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Table A.1.

Atomic state function composition (up to three LS components with a contribution > 0.02 of the total wave function) in LS-coupling, energy levels (in cm−1), and lifetimes (in s; given in length (τl) and velocity (τv) gauges) for Zr III.

No. State LS-composition ERCI ENIST τl τv
1 0.92 0 0
2 0.93 666 682 1.33e+02 1.33e+02
3 0.93 1 457 1 486 9.98e+01 9.98e+01
4 0.82 + 0.06 4d5s 1D + 0.03 5 949 5 743 1.12e+01 1.12e+01
5 0.92 8 262 8 064 2.64e+01 2.95e+01
6 0.92 8 518 8 327 2.12e+01 2.29e+01
7 0.89 + 0.03 9 021 8 840 1.43e+01 1.49e+01
8 0.92 11 447 11 051 1.05e+01 1.05e+01
9 4d5s 3D1 0.94 18 383 18 401 2.42e−01 2.63e−01
10 4d5s 3D2 0.93 18 784 18 805 2.39e−01 2.61e−01
11 4d5s 3D3 0.94 19 502 19 536 2.33e−01 2.53e−01
12 0.83 + 0.06 5s21S + 0.03 4d5d 1S 24 694 23 979 1.94e−01 2.13e−01
13 4d5s 1D2 0.86 + 0.06 25 261 25 068 2.82e−01 3.06e−01
14 5s2 1S0 0.84 + 0.06 + 0.04 48 570 48 507 1.63e−02 1.65e−02
15 0.68 + 0.24 4d5p 3F° 53 651 53 649 1.86e−09 1.82e−09
16 0.65 + 0.25 4d5p 1D° + 0.03 4d5p 3D° 55 553 55 558 1.88e−09 1.83e−09
17 0.90 + 0.02 4d5p 1P° 55 676 55 616 1.13e−09 1.12e−09
18 0.86 + 0.08 4d5p 3D° 56 087 56 077 1.88e−09 1.83e−09
19 0.88 + 0.05 4d5p 3F° 56 465 56 438 1.12e−09 1.11e−09
20 0.85 + 0.08 4d5p 3F° 57 359 57 349 1.11e−09 1.10e−09
21 0.94 57 649 57 684 1.88e−09 1.82e−09
22 0.78 + 0.11 4d5p 1P° + 0.02 4d5p 3D° 59 771 59 699 1.54e−09 1.52e−09
23 0.92 59 985 59 948 1.48e−09 1.46e−09
24 0.90 60 401 60 358 1.47e−09 1.45e−09
25 0.74 + 0.13 4d5p 3P° + 0.06 5s5p 1P° 62 288 62 117 1.94e−09 1.92e−09
26 0.91 62 967 62 591 1.07e−09 1.06e−09
27 0.92 79 317 79 440 1.22e−09 1.22e−09
28 0.92 79 974 80 107 1.22e−09 1.22e−09
29 0.92 81 389 81 558 1.22e−09 1.23e−09
30 0.80 + 0.05 4d5p 1P° + 0.03 4d4f 1P° 99 580 98 763 3.77e−10 3.79e−10
31 4d5d 1F3 0.78 + 0.09 4d5d 3D + 0.06 4d5d 3G 102 932 103 585 1.03e−09 1.06e−09
32 4d5d 3D1 0.70 + 0.16 4d6s 3D + 0.07 4d5d 1P 103 093 103 725 1.02e−09 1.06e−09
33 4d5d 3D2 0.72 + 0.19 4d6s 3D 103 477 104 111 1.04e−09 1.07e−09
34 4d5d 3G3 0.51 + 0.37 4d5d 3D + 0.06 4d6s 3D 104 001 104 637 1.01e−09 1.04e−09
35 4d5d 3D3 0.35 + 0.37 4d5d 3G + 0.15 4d5d 1F 104 237 104 883 1.03e−09 1.06e−09
36 4d6s 3D1 0.65 + 0.23 4d5d 1P + 0.05 4d5d 3D 104 426 105 012 1.12e−09 1.15e−09
37 4d5d 3G4 0.93 104 559 105 193 1.00e−09 1.03e−09
38 4d6s 3D2 0.54 + 0.20 4d5d 3D + 0.19 4d6s 1D 104 747 105 326 1.13e−09 1.15e−09
39 4d5d 1P1 0.57 + 0.18 4d5d 3D + 0.13 4d6s 3D 104 935 105 555 1.12e−09 1.16e−09
40 4d5d 3G5 0.94 105 325 105 970 1.02e−09 1.04e−09
41 4d6s 3D3 0.80 + 0.13 4d5d 3D 105 714 106 306 1.13e−09 1.16e−09
42 4d6s 1D2 0.64 + 0.20 4d6s 3D + 0.07 4d5d 1D 105 928 106 504 1.09e−09 1.11e−09
43 4d5d 3S1 0.85 + 0.07 4d5d 1P 106 423 106 986 1.07e−09 1.11e−09
44 4d5d 3F2 0.88 + 0.03 4d6s 1D + 0.02 4d5d 1D 106 664 107 257 9.39e−10 9.52e−10
45 4d5d 3F3 0.92 107 219 107 824 9.35e−10 9.49e−10
46 4d5d 3F4 0.92 107 711 108 319 9.52e−10 9.66e−10
47 4d5d 3P0 0.87 + 0.04 + 0.02 4d5d 1S 108 657 109 212 1.43e−09 1.41e−09
