Zeeman-Effect Investigations in Singly Ionized Gadolinium (Gd ii)

D. Desmarais; Eric H. Pinnington

doi:10.1364/JOSA.57.001245

Journal of the Optical Society of America
Vol. 57,
Issue 10,
pp. 1245-1251
(1967)
•https://doi.org/10.1364/JOSA.57.001245

Zeeman-Effect Investigations in Singly Ionized Gadolinium (Gd ii)

D. Desmarais and Eric H. Pinnington

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D. Desmarais and Eric H. Pinnington, "Zeeman-Effect Investigations in Singly Ionized Gadolinium (Gd ii)," J. Opt. Soc. Am. 57, 1245-1251 (1967)

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Abstract

Results are presented for 120 Zeeman patterns in Gd ii, from which g values for 67 levels are calculated. The problem of determining the magnetic field strength to a sufficient accuracy is discussed. The phenomenon of mixing of polarizations is attributed to scattering in the light source. The predictions of Smith and Wybourne are found to agree within experimental error for 18% of these levels and within 2% for 77% of them. An attempt is made to reassign the percentage composition of the levels y⁸P, z⁸P, z⁸F and z¹⁰D, for which the observed g values differ markedly from those predicted. Finally the composition of the even level, $4_{\frac{5}{2}}$ , is discussed.

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Corrections

D. Desmarais and Eric H. Pinnington, "Erratum," J. Opt. Soc. Am. 59, 1391-1391 (1969)
https://opg.optica.org/josa/abstract.cfm?uri=josa-59-10-1391

