891.1 5.25E-03 1.48E-01 3.60E-01 1.23E-02 9.04E-02 1.63E-01 1.19E-01 6.11E-02 2.59E-02 9.87E-03 3.53E-03 1.4705 1.3885 1.3300 1.2070 1.2329 1.1804 1.1406 1.1066 1.0766 1.0498 1.0255 1.45E-01 1.69E-01 1.87E-01 2.26E-01 2.18E-01 2.35E-01 2.47E-01 2.58E-01 2.66E-01 2.74E-01 2.81E-01 5.13E+01 8.45E+02 7.92E+02 6.06E+00 1.27E-01 -5.82E+01 -4.95E+02 -9.92E+02 -1.09E+03 -8.61E+02 -5.54E+02 5.03E+01* 8.43E+02 7.94E+02 6.03E+00 1.27E-01 -5.81E+01 -4.95E+02 -9.95E+02 -1.10E+03 -8.67E+02* -5.59E+02* 4 1.2969 1.6118 2.1179 3.0648 5.4726 24.1056 -10.2594 -4.2706 -2.7130 -1.9968 -1.5853 7710.4 6204.2 4721.8 3262.9 1827.3 414.8 -974.7 -2341.6 -3686.0 -5008.0 -6308.0 1.69E-04 1.77E-02 2.26E-01 2.68E-01 6.19E-02 2.82E-02 1.24E-01 1.26E-01 7.94E-02 3.97E-02 1.73E-02 1.6063 1.4796 1.3974 1.3421 1.2483 1.2562 1.1895 1.1478 1.1131 1.0829 1.0559 1.08E-01 1.42E-01 1.67E-01 1.84E-01 2.13E-01 2.11E-01 2.32E-01 2.45E-01 2.56E-01 2.65E-01 2.72E-01 ( 1.83E+00) 1.73E+02 1.34E+03 6.37E+02 3.48E+01 1.82E-01 -2.51E+01 -3.92E+02 -1.05E+03 -1.41E+03 -1.31E+03 1.66E+00* 1.70E+02 1.34E+03 6.40E+02 3.47E+01 1.81E-01 -2.50E+01 -3.92E+02 -1.05E+03 -1.42E+03 -1.31E+03 5 1.0792 1.2887 1.5931 2.0754 2.9562 5.0754 17.2192 -12.7207 -4.6937 -2.8964 -2.1041 9265.9 7759.7 6277.2 4818.3 3382.8 1970.3 580.7 -786.1 -2130.5 -3452.6 -4752.5 1.25E-06 7.29E-04 3.73E-02 2.88E-01 1.74E-01 1.11E-01 2.10E-03 7.97E-02 1.16E-01 9.11E-02 5.32E-02 1.9155 1.6185 1.4889 1.4067 1.3570 1.2637 1.3609 1.2003 1.1554 1.1199 1.0892 4.73E-02 1.05E-01 1.39E-01 1.64E-01 1.79E-01 2.08E-01 1.78E-01 2.29E-01 2.43E-01 2.54E-01 2.63E-01 ( 4.51E-03)( 7.60E+00) 3.63E+02 1.75E+03 4.38E+02 7.47E+01 2.63E-02 -8.20E+00 -2.69E+02 -9.76E+02 -1.60E+03 7.16E-04* 6.85E+00* 3.56E+02 1.75E+03 4.41E+02 7.45E+01 2.58E-02* -8.16E+00 -2.68E+02 -9.77E+02 -1.60E+03 6 0.9265 1.0767 1.2812 1.5757 2.0364 2.8586 4.7423 13.4805 -16.5959 -5.1958 -3.1012 10793.8 9287.6 7805.2 6346.3 4910.7 3498.2 2108.7 741.8 -602.6 -1924.6 -3224.6 1.42E-09 6.02E-06 1.88E-03 6.27E-02 3.29E-01 9.70E-02 1.41E-01 3.49E-03 4.14E-02 9.65E-02 9.43E-02 0.3292 1.9518 1.6311 1.4985 1.4164 1.3771 1.2751 1.1300 1.2146 1.1636 1.1268 3.18E-01 4.23E-02 1.02E-01 1.37E-01 1.61E-01 1.73E-01 2.05E-01 2.50E-01 2.24E-01 2.40E-01 2.51E-01 ( 3.66E-04)( 1.75E-02)( 1.88E+01) 6.07E+02 2.04E+03 2.51E+02 1.13E+02 1.81E-01 -1.84E+00 -1.61E+02 -8.10E+02 5.40E-04* 1.02E-03* 1.69E+01* 5.97E+02 2.04E+03 2.55E+02 1.12E+02 1.83E-01* -1.83E+00 -1.60E+02 -8.09E+02 7 0.8134 0.9269 1.0746 1.2744 1.5598 2.0005 2.7707 4.4597 11.1367 -23.5773 -5.8002 12294.3 10788.1 9305.7 7846.8 6411.2 4998.7 3609.2 2242.3 897.9 -424.1 -1724.1 1.40E-10 1.52E-08 1.66E-05 3.78E-03 9.25E-02 3.49E-01 4.35E-02 1.50E-01 2.07E-02 1.51E-02 7.15E-02 1.8457 0.6604 1.9934 1.6442 1.5083 1.4266 1.4093 1.2855 1.1988 1.2390 1.1728 5.81E-02 3.45E-01 3.71E-02 9.87E-02 1.34E-01 1.58E-01 1.63E-01 2.02E-01 2.29E-01 2.16E-01 2.37E-01 ( 1.78E-06)( 4.59E-03)( 3.73E-02)( 3.61E+01) 8.87E+02 2.19E+03 1.10E+02 1.39E+02 1.59E+00 -2.19E-01 -8.36E+01 1.79E-09* 3.61E-03* 5.04E-06* 3.21E+01* 8.72E+02 2.20E+03 1.13E+02 1.39E+02 1.59E+00 -2.16E-01 -8.32E+01 V'V" 0 1 2 3 4 5 6 7 8 9 10 8 0.7263 0.8156 0.9277 1.0730 1.2683 1.5451 1.9676 2.6915 4.2175 9.5328 -39.8502 13767.5 12261.2 10778.8 9319.9 7884.3 6471.9 5082.3 3715.5 2371.1 1049.0 -250.9 8.89E-13 9.87E-10 8.35E-08 3.42E-05 6.48E-03 1.25E-01 3.52E-01 1.28E-02 1.41E-01 4.34E-02 2.13E-03 0.8513 1.9179 0.8781 2.0420 1.6577 1.5184 1.4373 1.4805 1.2958 1.2196 1.3203 3.22E-01 4.69E-02 3.17E-01 3.17E-02 9.56E-02 1.31E-01 1.55E-01 1.42E-01 1.98E-01 2.23E-01 1.91E-01 ( 4.86E-07)( 8.12E-06)( 2.12E-02)( 5.63E-02)( 