Date: 5/ 24/ 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 O2 (B 3SU- --> X 3SG- ) SCHU-RUNGE SYSTEM SPECTROSCOPIC CONSTANTS: UPPER STATE: B 3SU- EQ. ENERGY: Te = 49005.0 CM-1 VIB ENERGY: GV = ( 7.12830E+02)(V+.5) -( 1.3182E+01)(V+.5)**2 +( 5.502E-01)(V+.5)**3+( -7.39E-02)(V+.5)**4 +( 2.37E-03)(V+.5)**5+( -1.71E-05)(V+.5)**6 REF: New fit 91 ROT CONST : BV = ( 0.82233)-( 0.016987)(V+.5)+( 1.11E-03)(V+.5)**2 +(-1.59E-04)(V+.5)**3+( 3.60E-06)(V+.5)**4 REF: New fit 91 EQUILIBRIUM INTERNUCLEAR DISTANCE: re = 1.601030 Angstroms DISSOCIATION ENERGY: De = 8123. CM-1 LOWER STATE: X 3SG- EQ. ENERGY: Te = -787.2 CM-1 VIB ENERGY: GV = ( 1.58039E+03)(V+.5) -( 1.2112E+01)(V+.5)**2 +( 7.540E-02)(V+.5)**3+( -4.09E-03)(V+.5)**4 +( 1.30E-04)(V+.5)**5+( -2.21E-06)(V+.5)**6 REF: Lah&Gil 91 ROT CONST : BV = ( 1.44510)-( 0.015230)(V+.5)+(-8.25E-05)(V+.5)**2 +( 7.25E-06)(V+.5)**3+(-2.09E-07)(V+.5)**4 REF: Lah&Gil 91 EQUILIBRIUM INTERNUCLEAR DISTANCE: re = 1.207740 Angstroms DISSOCIATION ENERGY: De = 42047. 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) (By substituting the r-centroid for r in the Re(r) function referenced below) 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 Allison et al. (1986, Table 3) for r<1.7 A and Lewis and Gibson (1990) for r>1.7 A V'V" 0 1 2 3 4 5 6 7 8 9 10 0 0.2026 0.2092 0.2161 0.2234 0.2311 0.2392 0.2477 0.2567 0.2663 0.2764 0.2871 49357.7 47801.2 46268.4 44759.0 43272.8 41809.6 40369.3 38951.7 37556.9 36184.7 34835.3 3.30E-09 9.70E-08 1.37E-06 1.23E-05 7.91E-05 3.90E-04 1.53E-03 4.88E-03 1.29E-02 2.88E-02 5.45E-02 1.3753 1.3895 1.4042 1.4193 1.4348 1.4506 1.4668 1.4833 1.5003 1.5176 1.5355 7.57E-01 7.44E-01 7.31E-01 7.18E-01 7.04E-01 6.91E-01 6.78E-01 6.64E-01 6.51E-01 6.38E-01 6.23E-01 4.61E-01 1.19E+01 1.47E+02 1.15E+03 6.44E+03 2.76E+04 9.35E+04 2.58E+05 5.89E+05 1.13E+06 1.82E+06 4.61E-01* 1.19E+01* 1.47E+02* 1.15E+03* 6.46E+03* 2.76E+04* 9.37E+04* 2.58E+05* 5.89E+05 1.12E+06 1.81E+06 1 0.1998 0.2062 0.2130 0.2200 0.2275 0.2353 0.2436 0.2523 0.2615 0.2712 0.2815 50045.3 48488.8 46956.0 45446.6 43960.3 42497.1 41056.8 39639.2 38244.4 36872.3 35522.8 3.66E-08 9.76E-07 1.23E-05 9.82E-05 5.53E-04 2.34E-03 7.67E-03 2.00E-02 4.17E-02 6.93E-02 9.07E-02 1.3690 1.3829 1.3973 1.4121 1.4273 1.4428 1.4587 1.4748 1.4913 1.5082 1.5254 7.62E-01 7.50E-01 7.37E-01 7.24E-01 7.10E-01 6.98E-01 6.84E-01 6.71E-01 6.58E-01 6.45E-01 6.32E-01 5.40E+00 1.27E+02 1.41E+03 9.79E+03 4.80E+04 1.77E+05 5.04E+05 1.14E+06 2.05E+06 2.93E+06 3.28E+06 5.39E+00* 1.27E+02* 1.41E+03* 9.80E+03* 4.81E+04* 1.77E+05* 5.05E+05* 1.14E+06 2.05E+06 2.93E+06 3.28E+06 2 0.1972 0.2034 0.2100 0.2169 0.2241 0.2317 0.2397 0.2481 0.2570 0.2664 0.2763 50709.6 49153.1 47620.3 46110.9 44624.7 43161.5 41721.1 40303.6 38908.8 37536.6 36187.2 2.16E-07 5.25E-06 5.96E-05 4.20E-04 2.06E-03 7.43E-03 2.02E-02 4.21E-02 6.63E-02 7.61E-02 5.75E-02 1.3630 1.3767 1.3908 1.4053 1.4202 1.4354 1.4510 1.4668 1.4828 1.4991 1.5154 7.67E-01 7.56E-01 7.43E-01 7.30E-01 7.17E-01 7.04E-01 6.91E-01 6.78E-01 6.65E-01 6.52E-01 6.39E-01 3.36E+01 7.21E+02 7.20E+03 4.45E+04 1.91E+05 5.99E+05 1.42E+06 2.57E+06 3.50E+06 3.47E+06 2.26E+06 3.36E+01* 7.20E+02* 7.20E+03* 4.45E+04* 1.91E+05* 6.01E+05* 1.42E+06 2.57E+06 3.50E+06 3.46E+06 2.26E+06 3 0.1947 0.2008 0.2072 0.2139 0.2209 0.2283 0.2361 0.2442 