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Table 1:

Energy levels (in Ryd) of Si9+.
ID Conf. $^{2S+1}L_J^{\pi}$ ${\rm NIST}^a$ ${\rm AS}^b$ ${\rm FAC}^c$ ${\rm ZS94}^d$ ID Conf. $^{2S+1}L_J^{\pi}$ ${\rm NIST}^a$ AS FAC ZS94
1 ${\rm 2s^2 2p}$ ${\rm ^2P^{o}_{1/2} }$         64 ${\rm 2p^2 3s}$ ${\rm ^4P^{e}_{3/2} }$   20.8084 20.8434 20.7610
2 ${\rm 2s^2 2p}$ ${\rm ^2P^{o}_{3/2} }$ 0.0637 0.0664 0.0623 0.0637 65 ${\rm 2p^2 3s}$ ${\rm ^4P^{e}_{5/2} }$   20.8453 20.8776 20.7951
3 ${\rm 2s 2p^2}$ ${\rm ^4P^{e}_{1/2} }$ 1.4672 1.4370 1.4335 1.4672 66 ${\rm 2s 2p 3d }$ ${\rm ^2F^{o}_{7/2} }$ 20.9582 21.0562 21.0263 21.0180
4 ${\rm 2s 2p^2}$ ${\rm ^4P^{e}_{3/2} }$ 1.4898 1.4610 1.4567 1.4898 67 ${\rm 2s 2p 3d }$ ${\rm ^2F^{o}_{5/2} }$ 20.9582 21.0575 21.0282 21.0191
5 ${\rm 2s 2p^2}$ ${\rm ^4P^{e}_{5/2} }$ 1.5224 1.4985 1.4880 1.5224 68 ${\rm 2s 2p 3d }$ ${\rm ^2D^{o}_{3/2} }$ 21.0551 21.1356 21.1353 21.0838
6 ${\rm 2s 2p^2}$ ${\rm ^2D^{e}_{3/2} }$ 2.6231 2.6815 2.6620 2.6231 69 ${\rm 2s 2p 3d }$ ${\rm ^2D^{o}_{5/2} }$ 21.0629 21.1425 21.1416 21.0900
7 ${\rm 2s 2p^2}$ ${\rm ^2D^{e}_{5/2} }$ 2.6234 2.6833 2.6622 2.6234 70 ${\rm 2p^2 3s}$ ${\rm ^2P^{e}_{1/2} }$   21.2186 21.2463 21.1318
8 ${\rm 2s 2p^2}$ ${\rm ^2S^{e}_{1/2} }$ 3.3505 3.4221 3.4029 3.3505 71 ${\rm 2p^2 3s}$ ${\rm ^2P^{e}_{3/2} }$   21.2590 21.2825 21.1699
9 ${\rm 2s 2p^2}$ ${\rm ^2P^{e}_{1/2} }$ 3.5543 3.6491 3.6325 3.5543 72 ${\rm 2s 2p 3d }$ ${\rm ^2P^{o}_{1/2} }$   21.2731 21.2686 21.2200
10 ${\rm 2s 2p^2}$ ${\rm ^2P^{e}_{3/2} }$ 3.5907 3.6895 3.6687 3.5907 73 ${\rm 2s 2p 3d }$ ${\rm ^2P^{o}_{3/2} }$   21.2800 21.2732 21.2246
11 ${\rm 2p^3}$ ${\rm ^4S^{o}_{3/2} }$ 4.6414 4.6641 4.6274 4.6414 74 ${\rm 2p^2 3p}$ ${\rm ^2S^{o}_{1/2} }$   21.2878 21.3255 21.2422
12 ${\rm 2p^3}$ ${\rm ^2D^{o}_{3/2} }$ 5.2437 5.3479 5.2973 5.2437 75 ${\rm 2p^2 3p}$ ${\rm ^4D^{o}_{1/2} }$   21.3792 21.4234 21.3370
13 ${\rm 2p^3}$ ${\rm ^2D^{o}_{5/2} }$ 5.2439 5.3517 5.2984 5.2439 76 ${\rm 2p^2 3p}$ ${\rm ^4D^{o}_{3/2} }$   21.3931 21.4355 21.3510
14 ${\rm 2p^3}$ ${\rm ^2P^{o}_{1/2} }$ 5.8937 6.0271 5.9806 5.8937 77 ${\rm 2p^2 3p}$ ${\rm ^4D^{o}_{5/2} }$   21.4168 21.4567 21.3744
15 ${\rm 2p^3}$ ${\rm ^2P^{o}_{3/2} }$ 5.8994 6.0348 5.9832 5.8995 78 ${\rm 2p^2 3s}$ ${\rm ^2D^{e}_{5/2} }$   21.4443 21.4737 21.3951