5.88E+01) 1.18E+03 2.23E+03 2.67E+01 1.49E+02 5.03E+00 -4.95E-03 3.21E-07* 1.05E-06* 1.35E-02* 6.66E-03* 5.18E+01* 1.16E+03 2.25E+03 2.80E+01 1.49E+02 5.02E+00 -4.81E-03* 9 0.6573 0.7295 0.8180 0.9289 1.0718 1.2630 1.5318 1.9375 2.6199 4.0082 8.3685 15213.4 13707.1 12224.7 10765.8 9330.2 7917.8 6528.2 5161.4 3817.0 2494.9 1195.0 1.77E-14 1.21E-11 3.79E-09 3.21E-07 5.81E-05 9.99E-03 1.58E-01 3.41E-01 7.54E-04 1.20E-01 6.43E-02 2.3686 1.0331 2.0004 1.0360 2.0999 1.6719 1.5287 1.4488 1.9241 1.3066 1.2327 9.48E-03 2.79E-01 3.63E-02 2.78E-01 2.60E-02 9.23E-02 1.28E-01 1.51E-01 4.61E-02 1.95E-01 2.18E-01 ( 1.14E-11)( 4.93E-06) 1.84E-05 ( 6.28E-02)( 6.48E-02)( 8.56E+01) 1.47E+03 2.17E+03 ( 1.80E-01) 1.44E+02 1.06E+01 3.63E-09* 2.89E-06* 2.02E-05* 3.72E-02* 5.64E-02* 7.47E+01* 1.45E+03 2.19E+03 5.70E-02* 1.44E+02 1.06E+01 10 0.6012 0.6611 0.7330 0.8207 0.9303 1.0711 1.2583 1.5197 1.9099 2.5551 3.8259 16632.2 15125.9 13643.5 12184.6 10749.0 9336.5 7947.0 6580.1 5235.8 3913.7 2613.7 3.93E-17 6.21E-14 7.93E-11 1.02E-08 9.75E-07 8.52E-05 1.42E-02 1.91E-01 3.22E-01 2.20E-03 9.48E-02 2.5344 3.2108 1.1625 2.1028 1.1570 2.1708 1.6867 1.5394 1.4611 1.0160 1.3185 4.68E-03 1.36E-04 2.40E-01 2.58E-02 2.42E-01 2.03E-02 8.90E-02 1.25E-01 1.47E-01 2.84E-01 1.91E-01 ( 8.02E-15)( 8.10E-15)( 2.36E-05)( 2.49E-05)( 1.44E-01)( 5.77E-02)( 1.14E+02) 1.74E+03 2.04E+03 ( 2.15E+01) 1.25E+02 1.01E-10* 8.15E-08* 1.29E-05* 1.54E-04* 8.34E-02* 2.31E-01* 9.89E+01 1.72E+03 2.07E+03 1.94E+01* 1.25E+02 11 0.5548 0.6054 0.6651 0.7366 0.8237 0.9321 1.0708 1.2544 1.5089 1.8849 2.4966 18023.9 16517.7 15035.2 13576.3 12140.8 10728.3 9338.8 7971.9 6627.5 5305.4 4005.5 1.32E-15 8.12E-15 2.01E-13 3.62E-10 2.15E-08 2.49E-06 1.10E-04 1.90E-02 2.23E-01 2.97E-01 1.21E-02 1.3210 1.7190 3.8599 1.2706 2.2332 1.2550 2.2605 1.7021 1.5503 1.4744 1.2161 1.90E-01 8.20E-02 1.70E-06 2.06E-01 1.61E-02 2.11E-01 1.45E-02 8.56E-02 1.22E-01 1.44E-01 2.24E-01 5.69E-10 ( 4.98E-10)( 4.02E-18)( 7.80E-05)( 2.02E-05)( 2.79E-01)( 3.83E-02)( 1.43E+02) 1.98E+03 1.85E+03 7.87E+01 5.90E-10* 1.83E-11* 5.18E-07* 4.01E-05* 7.41E-04* 1.61E-01* 6.76E-01* 1.22E+02 1.96E+03 1.89E+03 7.31E+01 12 0.5158 0.5592 0.6098 0.6693 0.7404 0.8269 0.9343 1.0710 1.2512 1.4992 1.8621 19388.8 17882.6 16400.1 14941.2 13505.6 12093.2 10703.6 9336.8 7992.4 6670.3 5370.4 1.46E-16 1.71E-16 7.81E-14 1.30E-13 1.30E-09 3.63E-08 5.60E-06 1.27E-04 2.43E-02 2.54E-01 2.69E-01 1.2688 0.9203 1.7453 7.7314 1.3645 2.4129 1.3377 2.3794 1.7183 1.5615 1.4889 2.07E-01 3.07E-01 7.66E-02 1.38E-26 1.77E-01 7.90E-03 1.85E-01 9.07E-03 8.21E-02 1.19E-01 1.39E-01 9.21E-11 ( 1.87E-10)( 4.09E-09)( 0.00E+00)( 2.02E-04)( 8.12E-06)( 4.76E-01)( 1.72E-02)( 1.69E+02) 2.18E+03 1.64E+03 8.78E-11* 1.38E-10* 4.62E-11* 2.66E-06* 9.70E-05* 2.68E-03* 2.74E-01* 1.61E+00* 1.42E+02 2.16E+03 1.69E+03 13 0.4825 0.5203 0.5638 0.6143 0.6737 0.7445 0.8304 0.9368 1.0718 1.2487 1.4906 20726.9 19220.7 17738.2 16279.3 14843.8 13431.3 12041.7 10674.9 9330.5 8008.4 6708.5 4.61E-16 1.45E-16 1.93E-16 2.83E-13 1.49E-13 3.87E-09 4.93E-08 1.13E-05 1.29E-04 2.97E-02 2.82E-01 1.2919 1.2086 0.7678 1.9302 -9.3423 1.4498 2.6872 1.4099 2.5471 1.7353 1.5731 2.00E-01 2.26E-01 3.35E-01 4.52E-02 0.00E+00 1.51E-01 2.31E-03 1.63E-01 4.42E-03 7.86E-02 1.16E-01 3.31E-10 ( 1.07E-10)( 2.45E-10)( 5.06E-09)( 0.00E+00)( 4.32E-04)( 9.29E-07)( 7.38E-01)( 4.14E-03)( 1.91E+02) 2.34E+03 3.35E-10* 1.22E-10* 7.66E-11* 1.26E-08* 1.03E-05* 1.86E-04* 7.94E-03* 4.20E-01* 3.35E+00* 1.57E+02 2.33E+03 14 0.4538 0.4870 0.5249 0.5685 0.6190 0.6783 0.7489 0.8343 0.9397 1.0730 1.2469 22038.4 20532.2 19049.7 17590.8 16155.3 14742.8 13353.2 