Date: 5/ 9/ 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+ (B 2SU+ --> X 2SG+ ) 1ST NEGATV (N=0) SYSTEM SPECTROSCOPIC CONSTANTS: UPPER STATE: B 2SU+ EQ. ENERGY: Te = 150029.1 CM-1 VIB ENERGY: GV = ( 2.42083E+03)(V+.5) -( 2.3851E+01)(V+.5)**2 +( -3.587E-01)(V+.5)**3+( -6.19E-02)(V+.5)**4 +( 0.00E+00)(V+.5)**5+( 0.00E+00)(V+.5)**6 REF: Lah&Gil 91 ROT CONST : BV = ( 2.08450)-( 0.021320)(V+.5)+(-8.50E-04)(V+.5)**2 +( 0.00E+00)(V+.5)**3+( 0.00E+00)(V+.5)**4 REF: Lah&Gil 91 EQUILIBRIUM INTERNUCLEAR DISTANCE: re = 1.074736 Angstroms DISSOCIATION ENERGY: De = 45912. CM-1 LOWER STATE: X 2SG+ EQ. ENERGY: Te = 124567.9 CM-1 VIB ENERGY: GV = ( 2.20737E+03)(V+.5) -( 1.6302E+01)(V+.5)**2 +( -2.670E-03)(V+.5)**3+( -2.61E-03)(V+.5)**4 +( 3.70E-05)(V+.5)**5+( 0.00E+00)(V+.5)**6 REF: Lah&Gil 91 ROT CONST : BV = ( 1.93177)-( 0.019000)(V+.5)+(-1.91E-04)(V+.5)**2 +(-5.00E-06)(V+.5)**3+( 4.60E-08)(V+.5)**4 REF: Lah&Gil 91 EQUILIBRIUM INTERNUCLEAR DISTANCE: re = 1.116413 Angstroms DISSOCIATION ENERGY: De = 71373. 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 = 0.000E+00 EXP(- 0.000(R - 0.00)**2) + ( 1.051E+00) + ( 0.000E+00) * EXP(- 0.000* R) + ( 2.033E-01) * R + (-4.646E-01) * 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 0.3912 0.4275 0.4706 0.5225 0.5861 0.6659 0.7687 0.9064 1.1000 1.3922 1.8832 25564.7 23389.8 21247.6 19138.1 17061.7 15018.4 13008.6 11032.5 9090.5 7182.9 5310.1 6.63E-01 2.53E-01 6.58E-02 1.45E-02 2.98E-03 6.04E-04 1.26E-04 2.78E-05 6.71E-06 1.82E-06 5.67E-07 1.0995 1.0508 1.0113 0.9762 0.9450 0.9179 0.8953 0.8778 0.8659 0.8598 0.8593 7.13E-01 7.52E-01 7.81E-01 8.07E-01 8.28E-01 8.46E-01 8.61E-01 8.71E-01 8.79E-01 8.82E-01 8.83E-01 1.14E+07 3.71E+06 7.81E+05 1.34E+05 2.06E+04 2.97E+03 4.15E+02 5.74E+01 7.89E+00 1.06E+00 1.34E-01 1.14E+07 3.71E+06 7.84E+05 1.35E+05 2.07E+04* 2.99E+03* 4.18E+02* 5.77E+01* 7.93E+00* 1.07E+00* 1.34E-01* 1 0.3580 0.3882 0.4234 0.4649 0.5146 0.5750 0.6502 0.7460 0.8724 1.0466 1.3018 27936.3 25761.3 23619.1 21509.6 19433.2 17389.9 15380.1 13404.0 11462.0 9554.4 7681.6 2.92E-01 2.37E-01 2.87E-01 1.29E-01 