Level Structure of Singly Ionized Thulium (Tm ii)†

Nissan Spector

doi:10.1364/JOSA.57.000312

Journal of the Optical Society of America
Vol. 57,
Issue 3,
pp. 312-317
(1967)
•https://doi.org/10.1364/JOSA.57.000312

Level Structure of Singly Ionized Thulium (Tm ii)

Nissan Spector

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Nissan Spector, "Level Structure of Singly Ionized Thulium (Tm ii)†," J. Opt. Soc. Am. 57, 312-317 (1967)

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Abstract

The structure of about 40 low-energy levels of singly ionized thulium is given. The twenty 4f¹²(³H₆)5d6s levels are interpreted in J_IJ_II and J_IL_II coupling schemes, and the twelve 4f¹²(³H₆)6s6p and six of the 4f¹³6p levels are given J_IJ_II designations. The first three levels of 4f¹²6s² are established. The intensity relations of the transitions connecting some of the levels are discussed. The following values for the interaction parameters are obtained directly from these levels:

ζ_f =25 06 cm⁻¹	G_fs = 212 cm⁻¹
ζ_d =121 3 cm⁻¹	G_ds = 1535 cm⁻¹
ζ_p = 2111 cm⁻¹ (from 4f¹³6p)	G_ps = 2613 cm⁻¹
ζ_p = 3467 cm⁻¹ (from 4f¹²6s6p)

More than 200 lines are classified.

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Configuration	Designation	J	Energy level (cm⁻¹)
4f¹²6s²	³H₆	6	12 457.25

	³F₄	4	17 974.28

	³H₅	5	20 619.01

4f¹³6p	$4 f^{13} ({{}^{2}F}_{3 \frac{1}{2}}) 6 p_{0 \frac{1}{2}}$	3	25 980.02
		4	26 574.66

	$6 p_{1 \frac{1}{2}}$	5	28 875.14
		3	29 424.99
		2	29 285.71
		4	30 377.19

4f¹²5d6s	(³H₆) ³[4]	5	16 567.48
		4	18 291.35
		3	21 608.26

	³[5]	6	19 526.80
		5	21 022.00
		4	22 308.84

	³[8]	7	19 619.07
		8	19 682.96
		9	20 465.79

	³[6]	7	22 052.42
		6	22 355.44
		5	23 768.85

	³[7]	8	23 024.31
		6	23 904.45
		7	23 961.56

	¹[4]	4	23 803.26

	¹[8]	8	24 059.10

	¹[5]	5	25 014.75

	¹[7]	7	26 256.25

	¹[6]	6	26 478.30

Designation	J	Energy level (cm⁻¹)
(³H₆) ²D₁	5	16 567.48
	6	19 526.80
	7	22 052.42
³D₂	4	18 291.35
	5	21 022.00
	6	22 355.44
	7	19 619.07
	8	19 682.96
³D₃	3	21 608.26
	4	22 308.84
	5	23 768.85
	6	23 904.45
	7	23 961.56
	8	23 024.31
	9	20 465.79
¹D₂	4	23 803.26
	5	25 014.75
	6	26 478.30
	7	26 256.25
	8	24 059.10

Configuration	Designation	J	Energy level (cm⁻¹)
4f¹²6s6p	4f¹²(³H₆)6s6p ³P₀	6	38 225.43
	³P₁	5	39 863.78
		6	39 477.58
		7	39 638.36
	³P₂	4	43 217.64
		5	43 840.80
		6	43 998.80
		7	43 717.20
		8	42 570.90
	¹P₁	5	45 987.87
		6	48 195.94
		7	47 299.66
	4f¹²(³F₄)6s6p ³P₀	4	44 237.16
	³P₁	3	45 338.23
		4	44 838.23
		5	45 191.24
Miscellaneous		6	47 927.12
		6	49 195.01
		7	49 765.67
		5	49 792.39
		5	50 274.63
		5	51 081.50
		7	52 331.33
		7	52 661.66
		7	53 738.88
		7	57 573.23

Configuration	Designation	J	Energy level (cm⁻¹)
4f¹²6s²	³H₆	6	12 457.25

	³F₄	4	17 974.28

	³H₅	5	20 619.01

4f¹³6p	$4 f^{13} ({{}^{2}F}_{3 \frac{1}{2}}) 6 p_{0 \frac{1}{2}}$	3	25 980.02
		4	26 574.66

