characterized by Hocking, Gerry, & Merer (1979), who analyzed several vibrational ... were identiâed in sunspot spectrum by Hale & Adams. (1907), and more ...
THE ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 122 : 331È353, 1999 May ( 1999. The American Astronomical Society. All rights reserved. Printed in U.S.A.
THE A 3'ÈX 3* SYSTEM (c BANDS) OF TiO : LABORATORY AND SUNSPOT MEASUREMENTS R. S. RAM,1 P. F. BERNATH,1,2 M. DULICK,3 AND L. WALLACE4 Received 1998 June 2 ; accepted 1998 December 3
ABSTRACT The spectrum of the A 3'ÈX 3* system of TiO has been measured in the laboratory as well as in sunspots. In the laboratory, the bands were excited in a hollow cathode lamp and were observed using a Fourier transform spectrometer. These bands were also identiÐed in the spectrum of a sunspot umbra recorded with the same spectrometer. Both laboratory and solar measurements have been combined with jet-cooled laser measurements and pure rotational frequencies in the X 3* ground state to obtain improved molecular constants for the A 3' and X 3* states of TiO. RKR potential energy curves and Franck-Condon factors were also calculated. Subject headings : line identiÐcation È methods : laboratory È molecular data È sunspots 1.
INTRODUCTION
spectrum of TiO and other titanium oxides has been recorded by Wu & Wang (1997). The visible and near-infrared spectrum of TiO is noticeably present in the spectra of M-type stars (Fowler 1904 ; Kirkpatrick, Henry, & McCarthy 1991 ; Valenti, Piskunov, & Johns-Krull, 1998). TiO has also been identiÐed in sunspots by several workers over the span of almost a century. The green a-bands (C 3*ÈX 3*) of TiO were identiÐed by Hale, Adams, & Gale (1906), the red c bands (A 3'ÈX 3*) were identiÐed in sunspot spectrum by Hale & Adams (1907), and more recently the B 3%ÈX 3* transition (yellowred c@ bands) was identiÐed by Wohl (1971). The c 1'Èa 1* transition (b bands) has also been identiÐed by Sotirovski (1972) in sunspots. The a and c systems have also been investigated in sunspots by several other workers (Makita 1968 ; Weber 1971 ; Sotirovski 1971, 1972 ; Lambert & Mallia 1972 ; Engvold 1973). Lambert & Mallia (1972) have used their spectra of TiO to determine temperatures and the Ti isotope abundances in sunspots. Phillips & Davis (1987) and Clegg, Lambert, & Bell (1979) have used similar data to estimate the temperature of M-type stars. Schwenke (1998) has calculated the molecular opacity of TiO by combining both experimental data and ab initio calculations. The TiO molecule serves as a model for the role of d electrons in chemical bonding of transition metal elements, and there are several theoretical studies of the spectroscopic properties available in the literature. In early work Carlson & Nesbet (1964) and Carlson & Moser (1967) have performed Hartree-Fock calculations on the low-lying electronic states X 3*, a 1*, and d 1&` in an attempt to predict spectroscopic properties. In another paper Bauschlicher, Langho†, & Komornicki (1990) have performed CAS SCF calculations on a number of electronic states including X 3*, a 1*, d 1&`, A 3', E 3%, and for an unobserved lowlying 3&~ state. Schamps, Sennesal, & Carette (1992) performed ab initio calculations on TiO to determine the predominant conÐgurations and CI wave functions of the observed electronic states. From these calculations they concluded that the electronic wave functions are reasonably well represented by single conÐgurations. Most recently, Langho† (1997) has calculated the oscillator strengths of TiO bands which can be compared with some recent measurements by Hedgecock et al. (1995). Recently we have reported an analysis of the b 1%Èa 1* system (d bands) of TiO using laboratory and sunspot measurements and have provided an improved set of molecular
TiO is a widely investigated molecule because of its importance in astrophysics and in quantum chemistry. In total, six singlet states (a 1*, d 1&`, b 1%, c 1', f 1*, and e 1&`) and Ðve triplet states (X 3*, E 3%, A 3', B 3%, and C 3*) have been known for some time (Huber & Herzberg 1979 and references therein). Recently four additional highly excited triplet states, G 3', H 3', I 3%, and J 3%, have been observed using the technique of opticaloptical double resonance spectroscopy (Barnes, Merer, & Metha 1997). The X 3* ground state of TiO has been well characterized by Hocking, Gerry, & Merer (1979), who analyzed several vibrational bands of the B 3%ÈX 3* transition. Since that time the B 3%ÈX 3* system has reinvestigated by Gustavsson et al. (1991), Fletcher et al. (1993), and Amiot et al. (1995). Fletcher et al. (1993) measured the hyperÐne splitting for a few low J lines of the 0È0 band of the B 3%ÈX 3* system and determined hyperÐne parameters for the ground state of TiO, while Amiot et al. (1995) remeasured the 1È0 band of the B 3%ÈX 3* transition with a sub-Doppler resolution of 0.002 cm~1. Amiot et al. (1995) measured 42 main and satellite branches with J up to 95 and provided an improved set of molecular constants for the vibrational ground state of TiO. The C 3*ÈX 3* system has been investigated by Gustavsson et al. (1991), and the E 3%ÈX 3* system has been studied by Simard & Hackett (1991). A pure rotational transition in the X 3* state was 1 several measured by Steimle et al. (1990), and more recently pure rotational transitions in the X 3* , X 3* , and X 3* 2 3 spin component have been measured1 by Namiki et al. (1998). Other recent experimental work on TiO includes the remeasurement of the 0È0 band of the c 1'Èa 1* system (b bands) by laser spectroscopy in an e†usive molecular beam (Amiot et al. 1996). The TiO bond dissociation energy (D ) 0 has been conÐrmed to be 6.87 eV (Naulin et al. 1997). Kaledin, McCord, & Heaven (1995) have redetermined the X 3*Èa 1* energy separation in TiO, which has also been discussed by Amiot et al. (1996). Finally, a photoelectron 1 Department of Chemistry, University of Arizona, Tucson, AZ 85721. 2 Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1. 3 National Solar Observatory, National Optical Astronomy Observatories, Tucson, AZ 85726. 4 Kitt Peak National Observatory, National Optical Astronomy Observatories, Tucson, AZ 85726.
331
332
RAM ET AL.
FIG. 1.ÈPart of the spectrum of the 0È0 band of the A 3'ÈX 3* system of TiO. (a) Laboratory spectrum. (b) Sunspot spectrum. (c) Photospheric spectrum.
constants for the b 1% and a 1* states (Ram, Bernath, & Wallace 1996). A detailed account of the previous spectroscopic studies on TiO may be found in the papers by Barnes et al. (1996, 1997), Ram et al. (1996), and the review by Merer (1989). Although the A 3'ÈX 3* transition has already been identiÐed in sunspot spectra, high-resolution measurements of many of the line positions are still lacking. The initial high-temperature measurements of the A 3'ÈX 3* bands were made at grating resolution by Phillips (1973). Recently Barnes et al. (1996) reported high-resolution measurements of some low J lines (J@@ ¹ 25) in the 0È0 band of the A 3'È X 3* transition. The existing spectroscopic constants, however, do not reproduce the TiO observations in sunspots and stellar spectra. We have decided, therefore, to reinvestigate the A 3'ÈX 3* transition of TiO at high resolution with the aim of providing improved spectroscopic constants. In this work we have measured the lines in several bands of the A 3'ÈX 3* transition of TiO at high resolution with a Fourier transform spectrometer in the laboratory as well as in sunspot spectra. An improved set of molecular constants have been obtained for the ground and excited states by combining these data with the existing pure rotational measurement of Steimle et al. (1990) and Namiki et al. (1998), the A 3'ÈX 3* measurements of Barnes et al. (1996) and the laser spectroscopic measurements of the 1È0 band of the B 3%ÈX 3* transition (Amiot et al. 1995). 2.
EXPERIMENTAL
2.1. L aboratory Observations The A 3'ÈX 3* TiO bands were present in the same spectra in which the b 1%Èa 1* transition of TiO was identiÐed (Ram et al. 1996). The details of the experimental methods used in this observation have been provided previously (Ram et al. 1996). BrieÑy, the TiO bands were observed in a titanium hollow cathode lamp during a search for TiH and TiD spectra in the red and near-infrared regions. In addition to the complex bands of TiH and TiD near 1 km, we observed TiO as an impurity in the 10000È 15000 cm~1 region. The TiO bands in the TiD experiments were much stronger than those in the TiH experiments.
Although we did not add any O gas to the lamp, strong 2 TiO bands were observed, presumably from the oxygencontaining impurities present either on the surface of the cathode or in the experimental system. The spectra in the 10000È16000 cm~1 region were recorded at 0.02 cm~1 resolution using the 1 m Fourier transform spectrometer associated with the McMath-Pierce Solar Telescope of the National Solar Observatory. Sidiode detectors, a quartz beam splitter, and OG570 Ðlters were used, The spectral line positions were extracted using a data reduction program called PC-DECOMP developed by J. Brault. The peak positions were determined by Ðtting a Voigt line shape function to each spectral feature. The spectra were calibrated using the measurements of the Ne atomic lines provided by Palmer & Engelman (1983). The TiO lines have average widths of about 0.042 cm~1 and appear with a maximum signal-to-noise ratio of about 20 : 1 in the 0È0 band, so the absolute accuracy and precision of the measurements in strong bands is expected to be of the order of ^0.002 cm~1. The measurement precision in weaker bands, however, varies from ^0.002 to ^0.005 cm~1 depending upon signal-to-noise ratio and extent of blending. 2.2. Solar Observations The TiO molecular lines were also identiÐed in the spectrum of a sunspot umbra recorded in 1981 March with the Fourier transform spectrometer of the McMath-Pierce Solar Telescope. In addition to the d-system (b 1%Èa 1*) and a few lines of the /-system (b 1%Èd 1&`), the lines of the c-system (A 3'ÈX 3*) of TiO have also been identiÐed. The spectrum extended from about 9000 to 17000 cm~1 and had an unapodized resolution of 0.055 cm~1. The TiO d-lines (b 1%Èa 1*) are present in the 10960È11250 cm~1 region, while the lines of the c-system (A 3'ÈX 3*) of TiO are present in the 12000È14500 cm~1 region and appear with a depth of about 15%. In spite of overlapping from several Zeeman split atomic lines, many telluric lines and numerous unidentiÐed solar lines, the strong TiO bands (e.g., 0È0 band) can clearly be noticed in the sunspot spectra (Fig. 1). Although the lines in the higher vibrational bands are not obvious at Ðrst glance, the line positions from the laboratory spectra and the prediction of high J lines based on the spectroscopic constants were very helpful in identifying the weaker TiO lines. The measurement uncertainty for the solar lines is expected to be of the order of ^0.005 cm~1 or higher. 3.
DATA ANALYSIS AND DISCUSSION
The c bands (A 3'ÈX 3*) of TiO are much stronger in intensity than the d bands (b 1%Èa 1*) in our spectra. The laboratory spectra consist of the *v \ 0 and ^ 1 sequence bands of the A 3'ÈX 3* transition with vibrational levels up to v \ 4 in the ground and the excited state. Each vibrational band has three subbands and each subband consists of three branches, P, Q, and R, with no "-doubling splitting even at the highest J values measured. Although Ti has Ðve isotopesÈ46Ti (8%), 47Ti (7.3%), 48Ti (73.8%), 49Ti (5.5%), and 50Ti (5.4%)Èonly 48TiO lines were identiÐed in our spectra. A part of the laboratory spectrum of the 0È0 band is presented in Figure 1, along with the corresponding sunspot spectrum. As can be seen in Figure 1, there is a very good correspondence between the molecular features of the
TABLE 1 OBSERVED LINE POSITIONS (in cm~1) FOR THE A 3'ÈX 3* SYSTEM OF TiO J@
3 .... 4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 64 . . . 65 . . . 68 . . . 69 . . . 70 . . . 71 . . .
J@@
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 67 68 69 70
O[C
Observed
14022.5990 14023.4534 14024.2597 14025.0136 14025.7165 14026.3683 14026.9748 14027.5282 14028.0292 14028.4796 14028.8815 14029.2363 14029.5290 14029.7739 14029.9654 14030.1150 14030.2024 14030.1764 14030.0628 14029.9001 14029.6813 14029.4085 14029.0884 14028.7157 14028.2887 14027.8047 14027.2687 14026.6825 14026.0397 14025.3483 14024.5931 14023.7960 14022.9377 14022.0270 14021.0611 14020.0421 14018.9704 14017.8403 14016.6484 14015.4093 14014.1186 14012.7578 14011.3485 14009.8860 14008.3561 14006.7794 14005.1495 14003.4569 14001.6991 13999.9040 13998.0296 13996.1100 13994.1223 13992.0867 13989.9864 13987.8213 13985.6069 13983.3275 13981.0022 13978.5972 13976.1435 13968.4160 13965.7370 13962.9670 13960.1270
a
a
a a a a
[6 [12 4 0 [10 [27 9 20 13 7 24 80 23 0 [45 3 [55 [18 [19 11 1 [26 0 26 36 8 [10 2 [16 15 [52 1 [16 [13 [17 [4 31 34 [29 [7 56 [24 [26 3 [77 [57 1 3 [72 55 [32 9 [48 0 [12 [82 [54 [82 25 [65 [43 [16 176 71 [121
J@
72 . . . 74 . . . 76 . . . 78 . . . 83 . . . 84 . . . 87 . . . 88 . . . 89 . . . 5 .... 6 .... 7 .... 8 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 59 . . . 60 . . . 61 . . . 62 . . .
J@@
71 73 75 77 82 83 86 87 88 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 60 61 62 63
O[C
Observed
13957.2660 13951.3110 13945.1050 13938.6430 13921.3940 13917.7820 13906.4520 13902.5880 13898.6170 14012.6468 14011.2886 14009.8872 14008.4184 14005.3538 14003.7449 14002.0894 14000.3775 13998.6178 13996.8018 13994.9414 13993.0282 13991.0688 13989.0509 13986.9794 13984.8732 13982.6982 13980.4801 13978.2013 13975.8828 13973.5065 13971.0740 13968.6020 13966.0680 13963.5020 13960.8484 13958.1578 13955.4179 13952.6226 13949.7753 13946.8730 13943.9203 13940.9130 13937.8497 13934.7356 13931.5663 13928.3422 13925.0630 13921.7281 13918.3453 13914.9106 13911.4043 13907.8505 13904.2451 13900.5817 13896.8613 13893.0930 13889.2548 13885.3715 13881.4212 13877.4252 13873.3653 13865.0768 13860.8508 13856.5763 13852.2251
a a a a a a a a a
a
J@
J@@
Observed
O[C
J@
J@@
Observed
A 3' ÈX 3* 0È0 2 1 93 63 . . . . 64 48 64 . . . . 65 [14 65 . . . . 66 [127 66 . . . . 67 [243 67 . . . . 68 34 68 . . . . 69 [187 69 . . . . 70 170 70 . . . . 71 113 71 . . . . 72 24 74 . . . . 75 15 75 . . . . 76 76 76 . . . . 77 [34 77 . . . . 78 [12 79 . . . . 80 [10 85 . . . . 86 30 87 . . . . 88 12 88 . . . . 89 23 91 . . . . 92 [23 93 . . . . 94 [5 96 . . . . 97 [6 98 . . . . 99 39 99 . . . . 100 11 100 . . . 101 [42 101 . . . 102 70 104 . . . 105 8 105 . . . 106 29 106 . . . 107 [41 5 . . . . . 5 9 6 ..... 6 [1 7 . . . . . 7 [54 8 . . . . . 8 19 9 . . . . . 9 [5 10 . . . . 10 173 11 . . . . 11 [0 12 . . . . 12 [17 13 . . . . 13 1 14 . . . . 14 [5 15 . . . . 15 [2 16 . . . . 16 [16 17 . . . . 17 [1 18 . . . . 18 5 19 . . . . 19 [14 20 . . . . 20 [2 21 . . . . 21 [1 22 . . . . 22 [7 23 . . . . 23 [19 24 . . . . 24 [44 25 . . . . 25 [1 26 . . . . 26 72 27 . . . . 27 [20 28 . . . . 28 [36 29 . . . . 29 [13 30 . . . . 30 [14 31 . . . . 31 [28 32 . . . . 32 39 33 . . . . 33 [32 34 . . . . 34 9 35 . . . . 35 [55 36 . . . . 36 [10 37 . . . . 37 [34 38 . . . . 38 [57 39 . . . . 39 [25 40 . . . . 40 98 41 . . . . 41 31 42 . . . . 42
13847.8217 13843.3548 13838.8316 13834.2628 13829.6210 13824.9261 13820.1647 13815.3630 13810.4840 13795.5080 13790.4090 13785.2250 13779.9900 13769.3450 13735.9010 13724.2510 13718.3360 13700.2090 13687.8010 13668.7180 13655.6540 13649.0390 13642.3620 13635.5880 13614.9370 13607.8970 13600.8390 14018.9821 14018.6806 14018.3267 14017.9208 14017.4690 14016.9723 14016.4165 14015.8119 14015.1535 14014.4505 14013.6940 14012.8855 14012.0284 14011.1164 14010.1547 14009.1445 14008.0815 14006.9557 14005.7980 14004.5820 14003.3093 14001.9889 14000.6100 13999.1821 13997.7010 13996.1698 13994.5848 13992.9463 13991.2544 13989.5095 13987.7118 13985.8589 13983.9525 13981.9931 13979.9809 13977.9160 13975.7910 13973.6180
24 [38 [78 11 [42 [36 [104 20 [35 5 152 55 55 136 78 22 38 67 41 117 [12 73 194 2 105 [94 196 24 24 3 [34 [24 40 20 17 [17 11 12 3 18 [5 [12 9 16 [88 5 34 14 39 1 [4 [15 [2 3 1 [3 [4 2 [8 [16 [14 1 32 8 49
43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . 61 . . . . 62 . . . . 63 . . . . 64 . . . . 65 . . . . 67 . . . . 68 . . . . 69 . . . . 70 . . . . 71 . . . . 72 . . . . 73 . . . . 74 . . . . 75 . . . . 76 . . . . 77 . . . . 78 . . . . 79 . . . . 80 . . . . 81 . . . . 82 . . . . 83 . . . . 84 . . . . 85 . . . . 86 . . . . 87 . . . . 88 . . . . 89 . . . . 90 . . . . 91 . . . . 93 . . . . 94 . . . . 96 . . . . 99 . . . . 100 . . . 102 . . . 103 . . . 105 . . . 106 . . . 107 . . . 108 . . . 109 . . .
43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 94 96 99 100 102 103 105 106 107 108 109
13971.3820 13969.0970 13966.7496 13964.3535 13961.9034 13959.3899 13956.8242 13954.2053 13951.5244 13948.7959 13946.0011 13943.1525 13940.2445 13937.2852 13934.2665 13931.1868 13928.0517 13924.8559 13921.6038 13918.2941 13914.8974 13911.4941 13908.0058 13900.8553 13897.1862 13893.4679 13889.6880 13885.8289 13881.9143 13877.9417 13873.9220 13869.8163 13865.6611 13861.4561 13857.1705 13852.8457 13848.4467 13843.9815 13839.4464 13834.8569 13830.2090 13825.4910 13820.7120 13815.8632 13810.9560 13805.9745 13800.9506 13795.8448 13785.4440 13780.1510 13769.3450 13752.6440 13746.9680 13735.3740 13729.4700 13717.4640 13711.3590 13705.2110 13698.9490 13692.6520
a a a a a a a a a a a a a a a a a a a a
a a a
O[C
a a
a a a a
a a a a a a a a a a a a
10 31 [20 [4 28 [16 [22 2 [31 27 [12 [18 [47 [14 [1 [20 [13 [31 [29 [16 [28 [31 [34 5 [18 69 141 26 [36 [71 36 [10 [12 [24 [11 32 57 47 [34 [28 27 16 32 [10 5 [79 59 29 27 83 [31 [14 58 67 15 [30 [48 189 [25 101
TABLE 1ÈContinued J@
4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 64 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 70 . . . 71 . . . 72 . . . 73 . . . 75 . . . 76 . . . 77 . . .
