Zeeman effect and revised analysis of singly ionized rubidium (Rb ii)

Joseph Reader; Gabriel Epstein

doi:10.1364/JOSA.63.001153

Journal of the Optical Society of America
Vol. 63,
Issue 9,
pp. 1153-1167
(1973)
•https://doi.org/10.1364/JOSA.63.001153

Zeeman effect and revised analysis of singly ionized rubidium (Rb ii)

Joseph Reader and Gabriel Epstein

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Joseph Reader and Gabriel Epstein, "Zeeman effect and revised analysis of singly ionized rubidium (Rb ii)," J. Opt. Soc. Am. 63, 1153-1167 (1973)

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Abstract

The spectrum of Rb ii has been observed in a sliding-spark discharge with the NBS 10.7-m normal-incidence vacuum spectrograph and in an electrodeless discharge with the NBS 10.7-m Eagle spectrograph in air. The Zeeman effect was observed from 2200 to 5200 Å with an electrodeless lamp in a magnetic field of 31 000 G. The analysis has confirmed all ten of the previously known levels of the 4p⁵5p configuration. The 4p⁵4d, 4p⁵5s, 4p⁵5d, and 4p⁵6s configurations have been considerably revised and extended. Almost all levels of these configurations are now known, as well as those of 4p⁵6d, 4p⁵7s, and 4p⁵4f, which were newly located. All configurations have been theoretically interpreted, with configuration interaction included. The energy parameters determined from a least-squares fit to the observed level values are compared with Hartree–Fock calculations. The ionization energy as derived from the 4p⁵ns series, n = 5, 6, 7, is 220 070±25 cm⁻¹ (2.7.285±0.003 eV).

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Configuration	Term	J	E (cm⁻¹)	g value
4p⁶	¹S	0	0.0 ± 1.0
P⁵5s	3/2[3/2]°	2	133 341.37	1.500
	3/2[3/2]°	1	134 869.53	1.284
	1/2[1/2]°	0	138 794.17
	1/2[1/2]°	1	140 609.83	1.292
4p⁵4d	³P°	0	143 022.14
	³P°	1	143 461.77	1.406
	³P°	2	143 955.66	1.466
	³F°	3	146 834.38^a	1.08
	³F°	2	148 688.47^a	0.77
	³D°	3	151 878.71^a	1.18
	¹D°	2	155 065.27^a	0.92
	³D°	1	155 310.59^a	0.55
	³D°	2	156 563.35^a	1.15
	¹F°	3	157 138.60^a	1.14
	¹P°	1	169 660.33^a	1.00
4p⁵5p	3/2[1/2]	1	154 273.74	1.924
	3/2[5/2]	2	156 736.77	1.123
	3/2[5/2]	3	156 895.23	1.336
	3/2[3/2]	1	158 151.44	0.981
	3/2[3/2]	2	158 711.62	1.360
	3/2[1/2]	0	161 199.96
	1/2[3/2]	1	163 924.38	0.687
	1/2[3/2]	2	164 967.77	1.191
	1/2[1/2]	1	165 089.37	1.431
	1/2[1/2]	0	167 632.25
4p⁵6s	3/2[3/2]°	2	179 734.90	1.497
	3/2[3/2]°	1	180 168.14	1.195
	1/2[1/2]°	0	187 139.82
	1/2[1/2]°	1	187 335.50	1.321
4p⁵5d	3/2[1/2]°	0	183 737.41
	3/2[1/2]°	1	184 200.31	1.381
	3/2[7/2]°	4	184 660.13	1.2
	3/2[3/2]°	2	184 836.68	1.355
	3/2[7/2]°	3	185 126.53	1.081
	3/2[5/2]°	2	185 617.67	0.959
	3/2[5/2]°	3	186 005.93	1.211
	3/2[3/2]°	1	188 617.52	0.723
	1/2[5/2]°	2	192 232.38	0.804
	1/2[3/2]°	2	192 375.61	1.225
	1/2[5/2]°	3	192 732.98	1.11
	1/2[3/2]°	1	194 830.53	0.912
4p⁵4f	3/2[3/2]	1	191 722.52^a	0.50
	3/2[3/2]	2	191 782.73^a	1.12
	3/2[9/2]	4	191 924.63^a	1.04
	3/2[5/2]	3	192 112.94^a	1.20
	3/2[5/2]	2	192 176.04^a	0.86
	3/2[7/2]	3	192 310.63^a	0.97
	3/2[7/2]	4	192 316.31^a	1.18
	1/2[5/2]	3	199 406.31^a	1.17
	1/2[7/2]	3	199 413.31^a	0.87
	1/2[7/2]	4	199 422.06^a	1.11
	1/2[5/2]	2	199 467.84^a	0.88
4p⁵7s	3/2[3/2]°	2	196 499.24	1.50
	3/2[3/2]°	1	196 682.06	1.18
	1/2[1/2]°	0	203 859.34
	1/2[1/2]°	1	203 937.87	1.332
4p⁵6d	3/2[1/2]°	0	198 438.62
	3/2[1/2]°	1	198 691.66	1.31
	3/2[7/2]°	4	198 805.20	1.28
	3/2[3/2]°	2	198 948.18	1.33
	3/2[7/2]°	3	199 019.44	1.10
	3/2[5/2]°	2	199 220.81	0.98
	3/2[5/2]°	3	199 363.94	1.24
	3/2[3/2]°	1	201 033.36	0.848
	1/2[3/2]°	1	207 849.41
4p⁵8s	3/2[3/2]°	1	204 694.7?
4p⁵8d	3/2[3/2]°	1	210 581.8?
4p⁵7d	1/2[3/2]°	1	214 522.4?