	$6 p_{1 \frac{1}{2}}$	5	28 875.14
		3	29 424.99
		2	29 285.71
		4	30 377.19

4f¹²5d6s	(³H₆) ³[4]	5	16 567.48
		4	18 291.35
		3	21 608.26

	³[5]	6	19 526.80
		5	21 022.00
		4	22 308.84

	³[8]	7	19 619.07
		8	19 682.96
		9	20 465.79

	³[6]	7	22 052.42
		6	22 355.44
		5	23 768.85

	³[7]	8	23 024.31
		6	23 904.45
		7	23 961.56

	¹[4]	4	23 803.26

	¹[8]	8	24 059.10

	¹[5]	5	25 014.75

	¹[7]	7	26 256.25

	¹[6]	6	26 478.30

Designation	J	Energy level (cm⁻¹)
(³H₆) ²D₁	5	16 567.48
	6	19 526.80
	7	22 052.42
³D₂	4	18 291.35
	5	21 022.00
	6	22 355.44
	7	19 619.07
	8	19 682.96
³D₃	3	21 608.26
	4	22 308.84
	5	23 768.85
	6	23 904.45
	7	23 961.56
	8	23 024.31
	9	20 465.79
¹D₂	4	23 803.26
	5	25 014.75
	6	26 478.30
	7	26 256.25
	8	24 059.10