4.07E-02 1.10E-02 2.76E-03 6.91E-04 1.79E-04 4.99E-05 1.54E-05 1.1527 1.1115 1.0567 1.0169 0.9818 0.9508 0.9238 0.9012 0.8836 0.8716 0.8653 6.68E-01 7.03E-01 7.47E-01 7.77E-01 8.03E-01 8.24E-01 8.42E-01 8.57E-01 8.68E-01 8.75E-01 8.79E-01 5.75E+06 4.06E+06 4.27E+06 1.57E+06 3.90E+05 7.94E+04 1.45E+04 2.48E+03 4.12E+02 6.76E+01 1.09E+01 5.76E+06 4.03E+06 4.28E+06 1.57E+06 3.92E+05 7.99E+04 1.46E+04* 2.49E+03* 4.14E+02* 6.79E+01* 1.10E+01* 2 0.3305 0.3561 0.3855 0.4197 0.4597 0.5074 0.5650 0.6360 0.7257 0.8423 1.0000 30254.5 28079.5 25937.3 23827.9 21751.4 19708.1 17698.3 15722.3 13780.3 11872.6 9999.8 4.31E-02 4.02E-01 5.72E-02 2.30E-01 1.63E-01 6.97E-02 2.37E-02 7.23E-03 2.13E-03 6.39E-04 2.03E-04 1.2191 1.1609 1.1357 1.0628 1.0224 0.9873 0.9565 0.9297 0.9072 0.8897 0.8776 6.08E-01 6.61E-01 6.83E-01 7.42E-01 7.73E-01 7.99E-01 8.20E-01 8.38E-01 8.53E-01 8.64E-01 8.72E-01 8.94E+05 7.88E+06 9.43E+05 3.48E+06 2.04E+06 6.90E+05 1.79E+05 4.00E+04 8.22E+03 1.62E+03 3.12E+02 9.02E+05 7.88E+06 9.27E+05 3.47E+06 2.04E+06 6.93E+05 1.80E+05 4.02E+04* 8.27E+03* 1.63E+03* 3.14E+02* 3 0.3076 0.3296 0.3546 0.3833 0.4165 0.4552 0.5011 0.5561 0.6234 0.7076 0.8157 32514.1 30339.2 28197.0 26087.5 24011.0 21967.8 19958.0 17981.9 16039.9 14132.3 12259.4 2.14E-03 1.01E-01 4.19E-01 3.52E-03 1.53E-01 1.67E-01 9.32E-02 3.89E-02 1.41E-02 4.84E-03 1.66E-03 1.3210 1.2284 1.1702 1.2654 1.0689 1.0279 0.9925 0.9620 0.9355 0.9132 0.8958 5.09E-01 6.00E-01 6.53E-01 5.64E-01 7.37E-01 7.69E-01 7.95E-01 8.17E-01 8.35E-01 8.49E-01 8.60E-01 3.86E+04 2.06E+06 8.10E+06 4.03E+04 2.33E+06 2.13E+06 9.49E+05 3.06E+05 8.22E+04 1.99E+04 4.58E+03 3.98E+04* 2.08E+06 8.09E+06 3.77E+04* 2.32E+06 2.13E+06 9.52E+05 3.07E+05 8.26E+04 2.01E+04* 4.61E+03* 4 0.2881 0.3074 0.3290 0.3536 0.3816 0.4139 0.4514 0.4956 0.5484 0.6125 0.6919 34708.5 32533.6 30391.3 28281.9 26205.4 24162.2 22152.4 20176.3 18234.3 16326.7 14453.8 7.48E-06 6.26E-03 1.60E-01 3.95E-01 4.21E-03 8.62E-02 1.50E-01 1.07E-01 5.36E-02 2.28E-02 8.97E-03 1.8293 1.3401 1.2386 1.1808 0.9370 1.0751 1.0335 0.9975 0.9673 0.9411 0.9192 -1.32E-01 