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Table 1

Energies in cm-1 for levels in Si X.

No. Configuration LS J E(RCI) E(EXP) E(MRMP) E(RMBPT) E(CHIexp) E(CHIcalc) E(MBPT)
1 2s(2).2p 2P 1/2 0 0 0 0 0 0 0
2 2s(2).2p 2P 3/2 6 990 6 991 6 961 7 000 6 991 7 290 6 874
3 2s.2p(2)3P 4P 1/2 161 022 161 010 160 813 161 437 161 028 157 687 160 718
4 2s.2p(2)3P 4P 3/2 163 453 163 490 163 286 163 925 163 503 160 324 163 201
5 2s.2p(2)3P 4P 5/2 167 044 167 060 166 847 167 511 167 069 164 438 166 754
6 2s.2p(2)1D 2D 3/2 288 100 287 850 287 727 287 448 287 851 294 258 286 178
7 2s.2p(2)1D 2D 5/2 288 117 287 880 287 754 287 467 287 860 294 455 286 245
8 2s.2p(2)1S 2S 1/2 368 007 367 670 367 623 367 741 367 658 375 537 365 775
9 2s.2p(2)3P 2P 1/2 390 395 390 040 390 501 389 298 390 050 400 444 389 343
10 2s.2p(2)3P 2P 3/2 394 369 394 030 394 504 393 257 394 027 404 878 393 294
11 2p(3)4S 4S 3/2 509 213 509 330 509 165 509 543 509 289 511 830 508 580
12 2p(3)2D 2D 3/2 575 538 575 430 575 133 574 823 575 427 586 864 571 928
13 2p(3)2D 2D 5/2 575 564 575 450 575 158 574 863 575 456 587 281 571 902
14 2p(3)2P 2P 1/2 646 972 646 760 646 691 646 133 646 760 661 395 643 250
15 2p(3)2P 2P 3/2 647 589 647 390 647 250 646 775 647 390 662 243 643 835
16 2s(2).3s 2S 1/2 1 821 975 1 822 000 1 821 859 1 823 343 1 822 004 1 815 605
17 2s(2).3p 2P 1/2 1 902 444 1 902 100 1 902 494 1 903 801 1 896 879
18 2s(2).3p 2P 3/2 1 904 304 1 903 957 1 904 352 1 905 665 1 898 664
19 2s(2).3d 2D 3/2 1 979 272 1 979 260 1 979 457 1 980 633 1 979 260 1 975 596
20 2s(2).3d 2D 5/2 1 979 762 1 979 730 1 979 944 1 981 124 1 979 730 1 976 124
21 2s.2p_3P.3s 4P 1/2 1 992 698 1 992 850 1 992 728 1 994 133 1 992 860 1 987 010
22 2s.2p_3P.3s 4P 3/2 1 994 989 1 995 140 1 995 016 1 996 432 1 995 153 1 989 420
23 2s.2p_3P.3s 4P 5/2 1 999 276 1 999 580 1 999 293 2 000 715 1 999 580 1 993 714
24 2s.2p_3P.3s 2P 1/2 2 031 112 2 031 070 2 031 025 2 032 013 2 031 060 2 029 150
25 2s.2p_3P.3s 2P 3/2 2 035 800 2 035 860 2 035 692 2 036 700 2 035 860 2 033 938
26 2s.2p_3P.3p 2P 1/2 2 064 373 2 064 770 2 064 333 2 065 321 2 064 590 2 063 696
27 2s.2p_3P.3p 2P 3/2 2 066 510 2 066 600 2 066 470 2 067 465 2 066 750 2 064 727
28 2s.2p_3P.3p 4D 1/2 2 068 522 2 068 488 2 069 556 2 059 572
29 2s.2p_3P.3p 4D 3/2 2 069 516 2 069 481 2 070 055 2 061 793
30 2s.2p_3P.3p 4D 5/2 2 070 743 2 070 725 2 071 935 2 065 470