λ (Å)	Intensity		σ (cm⁻¹)	Odd level (cm⁻¹)	J	Even level (cm⁻¹)	J
λ (Å)	Spark	Arc	σ (cm⁻¹)	Odd level (cm⁻¹)	J	Even level (cm⁻¹)	J
6732.57	6	1	14 849.07	39 863	6	25 014	5
6419.53	30	2	15 573.16	39 477	6	23 904	6
6377.08	15	2	15 676.81	39 638	7	23 961	7
6364.13	10	1	15 708.74	39 477	6	23 768	5
6353.91	5		15 733.99	39 638	7	23 904	6
6299.45	40	6	15 870.01	38 225	6	22 355	6
6181.42	150	10	16 173.05	38 225	6	22 052	7
6017.30	1		16 614.15	39 638	7	23 024	8
5838.78	200	20	17 122.13	39 477	6	22 355	6
5811.18	50	4	17 203.45	38 225	6	21 022	5
5757.95	3		17 362.48	43 840	5	26 478	6
5737.23	20	3	17 425.20	39 477	6	22 052	7
5725.62	3	2	17 460.51	43 717	7	26 256	7
5709.98	60	10	17 508.35	39 863	5	22 355	6
5694.82	3		17 554.95	39 863	5	22 308	4
5684.77	50	15	17 585.97	39 638	7	22 052	7
5663.40	5	1	17 652.33	43 840	5	26 188	5
5634.60	2		17 742.55	43 998	6	26 256	7
5566.34	1		17 960.14	43 217	4	25 257	3
5561.96	1		17 974.28	0	4	17 974	4
5539.03	20	4	18 048.69	44 237	4	26 188	5
5492.11	4	1	18 202.87	43 217	4	25 014	5
5465.54	10		18 291.37	0	4	18 291	4
5416.91	4		18 455.58	39 477	6	21 022	5
5400.46	20	4	18 511.79	42 570	8	24 059	8
5391.97	20	5	18 540.96	44 237	4	25 696	4
5373.01	30	6	18 606.37	38 225	6	19 619	7
5372.16	2		18 609.33	42 570	8	23 961	7
5346.50	100	20	18 698.62	38 225	6	19 526	6
5342.41	8	2	18 712.95	45 191	5	26 478	6
5310.30	1		18 826.08	43 840	5	25 014	5
5305.88	50	15	18 841.79	39 863	5	21 022	5
5301.17	2		18 858.51	39 477	6	20 619	5
5267.34	30	10	18 979.63	44 237	4	25 257	3
5266.12	3		18 984.04	43 998	6	25 014	5
5260.93	10	2	19 002.76	45 191	5	26 188	5
5194.78	4		19 244.73	39 863	5	20 619	5
5149.40	40	10	19 414.32	43 217	4	23 803	4
5140.28	20	6	19 448.79	43 217	4	23 768	5
5128.09	7	2	19 495.02	45 191	5	25 696	4
5124.26	6	2	19 509.58	45 987	5	26 478	6
5114.55	40	10	19 546.60	42 570	8	23 024	8
5085.53	4	1	19 658.17	43 717	7	24 059	8
5060.43	40	10	19 755.64	43 717	7	23 961	7
5049.25	5	1	19 799.40	45 987	5	26 188	5
5043.12	6	1	19 823.47	44 838	4	25 014	5
5039.06	6	2	19 839.44	45 338	3	25 498	2
5034.24	80	30	19 858.44	39 477	6	19 619	7
5014.56	30	8	19 936.36	43 840	5	23 904	6
5010.94	8	2	19 950.78	39 477	6	19 526	6
5009.78	80	30	19 955.40	39 638	7	19 682	8
4993.78	15	5	20 019.34	39 638	7	19 619	7
4989.32	50	15	20 037.24	43 998	6	23 961	7
4980.68	40	12	20 071.97	43 840	5	23 768	5
4975.12	30	10	20 094.39	43 998	6	23 904	6
4970.87	30	10	20 111.60	39 638	7	19 526	6
4954.88	5	1	20 176.49	45 191	5	25 014	5
4941.78	2		20 229.97	43 998	6	23 768	5
4872.28	10	3	20 518.53	42 570	8	22 052	7
4831.20	50	20	20 692.99	43 717	7	23 024	8
4801.41	5	2	20 821.40	47 299	7	26 478	6
4781.32	8	3	20 908.90	43 217	4	22 308	4
4766.68	2		20 973.12	45 987	5	25 014	5
4750.75	20	5	21 043.41	47 299	7	26 256	7
4696.44	1		21 286.77	45 191	5	23 904	6
4679.94	2		21 361.83	43 717	7	22 355	6
4674.22	3		21 387.94	45 191	5	23 803	4
4666.70	8	1	21 422.44	45 191	5	23 768	5
4653.03	7	2	21 485.37	43 840	5	22 355	6
4642.96	10	2	21 531.96	43 840	5	22 308	4
4634.26	40	10	21 572.40	39 863	5	18 291	4
4626.33	20	5	21 609.34	43 217	4	21 608	3
4619.06	15	3	21 643.37	43 998	6	22 355	6
4615.95	80	30	21 657.95	38 225	6	16 567	5
4614.47	10	3	21 664.89	43 717	7	22 052	7
4613.20	10	2	21 670.84	47 927	7	26 256	6
4567.11	20	3	21 889.56	39 863	5	17 974	4
4559.04	4		21 928.30	44 237	4	22 308	4
4556.69	20	6	21 939.61	48 195	6	26 256	6
4555.28	15	3	21 946.41	43 998	6	22 052	7
4542.63	1		22 007.51	48 195	6	26 188	5
4522.57	100	40	22 105.11	42 570	8	20 465	9
4504.14	2		22 195.57	43 217	4	21 022	5
4437.40	10	2	22 529.39	44 838	4	22 308	4
4400.82	2		22 716.68	49 195	6	26 478	6
4381.12	6	1	22 818.80	43 840	5	21 022	5
4377.86	4		22 835.79	45 191	5	22 355	6
4367.89	15	3	22 887.94	42 570	8	19 682	8
4363.66	20	3	22 910.09	39 477	6	16 567	5
4358.21	4	1	22 938.74	49 195	6	26 256	6
4355.70	2		22 951.97	42 570	8	19 619	7
4350.99	10	2	22 976.77	43 998	6	21 022	5
4312.62	3		23 181.24	48 195	6	25 014	5
4292.97	5	1	23 287.37	49 765	7	26 478	6
4291.32	1		23 296.30	39 863	5	16 567	5
4252.42	4	1	23 509.38	49 765	7	26 256	6
4235.40	1		23 603.87	49 792	5	26 188	5
4221.96	3		23 679.03	45 987	5	22 308	4
4212.89	2		23 729.99	45 338	3	21 608	3
4201.14	4	1	23 796.34	50 274	5	26 478	6
4197.63	1		23 816.26	44 838	4	21 022	5
4161.56	1		24 022.68	47 927	6	23 904	6
4159.55	15	3	24 034.31	43 717	7	19 682	8
4148.51	2		24 098.24	43 717	7	19 619	7
4134.44	4	1	24 180.26	49 195	6	25 014	5
4132.69	15	4	24 190.47	43 717	7	19 526	6
4118.24	1		24 275.39	47 299	7	23 024	8
4100.61	4		24 379.72	43 998	6	19 619	7
4085.15	2		24 471.97	43 998	6	19 526	6
4063.36	4		24 603.20	51 081	5	26 478	6
4034.76	8	2	24 777.62	49 792	5	25 014	5
3996.52	200	10	25 014.71	0	4	25 014	5
3960.32	1		25 243.34	43 217	4	17 974	4