4.89E-01 5.90E-01 6.43E-01 8.34E-01 7.33E-01 7.65E-01 7.91E-01 8.13E-01 8.31E-01 8.45E-01 ( 1.10E+01) 1.04E+05 3.17E+06 7.50E+06 1.07E+05 1.32E+06 1.93E+06 1.11E+06 4.35E+05 1.39E+05 3.92E+04 2.21E-01* 1.08E+05* 3.19E+06 7.46E+06 1.19E+05* 1.31E+06 1.93E+06 1.11E+06 4.37E+05 1.39E+05 3.94E+04* 5 0.2715 0.2886 0.3076 0.3289 0.3530 0.3805 0.4120 0.4485 0.4913 0.5421 0.6033 36829.5 34654.6 32512.4 30402.9 28326.4 26283.2 24273.4 22297.3 20355.3 18447.7 16574.8 2.34E-06 3.94E-06 1.10E-02 2.13E-01 3.63E-01 2.07E-02 3.99E-02 1.21E-01 1.08E-01 6.50E-02 3.20E-02 1.1665 2.8861 1.3640 1.2496 1.1932 1.0168 1.0807 1.0394 1.0021 0.9724 0.9465 6.56E-01 -2.23E+00 4.64E-01 5.80E-01 6.32E-01 7.77E-01 7.28E-01 7.60E-01 7.88E-01 8.09E-01 8.27E-01 1.02E+02 ( 1.65E+03) 1.64E+05 4.07E+06 6.68E+06 4.59E+05 6.12E+05 1.57E+06 1.15E+06 5.42E+05 2.02E+05 1.10E+02* 3.49E+02* 1.72E+05 4.09E+06 6.63E+06 4.83E+05 6.07E+05 1.56E+06 1.15E+06 5.44E+05 2.03E+05 6 0.2573 0.2725 0.2894 0.3082 0.3293 0.3531 0.3801 0.4109 0.4466 0.4881 0.5373 38867.8 36692.9 34550.6 32441.2 30364.7 28321.5 26311.7 24335.6 22393.6 20486.0 18613.1 8.84E-08 1.79E-05 1.34E-05 1.43E-02 2.56E-01 3.39E-01 3.44E-02 1.32E-02 8.91E-02 1.00E-01 7.11E-02 1.5229 1.2327 -0.0984 1.3958 1.2617 1.2077 1.0192 1.0817 1.0467 1.0062 0.9774 2.83E-01 5.96E-01 1.03E+00 4.30E-01 5.68E-01 6.19E-01 7.76E-01 7.27E-01 7.55E-01 7.85E-01 8.06E-01 ( 8.43E-01) 6.35E+02 ( 1.18E+03) 1.82E+05 4.69E+06 5.97E+06 7.64E+05 2.03E+05 1.15E+06 1.08E+06 6.03E+05 1.13E+00* 6.74E+02* 4.15E+03* 1.94E+05 4.72E+06 5.90E+06 8.01E+05 2.01E+05 1.15E+06 1.08E+06 6.05E+05 7 0.2450 0.2588 0.2740 0.2908 0.3095 0.3304 0.3539 0.3805 0.4109 0.4458 0.4864 40812.9 38637.9 36495.7 34386.3 32309.8 30266.5 28256.7 26280.7 24338.7 22431.1 20558.2 5.82E-09 2.53E-07 6.98E-05 2.64E-04 1.44E-02 2.90E-01 3.30E-01 3.84E-02 1.56E-03 6.09E-02 8.50E-02 1.0638 1.7456 1.2920 0.8674 1.4437 1.2751 1.2243 0.9936 1.0398 1.0575 1.0091 7.41E-01 -9.81E-03 5.38E-01 8.78E-01 3.76E-01 5.55E-01 6.04E-01 7.94E-01 7.60E-01 7.46E-01 7.83E-01 ( 4.41E-01)( 2.84E-03) 1.99E+03 ( 1.68E+04) 1.39E+05 