0.2528 0.2619 0.2715 51351.1 49794.6 48261.8 46752.4 45266.2 43803.0 42362.6 40945.1 39550.2 38178.1 36828.6 8.94E-07 1.98E-05 2.02E-04 1.26E-03 5.38E-03 1.64E-02 3.66E-02 5.90E-02 6.55E-02 4.34E-02 9.54E-03 1.3574 1.3708 1.3846 1.3988 1.4134 1.4284 1.4436 1.4591 1.4746 1.4900 1.5034 7.72E-01 7.61E-01 7.49E-01 7.36E-01 7.23E-01 7.09E-01 6.97E-01 6.84E-01 6.71E-01 6.59E-01 6.49E-01 1.46E+02 2.86E+03 2.58E+04 1.42E+05 5.29E+05 1.41E+06 2.74E+06 3.84E+06 3.70E+06 2.12E+06 4.06E+05 1.46E+02* 2.86E+03* 2.58E+04* 1.42E+05* 5.29E+05* 1.41E+06 2.74E+06 3.84E+06 3.70E+06 2.12E+06 4.06E+05* 4 0.1924 0.1984 0.2046 0.2111 0.2179 0.2251 0.2327 0.2406 0.2490 0.2578 0.2670 51968.9 50412.4 48879.6 47370.2 45884.0 44420.8 42980.4 41562.9 40168.0 38795.9 37446.4 2.87E-06 5.81E-05 5.35E-04 2.96E-03 1.09E-02 2.80E-02 4.99E-02 5.93E-02 4.05E-02 8.50E-03 2.85E-03 1.3520 1.3651 1.3787 1.3926 1.4070 1.4217 1.4366 1.4517 1.4666 1.4795 1.5091 7.76E-01 7.65E-01 7.54E-01 7.42E-01 7.29E-01 7.15E-01 7.03E-01 6.90E-01 6.78E-01 6.67E-01 6.44E-01 4.92E+02 8.83E+03 7.20E+04 3.51E+05 1.14E+06 2.54E+06 3.96E+06 4.11E+06 2.45E+06 4.48E+05 1.26E+05 4.93E+02* 8.83E+03* 7.19E+04* 3.51E+05* 1.14E+06 2.55E+06 3.97E+06 4.11E+06 2.44E+06 4.47E+05* 1.26E+05* 5 0.1903 0.1961 0.2021 0.2085 0.2152 0.2222 0.2295 0.2372 0.2453 0.2539 0.2629 52561.4 51004.9 49472.1 47962.7 46476.5 45013.3 43572.9 42155.4 40760.6 39388.4 38038.9 7.58E-06 1.40E-04 1.17E-03 5.73E-03 1.82E-02 3.88E-02 5.38E-02 4.33E-02 1.27E-02 8.50E-04 2.43E-02 1.3470 1.3598 1.3731 1.3868 1.4009 1.4153 1.4299 1.4446 1.4581 1.4907 1.4948 7.81E-01 7.70E-01 7.59E-01 7.47E-01 7.34E-01 7.21E-01 7.08E-01 6.96E-01 6.85E-01 6.59E-01 6.55E-01 1.36E+03 2.24E+04 1.65E+05 7.14E+05 2.00E+06 3.73E+06 4.52E+06 3.18E+06 8.18E+05 4.56E+04 1.16E+06 1.36E+03* 2.24E+04* 1.65E+05* 7.13E+05* 2.00E+06 3.73E+06 4.53E+06 3.18E+06 8.14E+05 4.64E+04* 1.16E+06 6 0.1882 0.1939 0.1999 0.2061 0.2126 0.2194 0.2266 0.2341 0.2420 0.2503 0.2590 53126.4 51569.9 50037.1 48527.7 47041.4 45578.2 44137.9 42720.4 41325.5 39953.4 38603.9 1.70E-05 2.89E-04 2.17E-03 9.45E-03 2.59E-02 4.51E-02 4.66E-02 2.15E-02 2.50E-04 1.45E-02 3.47E-02 1.3423 1.3549 1.3679 1.3813 1.3951 1.4093 1.4236 1.4375 1.4330 1.4726 1.4862 7.84E-01 7.74E-01 7.63E-01 7.52E-01 7.39E-01 7.27E-01 7.14E-01 7.02E-01 7.06E-01 6.73E-01 6.62E-01 3.17E+03 4.80E+04 3.21E+05 1.24E+06 2.98E+06 4.57E+06 4.14E+06 1.67E+06 1.78E+04 8.51E+05 1.78E+06 3.18E+03* 4.81E+04* 3.21E+05* 1.23E+06* 2.98E+06 4.57E+06 4.14E+06 1.67E+06 1.70E+04* 8.55E+05 1.78E+06 7 0.1864 0.1919 0.1977 0.2038 0.2102 0.2169 0.2239 0.2312 0.2389 0.2470 0.2555 53661.1 52104.6 50571.8 49062.4 47576.2 46113.0 44672.7 43255.1 41860.3 40488.1 39138.7 3.30E-05 5.17E-04 3.53E-03 1.36E-02 3.20E-02 4.50E-02 3.25E-02 5.47E-03 4.47E-03 2.74E-02 2.40E-02 1.3379 1.3503 1.3630 1.3762 1.3897 1.4036 1.4175 1.4296 1.4528 1.4647 1.4784 7.88E-01 7.78E-01 7.67E-01 7.56E-01 7.44E-01 7.32E-01 7.19E-01 7.08E-01 6.89E-01 6.80E-01 6.68E-01 6.42E+03 8.97E+04 5.45E+05 1.87E+06 3.87E+06 4.79E+06 3.03E+06 4.50E+05 3.16E+05 1.70E+06 1.30E+06 6.44E+03* 8.98E+04* 5.45E+05* 1.86E+06 3.87E+06 4.79E+06 3.03E+06 4.48E+05* 3.19E+05* 1.70E+06 1.30E+06 V'V" 0 1 2 3 4 5 6 7 8 9 10 8 0.1846 0.1901 0.1958 0.2018 0.2080 0.2145 0.2214 0.2285 0.2361 0.2440 0.2523 54162.8 52606.3 51073.5 49564.1 