J@@
3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 57 58 59 60 61 63 64 65 66 67 68 69 70 71 72 74 75 76
O[C
Observed
14099.5526 14100.3482 14101.0765 14101.7436 14102.3568 14102.9141 14103.4122 14103.8524 14104.2343 14104.5614 14104.8353 14105.0449 14105.1985 14105.3219 14105.2465 14105.1145 14104.9250 14104.6809 14104.3731 14104.0144 14103.5902 14103.1120 14102.5762 14101.9836 14101.3311 14100.6224 14099.8534 14099.0262 14098.1518 14097.2009 14096.2003 14095.1401 14094.0238 14092.8465 14091.6133 14090.3173 14088.9645 14087.5512 14086.0830 14084.5496 14082.9632 14081.3101 14079.6011 14077.8369 14076.0057 14074.1206 14072.1749 14070.1663 14068.0933 14065.9696 14063.7828 14059.2260 14056.8589 14054.4171 14051.9376 14049.3808 14044.0928 14041.3542 14038.5605 14035.6948 14032.7712 14029.7739 14026.7421 14023.6217 14020.4560 14017.2220 14010.5710 14007.1400 14003.6660
a
a a a a a
[138 [17 1 [23 [16 4 2 [8 [28 [25 17 [10 [24 [0 [9 [9 [8 22 [8 29 [10 [11 [11 1 [6 5 [6 [17 82 [0 4 [2 15 9 31 12 15 2 31 0 32 [11 [18 20 [16 6 21 8 [48 [9 3 10 37 [74 48 9 26 11 62 12 3 [121 33 [74 [8 2 85 20 160
J@
78 . . . . 79 . . . . 80 . . . . 82 . . . . 83 . . . . 84 . . . . 86 . . . . 87 . . . . 88 . . . . 91 . . . . 92 . . . . 93 . . . . 94 . . . . 95 . . . . 99 . . . . 100 . . . 102 . . . 104 . . . 109 . . . 110 . . . 5 ..... 6 ..... 7 ..... 8 ..... 9 ..... 10 . . . . 11 . . . . 12 . . . . 13 . . . . 14 . . . . 15 . . . . 16 . . . . 17 . . . . 18 . . . . 19 . . . . 20 . . . . 21 . . . . 22 . . . . 23 . . . . 24 . . . . 25 . . . . 26 . . . . 27 . . . . 29 . . . . 30 . . . . 31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . .
J@@
77 78 79 81 82 83 85 86 87 90 91 92 93 94 98 99 101 103 108 109 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
O[C
Observed
14000.1020 13996.4850 13992.8010 13985.2630 13981.3810 13977.4510 13969.3750 13965.2440 13961.0520 13948.0540 13943.5900 13939.0560 13934.4630 13929.8110 13910.4850 13905.4730 13895.2820 13884.7990 13857.3850 13851.6760 14088.6007 14087.2008 14085.7247 14084.1810 14082.6247 14080.9838 14079.2934 14077.5401 14075.7340 14073.8712 14071.9508 14069.9706 14067.9382 14065.8455 14063.6991 14061.4939 14059.2326 14056.9156 14054.5387 14052.1075 14049.6182 14047.0709 14044.4676 14039.0895 14036.3170 14033.4830 14030.5933 14027.6600 14024.6459 14021.5856 14018.4666 14015.2901 14012.0655 14008.7693 14005.4207 14002.0233 13998.5527 13995.0301 13991.4506 13987.8182 13984.1242 13980.3699 13976.5672 13972.6973 13968.7669 13964.7762 13960.7300 13956.6346 13952.4770
a a a a a a a a a a a a a a a a a a a a
J@
J@@
Observed
A 3' ÈX 3* 0È0 3 2 36 55 . . . . 56 20 57 . . . . 58 [26 58 . . . . 59 109 59 . . . . 60 14 60 . . . . 61 86 62 . . . . 63 20 63 . . . . 64 36 64 . . . . 65 97 65 . . . . 66 8 66 . . . . 67 [11 72 . . . . 73 [65 74 . . . . 75 [42 75 . . . . 76 60 76 . . . . 77 24 77 . . . . 78 [95 79 . . . . 80 46 81 . . . . 82 15 82 . . . . 83 14 83 . . . . 84 [148 85 . . . . 86 [0 86 . . . . 87 94 87 . . . . 88 [5 89 . . . . 90 [213 90 . . . . 91 22 91 . . . . 92 [21 92 . . . . 93 8 93 . . . . 94 [22 94 . . . . 95 [13 96 . . . . 97 [4 97 . . . . 98 [2 98 . . . . 99 [29 99 . . . . 100 [10 100 . . . 101 [27 103 . . . 104 [10 104 . . . 105 [15 106 . . . 107 [11 107 . . . 108 6 108 . . . 109 [9 109 . . . 110 3 4 ..... 4 4 5 ..... 5 [5 6 . . . . . 6 [5 7 . . . . . 7 [7 8 . . . . . 8 14 9 . . . . . 9 [10 10 . . . . 10 [18 11 . . . . 11 109 12 . . . . 12 2 13 . . . . 13 5 14 . . . . 14 [6 15 . . . . 15 [18 16 . . . . 16 64 17 . . . . 17 4 18 . . . . 18 [6 19 . . . . 19 75 20 . . . . 20 [1 21 . . . . 21 [21 22 . . . . 22 [30 23 . . . . 23 9 24 . . . . 24 12 25 . . . . 25 [8 26 . . . . 26 68 27 . . . . 27 54 28 . . . . 28 16 29 . . . . 29 [41 30 . . . . 30 [69 31 . . . . 31 [5 32 . . . . 32 23 33 . . . . 33
13948.2520 13939.6468 13935.2550 13930.7878 13926.2669 13917.0783 13912.3780 13907.6207 13902.8182 13897.9490 13867.4610 13856.8120 13851.4000 13845.9250 13840.3850 13829.1270 13817.6210 13811.7760 13805.8640 13793.8460 13787.7700 13781.5900 13769.1070 13762.7790 13756.3470 13749.8760 13743.3350 13736.7330 13723.3190 13716.5450 13709.6690 13702.7510 13695.7530 13674.3960 13667.1420 13652.4380 13644.9830 13637.4660 13629.8810 14095.2893 14095.0087 14094.6692 14094.2659 14093.8109 14093.3009 14092.7329 14092.1068 14091.4250 14090.6823 14089.8854 14089.0311 14088.1196 14087.1516 14086.1270 14085.0433 14083.9037 14082.7059 14081.4526 14080.1413 14078.7717 14077.3452 14075.8621 14074.3220 14072.7233 14071.0674 14069.3539 14067.5829 14065.7550 14063.8677
334
a a
a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a
O[C
J@
J@@
Observed
O[C
[37 54 92 [34 [106 60 [25 [84 1 17 16 [7 20 29 0 6 [1 5 [38 [192 [0 [221 [1 193 [19 16 [10 [7 [172 43 [114 [42 [119 [52 [63 [60 [92 [76 [71 [45 [5 14 [36 [33 [10 2 3 17 [8 [5 [5 [6 [3 6 [4 [1 [10 [1 2 [6 [10 [7 2 [2 [3 [4 [4 4 [6
34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . 61 . . . . 62 . . . . 63 . . . . 64 . . . . 65 . . . . 66 . . . . 67 . . . . 68 . . . . 69 . . . . 70 . . . . 71 . . . . 72 . . . . 75 . . . . 76 . . . . 77 . . . . 78 . . . . 79 . . . . 80 . . . . 81 . . . . 82 . . . . 83 . . . . 85 . . . . 86 . . . . 87 . . . . 88 . . . . 89 . . . . 90 . . . . 91 . . . . 92 . . . . 93 . . . . 95 . . . . 96 . . . . 98 . . . . 101 . . . 103 . . . 104 . . . 105 . . . 106 . . . 107 . . . 108 . . .
34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 75 76 77 78 79 80 81 82 83 85 86 87 88 89 90 91 92 93 95 96 98 101 103 104 105 106 107 108
14061.9240 14059.9218 14057.8624 14055.7443 14053.5688 14051.3347 14049.0433 14046.6927 14044.2856 14041.8180 14039.2967 14036.7108 14034.0681 14031.3713 14028.6035 14025.7901 14022.9134 14019.9708 14016.9723 14013.9336 14010.8108 14007.6370 14004.4047 14001.1110 13997.7559 13994.3448 13990.8750 13987.3427 13983.7425 13980.0923 13976.3739 13972.6035 13968.7669 13964.8810 13960.9134 13956.8973 13952.8174 13948.6770 13944.4759 13931.4886 13927.0473 13922.5223 13917.9447 13913.3112 13908.6132 13903.8570 13899.0176 13894.1308 13884.1571 13879.0845 13873.9299 13868.7291 13863.4563 13858.1090 13852.7020 13847.2390 13841.6990 13830.4380 13824.7040 13813.0490 13795.0600 13782.7320 13776.4660 13770.1350 13763.7320 13757.2630 13750.7270
[3 [6 [2 [7 [4 [9 [4 [9 4 [6 33 10 6 47 [35 16 24 [36 [64 98 13 12 22 15 [9 6 34 39 [33 [0 [45 [3 [16 87 [16 7 5 14 30 [48 47 [72 [92 [44 [12 68 [53 [14 [29 63 [24 70 87 6 [25 35 [24 12 [20 28 18 5 [11 [1 [32 [43 [40
a
a
a
a a a a a a a a a a a a a a
TABLE 1ÈContinued J@
J@@
Observed
19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 74 . . .
18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 51 52 53 54 55 56 57 58 59 60 61 62 73
14171.8573 14171.7017 14171.4895 14171.2106 14170.8687 14170.4720 14170.0056 14169.4827 14168.8971 14168.2492 14167.5400 14166.7686 14165.9382 14165.0438 14164.0875 14163.0691 14161.9915 14160.8481 14159.6473 14158.3766 14157.0495 14155.6639 14154.2087 14152.6973 14151.1188 14149.4868 14147.7859 14146.0254 14144.1964 14142.3108 14140.3618 14138.3559 14134.1433 14131.9479 14129.6887 14127.3678 14124.9842 14122.5354 14120.0259 14117.4519 14114.8207 14112.1169 14109.3555 14106.5297 14071.2660 a
10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . .
9 10 11 12 13 14 15 16 17 18 19 20 23 24 25 26 27 28 29 30 31 32 33
13027.7747 13028.3292 13028.8463 13029.3226 13029.7416 13030.1207 13030.4654 13030.7599 13030.9923 13031.1983 13031.3559 13031.4633 13031.5287 13031.4427 13031.3266 13031.1515 13030.9444 13030.6691 13030.3687 13030.0105 13029.6076 13029.1619 13028.6670
O[C
J@
J@@
O[C
Observed
[13 [30 4 [12 [40 0 [39 [26 [22 [24 [21 [23 4 7 10 10 35 21 52 3 8 48 10 30 [2 52 37 48 [7 [6 [17 26 [30 [12 [10 1 11 [6 [4 [18 22 [35 [38 [54 [185
76 . . . 77 . . . 78 . . . 79 . . . 81 . . . 82 . . . 88 . . . 91 . . . 14 . . . 15 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 51 . . . 52 . . .
75 76 77 78 80 81 87 90 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 53
14064.0550 14060.3180 14056.5540 14052.7000 14044.8140 14040.7980 14015.1540 14001.4260 14140.4375 14138.4416 14134.2527 14132.0759 14129.8259 14127.5292 14125.1649 14122.7358 14120.2509 14117.7027 14115.0944 14112.4239 14109.6920 14106.9038 14104.0583 14101.1386 14098.1744 14095.1366 14092.0408 14088.8859 14085.6697 14082.3954 14079.0577 14075.6602 14072.1957 14068.6834 14065.0992 14061.4709 14057.7672 14054.0015 14050.1857 14046.2860 14042.3599 14038.3572 14034.2934 14025.9767 14021.7413
53 [14 [7 40 [36 [61 21 53 [82 [26 0 [18 110 [2 48 [27 44 [99 [23 [55 [60 [19 6
35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . .
34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56
13028.1179 13027.5226 13026.8835 13026.2042 13025.4592 13024.6695 13023.8281 13022.9488 13022.0106 13021.0340 13020.0059 13018.9120 13017.7808 13016.6012 13015.3617 13014.0903 13012.7437 13011.3583 13009.9166 13008.4459 13006.8881 13005.3026 13003.6567
a a a a a a a a
J@@
Observed
O[C
J@
J@@
Observed
O[C
A 3' ÈX 3* 0È0 4 3 103 56 . . . [102 57 . . . 69 59 . . . [13 60 . . . [10 61 . . . 238 62 . . . 4 64 . . . [258 65 . . . 2 66 . . . 30 67 . . . [50 73 . . . 3 77 . . . [68 85 . . . 6 86 . . . 13 6 . . . . [18 7 . . . . 1 8 .... [4 9 . . . . [2 11 . . . [13 12 . . . [30 13 . . . [3 14 . . . 58 15 . . . [15 16 . . . 73 17 . . . 32 18 . . . 18 19 . . . 18 20 . . . 12 21 . . . 30 22 . . . 21 23 . . . 18 24 . . . [49 25 . . . 12 26 . . . [42 27 . . . 69 28 . . . 32 29 . . . [22 30 . . . 30 31 . . . [153 32 . . . 5 33 . . . 3 34 . . . [4 35 . . . [94 36 . . . 1 37 . . .
57 58 60 61 62 63 65 66 67 68 74 78 86 87 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
14004.1550 13999.6093 13990.3317 13985.5971 13980.8060 13975.9509 13966.0680 13961.0282 13955.9347 13950.7770 13918.5290 13895.8070 13847.3980 13841.0180 14161.7701 14161.3399 14160.8481 14160.2965 14159.0060 14158.2685 14157.4697 14156.6079 14155.6780 14154.7022 14153.6570 14152.5507 14151.3839 14150.1543 14148.8628 14147.5114 14146.0963 14144.6239 14143.0887 14141.4915 14139.8332 14138.1136 14136.3378 14134.4910 14132.5884 14130.6227 14128.5960 14126.5106 14124.3649 14122.1525 14119.8819
[9 15 24 [17 [14 [42 6 [38 [6 [5 [115 [79 247 [175 [40 [36 [34 [15 [5 [1 5 [4 [81 [3 [5 [3 7 2 [8 [3 [23 [3 3 1 1 1 50 4 10 [1 [11 5 30 [0 0
38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 64 . . . 67 . . . 69 . . . 71 . . . 73 . . . 74 . . . 75 . . . 77 . . . 78 . . . 79 . . . 81 . . . 85 . . . 86 . . . 87 . . . 88 . . . 89 . . . 90 . . . 92 . . . 93 . . .
38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 67 69 71 73 74 75 77 78 79 81 85 86 87 88 89 90 92 93
14117.5507 14115.1576 14112.7036 14110.1879 14107.6106 14104.9749 14102.2746 14099.5101 14096.6913 14093.8109 14090.8644 14087.8593 14084.7876 14081.6614 14078.4696 14075.2163 14071.9061 14068.5318 14065.0992 14061.5963 14058.0357 14054.4171 14050.7331 14046.9883 14043.1795 14039.2967 14035.3813 14023.2120 14014.7660 14006.0990 13997.1940 13992.6280 13988.0160 13978.5950 13973.7790 13968.9060 13958.9640 13938.3100 13933.0030 13927.6310 13922.1580 13916.6370 13911.0650 13899.7030 13893.9250
a a a a a a a a a a a a a a a a a a
7 6 9 7 2 24 14 [25 5 33 13 21 [24 2 [14 [31 [1 5 42 [6 [14 15 9 14 [3 [13 21 [0 [22 [16 32 [62 14 93 27 26 [25 [15 [16 118 [11 [17 [91 [15 [17
A 3' ÈX 3* 0È1 2 1 [33 58 . . . [54 59 . . . [32 60 . . . 71 61 . . . 2 68 . . . [27 69 . . . [84 8 . . . . [30 9 . . . . [72 10 . . . [3 11 . . . 47 13 . . . [62 14 . . . [44 15 . . . [8 16 . . . [66 17 . . . 62 18 . . . [52 20 . . . [44 21 . . . [86 22 . . . 97 23 . . . [75 24 . . . [5 25 . . . [17 26 . . .
57 58 59 60 67 68 9 10 11 12 14 15 16 17 18 19 21 22 23 24 25 26 27
13001.9519 13000.2168 12998.4080 12996.5530 12982.0700 12979.7760 13008.6606 13007.2142 13005.7169 13004.1850 13000.9815 12999.3068 12997.5828 12995.8289 12994.0220 12992.1725 12988.3389 12986.3452 12984.3118 12982.2448 12980.1159 12977.9399 12975.7322
[97 46 [20 [18 16 [60 [42 [20 [61 [4 51 18 [59 12 1 15 49 [24 [42 60 [2 [78 [13
27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . .
28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
12973.4837 12971.1643 12968.8160 12966.4058 12963.9735 12961.4742 12958.9469 12956.3543 12953.7252 12951.0411 12948.3225 12945.5428 12942.7233 12939.8513 12936.9293 12933.9662 12930.9470 12927.8828 12924.7921 12921.6191 12918.4105 12915.1720 a 12911.8490 a
104 [28 13 [10 26 [50 62 [10 22 [23 59 5 30 6 [36 [10 [61 [78 126 [6 [4 190 32
335
J@
a a a a a
a a a a
a
a
TABLE 1ÈContinued J@
J@@
Observed
50 . . . 51 . . . 54 . . . 55 . . . 56 . . . 57 . . . 59 . . . 61 . . . 62 . . . 64 . . . 65 . . . 4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . .
51 52 55 56 57 58 60 62 63 65 66 4 5 6 7 8 9 10 11 12 13 14 15
12908.4850 12905.1030 12894.5890 12890.9660 12887.3270 12883.5810 12876.0320 12868.2760 12864.2900 12856.1830 12852.0930 13019.2785 13019.0569 13018.7848 13018.4733 13018.1091 13017.7193 13017.2665 13016.7812 13016.2468 13015.6737 13015.0520 13014.3827
4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 50 . . . 51 . . . 52 . . . 53 . . .
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52
13099.5648 13100.3586 13101.1261 13101.8271 13102.4875 13103.0944 13103.6421 13104.1550 13104.5958 13105.0000 13105.3473 13105.6441 13105.8972 13106.0928 13106.2323 13106.3550 13106.2998 13106.1805 13106.0121 13105.7977 13105.5333 13105.2140 13104.8428 13104.4184 13103.9434 13103.4156 13102.8381 13102.2079 13101.5225 13100.7903 13100.0033 13099.1616 13098.2681 13097.3301 13096.3294 13095.2779 13094.1741 13093.0228 13091.8130 13090.5532 13089.2320 13087.8708 13086.4470 13083.4491 13081.8690 13080.2326 13078.5421
a a a a a a a a a a a
a
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
[42 201 244 79 260 [123 70 242 21 [215 84 125 124 62 49 [47 47 [44 [15 [29 16 35 5
16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . .
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38
13013.6730 a 13012.9107 13012.1101 13011.2595 13010.3693 13009.4277 13008.4459 13007.4151 13006.3399 13005.2175 13004.0482 13002.8371 13001.5743 13000.2680 12998.9130 12997.5146 12996.0675 12994.5721 12993.0298 12991.4424 12989.8007 12988.1235 12986.3883
32 [18 2 [26 4 [26 [1 [10 [5 [11 [26 2 [22 [17 [31 [12 [12 [22 [29 [14 [66 5 [25
39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . .
39 40 41 42 43 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62
12984.6093 12982.7798 12980.9049 12978.9735 12976.9977 12972.9913 12970.7884 12968.6139 12966.4038 12964.1261 12961.7981 12959.4319 12957.0094 12954.5370 12952.0121 12949.4470 a 12946.8150 a 12944.1383 12941.4084 12938.6339 12935.7990 12932.9177 12929.9730
[12 [23 [2 [60 [76 16 4 [30 78 8 [64 [16 [26 [30 [49 38 [30 [32 [50 5 [26 3 [79
63 . . . 64 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 70 . . . 71 . . . 72 . . . 73 . . . 74 . . . 75 . . . 76 . . . 78 . . . 81 . . . 82 . . . 83 . . . 84 . . . 85 . . . 86 . . . 88 . . . 89 . . .