16 ${\rm 2s^2 3s}$ ${\rm ^2S^{e}_{1/2} }$   16.5450 16.5368 16.4970 79 ${\rm 2p^2 3s}$ ${\rm ^2D^{e}_{3/2} }$   21.4455 21.4748 21.3956
17 ${\rm 2s^2 3p}$ ${\rm ^2P^{o}_{1/2} }$   17.2856 17.2881 17.2366 80 ${\rm 2p^2 3p}$ ${\rm ^4D^{o}_{7/2} }$   21.4503 21.4879 21.4061
18 ${\rm 2s^2 3p}$ ${\rm ^2P^{o}_{3/2} }$   17.3019 17.3046 17.2548 81 ${\rm 2p^2 3p}$ ${\rm ^4P^{o}_{1/2} }$   21.4860 21.5255 21.4449
19 ${\rm 2s^2 3d}$ ${\rm ^2D^{e}_{3/2} }$ 18.0363 18.0030 17.9972 17.9443 82 ${\rm 2p^2 3p}$ ${\rm ^4P^{o}_{3/2} }$   21.4956 21.5349 21.4531
20 ${\rm 2s^2 3d}$ ${\rm ^2D^{e}_{5/2} }$ 18.0406 18.0078 18.0014 17.9493 83 ${\rm 2p^2 3p}$ ${\rm ^4P^{o}_{5/2} }$   21.5166 21.5535 21.4733
21 ${\rm 2s 2p 3s }$ ${\rm ^4P^{o}_{1/2} }$ 18.1600 18.1070 18.1088 18.0608 84 ${\rm 2p^2 3p}$ ${\rm ^2D^{o}_{3/2} }$   21.5945 21.6406 21.5462
22 ${\rm 2s 2p 3s }$ ${\rm ^4P^{o}_{3/2} }$ 18.1810 18.1289 18.1293 18.0818 85 ${\rm 2p^2 3p}$ ${\rm ^2D^{o}_{5/2} }$   21.6397 21.6836 21.5903
23 ${\rm 2s 2p 3s }$ ${\rm ^4P^{o}_{5/2} }$ 18.2215 18.1681 18.1675 18.1209 86 ${\rm 2p^2 3p}$ ${\rm ^4S^{o}_{3/2} }$   21.7785 21.8273 21.6973
24 ${\rm 2s 2p 3s }$ ${\rm ^2P^{o}_{1/2} }$ 18.5084 18.4910 18.5012 18.4184 87 ${\rm 2p^2 3p}$ ${\rm ^2P^{o}_{3/2} }$   21.7866 21.8347 21.7384
25 ${\rm 2s 2p 3s }$ ${\rm ^2P^{o}_{3/2} }$ 18.5521 18.5346 18.5431 18.4615 88 ${\rm 2p^2 3p}$ ${\rm ^2P^{o}_{1/2} }$   21.7908 21.8588 21.7342
26 ${\rm 2s 2p 3p }$ ${\rm ^4D^{e}_{1/2} }$   18.7682 18.7772 18.7209 89 ${\rm 2p^2 3d}$ ${\rm ^4F^{e}_{3/2} }$   21.9403 21.9761 21.8967
27 ${\rm 2s 2p 3p }$ ${\rm ^4D^{e}_{3/2} }$   18.7885 18.7954 18.7405 90 ${\rm 2p^2 3d}$ ${\rm ^4F^{e}_{5/2} }$   21.9537 21.9902 21.9094
28 ${\rm 2s 2p 3p }$ ${\rm ^2P^{e}_{1/2} }$ 18.8139 18.8058 18.8146 18.7593 91 ${\rm 2p^2 3d}$ ${\rm ^4F^{e}_{7/2} }$   21.9731 22.0079 21.9278
29 ${\rm 2s 2p 3p }$ ${\rm ^2P^{e}_{3/2} }$ 18.8336 18.8152 18.8238 18.7683 92 ${\rm 2p^2 3d}$ ${\rm ^4F^{e}_{9/2} }$   21.9993 22.0288 21.9520
30 ${\rm 2s 2p 3p }$ ${\rm ^4D^{e}_{5/2} }$   18.8220 18.8269 18.7769 93 ${\rm 2p^2 3p}$ ${\rm ^2F^{o}_{5/2} }$   22.0439 22.0825 22.0050
31 ${\rm 2s 2p 3p }$ ${\rm ^4D^{e}_{7/2} }$   18.8560 18.8607 18.8121 94 ${\rm 2p^2 3p}$ ${\rm ^2F^{o}_{7/2} }$   22.0554 22.0939 22.0171
32 ${\rm 2s 2p 3p }$ ${\rm ^4S^{e}_{3/2} }$   18.9487 18.9586 18.9056 95 ${\rm 2p^2 3d}$ ${\rm ^2P^{e}_{3/2} }$   22.0733 22.1139 22.0267