3912.87	4		25 549.45	43 840	5	18 291	4
3888.95	7	2	25 706.60	49 765	7	24 059	8
3879.66	10	1	25 768.18	38 225	6	12 457	6
3866.92	3	1	25 853.05	52 331	7	26 478	6
3865.69	3		25 861.26	49 765	7	23 904	6
3864.91	8	2	25 866.50	43 840	5	17 974	4
3853.10	8	2	25 945.77	44 237	4	18 291	4
3835.21	1		26 066.80	51 081	5	25 014	5
3833.99	3	1	26 075.06	52 331	7	26 256	7
3818.13	1		26 183.37	52 661	7	26 478	6
3817.40	80	10	26 188.44	0	4	26 188	5
3791.08	2		26 370.25	50 274	5	23 904	6
3786.03	8	2	26 405.41	52 661	7	26 256	7
3778.06	10	2	26 461.08	45 987	5	19 526	6
3771.71	1		26 505.66	50 274	5	23 768	5
3765.85	20	3	26 546.87	44 838	4	18 291	4
3738.46	4		26 741.40	49 765	7	23 024	8
3725.06	200	15	26 837.57	0	4	26 837	3
3724.78	3		26 839.60	49 195	6	22 355	6
3721.40	1		26 863.95	44 838	4	17 974	4
3716.43	1		26 899.89	45 191	6	18 291	4
3715.70	4		26 905.15	47 927	6	21 022	5
3699.87	20	3	27 020.30	39 477	6	12 457	6
3696.24	2		27 046.86	45 338	3	18 291	4
3683.20	20	8	27 142.61	49 195	6	22 052	7
3678.95	30	5	27 173.96	48 195	6	21 022	5
3678.54	6	2	27 177.00	51 081	5	23 904	6
3677.98	80	10	27 181.11	39 638	7	12 457	6
3673.14	20	3	27 216.94	45 191	5	17 974	4
3667.26	10	2	27 260.57	53 738	7	26 478	6
3660.88	20	3	27 308.07	47 927	6	20 619	5
3660.26	1		27 312.66	51 081	5	23 768	5
3653.41	4		27 363.91	45 338	3	17 974	4
3647.73	40	6	27 406.50	39 863	5	12 457	6
3647.23	40	10	27 410.23	49 765	7	22 355	6
3644.43	2		27 431.35	43 998	6	16 567	5
3643.66	150	20	27 437.15	49 792	5	22 355	6
3637.63	3		27 482.60	53 738	7	26 256	7
3637.50	2		27 483.58	49 792	5	22 308	4
3619.97	30	6	27 616.66	47 299	7	19 682	8
3613.03	12	1	27 669.72	44 237	4	16 567	5
3611.61	8		27 680.57	47 299	7	19 619	7
3609.54	50	10	27 696.50	45 987	5	18 291	4
3607.35	20	5	27 713.28	49 765	7	22 052	7
3574.78	5	1	27 965.80	50 274	5	22 308	4
3568.68	6	1	28 013.57	45 987	5	17 974	4
3548.48	15	3	28 173.03	49 195	6	21 022	5
3536.21	80	15	28 270.76	44 838	4	16 567	5
3536.03	2		28 272.20	52 331	7	24 059	8
3523.88	1		28 369.72	52 331	7	23 961	7
3520.08	5		28 400.30	47 927	6	19 526	6
3498.44	1		28 575.99	49 195	6	20 619	5
3495.19	10	2	28 602.55	52 661	7	24 059	8
3487.08	15	3	28 669.09	48 195	6	19 526	6
3483.31	1		28 700.10	52 661	7	23 961	7
3474.53	2		28 772.66	51 081	5	22 308	4
3417.52	6	1	29 252.64	50 274	5	21 022	5
3411.16	2		29 307.13	52 331	7	23 024	8
3398.03	20	5	29 420.42	45 987	5	16 567	5
3373.15	3		29 637.38	52 661	7	23 024	8
3369.64	20	3	29 668.20	49 195	6	19 526	6
3368.33	20	4	29 679.74	53 738	7	24 059	8
3357.30	8	2	29 777.25	53 738	7	23 961	7
3350.87	5	1	29 834.43	53 738	7	23 904	6
3335.06	15	2	29 975.88	52 331	7	22 355	6
3325.78	6	1	30 059.50	51 081	5	21 022	5
3323.21	30	6	30 082.70	47 299	7	19 682	8
3316.17	10	2	30 146.59	49 765	7	19 619	7
3301.67	4		30 278.95	52 331	7	22 052	7
3298.70	4		30 306.25	52 661	7	22 355	6
3266.05	3		30 609.19	52 661	7	22 052	7
3254.85	6	1	30 714.56	53 738	7	23 024	8
3251.33	10	2	30 747.78	50 274	5	19 526	6
3215.02	3		31 095.02	57 573	7	26 478	6
3198.05	1		31 259.98	43 717	7	12 457	6
3185.47	30	4	31 383.43	43 840	5	12 457	6
3173.58	60	10	31 501.02	49 792	5	18 291	4
3169.51	2		31 541.48	43 998	6	12 457	6
3168.19	40	8	31 554.63	51 081	5	19 526	6
3160.79	3		31 628.46	48 195	6	16 567	5
3155.01	2		31 686.46	53 738	7	22 052	7
3141.96	10	1	31 818.09	49 792	5	17 974	4
3125.73	10	1	31 983.27	50 274	5	18 291	4
3064.01	15	2	32 627.51	49 195	6	16 567	5
3062.06	12	3	32 648.32	52 331	7	19 682	8
3056.07	30	20	32 712.29	52 331	7	19 619	7
3054.04	30	6	32 733.95	45 191	5	12 457	6
3048.82	20	5	32 790.09	51 081	5	18 291	4
3047.48	3		32 804.51	52 331	7	19 526	6
3025.48	1		33 042.97	52 661	7	19 619	7
3019.62	2		33 107.15	51 081	5	17 974	4
3017.09	20	8	33 134.81	52 661	7	19 526	6
3008.91	15	3	33 224.92	49 792	5	16 567	5
2982.94	1		35 514.24	57 573	7	24 059	8
2981.48	50	20	33 530.59	45 987	5	12 457	6
2965.86	40	15	33 707.14	50 274	5	16 567	5
2935.49	4		34 055.91	53 738	7	19 682	8
2929.99	2		34 119.83	53 738	7	19 619	7
2922.09	8	3	34 212.07	53 738	7	19 526	6
2896.52	8		34 514.10	51 081	5	16 567	5
2893.60	1		34 548.90	57 573	7	23 024	8
2869.22	60	30	34 842.41	47 299	7	12 457	6
2838.63	3	2	35 217.94	57 573	7	22 355	6
2818.47	15	2	35 469.85	47 927	6	12 457	6
2814.42	6	2	35 520.94	57 573	7	22 052	6
2797.27	30	10	35 738.67	48 195	6	12 457	6
2721.19	30	10	36 737.77	49 195	6	12 457	6
2679.56	20	6	37 308.43	49 765	7	12 457	6
2643.50	5		37 817.37	50 274	5	12 457	6
2638.41	5	2	37 890.38	57 573	7	19 682	8
2633.97	3		37 954.22	57 573	7	19 619	7
2627.58	1		38 046.56	57 573	7	19 526	6
2588.27	30	20	38 624.29	51 081	5	12 457	6
2507.14	8	4	39 874.07	52 331	7	12 457	6
2486.53	2		40 204.52	52 661	7	12 457	6
2421.64	6	1	41 281.76	53 738	7	12 457	6