5.02E+06 5.50E+06 8.90E+05 2.63E+04 7.76E+05 9.18E+05 4.98E-01* 3.18E-01* 2.11E+03* 2.04E+04* 1.54E+05 5.04E+06 5.42E+06 9.44E+05 2.64E+04* 7.68E+05 9.19E+05 V'V" 0 1 2 3 4 5 6 7 8 9 10 8 0.2344 0.2470 0.2609 0.2760 0.2928 0.3115 0.3323 0.3556 0.3820 0.4120 0.4465 42653.3 40478.3 38336.1 36226.7 34150.2 32106.9 30097.1 28121.1 26179.1 24271.4 22398.6 3.03E-10 9.94E-08 3.77E-08 1.77E-04 1.39E-03 1.03E-02 3.11E-01 3.43E-01 3.16E-02 7.97E-04 3.92E-02 1.6528 1.1988 3.9364 1.3553 1.0785 1.5331 1.2900 1.2426 0.9262 1.2930 1.0779 1.18E-01 6.27E-01 -5.35E+00 4.73E-01 7.30E-01 2.71E-01 5.40E-01 5.86E-01 8.41E-01 5.37E-01 7.30E-01 ( 6.61E-04) 5.25E+00 ( 1.23E+02) 3.81E+03 6.00E+04 ( 5.07E+04) 5.02E+06 5.31E+06 8.13E+05 6.66E+03 4.76E+05 2.15E-03* 5.68E+00* 1.88E+01* 4.11E+03* 6.49E+04* 6.55E+04 5.04E+06 5.20E+06 8.96E+05 6.36E+03* 4.66E+05 9 0.2253 0.2370 0.2496 0.2635 0.2788 0.2956 0.3143 0.3351 0.3584 0.3847 0.4145 44377.3 42202.3 40060.1 37950.6 35874.2 33830.9 31821.1 29845.0 27903.0 25995.4 24122.6 2.83E-11 5.02E-10 6.81E-07 2.21E-06 2.93E-04 4.52E-03 3.36E-03 3.12E-01 3.77E-01 1.75E-02 8.71E-03 1.2048 2.4759 1.2983 0.6988 1.4415 1.1812 1.8162 1.3067 1.2614 0.7461 1.2359 6.22E-01 -1.29E+00 5.32E-01 9.66E-01 3.79E-01 6.43E-01 -1.12E-01 5.23E-01 5.68E-01 9.44E-01 5.93E-01 ( 1.93E-03)( 1.28E-01) 2.51E+01 ( 2.29E+02)( 3.93E+03) 1.47E+05 ( 2.77E+03) 4.60E+06 5.35E+06 ( 5.55E+05) 8.70E+04 2.35E-03* 2.74E-02* 2.70E+01* 3.24E+02* 4.51E+03* 1.53E+05* 1.90E+02* 4.61E+06 5.23E+06 6.94E+05 8.20E+04* 10 0.2175 0.2283 0.2401 0.2529 0.2669 0.2823 0.2992 0.3180 0.3390 0.3624 0.3888 45975.1 43800.2 41657.9 39548.5 37472.0 35428.7 33418.9 31442.9 29500.9 27593.3 25720.4 3.47E-12 8.65E-10 5.91E-09 2.36E-06 3.23E-05 2.50E-04 1.06E-02 3.01E-04 2.79E-01 4.27E-01 3.74E-03 1.4757 1.3592 0.3943 1.4072 1.0955 1.6252 1.2510 -0.6894 1.3262 1.2791 -0.0365 3.39E-01 4.69E-01 1.06E+00 4.17E-01 7.16E-01 1.54E-01 5.78E-01 6.90E-01 5.03E-01 5.51E-01 1.04E+00 7.87E-05 ( 3.24E-02)( 9.70E-01)( 5.15E+01) 1.77E+03 ( 5.36E+02) 2.68E+05 ( 9.03E+03) 3.68E+06 5.52E+06 ( 1.40E+05) 7.40E-05* 3.90E-02* 