Configuration	Parameter	HF	Fitted	Fitted/HF
4p⁵4d	E_av	146 742	150 976 ± 52
	F²(4p4d)	31 322	27 506 ± 508	0.878 ± 0.016
	G¹(4p4d)	34 420	19 176 ± 156	0.557 ± 0.005
	G³(4p4d)	20 526	17 791 ± 699	0.867 ± 0.034
	ζ₄_p	4295	4 565 ± 120	1.063 ± 0.028
	ζ₄_d	102	102^a
4p⁵5s	E_av	133 902	136 730 ± 98
	G¹(4p5s)	3 932	3 798 ± 469	0.97 ± 0.12
	ζ₄_p	4 387 (0.442)^b	4 722 ± 148	1.076 ± 0.034
Configuration	R²(4p4d,4p5s)	−9369 (−0.528)	−7388 ± 294	0.789 ± 0.032
interaction	R¹(4p4d,5s4p)	−2148 (−0.126)	−1694^c
4p⁵5d	E_av	179 595	187 933 ± 6
	F²(4p5d)	6 865	5 306 ± 75	0.773 ± 0.011
	G¹(4p5d)	6 826	6 279 ± 68	0.920 ± 0.010
	G³(4p5d)	4 225	3 598 ± 107	0.852 ± 0.025
	ζ₄_p	4 409	4 847 ± 9	1.099 ± 0.002
	ζ₅_d	26	24 ± 6	0.92 ± 0.23
4p⁵6s	E_av	175 008	182 370 ± 9
	G¹(4p6s)	1 070 (0.414)	1 001 ± 52	0.936 ± 0.049
	ζ₄_p	4 424	4 865 ± 17	1.100 ± 0.004
Configuration	R²(4p5d,4p6s)	−2 051 (−0.470)	−1857 ± 210	0.90 ± 0.10
interaction	R¹(4p5d,6s4p)	−260 (−0.064)	−235^d
4p⁵6d	E_av	192 797	201 605 ± 10
	F²(4p6d)	2 868	2 228 ± 83	0.777 ± 0.029
	G¹(4p6d)	2 797	2 974 ± 33	1.063 ± 0.012
	G³(4p6d)	1 755	1 365 ± 173	0.777 ± 0.099
	ζ₄_p	4 427	4 823^e	1.089
	ζ₆_d	12	11^f
4p⁵7s	E_av	189 602	199 024 ± 12
	G¹(4p7s)	464 (0.404)	388 ± 65	0.84 ± 0.14
	ζ₄_p	4 432	4 884 ± 14	1.102 ± 0.003
Configuration	R²(4p6d,4p7s)	−786 (−0.433)	−711^g
interaction	R¹(4p6d,7s4p)	−82 (−0.047)	−74^g
4p⁵5p	E_av	153 936	159 813 ± 16
	F²(4p5p)	9 245	9 275 ± 123	1.003 ± 0.013
	G⁰(4p5p)	1 703 (0.220)	1 624 ± 13	0.954 ± 0.008
	G²(4p5p)	2 216 (0.651)	2 425 ± 207	1.094 ± 0.093
	ζ₄_p	4 424	4 845 ± 23	1.095 ± 0.005
	ζ₅_p	305	501 ± 27	1.643 ± 0.089
4p⁵4f	E_av	186 889	194 512 ± 2
	F²(4p4f)	2 155	2 039 ± 22	0.946 ± 0.010
	G²(4p4f)	235	247 ± 19	1.051 ± 0.081
	G⁴(4p4f)	151	101 ± 40	0.67 ± 0.26
	ζ₄_p	4 438	4 900 ± 3	1.104 ± 0.001
	ζ₄_f	0.04	0^h

J	E (obs)	E (calc)	o — c	g (obs)	g (calc)	% J₁l	Percentage composition — LS
0	138 794	138 817	−23			52% 1/2[1/2]^*	52% ³P^* − 48% ³P
	143 022	143 000	22			52% 3/2[1/2]	52% ³P + 48% ³P^*
1	134 870	134 876	−6	1.284	1.289	91% 3/2[3/2]^*	53% ³P^* + 42% ¹P^* − 5% ³P
	140 610	140 601	9	1.292	1.280	49% 1/2[1/2]^*	43% ¹P^* + 41% ³P − 15% ³P^*
	143 462	143 466	−4	1.406	1.411	36% 3/2[1/2]	52% ³P + 31% ³P^* − 15% ¹P^*
	155 311	155 144	167	0.55	0.537	56% 3/2[3/2]	−94% ³D + 4% ¹P − 2% ³P
	169 660	169 667	−7	1.00	0.983	54% 1/2[3/2]	96% ¹P + 4% ³D
2	133 341	133 331	10	1.500	1.501	96% 3/2[3/2]^*	96% ³P^* − 4% ³P
	143 956	144 054	−98	1.466	1.470	74% 3/2[3/2]	89% ³P − 5% ³D + 4% ³P^*
	148 688	148 638	50	0.77	0.766	72% 3/2[5/2]	−75% ³F + 15% ¹D + 10% ³D
	155 065	155 190	−125	0.92	0.966	72% 1/2[5/2]	46% ¹D + 29% ³D + 25% ³F
	156 563	156 656	−93	1.15	1.132	77% 1/2[3/2]	56% ³D − 36% ¹D + 8% ³P
3	146 834	146 695	139	1.08	1.087	70% 3/2[7/2]	86% ³F + 9% ¹F − 4% ³D
	151 879	152 021	−142	1.18	1.187	78% 3/2[5/2]	56% ³D + 44% ¹F
	157 139	157 033	106	1.14	1.143	88% 1/2[5/2]	−47% ¹F + 39% ³D + 13% ³F
4		145 183			1.251	100% 3/2[7/2]	100% ³F

J	E (obs)	E (calc)	o — c	g (obs)	g (calc)	% J₁l	Percentage composition — LS
0	183 737	183 756	−19			98% 3/2[1/2]	98% ³P − 2% ³P^*
	187 140	187 151	−11			98% 1/2[1/2]^*	98% ³P^* + 2% ³P
1	180 168	180 176	−8	1.195	1.191	99% 3/2[3/2]^*	−62% ¹P^* − 38% ³P^*
	184 200	184 181	19	1.381	1.382	63% 3/2[1/2]	87% ³P − 11% ³D + 2% ¹P^*
	187 336	187 324	12	1.321	1.292	96% 1/2[1/2]^*	60% ³P^* − 35% ¹P^* − 3% ³D
	188 618	188 619	−1	0.723	0.709	55% 3/2[3/2]	−67% ³D + 22% ¹P − 8% ³P
	194 831^a	196 550	−1719^a	0.912	0.927	81% 1/2[3/2]	77% ¹P + 19% ³D + 4% ³P
2	179 735	179 728	7	1.497	1.501	99% 3/2[3/2]^*	99% ³P^*
	184 837	184 834	3	1.355	1.358	97% 3/2[3/2]	63% ³P − 23% ³D + 13% ¹D
	185 618	185 620	−2	0.959	0.946	99% 3/2[5/2]	43% ¹D − 30% ³F + 27% ³D
	192 232	192 222	10	0.804	0.783	99% 1/2[5/2]	70% ³F + 21% ¹D + 9% ³D
	192 376	192 389	−13	1.225	1.248	98% 1/2[3/2]	41% ³D + 36% ³P − 23% ¹D
3	185 127	185 136	−9	1.081	1.096	79% 3/2[7/2]	64% ³F + 23% ¹F − 13% ³D
	186 006	186 003	3	1.211	1.205	79% 3/2[5/2]	61% ³D + 39% ¹F
	192 733	192 731	2	1.11	1.116	99% 1/2[5/2]	−38% ¹F + 36% ³F + 26% ³D
4	184 660	184 658	2	1.2	1.251	100% 3/2[7/2]	100% ³F