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No.	Wavelength	Transition	Weight	Pattern
1	3010.129	a ¹⁰D°_5/2–y ¹⁰P_7/2	III	(0.197, 0.597, 0.999) 1.157, 1.545, 1.942, 2.342, 2.740, 3.135
2	3068.643	a ¹⁰D°_9/2–y ¹⁰ P_7/2	IV	(0.142, 0.427, 0.723, 1.003) 0.857, 1.143, 1.434, 1.722, 2.008, 2.293, 2.593
3	3076.925	a ¹⁰D°_5/2–z ⁸F_7/2	V	(0.376, 1.129, 1.894)-0.083, 0.660, 1.411, 2.153, 2.908
4	3089.954	a ⁶D°_7/2–y ⁶P_5/2	II	0.905, 1.183, 1.427
5	3092.058	a ⁶D°_5/2–y ⁶P_3/2	I	(0.373, 1.102) 0.539, 1.305
6	3098.644	a ¹⁰D°_5/2–y ⁸P_7/2	III	(0.406, 1.221, 2.032)-0.322, 0.509, 1.330, 2.181, 2.991, 3.864
7	3119.941	a ¹⁰D°_7/2–y ⁸P_9/2	V	(0.167, 0.500, 0.833, 1.181) 0.577, 0.908, 1.239, 1.575, 1.907, 2.247, 2.578
8			III	(0.173, 0.519. 0.833, 1.219) 0.579, 0.911, 1.240, 1.577, 1.900
9	3123.989	a ¹⁰D°_7/2–y ⁸P_7/2	IV	(0.860, 1.202) 0.880, 1.229, 1.578, 1.923, 2.242, 2.584, 2.906
10			IV	(0.517, 0.848, 1.197) 0.870, 1.227, 1.571, 1.907, 2.239, 2.575, 2.920
11	3130.812	b ⁸D°_5/2–y ⁸F_5/2	IV	(0.553, 0.925) 1.134, 1.518, 1.878, 2.243, 2.619
12	3133.094	a ¹⁰D°_5/2–z ⁶P_7/2	IV	(0.344, 1.044, 1.736) 0.114, 0.832, 1.516
13	3145.516	b ⁸D°_7/2–y ⁸F_9/2	II	(0.097, 0.340, 0.584, 0.806) 0.751, 0.985, 1.191, 1.434, 1.680, 1.913
14	3146.878	b ⁸D°_5/2–y ⁸F_7/2	I	(0.217, 0.654, 1.083) 0.518, 0.947, 1.383, 1.846
15	3268.335	a ¹⁰D°_7/2–z ⁸P_9/2	I	0.759, 1.040, 1.352
16			IV	(0.146, 0.447, 0.734, 1.043) 0.748, 1.044, 1.338, 1.634, 1.936
17	3331.383	a ¹⁰D°_5/2–z ⁸D_7/2	V	(0.362, 1.090, 1.813) ⋯, 0.743, 1.465, 2.191, 2.927
18	3336.180	a ¹⁰D°_5/2–z ⁸D_5/2	IV	(0.788, 1.293) 1.779, 2.304, 2.821, 3.337
19	3345.985	a ¹⁰D°_5/2–z ⁸D_3/2	IV	(0.139, 0.410) 2.152, 2.418, 2.698, 2.976
20	3358.620	a ¹⁰D°_7/2–z ⁸D_9/2	II	(0.162, 0.498) ⋯, ⋯, ⋯, 1.605, 1.928, 2.242, 2.562, 2.901
21	3360.711	a ¹⁰D°_7/2–z ⁸D_7/2	V	(0.642, 0.879) 1.206, 1.454, 1.713, 1.958, 2.211, 2.460, 2.708
22	3399.991	a ⁸D°_3/2–z ⁸F_5/2	IV	(0.313, 0.938) 1.242, 1.860, 2.493
23			IV	(0.312, 0.948) 1.238, 1.863, 2.502
24	3405.038	a ⁶D°_5/2–z ⁶D_1/2	II	(1.158) 3.060
25	3413.273	a ⁶D°_3/2–z ⁶D_3/2	II	(1.013) 0.885, 1.519, 2.176
26	3416.948	a ⁸D°_7/2–z ⁸F_9/2	III	(0.134, 0.394, 0.642, 0.890) 0.731, 0.971, 1.239, 1.473, 1,741, 2.001
27			III	(0.128, 0.382, 0.633, 0.869) 0.738, 0.959, 1.228, 1.492, 1.740, 1.998
28	3418.733	a ¹⁰D°_5/2–z ¹⁰D_7/2	IV	(0.317, 0.929, 1.538) 0.411, 1.016, 1.631, 2.255, 2.866, 3.464
29			IV	(0.313, 0.922, 1.527) 0.410, 1.021, 1.631, 2.252, 2.854, 3.487
30	3423.92	a ¹⁰D°_5/2–z ¹⁰D_5/2	III	(0.403, 0.638) 1.906, 2.170, 2.405, 2.661, 2.909
31	3424.592	a ⁸D°_3/2–z ⁸F_3/2	III	(0.395, 1.199) 1.650, 2.402, 3.201
32	3425.930	a ⁸D°_5/2–y ⁸P_7/2	IV	(0.151, 0.458, 0.762) 0.978, 1.300, 1.603, 1.890
33			III	(0.147, 0.446, 0.753) 0.976, 1.286, 1.598, 1.901
34	3439.208	a ⁸D°_5/2–y ⁸P_5/2	III	(0.353, 0.582) 1.458, 1.705, 1.919, 2.163, 2.398
35	3454.904	a ¹⁰D°_7/2–z ¹⁰D_5/2	IV	(0.102, 0.329, 0.540) 1.562, 1.773, 1.991, 2.210, 2.429
36	3467.267	a ⁸D°_7/2–z ⁸F_5/2	IV	(0.149, 0.440, 0.746) 1.131, 1.420, 1.719, 2.013, 2.311, 2.585
37			II	(0.132, 0.428, 0.732) 1.106, 1.417, 1.725, 2.007, 2.335
38	3473.219	a ¹⁰D°_7/2–z ¹⁰D_9/2	IV	(0.122, 0.382, 0.658) 0.909, ⋯, 1.423, 1.673, 1.951, 2.202, 2.484
39			IV	(0.130, 0.388, 0.649, 0.910) 0.907, 1.161, 1.424, 1.688, 1.951, 2.192
40			IV	(0.130, 0.391, 0.658, 0.905) 0.908, 1.160, 1.424, 1.692, 1.944, 2.222
41	3491.954	a ¹⁰D°_5/2–4_5/2	I	(0.360, 0.566) 2.036, 2.238, 2.452, 2.680, 2.890
42			II	(0.365, 0.560) 2.022, 2.230, 2.444, 2.661, 2.875
43			II	(0.559) 2.238, 2.461, 2.673
44	3524.196	a ¹⁰D°_7/2–4_5/2	III	(0.118, 0.360, 0.620) 1.473, 1.708, 1.957, 2.185
45			IV	(0.121, 0.361, 0.597) 1.467, 1.719, 1.946
46	3544.985	a ¹⁰P°_7/2–z ⁸F_9/2	II	(0.142, 0.409) 0.676, 0.951, 1.225, 1.496, 1.754
47	3571.933	a ¹⁰D°_6/2–z ⁸P_7/2	I	⋯, ⋯, ⋯, 2.258, 2.867
48	3608.753	b ⁸D°_7/2–y ⁸D_5/2	III	(0.107, 0.329, 0.544) 1.251, 1.457, 1.692, 1.921
49			IV	(0.107, 0.329, 0.555) 1.252, 1.473, 1.693, 1.913, 2.135
50	3613.392	b ⁸D°_5/2–y ⁸D_3/2	III	(0.351) 1.016, 1.705, 2.394
51	3649.44	b ⁸D°_3/2–y ⁸D_5/2	II	(0.375, 1.108) 0.906, 1.664, 2.426
52	3650.95	b ⁸D°_5/2–y ⁸D_7/2	I	(0.126, 0.398, 0.631) 1.113, 1.404, 1.649, 1.921, 2.206
53	3662.26	a ¹⁰D°_5/2–z ⁸P_5/2	IV	(0.314, 0.500) 2.063, 2.263, 2.457, 2.659, 2,852
54	3671.20	a ¹⁰D°_9/2–z ¹⁰F_11/2	IV	(0.108, 0.290, 0.500, 0.726, 0.882) 0.765, 0.944, 1.154, 1.353, 1.557, 1.752
55			V	(0.101, 0.301, 0.499, 0.720, 0.901) 0.757, 0.946, 1.157, 1.358, 1.559, 1.752, 1.960, 2.159
56	3687.74	a ⁸D°_3/2–z ⁸D_5/2	III	(0.373, 1.120) 0.909, 1.659, 2.419, 3.184
57	3697.73	a ¹⁰D°_7/2–z ⁸P_5/2	III	(0.122, 0.412, 0.674) 1.413, 1.671, 1.945, 2.225, 2.494, 2.803