1.81E+00* 5.78E+01* 1.95E+03* 1.13E+03* 2.76E+05 1.17E+05* 3.69E+06 5.37E+06 4.23E+05* V'V" 11 12 13 14 15 16 17 18 19 20 21 0 2.8799 5.9878 -103.9263 -5.4763 -2.8418 -1.9327 -1.4726 -1.1950 -1.0095 -0.8769 -0.7776 3472.3 1670.1 -96.2 -1826.0 -3518.8 -5174.0 -6790.8 -8368.4 -9906.2 -11403.4 -12859.5 2.05E-07 8.58E-08 4.12E-08 2.22E-08 1.31E-08 8.31E-09 5.55E-09 3.86E-09 2.77E-09 2.04E-09 1.54E-09 0.8633 0.8702 0.8779 0.8851 0.8909 0.8951 0.8978 0.8994 0.9001 0.9003 0.9001 8.80E-01 8.76E-01 8.71E-01 8.67E-01 8.63E-01 8.61E-01 8.59E-01 8.58E-01 8.58E-01 8.57E-01 8.58E-01 1.35E-02 6.21E-04 -5.65E-08 -2.06E-04 -8.63E-04 -1.73E-03 -2.60E-03 -3.37E-03 -4.01E-03 -4.51E-03 -4.87E-03 1.35E-02* 6.21E-04* -5.64E-08* -2.06E-04* -8.62E-04* -1.73E-03* -2.60E-03* -3.37E-03* -4.01E-03* -4.51E-03* -4.87E-03* 1 1.7112 2.4743 4.3950 18.3328 -8.7159 -3.5683 -2.2628 -1.6675 -1.3272 -1.1072 -0.9535 5843.8 4041.6 2275.3 545.5 -1147.3 -2802.5 -4419.2 -5996.9 -7534.7 -9031.8 -10488.0 5.36E-06 2.14E-06 9.74E-07 5.00E-07 2.85E-07 1.76E-07 1.15E-07 7.96E-08 5.69E-08 4.20E-08 3.17E-08 0.8643 0.8675 0.8732 0.8797 0.8859 0.8908 0.8945 0.8970 0.8985 0.8993 0.8996 8.80E-01 8.78E-01 8.74E-01 8.70E-01 8.67E-01 8.63E-01 8.61E-01 8.60E-01 8.59E-01 8.58E-01 8.58E-01 1.68E+00 2.20E-01 1.78E-02 1.25E-04 -6.54E-04 -5.84E-03 -1.50E-02 -2.57E-02 -3.64E-02 -4.61E-02 -5.46E-02 1.68E+00* 2.21E-01* 1.78E-02* 1.24E-04* -6.53E-04* -5.83E-03* -1.49E-02* -2.57E-02* -3.64E-02* -4.61E-02* -5.45E-02* 2 1.2252 1.5724 2.1770 3.4920 8.5406 -20.6504 -4.7596 -2.7184 -1.9170 -1.4895 -1.2240 8162.0 6359.8 4593.5 2863.7 1170.9 -484.3 -2101.0 -3678.7 -5216.4 -6713.6 -8169.7 7.04E-05 2.72E-05 1.19E-05 5.84E-06 3.19E-06 1.90E-06 1.22E-06 8.30E-07 5.89E-07 4.33E-07 3.27E-07 0.8710 0.8694 0.8717 0.8763 0.8817 0.8868 0.8910 0.8942 0.8964 0.8978 0.8987 8.76E-01 8.77E-01 8.75E-01 8.72E-01 8.69E-01 8.66E-01 8.63E-01 8.61E-01 8.60E-01 8.59E-01 8.58E-01 5.94E+01 1.09E+01 1.79E+00 2.11E-01 7.83E-03 -3.28E-04 -1.71E-02 -6.21E-02 -1.25E-01 -1.96E-01 -2.66E-01 5.97E+01* 1.09E+01* 1.79E+00* 2.11E-01* 