48 4d5d 1D2 0.57 + 0.26 4d5d 3P + 0.05 4d6s 1D 108 718 109 273 1.19e−09 1.18e−09
49 4d5d 3P1 0.87 + 0.04 + 0.02 4d5d 3S 109 034 109 603 1.39e−09 1.37e−09
50 4d5d 3P2 0.63 + 0.25 4d5d 1D + 0.02 109 567 110 139 1.29e−09 1.29e−09
51 4d5d 1G4 0.91 110 166 110 631 1.14e−09 1.14e−09
52 4d5d 1S0 0.85 + 0.03 + 0.03 4d5d 3P 113 171 113 551 1.47e−09 1.40e−09
53 0.51 + 0.27 4d6p 3F° + 0.12 4d6p 3D° 117 113 117 612 6.41e−09 7.15e−09
54 0.88 + 0.03 4d6p 1P° + 0.02 4d4f 3D° 117 330 117 801 4.23e−09 4.56e−09
55 0.47 + 0.44 4d6p 3F° + 0.02 4d6p 1D° 117 818 118 814 5.02e−09 5.45e−09
56 0.21 + 0.34 4d6p 1D° + 0.32 4d6p 3D° 118 309 118 328 5.77e−09 6.31e−09
57 0.70 + 0.15 4d6p 3D° + 0.07 4d6p 1F° 118 330 118 849 5.43e−09 5.90e−09
58 0.68 + 0.18 4d6p 3F° + 0.03 4d4f 3D° 118 527 119 025 4.36e−09 4.65e−09
59 0.72 + 0.14 4d6p 1P° + 0.04 4d4f 3P° 118 988 6.88e−09 7.05e−09
60 0.91 + 0.04 4d4f 3P° 119 058 8.12e−09 8.39e−09
61 0.78 + 0.09 4d4f 3F° + 0.07 4d4f 1G° 119 316 119 796 4.82e−09 4.87e−09
62 0.69 + 0.11 4d6p 3F° + 0.08 4d4f 3H° 119 624 119 976 1.35e−09 1.32e−09
63 0.82 + 0.07 4d4f 3P° + 0.05 4d6p 1D° 119 831 120 371 8.27e−09 8.42e−09
64 0.70 + 0.11 4d4f 1F° + 0.08 4d6p 3D° 119 882 120 326 1.81e−09 1.90e−09
65 0.82 + 0.09 4d4f 1D° 120 213 120 562 6.72e−10 6.62e−10
66 0.78 + 0.07 4d4f 3F° + 0.06 4d4f 3G° 120 313 120 665 2.26e−09 2.18e−09
67 0.79 + 0.07 4d4f 3G° + 0.04 4d6p 3F° 120 439 120 794 6.22e−10 6.14e−10
68 0.59 + 0.18 4d6p 3P° + 0.14 4d4f 1P° 120 545 121 006 3.90e−09 3.90e−09
69 0.89 + 0.03 4d4f 3G° 120 670 121 022 3.48e−09 3.29e−09
70 0.70 + 0.14 4d4f 1G° + 0.05 4d4f 3H° 120 942 121 281 7.67e−10 7.56e−10
71 0.94 121 368 121 717 1.09e−08 9.50e−09
72 0.80 + 0.05 4d4f 1F° + 0.04 4d4f 3F° 121 580 122 020 2.98e−10 2.93e−10
73 0.78 + 0.08 4d4f 3F° + 0.03 4d4f 3P° 121 675 122 088 5.52e−10 5.43e−10
74 0.84 + 0.06 4d4f 3F° + 0.02 4d4f 3H° 122 149 122 610 2.99e−10 2.95e−10
75 0.90 + 0.04 4d4f 3H° 122 417 122 896 2.86e−10 2.82e−10
76 0.82 + 0.08 4d4f 3P° 122 838 123 341 3.93e−10 3.84e−10
77 0.50 + 0.29 4d4f 1F° + 0.05 4d4f 3G° 122 876 123 966 3.75e−10 3.67e−10
78 0.71 + 0.14 4d4f 3P° + 0.03 4d4f 1D° 122 889 123 405 4.05e−10 3.96e−10
79 0.48 + 0.37 4d4f 3D° + 0.05 4d6p 1F° 123 529 123 310 3.64e−10 3.56e−10
80 0.69 + 0.18 4d4f 3D° + 0.05 4d6p 3P° 123 947 124 468 4.52e−10 4.43e−10
81 0.81 + 0.09 4d4f 3D° + 0.04 4d6p 3P° 124 168 124 687 4.63e−10 4.53e−10
82 0.90 + 0.04 4d6p 3P° 124 313 124 835 4.75e−10 4.64e−10
83 0.92 125 055 125 439 2.72e−10 2.63e−10
84 0.87 + 0.04 4d5d 3P 125 971 125 996 3.64e−10 3.67e−10
85 0.55 + 0.18 5s5d 1D + 0.17 126 488 126 561 6.75e−10 6.81e−10
86 0.88 + 0.04 4d5d 3P 126 803 126 854 3.59e−10 3.62e−10
87 0.72 + 0.14 4d6p 1P° + 0.03 5s5p 1P° 126 865 126 841 4.73e−10 4.55e−10
88 0.71 + 0.12 + 0.05 5s5d 1D 128 513 128 600 4.01e−10 4.05e−10

Notes. Energy levels are given relative to the ground state. The states 35 and 56 are indicated in bold. The labels for these levels were not assigned by the largest contribution to the composition.

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