Configuration		4f¹²(³H₆) 6s6p³P₀		³P₁						³P₂										¹P₁

	J	6		5		6		7		4		5		6		7		8		5		6		7
4f¹²(³H₆)6s²	6	10	1	40	6	20	3	80	10			30	4	2	0	1	0			50	20	30	10	60	30
4f¹²(³H₆)5d6s ³D₁	5	80	30	1	0	20	3							2	0					20	5	3	0
	6	100	20			8	2	30	10					2	0	15	4			10	2	15	3
	7	150	10			20	3	50	15					15	3	10	3	10	3
³D₂	4			40	10							4	0							50	10
	5	50	4	50	15	4	0			2	0	6	1	10	2							30	5
	6	40	6	60	10	200	2					7	2	15	3	2	0							2	0
	7	30	6			80	30	15	5					4	0	2	0	2	0					8	0
	8							80	30							15	3	15	3					30	6
³D₃	3									20	5
	4			3	0					8	3	10	2							3	0
	5					10	1			20	6	40	12	2	0
	6			5	0	30	2	5	0			30	8	30	10							0	0
	7							15	2					50	15	40	10	2	0
	8							1	0							50	20	40	10					1	0
	9																	100	40
¹D₂	4									40	10
	5									4	1	1	0	3	0							3	0
	6											3	0							2	0
	7													2	0	3	2			6	2	20	6	5	2
	8															4	1	20	4					20	5

Abstract

Cited By

Figures (2)

Tables (5)

Equations (1)

Journal of the Optical Society of America