48077.9 46614.6 45174.3 43756.8 42361.9 40989.8 39640.3 5.67E-05 8.23E-04 5.12E-03 1.76E-02 3.53E-02 3.92E-02 1.76E-02 2.04E-05 1.50E-02 2.74E-02 7.86E-03 1.3338 1.3460 1.3585 1.3714 1.3847 1.3982 1.4115 1.3673 1.4445 1.4579 1.4699 7.92E-01 7.81E-01 7.71E-01 7.60E-01 7.49E-01 7.37E-01 7.25E-01 7.64E-01 6.96E-01 6.85E-01 6.75E-01 1.14E+04 1.48E+05 8.21E+05 2.51E+06 4.46E+06 4.36E+06 1.73E+06 ( 2.02E+03) 1.12E+06 1.79E+06 4.52E+05 1.15E+04* 1.48E+05* 8.21E+05* 2.50E+06 4.45E+06 4.36E+06 1.73E+06 1.83E+03* 1.12E+06 1.79E+06 4.50E+05* 9 0.1831 0.1884 0.1940 0.1999 0.2060 0.2124 0.2191 0.2261 0.2335 0.2412 0.2493 54628.4 53071.9 51539.1 50029.7 48543.5 47080.3 45640.0 44222.4 42827.6 41455.4 40106.0 8.74E-05 1.18E-03 6.71E-03 2.06E-02 3.52E-02 3.01E-02 6.75E-03 2.69E-03 2.18E-02 1.80E-02 2.41E-04 1.3301 1.3421 1.3544 1.3671 1.3801 1.3932 1.4053 1.4276 1.4384 1.4516 1.4441 7.95E-01 7.85E-01 7.74E-01 7.64E-01 7.53E-01 7.41E-01 7.30E-01 7.10E-01 7.01E-01 6.90E-01 6.96E-01 1.82E+04 2.20E+05 1.12E+06 3.04E+06 4.63E+06 3.50E+06 6.93E+05 2.38E+05 1.71E+06 1.24E+06 1.53E+04 1.83E+04* 2.20E+05* 1.12E+06* 3.04E+06 4.62E+06 3.50E+06 6.93E+05* 2.40E+05* 1.71E+06 1.24E+06 1.47E+04* 10 0.1816 0.1869 0.1924 0.1982 0.2042 0.2105 0.2171 0.2240 0.2312 0.2388 0.2467 55055.4 53498.9 51966.1 50456.7 48970.5 47507.2 46066.9 44649.4 43254.5 41882.4 40532.9 1.22E-04 1.54E-03 8.07E-03 2.22E-02 3.24E-02 2.06E-02 1.25E-03 8.24E-03 2.20E-02 7.76E-03 2.04E-03 1.3267 1.3385 1.3507 1.3631 1.3758 1.3885 1.3963 1.4205 1.4330 1.4453 1.4707 7.97E-01 7.88E-01 7.77E-01 7.67E-01 7.57E-01 7.45E-01 7.38E-01 7.17E-01 7.06E-01 6.95E-01 6.75E-01 2.63E+04 2.97E+05 1.39E+06 3.39E+06 4.41E+06 2.49E+06 1.35E+05 7.63E+05 1.79E+06 5.59E+05 1.25E+05 2.64E+04* 2.97E+05* 1.39E+06* 3.39E+06 4.40E+06 2.49E+06 1.35E+05* 7.65E+05* 1.80E+06 5.57E+05* 1.27E+05* 11 0.1804 0.1856 0.1910 0.1967 0.2026 0.2088 0.2153 0.2220 0.2291 0.2366 0.2444 55441.3 53884.8 52352.0 50842.6 49356.4 47893.2 46452.9 45035.3 43640.5 42268.3 40918.9 1.57E-04 1.86E-03 9.00E-03 2.23E-02 2.78E-02 1.27E-02 1.05E-05 1.26E-02 1.74E-02 1.67E-03 7.24E-03 1.3238 1.3354 1.3473 1.3596 1.3720 1.3840 1.4826 1.4156 1.4282 1.4371 1.4618 8.00E-01 7.90E-01 7.80E-01 7.70E-01 7.60E-01 7.49E-01 6.65E-01 7.21E-01 7.10E-01 7.02E-01 6.82E-01 3.46E+04 3.68E+05 1.59E+06 3.52E+06 3.91E+06 1.58E+06 9.47E+02 1.21E+06 1.48E+06 1.26E+05 4.67E+05 3.48E+04* 3.69E+05* 1.59E+06* 3.52E+06 3.90E+06 1.58E+06 9.04E+02* 1.22E+06 1.48E+06 1.25E+05* 4.71E+05* 12 0.1793 0.1844 0.1898 0.1954 0.2012 0.2073 0.2137 0.2204 0.2274 0.2347 0.2424 55784.7 54228.2 52695.4 51186.0 49699.8 48236.6 46796.2 45378.7 43983.9 42611.7 41262.3 1.86E-04 2.08E-03 9.41E-03 2.11E-02 2.26E-02 6.96E-03 1.03E-03 1.44E-02 1.16E-02 7.56E-07 1.10E-02 1.3211 1.3326 1.3444 1.3564 1.3686 1.3798 1.4045 1.4114 1.4239 1.1367 1.4564 8.02E-01 7.93E-01 7.83E-01 7.73E-01 7.63E-01 7.53E-01 7.31E-01 7.25E-01 7.13E-01 5.32E-01 6.86E-01 4.21E+04 4.23E+05 1.71E+06 3.43E+06 3.26E+06 8.98E+05 1.14E+05 1.43E+06 1.02E+06 ( 3.36E+01) 7.35E+05 4.23E+04* 4.24E+05* 1.71E+06* 3.43E+06 3.26E+06 8.98E+05* 1.13E+05* 1.43E+06 1.02E+06 7.53E+01* 7.39E+05 V'V" 11 12 13 14 15 16 17 18 19 20 21 0 0.2984 0.3105 0.3234 0.3371 0.3517 0.3674 0.3842 0.4022 0.4216 0.4424 0.4648 33508.5 32204.4 30923.1 29664.7 28429.3 27217.0 26028.1 24862.9 