63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 81 82 83 84 85 86 88 89
12926.9961 12923.9489 12920.8479 12917.7045 12914.5040 12911.2500 12907.9400 12904.5840 12901.1720 12897.6840 12894.1680 12890.5810 12886.9470 12883.2410 12875.7070 12863.9670 12859.9350 12855.8630 12851.7630 12847.5170 12843.2620 12834.5950 12830.1620
42 [11 [73 [26 [16 [6 [17 51 102 [63 38 [23 [4 [15 [2 26 [24 94 500 17 18 179 133
46 47 48 49 50 51 52 53 54 56 58 59 60 62 63 64 68 71 73 74 75 78 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
12994.3757 12990.9654 12987.5040 12983.9983 12980.4343 12976.8239 12973.1590 12969.4472 12965.6677 12957.9700 12950.0620 12946.0310 12941.9360 12933.6190 12929.3610 12925.0660 12907.3310 12893.4560 12883.9680 12879.1260 12874.2230 12859.2280 13095.3071 13095.0588 13094.7548 13094.3969 13093.9877 13093.5369 13093.0228 13092.4640 13091.8557 13091.1975 13090.4881 13089.7273 13088.9072 13088.0402 13087.1278 13086.1610 13085.1436 13084.0732 13082.9473 13081.7798 13080.5616 13079.2843 13077.9615 13076.5857 13075.1585
0 [34 [64 [117 [33 7 23 92 6 20 32 58 [28 118 [8 29 [33 [176 54 4 [111 [33 [59 [0 8 [14 [41 26 [33 [29 [12 16 40 61 [3 [25 8 9 13 [2 [60 [24 19 [18 2 6 9
29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 64 . . . 66 . . . 68 . . . 69 . . . 70 . . . 71 . . . 72 . . . 73 . . . 74 . . . 75 . . . 76 . . . 79 . . .
29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 66 68 69 70 71 72 73 74 75 76 79
13073.6757 13072.1486 13070.5698 13068.9347 13067.2521 13065.5097 13063.7241 13061.8835 13059.9904 13058.0467 13056.0548 13054.0036 13051.9064 13049.7524 13047.5525 13045.2945 13042.9866 13040.6242 13038.2119 13035.7451 13033.2227 13030.6691 13028.0312 13025.3563 13022.6202 13019.8342 13017.0039 13014.1140 13011.1659 13008.1721 13005.1188 13002.0155 12998.8569 12995.6438 12992.3850 12989.0600 12982.2560 12975.2380 12971.6390 12967.9910 12964.2880 12960.5250 12956.7150 12952.8420 12948.9050 12944.9330 12932.6520
36 [105 1 [50 3 31 [23 84 [18 24 9 [0 66 70 25 12 75 11 [28 [11 22 23 22 8 6 [5 6 13 [13 16 18 [3 [17 48 12 [6 [18 21 5 19 [50 13 [18 22 33 19 1
54 . . . 56 . . . 57 . . . 58 . . . 60 . . . 61 . . . 64 . . . 66 . . . 68 . . . 71 . . . 72 . . . 76 . . . 78 . . . 81 . . . 82 . . . 85 . . . 86 . . . 89 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 34 . . . 35 . . . 37 . . . 38 . . . 39 . . . 41 . . . 42 . . . 43 . . . 44 . . .
53 55 56 57 59 60 63 65 67 70 71 75 77 80 81 84 85 88 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 35 36 38 39 40 42 43 44 45
13076.7945 13073.1476 13071.2526 13069.2821 13065.1989 13063.0779 13056.3770 13051.6370 13046.6760 13038.8010 13036.0680 13024.5620 13018.4670 13008.8820 13005.5810 12995.3100 12991.7640 12980.7850 13078.0563 13076.3299 13074.5626 13072.7385 13070.8615 13068.9347 13066.9580 13064.9412 13062.8609 13058.5532 13056.3245 13054.0452 13051.7175 13049.3385 13046.9009 13044.4199 13041.8855 13039.2939 13036.6623 13033.9840 13028.4492 13025.6103 13019.7779 13016.7812 13013.7306 13007.4826 13004.2825 13001.0389 12997.7300
a a a a a a a a a a a a
a
A 3' ÈX 3* 0È1 3 2 [47 45 . . . [40 46 . . . 62 47 . . . [48 48 . . . [50 49 . . . [25 50 . . . [28 51 . . . 7 52 . . . 55 53 . . . [12 55 . . . 10 57 . . . 26 58 . . . 35 59 . . . [60 61 . . . 5 62 . . . 20 63 . . . [27 67 . . . [37 70 . . . 10 72 . . . [36 73 . . . 13 74 . . . 3 77 . . . [28 4 . . . . [52 5 . . . . [66 6 . . . . 25 7 . . . . [10 8 . . . . [29 9 . . . . [25 10 . . . [19 11 . . . 12 12 . . . 38 13 . . . [12 14 . . . 12 15 . . . 11 16 . . . [52 17 . . . [4 18 . . . 86 19 . . . 19 20 . . . 36 21 . . . 63 22 . . . 40 23 . . . [8 24 . . . [30 25 . . . [10 26 . . . 50 27 . . . [6 28 . . .
336
a a a a a a a a a a a a a
a a a a a a a a a a a a a a a a a a a
a
a a a a a a a a a a a a a
[30 1 30 12 35 [24 1 [7 [20 [23 13 [25 [2 [26 13 [7 [1 [17 [6 [15 [53 126 [11 12 [47 [72 [9 [8 [54 [22 [48 [36 [39 [46 32 [11 [2 51 1 10 22 [14 35 10 [98 3 24
TABLE 1ÈContinued J@
J@@
Observed
80 . . . 81 . . . 82 . . . 83 . . .
80 81 82 83
12928.4460 12924.1820 12919.8590 12915.4810
5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 47 . . . 48 . . . 49 . . .
4 5 6 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48
13167.5401 13168.2861 13168.9668 13169.6049 13170.1741 13170.6985 13171.1609 13171.5687 13171.9194 13172.2211 13172.4587 13172.6483 13172.6003 13172.3963 13172.1370 13171.8279 13171.4544 13171.0267 13170.5515 13170.0160 13169.4243 13168.7775 13168.0731 13167.3235 13166.5028 13165.6366 13164.7133 13163.7328 13162.6961 13161.6048 13160.4614 13159.2563 13157.9919 13156.6855 13155.3148 13153.8927 13150.8667 13149.2740 13147.6167
19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 32 . . . 33 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 43 . . . 44 . . . 45 . . .
18 19 20 21 22 23 24 25 26 27 28 29 31 32 35 36 37 38 39 42 43 44
14889.1248 14889.0270 14888.8862 14888.6816 14888.4256 14888.1047 14887.7374 14887.2990 14886.8084 14886.2594 14885.6487 14884.9795 14883.4610 14882.6070 14879.7015 14878.6160 14877.4650 14876.2510 14874.9840 14870.7890 14869.2640 14867.7050
O[C a a a a
a a a a a a a a a
J@
J@@
Observed
36 33 9 5
84 . . . 85 . . . 87 . . . 88 . . .
84 85 87 88
12911.0400 12906.5540 12897.4020 12892.7290
[91 [35 [79 4 [46 9 [1 [3 [21 25 [15 19 22 5 [10 32 [16 [49 [2 [3 [11 [14 [37 43 [32 [6 4 [0 [11 [10 26 1 [58 19 11 47 [24 [18 [98
50 . . . 51 . . . 52 . . . 61 . . . 66 . . . 74 . . . 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 20 . . . 21 . . . 22 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 31 . . . 32 . . . 33 . . . 34 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 45 . . . 46 . . .
49 50 51 60 65 73 10 11 12 13 14 15 16 17 18 19 21 22 23 25 26 27 28 29 30 32 33 34 35 37 38 39 40 41 42 43 44 46 47
13145.9144 13144.1589 13142.3405 13123.4300 a 13110.9640 a 13088.0560 a 13149.8121 13148.1836 13146.5019 13144.7624 13142.9700 13141.1354 13139.2345 13137.2897 13135.2657 13133.2085 13128.9170 13126.6837 13124.4054 13119.6768 13117.2274 13114.7251 13112.1696 13109.5647 13106.8915 13101.4018 13098.5705 13095.6916 13092.7534 13086.7087 13083.6168 13080.4584 13077.2502 13073.9853 13070.6669 13067.3024 13063.8714 13056.8522 13053.2743
A 3' ÈX 3* 0È1 4 3 [68 47 . . . [12 48 . . . [22 49 . . . [256 50 . . . [186 51 . . . 25 52 . . . 65 53 . . . 24 65 . . . 1 67 . . . [50 4 . . . . [79 5 . . . . 19 6 . . . . 3 7 .... 96 8 . . . . [53 9 . . . . 14 10 . . . 21 11 . . . [29 12 . . . 17 13 . . . 30 14 . . . 6 15 . . . [2 16 . . . 3 17 . . . 61 18 . . . [20 19 . . . 20 20 . . . [7 21 . . . 33 22 . . . 25 23 . . . [45 26 . . . 40 27 . . . 3 28 . . . 12 29 . . . [4 30 . . . [11 31 . . . 63 32 . . . 15 33 . . . [24 34 . . . 87
14866.0610 14864.3370 14862.6030 14860.7290 14854.8610 14850.6330 14846.1460 14841.4070 14836.4070 14822.7060 14816.7760 14813.7260 14804.1130 14861.7170 14856.1660 14850.0950 14847.9558 14845.7586 14843.5203 14841.2126 14836.4070 14833.9430
A 3' ÈX 3* 1È0 2 1 111 26 . . . [73 31 . . . 271 34 . . . [157 35 . . . [105 37 . . . [46 38 . . . [10 40 . . . 91 44 . . . 184 58 . . . [90 8 . . . . [47 9 . . . . 130 10 . . . 79 11 . . . 173 12 . . . 131 13 . . . 26 14 . . . [18 15 . . . [68 16 . . . 46 17 . . . 43 18 . . . [131 19 . . . 39 20 . . .
90 [46 [32 [76 [50 [91 [10 [54 [32 [5 [3 7 9 [41 [21 23 19 [6 50 [39 [100 119
46 . . . 47 . . . 48 . . . 49 . . . 52 . . . 54 . . . 56 . . . 58 . . . 60 . . . 65 . . . 67 . . . 68 . . . 71 . . . 12 . . . 15 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 24 . . . 25 . . .
45 46 47 48 51 53 55 57 59 64 66 67 70 13 16 19 20 21 22 23 25 26
a a a a
a a a a a a a a a a a a a a a a
a a
O[C
J@
J@@
Observed
[58 2 48 [32
89 . . . 91 . . . 94 . . . 95 . . .
89 91 94 95
12888.0070 12878.4000 12863.5140 12858.4310
337
O[C
J@
J@@
Observed
O[C
a a a a
[23 112 [46 [130
96 . . . 97 . . . 98 . . .
96 97 98
12853.3120 a 12848.1090 a 12842.8520 a
19 [77 [11
48 49 50 51 52 53 54 66 68 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 34
13049.6233 13045.9185 13042.1797 13038.3856 13034.5010 13030.5967 13026.6350 a 12974.7130 a 12965.3120 a 13162.4557 13162.1856 13161.8522 13161.4691 13161.0280 13160.5266 13159.9730 13159.3606 13158.6998 13157.9919 13157.2111 13156.3812 13155.4992 13154.5567 13153.5659 13152.5160 13151.4081 13150.2498 13149.0350 13147.7649 13143.6237 13142.1326 13140.5892 13138.9874 13137.3314 13135.6203 13133.8558 13132.0324 13130.1606
9 [63 68 189 [53 53 127 [294 [181 [75 [11 [28 12 24 [14 [22 [64 [39 68 [3 [12 10 [22 15 13 [17 [1 1 2 0 [6 14 2 [2 [8 3 [25 12
35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 64 . . . 67 . . . 68 . . . 70 . . . 72 . . . 73 . . . 75 . . . 77 . . . 78 . . . 81 . . . 83 . . .
35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 64 67 68 70 72 73 75 77 78 81 83
13128.2297 13126.2434 13124.2050 13122.1030 13119.9559 13117.7511 13115.4930 13113.1739 13110.8047 13108.3832 13105.8972 13103.3579 13100.7804 13098.1259 13095.4253 13092.6703 13089.8605 13086.9912 13084.0732 13081.0980 13078.0563 13074.9771 13071.8320 13068.6291 13065.3650 13062.0680 13048.2770 13037.3460 13033.5830 13025.9110 13017.9950 13013.9640 13005.7230 12997.2500 12992.9280 12979.6020 12970.4400
a a a a a a a a a a a a a
9 1 23 [42 [8 [1 24 [12 1 42 [12 [48 85 [2 1 12 28 [1 37 55 [39 45 25 [19 [12 6 43 56 [13 75 [25 42 85 80 76 [10 [13
27 32 35 36 38 39 41 45 59 8 9 10 11 12 13 14 15 16 17 18 19 20
14831.3990 14817.8170 14808.9430 14805.9220 14799.5880 14796.3400 14789.6560 14775.5900 14718.5840 14877.8004 14877.2939 14876.7318 14876.1069 14875.4265 14874.6908 14873.8995 14873.0455 14872.1338 14871.1695 14870.1373 14869.0613 14867.9243
[10 [109 [356 118 [68 [73 [163 [65 185 [17 12 53 34 29 41 68 39 6 20 [71 [24 [11
21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . .
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
14866.7324 14865.4753 14864.1651 14862.7954 14861.3610 a 14859.8857 14858.3304 14856.7310 14855.0672 14853.3419 14851.5673 14849.7262 14847.8234 14845.8710 a 14843.8420 14841.7663 14839.6333 14837.4298 14835.1679 14832.8441 14830.4705 14828.0237
30 [2 16 19 [41 73 [28 17 6 [29 33 22 [10 58 [43 [12 48 5 [17 [52 24 [23
a a a a a a a a a
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . .
43 44 45 46 47 48 49 50 51
14825.5241 14822.9559 14820.3349 14817.6510 14814.8991 14812.0780 14809.2128 14806.2720 14803.2810
14 [21 32 73 53 [37 55 17 103
52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 58 . . . 59 . . . 60 . . .
52 53 54 55 56 58 59 60
14800.2130 a 14797.0847 14793.8938 14790.6460 a 14787.3213 14780.5094 14776.9865 14773.4200 a
49 23 4 52 [32 93 [49 19
62 . . . 63 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 70 . . .
62 63 65 66 67 68 69 70
14766.0698 14762.3087 14754.5700 14750.6080 14746.5800 14742.4770 14738.2930 14734.0810
[74 [3 [64 [35 [6 [64 [267 [84
72 . . . 73 . . . 77 . . . 78 . . . 80 . . . 81 . . . 82 . . . 83 . . .
72 73 77 78 80 81 82 83
14725.4070 14720.9800 14702.5940 14697.8150 14688.0760 14683.0890 14678.0620 14672.9550
14955.2592 14954.1631 14952.9942 14951.7738 14950.4754 14949.1070 14947.6879 14946.1894 14944.6405 14930.9910 14928.9148 14926.7562 14924.5674 14922.2919 14919.9618 14917.5633 14915.1099 14912.5855 14907.3487 14904.6493 14901.8693 14899.0235 14896.1214 14893.1682 14890.1318 14877.3755
A 3' ÈX 3* 1È0 3 2 [16 37 . . . 30 38 . . . [5 39 . . . 93 41 . . . 60 42 . . . [24 43 . . . 34 44 . . . [50 45 . . . 14 6 . . . . 11 7 . . . . 41 8 . . . . [121 9 . . . . 47 10 . . . [20 12 . . . 0 13 . . . [32 14 . . . 20 15 . . . [6 16 . . . [38 17 . . . 86 18 . . . 37 19 . . . [35 20 . . . [36 21 . . . 87 22 . . . 13 23 . . . [34
38 39 40 42 43 44 45 46 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23
14870.6183 14867.1459 14863.6128 14856.3445 14852.6151 14848.8062 14844.9570 14841.0369 14954.3265 14953.8866 14953.3876 14952.8178 14952.1838 14950.7352 14949.9095 14949.0209 14948.0664 14947.0645 14945.9827 14944.8424 14943.6377 14942.3676 14941.0389 14939.6507 14938.1840
[27 [4 50 55 66 [78 17 46 [100 [71 1 [2 [13 57 29 7 [42 70 18 15 3 [27 [8 52 [37
24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 49 . . . 50 . . .
24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 49 50
14936.6667 14935.0816 14933.4266 14931.7227 14929.9434 14928.1066 14926.2033 14924.2310 14922.2034 14920.1043 14917.9410 14915.7152 14913.4255 14911.0752 14908.6577 14906.1743 14903.6259 14901.0191 14898.3415 14895.5996 14892.7942 14889.9268 14886.9900 14877.7992 14874.6040
5 6 [55 33 6 41 51 11 58 30 2 [9 [17 12 13 [1 [19 24 6 [8 [9 19 4 60 68
10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
15018.8501 15017.2870 15016.4096 15015.4550 15014.4383 15013.3479 15012.2001 15010.9718 15009.6848 15008.3283 15006.9000 15005.4110 15003.8434 15002.2177 15000.5223 14998.7610 14996.9271 14995.0260 14993.0631
[23 [31 23 [15 4 [35 30 [33 [5 8 [21 20 [46 [17 [6 22 0 [16 27
30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 47 . . . 48 . . . 49 . . . 51 . . . 52 . . .
30 31 32 33 34 35 36 37 38 41 42 43 44 45 47 48 49 51 52
14991.0274 14988.9236 14986.7535 14984.5168 14982.2136 14979.8391 14977.3954 14974.8881 14972.3169 14964.1798 14961.3277 14958.4157 14955.4351 14952.3844 14946.0852 14942.8305 14939.5022 14932.6711 14929.1363
19 5 6 18 40 26 [3 8 57 28 [26 [2 14 6 43 27 [46 97 [4
34 35 36 37 38 39 40
13884.2568 13883.4333 13882.5633 13881.6294 13880.6416 13879.6116 13878.5130
8 [25 21 [25 [62 29 [14
42 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . .
41 43 44 45 46 47 48
13877.3610 13874.8947 13873.5784 13872.2068 13870.7837 13869.2900 13867.7486
[37 [36 [29 [12 53 [22 [7
3 .... 4 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . .
2 3 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
14958.4844 14959.3022 14960.7420 14961.3701 14961.9197 14962.4152 14962.8651 14963.2311 14963.5367 14963.7821 14963.9709 14964.0588 14963.9146 14963.7142 14963.4528 14963.1205 14962.7207 14962.2651 14961.7427 14961.1608 14960.5040 14959.7965 14959.0151 14958.1748 14957.2649 14956.3063
a a a a
[57 [29 [32 [0 [120 [146 7 [45 [66 [53 29 53 [10 4 46 18 [45 [26 [35 2 [67 [1 [32 [8 [36 94
33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 35 . . .
32 33 34 35 36 37 38 39 40 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 36
11 . . . 12 . . . 13 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 33 . . . 35 . . .
10 11 12 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 32 34
15029.9645 15030.2267 15030.4233 15030.6037 15030.5181 15030.3738 15030.1590 15029.8811 15029.5236 15029.1053 15028.0653 15027.4465 15026.7508 15025.9934 15025.1646 15024.2690 15023.3032 15022.2700 15020.0007 15017.4627
[30 [33 [11 47 [30 [11 [16 29 [41 [37 [19 24 [19 1 [10 [8 [26 [36 [38 2
36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 43 . . . 44 . . . 45 . . . 46 . . . 48 . . . 49 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 8 .... 9 ....
35 36 37 38 39 42 43 44 45 47 48 17 18 19 20 21 22 23 8 9
15016.0910 15014.6430 15013.1343 15011.5599 15009.9139 15004.5669 15002.6370 15000.6582 14998.5996 14994.2800 14992.0128 14995.0260 14992.7953 14990.5078 14988.1394 14985.7042 14983.2012 14980.6360 15020.1363 15019.5256
A 3' ÈX 3* 1È0 4 3 20 10 . . . [44 12 . . . [31 13 . . . 8 14 . . . 14 15 . . . 46 16 . . . [51 17 . . . 48 18 . . . 34 19 . . . 39 20 . . . [2 21 . . . [16 22 . . . [21 23 . . . 81 24 . . . 48 25 . . . 22 26 . . . [10 27 . . . 12 28 . . . [67 29 . . . [60
21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . .
20 21 22 23 24 25 26
13890.1175 13890.0348 13889.9031 13889.7215 13889.4907 13889.2075 13888.8667
28 [48 [91 [109 [94 [77 [107
28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . .
27 28 29 30 31 32 33
13888.4785 13888.0396 13887.5392 13886.9891 13886.3907 13885.7326 13885.0261
A 3' ÈX 3* 1È1 2 1 [83 35 . . . [34 36 . . . [67 37 . . . [64 38 . . . [6 39 . . . [9 40 . . . 44 41 . . .
338
a a a a a a
O[C a a a a a a a a
[20 [16 17 [58 43 [46 158 257
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
50 . . . 51 . . . 52 . . . 53 . . . 55 . . . 56 . . . 57 . . . 58 . . . 60 . . . 61 . . . 62 . . . 67 . . . 4 .... 5 .... 6 .... 7 .... 8 .... 10 . . . 11 . . . 12 . . . 14 . . . 15 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . .
49 50 51 52 54 55 56 57 59 60 61 66 5 6 7 8 9 11 12 13 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31
13866.1501 13864.4919 13862.7711 13861.0083 13857.2918 13855.3392 13853.3392 13851.2725 13846.9580 13844.7250 13842.4360 13830.0440 13874.0677 13872.7530 13871.4065 13870.0042 13868.5467 13865.4839 13863.8846 13862.2150 13858.7501 13856.9393 13853.1590 13851.2021 13849.1807 13847.1160 13844.9886 13842.8280 13840.6039 13838.3235 13836.0042 13833.6286 13831.1983 13828.7140 13826.1782 13823.5916
8 [2 [64 29 45 [18 29 [4 [111 [34 79 181 99 [20 49 67 39 26 103 [15 19 17 [38 36 [22 2 [86 10 [10 [74 [8 18 18 1 [5 7
31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 47 . . . . 48 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 67 . . . . 71 . . . . 3 ..... 4 ..... 5 ..... 6 ..... 7 ..... 8 ..... 9 ..... 10 . . . . 11 . . . . 12 . . . . 13 . . . . 14 . . . . 15 . . . .
32 33 34 35 36 37 38 41 42 43 44 48 49 51 52 53 54 56 57 58 59 68 72 3 4 5 6 7 8 9 10 11 12 13 14 15
13820.9502 13818.2566 13815.5036 13812.7094 13809.8588 13806.9495 13803.9886 13794.7931 13791.6111 13788.3723 13785.0962 13771.4057 13767.8372 13760.5513 13756.8400 a 13753.0433 13749.1932 13741.3508 13737.3410 13733.2682 13729.1558 13689.4310 a 13670.2410 a 13879.5096 13879.3066 13879.0682 13878.7534 13878.3975 13877.9939 13877.5358 13877.0276 13876.4730 13875.8577 13875.2024 13874.4960 13873.7317
[1 [3 [68 [13 11 [17 [24 60 3 [78 15 16 [60 [31 138 16 [78 10 20 [29 99 175 152 [4 [10 134 24 8 22 [1 [16 14 [54 [11 32 7
16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . .
16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
13872.9195 13872.0556 13871.1380 13870.1743 13869.1492 13868.0791 13865.7821 13864.5555 13863.2787 13861.9431 13860.5607 13859.1253 13857.6324 13856.0917 13854.4909 13852.8457 13851.1434 13849.3886 13847.5799 13845.7126 13843.7978 13841.8243 13839.7997 13837.7181 13835.5852 13833.3920 13831.1435 13828.8464 13826.4908 13824.0776 13821.6130 13819.0817 13816.5041 13813.8705 13811.1718
16 22 6 44 [16 [7 0 4 28 [12 6 20 [12 7 [44 [7 [6 5 14 [24 4 [12 3 [4 22 [5 [34 3 10 [3 29 [45 [21 8 [49
52 . . . . 53 . . . . 54 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . 61 . . . . 62 . . . . 63 . . . . 64 . . . . 65 . . . . 66 . . . . 67 . . . . 70 . . . . 71 . . . . 72 . . . . 74 . . . . 76 . . . . 78 . . . . 80 . . . . 82 . . . . 84 . . . . 87 . . . . 88 . . . . 89 . . . . 91 . . . . 92 . . . . 93 . . . . 94 . . . . 95 . . . . 96 . . . . 97 . . . . 100 . . .
52 53 54 56 57 58 59 60 61 62 63 64 65 66 67 70 71 72 74 76 78 80 82 84 87 88 89 91 92 93 94 95 96 97 100
13808.4278 13805.6199 13802.7534 13796.8480 13793.8152 13790.7311 13787.5624 13784.3607 13781.0930 13777.7632 13774.3650 13770.9300 13767.4093 13763.8451 13760.2210 13748.9990 13745.1260 13741.2120 13733.1580 13724.8900 13716.3580 13707.5700 13698.5430 13689.2600 13674.8700 13669.9190 13664.9250 13654.7400 13649.5480 13644.3170 13638.9590 13633.6000 13628.1510 13622.6240 13605.6720
9 [2 [28 [79 [40 65 [95 [0 20 8 [10 16 [13 [11 [10 46 [18 117 [41 120 116 44 92 107 250 38 39 16 [14 220 [16 108 137 48 74
23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 47 48 49 51 52 53 54 56 62 63
13916.7530 13914.3716 13911.9395 13909.4521 13906.9068 13904.3023 13901.6376 13898.9209 13896.1424 13893.3055 13890.4153 13887.4697 13884.4693 13881.4087 13878.2816 13875.0977 13871.8676 13868.5709 13865.2174 13861.8110 13854.8193 13843.8897 13840.1268 13836.3194 13828.5070 13824.5160 13820.4700 13816.3560 13807.9720 13781.3700 13776.7260
40 [19 [14 10 28 26 [5 17 [5 [39 [30 [1 54 83 23 [29 33 7 [10 22 35 [13 [64 24 [25 [20 20 [33 65 32 1
63 . . . . 65 . . . . 66 . . . . 68 . . . . 71 . . . . 72 . . . . 73 . . . . 76 . . . . 77 . . . . 78 . . . . 79 . . . . 80 . . . . 83 . . . . 84 . . . . 86 . . . . 87 . . . . 89 . . . . 90 . . . . 6 ..... 7 ..... 8 ..... 9 ..... 10 . . . . 11 . . . . 12 . . . . 13 . . . . 14 . . . . 15 . . . . 16 . . . . 17 . . . . 18 . . . .
64 66 67 69 72 73 74 77 78 79 80 81 84 85 87 88 90 91 6 7 8 9 10 11 12 13 14 15 16 17 18
13772.0290 13762.4460 13757.5630 13747.6200 13732.2600 13727.0180 13721.7150 13705.4420 13699.8810 13694.2830 13688.5980 13682.8730 13665.3140 13659.3240 13647.1670 13640.9990 13628.4710 13622.1060 13954.4213 13954.0260 13953.5604 13953.0481 13952.4770 13951.8463 13951.1645 13950.4186 13949.6132 13948.7612 13947.8449 13946.8730 13945.8400
16 . . . 17 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 51 . . .
15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 50
13964.8285 13964.9134 13964.6836 13964.4838 13964.2326 13963.9039 13963.5285 13963.1031 13962.6054 13962.0590 13961.4533 13960.7906 13960.0670 13959.2897 13958.4401 13957.5399 13956.5790 13955.5666 13954.4941 13953.3542 13952.1636 13950.9118 13949.6132 13948.2418 13946.8046 13945.3126 13943.7694 13942.1583 13940.4872 13938.7647 13933.2200
a a a a
7 [15 [30 [14 67 [48 [50 27 [38 [9 9 39 43 93 5 [4 [36 5 32 [28 [5 [6 116 101 20 [16 30 [9 [51 [10 [70
52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 59 . . . . 62 . . . . 63 . . . . 65 . . . . 68 . . . . 70 . . . . 78 . . . . 82 . . . . 84 . . . . 86 . . . . 87 . . . . 90 . . . . 97 . . . . 103 . . . 10 . . . . 11 . . . . 12 . . . . 14 . . . . 15 . . . . 16 . . . . 17 . . . . 18 . . . . 19 . . . . 20 . . . . 21 . . . .
51 52 53 54 55 56 58 61 62 64 67 69 77 81 83 85 86 89 96 102 11 12 13 15 16 17 18 19 20 21 22
13931.2574 13929.2396 13927.1387 13925.0008 13922.7903 13920.5207 13915.8070 13908.2710 13905.6330 13900.1770 13891.5280 13885.4490 13858.6210 13843.6830 13835.8220 13827.7340 13823.5650 13810.6920 13778.3460 13747.9620 13940.8025 13939.1088 13937.3647 13933.6967 13931.7715 13929.8045 13927.7710 13925.6780 13923.5304 13921.3248 13919.0666
a a a a a a a a a a a a a a
A 3' ÈX 3* 1È1 3 2 [33 22 . . . 54 23 . . . [86 24 . . . 7 25 . . . [19 26 . . . [29 27 . . . 31 28 . . . 49 29 . . . 23 30 . . . 20 31 . . . 12 32 . . . [10 33 . . . [32 34 . . . 13 35 . . . [11 36 . . . 297 37 . . . 181 38 . . . 119 39 . . . 152 40 . . . [46 41 . . . 37 43 . . . 1 46 . . . 33 47 . . . 10 48 . . . [57 50 . . . 29 51 . . . 21 52 . . . [11 53 . . . [19 55 . . . [36 61 . . . [6 62 . . .
339
a a a a a a a
a
a
a a a a a a a a a a a a a a a a a a a a a
a a a a a a a a a a a a a a a a a a
36 10 [19 [43 [7 [2 0 33 [97 18 [12 [40 83 1 [55 [35 [22 [75 [14 35 [46 [23 [15 [31 15 [8 [53 10 2 12 [16
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . .
19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
13944.7544 13943.6089 13942.4090 13941.1445 13939.8277 13938.4544 13937.0189 13935.5260 a 13933.9813 13932.3764 13930.7139 13928.9925 13927.2144 13925.3789 13923.4759 13921.5308 13919.5155 13917.4494 13915.3242
5 1 28 [18 [10 8 [20 [46 [14 [6 4 2 11 25 [56 22 [22 7 27
38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 56 . . .
38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 56
13913.1364 13910.8929 13908.5970 13906.2284 13903.8130 13901.3368 13898.8019 13896.2043 13893.5441 13890.8345 13888.0631 13885.2318 13882.3388 13879.3939 13876.3845 13873.3185 13870.1866 13863.7541
3 5 68 [13 23 36 50 25 [40 [8 [5 [10 [40 2 [6 14 [29 [13
57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 70 . . . 71 . . . 72 . . . 78 . . . 80 . . . 82 . . .
57 58 59 60 61 62 63 65 66 67 68 69 70 71 72 78 80 82
13860.4424 13857.0798 13853.6546 13850.1711 13846.6217 13843.0089 13839.3401 13831.8256 13827.9646 13824.0594 13820.0915 13816.0501 13811.9558 13807.8070 13803.5838 13776.9620 a 13767.5850 a 13757.9590 a
[61 [19 [3 34 14 [36 [40 5 [97 [30 23 [47 [31 57 18 10 [14 [3
83 . . . . 87 . . . . 88 . . . . 89 . . . . 90 . . . . 91 . . . . 92 . . . . 93 . . . . 94 . . . . 96 . . . . 97 . . . . 98 . . . . 101 . . . 102 . . . 103 . . . 104 . . . 106 . . . 107 . . .
83 87 88 89 90 91 92 93 94 96 97 98 101 102 103 104 106 107
13753.0510 13732.7770 13727.5430 13722.2540 13716.8960 13711.4760 13705.9820 13700.4330 13694.8130 13683.3750 13677.5650 13671.6850 13653.6320 13647.4850 13641.2680 13634.9850 13622.2210 13615.7070
13917.3104 13913.5572 13909.7358 13905.8386 13901.9054 13897.8971 13893.8233 13804.9710 a 13772.3050 a 14020.3213 14019.7550 14019.1479 14018.4666 14017.7189 14016.9211 14016.0549 14014.1481 14013.0923 14010.8108 14009.5795 14008.2929 14006.9301 14005.5162 14004.0287 14002.4950 14000.8910 13999.2310 13997.5028 13995.7149 13993.8644 13991.9564 13989.9864 13987.9514 13985.8589
[28 73 99 [25 97 77 8 [73 [203 43 [66 34 8 [64 [21 [46 10 [63 [58 [38 34 [19 22 [59 14 [1 38 10 0 [21 [3 8 [15 1
35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . 61 . . . . 62 . . . . 63 . . . . 64 . . . . 65 . . . . 66 . . . . 67 . . . . 70 . . . .
12892.5693 12891.6622 12890.7157 12889.7114 12888.6642 12887.5607 12886.4022 12885.1981 12883.9457 12882.6376 12881.2888 12879.8880
20 [26 29 3 46 27 [40 [58 [54 [98 [38 14
54 . . . . 55 . . . . 61 . . . . 62 . . . . 65 . . . . 66 . . . . 68 . . . . 70 . . . . 72 . . . . 81 . . . . 10 . . . . 11 . . . .
12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 45 . . . 46 . . . 47 . . . 48 . . . 50 . . . 51 . . . 53 . . .
11 12 13 14 15 17 18 19 20 21 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 44 45 46 47 49 50 52
14030.5933 14030.8616 14031.0663 14031.2090 14031.3043 14031.2801 14031.1744 14031.0088 14030.7834 14030.4974 14028.7157 14028.1338 14027.4619 14026.7421 14025.9715 14025.1166 14024.2053 14023.2305 14022.2064 14021.1149 14019.9558 14018.7350 14017.4608 14016.1201 14014.7043 14013.2393 14011.7241 14006.7569 14004.9891 14003.1380 14001.2393 13997.2482 13995.1647 13990.7892
27 20 [4 [30 90 39 5 [8 [0 21 [77 82 [39 [19 112 21 [15 [67 10 32 [1 [31 26 38 [79 [67 65 [24 71 [44 [11 [12 45 [50
54 . . . 55 . . . 57 . . . 58 . . . 59 . . . 61 . . . 62 . . . 63 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 39 . . . 40 . . . 41 . . . 42 . . .
53 54 56 57 58 60 61 62 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 41 42 43
13988.5229 13986.2047 13981.3060 13978.7802 13976.1889 13970.8239 13968.0472 13965.1887 13995.9320 13993.8073 13991.6240 13989.3927 13987.0967 13984.7222 13982.2972 13979.8103 13977.2627 13974.6615 13972.0039 13969.2686 13966.4734 13963.6232 13960.7101 13957.7363 13954.6978 13951.6011 13948.4484 13945.2301 13941.9581 13938.6187 13931.7591 13928.2378 13924.6517 13921.0180
A 3' ÈX 3* 1È1 4 3 56 43 . . . 44 269 44 . . . 45 [45 45 . . . 46 [25 46 . . . 47 [29 47 . . . 48 27 48 . . . 49 59 49 . . . 50 [94 68 . . . 69 30 74 . . . 75 [34 8 . . . . 8 [72 9 . . . . 9 23 10 . . . 10 83 11 . . . 11 [30 12 . . . 12 [37 13 . . . 13 [51 14 . . . 14 [63 16 . . . 16 1 17 . . . 17 111 19 . . . 19 54 20 . . . 20 8 21 . . . 21 20 22 . . . 22 14 23 . . . 23 9 24 . . . 24 [35 25 . . . 25 [52 26 . . . 26 [21 27 . . . 27 [37 28 . . . 28 18 29 . . . 29 6 30 . . . 30 [3 31 . . . 31 [12 32 . . . 32 [61 33 . . . 33 21 34 . . . 34
12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 20 . . . 21 . . . 22 . . . 27 . . . 28 . . .
11 12 13 14 15 16 17 19 20 21 26 27
12897.9856 12898.4427 12898.8643 12899.2241 12899.5514 12899.8354 12900.0649 12900.4142 12900.5070 12900.5499 12900.0998 12899.8831
20 [24 28 [82 [65 [25 [73 105 64 [14 [94 25
29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . .
28 29 30 31 32 33 34 35 36 37 38 39
12899.6046 12899.2911 12898.9108 12898.4941 12898.0290 12897.5139 12896.9506 12896.3387 12895.6881 12894.9855 12894.2205 12893.4166
A 3' ÈX 3* 1È2 2 1 [3 41 . . . 40 90 42 . . . 41 [10 43 . . . 42 0 44 . . . 43 4 45 . . . 44 [14 46 . . . 45 [33 47 . . . 46 [56 48 . . . 47 17 49 . . . 48 56 50 . . . 49 [42 51 . . . 50 [39 52 . . . 51
340
O[C a a a a a a a a a a a a a a a a a a
4 [5 [58 [16 [17 11 [50 [8 [22 [57 5 29 [32 [7 [10 3 81 [17
35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70
13983.7017 13981.4893 13979.2123 13976.8590 13974.4759 13972.0039 13969.4775 13966.8956 13964.2456 13961.5397 13958.7709 13955.9347 13953.0481 13950.0911 13947.0748 13943.9929 13940.8574 13937.6567 13934.3953 13931.0729 13927.6787 13924.2336 13920.7291 13917.1555 13913.5287 13909.8226 13906.0747 13902.2494 13898.3641 13894.4301 13890.4153 13886.3371 13882.2071 13869.4300 a
[16 29 43 [93 88 [6 [29 6 [24 2 13 [35 28 2 1 [43 [5 [3 9 28 [54 [25 27 8 75 [30 68 13 [20 81 [1 [93 [80 [15
53 54 60 61 64 65 67 69 71 80 11 12
12876.9230 12875.3740 12864.8990 12862.9620 12856.8570 12854.7170 12850.2720 12845.5800 12840.6860 12815.8850 12875.0073 12873.4850
29 148 58 [15 46 97 181 [12 [15 6 28 156
a a a a a a a a a a a
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 18 . . . 19 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 48 . . .
13 14 15 16 17 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 49
12871.8935 12870.2633 12868.5980 12866.8940 12865.1227 12861.4627 12859.5740 12855.6380 12853.6116 12851.5321 12849.4020 12847.2301 12845.0315 12842.7521 12840.4535 12838.0976 12835.6946 12833.2387 12830.7512 12828.2062 12825.6287 12822.9751 12820.3006 12817.5681 12814.7900 12811.9670 12809.0833 12806.1640 12784.3470
40 [13 32 140 27 [18 52 [29 31 17 [45 [65 109 [64 35 25 10 [67 8 [22 94 [78 14 2 11 50 [39 [2 57
50 . . . 51 . . . 56 . . . 58 . . . 62 . . . 67 . . . 4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . .
51 52 57 59 63 68 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
12777.6550 12774.2390 12756.4190 12748.9170 12733.3640 12712.6880 12888.4989 12888.2691 12888.0036 12887.6903 12887.3348 12886.9314 12886.4854 12885.9958 12885.4569 12884.8775 12884.2518 12883.5763 12882.8593 12882.0965 12881.2888 12880.4347 12879.5353 12878.5914 12877.6019 12876.5627 12875.4802 12874.3488 12873.1758
3 .... 4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . .
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44
12967.5986 12968.4515 12969.2571 12970.0056 12970.7047 12971.3472 12971.9476 12972.4935 12972.9857 12973.4165 12973.8154 12974.1511 12974.4427 12974.6805 12974.8817 12975.0028 12975.0912 12974.7161 12974.4905 12974.2144 12973.8782 12973.4852 12973.0546 12972.5690 12972.0316 12971.4400 12970.7884 12970.0962 12969.3484 12968.5494 12967.6937 12966.7913 12965.8300 12964.8186 12963.7546 12962.6319 12961.4742 12960.2390 12958.9469
[38 [26 24 15 23 [23 22 33 21 [93 [12 [50 [15 [4 156 29 92 [26 [2 34 [12 [106 [55 [35 [11 [7 [80 [36 [25 [1 [17 24 4 11 19 [30 101 [12 [162
46 . . . 47 . . . 48 . . . 49 . . . 51 . . . 52 . . . 54 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 64 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 71 . . . 72 . . . 74 . . . 76 . . . 77 . . . 79 . . . 84 . . . 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . .
45 46 47 48 50 51 53 56 57 58 59 60 61 63 64 65 66 67 68 70 71 73 75 76 78 83 11 12 13 14 15 16 17 18 19 20 21 22 23
12957.6336 12956.2483 12954.8140 12953.3210 12950.1780 12948.5320 12945.0560 12939.4680 12937.4790 12935.4420 12933.3560 12931.2140 12929.0120 12924.4560 12922.0900 12919.6770 12917.2100 12914.6730 12912.0780 12906.7420 12903.9860 12898.3110 12892.3950 12889.3570 12883.1090 12866.4570 12950.3231 12948.7003 12947.0303 12945.3237 12943.5530 12941.7299 12939.8513 12937.9307 12935.9644 12933.9385 12931.8609 12929.7363 12927.5579
a
a
a a a
a a a a a a
a a a a a a a a a a a a a a a a a a a a a a a a
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
[85 [110 [104 [294 [7 [299 31 [37 [14 [23 [6 [21 [12 9 [13 11 22 [13 [10 [12 [8 [12 [13 [2 13 [10 [6 [27 [1
27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . .
27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
12871.9540 12870.6900 a 12869.3668 12868.0038 12866.5926 12865.1326 12863.6374 12862.0873 12860.4865 12858.8408 12857.1439 12855.4010 12853.6116 12851.7682 12849.8795 12847.9432 12845.9502 12843.9333 12841.8365 12839.7031 12837.5196 12835.2899 12832.9990 a 12830.6618 12828.2815 12825.8521 12823.3634 12820.8251 12818.2378
2 48 [29 [36 [54 [88 [1 12 [6 6 [14 [15 5 [33 [36 [27 [96 89 [33 [25 [22 18 [53 [85 [43 13 [15 [29 [22
56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 64 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 70 . . . 71 . . . 72 . . . 73 . . . 75 . . . 76 . . . 78 . . . 79 . . . 80 . . . 81 . . . 82 . . . 84 . . . 86 . . . 87 . . . 88 . . .