58			III	(0.127, 0.408, 0.679) 1.416, 1.679, 1.943, 2.229, 2.492, 2.813
59			IV	(0.133, 0.403, 0.671) 1.405, 1.670, 1.957, 2.210, 2.472, 2.772
60	3712.70	a ⁸D°_5/2–z ⁸D_7/2	III	(0.098, 0.318, 0.535) 1.302, 1.506, 1.734, 1.907, 2.124
61	3716.36	a ¹⁰D°_7/2–z ¹⁰F_9/2	IV	(0.178, 0.524, 0.879, 1.242) 0.493, 0.845, 1.203, 1.555, 1.910, 2.276, 2.624
62			I	(0.178) ⋯, ⋯, ⋯, 1.549, 1.908, 2.258, 2.593
63			III	(0.172, 0.510, 0.863, 1.212) 0.494, 0.841, 1.192, 1.545, 1.904, 2.255, 2.613, 2.997
64	3730.84	a ⁸D°_5/2–z ⁸D_3/2	V	(0.396, 1.179) 0.870, 1.653, 2.441, 3.228
65			V	(0.396, 1.181) 0.867, 1.654, 2.441, 3.228
66			V	(0.394, 1.183) 0.866, 1.654, 2.450, 3.252
67	3759.00	a ¹⁰D°_5/2–z ¹⁰F_7/2	IV	(0.342, 1.041, 1.726) 0.108, 0.818, 1.516, 2.226, 2.902
68	3796.37	a ¹⁰D°_7/2–z ¹⁰F_7/2	IV	(0353, 0.576, 0.777) 1.317, 1.542, 1.758, 1.975, 2.188, 2.386 2.614
69			II	1.323, 1.562, 1.766, 1.978, 2.198, 2.394, 2.610
70	3813.97	a ¹⁰D°_5/2–z ¹⁰F_5/2	IV	(0.191, 0.588, 0.974) 1.587, 1.976, 2.365, 2.760, 3.144
71			V	(0.587, 0.973) 1.584, 1.974, 2.361, 2.753, 3.137
72	3816.64	a ¹⁰D°_7/2–z ¹⁰P_9/2	II	(0.117, 0.402, 0.677) 0.894, 1.146, 1.411, 1.680, 1.954, 2.232
73			III	(0.134, 0.402, 0.674) 0.892, 1.139, 1.414, 1.680
74	3850.97	a ¹⁰D°_5/2–z ¹⁰F_3/2	IV	(0.267, 0.808) 1.747, 2.293, 2.824
75			III	(0.259, 0.800) 1.746, 2.284, 2.823, 3.362
76			II	1.740, 2.286, 2.822, 3.350
77	3875.46	a ¹⁰F°_5/2–z ⁸D_7/2	III	(0.182, 0.564, 0.918) 0.906, 1.280, 1.652, 2.031
78	3881.84	a ⁸S°_7/2–z ¹⁰D_5/2	I	(0.579, 0.945) 0.945, 1.346
79	3894.696	a ¹⁰D°_5/2–z ¹⁰P_7/2	IV	(0.177, 0.577, 0.935) 1.260, 1.632, 2.003, 2.379, 2.749
80			V	(0.184, 0.560, 0.932) 1.257, 1.628, 1.998, 2.366, 2.747, 3.150
81	3923.346	a ¹⁰F°_7/2–z ⁸D_5/2	II	(0.075, 0.228, 0.367) 1.521, 1.664, 1.784, 1.942, 2.085
82	3971.754	a ¹⁰F°_3/2–z ¹⁰D_5/2	IV	(0.427, 1.281) 1.031, 1.879, 2.739
83	3993.213	a ¹⁰D°_9/2–z ¹⁰P_7/2	III	(⋯, 0.481, 0.777, 1.098) 0.758, 1.070, 1.402, 1.719
84	3994.165	a ¹⁰F°_5/2–z ¹⁰D_7/2	IV	(0.128, 0.392, 0.659) 1.309, 1.565, 1.806, 2.076
85	4140.450	a ¹⁰F°_7/2–4_5/2	IV	(0.220, 0.669, 1.107) 0.782, 1.227, 1.659, 2.107
86	4153.510	a ⁸F°_5/2–y ⁸D_5/2	IV	(0.504, 0.826) 1.217, 1.540, 1.871, 2.197, 2.530
87	4162.732	a ⁸D°_9/2–z ⁸P_7/2	III	(0.083, 0.391, 0.664) 0.758, 1.018, 1.283, 1.548, 1.813
88			IV	(0.129, 0.398, 0.666, 0.930) 0.763, 1.024, 1.295, 1.551, 1.823, 2.074
89	4173.556	a ⁸F°_7/2–y ⁸D_5/2	V	(0.211, 0.630, 1.052) 0.556, 0.974, 1.398, 1.817
90	4204.857	a ¹⁰F°_5/2–z ⁸P_7/2	V	(0.125, 0.377, 0.631) 1.317, 1.569, 1.816, 2.071, 2.339
91			V	(0.126, 0.378, 0.633) 1.316, 1.569, 1.820, 2.076
92	4215.023	a ⁸S°_7/2–z ¹⁰F_9/2	II	(0.087, 0.271, 0.428) 1.122, 1.317, 1.512, 1.680
93	4217.195	a ¹⁰F°_11/2–z ¹⁰D_9/2	IV	(0.075, 0.230, 0.381, 0.528, 0.686) 0.969, 1.123, 1.272, 1.423, 1.582, 1.734
94			V	(0.076, 0.229, 0.384, 0.540, 0.688) 0.970, 1.127, 1.278, 1.429, 1.571
95	4229.803	a ⁸F°_9/2–y ⁸D_7/2	III	(0.108, 0.328, 0.552, 0.781) 0.799, 1.014, 1.244
96	4251.733	a ⁸D°_5/2–z ¹⁰F_7/2	IV	(0.094, 0.279) 1.401, 1.584, 1766
97			III	(0.088, 0.265) 1.399, 1.576, 1.754, 1.944, 2.149
98	4280.490	a ⁸D°_3/2–z ¹⁰F_5/2	V	(0.315, 0.951) 1.225, 1.854, 2.485
99			V	(0.314, 0.944) 1.227, 1.856, 2.488
100			IV	(0.315, 0.950) 1.222, 1.859, 2.482, 3.120
101	4296.076	a ¹⁰F°_3/2–z ⁸P_5/2	IV	(0.399) 1.167, 1.965, 2.758
102	4408.248	a ¹⁰F°_7/2–z ¹⁰F_9/2	V	1.168, 1.325, 1.491, 1.651
103	4419.032	a ⁸D°_9/2–z ¹⁰F_7/2	I	1.082, 1.244, 1.438, 1.619
104	4466.547	a ¹⁰F°_5/2–z ¹⁰F_7/2	II	(0.174, 0.511) 1.007, 1.340, 1.677, 2.035, 2.385
105	4471.29	a ⁶D°_7/2–z⁶P_5/2	III	(0.163, 0.522, 0.853) 0.756, 1.092, 1.433, 1.767
106	4514.505	a ¹⁰P°_9/2–y ¹⁰P_7/2	III	(⋯, 0.333, 0.559, 0.773) 1.197, 1.413, 1.619, 1.844, 2.059
107	4558.080	a ¹⁰F°_3/2–z ¹⁰F_3/2	II	(0.076) 3.125
108	4596.978	a ¹⁰F°_5/2–z ¹⁰F_3/2	III	(0.450, 1.336) 0.869, 1.759
109	4601.05	a ¹⁰F°_7/2–z ¹⁰F_5/2	IV	(0.139, 0.423) 1.188, 1.471
110	4865.02	b ⁸D°_5/2–z ⁸D_3/2	IV	(0.394, 1.179) 0.874, 1.658
111	5125.56	a ¹⁰P°_11/2–z ¹⁰D_13/2	I	0.973, 1.098, 1.240, 1.352
112	5186.915	a ⁸F°_3/2–z ⁸F_1/2	I	(0.886) 0.955, 2.962
113	5187.237	a ⁸F°_5/2–z ⁸F_3/2	II	(0.155, 0.422) 1.273, 1.588
114	5220.297	a ⁶D°_9/2–z ¹⁰D_7/2	I	(0.197) 0.182, 0.600, 0.905
115	5583.68	b ⁸D°_11/2–z ¹⁰P_9/2	II	0.855, 1.029, 1.205, 1.389, 1.569, 1.747
116	5733.86	a ¹⁰P°_9/2–z ¹⁰P_11/2	II	1.008, 1.176, 1.354, 1.524, 1.702, 1.870
				Unclassified Lines
117	3364.241	5/2?–5/2?		1.032, 2.146, 2.991
118	3622.810	11/2?–9/2?		(0.126, 0.387, 0.643, 0.891) 0.444, 0.681, 0.965, 1.193, 1.455
119				(0.121, 0.391, 0.641, 0.887) 0.443, 0.696, 0.955, 1.197, 1.476
120	3694.03	7/2?–5/2?		(0.186, 0.607, 0.980) 0.670, 1.061, 1.448