31 2s.2p_3P.3p 4D 7/2 2 074 525 2 074 502 2 075 720 2 069 208
32 2s.2p_3P.3p 4S 3/2 2 085 441 2 085 399 2 086 792 2 079 378
33 2s.2p_3P.3p 4P 1/2 2 095 426 2 095 274 2 096 880 2 090 773
34 2s.2p_3P.3p 4P 3/2 2 097 476 2 097 329 2 098 935 2 092 807
35 2s.2p_3P.3p 4P 5/2 2 099 483 2 099 337 2 100 939 2 095 022
36 2s.2p_3P.3p 2D 3/2 2 105 583 2 105 750 2 105 297 2 106 140 2 105 800 2 103 702
37 2s.2p_3P.3p 2D 5/2 2 110 094 2 110 260 2 109 773 2 110 659 2 110 260 2 108 207
38 2s.2p_3P.3d 4F 3/2 2 131 375 2 131 548 2 132 998 2 127 778
39 2s.2p_3P.3p 2S 1/2 2 132 461 2 132 700 2 132 289 2 132 857 2 132 500 2 132 024
40 2s.2p_3P.3d 4F 5/2 2 132 726 2 132 895 2 134 355 2 129 237
41 2s.2p_3P.3d 4F 7/2 2 134 759 2 134 922 2 136 394 2 131 381
42 2s.2p_3P.3d 4F 9/2 2 137 677 2 137 824 2 139 316 2 134 382
43 2s.2p_3P.3d 4D 1/2 2 150 711 2 150 900 2 150 882 2 152 278 2 150 919 2 146 486
44 2s.2p_3P.3d 4D 3/2 2 150 921 2 150 900 2 151 105 2 152 488 2 150 920 2 146 707
45 2s.2p_3P.3d 4D 5/2 2 151 357 2 151 360 2 151 561 2 152 918 2 151 377 2 147 165
46 2s.2p_3P.3d 4D 7/2 2 153 615 2 153 830 2 153 782 2 155 194 2 153 837 2 149 526
47 2s.2p_3P.3d 2D 3/2 2 153 671 2 153 700 2 153 800 2 154 783 2 153 700 2 151 636
48 2s.2p_3P.3d 2D 5/2 2 154 450 2 154 480 2 154 603 2 155 637 2 154 480 2 152 077
49 2s.2p_1P.3s 2P 1/2 2 158 254 2 158 087 2 158 381 2 158 891 2 162 678
50 2s.2p_1P.3s 2P 3/2 2 158 498 2 158 330 2 158 624 2 159 097 2 158 330 2 162 831
51 2s.2p_3P.3d 4P 5/2 2 160 667 2 160 920 2 160 688 2 162 652 2 160 928 2 155 784
52 2s.2p_3P.3d 4P 3/2 2 161 866 2 162 100 2 161 922 2 163 898 2 162 191 2 156 515
53 2s.2p_3P.3d 4P 1/2 2 162 702 2 162 770 2 162 752 2 164 752 2 162 831
54 2s.2p_3P.3d 2F 5/2 2 188 725 2 188 590 2 189 222 2 188 637 2 188 594 2 189 496
55 2s.2p_3P.3d 2F 7/2 2 193 061 2 193 120 2 193 558 2 192 958 2 193 093 2 193 926
56 2s.2p_3P.3d 2P 3/2 2 199 160 2 199 200 2 199 553 2 200 720 2 199 200 2 198 590
57 2s.2p_3P.3d 2P 1/2 2 201 712 2 201 790 2 202 131 2 203 226 2 201 790 2 201 058
58 2s.2p_1P.3p 2D 3/2 2 236 095 2 237 640 2 237 399 2 236 148 2 243 158
59 2s.2p_1P.3p 2P 1/2 2 236 475 2 236 200 2 236 522 2 236 889 2 236 200 2 240 488
60 2s.2p_1P.3p 2D 5/2 2 236 805 2 236 400 2 236 731 2 236 815 2 236 400 2 243 290
61 2s.2p_1P.3p 2P 3/2 2 238 058 2 236 400 2 236 682 2 238 445 2 241 613
