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Table A.1:

List of energies for the n=3 levels.
i C L $E_{\rm exp.}$ $E_{\rm NIST}$ $E_{\rm MR-MP}$
1 2p6 1S0 0 0 0
2 2p53s 3P2 5849490 5849490 (0) 5848891 (599)
3 2p53s 1P1 5864760 5864770 (-10) 5864138 (622)
4 2p53s 3P0 5951478 5951210 (268) 5950877 (601)
5 2p53s 3P1 5961022 5960870 (152) 5960410 (612)
6 2p53p 3S1 6093568 6093450 (118) 6093209 (359)
7 2p53p 3D2 6121756 6121690 (66) 6121253 (503)
8 2p53p 3D3 6134815 6134730 (85) 6134360 (455)
9 2p53p 1P1 6143897 6143850 (47) 6143431 (466)
10 2p53p 3P2 6158540 6158470 (70) 6158010 (530)
11 2p53p 3P0 6202620 6202250 (370) 6202238 (382)
12 2p53p 3D1 6219266 6219030 (236) 6218795 (471)
13 2p53p 3P1 6245490 6245210 (280) 6245018 (472)
14 2p53p 1D2 6248530 6248260 (270) 6248024 (506)
15 2p53p 1S0 6353356 6353410 (-54) 6351136 (2220)
16 2p53d 3P0 6464095 6463980 (115) 6463611 (484)
17 2p53d 3P1 6471233 6471800 (-567) 6471317 (-84)
18 2p53d 3P2 6486440 6486400 (40) 6485977 (463)
19 2p53d 3F4 6487000 6486830 (170) 6486514 (486)
20 2p53d 3F3 6492924 6493030 (-106) 6492387 (537)
21 2p53d 1D2 6506808 6506700 (108) 6506276 (532)
22 2p53d 3D3 6515479 6515350 (129) 6514936 (543)
23 2p53d 3D1 6552221 6552200 (21) 6552491 (-270)
24 2p53d 3F2 6594617 6594360 (257) 6594099 (518)
25 2p53d 3D2 6601210 6600950 (260) 6600688 (522)
26 2p53d 1F3 6605469 6605150 (319) 6604858 (611)
27 2p53d 1P1 6660894 6660000 (894) 6660232 (662)
28 2p63s 3S1 - - 6929964
29 2p63s 1S0 6978842 7010000 6977876 (966)
        (-31158)  
30 2p63p 3P0 - - 7194137
31 2p63p 3P1 7199424 7198900 (524) 7197788 (1636)
32 2p63p 3P2 - - 7216629
33 2p63p 1P1 7233273 7234300 7232164 (1109)
        (-1027)  
34 2p63d 3D1 - - 7556104
35 2p63d 3D2 - - 7557249
36 2p63d 3D3 - - 7559441
37 2p63d 1D2 7599108 - 7597767 (1341)

Notes: We list our experimental energies $E_{\rm exp.}$ (in cm-1), compared with the values in the NIST compilation ( $E_{\rm NIST}$) and those calculated with the many-body perturbation theory ( $E_{\rm MR-MP}$) for the n=3 levels. Values in parentheses indicate differences with our observed energies.

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