Calculation of the Rydberg Energy Levels for Francium Atom

Table 2

Comparison of the calculated and measured values of 𝑛𝑠 ²S_1/2 (𝑛=8-50) energy levels series for francium atoms.

𝑛	𝑇cal	𝑇exp	Diff.	𝛿cal	n	𝑇cal	𝑇exp	Diff.	𝛿cal
8	19739.98	19739.98	0.00	5.10670	30	32672.29	32672.29	0.00	5.07131
9	25671.00	25671.00	0.00	5.08998	31	32685.64			5.07128
10	28310.617	28310.617	0.00	5.08263	32	32697.54			5.07125
11	29718.909	29718.909	0.000	5.07883	33	32708.19			5.07122
12	30559.490	30559.504	0.014	5.07662	34	32717.74			5.07120
13	31101.518	31101.539	0.022	5.07523	35	32726.36			5.07117
14	31471.443	31471.465	0.024	5.07429	36	32734.16			5.07115
15	31735.158	31735.182	0.021	5.07363	37	32741.23			5.07114
16	31929.768	31929.789	0.014	5.07315	38	32747.67			5.07112
17	32077.478	32077.492	0.016	5.07279	39	32753.55			5.07110
18	32192.235	32192.251	0.018	5.07250	40	32758.93			5.07109
19	32283.162	32283.180	0.016	5.07228	41	32763.86			5.07108
20	32356.428	32356.444	0.011	5.07210	42	32768.40			5.07107
21	32416.329	32416.340	0.008	5.07195	43	32772.59			5.07106
22	32465.929	32465.937	0.010	5.07183	44	32776.46			5.07104
23	32507.46	32507.47	0.00	5.07173	45	32780.04			5.07104
24	32542.59	32542.59	0.00	5.07164	46	32783.36			5.07103
25	32572.55	32572.56	0.01	5.07156	47	32786.45			5.07102
26	32598.33	32598.34	0.01	5.07150	48	32789.33			5.07101
27	32620.66	32620.67	0.01	5.07144	49	32792.01			5.07100
28	32640.14	32640.14	0.00	5.07139	50	32794.51			5.07100
29	32657.22	32657.22	0.00	5.07135