7.82E-03* -3.28E-04* -1.71E-02* -6.21E-02* -1.25E-01* -1.96E-01* -2.66E-01* 3 0.9595 1.1602 1.4592 1.9519 2.9150 5.6325 63.0382 -7.0471 -3.3820 -2.2452 -1.6920 10421.7 8619.4 6853.2 5123.3 3430.5 1775.4 158.6 -1419.0 -2956.8 -4454.0 -5910.1 5.95E-04 2.30E-04 9.82E-05 4.66E-05 2.45E-05 1.41E-05 8.83E-06 5.88E-06 4.12E-06 3.00E-06 2.26E-06 0.8837 0.8768 0.8746 0.8760 0.8795 0.8838 0.8879 0.8914 0.8942 0.8961 0.8975 8.68E-01 8.72E-01 8.73E-01 8.73E-01 8.70E-01 8.68E-01 8.65E-01 8.63E-01 8.61E-01 8.60E-01 8.59E-01 1.03E+03 2.27E+02 4.89E+01 9.66E+00 1.52E+00 1.21E-01 5.35E-05 -2.54E-02 -1.60E-01 -3.97E-01 -6.97E-01 1.03E+03* 2.28E+02* 4.90E+01* 9.68E+00* 1.52E+00* 1.21E-01* 5.34E-05* -2.53E-02* -1.60E-01* -3.97E-01* -6.97E-01* 4 0.7926 0.9247 1.1053 1.3665 1.7778 2.5190 4.2499 12.8972 -13.1163 -4.4256 -2.6913 12616.1 10813.8 9047.5 7317.7 5624.9 3969.8 2353.0 775.4 -762.4 -2259.6 -3715.7 3.49E-03 1.40E-03 6.02E-04 2.81E-04 1.44E-04 8.06E-05 4.89E-05 3.18E-05 2.19E-05 1.58E-05 1.18E-05 0.9020 0.8899 0.8827 0.8799 0.8804 0.8828 0.8861 0.8893 0.8922 0.8945 0.8961 8.56E-01 8.64E-01 8.68E-01 8.70E-01 8.70E-01 8.68E-01 8.66E-01 8.64E-01 8.63E-01 8.61E-01 8.60E-01 1.04E+04 2.69E+03 6.81E+02 1.69E+02 3.92E+01 7.70E+00 9.69E-01 2.25E-02 -1.46E-02 -2.74E-01 -9.06E-01 1.05E+04* 2.70E+03* 6.84E+02* 1.69E+02* 3.93E+01* 7.71E+00* 9.70E-01* 2.25E-02* -1.46E-02* -2.74E-01* -9.06E-01* 5 0.6786 0.7731 0.8954 1.0595 1.2910 1.6418 2.2351 3.4526 7.3604 -72.1709 -6.2709 14737.1 12934.8 11168.6 9438.7 7745.9 6090.8 4474.0 2896.4 1358.6 -138.6 -1594.7 1.43E-02 6.29E-03 2.82E-03 1.33E-03 6.75E-04 3.71E-04 2.20E-04 1.40E-04 9.47E-05 6.72E-05 4.97E-05 0.9251 0.9082 0.8961 0.8887 0.8853 0.8849 0.8863 0.8886 0.8910 0.8932 0.8950 8.41E-01 8.52E-01 8.60E-01 8.65E-01 8.67E-01 8.67E-01 8.66E-01 8.65E-01 8.63E-01 8.62E-01 8.61E-01 6.59E+04 2.00E+04 5.88E+03 1.69E+03 4.77E+02 1.28E+02 3.00E+01 5.16E+00 3.59E-01 -2.69E-04 -3.03E-01 6.62E+04 2.01E+04* 5.91E+03* 1.70E+03* 4.79E+02* 1.28E+02* 3.00E+01* 5.16E+00* 3.59E-01* -2.69E-04* -3.02E-01* 6 0.5961 0.6679 0.7572 0.8713 1.0221 1.2301 1.5355 2.0265 2.9439 5.2639 