62 2s.2p_1P.3p 2S 1/2 2 253 603 2 253 121 2 253 659 2 254 360 2 253 121 2 264 624
63 2p(2)3P.3s 4P 1/2 2 284 877 2 284 809 2 285 899 2 280 893
64 2p(2)3P.3s 4P 3/2 2 287 364 2 287 355 2 288 439 2 283 455
65 2p(2)3P.3s 4P 5/2 2 291 136 2 291 118 2 292 191 2 287 508
66 2s.2p_1P.3d 2F 7/2 2 299 933 2 299 900 2 299 891 2 299 975 2 299 890 2 310 646
67 2s.2p_1P.3d 2F 5/2 2 300 109 2 299 900 2 300 052 2 300 142 2 299 891 2 310 796
68 2s.2p_1P.3d 2D 3/2 2 310 748 2 310 530 2 311 223 2 311 118 2 310 530 2 319 362
69 2s.2p_1P.3d 2D 5/2 2 311 464 2 311 390 2 311 943 2 311 839 2 311 390 2 320 123
70 2p(2)_3P.3s 2P 1/2 2 323 216 2 322 666 2 323 564 2 328 471
71 2s.2p_1P.3d 2P 1/2 2 323 391 2 323 844 2 323 664 2 334 457
72 2s.2p_1P.3d 2P 3/2 2 323 923 2 323 820 2 324 376 2 324 215 2 335 213
73 2p(2)3P.3s 2P 3/2 2 327 400 2 326 861 2 327 751 2 332 902
74 2p(2)3P.3p 2S 1/2 2 339 997 2 340 074 2 341 171 2 336 064
75 2p(2)1D.3s 2D 5/2 2 347 203 2 346 689 2 347 181 2 353 236
76 2p(2)1D.3s 2D 3/2 2 347 351 2 346 831 2 347 364 2 353 366
77 2p(2)3P.3p 4D 1/2 2 349 696 2 349 960 2 349 758 2 350 778 2 346 091
78 2p(2)3P.3p 4D 3/2 2 351 202 2 351 487 2 351 285 2 352 306 2 347 621
79 2p(2)3P.3p 4D 5/2 2 353 724 2 354 035 2 353 833 2 354 853 2 350 222
80 2p(2)3P.3p 4D 7/2 2 357 163 2 357 463 2 357 261 2 358 274 2 353 892
81 2p(2)3P.3p 4P 1/2 2 361 188 2 361 277 2 362 361 2 357 818
82 2p(2)3P.3p 4P 3/2 2 362 053 2 362 122 2 363 177 2 358 865
83 2p(2)3P.3p 4P 5/2 2 364 104 2 364 198 2 365 216 2 361 178
84 2p(2)3P.3p 2D 3/2 2 369 768 2 369 698 2 370 363 2 369 720
85 2p(2)3P.3p 2D 5/2 2 374 695 2 374 623 2 375 314 2 374 684
86 2p(2)3P.3p 2P 3/2 2 389 244 2 390 320 2 390 048 2 389 727 2 390 320 2 390 797
87 2p(2)3P.3p 2P 1/2 2 389 965 2 389 320 2 389 833 2 390 492 2 391 261
88 2p(2)3P.3p 4S 3/2 2 391 186 2 390 416 2 390 242 2 392 471 2 390 416 2 389 919
89 2p(2)3P.3d 4F 3/2 2 409 325 2 409 112 2 411 067 2 407 672
90 2p(2)3P.3d 4F 5/2 2 410 664 2 410 471 2 412 429 2 409 134
91 2p(2)1D.3p 2F 5/2 2 412 504 2 412 050 2 412 367 2 419 039
92 2p(2)3P.3d 4F 7/2 2 412 609 2 412 429 2 414 392 2 411 263
93 2p(2)1D.3p 2F 7/2 2 413 820 2 413 600 2 413 377 2 413 680 2 413 600 2 420 301
94 2p(2)3P.3d 4F 9/2 2 415 202 2 414 998 2 416 965 2 414 141
95 2p(2)3P.3d 4D 3/2 2 424 678 2 424 574 2 426 350 2 425 542
96 2p(2)3P.3d 4D 1/2 2 425 065 2 424 952 2 426 942 2 422 738