Level	L-S	S-W	Obs.	No. of Obs.

Odd levels
a ¹⁰D°_5/2	2.572	2.570	2.557±0.001	23
a ¹⁰D°_7/2	2.095	2.093	2.082±0.001	24
a ¹⁰D°_9/2	1.879	1.877	1.860±0.002	4
a ⁸D°_3/2	2.800	2.827	2.803±0.002	7
a ⁸D°_5/2	2.057	2.064	2.044±0.002	9
a ⁸D°_7/2	1.809	1.810	1.870±0.003	4
a ⁸D°_9/2	1.697	1.697	1.69±0.01	3
a ¹⁰F°_3/2	3.200	3.159	3.163±0.005	3
a ¹⁰F°_5/2	2.229	2.211	2.205±0.004	6
a ¹⁰F°_7/2	1.905	1.895	1.894±0.002	5
a ¹⁰F°_11/2	1.678	1.674	1.657±0.005	2
b ⁸D°_11/2	1.636	1.641	1.64±0.02	1
b ⁸D°_7/2	1.809	1.815	1.794±0.004	3
b ⁸D°_5/2	2.057	2.058	2.055±0.004	5
b ⁸D°_3/2	2.800	2.801	2.78±0.02	1
a ⁶D°_9/2	1.556	1.560	1.56±0.02	1
a ⁶D°_7/2	1.587	1.594	1.59±0.01	2
a ⁶D°_5/2	1.657	1.663	1.66±0.02	1
a ⁶D°_3/2	1.867	1.872	1.88±0.02	2
a ¹⁰P°_9/2	1.960	1.953	1.94±0.01	2
a ¹⁰P°_11/2	1.818	1.808	1.77±0.02	1
a ⁸F°_3/2	2.000	2.000	1.96±0.02	1
a ⁸F°_5/2	1.715	1.714	1.709±0.005	2
a ⁸F°_7/2	1.619	1.619	1.609±0.007	1
a ⁸F°_9/2	1.576	1.576	1.57±0.01	1
a ⁸S°_7/2	2.000	⋯	1.91±0.01	2
Even levels
z ¹⁰P_7/2	2.222	2.200	2.185±0.003	3
z ¹⁰P_9/2	1.960	1.925	1.818±0.005	3
z ¹⁰P_11/2	1.818	1.770	1.76±0.02	1
z ¹⁰P_3/2	3.200	3.123	3.094±0.002	5
z ¹⁰F_5/2	2.229	2.185	2.171±0.001	6
z ¹⁰F_7/2	1.905	1.875	1.862±0.004	7
z ¹⁰F_9/2	1.758	1.738	1.731±0.002	5
z ¹⁰F_11/2	1.678	1.686	1.657±0.005	2
z ⁸P_5/2	2.286	2.373	2.536±0.003	5
z ⁸P_7/2	1.937	1.965	1.949±0.002	5
z ⁸P_9/2	1.778	1.783	1.784±0.007	2
z ¹⁰D_5/2	2.572	2.397	2.308±0.007	4
z ¹⁰D_7/2	2.095	1.971	1.951±0.003	4
z ¹⁰D_9/2	1.879	1.818	1.812±0.003	5
z ¹⁰D_13/2	1.692	1.674	1.65±0.02	1
z ⁸D_3/2	2.800	2.856	2.838±0.001	5
z ⁸D_5/2	2.057	2.097	2.043±0.004	3
z ⁸D_7/2	1.809	1.849	1.832±0.003	4
z ⁸D_9/2	1.697	1.785	1.77±0.02	1
y ⁸P_5/2	2.286	2.238	1.80±0.02	1
y ⁸P_7/2	1.937	1.933	1.743±0.002	5
y ⁸P_9/2	1.778	1.783	1.746±0.005	2
z ⁶P_7/2	1.714	1.807	1.85±0.01	1
z ⁶P_5/2	1.886	1.946	1.94±0.01	1
z ⁸F_1/2	4.000	3.988	3.97±0.02	1
z ⁸F_3/2	2.000	2.007	2.01±0.01	2
z ⁸F_5/2	1.714	1.781	2.173±0.006	4
z ⁸F_7/2	1.619	1.653	1.791±0.007	1
z ⁸F_9/2	1.576	1.599	1.622±0.004	3
y ¹⁰P_7/2	2.222	2.193	2.155±0.006	3
y ⁸D_7/2	1.809	1.793	1.79±0.01	2
y ⁸D_5/2	2.057	2.042	2.025±0.005	5
y ⁸D_3/2	2.800	2.759	2.745±0.01	1
z ⁶D_3/2	1.867	1.201	1.18±0.02	1
z ⁶D_1/2	3.333	−0.491	−0.41±0.02	1
y ⁸F_9/2	1.576	1.578	1.56±0.02	1
y ⁸F_7/2	1.619	1.618	1.60±0.02	1
y ⁸F_5/2	1.714	1.701	1.69±0.01	1
y ⁶P_5/2	1.886	1.896	1.82±0.02	1
y ⁶P_3/2	2.400	2.417	2.40±0.02	1
4 _5/2	⋯	⋯	2.325±0.006	6