23721.7 22604.9 21513.0 8.81E-02 1.22E-01 1.46E-01 1.51E-01 1.35E-01 1.05E-01 7.13E-02 4.18E-02 2.12E-02 9.24E-03 3.44E-03 1.5540 1.5731 1.5929 1.6135 1.6349 1.6572 1.6804 1.7048 1.7303 1.7573 1.7861 6.08E-01 5.93E-01 5.76E-01 5.59E-01 5.42E-01 5.23E-01 5.04E-01 4.84E-01 4.64E-01 4.42E-01 4.19E-01 2.48E+06 2.90E+06 2.91E+06 2.50E+06 1.85E+06 1.18E+06 6.47E+05 3.05E+05 1.23E+05 4.22E+04 1.22E+04 2.48E+06 2.90E+06 2.91E+06 2.50E+06 1.85E+06 1.18E+06 6.47E+05 3.05E+05 1.23E+05 4.21E+04* 1.21E+04* 1 0.2924 0.3040 0.3163 0.3295 0.3434 0.3584 0.3743 0.3914 0.4097 0.4293 0.4504 34196.0 32891.9 31610.7 30352.2 29116.8 27904.5 26715.6 25550.4 24409.2 23292.4 22200.5 8.98E-02 6.13E-02 2.14E-02 1.25E-04 1.73E-02 6.40E-02 1.10E-01 1.29E-01 1.14E-01 8.08E-02 4.64E-02 1.5431 1.5609 1.5781 1.5427 1.6281 1.6471 1.6687 1.6918 1.7161 1.7418 1.7690 6.17E-01 6.03E-01 5.88E-01 6.18E-01 5.47E-01 5.32E-01 5.14E-01 4.95E-01 4.75E-01 4.54E-01 4.32E-01 2.77E+06 1.61E+06 4.74E+05 2.70E+03 2.59E+05 7.97E+05 1.12E+06 1.06E+06 7.59E+05 4.27E+05 1.92E+05 2.77E+06 1.61E+06 4.75E+05 2.71E+03* 2.59E+05 7.97E+05 1.12E+06 1.06E+06 7.59E+05 4.27E+05 1.92E+05 2 0.2869 0.2980 0.3098 0.3224 0.3358 0.3500 0.3652 0.3815 0.3988 0.4174 0.4374 34860.4 33556.3 32275.0 31016.6 29781.2 28568.9 27380.0 26214.8 25073.5 23956.7 22864.9 2.08E-02 3.03E-05 1.91E-02 5.76E-02 6.94E-02 3.90E-02 3.90E-03 9.98E-03 5.89E-02 1.10E-01 1.26E-01 1.5310 1.4433 1.5756 1.5924 1.6112 1.6301 1.6415 1.6871 1.7051 1.7285 1.7540 6.27E-01 6.97E-01 5.90E-01 5.77E-01 5.61E-01 5.46E-01 5.36E-01 4.99E-01 4.84E-01 4.65E-01 4.44E-01 7.02E+05 1.13E+03 4.53E+05 1.16E+06 1.17E+06 5.49E+05 4.66E+04 9.06E+04 4.40E+05 6.62E+05 6.01E+05 7.02E+05 1.22E+03* 4.52E+05 1.16E+06 1.17E+06 5.49E+05 4.65E+04* 9.09E+04* 4.41E+05 6.62E+05 6.01E+05 3 0.2817 0.2924 0.3038 0.3159 0.3287 0.3423 0.3569 0.3724 0.3889 0.4065 0.4254 35501.9 34197.8 32916.5 31658.1 30422.7 29210.4 28021.5 26856.2 25715.0 24598.2 23506.4 2.33E-03 3.14E-02 5.45E-02 3.49E-02 2.80E-03 1.22E-02 5.29E-02 6.28E-02 2.64E-02 7.75E-07 3.00E-02 1.5366 1.5456 1.5620 1.5787 1.5867 1.6282 1.6445 1.6642 1.6833 0.3848 1.7448 6.23E-01 6.15E-01 6.02E-01 5.88E-01 5.81E-01 5.47E-01 5.34E-01 5.17E-01 5.02E-01 2.66E-01 4.52E-01 8.20E+04 9.63E+05 1.43E+06 7.76E+05 5.39E+04 1.85E+05 6.72E+05 6.60E+05 2.29E+05 ( 1.65E+00) 1.61E+05 8.13E+04* 9.60E+05 1.42E+06 7.76E+05 5.41E+04* 1.85E+05 6.72E+05 6.60E+05 2.28E+05 4.93E+01* 1.61E+05 4 0.2769 0.2872 0.2982 0.3098 0.3222 0.3353 0.3492 0.3640 0.3798 0.3966 0.4145 36119.7 34815.6 33534.3 32275.9 31040.5 29828.2 28639.3 27474.0 26332.8 25216.0 24124.2 3.08E-02 4.49E-02 1.89E-02 2.15E-04 2.65E-02 4.95E-02 2.42E-02 1.60E-05 2.87E-02 6.30E-02 4.19E-02 1.5191 1.5344 1.5492 1.6202 1.5940 1.6107 1.6275 1.8908 1.6800 1.6993 1.7198 6.37E-01 6.24E-01 6.12E-01 5.54E-01 5.75E-01 5.62E-01 5.48E-01 3.34E-01 5.04E-01 4.89E-01 4.72E-01 1.19E+06 1.50E+06 5.40E+05 4.49E+03 5.32E+05 8.39E+05 3.45E+05 7.51E+01 2.70E+05 4.88E+05 2.65E+05 1.19E+06 1.49E+06 5.41E+05 4.40E+03* 5.32E+05 8.39E+05 3.45E+05 7.80E+01* 2.70E+05 4.89E+05 2.65E+05 5 0.2724 0.2824 0.2930 0.3042 0.3161 0.3287 0.3421 0.3563 0.3714 0.3875 0.4046 36712.2 35408.1 34126.8 32868.4 31633.0 30420.7 29231.8 28066.6 26925.3 25808.5 24716.7 3.91E-02 1.54E-02 7.73E-04 2.72E-02 3.85E-02 9.10E-03 5.53E-03 4.01E-02 