11986.4 10642.0 9319.9 8020.0 8.68E-16 2.01E-17 1.42E-15 8.11E-16 9.97E-13 6.30E-12 9.93E-09 5.05E-08 2.09E-05 1.12E-04 3.51E-02 1.2783 1.4596 1.3194 1.2169 2.0666 -1.3070 1.5304 3.1780 1.4751 2.8060 1.7533 2.04E-01 1.48E-01 1.91E-01 2.23E-01 2.92E-02 5.28E-03 1.28E-01 1.66E-04 1.43E-01 1.28E-03 7.50E-02 7.82E-10 ( 7.73E-12)( 7.22E-10)( 4.46E-10)( 7.24E-09)( 1.14E-09)( 7.84E-04)( 4.85E-09)( 1.05E+00)( 3.04E-04)( 2.06E+02) 7.84E-10* 9.97E-12* 6.48E-10* 3.02E-12* 1.03E-07* 3.26E-05* 2.87E-04* 2.02E-02* 5.86E-01* 6.24E+00* 1.66E+02 15 0.4288 0.4584 0.4918 0.5298 0.5734 0.6239 0.6831 0.7535 0.8384 0.9430 1.0747 23323.4 21817.2 20334.8 18875.9 17440.3 16027.8 14638.3 13271.4 11927.0 10605.0 9305.0 9.57E-17 9.52E-17 1.04E-15 2.66E-15 1.69E-14 2.62E-12 5.21E-11 2.25E-08 3.17E-08 3.59E-05 7.92E-05 1.2720 1.1723 1.1846 1.3550 1.4683 2.2604 -0.0151 1.6097 4.3839 1.5357 3.2686 2.06E-01 2.37E-01 2.34E-01 1.80E-01 1.45E-01 1.45E-02 2.24E-01 1.07E-01 2.44E-08 1.26E-01 9.60E-05 1.04E-10 1.13E-10 9.70E-10 ( 1.17E-09)( 3.84E-09)( 4.61E-09)( 1.66E-05)( 1.23E-03)( 6.51E-17)( 1.39E+00)( 1.19E-06) 1.05E-10* 1.10E-10* 9.00E-10* 1.04E-09* 6.59E-11* 6.17E-07* 8.84E-05* 3.39E-04* 4.56E-02* 7.42E-01* 1.07E+01* V'V" 0 1 2 3 4 5 6 7 8 9 10 16 0.4068 0.4334 0.4631 0.4967 0.5348 0.5785 0.6291 0.6882 0.7584 0.8429 0.9466 24582.1 23075.9 21593.5 20134.6 18699.0 17286.5 15897.0 14530.1 13185.7 11863.7 10563.7 2.62E-16 2.89E-16 1.18E-16 7.77E-16 5.14E-15 8.51E-14 5.36E-12 2.58E-10 4.57E-08 3.28E-09 5.77E-05 1.2692 1.2152 0.9799 1.0835 1.4169 1.6456 2.5467 0.5235 1.6909 13.1800 1.5937 2.07E-01 2.24E-01 2.93E-01 2.64E-01 1.61E-01 9.84E-02 4.43E-03 3.44E-01 8.80E-02 0.00E+00 1.11E-01 3.37E-10 3.61E-10 2.07E-10 ( 8.98E-10) 1.76E-09 ( 8.63E-09)( 8.56E-10) 1.90E-04 ( 1.65E-03)( 0.00E+00)( 1.70E+00) 3.37E-10* 3.58E-10* 2.02E-10* 7.53E-10* 1.68E-09* 6.97E-10* 2.82E-06* 2.09E-04* 2.57E-04* 9.29E-02* 8.51E-01* 17 0.3874 0.4114 0.4381 0.4680 0.5017 0.5400 0.5838 0.6344 0.6936 0.7636 0.8477 25814.7 24308.4 22826.0 21367.1 19931.5 18519.0 17129.5 15762.6 14418.2 13096.2 11796.2 7.23E-16 1.60E-16 4.86E-17 1.87E-17 3.65E-15 1.22E-14 3.79E-13 8.60E-12 9.70E-10 8.35E-08 2.78E-08 1.2646 1.2051 1.6125 -0.0650 1.1383 1.4183 1.7747 2.9927 0.8317 1.7779 -3.5078 2.08E-01 2.27E-01 1.06E-01 2.08E-01 2.48E-01 1.60E-01 7.08E-02 4.78E-04 3.25E-01 7.02E-02 1.29E-09 1.09E-09 2.40E-10 1.33E-11 ( 1.60E-11)( 3.60E-09)( 4.02E-09)( 1.94E-08)( 1.56E-11)( 6.23E-04)( 1.87E-03)( 1.54E-19) 1.09E-09* 2.39E-10* 1.28E-11* 1.19E-10* 3.00E-09* 4.69E-09* 1.22E-08* 1.02E-05* 4.35E-04* 5.42E-05* 1.73E-01* 18 0.3701 0.3919 0.4161 0.4430 0.4731 0.5070 0.5454 0.5893 0.6400 0.6992 0.7691 27021.2 25514.9 24032.5 22573.6 21138.0 19725.6 18336.0 16969.1 15624.8 14302.7 13002.7 2.83E-16 3.22E-18 1.07E-16 2.30E-18 9.98E-16 1.07E-14 1.03E-14 1.41E-12 8.97E-12 3.01E-09 1.38E-07 1.2560 0.9990 1.3780 3.7226 0.9329 1.1629 1.4559 1.8792 3.9585 1.0393 1.8760 2.11E-01 2.88E-01 1.72E-01 4.67E-06 3.05E-01 2.40E-01 1.49E-01 5.27E-02 8.05E-07 2.77E-01 5.32E-02 5.04E-10 9.01E-12 8.99E-11 ( 1.17E-21) 1.77E-09 ( 9.62E-09)( 2.87E-09)( 3.87E-08)( 4.49E-17)( 1.37E-03)( 1.74E-03) 5.04E-10* 9.07E-12* 9.24E-11* 1.32E-11* 1.65E-09* 7.94E-09* 5.70E-09* 8.48E-08* 3.17E-05* 8.03E-04* 1.15E-04* 19 0.3546 0.3746 0.3966 0.4210 0.4481 0.4783 0.5124 0.5510 0.5950 0.6459 0.7051 28201.8 26695.6 25213.1 23754.2 22318.6 20906.2 19516.6 18149.8 16805.4 15483.3 14183.4 1.33E-17 5.75E-17 6.42E-18 2.01E-17 2.47E-16 2.42E-15 1.90E-14 7.19E-16 4.19E-12 3.14E-12 8.08E-09 1.3175 1.2702 1.2300 0.9268 0.8348 0.9305 1.2053 1.5709 1.9951 8.0604 1.1958 1.91E-01 2.06E-01 2.19E-01 