Energy	Level	L-S	S-W	Obs^a	Mixing (S-W)^b	Mixing (Obs)	calc. g
32150	y ⁸P_5/2	2.286	2.238	1.80(2)	34(⁸P_D′)23(⁸P_C)13(⁸P_C′)	80(⁸F)20(⁸P)	1.825
32263	y ⁸P_7/2	1.937	1.933	1.743(2)	37(⁸P_D′)14(⁸P_C)17(⁸P_C′)	61(⁸F)39(⁸P)	1.743
32304	y ⁸P_9/2	1.778	1.783	1.746(5)	48(⁸P_D′)25(⁸P_C)	16(⁸F)84(⁸P)	1.746
31977	z ⁸F_1/2	4.000	3.988	3.97(2)	80(⁸F)20(⁸F′)	100(⁸F)	4.000
32049	z ⁸F_3/2	2.000	2.007	2.01(1)	78(⁸F)19(⁸F′)	100(⁸F)	2.000
32260	z ⁸F_5/2	1.714	1.781	2.173(6)	67(⁸F)17(⁸F′)	80(⁸P)20(⁸F)	2.173
32491	z ⁸F_7/2	1.619	1.653	1.791(7)	63(⁸F)16(⁸F′)	61(⁸P)39(⁸F)	1.812
32685	z ⁸F_9/2	1.576	1.599	1.622(4)	62(⁸F)17(⁸F′)	16(⁸P)84(⁸F)	1.608
27298	z ⁸P_5/2	2.286	2.373	2.536(3)	37(¹⁰D)19(⁸P_D′)19(⁸P_C)	87(¹⁰D)13(⁸P)	2.534
29198	z ¹⁰D_5/2	2.572	2.397	2.308(7)	49(¹⁰D)38(⁸P_C)	87(⁸P)13(¹⁰D)	2.321
40092	z ⁶D_3/2	1.867	1.201	1.18(2)	10(⁶D)84(⁶F)
40162	z ⁶D_1/2	3.333	−0.491	−0.41(2)	96(⁶F)