J	E (obs)	E (calc)	o — c	g (obs)	g (calc)	% J₁l	Percentage composition — LS
0	198 439	198 467	−28			100% 3/2[1/2]	100% ³P
	203 859	203 851	8			100% 1/2[1/2]^*	100% ³P^*
1	196 682	196 681	1	1.18	1.176	100% 3/2[3/2]^*	−65% ¹P^* − 35% ³P^*
	198 692	198 660	32	1.31	1.337	61% 3/2[1/2]	83% ³P − 16% ³D
	201 033	201 024	9	0.848	0.787	59% 3/2[3/2]	−50% ³D + 43% ¹P − 7% ³P
	203 938	203 939	−1	1.332	1.326	100% 1/2[1/2]^*	−65% ³P^* + 35% ¹P^*
	207 849	207 857	−8		0.875	95% 1/2[3/2]	56% ¹P + 34% ³D + 9% ³P
2	196 499	196 506	−7	1.50	1.501	100% 3/2[3/2]^*	100% ³P^*
	198 948	198 925	23	1.33	1.328	99% 3/2[3/2]	56% ³P − 28% ³D + 16% ¹D
	199 221	199 235	−14	0.98	0.963	100% 3/2[5/2]	47% ¹D + 28% ³D − 25% ³F
		206 163			0.766	99% 1/2[5/2]	−74% ³F − 19% ¹D − 6% ³D
		206 211			1.277	98% 1/2[3/2]	43% ³P + 37% ³D − 18% ¹D
3	199 019	199 018	1	1.10	1.088	83% 3/2[7/2]	59% ³F + 30% ¹F − 12% ³D
	199 364	199 366	−2	1.24	1.216	83% 3/2[5/2]	64% ³D + 35% ¹F
		206 359			1.114	100% 1/2[5/2]	41% ³F − 35% ¹F + 24% ³D
4	198 805	198 820	−15	1.28	1.251	100% 3/2[7/2]	100% ³F

