Table 1.
Open in new tab

Rb2+ energy levels in Rydbergs (Ry) from the large-scale grasp calculations compared with the available tabulations from the NIST data base (Kramida et al. 2018). A sample of the lowest 13 levels for the residual Rb2+ ion from the 456-level grasp calculations are shown compared to experiment. The percentage difference Δ(per cent) compared to experiment individual energy levels is given for completeness.

LevelSTATETERMNIST (Ry)GRASP (Ry)Δ(per cent)a
14s24p5|$\rm ^2P^o_{3/2}$|0.000 000.000 000.0
24s24p5|$\rm ^2P^o_{1/2}$|0.067 200.066 780.6
34s4p6|$\rm ^2S_{1/2}$|1.184 941.222 873.2
44s24p4(3P)4d|$\rm ^4D_{7/2}$|1.409 921.444 462.5
54s24p4(3P)4d|$\rm ^4D_{5/2}$|1.411 351.446 802.5
64s24p4(3P)4d|$\rm ^4D_{3/2}$|1.417 611.453 682.5
74s24p4(3P)4d|$\rm ^4D_{1/2}$|1.425 161.461 402.5
84s24p4(3P)4d|$\rm ^4F_{9/2}$|1.484 621.536 503.5
94s24p4(3P)4d|$\rm ^4F_{7/2}$|1.508 531.563 353.6
104s24p4(3P)4d|$\rm ^4F_{5/2}$|1.529 291.581 923.4
114s24p4(3P)4d|$\rm ^4F_{3/2}$|1.537 771.590 503.4
124s24p4(1P)4d|$\rm ^2P_{1/2}$|1.513 511.592 185.2
134s24p4(1P)4d|$\rm ^2D_{3/2}$|1.567 761.620 833.4
LevelSTATETERMNIST (Ry)GRASP (Ry)Δ(per cent)a
14s24p5|$\rm ^2P^o_{3/2}$|0.000 000.000 000.0
24s24p5|$\rm ^2P^o_{1/2}$|0.067 200.066 780.6
34s4p6|$\rm ^2S_{1/2}$|1.184 941.222 873.2
44s24p4(3P)4d|$\rm ^4D_{7/2}$|1.409 921.444 462.5
54s24p4(3P)4d|$\rm ^4D_{5/2}$|1.411 351.446 802.5
64s24p4(3P)4d|$\rm ^4D_{3/2}$|1.417 611.453 682.5
74s24p4(3P)4d|$\rm ^4D_{1/2}$|1.425 161.461 402.5
84s24p4(3P)4d|$\rm ^4F_{9/2}$|1.484 621.536 503.5
94s24p4(3P)4d|$\rm ^4F_{7/2}$|1.508 531.563 353.6
104s24p4(3P)4d|$\rm ^4F_{5/2}$|1.529 291.581 923.4
114s24p4(3P)4d|$\rm ^4F_{3/2}$|1.537 771.590 503.4
124s24p4(1P)4d|$\rm ^2P_{1/2}$|1.513 511.592 185.2
134s24p4(1P)4d|$\rm ^2D_{3/2}$|1.567 761.620 833.4

aAbsolute percentage difference, Δ(per cent), between theoretical and experimental energy levels for the Rb iii ion. The average Δ(per cent) of the energy levels with experiment is ≈3 per cent.

Table 1.
Open in new tab

Rb2+ energy levels in Rydbergs (Ry) from the large-scale grasp calculations compared with the available tabulations from the NIST data base (Kramida et al. 2018). A sample of the lowest 13 levels for the residual Rb2+ ion from the 456-level grasp calculations are shown compared to experiment. The percentage difference Δ(per cent) compared to experiment individual energy levels is given for completeness.

LevelSTATETERMNIST (Ry)GRASP (Ry)Δ(per cent)a
14s24p5|$\rm ^2P^o_{3/2}$|0.000 000.000 000.0
24s24p5|$\rm ^2P^o_{1/2}$|0.067 200.066 780.6
34s4p6|$\rm ^2S_{1/2}$|1.184 941.222 873.2
44s24p4(3P)4d|$\rm ^4D_{7/2}$|1.409 921.444 462.5
54s24p4(3P)4d|$\rm ^4D_{5/2}$|1.411 351.446 802.5
64s24p4(3P)4d|$\rm ^4D_{3/2}$|1.417 611.453 682.5
74s24p4(3P)4d|$\rm ^4D_{1/2}$|1.425 161.461 402.5
84s24p4(3P)4d|$\rm ^4F_{9/2}$|1.484 621.536 503.5
94s24p4(3P)4d|$\rm ^4F_{7/2}$|1.508 531.563 353.6
104s24p4(3P)4d|$\rm ^4F_{5/2}$|1.529 291.581 923.4
114s24p4(3P)4d|$\rm ^4F_{3/2}$|1.537 771.590 503.4
124s24p4(1P)4d|$\rm ^2P_{1/2}$|1.513 511.592 185.2
134s24p4(1P)4d|$\rm ^2D_{3/2}$|1.567 761.620 833.4
LevelSTATETERMNIST (Ry)GRASP (Ry)Δ(per cent)a
14s24p5|$\rm ^2P^o_{3/2}$|0.000 000.000 000.0
24s24p5|$\rm ^2P^o_{1/2}$|0.067 200.066 780.6
34s4p6|$\rm ^2S_{1/2}$|1.184 941.222 873.2
44s24p4(3P)4d|$\rm ^4D_{7/2}$|1.409 921.444 462.5
54s24p4(3P)4d|$\rm ^4D_{5/2}$|1.411 351.446 802.5
64s24p4(3P)4d|$\rm ^4D_{3/2}$|1.417 611.453 682.5
74s24p4(3P)4d|$\rm ^4D_{1/2}$|1.425 161.461 402.5
84s24p4(3P)4d|$\rm ^4F_{9/2}$|1.484 621.536 503.5
94s24p4(3P)4d|$\rm ^4F_{7/2}$|1.508 531.563 353.6
104s24p4(3P)4d|$\rm ^4F_{5/2}$|1.529 291.581 923.4
114s24p4(3P)4d|$\rm ^4F_{3/2}$|1.537 771.590 503.4
124s24p4(1P)4d|$\rm ^2P_{1/2}$|1.513 511.592 185.2
134s24p4(1P)4d|$\rm ^2D_{3/2}$|1.567 761.620 833.4

aAbsolute percentage difference, Δ(per cent), between theoretical and experimental energy levels for the Rb iii ion. The average Δ(per cent) of the energy levels with experiment is ≈3 per cent.

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