No.	Wavelength	Transition	Weight	Pattern
1	3010.129	a ¹⁰D°_5/2–y ¹⁰P_7/2	III	(0.197, 0.597, 0.999) 1.157, 1.545, 1.942, 2.342, 2.740, 3.135
2	3068.643	a ¹⁰D°_9/2–y ¹⁰ P_7/2	IV	(0.142, 0.427, 0.723, 1.003) 0.857, 1.143, 1.434, 1.722, 2.008, 2.293, 2.593
3	3076.925	a ¹⁰D°_5/2–z ⁸F_7/2	V	(0.376, 1.129, 1.894)-0.083, 0.660, 1.411, 2.153, 2.908
4	3089.954	a ⁶D°_7/2–y ⁶P_5/2	II	0.905, 1.183, 1.427
5	3092.058	a ⁶D°_5/2–y ⁶P_3/2	I	(0.373, 1.102) 0.539, 1.305
6	3098.644	a ¹⁰D°_5/2–y ⁸P_7/2	III	(0.406, 1.221, 2.032)-0.322, 0.509, 1.330, 2.181, 2.991, 3.864
7	3119.941	a ¹⁰D°_7/2–y ⁸P_9/2	V	(0.167, 0.500, 0.833, 1.181) 0.577, 0.908, 1.239, 1.575, 1.907, 2.247, 2.578
8			III	(0.173, 0.519. 0.833, 1.219) 0.579, 0.911, 1.240, 1.577, 1.900
9	3123.989	a ¹⁰D°_7/2–y ⁸P_7/2	IV	(0.860, 1.202) 0.880, 1.229, 1.578, 1.923, 2.242, 2.584, 2.906
10			IV	(0.517, 0.848, 1.197) 0.870, 1.227, 1.571, 1.907, 2.239, 2.575, 2.920
11	3130.812	b ⁸D°_5/2–y ⁸F_5/2	IV	(0.553, 0.925) 1.134, 1.518, 1.878, 2.243, 2.619
12	3133.094	a ¹⁰D°_5/2–z ⁶P_7/2	IV	(0.344, 1.044, 1.736) 0.114, 0.832, 1.516
13	3145.516	b ⁸D°_7/2–y ⁸F_9/2	II	(0.097, 0.340, 0.584, 0.806) 0.751, 0.985, 1.191, 1.434, 1.680, 1.913
14	3146.878	b ⁸D°_5/2–y ⁸F_7/2	I	(0.217, 0.654, 1.083) 0.518, 0.947, 1.383, 1.846
15	3268.335	a ¹⁰D°_7/2–z ⁸P_9/2	I	0.759, 1.040, 1.352
16			IV	(0.146, 0.447, 0.734, 1.043) 0.748, 1.044, 1.338, 1.634, 1.936
17	3331.383	a ¹⁰D°_5/2–z ⁸D_7/2	V	(0.362, 1.090, 1.813) ⋯, 0.743, 1.465, 2.191, 2.927
18	3336.180	a ¹⁰D°_5/2–z ⁸D_5/2	IV	(0.788, 1.293) 1.779, 2.304, 2.821, 3.337
19	3345.985	a ¹⁰D°_5/2–z ⁸D_3/2	IV	(0.139, 0.410) 2.152, 2.418, 2.698, 2.976
20	3358.620	a ¹⁰D°_7/2–z ⁸D_9/2	II	(0.162, 0.498) ⋯, ⋯, ⋯, 1.605, 1.928, 2.242, 2.562, 2.901
21	3360.711	a ¹⁰D°_7/2–z ⁸D_7/2	V	(0.642, 0.879) 1.206, 1.454, 1.713, 1.958, 2.211, 2.460, 2.708
22	3399.991	a ⁸D°_3/2–z ⁸F_5/2	IV	(0.313, 0.938) 1.242, 1.860, 2.493
23			IV	(0.312, 0.948) 1.238, 1.863, 2.502
24	3405.038	a ⁶D°_5/2–z ⁶D_1/2	II	(1.158) 3.060
25	3413.273	a ⁶D°_3/2–z ⁶D_3/2	II	(1.013) 0.885, 1.519, 2.176
26	3416.948	a ⁸D°_7/2–z ⁸F_9/2	III	(0.134, 0.394, 0.642, 0.890) 0.731, 0.971, 1.239, 1.473, 1,741, 2.001
27			III	(0.128, 0.382, 0.633, 0.869) 0.738, 0.959, 1.228, 1.492, 1.740, 1.998
28	3418.733	a ¹⁰D°_5/2–z ¹⁰D_7/2	IV	(0.317, 0.929, 1.538) 0.411, 1.016, 1.631, 2.255, 2.866, 3.464
29			IV	(0.313, 0.922, 1.527) 0.410, 1.021, 1.631, 2.252, 2.854, 3.487
30	3423.92	a ¹⁰D°_5/2–z ¹⁰D_5/2	III	(0.403, 0.638) 1.906, 2.170, 2.405, 2.661, 2.909
31	3424.592	a ⁸D°_3/2–z ⁸F_3/2	III	(0.395, 1.199) 1.650, 2.402, 3.201
32	3425.930	a ⁸D°_5/2–y ⁸P_7/2	IV	(0.151, 0.458, 0.762) 0.978, 1.300, 1.603, 1.890
33			III	(0.147, 0.446, 0.753) 0.976, 1.286, 1.598, 1.901
34	3439.208	a ⁸D°_5/2–y ⁸P_5/2	III	(0.353, 0.582) 1.458, 1.705, 1.919, 2.163, 2.398
35	3454.904	a ¹⁰D°_7/2–z ¹⁰D_5/2	IV	(0.102, 0.329, 0.540) 1.562, 1.773, 1.991, 2.210, 2.429
36	3467.267	a ⁸D°_7/2–z ⁸F_5/2	IV	(0.149, 0.440, 0.746) 1.131, 1.420, 1.719, 2.013, 2.311, 2.585
37			II	(0.132, 0.428, 0.732) 1.106, 1.417, 1.725, 2.007, 2.335
38	3473.219	a ¹⁰D°_7/2–z ¹⁰D_9/2	IV	(0.122, 0.382, 0.658) 0.909, ⋯, 1.423, 1.673, 1.951, 2.202, 2.484
39			IV	(0.130, 0.388, 0.649, 0.910) 0.907, 1.161, 1.424, 1.688, 1.951, 2.192
40			IV	(0.130, 0.391, 0.658, 0.905) 0.908, 1.160, 1.424, 1.692, 1.944, 2.222
41	3491.954	a ¹⁰D°_5/2–4_5/2	I	(0.360, 0.566) 2.036, 2.238, 2.452, 2.680, 2.890
42			II	(0.365, 0.560) 2.022, 2.230, 2.444, 2.661, 2.875
43			II	(0.559) 2.238, 2.461, 2.673
44	3524.196	a ¹⁰D°_7/2–4_5/2	III	(0.118, 0.360, 0.620) 1.473, 1.708, 1.957, 2.185
45			IV	(0.121, 0.361, 0.597) 1.467, 1.719, 1.946
46	3544.985	a ¹⁰P°_7/2–z ⁸F_9/2	II	(0.142, 0.409) 0.676, 0.951, 1.225, 1.496, 1.754
47	3571.933	a ¹⁰D°_6/2–z ⁸P_7/2	I	⋯, ⋯, ⋯, 2.258, 2.867
48	3608.753	b ⁸D°_7/2–y ⁸D_5/2	III	(0.107, 0.329, 0.544) 1.251, 1.457, 1.692, 1.921
49			IV	(0.107, 0.329, 0.555) 1.252, 1.473, 1.693, 1.913, 2.135
50	3613.392	b ⁸D°_5/2–y ⁸D_3/2	III	(0.351) 1.016, 1.705, 2.394
51	3649.44	b ⁸D°_3/2–y ⁸D_5/2	II	(0.375, 1.108) 0.906, 1.664, 2.426
52	3650.95	b ⁸D°_5/2–y ⁸D_7/2	I	(0.126, 0.398, 0.631) 1.113, 1.404, 1.649, 1.921, 2.206
53	3662.26	a ¹⁰D°_5/2–z ⁸P_5/2	IV	(0.314, 0.500) 2.063, 2.263, 2.457, 2.659, 2,852
54	3671.20	a ¹⁰D°_9/2–z ¹⁰F_11/2	IV	(0.108, 0.290, 0.500, 0.726, 0.882) 0.765, 0.944, 1.154, 1.353, 1.557, 1.752
55			V	(0.101, 0.301, 0.499, 0.720, 0.901) 0.757, 0.946, 1.157, 1.358, 1.559, 1.752, 1.960, 2.159
56	3687.74	a ⁸D°_3/2–z ⁸D_5/2	III	(0.373, 1.120) 0.909, 1.659, 2.419, 3.184
57	3697.73	a ¹⁰D°_7/2–z ⁸P_5/2	III	(0.122, 0.412, 0.674) 1.413, 1.671, 1.945, 2.225, 2.494, 2.803