λ (Å)	Int.	σ (cm⁻¹)	Classification	Zeeman Type	Zeeman components	J₁(g₁)–J₂(g₂)
466.152	1	214 522.4	4p^{6 1}S₀–7d 1/2[3/2]₁°?
474.875	10	210 581.8	4p^{6 1}S₀–8d 3/2[3/2]₁°?
481.115	40	207 850.5	4p^{6 1}S₀–6d 1/2[3/2]₁°
488.532	5	204 694.7	4p^{6 1}S₀–8s 3/2[3/2]₁°?
490.344	3	203 938.5	4p^{6 1}S₀–7s 1/2[1/2]₁°
497.428	90	201 034.1	4p^{6 1}S₀–6d 3/2[3/2]₁°
503.291	3	198 692.0	4p^{6 1}S₀–6d 3/2[1/2]₁°
508.436	20	196 681.6	4p^{6 1}S₀–7s 3/2[3/2]₁°
513.268	150	194 829.8	4p^{6 1}S₀–5d 1/2[3/2]₁°
530.174	300	188 617.4	4p^{6 1}S₀–6s 1/2[1/2]₁°
533.800	75	187 336.0	4p^{6 1}S₀–6s 1/2[1/2]₁°
542.888	40	184 200.2	4p^{6 1}S₀–5d 3/2[1/2]₁°
555.043^a	200	180 166.1	4p^{6 1}S₀–6s 3/2[3/2]₁°
589.411	2500	169 660.8	4p^{6 1}S₀–4d¹P₁°
643.873	1500	155 310.1	4p^{6 1}S₀–4d³P₁°
697.053	3000	143 461.1	4p^{6 1}S₀–4d³P₁°
711.182	6000	140 611.0	4p^{6 1}S₀–5s 1/2[1/2]₁°
741.460	10000	134 869.1	4p^{6 1}S₀–5s 3/2[3/2]₁°
2197.988	1	45 481.94	4d³F₃°–4f 3/2[7/2]₄		(0)
2198.265	2	45 476.23	4d³F₃°–4f 3/2[7/2]₃	3	(333)	3(1.08)–[3][0.97]
2217.083	20	45 090.27	4d³F₃°–4f 3/2[9/2]₄	7	(0)917	3[1.08]–[4](1.04)
2237.725	2	44 674.37	5p 3/2[1/2]₁–6d 3/2[3/2]₂°		(0, 616)	1[1.924]–2(1.31)
2250.650	2	44 417.84	5p 3/2[1/2]₁–6d 3/2[1/2]₁°	3	(625)	1[1.924]–1(1.30)
2251.430		44 402.46	4d¹D₂°–4f 1/2[5/2]₂		(0)
2254.191	10	44 348.06	4d¹D₂°–4f 1/2[7/2]₃	7	(0)744	[2][0.92]–[3](0.86)
2254.546		44 341.09	4d¹D₂°–4f 1/2[5/2]₃		(0)
2263.547		44 164.78	5p 3/2[1/2]₁–6d 3/2[1/2]₀°		(0)
2263.936	5	44 157.20	4d³D₁°–4f 1/2[5/2]₂	1,2	(0, 246)	1[0.55]–2(0.80)
2291.706	35	43 622.17	4d³F₂°–4f 3/2[7/2]₃	2u	(0)1194; J = 2–3?	[2][0.77]–3(0.91)
2298.801	5	43 487.55	4d³D₂°–4f 3/2[5/2]₂	7	(0)812	[2][0.77]–[2](0.85)
2330.052		42 904.34	4d³D₂°–4f 1/2[5/2]₂	3	(553)	[2][1.15]–2(0.87)
2331.279		42 881.75	5p 1/2[3/2]₂–6d 1/2[3/2]₁°		(0)
			5p 3/2[3/2]₁–6d 3/2[3/2]₁°
2333.016		42 849.82	4d³D₂°–4f 1/2[7/2]₃	1,2	(0, 276)	[2][1.15]–[3](0.87)
2333.390	20	42 842.96	4d³D₂°–4f 1/2[5/2]₃	7	(0)1206	[2][1.15]–[3](1.17)
2345.202		42 627.19	5p 3/2[5/2]₂–6d 3/2[5/2]₃°		(Oh)
2353.109	3	42 483.96	5p 3/2[5/2]₃–6d 3/2[5/2]₂°	3	(271)~1070h	[2][1.123]–2(0.99)
2353.958	2	42 468.65	5p 3/2[5/2]₃–6d 3/2[5/2]₃°	3	(304)~1450h	[3][1.336]–3(1.23)
2364.268	35	42 283.46	4d¹F₃°–4f 1/2[7/2]₄	7	(0)1002	[3][1.14]–[4](1.11)
2364.316	20	42 282.61	5p 3/2[5/2]₂–6d 3/2[7/2]₃°	7	(0)1054	[2][1.123]–[3](1.10)
2365.151		42 267.68	4d¹F₃°–4f 1/2[5/2]₃	7	(0)~1100h	[3][1.14]–[3](1.06)
2367.511	7	42 225.54	5p 3/2[1/2]₁–7s 3/2[3/2]₂°	1,2	(0, 401)	1[1.924]–2(1.52)
2373.211	2	42 124.15	5p 3/2[5/2]₃–6d 3/2[7/2]₃°	3	(1408)	[3][1.336]–3(1.10)
2385.340	75	41 909.97	5p 3/2[5/2]₃–6d 3/2[7/2]₄°	1u	(0)1102	[3][1.336]–4(1.28)
2434.163	15	41 069.42	5p 3/2[3/2]₁–6d 3/2[5/2]₂°	7	(0)958	[1][0.981]–[2](0.97)
2450.438		40 796.67	5p 3/2[3/2]₁–6d 3/2[3/2]₂°	1,2	(0, 370)	[1][0.981]–2(1.35)
2459.138	50	40 652.36	5p 3/2[3/2]₂–6d 3/2[5/2]₃°	1u	(0)1018	[2][1.360]–3(1.25)
2472.200	200	40 437.59	4d³D₃°–4f 3/2[7/2]₄	7	(0)1196	[3][1.18]–[4](1.18)
2484.552	10	40 236.57	5p 3/2[3/2]₂–6d 3/2[5/2]₂°	7	(0)1349	[2][1.360]–[2](1.34)
2484.695	25	40 234.24	4d³D₃°–4f 3/2[5/2]₃	7	(0)1188	[3][1.18]–[3](1.20)
2485.761		40 216.98	5p 1/2[1/2]₀–6d 1/2[3/2]₁°		(0)
2496.378	50	40 045.95	4d³D₃°–4f 3/2[9/2]₄	1u	(0)619	[3][1.18]–4(1.04)
2500.494	5	39 980.04	5p 3/2[3/2]₂–6d 3/2[1/2]₁°	7	(0)1402	[2][1.360]–[1](1.32)
2502.671	25	39 945.27	5p 3/2[5/2]₂–7s 3/2[3/2]₁°	7	(0)1096	[2][1.123]–[1](1.15)
2503.315	15c	39 935.00	5p 1/2[3/2]₁–7s 1/2[1/2]₀°	7	(0)691	1(0.691)–[0]
2505.260	3	39 904.00	4d³D₃°–4f 3/2[3/2]₂	7	(0)1256p	[3][1.18]–[2](1.14)
2509.703	15	39 833.36	5p 3/2[1/2]₀–6d 3/2[3/2]₁°	7	(0)849	[0]–1(0.849)
2514.178	50	39 762.46	5p 3/2[5/2]₂–7s 3/2[3/2]₂°	3	(436u, 761)761, 1125, 1497, 1881	2(1.120)–2(1.501)
2524.241	200	39 603.96	5p 3/2[5/2]₃–7s 3/2[3/2]₂°	1u	(0)1065	[3][1.336]–2(1.47)
2565.303	75	38 970.07	5p 1/2[3/2]₂–7s 1/2[1/2]₁°	1u	(0)1105	[2][1.191]–1(1.28)
2573.330	10c	38 848.52	5p 1/2[1/2]₁–7s 1/2[1/2]₁°	7	(0)1421	[1][1.431]–[1](1.41)
2578.544	30	38 769.96	5p 1/2[1/2]₁–7s 1/2[1/2]₀°	7	(0)1435	[1][1.435]–[0]
2594.564	50	38 530.60	5p 3/2[3/2]₁–7s 3/2[3/2]₁°	3	(179)1076c	1(0.986)–1(1.165)
2606.931	5	38 347.82	5p 3/2[3/2]₁–7s 3/2[3/2]₂°	2	(0, 511)1513, 2021	1(0.998)–2(1.510)
2623.765	75	38 101.80	5p 3/2[1/2]₁–5d 1/2[3/2]₂°	1	(0, 679)539, 1218, 1913	1(1.897)–2(1.218)
2632.845	20	37 970.41	5p 3/2[3/2]₂–7s 3/2[3/2]₁°	2u	(0)1502	[2][1.360]–1(1.22)
2633.669	1	37 958.52	5p 3/2[1/2]₁–5d 1/2[5/2]₂°	1	(0, 1109) −316	1(1.903)–2(0.793)
2645.580	100	37 787.64	5p 3/2[3/2]₂–7s 3/2[3/2]₂°	3u	(240)1434	2(1.375)–2(1.495)
2684.102	200	37 245.35	4d¹D₂°–4f 3/2[7/2]₃	2u	(0)992	[2][0.92]–3(0.94)
2693.836	30	37 110.77	4d¹D₂°–4f 3/2[5/2]₂	7	(0)890	[2][0.92]–[2](0.86)
2698.425	10	37 047.67	4d¹D₂°–4f 3/2[5/2]₃	2	(0, 213)946, 1250, 1590	[2](0.95)–3(1.16)
2711.763	200	36 865.46	4d³D₁°–4f 3/2[5/2]₂	2	(0, 236u)905, 1138	1(0.67)–2(0.90)
2741.006	50	36 472.16	4d³D₁°–4f 3/2[3/2]₂	2	(0, 564)554, 1121, 1685	1(0.55)–2(1.12)
2745.541	20	36 411.92	4d³D₁°–4f 3/2[3/2]₁	7	(0)516	[1][0.55]–[1](0.48)