3.82E-02 3.47E-03 1.56E-02 1.5093 1.5230 1.5676 1.5651 1.5806 1.5934 1.6320 1.6437 1.6614 1.6682 1.7185 6.44E-01 6.33E-01 5.97E-01 5.99E-01 5.86E-01 5.76E-01 5.44E-01 5.34E-01 5.20E-01 5.14E-01 4.73E-01 1.63E+06 5.56E+05 2.22E+04 7.03E+05 8.48E+05 1.72E+05 8.28E+04 5.13E+05 4.08E+05 3.19E+04 1.07E+05 1.63E+06 5.56E+05 2.18E+04* 7.02E+05 8.49E+05 1.72E+05* 8.28E+04* 5.13E+05 4.08E+05 3.18E+04* 1.07E+05 6 0.2683 0.2780 0.2883 0.2991 0.3106 0.3227 0.3356 0.3493 0.3638 0.3792 0.3955 37277.1 35973.1 34691.8 33433.4 32197.9 30985.7 29796.8 28631.5 27490.3 26373.5 25281.7 1.83E-02 5.15E-05 2.14E-02 3.27E-02 6.37E-03 7.35E-03 3.61E-02 2.23E-02 1.08E-04 2.89E-02 4.27E-02 1.4998 1.6001 1.5392 1.5535 1.5644 1.6000 1.6123 1.6278 1.7466 1.6784 1.6960 6.52E-01 5.70E-01 6.20E-01 6.09E-01 6.00E-01 5.70E-01 5.60E-01 5.47E-01 4.50E-01 5.06E-01 4.91E-01 8.14E+05 1.58E+03 6.98E+05 9.18E+05 1.55E+05 1.44E+05 6.08E+05 3.18E+05 9.24E+02 2.75E+05 3.37E+05 8.13E+05 1.51E+03* 6.95E+05 9.18E+05 1.56E+05* 1.44E+05* 6.08E+05 3.18E+05 9.46E+02* 2.75E+05 3.38E+05 7 0.2645 0.2739 0.2839 0.2944 0.3055 0.3173 0.3297 0.3429 0.3568 0.3716 0.3874 37811.9 36507.8 35226.5 33968.1 32732.7 31520.4 30331.5 29166.3 28025.0 26908.2 25816.4 1.26E-03 1.24E-02 2.97E-02 8.96E-03 4.10E-03 2.97E-02 1.82E-02 4.66E-04 2.74E-02 2.91E-02 6.92E-04 1.4820 1.5161 1.5290 1.5408 1.5750 1.5843 1.5985 1.6626 1.6454 1.6613 1.6442 6.65E-01 6.39E-01 6.29E-01 6.19E-01 5.91E-01 5.83E-01 5.72E-01 5.19E-01 5.33E-01 5.20E-01 5.34E-01 6.12E+04 4.97E+05 1.04E+06 2.73E+05 1.02E+05 6.41E+05 3.37E+05 6.30E+03 3.48E+05 3.11E+05 6.87E+03 6.08E+04* 4.95E+05 1.04E+06 2.73E+05* 1.01E+05* 6.41E+05 3.38E+05 6.30E+03* 3.48E+05 3.11E+05 6.79E+03* V'V" 11 12 13 14 15 16 17 18 19 20 21 8 0.2610 0.2702 0.2799 0.2901 0.3009 0.3123 0.3243 0.3371 0.3505 0.3648 0.3800 38313.5 37009.5 35728.2 34469.8 33234.3 32022.1 30833.2 29667.9 28526.7 27409.9 26318.1 3.17E-03 2.42E-02 1.52E-02 3.54E-04 2.15E-02 2.01E-02 9.00E-06 2.05E-02 2.48E-02 4.12E-04 2.04E-02 1.4975 1.5068 1.5194 1.5732 1.5593 1.5728 1.3349 1.6168 1.6312 1.6068 1.6804 6.53E-01 6.46E-01 6.36E-01 5.92E-01 6.04E-01 5.93E-01 7.91E-01 5.57E-01 5.45E-01 5.65E-01 5.04E-01 1.54E+05 1.04E+06 5.67E+05 1.03E+04 5.83E+05 4.69E+05 3.34E+02 3.36E+05 3.46E+05 5.48E+03 1.92E+05 1.55E+05* 1.04E+06 5.66E+05 1.01E+04* 5.82E+05 4.70E+05 3.57E+02* 3.36E+05 3.46E+05 5.41E+03* 1.92E+05 9 0.2579 0.2668 0.2763 0.2862 0.2967 0.3078 0.3195 0.3319 0.3449 0.3587 0.3734 38779.2 37475.1 36193.8 34935.4 33700.0 32487.7 31298.8 30133.6 28992.4 27875.5 26783.7 1.33E-02 2.10E-02 1.75E-03 1.05E-02 2.24E-02 2.41E-03 1.08E-02 2.41E-02 2.31E-03 1.29E-02 2.66E-02 1.4865 1.4991 1.5035 1.5376 1.5496 1.5550 1.5921 1.6047 1.6084 1.6514 1.6649 6.62E-01 6.52E-01 6.49E-01 6.22E-01 6.12E-01 6.07E-01 5.77E-01 5.66E-01 5.63E-01 5.28E-01 5.17E-01 6.88E+05 9.50E+05 7.07E+04 3.49E+05 6.49E+05 6.19E+04 2.22E+05 4.28E+05 3.61E+04 1.57E+05 2.77E+05 6.90E+05 9.49E+05 7.06E+04* 3.47E+05 6.48E+05 6.23E+04* 2.22E+05 4.29E+05 3.62E+04* 1.58E+05 2.77E+05 10 0.2551 0.2638 0.2731 0.2828 0.2930 0.3038 0.3152 0.3272 0.3399 0.3533 0.3675 39206.1 37902.1 36620.8 35362.4 34126.9 32914.7 31725.8 30560.5 29419.3 28302.5 27210.7 1.87E-02 1.01E-02 1.14E-03 1.85E-02 9.90E-03 1.81E-03 2.04E-02 8.23E-03 3.92E-03 2.32E-02 5.72E-03 1.4796 1.4915 1.5260 