58			III	(0.127, 0.408, 0.679) 1.416, 1.679, 1.943, 2.229, 2.492, 2.813
59			IV	(0.133, 0.403, 0.671) 1.405, 1.670, 1.957, 2.210, 2.472, 2.772
60	3712.70	a ⁸D°_5/2–z ⁸D_7/2	III	(0.098, 0.318, 0.535) 1.302, 1.506, 1.734, 1.907, 2.124
61	3716.36	a ¹⁰D°_7/2–z ¹⁰F_9/2	IV	(0.178, 0.524, 0.879, 1.242) 0.493, 0.845, 1.203, 1.555, 1.910, 2.276, 2.624
62			I	(0.178) ⋯, ⋯, ⋯, 1.549, 1.908, 2.258, 2.593
63			III	(0.172, 0.510, 0.863, 1.212) 0.494, 0.841, 1.192, 1.545, 1.904, 2.255, 2.613, 2.997
64	3730.84	a ⁸D°_5/2–z ⁸D_3/2	V	(0.396, 1.179) 0.870, 1.653, 2.441, 3.228
65			V	(0.396, 1.181) 0.867, 1.654, 2.441, 3.228
66			V	(0.394, 1.183) 0.866, 1.654, 2.450, 3.252
67	3759.00	a ¹⁰D°_5/2–z ¹⁰F_7/2	IV	(0.342, 1.041, 1.726) 0.108, 0.818, 1.516, 2.226, 2.902
68	3796.37	a ¹⁰D°_7/2–z ¹⁰F_7/2	IV	(0353, 0.576, 0.777) 1.317, 1.542, 1.758, 1.975, 2.188, 2.386 2.614
69			II	1.323, 1.562, 1.766, 1.978, 2.198, 2.394, 2.610
70	3813.97	a ¹⁰D°_5/2–z ¹⁰F_5/2	IV	(0.191, 0.588, 0.974) 1.587, 1.976, 2.365, 2.760, 3.144
71			V	(0.587, 0.973) 1.584, 1.974, 2.361, 2.753, 3.137
72	3816.64	a ¹⁰D°_7/2–z ¹⁰P_9/2	II	(0.117, 0.402, 0.677) 0.894, 1.146, 1.411, 1.680, 1.954, 2.232
73			III	(0.134, 0.402, 0.674) 0.892, 1.139, 1.414, 1.680
74	3850.97	a ¹⁰D°_5/2–z ¹⁰F_3/2	IV	(0.267, 0.808) 1.747, 2.293, 2.824
75			III	(0.259, 0.800) 1.746, 2.284, 2.823, 3.362
76			II	1.740, 2.286, 2.822, 3.350
77	3875.46	a ¹⁰F°_5/2–z ⁸D_7/2	III	(0.182, 0.564, 0.918) 0.906, 1.280, 1.652, 2.031
78	3881.84	a ⁸S°_7/2–z ¹⁰D_5/2	I	(0.579, 0.945) 0.945, 1.346
79	3894.696	a ¹⁰D°_5/2–z ¹⁰P_7/2	IV	(0.177, 0.577, 0.935) 1.260, 1.632, 2.003, 2.379, 2.749
80			V	(0.184, 0.560, 0.932) 1.257, 1.628, 1.998, 2.366, 2.747, 3.150
81	3923.346	a ¹⁰F°_7/2–z ⁸D_5/2	II	(0.075, 0.228, 0.367) 1.521, 1.664, 1.784, 1.942, 2.085
82	3971.754	a ¹⁰F°_3/2–z ¹⁰D_5/2	IV	(0.427, 1.281) 1.031, 1.879, 2.739
83	3993.213	a ¹⁰D°_9/2–z ¹⁰P_7/2	III	(⋯, 0.481, 0.777, 1.098) 0.758, 1.070, 1.402, 1.719
84	3994.165	a ¹⁰F°_5/2–z ¹⁰D_7/2	IV	(0.128, 0.392, 0.659) 1.309, 1.565, 1.806, 2.076
85	4140.450	a ¹⁰F°_7/2–4_5/2	IV	(0.220, 0.669, 1.107) 0.782, 1.227, 1.659, 2.107
86	4153.510	a ⁸F°_5/2–y ⁸D_5/2	IV	(0.504, 0.826) 1.217, 1.540, 1.871, 2.197, 2.530
87	4162.732	a ⁸D°_9/2–z ⁸P_7/2	III	(0.083, 0.391, 0.664) 0.758, 1.018, 1.283, 1.548, 1.813
88			IV	(0.129, 0.398, 0.666, 0.930) 0.763, 1.024, 1.295, 1.551, 1.823, 2.074
89	4173.556	a ⁸F°_7/2–y ⁸D_5/2	V	(0.211, 0.630, 1.052) 0.556, 0.974, 1.398, 1.817
90	4204.857	a ¹⁰F°_5/2–z ⁸P_7/2	V	(0.125, 0.377, 0.631) 1.317, 1.569, 1.816, 2.071, 2.339
91			V	(0.126, 0.378, 0.633) 1.316, 1.569, 1.820, 2.076
92	4215.023	a ⁸S°_7/2–z ¹⁰F_9/2	II	(0.087, 0.271, 0.428) 1.122, 1.317, 1.512, 1.680
93	4217.195	a ¹⁰F°_11/2–z ¹⁰D_9/2	IV	(0.075, 0.230, 0.381, 0.528, 0.686) 0.969, 1.123, 1.272, 1.423, 1.582, 1.734
94			V	(0.076, 0.229, 0.384, 0.540, 0.688) 0.970, 1.127, 1.278, 1.429, 1.571
95	4229.803	a ⁸F°_9/2–y ⁸D_7/2	III	(0.108, 0.328, 0.552, 0.781) 0.799, 1.014, 1.244
96	4251.733	a ⁸D°_5/2–z ¹⁰F_7/2	IV	(0.094, 0.279) 1.401, 1.584, 1766
97			III	(0.088, 0.265) 1.399, 1.576, 1.754, 1.944, 2.149
98	4280.490	a ⁸D°_3/2–z ¹⁰F_5/2	V	(0.315, 0.951) 1.225, 1.854, 2.485
99			V	(0.314, 0.944) 1.227, 1.856, 2.488
100			IV	(0.315, 0.950) 1.222, 1.859, 2.482, 3.120
101	4296.076	a ¹⁰F°_3/2–z ⁸P_5/2	IV	(0.399) 1.167, 1.965, 2.758
102	4408.248	a ¹⁰F°_7/2–z ¹⁰F_9/2	V	1.168, 1.325, 1.491, 1.651
103	4419.032	a ⁸D°_9/2–z ¹⁰F_7/2	I	1.082, 1.244, 1.438, 1.619
104	4466.547	a ¹⁰F°_5/2–z ¹⁰F_7/2	II	(0.174, 0.511) 1.007, 1.340, 1.677, 2.035, 2.385
105	4471.29	a ⁶D°_7/2–z⁶P_5/2	III	(0.163, 0.522, 0.853) 0.756, 1.092, 1.433, 1.767
106	4514.505	a ¹⁰P°_9/2–y ¹⁰P_7/2	III	(⋯, 0.333, 0.559, 0.773) 1.197, 1.413, 1.619, 1.844, 2.059
107	4558.080	a ¹⁰F°_3/2–z ¹⁰F_3/2	II	(0.076) 3.125
108	4596.978	a ¹⁰F°_5/2–z ¹⁰F_3/2	III	(0.450, 1.336) 0.869, 1.759
109	4601.05	a ¹⁰F°_7/2–z ¹⁰F_5/2	IV	(0.139, 0.423) 1.188, 1.471
110	4865.02	b ⁸D°_5/2–z ⁸D_3/2	IV	(0.394, 1.179) 0.874, 1.658
111	5125.56	a ¹⁰P°_11/2–z ¹⁰D_13/2	I	0.973, 1.098, 1.240, 1.352
112	5186.915	a ⁸F°_3/2–z ⁸F_1/2	I	(0.886) 0.955, 2.962
113	5187.237	a ⁸F°_5/2–z ⁸F_3/2	II	(0.155, 0.422) 1.273, 1.588
114	5220.297	a ⁶D°_9/2–z ¹⁰D_7/2	I	(0.197) 0.182, 0.600, 0.905
115	5583.68	b ⁸D°_11/2–z ¹⁰P_9/2	II	0.855, 1.029, 1.205, 1.389, 1.569, 1.747
116	5733.86	a ¹⁰P°_9/2–z ¹⁰P_11/2	II	1.008, 1.176, 1.354, 1.524, 1.702, 1.870
				Unclassified Lines
117	3364.241	5/2?–5/2?		1.032, 2.146, 2.991
118	3622.810	11/2?–9/2?		(0.126, 0.387, 0.643, 0.891) 0.444, 0.681, 0.965, 1.193, 1.455
119				(0.121, 0.391, 0.641, 0.887) 0.443, 0.696, 0.955, 1.197, 1.476
120	3694.03	7/2?–5/2?		(0.186, 0.607, 0.980) 0.670, 1.061, 1.448