22.5423 16775.4 14973.1 13206.9 11477.0 9784.2 8129.1 6512.3 4934.7 3396.9 1899.7 443.6 4.01E-02 2.04E-02 9.98E-03 4.95E-03 2.56E-03 1.40E-03 8.23E-04 5.16E-04 3.43E-04 2.40E-04 1.76E-04 0.9517 0.9308 0.9143 0.9023 0.8946 0.8907 0.8894 0.8899 0.8913 0.8929 0.8945 8.24E-01 8.38E-01 8.49E-01 8.56E-01 8.61E-01 8.64E-01 8.64E-01 8.64E-01 8.63E-01 8.62E-01 8.61E-01 2.60E+05 9.72E+04 3.35E+04 1.11E+04 3.60E+03 1.14E+03 3.44E+02 9.38E+01 2.03E+01 2.48E+00 2.30E-02 2.61E+05 9.76E+04 3.37E+04* 1.12E+04* 3.61E+03* 1.14E+03* 3.45E+02* 9.39E+01* 2.03E+01* 2.48E+00* 2.30E-02* 7 0.5342 0.5911 0.6600 0.7450 0.8526 0.9926 1.1824 1.4535 1.8720 2.6009 4.1864 18720.4 16918.2 15151.9 13422.1 11729.3 10074.1 8457.4 6879.7 5342.0 3844.8 2388.7 7.12E-02 4.56E-02 2.61E-02 1.42E-02 7.75E-03 4.36E-03 2.57E-03 1.61E-03 1.06E-03 7.33E-04 5.31E-04 0.9822 0.9565 0.9363 0.9202 0.9083 0.9005 0.8960 0.8940 0.8936 0.8941 0.8951 8.02E-01 8.20E-01 8.34E-01 8.45E-01 8.52E-01 8.57E-01 8.60E-01 8.61E-01 8.62E-01 8.61E-01 8.61E-01 6.09E+05 3.01E+05 1.28E+05 4.96E+04 1.84E+04 6.64E+03 2.33E+03 7.86E+02 2.43E+02 6.26E+01 1.09E+01 6.10E+05 3.02E+05 1.28E+05 4.98E+04 1.85E+04* 6.66E+03* 2.34E+03* 7.88E+02* 2.43E+02* 6.27E+01* 1.09E+01* V'V" 11 12 13 14 15 16 17 18 19 20 21 8 0.4864 0.5331 0.5885 0.6552 0.7369 0.8393 0.9711 1.1468 1.3923 1.7590 2.3646 20560.8 18758.6 16992.3 15262.5 13569.7 11914.5 10297.8 8720.1 7182.4 5685.2 4229.1 6.58E-02 6.56E-02 4.75E-02 3.03E-02 1.82E-02 1.09E-02 6.63E-03 4.20E-03 2.77E-03 1.92E-03 1.38E-03 1.0094 0.9876 0.9609 0.9414 0.9259 0.9142 0.9060 0.9011 0.8986 0.8974 0.8971 7.83E-01 7.99E-01 8.17E-01 8.31E-01 8.41E-01 8.49E-01 8.54E-01 8.57E-01 8.59E-01 8.59E-01 8.59E-01 7.10E+05 5.60E+05 3.15E+05 1.50E+05 6.53E+04 2.69E+04 1.07E+04 4.14E+03 1.53E+03 5.26E+02 1.56E+02 7.11E+05 5.59E+05 3.16E+05 1.51E+05 6.56E+04 2.70E+04 1.07E+04* 4.15E+03* 1.54E+03* 5.27E+02* 1.56E+02* 9 0.4487 0.4882 0.5343 0.5887 0.6539 0.7332 0.8318 0.9575 1.1228 1.3497 1.6798 22284.8 20482.6 18716.3 16986.5 15293.7 13638.5 12021.8 10444.1 8906.3 7409.2 5953.0 2.47E-02 4.56E-02 5.58E-02 4.51E-02 