3.06E-01 3.25E-01 3.05E-01 2.27E-01 1.17E-01 3.69E-02 5.51E-29 2.30E-01 2.22E-11 9.45E-11 1.00E-11 5.10E-11 5.87E-10 ( 4.16E-09)( 1.48E-08)( 1.19E-10)( 5.49E-08)( 0.00E+00)( 2.47E-03) 2.22E-11* 9.49E-11* 1.06E-11* 4.96E-11* 6.01E-10* 3.74E-09* 1.17E-08* 4.96E-09* 4.60E-07* 8.60E-05* 1.31E-03* 20 0.3406 0.3591 0.3792 0.4015 0.4260 0.4533 0.4838 0.5180 0.5568 0.6010 0.6520 29356.7 27850.4 26368.0 24909.1 23473.5 22061.1 20671.5 19304.7 17960.3 16638.2 15338.3 3.78E-16 1.16E-16 3.45E-17 9.82E-17 4.89E-17 2.39E-16 4.67E-15 3.14E-14 3.58E-14 1.07E-11 3.53E-12 1.2695 1.2324 1.3891 1.2553 0.8727 0.6257 0.9751 1.2939 1.5077 2.1225 -7.7134 2.07E-01 2.18E-01 1.69E-01 2.11E-01 3.18E-01 3.46E-01 2.94E-01 1.99E-01 1.34E-01 2.41E-02 1.05E-35 8.26E-10 2.42E-10 3.66E-11 1.37E-10 1.29E-10 ( 6.21E-10)( 7.24E-09)( 1.81E-08)( 7.56E-09)( 5.76E-08)( 0.00E+00) 8.26E-10* 2.43E-10* 3.58E-11* 1.33E-10* 1.27E-10* 7.43E-10* 5.94E-09* 1.41E-08* 2.20E-09* 1.94E-06* 2.06E-04* 21 0.3280 0.3451 0.3637 0.3841 0.4065 0.4312 0.4587 0.4894 0.5239 0.5628 0.6073 30485.8 28979.6 27497.1 26038.2 24602.7 23190.2 21800.7 20433.8 19089.4 17767.3 16467.4 4.62E-16 6.23E-17 5.56E-17 5.69E-17 2.15E-18 9.12E-18 3.52E-16 7.85E-15 2.74E-14 4.65E-13 2.29E-11 1.2609 1.2020 1.3469 1.3092 1.5027 2.2652 0.6726 1.0744 1.4712 1.5523 2.2816 2.09E-01 2.28E-01 1.82E-01 1.94E-01 1.36E-01 1.43E-02 3.44E-01 2.67E-01 1.45E-01 1.22E-01 1.34E-02 1.16E-09 1.60E-10 7.78E-11 7.66E-11 ( 1.19E-12)( 4.68E-14) 8.74E-10 ( 9.68E-09)( 8.07E-09)( 7.86E-08)( 3.72E-08) 1.16E-09* 1.60E-10* 7.72E-11* 7.47E-11* 2.01E-12* 3.12E-13* 8.82E-10* 6.89E-09* 5.94E-09* 2.05E-10* 6.88E-06* V'V" 11 12 13 14 15 16 17 18 19 20 21 0 -0.7100 -0.6519 -0.6033 -0.5622 -0.5269 -0.4962 -0.4695 -0.4458 -0.4248 -0.4061 -0.3892 -14084.7 -15340.9 -16575.6 -17788.8 -18980.7 -20151.4 -21301.1 -22430.0 -23538.1 -24625.5 -25692.3 2.83E-07 7.48E-08 2.03E-08 5.69E-09 1.64E-09 4.84E-10 1.47E-10 4.54E-11 1.43E-11 4.51E-12 1.39E-12 0.9303 0.9149 0.9007 0.8876 0.8753 0.8634 0.8520 0.8409 0.8298 0.8170 0.7980 3.05E-01 3.09E-01 3.12E-01 3.15E-01 3.17E-01 3.19E-01 3.22E-01 3.24E-01 3.26E-01 3.28E-01 3.31E-01 -2.99E-01 -1.04E-01 -3.65E-02 -1.28E-02 -4.56E-03 -1.64E-03 -5.94E-04 -2.17E-04 -8.01E-05 -2.93E-05 -1.05E-05 -3.04E-01* -1.06E-01* -3.71E-02* -1.31E-02* -4.64E-03* -1.67E-03* -6.05E-04* -2.22E-04* -8.17E-05* -3.00E-05* -1.07E-05* 1 -0.8053 -0.7313 -0.6707 -0.6203 -0.5776 -0.5410 -0.5093 -0.4816 -0.4572 -0.4356 -0.4162 -12418.4 -13674.6 -14909.2 -16122.4 -17314.3 -18485.1 -19634.8 -20763.6 -21871.7 -22959.1 -24025.9 9.25E-06 2.61E-06 7.49E-07 2.20E-07 6.61E-08 2.03E-08 6.40E-09 2.05E-09 6.67E-10 2.18E-10 7.12E-11 0.9530 0.9359 0.9203 0.9059 0.8927 0.8803 0.8686 0.8570 0.8449 0.8314 0.8151 3.00E-01 3.04E-01 3.07E-01 3.11E-01 3.14E-01 3.16E-01 3.18E-01 3.21E-01 3.23E-01 3.25E-01 3.28E-01 -6.45E+00 -2.49E+00 -9.51E-01 -3.60E-01 -1.37E-01 -5.20E-02 -1.99E-02 -7.65E-03 -2.95E-03 -1.13E-03 -4.31E-04 -6.54E+00* -2.53E+00* -9.66E-01* -3.66E-01* -1.39E-01* -5.29E-02* -2.03E-02* -7.79E-03* -3.01E-03* -1.16E-03* -4.42E-04* 2 -0.9277 -0.8308 -0.7535 -0.6904 -0.6379 -0.5936 -0.5557 -0.5229 -0.4942 -0.4690 -0.4467 -10779.8 -12036.1 -13270.7 -14483.9 -15675.8 -16846.5 -17996.3 -19125.1 -20233.2 -21320.6 -22387.4 1.37E-04 4.19E-05 1.29E-05 4.01E-06 1.27E-06 4.07E-07 1.33E-07 4.43E-08 1.50E-08 5.13E-09 1.77E-09 0.9773 0.9587 0.9416 0.9258 0.9113 0.8978 0.8852 0.8732 0.8615 0.8496 0.8364 2.94E-01 2.98E-01 3.03E-01 3.06E-01 3.10E-01 3.12E-01 3.15E-01 3.18E-01 3.20E-01 3.22E-01 3.24E-01 -6.02E+01 -2.64E+01 -1.12E+01 -4.63E+00 -1.89E+00 -7.69E-01 -3.12E-01 -1.27E-01 -5.15E-02 -2.09E-02 -8.46E-03 -6.09E+01* -2.67E+01* -1.13E+01* -4.70E+00* -1.92E+00* -7.82E-01* -3.18E-01* -1.29E-01* -5.24E-02* -2.13E-02* -8.64E-03* 3 -1.0906 -0.9592 -0.8576 -0.7768 -0.7110 -0.6564 -0.6103 -0.5710 -0.5370 -0.5074 -0.4813 -9169.1 -10425.3 -11659.9 -12873.1 -14065.0 -15235.8 -16385.5 -17514.3 -18622.4 -19709.9 -20776.6 1.21E-03 4.08E-04 1.36E-04 4.54E-05 1.52E-05 5.14E-06 1.76E-06 6.11E-07 2.15E-07 7.65E-08 2.75E-08 1.0034 0.9831 0.9644 0.9472 0.9314 0.9167 0.9030 0.8902 0.8781 0.8662 0.8540 2.87E-01 2.92E-01 2.97E-01 3.01E-01 3.05E-01 3.08E-01 3.11E-01 3.14E-01 3.17E-01 3.19E-01 3.21E-01 -3.12E+02 -1.60E+02 -7.71E+01 -3.56E+01 -1.59E+01 -7.01E+00 -3.04E+00 -1.31E+00 -5.64E-01 -2.41E-01 -1.03E-01 -3.15E+02* -1.62E+02* -7.81E+01* -3.61E+01* -1.62E+01* -7.12E+00* -3.09E+00* -1.33E+00* -5.74E-01* -2.46E-01* -1.05E-01* 4 -1.3182 -1.1309 -0.9924 -0.8857 -0.8012 -0.7325 -0.6756 -0.6277 -0.5869 -0.5517 -0.5210 -7586.0 -8842.2 -10076.9 -11290.1 -12482.0 -13652.7 -14802.4 -15931.3 -17039.4 -18126.8 -19193.6 6.95E-03 2.65E-03 9.76E-04 3.54E-04 1.27E-04 4.58E-05 1.65E-05 6.01E-06 2.20E-06 8.17E-07 3.05E-07 1.0315 1.0093 0.9889 0.9702 0.9529 0.9370 0.9221 0.9083 0.8953 0.8830 0.8709 2.79E-01 2.85E-01 2.91E-01 2.96E-01 3.00E-01 3.04E-01 3.07E-01 3.10E-01 3.13E-01 3.16E-01 3.18E-01 -9.58E+02 -6.04E+02 -3.42E+02 -1.80E+02 -9.03E+01 -4.35E+01 -2.05E+01 -9.47E+00 -4.33E+00 -1.96E+00 -8.85E-01 -9.66E+02* -6.09E+02* -3.46E+02* -1.83E+02* -9.15E+01* -4.42E+01* -2.08E+01* -9.62E+00* -4.40E+00* -2.00E+00* -9.01E-01* 5 -1.6582 -1.3723 -1.1735 -1.0273 -0.9152 -0.8266 -0.7549 -0.6956 -0.6458 -0.6035 -0.5670 -6030.5 -7286.8 -8521.4 -9734.6 -10926.5 -12097.2 -13247.0 -14375.8 -15483.9 -16571.3 -17638.1 2.64E-02 1.18E-02 4.96E-03 2.00E-03 7.83E-04 3.03E-04 1.16E-04 4.47E-05 1.72E-05 6.65E-06 2.59E-06 1.0620 1.0375 1.0152 0.9948 0.9760 0.9586 0.9426 0.9276 0.9137 0.9006 0.8880 2.71E-01 2.78E-01 2.84E-01 2.89E-01 2.94E-01 2.98E-01 3.02E-01 3.06E-01 3.09E-01 3.12E-01 3.15E-01 -1.72E+03 -1.43E+03 -1.00E+03 -6.24E+02 -3.58E+02 -1.94E+02 -1.00E+02 -5.03E+01 -2.47E+01 -1.19E+01 -5.70E+00 -1.73E+03 -1.44E+03 -1.01E+03* -6.30E+02* -3.62E+02* -1.96E+02* -1.02E+02* -5.10E+01* -2.51E+01* -1.21E+01* -5.80E+00* 6 -2.2209 -1.7365 -1.4299 -1.2185 -1.0640 -0.9461 -0.8533 -0.7783 -0.7165 -0.6647 -0.6207 -4502.6 -5758.8 -6993.5 -8206.7 -9398.6 -10569.3 -11719.0 -12847.9 -13956.0 -15043.4 -16110.2 6.44E-02 3.61E-02 1.80E-02 8.26E-03 3.61E-03 1.53E-03 6.32E-04 2.59E-04 1.05E-04 4.28E-05 1.74E-05 1.0956 1.0682 1.0435 1.0211 1.0006 0.9818 0.9644 0.9482 0.9332 0.9191 0.9058 2.61E-01 2.69E-01 2.76E-01 2.82E-01 2.88E-01 2.93E-01 2.97E-01 3.01E-01 3.05E-01 3.08E-01 3.11E-01 -1.62E+03 -2.02E+03 -1.90E+03 -1.47E+03 -1.01E+03 -6.25E+02 -3.64E+02 -2.01E+02 -1.08E+02 -5.60E+01 -2.85E+01 -1.62E+03 -2.03E+03 -1.91E+03 -1.48E+03* -1.01E+03* -6.32E+02* -3.68E+02* -2.04E+02* -1.09E+02* -5.68E+01* -2.90E+01* 7 -3.3310 -2.3483 -1.8205 -1.4912 -1.2661 -1.1027 -0.9786 -0.8813 -0.8029 -0.7384 -0.6845 -3002.1 -4258.3 -5493.0 -6706.2 -7898.1 -9068.8 -10218.5 -11347.4 -12455.5 -13542.9 -14609.7 8.94E-02 7.15E-02 4.53E-02 2.49E-02 1.25E-02 5.92E-03 2.69E-03 1.19E-03 5.17E-04 2.23E-04 9.53E-05 1.1340 1.1022 1.0744 1.0496 1.0271 1.0065 0.9876 0.9701 0.9539 0.9388 0.9246 2.49E-01 2.59E-01 2.67E-01 2.74E-01 2.81E-01 2.86E-01 2.91E-01 2.96E-01 3.00E-01 3.03E-01 3.07E-01 -6.09E+02 -1.50E+03 -2.17E+03 -2.29E+03 -1.97E+03 -1.46E+03 -9.85E+02 -6.15E+02 -3.63E+02 -2.06E+02 -1.13E+02 -6.08E+02 -1.50E+03 -2.18E+03 -2.30E+03 -1.98E+03 -1.48E+03* -9.95E+02* -6.22E+02* -3.68E+02* -2.09E+02* -1.15E+02* V'V" 11 12 13 14 15 16 17 18 19 