Level	L-S	S-W	Obs.	No. of Obs.

Odd levels
a ¹⁰D°_5/2	2.572	2.570	2.557±0.001	23
a ¹⁰D°_7/2	2.095	2.093	2.082±0.001	24
a ¹⁰D°_9/2	1.879	1.877	1.860±0.002	4
a ⁸D°_3/2	2.800	2.827	2.803±0.002	7
a ⁸D°_5/2	2.057	2.064	2.044±0.002	9
a ⁸D°_7/2	1.809	1.810	1.870±0.003	4
a ⁸D°_9/2	1.697	1.697	1.69±0.01	3
a ¹⁰F°_3/2	3.200	3.159	3.163±0.005	3
a ¹⁰F°_5/2	2.229	2.211	2.205±0.004	6
a ¹⁰F°_7/2	1.905	1.895	1.894±0.002	5
a ¹⁰F°_11/2	1.678	1.674	1.657±0.005	2
b ⁸D°_11/2	1.636	1.641	1.64±0.02	1
b ⁸D°_7/2	1.809	1.815	1.794±0.004	3
b ⁸D°_5/2	2.057	2.058	2.055±0.004	5
b ⁸D°_3/2	2.800	2.801	2.78±0.02	1
a ⁶D°_9/2	1.556	1.560	1.56±0.02	1
a ⁶D°_7/2	1.587	1.594	1.59±0.01	2
a ⁶D°_5/2	1.657	1.663	1.66±0.02	1
a ⁶D°_3/2	1.867	1.872	1.88±0.02	2
a ¹⁰P°_9/2	1.960	1.953	1.94±0.01	2
a ¹⁰P°_11/2	1.818	1.808	1.77±0.02	1
a ⁸F°_3/2	2.000	2.000	1.96±0.02	1
a ⁸F°_5/2	1.715	1.714	1.709±0.005	2
a ⁸F°_7/2	1.619	1.619	1.609±0.007	1
a ⁸F°_9/2	1.576	1.576	1.57±0.01	1
a ⁸S°_7/2	2.000	⋯	1.91±0.01	2
Even levels
z ¹⁰P_7/2	2.222	2.200	2.185±0.003	3
z ¹⁰P_9/2	1.960	1.925	1.818±0.005	3
z ¹⁰P_11/2	1.818	1.770	1.76±0.02	1
z ¹⁰P_3/2	3.200	3.123	3.094±0.002	5
z ¹⁰F_5/2	2.229	2.185	2.171±0.001	6
z ¹⁰F_7/2	1.905	1.875	1.862±0.004	7
z ¹⁰F_9/2	1.758	1.738	1.731±0.002	5
z ¹⁰F_11/2	1.678	1.686	1.657±0.005	2
z ⁸P_5/2	2.286	2.373	2.536±0.003	5
z ⁸P_7/2	1.937	1.965	1.949±0.002	5
z ⁸P_9/2	1.778	1.783	1.784±0.007	2
z ¹⁰D_5/2	2.572	2.397	2.308±0.007	4
z ¹⁰D_7/2	2.095	1.971	1.951±0.003	4
z ¹⁰D_9/2	1.879	1.818	1.812±0.003	5
z ¹⁰D_13/2	1.692	1.674	1.65±0.02	1
z ⁸D_3/2	2.800	2.856	2.838±0.001	5
z ⁸D_5/2	2.057	2.097	2.043±0.004	3
z ⁸D_7/2	1.809	1.849	1.832±0.003	4
z ⁸D_9/2	1.697	1.785	1.77±0.02	1
y ⁸P_5/2	2.286	2.238	1.80±0.02	1
y ⁸P_7/2	1.937	1.933	1.743±0.002	5
y ⁸P_9/2	1.778	1.783	1.746±0.005	2
z ⁶P_7/2	1.714	1.807	1.85±0.01	1
z ⁶P_5/2	1.886	1.946	1.94±0.01	1
z ⁸F_1/2	4.000	3.988	3.97±0.02	1
z ⁸F_3/2	2.000	2.007	2.01±0.01	2
z ⁸F_5/2	1.714	1.781	2.173±0.006	4
z ⁸F_7/2	1.619	1.653	1.791±0.007	1
z ⁸F_9/2	1.576	1.599	1.622±0.004	3
y ¹⁰P_7/2	2.222	2.193	2.155±0.006	3
y ⁸D_7/2	1.809	1.793	1.79±0.01	2
y ⁸D_5/2	2.057	2.042	2.025±0.005	5
y ⁸D_3/2	2.800	2.759	2.745±0.01	1
z ⁶D_3/2	1.867	1.201	1.18±0.02	1
z ⁶D_1/2	3.333	−0.491	−0.41±0.02	1
y ⁸F_9/2	1.576	1.578	1.56±0.02	1
y ⁸F_7/2	1.619	1.618	1.60±0.02	1
y ⁸F_5/2	1.714	1.701	1.69±0.01	1
y ⁶P_5/2	1.886	1.896	1.82±0.02	1
y ⁶P_3/2	2.400	2.417	2.40±0.02	1
4 _5/2	⋯	⋯	2.325±0.006	6

Abstract

Corrections

Cited By

Figures (1)

Tables (3)

Equations (1)

Journal of the Optical Society of America