3.20E-02 2.12E-02 1.38E-02 9.03E-03 6.08E-03 4.24E-03 3.07E-03 1.1218 1.0034 0.9944 0.9647 0.9463 0.9310 0.9199 0.9115 0.9059 0.9029 0.9013 6.94E-01 7.87E-01 7.94E-01 8.15E-01 8.27E-01 8.38E-01 8.45E-01 8.50E-01 8.54E-01 8.56E-01 8.57E-01 2.67E+05 4.91E+05 4.67E+05 2.97E+05 1.59E+05 7.63E+04 3.46E+04 1.51E+04 6.35E+03 2.56E+03 9.63E+02 2.57E+05 4.95E+05 4.65E+05 2.98E+05 1.59E+05 7.66E+04 3.47E+04 1.51E+04* 6.37E+03* 2.57E+03* 9.64E+02* 10 0.4187 0.4529 0.4923 0.5381 0.5920 0.6563 0.7342 0.8304 0.9520 1.1102 1.3244 23882.6 22080.4 20314.1 18584.3 16891.5 15236.4 13619.6 12041.9 10504.2 9007.0 7550.9 2.61E-02 1.68E-02 2.70E-02 4.39E-02 3.90E-02 3.07E-02 2.22E-02 1.56E-02 1.10E-02 7.86E-03 5.76E-03 1.2595 1.2100 0.9808 1.0048 0.9675 0.9513 0.9354 0.9251 0.9169 0.9107 0.9068 5.70E-01 6.17E-01 8.03E-01 7.86E-01 8.13E-01 8.24E-01 8.35E-01 8.41E-01 8.47E-01 8.51E-01 8.53E-01 2.34E+05 1.40E+05 2.96E+05 3.53E+05 2.52E+05 1.49E+05 7.90E+04 3.92E+04 1.85E+04 8.42E+03 3.66E+03 2.18E+05 1.30E+05 3.03E+05 3.50E+05 2.52E+05 1.50E+05 7.93E+04 3.93E+04 1.86E+04 8.44E+03* 3.66E+03* 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 1.604E+07 6.233E-08 0 1.000 0.000E+00 0.000E+00 1 1.000 1.614E+07 6.197E-08 1 1.000 0.000E+00 0.000E+00 2 1.000 1.615E+07 6.193E-08 2 1.000 0.000E+00 0.000E+00 3 1.000 1.606E+07 6.225E-08 3 1.000 0.000E+00 0.000E+00 4 1.000 1.587E+07 6.302E-08 4 1.000 0.000E+00 0.000E+00 5 1.000 1.554E+07 6.436E-08 5 1.000 0.000E+00 0.000E+00 6 0.999 1.506E+07 6.640E-08 6 0.999 0.000E+00 0.000E+00 7 0.997 1.441E+07 6.938E-08 7 0.980 0.000E+00 0.000E+00 8 0.993 1.359E+07 7.359E-08 8 0.956 0.000E+00 0.000E+00 9 0.983 1.259E+07 7.946E-08 9 0.700 0.000E+00 0.000E+00 10 0.967 1.144E+07 8.745E-08 10 0.251 0.000E+00 0.000E+00 11 0.246 0.000E+00 0.000E+00 12 0.202 0.000E+00 0.000E+00 13 0.170 -5.641E-08 -1.773E+07 14 0.140 -2.056E-04 -4.863E+03 15 0.100 -1.515E-03 -6.600E+02 16 0.069 -7.886E-03 -1.268E+02 17 0.046 -3.465E-02 -2.886E+01 18 0.031 -1.164E-01 -8.588E+00 19 0.021 -3.401E-01 -2.940E+00 20 0.015 -9.172E-01 -1.090E+00 21 0.011 -2.230E+00 -4.483E-01