97 2p(2)3P.3d 4D 5/2 2 426 345 2 426 235 2 428 068 2 424 680
98 2p(2)3P.3d 4D 7/2 2 427 276 2 427 159 2 429 055 2 425 920
99 2p(2)3P.3d 2P 3/2 2 427 770 2 427 682 2 429 484 2 422 259
100 2p(2)3P.3d 2F 5/2 2 430 387 2 430 062 2 431 338 2 432 909
101 2p(2)3P.3d 2P 1/2 2 431 387 2 431 332 2 432 949 2 428 981
102 2p(2)1D.3p 2D 5/2 2 435 354 2 435 260 2 434 828 2 435 504 2 443 217
103 2p(2)3P.3d 2F 7/2 2 435 482 2 435 133 2 436 409 2 438 137
104 2p(2)1D.3p 2D 3/2 2 435 574 2 435 480 2 435 048 2 435 713 2 443 314
105 2p(2)3P.3d 4P 5/2 2 444 419 2 444 460 2 444 609 2 445 954 2 444 423 2 441 588
106 2p(2)3P.3d 4P 3/2 2 446 095 2 446 000 2 446 301 2 447 629 2 445 960 2 443 294
107 2p(2)3P.3d 4P 1/2 2 446 963 2 446 877 2 447 178 2 448 486 2 444 190
108 2p(2)1D.3p 2P 1/2 2 451 503 2 451 115 2 451 452 2 463 812
109 2p(2)1D.3p 2P 3/2 2 454 522 2 454 082 2 454 523 2 466 801
110 2p(2)1S.3s 2S 1/2 2 455 499 2 455 285 2 455 530 2 461 840
111 2p(2)1D.3d 2G 7/2 2 473 069 2 471 997 2 472 992 2 480 185
112 2p(2)1D.3d 2G 9/2 2 473 575 2 472 482 2 473 462 2 480 747
113 2p(2)3P.3d 2D 5/2 2 474 296 2 474 527 2 474 914 2 479 335
114 2p(2)3P.3d 2D 3/2 2 474 302 2 474 666 2 474 912 2 479 261
115 2p(2)1D.3d 2D 3/2 2 492 078 2 491 801 2 492 746 2 496 240
116 2p(2)1D.3d 2D 5/2 2 492 500 2 492 517 2 492 077 2 498 177
117 2p(2)1D.3d 2F 7/2 2 493 331 2 493 453 2 492 206 2 502 927
118 2p(2)1D.3d 2F 5/2 2 496 155 2 496 068 2 496 126 2 504 448
119 2p(2)1D.3d 2P 1/2 2 509 755 2 509 581 2 510 578 2 518 769
120 2p(2)1D.3d 2P 3/2 2 511 607 2 511 513 2 512 459 2 520 593

Notes. The labels of the table are values from the following sources: E(RCI) this work, E(EXP) experimental energies by Vilkas et al. (2005), E(MRMP) relativistic multireference Möller-Plesset many-body perturbation calculations by Vilkas et al. (2005), E(RMBPT) relativistic many-body perturbation calculations by Safronova et al. (1996, 1998), E(CHIexp) experimental energies from the Chianti database by Landi et al. (2012), E(CHIcalc) theoretical results from the Chianti database based on the calculations by Liang et al. (2009), and E(MBPT) many-body perturbation calculations by Merkelis et al. (1995). There seems to be an inconsistency in the labeling of states 58 and 61 between the current calculations and the work by Vilkas et al. (2005).

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