33 ${\rm 2s 2p 3p }$ ${\rm ^4P^{e}_{1/2} }$   19.0525 19.0822 18.9858 96 ${\rm 2p^2 3d}$ ${\rm ^4D^{e}_{1/2} }$   22.0776 22.1154 22.0355
34 ${\rm 2s 2p 3p }$ ${\rm ^4P^{e}_{3/2} }$   19.0711 19.0993 19.0046 97 ${\rm 2p^2 3d}$ ${\rm ^4D^{e}_{5/2} }$   22.0953 22.1334 22.0516
35 ${\rm 2s 2p 3p }$ ${\rm ^4P^{e}_{5/2} }$   19.0913 19.1179 19.0227 98 ${\rm 2p^2 3d}$ ${\rm ^4D^{e}_{3/2} }$   22.1032 22.1447 22.0571
36 ${\rm 2s 2p 3p }$ ${\rm ^2D^{e}_{3/2} }$ 19.1890 19.1704 19.1919 19.1028 99 ${\rm 2p^2 3d}$ ${\rm ^4D^{e}_{7/2} }$   22.1066 22.1403 22.0621
37 ${\rm 2s 2p 3p }$ ${\rm ^2D^{e}_{5/2} }$ 19.2301 19.2114 19.2327 19.1437 100 ${\rm 2p^2 3d}$ ${\rm ^2P^{e}_{1/2} }$   22.1345 22.1755 22.0831
38 ${\rm 2s 2p 3d }$ ${\rm ^4F^{o}_{3/2} }$   19.3897 19.3973 19.3414 101 ${\rm 2p^2 3d}$ ${\rm ^2F^{e}_{5/2} }$   22.1703 22.2021 22.1259
39 ${\rm 2s 2p 3d }$ ${\rm ^4F^{o}_{5/2} }$   19.4030 19.4121 19.3544 102 ${\rm 2p^2 3d}$ ${\rm ^2F^{e}_{7/2} }$   22.2179 22.2450 22.1725
40 ${\rm 2s 2p 3d }$ ${\rm ^4F^{o}_{7/2} }$   19.4226 19.4318 19.3738 103 ${\rm 2p^2 3d}$ ${\rm ^4P^{e}_{5/2} }$ 22.2756 22.2494 22.2927 22.1978
41 ${\rm 2s 2p 3p }$ ${\rm ^2S^{e}_{1/2} }$ 19.4337 19.4284 19.4463 19.3548 104 ${\rm 2p^2 3p}$ ${\rm ^2D^{o}_{5/2} }$   22.2642 22.3481 22.1825
42 ${\rm 2s 2p 3d }$ ${\rm ^4F^{o}_{9/2} }$   19.4499 19.4548 19.4014 105 ${\rm 2p^2 3d}$ ${\rm ^4P^{e}_{3/2} }$ 22.2896 22.2649 22.3069 22.2135
43 ${\rm 2s 2p 3d }$ ${\rm ^4D^{o}_{1/2} }$ 19.6004 19.5602 19.5722 19.5081 106 ${\rm 2p^2 3p}$ ${\rm ^2D^{o}_{3/2} }$   22.2651 22.3514 22.1856
44 ${\rm 2s 2p 3d }$ ${\rm ^4D^{o}_{3/2} }$ 19.6004 19.5622 19.5757 19.5096 107 ${\rm 2p^2 3d}$ ${\rm ^4P^{e}_{1/2} }$   22.2731 22.3158 22.2216
45 ${\rm 2s 2p 3d }$ ${\rm ^4D^{o}_{5/2} }$ 19.6046 19.5664 19.5820 19.5130 108 ${\rm 2p^2 3s}$ ${\rm ^2S^{e}_{1/2} }$   22.4339 22.4660 22.4001
46 ${\rm 2s 2p 3d }$ ${\rm ^4D^{o}_{7/2} }$ 19.6271 19.5879 19.5997 19.5349 109 ${\rm 2p^2 3p}$ ${\rm ^2P^{o}_{1/2} }$   22.4519 22.5090 22.3612
47 ${\rm 2s 2p 3d }$ ${\rm ^2D^{o}_{3/2} }$ 19.6260 19.6072 19.6198 19.5313 110 ${\rm 2p^2 3p}$ ${\rm ^2P^{o}_{3/2} }$   22.4792 22.5387 22.3865
48 ${\rm 2s 2p 3d }$ ${\rm ^2D^{o}_{5/2} }$ 19.6331 19.6112 19.6240 19.5390 111 ${\rm 2p^2 3d}$ ${\rm ^2D^{e}_{3/2} }$   22.5927 22.6130 22.5328