56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 75 76 78 79 80 81 82 84 86 87 88
12815.5993 12812.9024 12810.1760 12807.3750 12804.5140 12801.6240 12798.6660 12795.6720 12792.6120 12789.5250 12786.3550 12783.1210 12779.8570 12776.5200 12773.1420 12769.7270 12766.2390 12762.6870 12755.4590 12751.7250 12744.1500 12740.2570 12736.3310 12732.3530 12728.3150 12720.0580 12711.5530 12707.2060 12702.8180
[13 [72 91 27 [11 [23 [87 17 [9 225 163 [4 66 [54 [44 140 139 45 268 8 88 [89 [35 64 128 152 [16 [18 [17
24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 49 51 52 55 56 57 59 60 61 62 63 64 67 68 69
12925.3278 12923.0481 12920.7192 12918.3474 12915.9055 12913.4221 12910.8930 12908.3014 12905.6686 12902.9780 12900.2490 12897.4551 12894.6084 12891.7117 12888.7628 12885.7685 12882.7191 12879.6230 12876.4737 12873.2735 12870.0072 12866.7065 12863.3440 12856.4770 12852.9640 12845.7770 12842.0950 12830.7750 12826.8970 12822.9680 12814.9380 12810.8470 12806.7040 12802.5000 12798.2470 12793.9520 12780.7080 12776.1860 12771.6170
[29 [34 [20 76 [20 [18 38 [18 25 2 109 79 35 4 [33 [10 [23 13 35 63 [52 6 [34 24 38 21 [89 [14 16 62 18 30 52 [4 [18 82 3 [23 21
69 . . . 70 . . . 71 . . . 73 . . . 74 . . . 75 . . . 76 . . . 77 . . . 78 . . . 79 . . . 80 . . . 4 .... 5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . .
70 71 72 74 75 76 77 78 79 80 81 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
12766.9890 12762.3070 12757.5700 12747.9420 12743.0350 12738.0750 12733.0760 12728.0090 12722.8770 12717.7170 12712.4760 12964.2244 12963.9735 12963.6697 12963.3113 12962.9007 12962.4432 12961.9344 12961.3703 12960.7601 12960.0945 12959.3765 12958.6084 12957.7964 12956.9261 12956.0084 12955.0329 12954.0146 12952.9406 12951.8118 12950.6383 12949.4131 12948.1325 12946.8048 12945.4174 12943.9832 12942.4984 12940.9613 12939.3715
A 3' ÈX 3* 1È2 3 2 8 23 . . . [6 24 . . . 23 25 . . . 1 26 . . . [2 27 . . . 59 28 . . . [38 29 . . . 145 30 . . . 32 31 . . . [14 32 . . . [1 33 . . . 0 34 . . . [48 35 . . . [6 36 . . . [34 37 . . . 24 38 . . . 99 39 . . . 33 40 . . . [52 41 . . . 3 42 . . . [3 43 . . . 55 44 . . . [19 45 . . . 2 47 . . . 48 48 . . . [18 50 . . . 22 51 . . . [39 54 . . . [64 55 . . . 56 56 . . . 43 58 . . . 16 59 . . . [58 60 . . . [41 61 . . . 28 62 . . . 11 63 . . . [13 66 . . . 3 67 . . . [10 68 . . .
341
a
a
a a a a a a a a a a a a a a a a a
a a a a a a a a a a a a a a a a a a a a a a a a a a a
a a a a a a a a a a a
14 9 [4 63 [16 [76 22 [9 [14 3 [11 [59 [16 8 [2 [25 [5 14 [11 15 [2 [31 [50 5 [12 10 [33 8 5 [33 [3 24 10 40 [11 [15 [10 [10 [21
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . .
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
12937.7348 12936.0417 12934.2944 12932.4988 12930.6520 12928.7537 12926.7984 12924.7921 12922.7390 12920.6313 12918.4678 12916.2587 12913.9933 12911.6733 12909.3017 12906.8850 a
16 7 [26 [23 [12 3 [32 [54 [24 [16 [44 [4 [2 [21 [30 37
48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 61 . . . 62 . . . 63 . . . 64 . . .
48 49 50 51 52 53 54 55 56 57 58 59 61 62 63 64
12904.4046 12901.8720 12899.2911 12896.6489 12893.9737 12891.2209 12888.4305 12885.5772 12882.6862 12879.7301 12876.7250 12873.6630 12867.3730 12864.1470 12860.8670 12857.5330
[5 [41 [30 [102 28 [87 [44 [97 9 0 38 46 20 9 0 [4
65 . . . 66 . . . 67 . . . 69 . . . 70 . . . 71 . . . 72 . . . 73 . . . 75 . . . 76 . . . 77 . . . 78 . . . 80 . . . 81 . . . 82 . . .
65 66 67 69 70 71 72 73 75 76 77 78 80 81 82
12854.1430 12850.7020 12847.2100 12840.0560 12836.3840 12832.6660 12828.9000 12825.0610 12817.2390 12813.2380 12809.1880 12805.0650 12796.7000 12792.4120 12788.0770
39 40 41 42 43 44 45 46 47 48 49 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
28 29 30 31 32 33 34 35 36 37
5 .... 6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 16 . . . 17 . . . 18 . . . 21 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 36 . . . 37 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . .
7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . .
4 5 6 7 8 9 10 11 12 13 15 16 17 20 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 39 40 41 42 43 44 45 46 47
6 7 8 9 10 11 12 13 14 15
13036.1496 13036.8790 13037.5534 13038.1808 13038.7468 13039.2564 13039.7129 13040.1139 13040.4564 13040.7493 13041.1572 13041.2787 13041.3456 13041.2051 13040.8393 13040.5733 13040.2458 13039.8668 13039.4331 13038.9433 13038.3887 13037.7908 13037.1352 13036.4209 13035.6485 13034.8234 13033.0092 13032.0108 13029.8630 13028.7017 13027.4856 13026.2105 13024.8861 13023.4967 13022.0600 13020.5706 13019.0256 13017.4025
14737.8903 14738.4923 14739.0241 14739.5050 14739.9254 14740.2984 14740.6027 14740.8564 14741.0437 14741.1757
12 [26 [58 [5 [9 [23 [11 2 [12 32 11 12 22 [18 16 38 2 6 22 33 [46 [1 22 18 [11 [9 28 [30 18 6 5 [28 6 [52 [23 39 106 [48
[37 42 [9 3 [16 66 34 72 24 [1
50 . . . 51 . . . 52 . . . 53 . . . 55 . . . 57 . . . 58 . . . 60 . . . 61 . . . 62 . . . 63 . . . 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . .
17 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . .
49 50 51 52 54 56 57 59 60 61 62 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
16 19 20 21 22 23 24 25 26 27
a a a a a a
13014.0217 13012.2419 13010.4165 13008.5359 13004.5819 13000.4084 12998.2461 12993.7301 12991.3892 12988.9874 12986.5402 13016.8720 13015.1992 13013.4599 13011.6832 13009.8506 13007.9468 13005.9934 13003.9925 13001.9363 12999.8122 12997.6420 12995.4163 12993.1334 12990.7994 12988.4194 12985.9661 12983.4641 12980.9049 12978.2965 12975.6419 12972.9113 12970.1450 12967.3250 12964.4364 12961.4742 12958.5212 12955.4645
A 3' ÈX 3* 1È2 4 3 [19 38 . . . [56 39 . . . 13 40 . . . 93 41 . . . 15 42 . . . [1 43 . . . 82 44 . . . 35 45 . . . 33 46 . . . [10 47 . . . 61 48 . . . [17 8 . . . . 6 9 .... [85 10 . . . 3 11 . . . 81 13 . . . 0 14 . . . [27 15 . . . 22 16 . . . 67 17 . . . [17 18 . . . [12 19 . . . [13 20 . . . [38 21 . . . [24 22 . . . 77 23 . . . [6 24 . . . [29 25 . . . [77 26 . . . [68 27 . . . 24 28 . . . [97 29 . . . [29 30 . . . 49 31 . . . [13 32 . . . [267 33 . . . 117 34 . . . 10
14741.2527 14741.1326 14740.9739 14740.7598 14740.4912 14740.1584 14739.7688 14739.3195 14738.8198 14738.2351
A 3' ÈX 3* 2È1 2 1 2 29 . . . [14 30 . . . [41 31 . . . [38 32 . . . 5 33 . . . [6 34 . . . 4 35 . . . 6 36 . . . 96 37 . . . [71 38 . . .
342
O[C
J@
J@@
Observed
[24 [6 48 106 12 10 83 [19 10 [36 [10 [152 69 [24 [19
83 . . . 84 . . . 85 . . . 87 . . . 88 . . . 90 . . . 91 . . . 92 . . . 93 . . . 94 . . . 95 . . . 96 . . . 97 . . . 98 . . .
83 84 85 87 88 90 91 92 93 94 95 96 97 98
12783.6820 12779.2350 12774.7260 12765.5460 12760.8480 12751.3220 12746.4630 12741.5540 12736.5950 12731.5490 12726.4640 12721.3100 12716.1030 12710.8310
12949.2067 12946.0006 12942.7233 12939.4322 12936.0417 12932.6202 12929.1377 12925.5958 12922.0018 12918.3474 12914.6729 13029.6473 13029.1618 13028.5998 13027.9841 13026.6058 13025.8229 13024.9915 13024.1088 13023.1658 13022.1674 13021.1145 13020.0059 13018.8424 13017.6238 13016.3508 13015.0328 13013.6491 13012.1954 13010.7003 13009.1483 13007.5470 13005.8852 13004.1696 13002.3977 13000.5726 12998.6895
[14 20 [114 158 [19 38 30 [28 [62 [156 92 [52 85 10 [48 31 [35 [34 8 1 [6 [6 [10 [9 [7 4 118 127 [11 [11 [28 14 3 5 [2 9 [9
36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 59 . . . 62 . . . 63 . . . 64 . . . 65 . . . 66 . . . 67 . . . 68 . . . 76 . . . 77 . . . 79 . . . 81 . . . 83 . . . 84 . . . 88 . . .
36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 62 63 64 65 66 67 68 76 77 79 81 83 84 88
12994.7623 12992.7056 12990.6122 12988.4618 12986.2452 12983.9811 12981.6522 12979.2754 12976.8366 12974.3583 12971.8095 12969.2104 12966.5532 12963.8440 12961.0755 12958.2820 12955.3944 12952.4629 12949.4596 12946.4305 12943.3319 12940.1806 12933.7113 12923.5854 12920.0938 12916.5450 12912.9499 12909.3017 12905.5802 12901.8156 12869.6480 12865.3710 12856.6450 12847.6990 12838.4970 12833.8470 12814.5180
14737.6138 14736.9289 14736.1783 14735.3741 14734.4999 14733.5700 14732.5896 14731.5558 14730.4368 14729.2640
[10 11 [26 0 [73 [101 [29 116 18 [10
39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . .
38 39 40 41 42 43 44 45 46 47
14728.0258 14726.7338 14725.3901 14723.9712 14722.4952 14720.9571 14719.3571 14717.6815 14715.9633 14714.1602
a a a a a a a a a a a a a a a
O[C a a a a a a a a a a a a a a
a
a a a a a a a
[43 [15 [32 42 [13 [40 [78 [30 107 [37 21 [18 9 [17
2 [96 [10 58 15 49 [13 [3 [60 39 [14 [18 [50 [50 [89 174 50 41 [13 [7 [24 [10 15 12 [35 [96 [59 7 [99 [73 [49 [51 [61 22 [15 137 [18
[78 [72 34 6 25 46 70 [35 61 [62
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
49 . . . 51 . . . 52 . . . 54 . . . 58 . . . 66 . . . 7 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . .
48 50 51 53 57 65 8 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
14712.3111 14708.4185 14706.3642 14702.0860 14692.7450 14670.9340 14722.1510 14717.4567 14715.7855 14714.0410 14712.2616 14710.4008 14706.5345 14704.5225 14702.4413 14700.3072 14698.1171 14695.8606 14693.5555 14691.1823 14688.7633 14686.2715 14683.7293 14681.1319 14678.4646 14675.7507 14672.9719
[13 44 [52 [17 [44 96 57 [15 38 [70 45 [81 [58 27 [2 14 50 0 45 [10 58 [18 [13 26 [47 2 [9
31 . . . 32 . . . 33 . . . 34 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 50 . . . 51 . . . 52 . . . 53 . . . 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . .
32 33 34 35 37 38 39 40 41 42 43 44 45 46 47 48 49 51 52 53 54 7 8 9 10 11 12
14670.1307 14667.2440 14664.2796 14661.2684 14655.0586 14651.8619 14648.6082 14645.2989 14641.9114 14638.4863 14634.9829 14631.4259 14627.8019 14624.1348 14620.3794 14616.5841 14612.7188 14604.8024 14600.7432 14596.6374 14592.4509 14730.5368 14730.0860 14729.5764 14729.0055 14728.3775 14727.6968
[52 43 [45 [6 [10 [30 [19 39 [80 31 [31 [22 [70 65 [70 13 15 22 [50 37 [54 [77 [29 3 [6 [15 22
13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . .
13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
14726.9550 14726.1517 14725.2959 14724.3750 14723.4118 14722.3805 14721.2962 14720.1488 14718.9450 14717.6815 14716.3620 14714.9854 14713.5446 14712.0476 14710.4946 14708.8818 14707.2074 14705.4743 14703.6822 14701.8300 14699.9209 14697.9492 14695.9161 14693.8244 14691.6708 14689.4574 14687.1830
22 [18 [8 [74 15 0 35 18 19 4 14 37 4 [4 18 31 20 14 14 8 32 28 11 10 [5 [12 [22
40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 62 . . . 63 . . . 64 . . . 65 . . . 66 . . .
40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66
14684.8527 14682.4531 14679.9998 14677.4805 14674.9008 14672.2484 14669.5585 14666.7884 14663.9653 14661.0601 14658.1136 14655.0889 14648.8776 14645.6665 14642.3960 14639.0664 14635.6633 14632.1935 14628.6776 14625.0769 14621.4332 14617.7070 14613.9162 14610.0602 14606.1328 14602.1558
19 [22 12 2 5 [10 37 [4 49 [92 [20 [99 21 [21 [19 31 [11 [77 41 [41 98 63 36 13 [66 19
45 46 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
14696.9272 14692.9941 14805.8877 14805.3658 14804.1570 14803.4590 14802.6921 14801.8684 14800.9788 14800.0184 14799.0074 14797.9304 14796.7791 14795.5734 14794.3021 14792.9594 14791.5582 14790.0948 14788.5692 14786.9804 14785.3184 14783.6028 14781.8203 14779.9671 14778.0525 14776.0772 14774.0322 14771.9266 14769.7642 14767.5251
[56 [90 117 [16 [24 [11 [50 [19 [11 [75 [7 39 [22 13 29 [31 [36 [24 5 42 [13 37 59 16 1 20 [13 [10 70 27
36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . . 59 . . . 61 . . . 62 . . . 63 . . . 64 . . . 65 . . . 66 . . .
36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 62 63 64 65 66
14765.2249 14762.8603 14760.4238 14757.9378 14755.3809 14752.7537 14750.0670 14747.3181 14744.4982 14741.6130 14738.6680 14735.6539 14732.5755 14729.4222 14726.2172 14722.9358 14719.5963 14716.1952 14712.7216 14709.1758 14705.5796 14701.8999 14698.1701 14694.3571 14686.5371 14682.5438 14678.4646 14674.3430 14670.1307 14665.8405
19 12 [67 6 18 [24 [12 28 8 [12 22 18 25 [60 [8 [62 [40 26 26 [34 64 [10 79 1 [93 30 [36 146 92 [65
24 25 26 27 32 33 34
14878.9262 14878.2172 14877.4534 14876.6059 14871.3799 14870.1346 14868.8063
37 [15 69 [0 37 97 13
36 . . . 15 . . . 16 . . . 18 . . . 19 . . . 20 . . . 22 . . .
35 16 17 19 20 21 23
14867.4144 14848.9668 14846.7993 14842.2893 14839.9139 14837.4952 14832.4342
[23 [59 [13 7 [11 12 52
a a a a
6 .... 7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . .
5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
14812.6913 14813.3120 14813.8685 14814.3541 14814.7686 14815.1333 14815.4375 14815.6776 14815.8355 14815.9521 14815.8745 14815.7355 14815.5185 14815.2474 14814.8991 14814.4891 14814.0243 14813.4865 14812.8882 14812.2276 14811.4954 14810.6988 14809.8464 14808.9262 14807.9395 14806.8950 14805.7688 14804.5853 14803.3403 14802.0270 14800.6499
[17 22 57 19 [92 [64 [3 57 [68 34 [96 10 [23 46 [17 [53 4 [24 [13 19 [19 [56 [5 17 20 93 [1 [18 [1 [14 [15
40 . . . 41 . . . 43 . . . 48 . . . 49 . . . 50 . . . 51 . . . 53 . . . 54 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 26 . . . 27 . . . 31 . . . 32 . . . 33 . . . 34 . . . 36 . . . 38 . . . 39 . . . 40 . . . 41 . . . 43 . . .
39 40 42 47 48 49 50 52 53 17 18 19 20 21 22 23 24 25 27 28 32 33 34 35 37 39 40 41 42 44
14797.7044 14796.1319 14792.7813 14783.2751 14781.1717 14779.0105 14776.7783 14772.1140 14769.6688 14780.9698 14778.8238 14776.6163 14774.3451 14772.0186 14769.6243 14767.1673 14764.6357 14762.0574 14756.6956 14753.9143 14742.1716 14739.0733 14735.9237 14732.6885 14726.0594 14719.1512 14715.6221 14712.0078 14708.3328 14700.8063
A 3' ÈX 3* 2È1 3 2 32 44 . . . 40 45 . . . [35 7 .... 0 8 .... [32 10 . . . 21 11 . . . 30 12 . . . 44 13 . . . [80 14 . . . 49 15 . . . 2 16 . . . [26 17 . . . [55 18 . . . [2 19 . . . 9 20 . . . 28 21 . . . [64 22 . . . 13 23 . . . 26 24 . . . [19 25 . . . 4 26 . . . [22 27 . . . 78 28 . . . [40 29 . . . 58 30 . . . [75 31 . . . 71 32 . . . 6 33 . . . [23 34 . . . 83 35 . . .
8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 17 . . .
7 8 9 10 11 12 16
14880.4234 14880.8869 14881.2666 14881.5872 14881.8442 14882.0333 14882.0939
[13 38 [66 [77 [42 [1 35
18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . .
17 18 19 20 21 22 23
14881.9322 14881.7056 14881.4197 14881.0515 14880.6182 14880.1245 14879.5557
A 3' ÈX 3* 2È1 4 3 [16 25 . . . [31 26 . . . 44 27 . . . [20 28 . . . [52 33 . . . [3 34 . . . [21 35 . . .
343
TABLE 1ÈContinued J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 29 . . . 30 . . . 32 . . . 33 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . .
24 25 26 27 28 30 31 33 34 37 38 39 40 41 42 43 44
14829.7955 14827.0944 14824.3256 14821.4876 14818.5803 14812.5716 14809.4685 14803.0562 14799.7503 14789.4197 14785.8390 14782.1947 14778.4797 14774.7012 14770.8643 14766.9504 14762.9602
5 8 10 [5 [39 [24 6 27 50 26 [8 [6 [39 [34 58 52 [44
44 . . . 46 . . . 47 . . . 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . .
45 47 48 10 11 12 13 14 15 16 17 18 19 20 21 22 23
14758.9145 14750.6188 14746.3757 14870.5482 14869.7873 14868.9851 14868.0956 14867.1434 14866.1228 14865.0313 14863.8710 14862.6483 14861.3608 14859.9931 14858.5638 14857.0623 14855.4903
[24 [10 52 [26 [137 20 [16 4 20 7 [13 24 94 41 52 22 [34
24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . .
24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
14853.8535 14852.1625 14850.3864 14848.5465 14846.6426 14844.6682 14842.6233 14840.5132 14838.3443 14836.0976 14833.7755 14831.3968 14828.9519 14826.4319 14823.8475 14821.1854 14818.4760
[57 56 [1 [17 6 5 [24 [24 65 56 [28 1 47 22 30 [59 59
41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . . 58 . . .