2753.578	10c	36 305.66	5p 1/2[1/2]₀–7s 1/2[1/2]₁°	7	(0)1332	[0]–1(1.332)
2777.253	2c	35 996.17	5p 3/2[5/2]₂–5d 1/2[5/2]₃°	7	(0)1133	[2][1.123]–[3](1.13)
2796.590	3	35 747.29	4d³D₂°–4f 3/2[7/2]₃	1u	(0)678; J = 2–3?	[2][1.15]–3(0.99)
2805.097		35 638.89	5p 3/2[5/2]₂–5d 1/2[3/2]₂°	7	(0)1181	[2][1.123]–[2](1.24)
2807.161	30	35 612.69	4d³D₂°–4f 3/2[5/2]₂	3	(328, 602)602, 862, 1149, 1403	2(1.156)–2(0.855)
2812.146	100	35 549.56	4d³D₂°–4f 3/2[5/2]₃	7	(0)1219	[2][1.15]–[3](1.17)
2817.490	10	35 482.14	5p 3/2[1/2]₀–7s 3/2[3/2]₁°	7	(0)1184	[0]–1(1.184)
2832.308		35 296.51	5p 1/2[3/2]₁–6d 3/2[5/2]₂°	7	(0)1178	[1][0.687]–[2](0.93)
2838.510	75	35 219.40	4d³D₂°–4f 3/2[3/2]₂	7	(0)1133	[2][1.15]–[2](1.12)
2841.873	15	35 177.72	4d¹F₃°–4f 3/2[7/2]₄	7	(0)1252	[3][1.14]–[4](1.17)
2842.333	15	35 172.03	4d¹F₃°–4f 3/2[7/2]₃	3u	(521)1055	[3](1.14)–3(0.97)
2843.372	2	35 159.17	4d³D₂°–4f 3/2[3/2]₁	2	(0, 649)464c, 1159, 1804	2(1.159)–1(0.513)
2858.398	5	34 974.36	4d¹F₃°–4f 3/2[5/2]₃	7	(0)1175	[3][1.14]–[3](1.21)
2873.876	150	34 786.00	4d¹F₃°–4f 3/2[9/2]₄	1u	(0)757	[3][1.14]–[4](1.04)
2885.650		34 644.08	4d¹F₃°–4f 3/2[3/2]₂	7	(0)1162	[3][1.14]–[2](1.13)
2910.885	2s	34 343.75	5p 3/2[1/2]₁–5d 3/2[3/2]₁°	3	(1201)728, 1923	1(1.923)–1 (0.728)
2921.051		34 224.23	5p 3/2[3/2]₁–5d 1/2[3/2]₂°	7	(0)1402	[1][0.981]–[2](1.19)
2933.330	15	34 080.98	5p 3/2[3/2]₁–5d 1/2[5/2]₂°	1u	(0)683	[1][0.981]–2(0.83)
2935.851	3	34 051.72	5p 1/2[3/2]₂–6d 3/2[7/2]₃°	1u	(0)953	[2][1.191]–3(1.11)
2938.467	15	34 021.40	5p 3/2[3/2]₂–5d 1/2[5/2]₃°	1	(0, 206)689, 862u, 1087u, 1323u	2(1.308)–3(1.102)
2952.578	15	33 858.82	5p 1/2[1/2]₁–6d 3/2[3/2]₂°	7	(0)1271	[1][1.431]–[2](1.35)
2969.667	10	33 663.98	5p 3/2[3/2]₂–5d 1/2[3/2]₂°	3u	(204)1301	[2](1.35)–2(1.25)
2972.620	3	33 630.54	5p 3/2[1/2]₀–5d 1/2[3/2]₁°	7	(0)914	[0]–1(0.914)
2975.116	3	33 602.32	5p 1/2[1/2]₁–6d 3/2[1/2]₁°	3u	(75)1365	[1](1.40)–1(1.33)
2982.355	1	33 520.77	5p 3/2[3/2]₂–5d 1/2[5/2]₂°	3	806, 1343, 1908	2(1.34)–2(0.80)
2993.039	10	33 401.12	5p 1/2[1/2]₀–6d 3/2[3/2]₁°	7	(0)848	[0]–1(0.848)
2997.692		33 349.28	5p 1/2[1/2]₁–6d 3/2[1/2]₀°	7	1429	1(1.429)–[0]
3041.763	3	32 866.11	5p 3/2[1/2]₁–6s 1/2[1/2]₀°	7	(0)1937	1(1.937)–[0]
3051.362	200	32 762.72	5s 3/2[3/2]₁°–5p 1/2[1/2]₀	7	(0)1289	1(1.284)–[0]
3135.790		31 880.65	5p 3/2[5/2]₂–5d 3/2[3/2]₁°	2	(0, 377)749, 1137, 1503	2(1.127)–1(0.750)
3148.903	1000c	31 747.90	5s 3/2[3/2]₂°–5p 1/2[1/2]₁	7	(0)1554	[2][1.500]–[1](1.45)
3161.003	250	31 626.37	5s 3/2[3/2]₂°–5p 1/2[3/2]₂	3	(352, 612)936, 1206, 1490, 1759	2(1.487)–2(1.208)
3189.493		31 343.88	5p 3/2[1/2]₁–5d 3/2[5/2]₂°		0	[1][1.924]–[2](0.96)
3234.666	3w	30 906.17	5p 1/2[3/2]₁–5d 1/2[3/2]₁°	3	(138)805c	1(0.74)–1(0.87)
3270.989	400	30 562.99	5p 3/2[1/2]₁–5d 3/2[3/2]₂°	1	(0, 559)795,1337, 1897	1(1.906)–2(1.346)
3281.387	20	30 466.14	5p 3/2[3/2]₁–5d 3/2[3/2]₁°	3	(249)756, 940	1(0.972)–1(0.724)
3308.128	15	30 219.88	5s 3/2[3/2]₁°–5p 1/2[1/2]₁	3	(117)1349u	1(1.29)–1(1.41)
3321.486	300	30 098.34	5s 3/2[3/2]₁°–5p 1/2[3/2]₂	7	(0)1145	[1][1.284]–[2](1.21)
3340.548	250	29 926.61	5p 3/2[1/2]₁–5d 3/2[1/2]₁°	3	(548)1380, 1921	1(1.921)–1(1.380)
3353.892	150	29 807.54	4d¹P₁°–4f 1/2[5/2]₂	1u	(0)810	1(1.00)–2(0.90)
3361.375	25	29 741.19	5p 3/2[1/2]₁–5d 1/2[3/2]₁°	3	(520)915, 1424	1(1.424)–1(0.915)
3393.034	250	29 463.69	5p 3/2[1/2]₁–5d 3/2[1/2]₀°	7	(0)1924	1(1.924)–[0]
3415.585	150	29 269.17	5p 3/2[1/2]₁–5d 3/2[1/2]₀°	2u	(0)1377	[2][1.123]–3(1.18)
3434.177	200	29 110.71	5p 3/2[5/2]₃–5d 3/2[5/2]₃°	3u	(330)1275	[3](1.339)–3(1.211)
3440.743		29 055.16	5s 3/2[3/2]₁°–5p 1/2[3/2]₁	3	(636)654h, 1292	1(1.29)–1(0.65)
3461.502	300	28 880.92	5p 3/2[5/2]₂–5d 3/2[5/2]₂°	3	(161)1041	[2](1.122)–2(0.961)
3480.600	15	28 722.45	5p 3/2[5/2]₃–5d 3/2[5/2]₂°	2	(0, 383, 773)951, 1341, 1729, 2100	3(1.348)–2(0.966)
3513.773	5d	28 451.30	5p 1/2[3/2]₁–5d 1/2[3/2]₂°	2	(0, 565c) 1245, 1780c	1(0.711)–2(1.245)
3521.391	600	28 389.75	5p 3/2[5/2]₂–5d 3/2[7/2]₃°	7	(0)1053	[2][1.123]–[3](1.10)
3531.550	600/	28 308.09	5p 1/2[3/2]₁–5d 1/2[5/2]₂°	2u	(0)842	[1][0.687]–2(0.76)
3541.153	200	28 231.32	5p 3/2[5/2]₃–5d 3/2[7/2]₃°	3	(538, 735)857, 1101, 1326, 1490	3(1.324)–3(1.094)
3557.715	10	28 099.90	5p 3/2[5/2]₃–5d 3/2[3/2]₂°	3	(465)913, 1128, 1347, 1564	2(1.129)–2(1.347)
3577.891	25	27 941.45	5p 3/2[5/2]₃–5d 3/2[3/2]₂°	7	(0)1313	[3][1.336]–[2](1.35)
3600.605	1000	27 765.19	5p 1/2[3/2]₂–5d 1/2[5/2]₃°	1u	(0)1105p	[2][1.191]–3(1.16)
3600.642	2000	27 764.90	5p 3/2[5/2]₃–5d 3/2[7/2]₄°	1u	(0)1105p	[3][1.336]–4(1.28)
3639.799	125c	27 466.21	5p 3/2[3/2]₁–5d 3/2[5/2]₂°	7	(0)932	[1][0.981]–[2](0.96)
3640.162	20	27 463.48	5p 3/2[5/2]₂–5d 3/2[1/2]₁°	1	(0, 244)917p, 1125p, 1399p	2(1.125)–1(1.399)
3646.261	80c	27 417.54	5p 3/2[1/2]₀–5d 3/2[3/2]₁°	7	(0)722	[0]–1(0.722)
3647.556	70c	27 407.80	5p 1/2[3/2]₂–5d 1/2[3/2]₂°	7	(0c)1210	[2][1.191]–[2](1.23)
3662.735	200c	27 294.23	5p 3/2[3/2]₂–5d 3/2[5/2]₃°	1u	(0)900	[2][1.360]–3(1.21)
3663.807	180c	27 286.24	5p 1/2[1/2]₁–5d 1/2[3/2]₂°	1	(0, 173)1009, 1204, 1414	1(1.414)–2(1.204)
3666.715	75	27 264.60	5p 1/2[3/2]₂–5d 1/2[5/2]₂°	3	(394, 780)418, 804, 1189, 1575	2(1.190)–2(0.804)