49 ${\rm 2s 2p 3d }$ ${\rm ^4P^{o}_{5/2} }$ 19.6917 19.6450 19.6568 19.5923 112 ${\rm 2p^2 3d}$ ${\rm ^2D^{e}_{5/2} }$   22.5934 22.6147 22.5347
50 ${\rm 2s 2p 3d }$ ${\rm ^4P^{o}_{3/2} }$ 19.7025 19.6516 19.6655 19.6026 113 ${\rm 2p^2 3d}$ ${\rm ^2G^{e}_{7/2} }$   22.6011 22.6272 22.5608
51 ${\rm 2s 2p 3d }$ ${\rm ^4P^{o}_{1/2} }$   19.6576 19.6736 19.6098 114 ${\rm 2p^2 3d}$ ${\rm ^2G^{e}_{9/2} }$   22.6062 22.6303 22.5653
52 ${\rm 2s 2p 3s }$ ${\rm ^2P^{o}_{1/2} }$   19.7078 19.7031 19.6708 115 ${\rm 2p^2 3d}$ ${\rm ^2D^{e}_{3/2} }$   22.7474 22.7877 22.7047
53 ${\rm 2s 2p 3s }$ ${\rm ^2P^{o}_{3/2} }$ 19.6682 19.7092 19.7045 19.6714 116 ${\rm 2p^2 3d}$ ${\rm ^2D^{e}_{5/2} }$   22.7651 22.8000 22.7200
54 ${\rm 2s 2p 3d }$ ${\rm ^2F^{o}_{5/2} }$ 19.9439 19.9522 19.9611 19.9023 117 ${\rm 2p^2 3d}$ ${\rm ^2F^{e}_{7/2} }$   22.8084 22.8288 22.7608
55 ${\rm 2s 2p 3d }$ ${\rm ^2F^{o}_{7/2} }$ 19.9858 19.9925 19.9999 19.9430 118 ${\rm 2p^2 3d}$ ${\rm ^2F^{e}_{5/2} }$   22.8222 22.8440 22.7754
56 ${\rm 2s 2p 3d }$ ${\rm ^2P^{o}_{3/2} }$ 20.0407 20.0350 20.0399 19.9648 119 ${\rm 2p^2 3d}$ ${\rm ^2P^{e}_{1/2} }$   22.9527 22.9918 22.8744
57 ${\rm 2s 2p 3d }$ ${\rm ^2P^{o}_{1/2} }$ 20.0642 20.0575 20.0621 19.9866 120 ${\rm 2p^2 3d}$ ${\rm ^2P^{e}_{3/2} }$   22.9693 23.0067 22.8888
58 ${\rm 2s 2p 3p }$ ${\rm ^2P^{e}_{1/2} }$   20.4168 20.4263 20.3749 121 ${\rm 2p^2 3d}$ ${\rm ^2S^{e}_{1/2} }$   23.0395 23.0746 23.0057
59 ${\rm 2s 2p 3p }$ ${\rm ^2P^{e}_{3/2} }$   20.4271 20.4346 20.3836 122 ${\rm 2p^2 3p}$ ${\rm ^2P^{o}_{1/2} }$   23.1746 23.2319 23.1418
60 ${\rm 2s 2p 3p }$ ${\rm ^2D^{e}_{3/2} }$   20.4412 20.4468 20.3963 123 ${\rm 2p^2 3p}$ ${\rm ^2P^{o}_{3/2} }$   23.1805 23.2360 23.1486
61 ${\rm 2s 2p 3p }$ ${\rm ^2D^{e}_{5/2} }$   20.4424 20.4463 20.3977 124 ${\rm 2p^2 3d}$ ${\rm ^2D^{e}_{5/2} }$   23.7640 23.7756 23.7376
62 ${\rm 2s 2p 3p }$ ${\rm ^2S^{e}_{1/2} }$ 20.4698 20.6368 20.6169 20.5801 125 ${\rm 2p^2 3d}$ ${\rm ^2D^{e}_{3/2} }$   23.7716 23.7839 23.7456
63 ${\rm 2p^2 3s}$ ${\rm ^4P^{e}_{1/2} }$   20.7850 20.8237 20.7382              
a http://physics.nist.gov/PhysRefData/ASD/levels_form.html; b AUTOSTRUCTURE (present work); c Liang et al. (2007); d Zhang & Sampson (1994), their 15 lowest-lying levels are observed values from Zhang et al. (1994).

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