41 42 43 44 45 46 47 48 49 50 52 53 54 55 56 57 58
14815.6776 14812.8222 14809.9017 14806.8950 14803.8445 14800.7129 14797.5159 14794.2551 14790.9267 14787.5252 14780.5094 14776.9119 14773.2328 14769.4895 14765.6814 14761.7999 14757.8626
[35 [20 24 [11 [12 [40 [42 [2 43 37 [58 21 [33 [48 [27 [56 40
37 39 41 42 43 46
13705.0300 13700.9990 13696.7530 13694.5530 13692.2910 13685.1850
a a a a a a
107 20 [24 11 [20 24
51 . . . 59 . . . 62 . . . 63 . . . 64 . . .
51 59 62 63 64
13672.2050 13648.4800 13638.6100 13635.1910 13631.7470
a a a a a
[28 61 [29 [16 35
a a a a a a a a a a a
[7 31 85 [24 [1 82 [10 [10 10 155 [76
a a a a a a a
[17 61 [42 [15 [17 15 24 3 12 11 [26 [42 26 4 [10 [13 36 12 [40 [45 [25 86 40 84 [58 [85 12
16 . . . 17 . . . 18 . . . 19 . . . 23 . . . 24 . . .
16 17 18 19 23 24
13734.3260 13733.4660 13732.5340 13731.5740 13727.1470 13725.9040
a a a a a a
12 114 14 153 48 [33
25 . . . 27 . . . 29 . . . 32 . . . 33 . . . 36 . . .
25 27 29 32 33 36
13724.6160 13721.8870 13718.9460 13714.1130 13712.3950 13706.9430
a a a a a a
A 3' ÈX 3* 2È2 2 1 [38 37 . . . 4 39 . . . 45 41 . . . [112 42 . . . [162 43 . . . [56 46 . . .
35 . . . 40 . . . 41 . . . 53 . . . 61 . . . 26 . . . 27 . . . 41 . . . 46 . . . 47 . . . 49 . . . 55 . . .
34 39 40 52 60 27 28 42 47 48 50 56
13817.3550 13811.6100 13810.2570 13789.7010 13771.1730 13768.1310 13765.5180 13723.0170 13705.0300 13701.2960 13693.5720 13669.0640
a a a a a a a a a a a a
[5 36 [221 55 330 21 [59 204 [248 46 [171 [83
58 . . . 62 . . . 63 . . . 22 . . . 25 . . . 26 . . . 30 . . . 35 . . . 37 . . . 39 . . . 40 . . . 41 . . .
59 63 64 22 25 26 30 35 37 39 40 41
13656.0050 13637.7770 13633.0720 13802.2400 13798.0970 13796.5820 13790.0190 13780.5060 13776.2940 13771.8420 13769.5330 13767.1580
a a a a a a a a a a a a
A 3' ÈX 3* 2È2 3 2 [118 43 . . . [1 46 . . . 41 47 . . . 94 50 . . . 102 51 . . . [78 53 . . . [34 54 . . . 3 56 . . . 30 57 . . . [4 59 . . . 28 61 . . . [13 63 . . .
43 46 47 50 51 53 54 56 57 59 61 63
13762.2440 13754.4330 13751.6930 13743.1690 13740.2120 13734.1170 13730.9620 13724.5050 13721.1880 13714.3590 13707.2970 13699.9990
a a a a a a a a a a a a
27 105 [51 [2 46 119 [23 19 55 [16 [1 79
65 . . . 68 . . . 69 . . . 70 . . . 74 . . . 75 . . . 77 . . . 78 . . . 80 . . . 81 . . . 82 . . .
65 68 69 70 74 75 77 78 80 81 82
13692.4410 13680.6620 13676.6170 13672.4940 13655.4290 13651.0150 13641.9640 13637.3540 13627.9560 13623.1710 13618.2850
A 3' ÈX 3* 2È3 2 1 161 39 . . . 152 40 . . . [50 43 . . . [130 44 . . . [15 45 . . . 27 11 . . . [76 12 . . . [29 13 . . . [11 14 . . . 22 15 . . . 30 16 . . . 1 17 . . . [34 18 . . . [55 19 . . . 37 20 . . . 15 21 . . . 17 22 . . . 63 23 . . . 74 24 . . . [18 25 . . . [47 26 . . . 22 27 . . . [26 28 . . . [2 29 . . . 4 30 . . . 18 31 . . . 20 32 . . .
40 41 44 45 46 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
12682.6071 12679.7363 12670.8070 a 12667.7200 a 12664.6080 a 12756.6041 12756.0592 12755.4778 12754.8488 12754.1740 12753.4536 12752.6822 12751.8695 12751.0067 12750.1046 12749.1567 12748.1533 12747.1106 12746.0203 12744.8864 12743.6973 12742.4773 12741.1918 12739.8701 12738.4933 12737.0811 12735.6154
[1 89 101 [27 86 [18 [63 [20 0 19 36 [1 8 [27 6 40 [19 [8 [11 17 [42 57 [28 [7 [64 [2 [1
33 . . . 34 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 65 . . .
33 34 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52 53 54 55 57 58 59 60 61 65
12734.1005 12732.5472 12729.2708 12727.5682 12725.8143 12724.0153 12722.1654 12720.2635 12718.3157 12716.3177 12714.2666 12712.1682 12710.0284 12707.8297 12703.2850 12700.9373 12698.5444 12696.0933 12693.5885 12691.0372 12688.4370 12683.0890 12680.3270 12677.5220 12674.6460 12671.7290 12659.5530
6 .... 7 .... 9 .... 10 . . . 12 . . . 13 . . . 14 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 34 . . . 35 . . . 36 . . . 37 . . . 42 . . . 44 . . .
5 6 8 9 11 12 13 15 16 17 18 19 20 21 24 25 26 27 28 29 30 31 33 34 35 36 41 43
12764.8620 12765.5750 12766.8942 12767.4743 12768.5188 12768.9664 12769.3724 12770.0488 12770.3265 12770.5422 12770.7138 12770.8512 12770.9330 12770.9663 12770.8048 12770.6596 12770.4673 12770.2196 12769.9266 12769.5896 12769.2038 12768.7734 12767.7579 12767.1857 12766.5579 12765.8851 12761.7760 a 12759.7990 a
44 [57 25 [50 0 [38 [38 [24 64 [8 [60 6 [21 [70 [33 2 35 [13 [41 [34 [40 [13 [66 [13 [32 [16 [26 101
48 . . . 49 . . . 53 . . . 57 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 37 . . .
47 48 52 56 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38
12755.2230 12753.9500 12748.3290 12741.8910 12742.5736 12740.9550 12739.2767 12737.5681 12735.8111 12734.0102 12728.3247 12726.3349 12724.2985 12722.2175 12720.1017 12717.9283 12715.7110 12713.4515 12711.1420 12708.7756 12706.3685 12703.9245 12701.4215 12698.8785 12696.2864 12693.6476 12688.2243
a a a a a
a
344
TABLE 1ÈContinued J@
4 .... 5 .... 6 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 19 . . . 22 . . . 25 . . . 26 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . .
9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 32 . . . 33 . . .
J@@
3 4 5 7 8 9 10 11 12 13 14 15 16 18 21 24 25 27 28 29 30 31 32 33 34 35 39 40 41 42 43 44 45 46 47 48
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32
Observed
12838.7582 12839.5495 12840.2928 12841.6209 12842.1951 12842.7521 12843.2264 12843.6680 12844.0405 12844.3718 12844.6484 12844.8787 12845.0539 12845.2547 12845.1654 12844.5937 12844.3033 12843.5609 12843.1101 12842.6167 12842.0627 12841.4611 12840.7945 12840.0913 12839.3260 12838.5106 12834.7121 12833.6326 12832.5087 12831.3230 a 12830.0820 a 12828.7843 12827.4380 12826.0375 12824.5900 12823.0824
12908.7481 12909.2499 12909.6946 12910.0852 12910.4198 12910.7002 12910.9147 12911.0894 12911.2018 12911.2575 12911.2575 12911.2018 12911.0894 12910.9147 12910.7002 12910.4198 12910.0852 12909.6946 12909.2499 12908.7505 12908.1922 12907.5724 12906.1757 12905.3993
O[C
29 9 21 4 [132 74 [32 51 [43 [32 [53 [21 [22 29 88 [5 6 [23 [51 19 5 39 [52 17 [9 [10 [100 [97 [7 [3 [18 [68 [68 [74 [14 [17
98 86 61 54 42 48 [47 18 18 9 1 [5 [21 [101 [20 [40 [43 [48 [36 [11 [16 [79 [96 [46
J@
50 . . . 56 . . . 58 . . . 62 . . . 63 . . . 64 . . . 65 . . . 66 . . . 67 . . . 69 . . . 71 . . . 72 . . . 76 . . . 79 . . . 81 . . . 83 . . . 11 . . . 13 . . . 15 . . . 18 . . . 19 . . . 21 . . . 22 . . . 23 . . . 25 . . . 26 . . . 27 . . . 28 . . . 30 . . . 31 . . . 36 . . . 39 . . . 41 . . . 45 . . . 48 . . . 51 . . .
34 . . . 35 . . . 36 . . . 37 . . . 39 . . . 40 . . . 42 . . . 43 . . . 44 . . . 45 . . . 47 . . . 48 . . . 49 . . . 51 . . . 6 .... 7 .... 9 .... 10 . . . 11 . . . 13 . . . 17 . . . 18 . . . 19 . . .
J@@
49 55 57 61 62 63 64 65 66 68 70 71 75 78 80 82 12 14 16 19 20 22 23 24 26 27 28 29 31 32 37 40 42 46 49 52
33 34 35 36 38 39 41 42 43 44 46 47 48 50 7 8 10 11 12 14 18 19 20
O[C
Observed
12821.5200 12811.0170 12807.0920 12798.5430 12796.2860 12793.9520 12791.5740 12789.1230 12786.6370 12781.4820 12776.0960 12773.3380 12761.6520 12752.2940 12745.7710 12739.0170 12819.1041 12815.7157 12812.1325 12806.3710 12804.3537 12800.1517 12797.9721 12795.7527 12791.1370 12788.7564 12786.3302 12783.8367 12778.7261 12776.0792 12762.1410 12753.1420 12746.8600 12733.7580 12723.3570 12712.4760
12904.5676 12903.6789 12902.7168 12901.7197 12899.5493 12898.3715 12895.8587 12894.5194 12893.1159 12891.6622 12888.5864 12886.9714 12885.2886 12881.7628 12893.1159 12891.6622 12888.5995 12886.9779 12885.3094 12881.8133 12874.1413 12872.0717 12869.9657
a a a a a a a a a a a a a a a a
a
a a a a a a
J@@
Observed
A 3' ÈX 2* 2È3 3 3 [31 52 . . . [24 54 . . . 95 57 . . . [64 60 . . . 79 61 . . . 6 63 . . . 50 5 . . . . [78 6 . . . . 2 7 .... 15 8 . . . . [30 9 . . . . 145 11 . . . [2 12 . . . [30 13 . . . [2 14 . . . 43 15 . . . 120 16 . . . 27 17 . . . 32 18 . . . 10 19 . . . 59 20 . . . 16 21 . . . [23 22 . . . 53 23 . . . [28 24 . . . [26 25 . . . 32 26 . . . [68 27 . . . 34 28 . . . [59 29 . . . 161 30 . . . 126 31 . . . [136 32 . . . 191 33 . . . 160 34 . . . 38 35 . . .
53 55 58 61 62 64 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
12708.7690 12701.1350 12689.3150 12677.0130 12672.8150 12664.2400 12834.3014 12833.9957 12833.6326 12833.2237 12832.7614 12831.6821 12831.0732 12830.4043 12829.6855 12828.9112 12828.0948 12827.2260 12826.3004 12825.3200 12824.2959 12823.2131 12822.0874 12820.9084 12819.6696 12818.3871 12817.0469 12815.6635 12814.2181 12812.7304 12811.1947 12809.5931 12807.9522 12806.2408 12804.5050 12802.6924
A 3' ÈX 3* 2È3 4 3 8 20 . . . 54 36 . . . [77 46 . . . 3 12 . . . 80 13 . . . 34 14 . . . 48 15 . . . 68 16 . . . 6 17 . . . 4 18 . . . 0 19 . . . 70 20 . . . 25 21 . . . 23 22 . . . [6 23 . . . [54 24 . . . [40 25 . . . [104 26 . . . [84 27 . . . 27 28 . . . 82 29 . . . [40 30 . . . 26 31 . . .
21 37 47 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
12867.7951 12825.6450 a 12792.1550 a 12897.3663 12896.6489 12895.8587 12895.0295 12894.1369 12893.1966 12892.1907 12891.1384 12890.0307 12888.8615 12887.6350 12886.3578 12885.0257 12883.6404 12882.1950 12880.6954 12879.1364 12877.5300 12875.8626 12874.1413
345
J@
a a a a a a
O[C
J@
J@@
Observed
O[C
247 44 8 [75 [12 [71 15 33 [10 3 [6 [31 34 12 5 [43 2 37 19 [32 [6 [52 [10 14 [44 [23 [62 [15 [71 [32 46 [17 47 [74 81 [12
36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 53 . . . 55 . . . 57 . . . 58 . . . 59 . . . 60 . . . 61 . . . 64 . . . 65 . . . 66 . . . 67 . . . 68 . . . 69 . . . 70 . . . 71 . . . 72 . . . 73 . . . 75 . . . 76 . . .
36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 55 57 58 59 60 61 64 65 66 67 68 69 70 71 72 73 75 76
12800.8345 12798.9316 12796.9645 12794.9510 12792.8909 12790.7742 12788.5988 12786.3803 12784.1130 12781.7850 12779.4030 12776.9730 12774.4840 12771.9420 12769.3590 12766.7050 12761.2540 12755.5900 12749.7100 12746.6880 12743.6220 12740.4850 12737.3020 12727.4300 12724.0230 12720.5700 12717.0560 12713.4850 12709.8670 12706.1990 12702.4650 12698.6800 12694.8380 12686.9810 12682.9710
a a a a a a a a a a a a a a a a a a a a a a a a a a a
[35 13 [58 [70 [25 [21 [79 [42 34 30 13 46 18 [9 85 1 3 14 13 0 87 5 5 39 [21 6 [28 [81 [53 29 4 25 32 [7 [0
[4 40 [243 12 67 [51 [3 [33 14 [39 [2 37 15 [26 [18 [6 28 17 16 [25 14 [3 [6
32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 63 . . .
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52 53 54 63
12872.3652 12870.5335 12868.6480 12866.7065 12864.7132 12862.6552 12860.5479 12858.3749 12856.1617 12853.8840 12851.5546 12849.1705 12846.7274 12844.2432 12841.6836 12839.0798 12833.7017 12830.9303 12828.0948 12825.2105 12822.2753 12819.2797 12789.8350 a
[3 [3 12 21 65 16 26 [67 [9 [42 [39 [30 [57 59 [26 3 16 30 [41 [45 [2 [8 177
TABLE 1ÈContinued J@
8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 22 . . . 23 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . .
18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 29 . . . 31 . . . 33 . . . 12 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . .
21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . .
J@@
7 8 9 10 11 12 13 14 15 16 21 22 24 25 26 27 28 29 30 33 34 35 36 37 38 39 40 41
17 18 19 20 21 22 23 24 25 28 30 32 13 16 17 18 19 20 21 22
21 22 23 24 25 26 27 28 29 30 31 32 33 34
Observed
14592.0244 14592.5561 14593.0310 14593.4394 14593.7959 14594.0968 14594.3308 14594.5144 14594.6331 14594.6993 14594.1423 14593.8524 14593.1055 14592.6364 14592.1096 14591.5328 14590.8807 14590.1814 14589.4158 14586.7595 14585.7595 14584.6895 14583.5654 14582.3796 14581.1249 14579.8119 14578.4389 14576.9893
14669.0295 14668.8649 14668.6469 14668.3566 14667.9971 14667.5856 14667.0966 14666.5533 14665.9353 14663.6988 14661.9027 14659.8221 14642.2520 14636.4088 14634.3297 14632.1971 14629.9924 14627.7270 14625.3880 14623.0013
14711.4877 14709.9827 14708.4185 14706.7816 14705.0846 14703.3076 14701.4633 14699.5642 14697.5662 14695.5400 14693.4185 14691.2311 14688.9820 14686.6594
O[C
[50 [9 41 2 22 64 16 46 6 24 6 [19 31 [10 [35 38 [45 [0 [17 [40 22 [9 32 69 32 29 45 [84
7 [28 48 44 [6 69 14 64 13 [79 55 [55 [46 [17 [46 28 19 40 [37 48
[203 [224 [154 [131 [26 [39 [44 85 [94 127 76 47 83 65
J@
43 . . . 44 . . . 45 . . . 13 . . . 14 . . . 15 . . . 17 . . . 18 . . . 20 . . . 21 . . . 22 . . . 23 . . . 25 . . . 26 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . .
22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 39 . . . 40 . . . 41 . . . 42 . . .
35 . . . 36 . . . 37 . . . 38 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . .
J@@
42 43 44 14 15 16 18 19 21 22 23 24 26 27 32 33 34 35 36 37 38 39 40 41 42 43 44 45
23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 41 42 43
35 36 37 38 40 41 42 43 44 46 47 48 49 50
Observed
O[C
J@
14575.4936 14573.9408 14572.3092 14565.9099 14564.0609 14562.1543 14558.1728 14556.0976 14551.7658 14549.5030 14547.1987 14544.8193 14539.9199 14537.3626 14523.7454 14520.8517 14517.8938 14514.8734 14511.7863 14508.6420 14505.4367 14502.1786 14498.8597 14495.4711 14492.0329 14488.5244 14484.9638 14481.3292
A 3' ÈX 3* 3È2 2 1 [52 45 . . . 35 4 .... [40 5 .... 0 6 .... [17 7 .... [32 8 .... [11 9 .... 24 10 . . . 23 11 . . . [74 12 . . . [2 13 . . . [97 14 . . . 66 15 . . . [47 16 . . . [57 17 . . . 21 18 . . . 53 19 . . . 60 20 . . . [1 21 . . . [32 22 . . . [70 23 . . . [30 24 . . . 6 25 . . . [46 26 . . . 16 27 . . . [14 28 . . . 48 29 . . . [16
14620.5381 14618.0201 14615.4313 14612.7703 14610.0616 14607.2837 14604.4408 14601.5358 14598.5672 14595.5294 14592.4367 14589.2675 14586.0390 14582.7514 14579.3930 14575.9769 14568.9469 14565.3243 14561.6584 14557.9058
A 3' ÈX 3* 3È2 3 2 6 10 . . . 54 11 . . . 53 13 . . . [71 14 . . . [13 15 . . . [8 16 . . . [12 17 . . . 2 18 . . . 20 19 . . . [13 20 . . . 46 21 . . . [18 22 . . . [34 23 . . . 2 24 . . . [28 25 . . . 8 26 . . . 35 27 . . . [61 28 . . . 55 29 . . . [50 30 . . .
14684.2693 14681.8099 14679.2830 14676.6898 14671.2960 14668.5047 14665.6350 14662.6995 14659.7001 14653.4959 14650.2856 14647.0042 14643.6661 14640.2398
A 3' ÈX 3* 3È2 4 3 52 51 . . . 29 52 . . . 12 53 . . . 13 55 . . . [14 56 . . . 50 57 . . . 12 58 . . . [3 59 . . . 26 22 . . . 76 23 . . . 43 24 . . . [19 25 . . . 36 26 . . . [108
346
J@@
Observed
O[C
J@
J@@
Observed
O[C
46 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
14477.6379 14585.1779 14584.8830 14584.5375 14584.1268 14583.6792 14583.1638 14582.5856 14581.9612 14581.2635 14580.5194 14579.7154 14578.8591 14577.9348 14576.9554 14575.9186 14574.8281 14573.6736 14572.4649 14571.1917 14569.8626 14568.4751 14567.0298 14565.5196 14563.9579 14562.3326 14560.6480
[31 98 14 [3 [98 12 19 [28 40 [48 [23 [19 40 [1 [12 [16 25 10 38 7 4 4 16 [30 1 [11 [21
30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . . 57 . . .