3675.657	60	27 198.27	5p 1/2[1/2]₀–5d 1/2[3/2]₁°	7	(0c)910c	[0]–1(0.910)
3699.576	500c	27 022.43	5s 1/2[1/2]₁°–5p 1/2[1/2]₀	7	(0)1293	1(1.292)–[0]
3715.581	4	26 906.04	5p 3/2[3/2]₂–5d 3/2[5/2]₂°	3	(461, 823)532, 947, 1354, 1749	2(1.354)–2(0.946)
3746.328	75	26 685.22	5p 3/2[3/2]₁–5d 3/2[3/2]₂°	2	(0, 366)996, 1363, 1721	1(0.995)–2(1.367)
3784.668	7	26 414.89	5p 3/2[3/2]₂–5d 3/2[7/2]₃°	1	(0, 269, 529)547, 801, 1077, 1377	2(1.347)–3(1.086)
3796.811	750	26 330.42	5s 3/2[3/2]₁°–5p 3/2[1/2]₀	7	(0)1284	1(1.284)–[0]
3801.897	500	26 295.20	5s 1/2[1/2]₀°–5p 1/2[1/2]₁	7	(0)1427	[0]–1(1.427)
3826.657	200	26 125.06	5p 3/2[3/2]₂–5d 3/2[3/2]₂°	7	(0)1355	[2][1.360]–[2](1.35)
3837.849	35	26 048.88	5p 3/2[3/2]₁–5d 3/2[1/2]₁°	3	(395)983, 1373	1(0.983)–1(1.373)
3860.735	90	25 894.46	5p 3/2[1/2]₁–6s 3/2[3/2]₁°	3	(733)1194, 1928	1(1.928)–1(1.194)
3907.289	50	25 585.95	5p 3/2[3/2]₁–5d 3/2[1/2]₀°	7	(0)979	1(0.979)–[0]
3922.196	110	25 488.71	5p 3/2[3/2]₂–5d 3/2[1/2]₁°	7	(0)1353	[2][1.360]–[1](1.37)
3926.436	500Z	25 461.18	5p 3/2[1/2]₁–6s 3/2[3/2]₂°	1	(0, 420)1080, 1499, 1915	1(1.919)–2(1.499)
3940.508	5000	25 370.26	5s 3/2[3/2]₂°–5p 3/2[3/2]₂	3u	(246)1428	[2](1.50)–2(1.36)
3978.149	200c	25 130.21	5s 1/2[1/2]₀°–5p 1/2[3/2]₁	7	(0)688	[0]–1(0.688)
4029.487	350	24 810.04	5s 3/2[3/2]₂°–5p 3/2[3/2]₁	2	(0, 523)1967, 3013, 4049	2(1.505)–1(0.986)
4048.640^b		24 692.68	5p 1/2[3/2]₁–5d 3/2[3/2]₁°	7	(0)~780	[1][0.687]–[1](0.87)
4083.881	500c	24 479.60	5s 1/2[1/2]₀°–5p 1/2[1/2]₁	2u	(0c)1324c, 1403	1(1.32)–1(1.40)
4104.284	400c	24 357.91	5s 1/2[1/2]₁°–5p 1/2[3/2]₂	1u	(0)1014	1(1.37)–[2][1.191]
4136.112	350c	24 170.48	4d³P₁°–5p 1/2[1/2]₀	7	(0)1407	1(1.407)–[0]
4193.076	700	23 842.12	5s 3/2[3/2]₁°–5p 3/2[3/2]₂	7	(0)1395	[1](1.32)–[2][1.360]
4227.222^b		23 649.57	5p 1/2[3/2]₂–5d 3/2[3/2]₁°
4244.397	20000	23 553.84	5s 3/2[3/2]₂°–5p 3/2[5/2]₃	1u	(0)1003	[2][1.500]–3(1.33)
4249.085^b		23 527.88	5p 1/2[1/2]₁–5d 3/2[3/2]₁°	3	(730)710, 1420	1(1.42)–1(0.71)
4266.581	100	23 431.37	5p 3/2[5/2]₂–6s 3/2[3/2]₁°	1u	(0)1072	[2][1.123]–1(1.17)
4270.253	50c	23 411.23	5p 1/2[3/2]₁–6s 1/2[1/2]₁°	3	(639)688, 1327	1(0.688)–1(1.327)
4273.140	3000	23 395.41	5s 3/2[3/2]₂°–5p 3/2[5/2]₂	3	(397, 772)741, 1119, 1500, 1877	2(1.499)–2(1.120)
4287.967	500c	23 314.51	5s 1/2[1/2]₁°–5p 1/2[3/2]₁	3	(606)679, 1291	1(1.291)–1(0.685)
4293.971	300	23 281.92	5s 3/2[3/2]₁°–5p 3/2[3/2]₁	3	(304)981, 1281	1(1.281)–1(0.981)
4306.257	100c	23 215.49	5p 1/2[3/2]₁–6s 1/2[1/2]₀°	7	(0)687c	1(0.687)–[0]
4346.534		23 000.37	5p 3/2[1/2]₀–5d 3/2[1/2]₁°	7	(0)1371	[0]–1(1.371)
4346.959	200	22 998.12	5p 3/2[5/2]₂–6s 3/2[3/2]₂°	3	(388, 766)742, 1120, 1502, 1879	2(1.121)–2(1.501)
4377.119	500	22 839.66	5p 3/2[5/2]₃–6s 3/2[3/2]₂°	1u	(0)1016	[3][1.336]–2(1.50)
4440.097	25	22 515.71	4d¹P₁°–4f 3/2[5/2]₂	1u	(0)748c	[1][1.00]–2(0.87)
4469.474	250	22 367.72	5p 1/2[3/2]₂–6s 1/2[1/2]₁°	1	(0, 160) 1078u	2(1.24)–1(1.40)
4493.922	20c	22 246.04	5p 1/2[1/2]₁–6s 1/2[1/2]₁°	3	(200) 1177c, 1457	1(1.46)–1(1.26)
4519.037	35	22 122.40	4d¹P₁°–4f 3/2[3/2]₂	2u	(0, 192u)998u, 1268u	1(0.93)–[2][1.12]
4530.337	500	22 067.22	4d³P₀°–5p 1/2[1/2]₁	7	(0)1431	[0]–1(1.431)
4533.786	90	22 050.44	5p 1/2[1/2]₁–6s 1/2[1/2]₀°	7	(0)1431	1(1.431)–[0]
4540.736	60	22 016.69	5p 3/2[3/2]₁–6s 3/2[3/2]₁°	3	(211)990, 1179	1(0.979)–1(1.190)
4571.774	5000	21 867.22	5s 3/2[3/2]₁°–5p 3/2[5/2]₂	1	(0, 140)969, 1089, 1250	1(1.273)–2(1.121)
4622.423	600c	21 627.62	4d³P₁°–5p 1/2[1/2]₁	7	(0)1421	[1](1.41)–[1][1.431]
4631.888	15c	21 583.42	5p 3/2[3/2]₁–6s 3/2[3/2]₂°	2	(0, 524)1491, 2021	1(0.964)–2(1.491)
4648.566	1000	21 505.99	4d³P₁°–5p 1/2[3/2]₂	1	(0, 207)991, 1175, 1405	1(1.409)–2(1.192)
4659.285	20	21 456.51	5p 3/2[3/2]₂–6s 3/2[3/2]₁°	2	(0,147)1175, 1386, 1524	2(1.382)–1(1.238)
4730.454	40	21 133.71	4d³P₂°–5p 1/2[1/2]₁	7	(0)1490	[2](1.460)–[1][1.431]
4755.296	100	21 023.30	5p 3/2[3/2]₂–6s 3/2[3/2]₂°	3	(118, 256)1267, 1379, 1501, 1614	2(1.381)–2(1.500)
4757.822	10c	21 012.14	4d³P₂°–5p 1/2[3/2]₂	3	(278, 580)919, 1184, 1469, 1730h	2(1.466)–2(1.184)
4775.949	10000	20 932.40	5s 3/2[3/2]₂°–5p 3/2[1/2]₁	1	(0, 426)1081, 1496, 1922	2(1.502)–1(1.928)
4782.830	500c	20 902.28	4d³P₀°–5p 1/2[3/2]₁	7	(0)702c	[0]–1(0.70)
4855.336	5	20 590.14	5s 1/2[1/2]₁°–5p 3/2[1/2]₀	7	(0)1293	1(1.293)–[0]
4885.588	25c	20 462.65	4d³P₁°–5p 1/2[3/2]₁	3	(721)689h, 1408	1(1.408)–1 (0.687)
5073.919b		19 703.16	5p 1/2[1/2]₀–6s 1/2[1/2]₁°		1310	[0]–1(1.31)
5152.115		19 404.10	5s 3/2[3/2]₁°–5p 3/2[1/2]₁	3	1287p, 1926	1(1.287)–1(1.926)
5164.592^b		19 357.24	5s 1/2[1/2]₀°–5p 3/2[3/2]₁
5270.508^b		18 968.24	5p 3/2[1/2]₀–6s 3/2[3/2]₁°
5522.789^b		18 101.78	5s 1/2[1/2]₁°–5p 3/2[3/2]₂
5635.994^b		17 738.19	4d³P₁°–5p 3/2[1/2]₀
5699.159^b		17 541.59	5s 1/2[1/2]₁°–5p 3/2[3/2]₁
6199.093^b		16 126.94	5s 1/2[1/2]₁°–5p 3/2[5/2]₂
6458.347^b		15 479.57	5s 1/2[1/2]₀°–5p 3/2[1/2]₁
6555.625^b		15 249.87	4d³P₁°–5p 3/2[3/2]₂
6775.062^b		14 755.95	4d³P₂°–5p 3/2[3/2]₂
6805.646^b		14 689.63	4d³P₁°–5p 3/2[3/2]₁
7042.450^b		14 195.70	4d³P₂°–5p 3/2[3/2]₁
7316.505^b		13 663.97	5s 1/2[1/2]₁°–5p 3/2[1/2]₁