1.5286 1.5400 1.5767 1.5809 1.5922 1.6295 1.6379 1.6473 6.67E-01 6.58E-01 6.31E-01 6.29E-01 6.20E-01 5.90E-01 5.86E-01 5.77E-01 5.46E-01 5.39E-01 5.31E-01 1.02E+06 4.82E+05 4.54E+04 6.54E+05 3.06E+05 4.55E+04 4.52E+05 1.58E+05 6.04E+04 3.10E+05 6.60E+04 1.02E+06 4.81E+05 4.53E+04* 6.52E+05 3.06E+05* 4.50E+04* 4.52E+05 1.59E+05* 6.03E+04* 3.10E+05 6.58E+04* 11 0.2526 0.2612 0.2702 0.2797 0.2897 0.3003 0.3114 0.3231 0.3355 0.3486 0.3624 39592.1 38288.0 37006.7 35748.3 34512.9 33300.6 32111.7 30946.5 29805.2 28688.4 27596.6 1.68E-02 2.14E-03 7.15E-03 1.63E-02 1.11E-03 9.98E-03 1.54E-02 5.14E-05 1.48E-02 1.28E-02 8.34E-04 1.4739 1.4814 1.5104 1.5214 1.5220 1.5604 1.5720 1.4953 1.6142 1.6265 1.6803 6.72E-01 6.66E-01 6.43E-01 6.35E-01 6.34E-01 6.03E-01 5.93E-01 6.55E-01 5.59E-01 5.49E-01 5.04E-01 9.53E+05 1.08E+05 3.04E+05 6.08E+05 3.72E+04 2.71E+05 3.63E+05 1.32E+03 2.47E+05 1.84E+05 9.03E+03 9.54E+05 1.08E+05* 3.04E+05* 6.06E+05 3.73E+04* 2.70E+05* 3.63E+05 1.38E+03* 2.48E+05 1.84E+05 9.10E+03* 12 0.2504 0.2589 0.2677 0.2771 0.2869 0.2972 0.3081 0.3196 0.3317 0.3444 0.3579 39935.5 38631.4 37350.1 36091.7 34856.3 33644.0 32455.1 31289.9 30148.6 29031.8 27940.0 1.12E-02 3.29E-06 1.16E-02 9.29E-03 5.59E-04 1.41E-02 5.94E-03 3.31E-03 1.61E-02 1.95E-03 9.19E-03 1.4687 1.6999 1.5035 1.5147 1.5570 1.5525 1.5625 1.5969 1.6051 1.6089 1.6501 6.76E-01 4.88E-01 6.49E-01 6.40E-01 6.06E-01 6.09E-01 6.01E-01 5.73E-01 5.66E-01 5.63E-01 5.29E-01 6.60E+05 ( 9.16E+01) 5.15E+05 3.62E+05 1.76E+04 4.05E+05 1.49E+05 6.74E+04 2.87E+05 3.07E+04 1.14E+05 6.61E+05 1.17E+02* 5.15E+05 3.61E+05* 1.74E+04* 4.04E+05 1.49E+05* 6.71E+04* 2.87E+05 3.07E+04* 1.14E+05* V'V" 22 23 24 25 26 27 28 29 30 0 0.4891 0.5153 0.5436 0.5744 0.6077 0.6438 0.6830 0.7255 0.7713 20446.8 19406.9 18394.4 17410.1 16455.5 15531.8 14640.7 13784.2 12964.7 1.08E-03 2.82E-04 5.96E-05 9.87E-06 1.21E-06 1.02E-07 4.99E-09 9.73E-11 5.38E-14 1.8170 1.8507 1.8882 1.9311 1.9822 2.0473 2.1403 2.3166 4.0641 3.94E-01 3.67E-01 3.36E-01 3.02E-01 2.60E-01 2.08E-01 1.33E-01 7.94E-02 0.00E+00 2.90E+03 5.61E+02 8.50E+01 9.61E+00 7.44E-01 ( 3.35E-02)( 5.62E-04)( 3.25E-06)( 0.00E+00) 2.91E+03* 5.63E+02* 8.47E+01* 9.63E+00* 7.18E-01* 2.93E-02* 2.68E-03* 2.37E-06* 5.68E-04* 1 0.4732 0.4976 0.5241 0.5526 0.5833 0.6165 0.6524 0.6910 0.7325 21134.3 20094.5 19081.9 18097.7 17143.0 16219.3 15328.2 14471.7 13652.2 2.18E-02 8.38E-03 2.59E-03 6.34E-04 1.18E-04 1.59E-05 1.39E-06 6.66E-08 1.05E-09 1.7980 1.8294 1.8637 1.9021 1.9464 1.9998 2.0691 2.1723 2.3888 4.09E-01 3.84E-01 3.56E-01 3.25E-01 2.89E-01 2.46E-01 1.90E-01 1.07E-01 7.60E-02 6.99E+04 2.03E+04 4.63E+03 8.04E+02 1.01E+02 8.31E+00 3.69E-01 ( 4.70E-03)( 3.12E-05) 6.98E+04 2.03E+04* 4.64E+03* 7.98E+02* 1.00E+02* 8.62E+00* 3.72E-01* 3.15E-03* 5.96E-06* 2 0.4587 0.4817 0.5064 0.5330 0.5616 0.5923 0.6253 0.6607 0.6985 21798.7 20758.8 19746.3 18762.0 17807.4 16883.7 15992.6 15136.1 14316.6 1.03E-01 6.40E-02 3.08E-02 1.15E-02 3.29E-03 6.94E-04 1.02E-04 9.32E-06 4.25E-07 1.7813 1.8106 1.8424 1.8774 1.9168 1.9627 2.0186 2.0927 2.2087 4.22E-01 3.99E-01 3.73E-01 3.45E-01 3.13E-01 2.76E-01 2.31E-01 1.71E-01 8.45E-02 3.85E+05 1.84E+05 6.70E+04 1.84E+04 3.69E+03 5.16E+02 4.50E+01 1.92E+00 ( 1.81E-02) 3.85E+05 1.84E+05 6.70E+04 1.84E+04 3.68E+03* 5.13E+02* 4.60E+01* 1.92E+00* 7.86E-03* 3 