30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 51 52 53 54 55 56 57
14558.9048 14557.1046 14555.2395 14553.3154 14551.3316 14549.2911 14547.1870 14545.0188 14542.7895 14540.5058 14538.1546 14535.7478 14533.2776 14530.7480 14528.1518 14525.4885 14522.7714 14519.9955 14517.1422 14508.2303 14505.1396 14501.9745 14498.7534 14495.4710 14492.1126 14488.6975
[19 10 [12 [22 [26 6 8 [24 [57 [24 [53 [24 [12 23 12 [49 [24 38 [48 [40 28 [11 30 98 47 75
10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
14657.4470 14656.7438 14655.1513 14654.2547 14653.2988 14652.2752 14651.1879 14650.0305 14648.8233 14647.5445 14646.1997 14644.7933 14643.3269 14641.7877 14640.1885 14638.5175 14636.7940 14634.9979 14633.1450 14631.2237
[5 [12 32 9 33 21 11 [58 14 12 [9 [4 43 5 9 [63 [15 [50 [8 [6
31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 44 . . . 45 . . . 46 . . . 48 . . . 49 . . . 50 . . .
31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 49 50
14629.2371 14627.1856 14625.0769 14622.8877 14620.6463 14618.3325 14615.9638 14613.5162 14611.0208 14608.4487 14605.8141 14603.1176 14600.3482 14597.5293 14594.6331 14591.6667 14585.5464 14582.3796 14579.1515
[10 [19 47 [44 [11 [53 5 [77 12 [15 [15 19 [24 91 88 38 34 [48 [84
51 52 53 55 56 57 58 59 21 22 23 24 25
14636.7605 14633.2199 14629.6008 14622.1630 14618.3325 14614.4480 14610.4778 14606.4552 14733.4127 14732.9065 14732.3384 14731.6933 14730.9790
[99 [18 [38 [20 [98 [30 [132 [71 [181 [148 [48 [32 [22
27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 40 . . . 42 . . .
26 27 28 29 30 33 34 35 36 37 39 41
14730.1991 14729.3510 14728.4284 14727.4467 14726.3809 14722.7949 14721.4590 14720.0556 14718.5794 14717.0478 14713.7645 14710.1953
19 64 50 133 61 80 55 43 [10 71 96 16
TABLE 1ÈContinued J@
8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . .
J@@
8 9 10 11 12 13 14 15 16 17 18 19 20 21
Observed
12629.9283 12629.5193 12629.0653 12628.5681 12628.0174 12627.4332 12626.7935 12626.1178 12625.3900 12624.6206 12623.7880 12622.9357 12622.0202 12621.0685
O[C
21 6 [4 8 [59 [5 [49 5 [2 32 [104 23 [19 39
J@
22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . .
J@@
22 23 24 25 26 27 28 29 30 31 32 33 34 35
J@@
Observed
O[C
J@
J@@
Observed
O[C
12620.0595 12619.0097 12617.9124 12616.7719 12615.5779 12614.3354 12613.0535 12611.7237 12610.3441 12608.9187 12607.4442 12605.9285 12604.3537 12602.7290
A 3' ÈX 3* 3È4 2 1 [11 36 . . . [3 37 . . . [4 38 . . . 31 40 . . . [1 41 . . . [48 42 . . . [17 43 . . . 8 12 . . . 9 13 . . . 28 14 . . . 32 15 . . . 102 16 . . . 61 17 . . . 3 18 . . .
36 37 38 40 41 42 43 11 12 13 14 15 16 17
12601.0605 12599.3477 12597.5873 12593.9176 12591.9989 12590.0376 12588.0226 12640.4024 12640.8489 12641.2378 12641.6000 12641.9024 12642.1621 12642.3725
[10 18 55 106 29 17 [37 [15 35 [33 92 78 99 89
19 . . . 20 . . . 21 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . .
18 19 20 22 23 24 25 26 27 28 29 30 31
12642.5336 12642.6480 12642.7300 12642.7300 12642.6480 12642.5336 12642.3725 12642.1621 12641.9024 12641.6000 12641.2431 12640.8489 12640.4024
48 6 103 60 [77 [70 [56 [64 [90 [67 [11 [50 [32
50 51 52 10 11 12 13 14 15 16 17 18 19 20 21 22 23
12640.7776 12638.1232 12635.3985 12714.8383 12715.2616 12715.6302 12715.9571 12716.2293 12716.4447 12716.6130 12716.7219 12716.7862 12716.7862 12716.7392 12716.6563 12716.5103 12716.3160
51 64 [92 4 [8 [49 10 41 22 50 5 32 [63 [108 10 17 63
25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . .
24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
12716.0586 12715.7566 12715.4002 12715.0041 12714.5227 12714.0104 12713.4522 12712.8334 12712.1676 12711.4424 12710.6677 12709.8335 12708.9549 12708.0143 12707.0267 12705.9896
0 14 8 127 [81 [74 [1 [7 43 26 43 [7 28 [27 [21 21
Observed
O[C
J@
7 .... 8 .... 9 .... 10 . . . 11 . . . 12 . . . 13 . . . 14 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . .
7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24
12705.3244 12704.8964 12704.4475 12703.9245 12703.3660 12702.7414 12702.0731 12701.3524 12699.7528 12698.8785 12697.9523 12696.9736 12695.9371 12694.8528 12693.7306 12692.5392 12691.3085
59 [102 44 [37 43 [22 [9 [3 [27 [9 7 14 [39 [53 71 21 96
25 . . . 27 . . . 28 . . . 29 . . . 32 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 43 . . . 47 . . . 48 . . . 49 . . .
25 27 28 29 32 34 35 36 37 38 39 40 41 43 47 48 49
12690.0051 12687.2758 12685.8262 12684.3251 12670.5236 12676.0579 12674.2482 12672.3817 12670.4734 12668.4948 12666.4745 12664.4055 12662.2786 12657.8797 12648.4176 12645.9228 12643.3630
A 3' ÈX 3* 3È4 3 2 [37 50 . . . 29 51 . . . [9 52 . . . [41 11 . . . 4 12 . . . [5 13 . . . 6 14 . . . [28 15 . . . 44 16 . . . [64 17 . . . [62 18 . . . [22 19 . . . [35 20 . . . 69 21 . . . [21 22 . . . [12 23 . . . [118 24 . . .
21 . . . 22 . . . 23 . . . 24 . . .
21 22 23 24
12760.1969 12758.9789 12757.7038 12756.3730
[193 [124 [71 [19
26 . . . 27 . . . 28 . . . 29 . . .
26 27 28 29
12753.5306 12752.0420 12750.4806 12748.8603
A 3' ÈX 3* 3È4 4 3 [58 30 . . . 80 31 . . . 47 32 . . . [22 34 . . .
30 31 32 34
12747.1955 12745.4782 12743.6973 12739.9631
20 92 82 2
35 . . . 36 . . . 37 . . . 38 . . .
35 36 37 38
12738.0196 12736.0167 12733.9542 12731.8440
30 18 [35 [11
14415.1073 14411.0031 14408.8583 14406.6604 14404.4170 14402.1006 14399.7322 14397.3013 14394.8054 14392.2532 14389.6472 14386.9916 14384.2571 14381.4738 14375.7110 14369.7268 14366.6306 14363.4862 14360.2771 14438.5228 14438.0061 14437.4301
A 3' ÈX 3* 4È3 2 1 26 11 . . . [13 12 . . . [84 13 . . . [100 14 . . . 14 15 . . . [14 16 . . . 25 17 . . . 28 18 . . . [29 19 . . . [58 20 . . . [31 22 . . . 92 23 . . . 23 24 . . . 61 25 . . . [31 26 . . . 66 27 . . . [22 28 . . . 12 29 . . . 6 30 . . . [3 31 . . . 25 32 . . . 39 33 . . .
11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33
14436.7914 14436.1042 14435.3403 14434.5430 14433.6549 14432.7408 14431.7694 14430.7167 14429.6111 14428.4523 14425.9595 14424.6188 14423.2215 14421.7662 14420.2508 14418.6767 14417.0488 14415.3426 14413.5914 14411.7801 14409.9044 14407.9699
5 66 [58 65 [138 [17 115 18 [21 [5 41 5 [4 [0 [4 1 65 [56 [27 2 [11 [7
34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 43 . . . 44 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 57 . . . 59 . . .
34 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 57 59
14405.9759 14403.9211 14401.8024 14399.6176 14397.3830 14395.0806 14392.7281 14390.2968 14385.2617 14382.6571 14379.9829 14377.2504 14374.4449 14371.5947 14368.6604 14365.6716 14362.6239 14359.5045 14356.3214 14353.0890 14342.9726 14335.8878
7 21 4 [63 [16 [32 65 [8 [20 36 20 48 [26 83 [17 [29 6 [39 [81 24 18 [14
18 . . . 19 . . . 21 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 32 . . . 33 . . . 34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 11 . . . 13 . . . 14 . . . 15 . . .
17 18 20 22 23 24 25 26 27 28 29 31 32 33 34 35 36 37 12 14 15 16
14449.3907 14449.3349 14449.0035 14448.4632 14448.1118 14447.6946 14447.2072 14446.6693 14446.0698 14445.4045 14444.6872 14443.0605 14442.1664 14441.1899 14440.1680 14439.0886 14437.9430 14436.7292 14424.3390 14420.8248 14418.9699 14417.0614
16 112 [124 [84 14 50 [19 4 12 [37 [3 [41 43 [87 [60 4 21 [26 13 62 [22 [61
16 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 32 . . . 34 . . . 35 . . . 36 . . . 37 . . . 8 .... 9 .... 10 . . .
17 19 20 21 22 23 24 25 26 27 28 29 30 31 33 35 36 37 38 8 9 10
347
348
RAM ET AL. TABLE 1ÈContinued
J@
J@@
Observed
O[C
J@
J@@
Observed
O[C
J@
18 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 26 . . . 27 . . . 28 . . . 30 . . . 31 . . . 32 . . . 33 . . . 35 . . . 37 . . . 38 . . . 39 . . . 40 . . . 12 . . . 13 . . . 14 . . .
17 19 20 21 22 23 25 26 27 29 30 31 32 34 36 37 38 39 13 14 15
14523.4374 14523.0302 14522.7357 14522.3654 14521.9279 14521.4330 14520.2451 14519.5455 14518.7908 14517.0950 14516.1269 14515.1209 14514.0304 14511.6741 14509.0557 14507.6267 14506.1523 14504.6129 14496.8971 14495.0064 14493.0617
[53 [19 60 28 [27 [7 [1 [78 [56 79 [76 43 [29 40 112 [63 [34 5 77 [4 16
15 . . . 16 . . . 17 . . . 18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 25 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 36 . . . 37 . . . 39 . . . 8 .... 9 ....
16 17 18 19 20 21 22 23 24 25 26 29 30 31 32 33 37 38 40 8 9
14491.0507 14488.9639 14486.8350 14484.6292 14482.3681 14480.0334 14477.6392 14475.1767 14472.6558 14470.0742 14467.4114 14459.0786 14456.1614 14453.1997 14450.1568 14447.0500 14434.0013 14430.5870 14423.5353 14513.2237 14512.6465
A 3' ÈX 3* 4È3 3 2 13 10 . . . [107 13 . . . [8 14 . . . [37 15 . . . 22 16 . . . [14 17 . . . [4 19 . . . [36 20 . . . [11 21 . . . 49 22 . . . [61 23 . . . 18 24 . . . [66 25 . . . 48 26 . . . [6 27 . . . [56 28 . . . [22 29 . . . 79 30 . . . [9 31 . . . [21 32 . . . [19 33 . . .
18 . . . 19 . . . 20 . . . 21 . . . 22 . . . 23 . . . 24 . . . 26 . . . 27 . . . 28 . . . 29 . . . 30 . . . 31 . . . 32 . . . 34 . . . 36 . . . 38 . . . 39 . . .
17 18 19 20 21 22 23 25 26 27 28 29 30 31 33 35 37 38
14588.9770 14588.7204 14588.4087 14588.0206 14587.5683 14587.0468 14586.4612 14585.0699 14584.2712 14583.3997 14582.4658 14581.4661 14580.3902 14579.2553 14576.7621 14573.9951 14570.9457 14569.3223
94 [8 27 [13 [7 [4 47 15 2 [51 [38 7 [21 50 28 28 [35 [18
23 . . . 25 . . . 26 . . . 30 . . . 34 . . . 35 . . . 36 . . . 38 . . . 39 . . . 40 . . . 42 . . . 43 . . . 44 . . . 9 .... 11 . . . 12 . . . 13 . . . 14 . . .
24 26 27 31 35 36 37 39 40 41 43 44 45 9 11 12 13 14
14537.3054 14531.8442 14528.9958 14516.9819 14503.8696 14500.4355 14496.8993 14489.6691 14485.9651 14482.1721 14474.3979 14470.4095 14466.3534 14578.5549 14577.1049 14576.2873 14575.3992 14574.4326
A 3' ÈX 3* 4È3 4 3 [16 16 . . . 54 17 . . . [70 18 . . . 26 19 . . . [6 20 . . . 121 21 . . . [96 22 . . . [75 23 . . . 62 24 . . . [13 25 . . . [15 26 . . . [13 27 . . . [11 28 . . . 48 29 . . . [42 30 . . . 16 31 . . . 55 32 . . . [5 33 . . .
J@@
Observed
O[C
J@
J@@
Observed
O[C
10 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
14512.0076 14509.6957 14508.7925 14507.8364 14506.8122 14505.7183 14503.3384 14502.0546 14500.7007 14499.2972 14497.8114 14496.2731 14494.6621 14492.9981 14491.2596 14489.4538 14487.5915 14485.6703 14483.6688 14481.6067 14479.4826
7 [12 [58 8 37 12 [28 [21 [71 28 [50 [10 [50 26 4 [46 [12 80 17 [2 7
34 . . . 35 . . . 36 . . . 37 . . . 38 . . . 39 . . . 40 . . . 41 . . . 42 . . . 43 . . . 45 . . . 46 . . . 47 . . . 48 . . . 49 . . . 50 . . . 51 . . . 53 . . . 54 . . . 55 . . . 56 . . .
34 35 36 37 38 39 40 41 42 43 45 46 47 48 49 50 51 53 54 55 56
14477.2948 14475.0340 14472.7190 14470.3346 14467.8819 14465.3650 14462.7840 14460.1409 14457.4286 14454.6479 14448.9001 14445.9212 14442.8894 14439.7700 14436.6038 14433.3646 14430.0532 14423.2436 14419.7531 14416.1718 14412.5365
30 [28 25 33 12 1 4 38 37 7 53 13 102 [23 43 40 [21 [20 122 22 49
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
14572.3092 14571.1359 14569.9044 14568.6053 14567.2409 14565.7913 14564.2850 14562.7049 14561.0606 14559.3400 14557.5613 14555.7126 14553.8004 14551.7952 14549.7491 14547.6201 14545.4275 14543.1708
28 [44 [11 31 103 9 33 4 16 [49 [10 12 84 [90 11 [34 [30 16
35 . . . 36 . . . 38 . . . 40 . . . 41 . . . 43 . . . 44 . . . 45 . . . 46 . . . 48 . . . 49 . . . 50 . . . 51 . . . 52 . . . 53 . . . 54 . . . 55 . . . 56 . . .
35 36 38 40 41 43 44 45 46 48 49 50 51 52 53 54 55 56
14538.4491 14535.9726 14530.8359 14525.4320 14522.6187 14516.7907 14513.7784 14510.6972 14507.5470 14501.0426 14497.6841 14494.2546 14490.7600 14487.1936 14483.5760 14479.8619 14476.0963 14472.2629
79 [20 [3 78 31 [23 [7 6 13 44 26 [18 [26 [65 72 [70 [38 3
NOTEÈ““ a ÏÏ marks lines from sunspot measurements, and O[C are observed minus calculated line positions in units of 10~4 cm~1.
two spectra, although the TiO in the sunspot is much hotter (D3000 K). A number of additional high J rotational lines were identiÐed in the solar spectrum as compared to the laboratory spectrum, using predictions based on the spectroscopic constants derived from the laboratory data. Rotational lines with J values up to 110 could be identiÐed in the sunspot spectrum. The sunspot TiO measurements were shifted to the same wavenumber scale as the laboratory data. The more extensive, but lower quality, sunspot lines were then combined with the laboratory data in order to obtain improved molecular constants. Three Ðts were obtained using the combined data. In the Ðrst Ðt the three subbands were Ðtted separately using a simple empirical energy-level expression F(J) \ T ] B J(J ] 1) [ D [J(J ] 1)]2 v v v ] H [J(J ] 1)]3 ] L [J(J ] 1)]4 , v v in order to extract separate e†ective rotational constants for the di†erent vibrational levels of the individual spin components. In these Ðts the weak and blended rotational lines
were weighted on the basis of the signal-to-noise ratio and on the extent of blending. The solar measurements were given slightly lower weights ranging from 0.005 to 0.015 cm~1. In this Ðt the line positions of Barnes et al. (1996) and pure rotational transition frequencies of Steimle et al. (1990) and Namiki et al. (1998) were also included. The lines of Barnes et al. (1996) were adjusted to our wavenumber scale by subtraction of 0.0037 cm~1. In this Ðt the ground-state spin-orbit intervals between the 3* , 3* , and 3* spin 2 obtained 3 by components was constrained to the1 values Amiot et al. (1995) by using their published term values. Our spectra do not contain any satellite branches so that we are unable to determine the spin-orbit splittings. The wavenumbers of the observed transitions are provided in Table 1. For those lines which are common to both laboratory and sunspot spectra, only the laboratory measurements are provided. The constants obtained from the individual subband Ðts are presented in Table 2. The combination of low-temperature hollow cathode data and hightemperature solar data has resulted in improved molecule constants.
TABLE 2 ROTATIONAL CONSTANTS (in cm~1) FOR THE X 3* AND A 3' STATES OF TiO FROM THE EMPIRICAL SUBBAND FITS State
v\0
Constantsa
v\1
X 3* . . . . . . 1 ............. ............. ............. ............. X 3* . . . . . . 2 ............. ............. ............. ............. X 3* . . . . . . 3 ............. ............. ............. ............. A 3' . . . . . . 2 ............. ............. ............. A 3' . . . . . . 3 ............. ............. ............. ............. A 3' . . . . . . 4 ............. ............. ............. .............
T 0.0 1000.019711(682) v B 0.5279770748(998) 0.52502156(120) v D ] 107 4.00004(508) 4.20042(660) v H ] 1012 [9.5802(988) [6.2559(805) v L ] 1016 2.3518(444) 0.0 v T 96.7496b 1096.795480(576) v B 0.5340955136(212) 0.531036358(955) v D ] 107 6.367616(956) 6.32215(438) v H ] 1012 2.5331(601) 1.1655(331) v L ] 1016 [0.7361(451) 0.0 v T 198.2874b 1198.342850(839) v B 0.5393848802(453) 0.53625091(188) v D ] 107 7.82109(221) 7.5809(118) v H ] 1012 10.024(232) 2.758(157) v L ] 1016 [6.127(295) 0.0 v T 14019.735576(419) 14879.841678(725) v B 0.502859866(891) 0.49970779(128) v D ] 107 6.47534(599) 6.47413(695) v H ] 1012 [1.2301(757) [1.4681(865) v T 14192.610867(386) 15052.411844(587) v B 0.505651715(740) 0.502472345(988) v D ] 107 6.96823(352) 6.97267(466) v H ] 1012 0.6838(753) 0.4217(336) v L ] 1016 [0.1884(485) 0.0 v T 14361.352316(632) 15220.885899(833) v B 0.50862867(156) 0.50537854(151) v D ] 107 7.4172(103) 7.13597(758) v H ] 1012 2.868(315) [3.7115(702) v L ] 1016 [3.621(327) 0.0 v a Numbers in parentheses are uncertainties quoted to 1 standard deviation. b Extrapolated from the term values of Amiot et al. 1995.
v\2
v\3
v\4
1990.89483(103) 0.52202105(181) 4.22487(892) [6.718(106) 0.0 2087.674452(781) 0.52797821(122) 6.37261(501) 1.3128(387) 0.0 2189.24037(106) 0.53309953(174) 7.42413(738) 0.0 0.0 15732.161995(915) 0.49656009(138) 6.58915(471) 0.0 15904.451431(917) 0.49925965(145) 6.90463(613) [0.5386(590) 0.0 16072.64304(148) 0.50216217(372) 7.1983(260) [3.352(505) 0.0
2972.58842(135) 0.51901372(299) 4.3083(196) [6.368(383) 0.0 3069.38549(101) 0.52487297(120) 6.29540(333) 0.0 0.0 3170.94224(156) 0.52996797(282) 7.4872(110) 0.0 0.0 16576.63844(125) 0.49337809(201) 6.60226(703) 0.0 16748.63388(137) 0.49606166(262) 6.9625(107) 0.0 0.0 16916.49171(323) 0.49899320(420) 7.4725(125) 0.0 0.0
3945.08008(185) 0.51600085(430) 4.5649(218) 0.0 0.0 4041.87509(165) 0.52179205(331) 6.3976(137) 0.0 0.0 4143.4654(146) 0.5267376(306) 7.166(152) 0.0 0.0 17413.19012(158) 0.49018514(263) 6.64759(896) 0.0 17584.91593(138) 0.49281901(205) 6.95814(657) 0.0 0.0 17752.57196(201) 0.49568241(347) 7.4094(128) 0.0 0.0
TABLE 3 MATRIX ELEMENTS FOR 3% STATE )@
)
S)@ o H o )Ta
2......