J	E (obs)	E (calc)	o — c	g (obs)	g (calc)	% J₁l	Percentage composition — LS
0	161 200	161 180	20			90% 3/2[1/2]	66% ³P − 34% ¹S
	167 632	167 643	−11			90% 1/2[1/2]	66% ¹S + 34% ³P
1	154 274	154 303	−29	1.924	1.923	93% 3/2[1/2]	87% ³S + 11% ³P + 2% ¹P
	158 151	158 183	−32	0.981	0.976	97% 3/2[3/2]	48% ¹P − 29% ³D − 22% ³P
	163 924	163 894	30	0.687	0.674	95% 1/2[3/2]	69% ³D + 28% ¹P − 3% ³P
	165 089	165 118	−29	1.431	1.427	91% 1/2[1/2]	−64% ³P − 22% ¹P + 12% ³S
2	156 737	156 722	15	1.123	1.123	90% 3/2[5/2]	57% ³D − 37% ¹D + 6% ³P
	158 712	158 738	−26	1.360	1.354	90% 3/2[3/2]	70% ³P + 27% ¹D + 3% ³D
	164 968	164 960	8	1.191	1.190	99% 1/2[3/2]	−40% ³D − 35% ¹D + 25% ³P
3	156 895	156 838	57	1.336	1.333	100% 3/2[5/2]	100% ³D

