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Table 3

Comparison of experimental and theoretical radiative lifetimes (in units of nanosecond) for S I.

Theory
 Experiment
ab initio Fine-tuned B-splinea HFRb CIc MCHFd laboratory astronomical
No. State B/C B/C B/C B/C measurements observationsf
7 3p3(4S)4s 3S1 1.93/1.96 1.94/1.99 1.93/1.98 1.5 1.94/2.05 2.04 1.875(0.094)g 1.875(0.188)
27 3p3(4S)5s 3S1 6.88/7.01 6.83/6.95 6.87/6.97 4.2 5.92/6.63 7.1(0.5)e 6.9(1.4)
54 3p3(4S)6s 3S1 16.80/17.20 16.77/17.14 17.0/17.2 9.7 13.72/18.00 17.7(1.1)e 16.9(3.4)
90 3p3(4S)7s 3S1 34.16/35.38 33.90/35.38 34.5/34.9 18.8 35.6(4.0)e 31.0(8.4)
6 3p3(4S)4s 5S2 13 893/14 439 13 510/14 043 17 615/19 771 18 691/25 138 39 037 9200(1000)i
27 000(5000)j
22 3p3(2D)4s 1D2 2.23/2.27 2.23/2.27 2.23/2.24 1.7 2.26/2.34 2.30
55 3p3(2P)4s 3P0 2.25/2.29 2.25/2.29 2.22/2.25 3.0 2.29/2.39
56 3p3(2P)4s 3P1 2.24/2.28 2.24/2.28 2.21/2.24 2.9 2.30/2.40 2.034(0.102)g 2.1(0.2)
57 3p3(2P)4s 3P2 2.22/2.26 2.22/2.26 2.20/2.22 2.8 2.35/2.46 2.146(0.129)g 2.1(0.2)
12 3p3(4S)4p 3P0 45.12/43.72 45.15/44.80 46.3/45.4 36.1 44.05/43.67 49.5 46.1(1.0)e
11 3p3(4S)4p 3P1 45.14/43.74 45.17/44.82 46.3/45.4 36.1 44.04/43.66 49.4 46.1(1.0)e
13 3p3(4S)4p 3P2 45.10/43.69 45.12/44.78 46.3/45.4 36.0 44.03/43.65 49.3 46.1(1.0)e
91 3p3(2D)4p 3P2 58.49/58.48 58.25/59.46 53.6/53.8 63.0 36.07/32.96 53.5(4)i
34 3p3(4S)5p 3P2 179.06/173.11 179.14/178.85 184/186 131.9 141.98/181.15 188(13)e
185(15)i
33 3p3(4S)5p 5P3 156.05/149.48 155.78/153.94 158/159 130.1 151.49/156.49 615(50)i
60 3p3(4S)6p 5P3 352.19/329.68 351.23/346.94 352/350 289.9 481.87/389.08 265(20)i
96 3p3(4S)7p 5P3 596.11/621.01 601.79/673.21 631/624 549.8 415(25)i
23 3p3(4S)3d3D1 3.44/3.61 3.52/3.67 3.69/3.77 1.9 4.58/5.11 2.62
24 3p3(4S)3d3D2 3.44/3.60 3.52/3.66 3.68/3.77 1.9 4.45/4.97 2.61 3.0(0.6)
25 3p3(4S)3d3D3 3.42/3.58 3.50/3.64 3.67/3.75 1.9 4.59/5.16 2.59
42 3p3(4S)4d3D1 11.87/12.36 11.97/12.48 12.1/12.6 6.0 6.27/7.09 12.6(1.3)e
43 3p3(4S)4d3D2 11.85/12.34 11.96/12.46 12.1/12.6 6.0 6.49/7.43 12.5(0.7)e 9.6(1.9)
44 3p3(4S)4d3D3 11.73/12.21 11.84/12.34 12.0/12.5 5.9 6.18/7.02 12.9(1.1)e
80 3p3(4S)5d 3D1 37.18/38.84 38.38/39.73 36.0/37.8 10.1 41(3)e
78 3p3(4S)5d 3D2 37.68/39.34 38.76/40.09 36.3/38.1 10.0 37(7.5)
79 3p3(4S)5d 3D3 37.75/39.39 38.80/40.18 36.6/38.4 9.9 40(4)e
97 3p3(4S)6d 5D4 266.27/269.21 264.35/251.99 165/163 593.1 260(20)i
107 3p3(4S)6d 3D1 134.65/135.55 141.41/141.03 108/115 16.0
106 3p3(4S)6d 3D2 138.30/139.29 145.68/145.13 112/118 15.9 75(7)b 199(90)
105 3p3(4S)6d 3D3 142.01/143.06 150.12/149.33 116/123 15.8

Notes. B/C: Babushkin and Coulomb gauges. The values in the parentheses of the last two columns are the experimental errors. (a)B-spline method by Zatsarinny & Bartschat (2006). (b)Relativistic Hartree–Fock calculation by Biémont et al. (1998). (c)Configuration interaction calculation by Deb & Hibbert (2008). (d)Multi-configurational Hartree-Fock calculation by Froese Fischer et al. (2006). (e)Laser spectroscopy by Berzinsh et al. (1997) and Zerne et al. (1997). (f)Lifetime data excerpted from Zatsarinny & Bartschat (2006) and original from Federman & Cardelli (1995); Federman & Cardelli (1996). (g)Beam-foil technique by Beideck et al. (1994). (i)High-frequency deflection technique by Delalic et al. (1990). (j)Electron-impact dissociation method by Mason (1994).

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