2
2......
1
2......
0
1......
1
1......
0
0......
0
T ] A ] 2 j ] (B ] A ] 2 j [ c )(X [ 2) 3 D 3 D D ] (D ] A ] 2 j [ 2c < q )(X2 [ 2X) ] H(X3 [ 4X) H 3 H H H [ MB ] 1 A [ 1 j [ 1 c [ c ) 2 D 3 D 2 D ] [2D ] A [ 2 j [ 1 c [ 10 c < 1 (q ] p ) ^ 1 q ]X H 3 H 2 D 3 H 2 D H 3 H ] (H [ 1 c < 1 q )(3X2 ] 4X)NJ2(X [ 2) 6 H 3 H M2D [ c ] 4 j [ 8 c ^ 1 (q ] 2p [ q ) < 1 (q ] p ] 2o ) D 3 H 3 H 3 D H H 2 D H ] [2H [ 2 c < 1 (q ] 2p ] 2q )](3X ] 2)NJX(X [ 2) 3 H 6 D H H T [ 4 j [ 2c ] 6c [ 64c ^ (q ] 2p ] 64q ) < 6(q ] 4p ) 3 D H D H D H ] [B [ 4 j [ 4c ] 32c < 1 (q ] 2p ] 64q ) ^ 3(q ] 4p )](X ] 2) 3 D D H 2 D H D H ] [D [ 4 j [ 6c < 1 (q ] 4p ) ^ 5q ](X2 ] 8X) 3 H H 2 D H H ] (H < 1 q )(X3 ] 18X2 ] 16X) 2 H [ MB [ 1 A [ 1 j [ 1 c [ 2c ] 4c < 1 (p ] 2q ] o ] 16q ) ^ (3 q ] 2p ) 2 D 3 D 2 D H 2 D H 2 D H ] [2D [ A [ 2 j [ 1 c [ 16 c < 1 (p ] q ] 2o ] 5 p ) ^ 16 q ](X ] 2) H 3 H 2 D 3 H 2 D D H 3 H 3 H ] [H [ 1 c < 1 (p ] 2q )](3X2 ] 16X ] 8)NJ2X 6 H 6 H H T [ A ] 2 j [ 2c ] 2c [ 8c < (o ] p ] q ] 8p ] 12q ) ^ 2p 3 D H H H D ] [B [ A ] 2 j [ 3c ] 8c < (o ] p ) ^ 8(p ] q )](X ] 2) D 3 D D H D D H H ] [D [ A ] 2 j [ 4c < (o ] 2p ] q )](X2 ] 6X ] 4) H 3 H H H H H ] H(X3 ] 12X2 ] 24X ] 8)
a X \ J(J ] 1) ; upper(lower) sign [ e(f ) parity.
350
RAM ET AL.
Vol. 122
TABLE 4 MATRIX ELEMENTS FOR 3* STATE )@
)
S)@ o H o )Ta
3 ......................
3
3 ......................
2
3 ......................
1
2 ......................
2
2 ......................
1
1 ......................
1
T ] 2A ] 2 j ] c ] 2c ] 4c 3 D H ] (B ] 2A ] 2 j ] 2c )(X [ 4) D 3 D H ] (D ] 2A ] 2 j [ c )(X2 [ 6X ] 4) H 3 H H ] H(X3 [ 6X2 ] 8) [ MB ] A [ 1 j [ 1 (c ] c ) ] c D 3 D 2 D H ] (2D ] 2A [ 2 j [ 1 c [ 7 c )(X [ 1) H 3 H 2 D 3 H ] (H [ 1 c )(3X2 [ 2X [ 4)NJ2(X [ 6) 6 H M2D [ c ] 4 j [ 8 c D 3 H 3 H ] (2H [ 2 c )(3X ] 2)NJ(X [ 2)(X [ 6) 3 H T [ 4 j [ 2c ] 12c [ 136c 3 D H ] (B [ 4 j [ 4c ] 44c )(X ] 2) 3 D D H ] (D [ 4 j [ 6c )(X2 ] 8X [ 12) 3 H H ] H(X3 ] 18X2 [ 20X [ 24) [ MB [ A [ 1 j [ 1 c [ 5 c ] 9c D 3 D 2 2 D H ] (2D [ 2A [ 2 j [ 1 c [ 19 c )(X ] 3) H 3 H 2 D 3 H ] (H [ 1 c )(3X2 ] 22X ] 12)NJ2(X [ 2) 6 H T [ 2A ] 2 j [ 3c ] 6c [ 36c 3 D H ] (B [ 2A ] 2 j [ 4c ] 18c )(X ] 4) D 3 D D H ] (D [ 2A ] 2 j [ 5c )(X2 ] 10X ] 12) H 3 H H ] H(X3 ] 18X2 ] 56X ] 24)
a X \ J(J ] 1).
In the second Ðt the lines of the three subbands of the A 3'ÈX 3* transition were combined and Ðtted simultaneously using a HundÏs case (a) Hamiltonian for the 3' and 3* states. In this Ðt, we added the 1È0 band lines of the B 3%ÈX 3* transition with an assumed precision of ^ 0.002
cm~1. The main di†erence between this present Ðt and the Ðt of Amiot et al. (1995) is that we used an N2 Hamiltonian (Brown et al. 1979), while Amiot et al. (1995) have used an R2 Hamiltonian. The matrix elements for the 3%, 3*, and 3' states of the N2 Hamiltonian are provided in Tables 3, 4,
TABLE 5 MATRIX ELEMENTS FOR 3' STATE )@
)
S)@ o H o )Ta
4 ......................
4
4 ......................
3
4 ......................
2
3 ......................
3
3 ......................
2
2 ......................
2
T ] 3A ] 2 j ] 2c ] 6c ] 24c 3 D H ] (B ] 3A ] 2 j ] c ] 8c )(X [ 6) D 3 D D H ] (D ] 3A ] 2 j )(X2 [ 10X ] 12) H 3 H ] H(X3 [ 12X2 ] 16X ] 24) [ MB ] 3 A [ 1 j [ 1 c ] 4c 2 D 3 D 2 H ] (2D ] 3A [ 2 j [ 1 c [ 4 c )(X [ 2) H 3 H 2 D 3 H ] (H [ 1 c )(3X2 [ 8X [ 8)NJ2(X [ 12) 6 H M2D [ c ] 4 j [ 8 c D 3 H 3 H ] (2H [ 2 c )(3X ] 2)NJ(X [ 6)(X [ 12) 3 H T [ 4 j [ 2c ] 22c [ 256c 3 D H ] (B [ 4 j [ 4c ] 64c )(X ] 2) 3 D D H ] (D [ 4 j [ 6c )(X2 ] 8X [ 32) 3 H H ] H(X3 ] 18X2 [ 80X [ 64) [ MB [ 3 A [ 1 j [ 1 c [ 3c ] 16c 2 D 3 D 2 D H ] (2D ] 3A [ 2 j [ 1 c [ 22 c )(X ] 4) H 3 H 2 D 3 H ] (H [ 1 c )(3X2 ] 28X ] 16)NJ2(X [ 6) 6 H T [ 3A ] 2 j [ 4c ] 12c [ 96c 3 D H ] (B [ 3A ] 2 j [ 5c ] 32c )(X ] 6) D 3 D D H ] (D [ 3A ] 2 j [ 6c )(X2 ] 14X ] 24) H 3 H H ] H(X3 ] 24X2 ] 100X ] 48)
a X \ J(J ] 1).
A 3'ÈX 3* SYSTEM OF TiO
No. 1, 1999
351
TABLE 6 CASE A CONSTANTS IN WAVENUMBERS FOR THE X 3*, A 3', AND B 3% STATES OF TiOa Parameter
v\0
v\1
v\2
v\3
v\4
1990.924019(386) 0.527717794(423) 6.10638(117) 0.0 50.649515(216) [2.8372(126) 1.737445(341) 1.669(224)
2972.627602(555) 0.524637898(681) 6.14010(176) 0.0 50.646525(294) [2.9835(206) 1.732147(423) 3.471(272)
3945.12686(127) 0.52154179(204) 6.19430(793) 0.0 50.643099(731) [3.4510(632) 1.730519(582) 0.0
X 3* State T ............... v B ............... v D ] 107 . . . . . . . . v H ] 1014 . . . . . . v A ............... v A ] 105 . . . . . . Dv j ................ v j ] 106 . . . . . . . Dv
0.0 0.5338211558(159) 6.039325(698) 2.806(983) 50.6511629(604) [2.646614(470) 1.7472698(684) 0.6801(144)
1000.040659(287) 0.530778558(356) 6.07150(112) 0.0 50.651278(154) [2.74078(810) 1.741659(258) 1.306(161)
A 3' State T ............... v B ............... v D ] 107 . . . . . . . . v H ] 1014 . . . . . . v A ............... v A ] 105 . . . . . . Dv j ................ v j ] 106 . . . . . . . Dv
14092.905684(193) 0.505716075(244) 6.937508(942) 8.25(102) 57.9573454(742) [4.18140(290) [0.515184(168) [4.2199(692)
14952.717705(306) 0.502535549(416) 6.94586(140) 2.803(756) 57.853900(104) [4.15539(574) [0.512816(234) [3.674(129)
15804.759299(485) 0.499341114(744) 6.96497(304) 6.01(335) 57.753471(151) [4.13958(918) 0.510816(352) [3.093(197)
16648.943316(780) 0.49613864(106) 6.99498(330) 0.0 57.648809(263) [3.8818(159) [0.517394(361) 0.0
17485.239326(768) 0.49290307(113) 7.01526(350) 0.0 57.558472(242) [4.0852(172) [0.510315(396) 0.0
B 3% State T ............... ... 17012.463041(147) ... v B ............... ... 0.502865409(228) ... v D ] 107 . . . . . . . . ... 6.90626(113) ... v H ] 1014 . . . . . . ... 9.82(142) ... v A ............... ... 20.788469(223) ... v A ] 104 . . . . . . ... [1.1437(257) ... Dv A ] 109 . . . . . . ... [6.446(105) ... Hv c ] 102 . . . . . . . . ... 2.49139(521) ... v j ................ ... [0.930695(235) ... v j ] 106 . . . . . . . ... [3.826(658) ... Dv j ] 1010 . . . . . . ... [5.19(161) ... Hv o ................ ... [0.618623(260) ... v o ] 106 . . . . . . . ... 1.918(427) ... Dv o ] 1010 . . . . . . ... 3.90(119) ... Hv p ] 102 . . . . . . . . ... 2.611711(933) ... v p ] 107 . . . . . . . ... 1.1524(329) ... Dv q ] 104 . . . . . . . . ... 2.95986(352) ... v q ] 1010 . . . . . . ... [6.171(951) ... Dv a Standard deviation of Ðt, 1.0090 (unweighted rms deviation, 0.0050 cm~1) involving 6120 data points and parentheses are uncertainties quoted to 1 standard deviation.
and 5, respectively. The case (a) constants for the X 3* ground and A 3' and B 3% excited states obtained from this Ðt are provided in Table 6. In the third Ðt the same set of lines as used in the second Ðt were again Ðtted to determine directly the equilibrium constants for the A 3' and X 3* states. In this Ðt case the lines were Ðtted using the following polynomial, f (v) \ P ] P (v ] 1 )1 ] P (v ] 1 )2 0 1 2 2 2 ] P (v ] 1 )3 ] É É É 3 2 to represent the vibrational dependence of all of the case (a) spectroscopic constants. Here f (v) represents a molecular constant, and coefficients P , P , P , etc., are the corre0 1A set 2 of equilibrium consponding equilibrium constants. stants obtained for the X 3* and A 3' states is provided in Table 7. The B equilibrium rotational constants for the e states obtained from this Ðt are X 3* and A 3' 0.535335360(164) cm~1 and 0.507300491(369) cm~1, respectively. These constants are in excellent agreement with those obtained from a Ðt using the B values of Table 6 and the v
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
88 adjustable parameters. Numbers in
usual expression, B \ B [ a (v ] 1 ) ] c (v ] 1 )2 ] É É É . v e e 2 e 2 The same is true for the other equilibrium constants. The equilibrium rotational constants provide bond lengths of 1.62033709(25) A and 1.66450728(61) A for the X 3* and A 3' states. The equilibrium constants have been used in a RKR program to calculate the classical turning points of the potential energy curves of the A 3' and X 3* states (Table 8). The output from the RKR calculations has been used to calculate the Franck-Condon factors for the A 3'ÈX 3* transition of TiO (Table 9). The intensity of the observed bands is consistent with the calculated FranckCondon factors. Although the A 3'ÈX 3* transition of TiO has been studied previously by several workers, the constants obtained in the present work are expected to be both more accurate and more extensive. The inclusion of high J lines of the main and satellite branches in the B 3%ÈX 3* transition results in a precise determination of the ground-state molec-
TABLE 7 EQUILIBRIUM CONSTANTS IN WAVENUMBERS FOR THE X 3* AND A 3' STATES OF TiOa,b P
p
v
T ....... v B ....... v D ....... v H ....... v A ....... v A ...... Dv j ........ v j ...... Dv
p
p
2
p 3
1009.176435(654) [3.023758(366) ] 10~3 3.4150(632) ] 10~9 0.0 1.934(166) ] 10~3 [1.1019(524) ] 10~6 [5.420(258) ] 10~3 0.0
[4.561736(301) [9.2120(912) ] 10~6 3.20(180) ] 10~11 0.0 [8.757(350) ] 10~4 0.0 2.999(568) ] 10~4 0.0
[3.7816(420) ] 10~3 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0
1 X 3* State
0.0 0.535335360(164) 6.023307(870) ] 10~7 6.88(161) ] 10~14 50.650414(100) [2.59131(267) ] 10~5 1.749911(138) 6.724(158) ] 10~7
A 3' State T ....... 14163.554562(548) 867.516894(914) [3.833447(453) [1.17113(623) ] 10~2 v B ....... 0.507300491(369) [3.166620(701) ] 10~3 [5.754(322) ] 10~6 [3.440(406) ] 10~7 v D ....... 6.93158(107) ] 10~7 1.0894(805) ] 10~9 1.742(265) ] 10~10 0.0 v H ....... 1.143(168) ] 10~13 0.0 0.0 0.0 v A ....... 58.0100584(943) [0.1058600(935) 1.2013(169) ] 10~3 0.0 v A ...... [4.20100(328) ] 10~5 2.598(324) ] 10~7 0.0 0.0 Dv j ........ [0.516346(226) 3.052(234) ] 10~3 [2.467(441) ] 10~4 0.0 v j ...... [4.4856(813) ] 10~6 1.934(546) ] 10~7 0.0 0.0 Dv a P \ £3 p (v ] 1 )k. For P \ T , p \ T , p \ u , p \ [u x , p \ u y , while for P \ B , p \ B , p \ [a , 2 v v 0 e 1 e 2 e e 3 3 e v v 0 e 1 e p \ cv , etc. k/0 k 2 b Standard e deviation of Ðt, 1.0992 (unweighted rms deviation, 0.0054 cm~1) involving 6120 data points and 59 adjustable parameters. Numbers in parentheses are uncertainties quoted to 1 standard deviation. Determined molecular constants for v \ 1 of B 3% : T \ 17515.910342(347), B \ 0.502865452(249), D \ 6.90743(127) ] 10~7, H \ 1.369(192) ] 10~13, A \ 1 A \ [6.469(115) ] 1 10~9, c \ 0.0249132(569),1 j \ [0.930701(256), j 1 \ 20.788458(243), A1 \ [1.1435(280) ] 10~4, D1 j \ [5.27(175) ] 10~10, H1 o \ [0.618632(284), o 1 \ 1.952(467) ] 10~6, 1 o \ 3.79(130) ] 10~10, D1 [3.791(719) ] 10~6, H1 1 D1 H1 p \ 0.0261175(102), p \ 1.1504(359) ] 10~7, q \ 2.95978(384) ] 10~4, and q \ [6.15(104) ] 10~10. 1 D1 1 D1
TABLE 8 TURNING POINTS FOR THE RKR POTENTIAL ENERGY CURVE OF THE X 3* AND A 3' STATES OF TiO X 3*
A 3'
v
E(v)a
r min (A )
r max (A )
E(v)
r min (A )
r max (A )
0.0 . . . . . . 0.5 . . . . . . 1.0 . . . . . . 1.5 . . . . . . 2.0 . . . . . . 2.5 . . . . . . 3.0 . . . . . . 3.5 . . . . . . 4.0 . . . . . . 4.5 . . . . . . 5.0 . . . . . .
503.3372 1004.5008 1503.3779 1999.9656 2494.2601 2986.2608 3475.9640 3963.3658 4448.4640 4931.2559 5411.7385
1.5699 1.5502 1.5356 1.5236 1.5133 1.5041 1.4958 1.4882 1.4812 1.4747 1.4686
1.6756 1.7001 1.7195 1.7363 1.7516 1.7656 1.7788 1.7914 1.8034 1.8150 1.8262
432.8197 863.6928 1292.6246 1719.6316 2144.6660 2567.7436 2988.8683 3408.0039 3825.1525 4240.3053 4653.4536
1.6102 1.5892 1.5735 1.5607 1.5497 1.5400 1.5312 1.5231 1.5157 1.5088 1.5023
1.7243 1.7508 1.7718 1.7901 1.8067 1.8220 1.8364 1.8501 1.8632 1.8757 1.8879
a Calculated relative to the minimum of the X 3* potential curve. TABLE 9 FRANCK-CONDON FACTORSa FOR THE A 3'ÈX 3* SYSTEM OF TiO v@/v@@
0
1
2
3
4
0 ......................... 1 ......................... 2 ......................... 3 ......................... 4 .........................
0.7191 0.2362 0.0400 0.0044 0.0003
0.2365 0.3188 0.3294 0.0976 0.0159
0.0398 0.3317 0.1038 0.3291 0.0155
0.0042 0.0971 0.3350 0.0143 0.2758
0.0003 0.0148 0.0155 0.2860 0.0020
a Calculated from the RKR curves of Table 8.
A 3'ÈX 3* SYSTEM OF TiO ular constants including the spin-orbit splitting constants and spin-spin constants for v \ 0. This, in turn, results in the reliable spin constants in the excited A 3' state and in the excited vibrational levels of the ground state. Our constants for the X 3* v \ 0 level are in excellent agreement with the constants of Amiot et al. (1995). The present A 3' state constants agree only moderately with the most recent constants of Barnes et al. (1996) because they used an R2 Hamiltonian and they had a much smaller data set. Our constants are also in good agreement with the less precise constants of Phillips (1973). Since TiO is the main source of visible and near-infrared opacity in M-type stars (Merrill, Deutsch, & Keenan 1962), our work on the strong c-bands will result in improved stellar opacity functions. Currently the best TiO opacities are those of Jorgensen (1994), but recent experiments (Hedgecock et al. 1995) and calculations (Langho† 1997) have resulted in substantial changes in the oscillator strengths of many transitions. New TiO opacities have been calculated by Schwenke (1998), who combined both theoretical predictions and experimental data. 4.
SUMMARY
In conclusion, we have observed the A 3'ÈX 3* transition of TiO in the laboratory as well as in sunspot spectra. The Fourier transform measurements of several bands of
353
the A 3'ÈX 3* transition have been combined with the previous sub-Doppler measurements of the 1È0 band of the B 3%ÈX 3* transition (Amiot et al. 1995), with laser excitation measurements of low J lines of the A 3'ÈX 3* transition (Barnes et al. 1996) and a pure rotational transition in the X 3* ground state (Steimle et al. 1990 ; Namiki et al. 1998), to obtain an improved set of molecular constants. Our constants are expected to be more precise than those previously determined and should prove helpful in the modeling of cool stellar atmospheres and in the calculation of molecular opacities. We thank J. Wagner and C. Plymate of the National Solar Observatory for assistance in obtaining the spectra. We thank C. Amiot for providing the unpublished line positions of the 1È0 band of the B 3%ÈX 3* transition. We also thank T. C. Steimle for bringing to our attention their recent work on the measurements of pure rotational transitions of the ground state and providing the list of lines before publication. The National Solar Observatory is operated by the Association of Universities for Research in Astronomy, Inc., under contract with the National Science Foundation. The research described here was supported by funding from the NASA laboratory astrophysics program. Some support was also provided by the Natural Sciences and Engineering Research Council of Canada.
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