20 21 8 -6.5404 -3.5904 -2.4877 -1.9109 -1.5564 -1.3165 -1.1435 -1.0127 -0.9106 -0.8285 -0.7612 -1529.0 -2785.2 -4019.8 -5233.0 -6424.9 -7595.7 -8745.4 -9874.2 -10982.3 -12069.7 -13136.5 4.67E-02 7.82E-02 7.38E-02 5.27E-02 3.20E-02 1.75E-02 8.94E-03 4.35E-03 2.05E-03 9.44E-04 4.29E-04 1.1837 1.1417 1.1089 1.0807 1.0557 1.0331 1.0124 0.9934 0.9759 0.9596 0.9444 2.34E-01 2.47E-01 2.57E-01 2.65E-01 2.72E-01 2.79E-01 2.85E-01 2.90E-01 2.94E-01 2.98E-01 3.02E-01 -3.70E+01 -4.17E+02 -1.28E+03 -2.15E+03 -2.56E+03 -2.42E+03 -1.96E+03 -1.42E+03 -9.51E+02 -5.98E+02 -3.59E+02 -3.67E+01 -4.16E+02 -1.28E+03 -2.16E+03 -2.57E+03 -2.43E+03 -1.98E+03* -1.44E+03* -9.61E+02* -6.05E+02* -3.64E+02* 9 -120.4007 -7.4666 -3.8851 -2.6405 -2.0084 -1.6261 -1.3700 -1.1865 -1.0486 -0.9413 -0.8554 -83.1 -1339.3 -2573.9 -3787.1 -4979.0 -6149.8 -7299.5 -8428.3 -9536.4 -10623.8 -11690.6 5.58E-04 2.57E-02 6.31E-02 7.12E-02 5.76E-02 3.86E-02 2.29E-02 1.26E-02 6.54E-03 3.27E-03 1.59E-03 0.9748 1.1981 1.1499 1.1158 1.0871 1.0618 1.0391 1.0183 0.9993 0.9817 0.9653 2.94E-01 2.29E-01 2.44E-01 2.55E-01 2.63E-01 2.71E-01 2.77E-01 2.83E-01 2.88E-01 2.93E-01 2.97E-01 -1.12E-04 -1.32E+01 -2.60E+02 -1.02E+03 -2.00E+03 -2.66E+03 -2.78E+03 -2.45E+03 -1.91E+03 -1.36E+03 -9.09E+02 -1.20E-04* -1.30E+01 -2.59E+02 -1.02E+03 -2.00E+03 -2.67E+03 -2.79E+03 -2.46E+03 -1.92E+03* -1.38E+03* -9.19E+02* 10 7.4866 125.8257 -8.6568 -4.2223 -2.8088 -2.1137 -1.7005 -1.4266 -1.2319 -1.0864 -0.9735 1335.7 79.5 -1155.2 -2368.4 -3560.2 -4731.0 -5880.7 -7009.6 -8117.6 -9205.1 -10271.8 7.94E-02 7.09E-03 1.08E-02 4.66E-02 6.45E-02 5.93E-02 4.38E-02 2.83E-02 1.67E-02 9.24E-03 4.90E-03 1.2432 1.1493 1.2211 1.1591 1.1230 1.0937 1.0681 1.0451 1.0242 1.0051 0.9875 2.15E-01 2.45E-01 2.22E-01 2.42E-01 2.53E-01 2.61E-01 2.69E-01 2.76E-01 2.81E-01 2.86E-01 2.91E-01 1.77E+01 4.31E-04 -3.33E+00 -1.46E+02 -7.52E+02 -1.74E+03 -2.61E+03 -3.00E+03 -2.86E+03 -2.40E+03 -1.82E+03 1.77E+01 4.35E-04* -3.28E+00 -1.45E+02 -7.50E+02 -1.74E+03 -2.62E+03 -3.01E+03 -2.88E+03 -2.42E+03* -1.84E+03* 11 3.6664 6.7970 42.2656 -10.2397 -4.6115 -2.9947 -2.2277 -1.7801 -1.4868 -1.2799 -1.1261 2727.5 1471.2 236.6 -976.6 -2168.5 -3339.2 -4488.9 -5617.8 -6725.9 -7813.3 -8880.1 6.89E-02 8.71E-02 1.81E-02 2.42E-03 3.10E-02 5.48E-02 5.79E-02 4.73E-02 3.31E-02 2.10E-02 1.24E-02 1.3323 1.2527 1.1807 1.2801 1.1700 1.1307 1.1004 1.0743 1.0512 1.0302 1.0110 1.87E-01 2.12E-01 2.35E-01 2.03E-01 2.38E-01 2.50E-01 2.59E-01 2.67E-01 2.74E-01 2.80E-01 2.85E-01 9.87E+01 2.52E+01 2.68E-02 -3.78E-01 -7.26E+01 -5.18E+02 -1.43E+03 -2.42E+03 -3.06E+03 -3.17E+03 -2.85E+03 9.88E+01 2.52E+01 2.69E-02 -3.65E-01* -7.20E+01 -5.16E+02 -1.43E+03 -2.43E+03 -3.07E+03 -3.18E+03 -2.87E+03 12 2.4436 3.5260 6.2442 25.7543 -12.4439 -5.0650 -3.2009 -2.3513 -1.8653 -1.5508 -1.3306 4092.4 2836.1 1601.5 388.3 -803.6 -1974.3 -3124.1 -4252.9 -5361.0 -6448.4 -7515.2 2.62E-02 4.58E-02 8.77E-02 3.04E-02 3.35E-06 1.80E-02 4.36E-02 5.36E-02 4.86E-02 3.70E-02 2.51E-02 1.2687 1.3492 1.2618 1.1970 -1.4988 1.1840 1.1389 1.1073 1.0807 1.0573 1.0362 2.07E-01 1.81E-01 2.09E-01 2.30E-01 2.18E-03 2.34E-01 2.48E-01 2.57E-01 2.65E-01 2.72E-01 2.78E-01 1.56E+02 6.96E+01 3.19E+01 1.90E-01 (-3.35E-08) -3.06E+01 -3.31E+02 -1.11E+03 -2.14E+03 -2.97E+03 -3.33E+03 1.47E+02 6.98E+01 3.18E+01 1.90E-01 -9.52E-03* -3.02E+01 -3.29E+02 -1.10E+03 -2.14E+03 -2.98E+03 -3.35E+03 13 1.8415 2.3957 3.4018 5.7924 18.7087 -15.7176 -5.5992 -3.4308 -2.4858 -1.9568 -1.6189 5430.5 4174.2 2939.6 1726.4 534.5 -636.2 -1786.0 -2914.8 -4022.9 -5110.3 -6177.1 2.41E-01 4.15E-02 2.72E-02 8.26E-02 4.17E-02 2.28E-03 8.36E-03 3.23E-02 4.72E-02 