0.4456 0.4673 0.4905 0.5154 0.5420 0.5706 0.6012 0.6338 0.6685 22440.1 21400.3 20387.7 19403.5 18448.8 17525.1 16634.1 15777.6 14958.0 9.17E-02 1.27E-01 1.14E-01 7.19E-02 3.33E-02 1.13E-02 2.72E-03 4.37E-04 4.15E-05 1.7678 1.7946 1.8240 1.8562 1.8919 1.9324 1.9799 2.0387 2.1185 4.33E-01 4.12E-01 3.88E-01 3.62E-01 3.33E-01 3.01E-01 2.62E-01 2.15E-01 1.51E-01 3.94E+05 4.29E+05 2.94E+05 1.40E+05 4.71E+04 1.11E+04 1.75E+03 1.61E+02 6.39E+00 3.94E+05 4.29E+05 2.94E+05 1.40E+05 4.72E+04 1.11E+04 1.74E+03* 1.62E+02* 6.51E+00* 4 0.4337 0.4542 0.4761 0.4995 0.5245 0.5512 0.5796 0.6099 0.6420 23057.9 22018.1 21005.5 20021.3 19066.6 18142.9 17251.9 16395.4 15575.8 2.67E-03 1.95E-02 8.63E-02 1.32E-01 1.18E-01 7.07E-02 2.91E-02 8.12E-03 1.44E-03 1.7217 1.7880 1.8100 1.8386 1.8710 1.9073 1.9489 1.9982 2.0602 4.71E-01 4.17E-01 3.99E-01 3.76E-01 3.50E-01 3.21E-01 2.87E-01 2.48E-01 1.98E-01 1.47E+04 7.34E+04 2.58E+05 3.03E+05 2.03E+05 8.81E+04 2.50E+04 4.44E+03 4.31E+02 1.46E+04* 7.34E+04 2.58E+05 3.03E+05 2.03E+05 8.81E+04 2.50E+04 4.43E+03* 4.32E+02* 5 0.4228 0.4423 0.4630 0.4851 0.5087 0.5337 0.5604 0.5887 0.6185 23650.5 22610.6 21598.0 20613.8 19659.1 18735.5 17844.4 16987.9 16168.4 5.83E-02 4.77E-02 4.20E-03 2.02E-02 9.54E-02 1.41E-01 1.16E-01 6.03E-02 1.99E-02 1.7361 1.7571 1.7607 1.8331 1.8556 1.8872 1.9239 1.9665 2.0178 4.59E-01 4.42E-01 4.39E-01 3.81E-01 3.63E-01 3.37E-01 3.07E-01 2.73E-01 2.32E-01 3.29E+05 2.18E+05 1.65E+04 5.20E+04 1.93E+05 2.14E+05 1.27E+05 4.47E+04 9.13E+03 3.29E+05 2.18E+05 1.65E+04* 5.20E+04 1.93E+05 2.14E+05 1.27E+05 4.47E+04 9.12E+03 6 0.4130 0.4315 0.4512 0.4722 0.4945 0.5181 0.5432 0.5697 0.5976 24215.4 23175.6 22163.0 21178.8 20224.1 19300.4 18409.4 17552.8 16733.3 7.71E-03 1.11E-02 5.69E-02 4.70E-02 2.19E-03 3.18E-02 1.19E-01 1.52E-01 1.04E-01 1.7076 1.7594 1.7748 1.7960 1.7790 1.8796 1.9058 1.9421 1.9857 4.82E-01 4.40E-01 4.28E-01 4.11E-01 4.24E-01 3.43E-01 3.22E-01 2.93E-01 2.58E-01 5.15E+04 5.44E+04 2.29E+05 1.53E+05 6.60E+03 5.45E+04 1.56E+05 1.43E+05 6.56E+04 5.14E+04* 5.45E+04 2.29E+05 1.52E+05 6.60E+03* 5.45E+04 1.56E+05 1.43E+05 6.56E+04 7 0.4040 0.4218 0.4406 0.4605 0.4817 0.5042 0.5279 0.5529 0.5791 24750.2 23710.3 22697.8 21713.5 20758.9 19835.2 18944.1 18087.6 17268.1 2.23E-02 4.31E-02 8.64E-03 1.21E-02 5.96E-02 4.03E-02 1.12E-05 6.04E-02 1.55E-01 1.7149 1.7320 1.7428 1.8008 1.8158 1.8361 2.9107 1.9301 1.9630 4.76E-01 4.62E-01 4.53E-01 4.07E-01 3.95E-01 3.78E-01 5.14E-02 3.02E-01 2.76E-01 1.55E+05 2.48E+05 4.21E+04 4.15E+04 1.68E+05 9.11E+04 ( 4.06E-01) 6.63E+04 1.23E+05 1.56E+05 2.48E+05 4.20E+04* 4.16E+04 1.68E+05 9.11E+04 3.71E+01* 6.63E+04 1.23E+05 V'V" 22 23 24 25 26 27 28 29 30 8 0.3960 0.4130 0.4310 0.4501 0.4704 0.4917 0.5143 0.5379 0.5628 25251.8 24212.0 23199.4 22215.2 21260.5 20336.8 19445.8 18589.3 17769.7 3.12E-02 1.75E-03 2.03E-02 4.21E-02 6.25E-03 1.83E-02 6.41E-02 2.58E-02 8.65E-03 1.6959 1.6909 1.7533 1.7697 1.7744 1.8426 1.8592 1.8746 1.9865 4.91E-01 4.95E-01 4.45E-01 4.32E-01 4.28E-01 3.73E-01 3.60E-01 3.47E-01 2.57E-01 2.46E+05 1.24E+04 1.02E+05 1.74E+05 2.23E+04 4.35E+04 1.24E+05 4.06E+04 6.49E+03 2.46E+05 1.23E+04* 1.02E+05 1.74E+05 2.23E+04* 4.35E+04 1.24E+05 4.06E+04 6.49E+03* 9 0.3888 0.4052 0.4226 0.4409 0.4603 0.4807 0.5022 0.5248 0.5484 25717.5 24677.6 23665.1 22680.8 21726.2 20802.5 19911.4 