Table A.1
Energy levels and lifetimes from ab initio and fine–tuning calculations.
| E (cm−1) | ab initio | Fine–tuned | |||||||
|---|---|---|---|---|---|---|---|---|---|
| No. | Configuration | State | ab initio | fine–tuned | NIST ASD | τB (s) | τC (s) | τB (s) | τC (s) |
| 1 | 3p4 | 3P2 | 0.00 | 0.00 | 0.0000 | ||||
| 2 | 3p4 | 3P1 | 388.63 | 395.37 | 396.0565 | ||||
| 3 | 3p4 | 3P0 | 563.86 | 572.33 | 573.5957 | ||||
| 4 | 3p4 | 1D2 | 9423.71 | 9258.76 | 9238.6090 | ||||
| 5 | 3p4 | 1S0 | 22798.74 | 22276.12 | 22179.9542 | ||||
| 6 | 3p3(4S)4s | ![Mathematical equation: $\[^{5} \mathrm{S}_{2}^\mathrm{o}\]$](/articles/aa/full_html/2026/03/aa57067-25/aa57067-25-eq42.png) |
52206.08 | 52586.28 | 52623.6050 | 1.389E–05 | 1.444E–05 | 1.351E–05 | 1.404E–05 |
| 7 | 3p3(4S)4s | ![Mathematical equation: $\[^{3} \mathrm{S}_{1}^\mathrm{o}\]$](/articles/aa/full_html/2026/03/aa57067-25/aa57067-25-eq43.png) |
54980.58 | 55302.32 | 55330.7750 | 1.931E–09 | 1.964E–09 | 1.944E–09 | 1.985E–09 |
| 8 | 3p3(4S)4p | 5P1 | 62952.47 | 63405.52 | 63446.0380 | 3.605E–08 | 3.567E–08 | 3.616E–08 | 3.606E–08 |
| 9 | 3p3(4S)4p | 5P2 | 62963.20 | 63416.88 | 63457.1166 | 3.595E–08 | 3.558E–08 | 3.606E–08 | 3.596E–08 |
| 10 | 3p3(4S)4p | 5P3 | 62980.48 | 63434.97 | 63475.0270 | 3.577E–08 | 3.540E–08 | 3.588E-08 | 3.579E–08 |
| − | − | − | − | − | − | − | − | − | − |
Notes. Energy levels are given relative to the ground state and are compared with the NIST ASD data (Kramida et al. 2024) that originates from Civiš et al. (2024). The lifetimes are given in Babushkin (τB) and Coulomb (τC) gauges, respectively. The excitation energies for No. 94 and 95 are not available in the NIST ASD. Considering the close degeneracies in these states, we used the energy value of No. 96 (3p3(4S)7p 5P3) as the energies for No. 94 and 95 in the fine-tuning procedure. Full table is available at the CDS.
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