J	E (obs)	E (calc)	o — c	g (obs)	g (calc)	% J₁l	Percentage composition — LS
1	191 723	191 722	1	0.50	0.500	100% 3/2[3/2]	100% ³D
2	191 783	191 783	0	1.12	1.113	98% 3/2[3/2]	−70% ³D + 29% ¹D
	192 176	192 174	2	0.86	0.849	97% 3/2[5/2]	50% ³F − 40% ¹D − 10% ³D
	199 468	199 471	−3	0.88	0.871	100% 1/2[5/2]	−49% ³F − 31% ¹D − 20% ³D
3	192 113	192 112	1	1.20	1.189	100% 3/2[5/2]	−49% ³D + 29% ³F − 22% ¹F
	192 311	192 312	−1	0.97	0.956	100% 3/2[7/2]	−41% ¹F − 31% ³F + 28% ³G
	199 413	199 406	7	0.87	0.830	100% 1/2[7/2]	72% ³G + 16%¹F − 12% ³F
	199 406	199 416	−10	1.17	1.192	100% 1/2[5/2]	51% ³D + 28% ³F − 21% ¹F
4	191 925	191 929	−4	1.04	1.023	100% 3/2[9/2]	54% ¹G + 46% ³G
	192 316	192 316	0	1.18	1.188	100% 3/2[7/2]	72% ³F − 14% ³G + 13% ¹G
	199 422	199 416	6	1.11	1.090	100% 1/2[7/2]	40% ³G − 32% ¹G + 28% ³F
5		191 913			1.200	100% 3/2[9/2]	100% ³G

Ion	Known limit (cm⁻¹)	Ref.	Limit from three-member ns series (cm⁻¹)	Diff/Z_c² (cm⁻¹)
K i	35 009.8	a	35 004.1	5.7
Ca ii	95 751.9	b	95 725.6	6.7
Se iii	199 677.0	c	199 610.4	7.4
Ti iv	348 973	d	348 846	7.9
Rb i	33 690.8	e	33 682.7	8.1
Sr ii	88 964.0	a	88 928.9	8.8
Sr iii	345 879.0	f	345 795	9.3
Y iii	165 542.5	g	165 452.7	10.0
Cs i	31 406.5	h	31 396.6	9.8
Ba ii	80 686.9	a	80 640.2	11.7
La iii	154 675	i	154 560	12.8
Lu iii	169 049	j	168 909	15.6

	Series members—observed levels (cm⁻¹)	Series members—corrected levels (cm⁻¹)
5s	133 914	134 290
6s	179 897	179 934
7s	196 568	196 577
Limit	220 036	220 048

Abstract

Cited By

Figures (5)

Tables (10)

Journal of the Optical Society of America