19054.9 18235.4 1.94E-03 1.64E-02 3.09E-02 1.71E-03 2.20E-02 3.98E-02 2.08E-03 3.17E-02 6.34E-02 1.6643 1.7173 1.7321 1.7216 1.7934 1.8092 1.7853 1.8866 1.9046 5.17E-01 4.74E-01 4.62E-01 4.71E-01 4.13E-01 4.00E-01 4.19E-01 3.38E-01 3.23E-01 1.79E+04 1.12E+05 1.77E+05 8.93E+03 7.77E+04 1.16E+05 5.85E+03 5.06E+04 8.13E+04 1.78E+04* 1.13E+05 1.77E+05 8.90E+03* 7.77E+04 1.16E+05 5.85E+03* 5.05E+04 8.13E+04 10 0.3825 0.3983 0.4151 0.4328 0.4514 0.4710 0.4917 0.5133 0.5358 26144.4 25104.6 24092.0 23107.8 22153.1 21229.4 20338.4 19481.9 18662.3 8.02E-03 2.63E-02 2.99E-03 1.49E-02 2.95E-02 7.26E-04 2.70E-02 3.42E-02 1.43E-04 1.6887 1.7004 1.7025 1.7564 1.7700 1.7271 1.8356 1.8502 2.1860 4.97E-01 4.88E-01 4.86E-01 4.43E-01 4.32E-01 4.66E-01 3.79E-01 3.67E-01 9.62E-02 7.18E+04 2.00E+05 2.00E+04 7.30E+04 1.21E+05 3.06E+03 6.60E+04 6.90E+04 1.74E+01 7.21E+04* 2.00E+05 1.99E+04* 7.31E+04 1.21E+05 3.05E+03* 6.59E+04 6.90E+04 1.71E+01* 11 0.3769 0.3923 0.4085 0.4256 0.4437 0.4626 0.4825 0.5033 0.5250 26530.4 25490.5 24478.0 23493.7 22539.1 21615.4 20724.3 19867.8 19048.3 2.04E-02 8.34E-03 5.30E-03 2.51E-02 3.07E-03 1.55E-02 2.70E-02 2.98E-06 3.46E-02 1.6730 1.6839 1.7291 1.7379 1.7371 1.7978 1.8099 3.2836 1.8802 5.10E-01 5.01E-01 4.65E-01 4.57E-01 4.58E-01 4.09E-01 3.99E-01 3.38E-02 3.43E-01 2.01E+05 7.04E+04 3.40E+04 1.38E+05 1.49E+04 5.30E+04 7.75E+04 ( 5.40E-02) 5.69E+04 2.01E+05 7.02E+04* 3.41E+04* 1.38E+05 1.49E+04* 5.30E+04 7.75E+04 2.96E+01* 5.69E+04 12 0.3721 0.3871 0.4029 0.4195 0.4370 0.4554 0.4747 0.4948 0.5157 26873.8 25833.9 24821.4 23837.1 22882.5 21958.8 21067.7 20211.2 19391.7 1.51E-02 8.06E-06 1.72E-02 9.82E-03 3.98E-03 2.38E-02 2.23E-03 1.80E-02 2.22E-02 1.6618 2.0212 1.7103 1.7215 1.7731 1.7777 1.7669 1.8416 1.8511 5.19E-01 2.29E-01 4.80E-01 4.71E-01 4.29E-01 4.25E-01 4.34E-01 3.74E-01 3.66E-01 1.60E+05 ( 1.48E+01) 1.23E+05 5.97E+04 1.78E+04 9.23E+04 7.97E+03 4.21E+04 4.39E+04 1.60E+05 1.78E+01* 1.23E+05 5.96E+04* 1.78E+04* 9.23E+04 7.96E+03* 4.21E+04 4.39E+04 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 1.887E+07 5.300E-08 0 0.001 0.000E+00 0.000E+00 1 1.000 1.971E+07 5.075E-08 1 0.009 0.000E+00 0.000E+00 2 1.000 2.060E+07 4.855E-08 2 0.046 0.000E+00 0.000E+00 3 1.000 2.144E+07 4.664E-08 3 0.137 0.000E+00 0.000E+00 4 1.000 2.215E+07 4.514E-08 4 0.248 0.000E+00 0.000E+00 5 0.996 2.264E+07 4.418E-08 5 0.293 0.000E+00 0.000E+00 6 0.949 2.279E+07 4.387E-08 6 0.275 0.000E+00 0.000E+00 7 0.752 2.252E+07 4.441E-08* 7 0.294 0.000E+00 0.000E+00 8 0.535 2.186E+07 4.575E-08* 8 0.332 0.000E+00 0.000E+00 9 0.501 2.095E+07 4.774E-08* 9 0.324 0.000E+00 0.000E+00 10 0.392 1.960E+07 5.102E-08* 10 0.327 0.000E+00 0.000E+00 11 0.349 1.802E+07 5.548E-08* 11 0.354 0.000E+00 0.000E+00 12 0.296 1.622E+07 6.166E-08* 12 0.345 0.000E+00 0.000E+00 13 0.349 0.000E+00 0.000E+00 14 0.368 0.000E+00 0.000E+00 15 0.356 0.000E+00 0.000E+00 16 0.365 0.000E+00 0.000E+00 17 0.375 0.000E+00 0.000E+00 18 0.362 0.000E+00 0.000E+00 19 0.377 0.000E+00 0.000E+00 20 0.376 0.000E+00 0.000E+00 21 0.369 0.000E+00 0.000E+00 22 0.385 0.000E+00 0.000E+00 23 0.374 0.000E+00 0.000E+00 24 0.380 0.000E+00 0.000E+00 25 0.389 0.000E+00 0.000E+00 26 0.377 0.000E+00 0.000E+00 27 0.394 0.000E+00 0.000E+00 28 0.390 0.000E+00 0.000E+00 29 0.391 0.000E+00 0.000E+00 30 0.410 0.000E+00 0.000E+00