4.78E-02 3.95E-02 1.5047 1.2949 1.3720 1.2709 1.2088 1.0903 1.2054 1.1481 1.1144 1.0872 1.0635 1.35E-01 1.99E-01 1.74E-01 2.06E-01 2.26E-01 2.62E-01 2.27E-01 2.45E-01 2.55E-01 2.63E-01 2.70E-01 1.43E+03 2.41E+02 4.26E+01 3.66E+01 6.58E-01 -1.64E-01 -9.95E+00 -1.94E+02 -8.12E+02 -1.79E+03 -2.75E+03 1.48E+03 2.29E+02 4.28E+01 3.65E+01 6.58E-01 -1.68E-01* -9.76E+00* -1.93E+02 -8.08E+02 -1.79E+03 -2.76E+03 14 1.4832 1.8229 2.3523 3.2917 5.4171 14.8089 -21.0768 -6.2371 -3.6881 -2.6324 -2.0552 6742.0 5485.7 4251.1 3037.9 1846.0 675.3 -474.5 -1603.3 -2711.4 -3798.8 -4865.6 3.08E-01 2.15E-01 5.58E-02 1.38E-02 7.36E-02 5.04E-02 7.70E-03 2.50E-03 2.18E-02 3.95E-02 4.50E-02 1.5851 1.5220 1.3113 1.4070 1.2802 1.2185 1.1436 1.2512 1.1588 1.1220 1.0939 1.13E-01 1.30E-01 1.93E-01 1.64E-01 2.03E-01 2.23E-01 2.46E-01 2.12E-01 2.42E-01 2.53E-01 2.61E-01 2.46E+03 1.22E+03 3.25E+02 2.10E+01 3.87E+01 1.56E+00 -2.02E-01 -1.88E+00 -1.03E+02 -5.61E+02 -1.43E+03 2.46E+03 1.28E+03 3.10E+02 2.12E+01 3.86E+01 1.56E+00 -2.04E-01* -1.82E+00* -1.02E+02 -5.57E+02 -1.43E+03 15 1.2458 1.4769 1.8063 2.3132 3.1938 5.1013 12.3369 -31.4197 -7.0108 -3.9781 -2.7929 8027.0 6770.8 5536.1 4322.9 3131.0 1960.3 810.6 -318.3 -1426.4 -2513.8 -3580.6 4.03E-02 3.32E-01 1.91E-01 6.79E-02 5.28E-03 6.23E-02 5.58E-02 1.47E-02 1.17E-04 1.31E-02 3.11E-02 1.7724 1.5974 1.5410 1.3230 1.4743 1.2900 1.2273 1.1656 1.5743 1.1724 1.1302 7.12E-02 1.10E-01 1.25E-01 1.90E-01 1.44E-01 2.00E-01 2.20E-01 2.39E-01 1.16E-01 2.37E-01 2.50E-01 ( 2.14E+02) 2.54E+03 1.02E+03 4.00E+02 6.77E+00 3.81E+01 2.92E+00 -1.10E-01 (-1.85E-02) -4.75E+01 -3.63E+02 1.68E+02 2.55E+03 1.09E+03 3.82E+02 6.87E+00* 3.79E+01 2.91E+00 -1.11E-01 -1.24E-02* -4.68E+01 -3.60E+02 V'V" 11 12 13 14 15 16 17 18 19 20 21 16 1.0769 1.2454 1.4717 1.7916 2.2780 3.1066 4.8326 10.6335 -59.6431 -7.9675 -4.3069 9285.7 8029.5 6794.8 5581.6 4389.7 3219.0 2069.3 940.4 -167.7 -1255.1 -2321.9 3.71E-05 4.50E-02 3.54E-01 1.70E-01 7.71E-02 9.89E-04 5.03E-02 5.80E-02 2.20E-02 6.31E-04 6.56E-03 4.3656 1.7929 1.6101 1.5620 1.3316 1.6900 1.3006 1.2356 1.1795 1.0016 1.1924 2.87E-08 6.74E-02 1.07E-01 1.19E-01 1.87E-01 8.82E-02 1.97E-01 2.17E-01 2.35E-01 2.87E-01 2.31E-01 ( 4.94E-14)( 2.14E+02) 2.58E+03 8.51E+02 4.62E+02 ( 5.21E-01) 3.50E+01 4.62E+00 -2.33E-02 -4.17E-01 -1.78E+01 1.71E+01* 1.62E+02 2.60E+03 9.15E+02 4.41E+02 4.46E-01* 3.49E+01 4.60E+00 -2.33E-02 -4.47E-01* -1.74E+01* 17 0.9507 1.0797 1.2457 1.4675 1.7786 2.2464 3.0287 4.6021 9.3910 -442.8894 -9.1798 10518.2 9262.0 8027.3 6814.1 5622.3 4451.5 3301.8 2172.9 1064.9 -22.6 -1089.4 8.71E-05 4.26E-06 4.90E-02 3.75E-01 1.52E-01 8.33E-02 3.17E-05 3.88E-02 5.71E-02 2.86E-02 3.27E-03 1.6506 10.6440 1.8148 1.6232 1.5849 1.3380 -0.7355 1.3124 1.2436 1.1902 1.1054 9.72E-02 0.00E+00 6.34E-02 1.04E-01 1.13E-01 1.85E-01 4.45E-02 1.93E-01 2.15E-01 2.32E-01 2.58E-01 ( 1.94E+00)( 0.00E+00)( 2.06E+02) 2.59E+03 7.01E+02 5.09E+02 ( 4.58E-03) 3.01E+01 6.45E+00 -7.18E-05 -1.14E+00 8.70E-01* 2.58E+01* 1.50E+02 2.62E+03 7.66E+02 4.85E+02 1.44E+00* 3.00E+01 6.43E+00 -7.18E-05 -1.16E+00* 18 0.8529 0.9552 1.0830 1.2468 1.4644 1.7674 2.2181 2.9591 4.4027 8.4465 85.3599 11724.7 10468.5 9233.8 8020.6 6828.8 5658.0 4508.3 3379.4 2271.4 1183.9 117.2 2.76E-07 1.24E-04 1.06E-05 5.21E-02 3.94E-01 1.37E-01 8.67E-02 1.48E-03 2.85E-02 5.40E-02 3.39E-02 -0.3961 1.7083 -4.6265 1.8386 1.6368 1.6098 1.3425 1.0306 1.3261 1.2515 1.1993 1.11E-01 8.43E-02 7.88E-15 5.93E-02 1.01E-01 1.07E-01 1.84E-01 2.80E-01 1.89E-01 2.12E-01 2.29E-01 ( 1.10E-02)( 2.05E+00)( 1.05E-27)( 1.91E+02) 2.57E+03 ( 5.76E+02) 5.42E+02 9.02E+00 2.41E+01 8.19E+00 5.79E-03 2.99E-01* 7.67E-01* 3.70E+01* 1.31E+02 2.62E+03 6.40E+02 5.14E+02 8.67E+00* 2.40E+01 8.15E+00 5.78E-03 19 0.7749 0.8584 0.9602 1.0868 1.2485 1.4623 1.7578 2.1929 2.8969 4.2291 7.7054 12905.4 11649.1 10414.5 9201.3 8009.4 6838.7 5688.9 4560.1 3452.0 2364.6 1297.8 2.04E-07 1.11E-06 1.67E-04 9.86E-05 5.41E-02 4.12E-01 1.25E-01 8.75E-02 4.48E-03 1.98E-02 4.92E-02 1.9935 0.4191 1.7684 -0.5645 1.8646 1.6507 1.6367 1.3451 1.1657 1.3428 1.2594 3.71E-02 3.33E-01 7.20E-02 7.27E-02 5.50E-02 9.72E-02 1.01E-01 1.83E-01 2.39E-01 1.83E-01 2.10E-01 ( 1.22E-03)( 3.94E-01)( 1.98E+00)( 8.24E-01)( 1.70E+02) 2.52E+03 ( 4.72E+02) 5.61E+02 2.14E+01 1.78E+01 9.59E+00 1.74E-03* 4.79E-01* 5.39E-01* 5.07E+01* 1.07E+02 2.59E+03 5.35E+02 5.29E+02 2.05E+01* 1.78E+01 9.54E+00 20 0.7112 0.7810 0.8644 0.9656 1.0912 1.2510 1.4612 1.7498 2.1707 2.8413 4.0772 14060.2 12804.0 11569.4 10356.2 9164.3 7993.5 6843.8 5715.0 4606.9 3519.5 2452.7 1.92E-08 2.68E-07 3.16E-06 2.13E-04 3.24E-04 5.48E-02 4.29E-01 1.17E-01 8.62E-02 8.35E-03 1.29E-02 1.3242 2.1456 0.8069 1.8333 0.3629 1.8934 1.6651 1.6651 1.3455 1.2190 1.3646 1.89E-01 2.22E-02 3.29E-01 6.02E-02 3.24E-01 5.05E-02 9.39E-02 9.39E-02 1.83E-01 2.23E-01 1.77E-01 ( 3.88E-03)( 5.62E-04)( 1.07E+00)( 1.73E+00)( 5.31E+01)( 1.45E+02) 2.46E+03 ( 3.88E+02) 5.69E+02 3.66E+01 1.20E+01 1.87E-03* 8.00E-03* 7.17E-01* 2.42E-01* 6.65E+01* 8.10E+01 2.54E+03 4.49E+02 5.33E+02 3.54E+01* 1.20E+01 21 0.6584 0.7177 0.7875 0.8707 0.9715 1.0962 1.2542 1.4611 1.7434 2.1512 2.7919 15189.4 13933.1 12698.5 11485.3 10293.4 9122.7 7973.0 6844.1 5736.0 4648.6 3581.8 9.34E-11 4.12E-08 3.03E-07 7.42E-06 2.55E-04 7.54E-04 5.40E-02 4.46E-01 1.11E-01 8.29E-02 1.26E-02 -1.0135 1.4374 2.3643 1.0419 1.9061 0.7830 1.9259 1.6800 1.6947 1.3430 1.2506 1.73E-02 1.54E-01 9.65E-03 2.76E-01 4.87E-02 3.33E-01 4.58E-02 9.05E-02 8.72E-02 1.83E-01 2.13E-01 ( 1.99E-07)( 5.39E-03)( 1.17E-04)( 1.74E+00)( 1.34E+00)( 1.29E+02)( 1.16E+02) 2.37E+03 ( 3.23E+02) 5.68E+02 5.29E+01 4.46E-04* 2.25E-03* 2.48E-02* 1.00E+00* 1.85E-02* 8.41E+01* 5.44E+01 2.48E+03 3.82E+02 5.25E+02 5.16E+01 SUMS OVER F-C FACTORS AND EINSTEIN COEFFICIENTS POSITIVE INVERSE NEGATIVE INVERSE TRANSITION TRANSITION TRANSITION TRANSITION F-C FACTORS PROB (1/s) PROB (s) F-C FACTORS PROB (1/s) PROB (s) V' SUM OVER V" SUM OVER V" V" SUM OVER V' SUM OVER V' 0 1.000 9.736E+01 1.027E-02 0 1.000 0.000E+00 0.000E+00 1 1.000 6.308E+02 1.585E-03 1 1.000 -1.517E+00 -6.593E-01 2 1.000 1.171E+03 8.541E-04 2 1.000 -1.167E+02 -8.572E-03 3 1.000 1.693E+03 5.905E-04 3 1.000 -3.461E+02 -2.889E-03 4 1.000 2.183E+03 4.581E-04 4 1.000 -6.893E+02 -1.451E-03 5 1.000 2.628E+03 3.805E-04 5 1.000 -1.138E+03 -8.786E-04 6 1.000 3.022E+03 3.309E-04 6 1.000 -1.680E+03 -5.952E-04 7 1.000 3.361E+03 2.975E-04 7 1.000 -2.301E+03 -4.347E-04 8 1.000 3.644E+03 2.744E-04 8 1.000 -2.987E+03 -3.348E-04 9 0.999 3.871E+03 2.583E-04 9 1.000 -3.730E+03 -2.681E-04 10 0.995 4.045E+03 2.472E-04 10 1.000 -4.517E+03 -2.214E-04 11 0.985 4.168E+03 2.399E-04 11 1.000 -5.342E+03 -1.872E-04 12 0.963 4.245E+03 2.356E-04 12 1.000 -6.196E+03 -1.614E-04 13 0.924 4.279E+03 2.337E-04 13 1.000 -7.070E+03 -1.414E-04 14 0.868 4.276E+03 2.338E-04 14 1.000 -7.958E+03 -1.257E-04 15 0.814 4.241E+03 2.358E-04 15 1.000 -8.853E+03 -1.130E-04 16 0.784 4.177E+03 2.394E-04* 16 1.000 -9.749E+03 -1.026E-04 17 0.787 4.090E+03 2.445E-04* 17 0.998 -1.064E+04 -9.399E-05 18 0.788 3.984E+03 2.510E-04* 18 0.945 -1.152E+04 -8.679E-05 19 0.753 3.864E+03 2.588E-04* 19 0.486 -1.239E+04 -8.072E-05 20 0.709 3.722E+03 2.687E-04* 20 0.366 -1.323E+04 -7.556E-05 21 0.708 3.574E+03 2.798E-04* 21 0.278 -1.405E+04 -7.115E-05