New Energy Levels of Triply Ionized Praseodymium

Jack Sugar

doi:10.1364/JOSA.61.000727

Journal of the Optical Society of America
Vol. 61,
Issue 6,
pp. 727-732
(1971)
•https://doi.org/10.1364/JOSA.61.000727

New Energy Levels of Triply Ionized Praseodymium

Jack Sugar

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Jack Sugar, "New Energy Levels of Triply Ionized Praseodymium," J. Opt. Soc. Am. 61, 727-732 (1971)

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Abstract

Measurements of the spectrum of triply ionized praseodymium produced by a 500-A sliding-spark discharge revealed new high-lying energy levels of both even and odd parity. Nearly all levels of the 4f5f configuration were found as well as portions of 4f6d, 4f7s, and 5d6p. Radial parameters were fitted to 4f5f and 4f6d. A value for the ionization limit of 314 200±200 cm⁻¹ was deduced from the 4f6s, 7s series.

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Configuration	Designation	J	Energy/hc (cm⁻¹)
4f(²F_5/2)6d	$(\frac{5}{2}, \frac{3}{2}) °$	2	193 330.5
		4	193 601.8
		3	193 805.1
	$(\frac{5}{2}, \frac{5}{2}) °$	4	194 022.2
		5	194 777.2 ?
4f(²F_7/2)6d	$(\frac{7}{2}, \frac{3}{2}) °$	4	196 584.7
		5	198 304.7
	$(\frac{7}{2}, \frac{5}{2}) °$	4	196 800.0
		5	197 103.7
		6	197 196.9
		3	198 155.4 ?
4f(²F_5/2)7s	$(\frac{5}{2}, \frac{1}{2}) °$	3	199 727.7
5d6p	³F°	4	195 917.0
	¹F°	3	202 487.0
4f(²F_5/2)5f	$[\frac{7}{2}]$	3	199 191.0
		4	200 202.6
	$[\frac{11}{2}]$	5	199 595.8
		6	200 893.8
	$[\frac{3}{2}]$	1	199 815.5
		2	200 697.1
	$[\frac{9}{2}]$	5	200 235.1
		4	201 985.3
	$[\frac{5}{2}]$	3	200 417.0
		2	202 819.0
	$[\frac{1}{2}]$	1	201 365.2
4f(²F_7/2)5f	$[\frac{9}{2}]$	5	202 327.9
		4	204 541.7
	$[\frac{5}{2}]$	3	202 614.7
		2	205 541.6
	$[\frac{13}{2}]$	7	202 948.9
		6	206 299.4
	$[\frac{3}{2}]$	1	203 265.4
		2	207 046.3
	$[\frac{11}{2}]$	5	204 032.1
		6	204 815.6
	$[\frac{7}{2}]$	3	204 557.0
		4	205 748.3
	$[\frac{1}{2}]$	1	206 369.4

Parameter	Value (cm⁻¹)
A	203 084± 8
F²	5444± 59
F⁴	4326±170
F⁶	1767±170
G⁰	1830± 9
G²	2510± 62
G⁴	3159±180
G⁶	1547±140
ζ(4f)	860± 5
ζ(5f)	53± 5
rms error of calculated levels = 24 cm⁻¹

J	Levels calculated (cm⁻¹)	Levels observed (cm⁻¹)	Obs. minus calc.	Composition in jl coupling	Composition in LS coupling
0	205 084			$\begin{matrix} \frac{5}{2} [\frac{1}{2}] 89 %, & * \frac{7}{2} [\frac{1}{2}] 11 % \end{matrix}$	³P 87% , ¹S 13%
	209 781			$\begin{matrix} \frac{7}{2} [\frac{1}{2}] 89, & \frac{5}{2} [\frac{1}{2}] 11 \end{matrix}$	¹S 87 , *³P 13
1	199 801	199 816	15	$\begin{matrix} \frac{5}{2} [\frac{3}{2}] 87, & * \frac{5}{2} [\frac{1}{2}] 12 \end{matrix}$	³D 64 , ¹P 32
	201 357	201 365	8	$\begin{matrix} \frac{5}{2} [\frac{1}{2}] 70, & * \frac{7}{2} [\frac{3}{2}] 16, & * \frac{5}{2} [\frac{3}{2}] 7 % \end{matrix}$	³S 55 , ³D 20 , ¹P 16%
	203 272	203 265	−7	$\begin{matrix} * \frac{7}{2} [\frac{3}{2}] 52, & * \frac{7}{2} [\frac{1}{2}] 46 \end{matrix}$	¹P 51 , ³S 35 , *³D 14
	206 363	206 369	6	$\begin{array}{l} \frac{7}{2} [\frac{1}{2}] 47, & \frac{7}{2} [\frac{3}{2}] 32, & \frac{5}{2} [\frac{3}{2}] 16 \end{array}$	³P 91
2	200 715	200 697	−18	$\begin{array}{l} \frac{5}{2} [\frac{3}{2}] 55, & * \frac{5}{2} [\frac{5}{2}] 25, & \frac{7}{2} [\frac{5}{2}] 10 \end{array}$	³D 89 , *³F 7
	202 792	202 819	27	$\begin{array}{l} \frac{5}{2} [\frac{5}{2}] 74, & \frac{5}{2} [\frac{3}{2}] 20 \end{array}$	³F 71 , ¹D 24
	205 516	205 542	26	$* \begin{array}{l} \frac{7}{2} [\frac{5}{2}] 74, & \frac{5}{2} [\frac{3}{2}] 21 \end{array}$	¹D 50 , ³P 21 , ³F 21
	207 065	207 046	−19	$\begin{array}{l} \frac{7}{2} [\frac{3}{2}] 84, & * \frac{7}{2} [\frac{5}{2}] 12 \end{array}$	³P 72 , ¹D 25
3	199 193	199 191	−2	$\begin{array}{l} \frac{5}{2} [\frac{7}{2}] 86, & \frac{5}{2} [\frac{5}{2}] 14 \end{array}$	³G 70 , ¹F 27 , *³D 3
	200 411	200 417	6	$\begin{array}{l} \frac{5}{2} [\frac{5}{2}] 73, & * \frac{7}{2} [\frac{7}{2}] 13, & * \frac{5}{2} [\frac{7}{2}] 11 \end{array}$	³D 36 , ¹F 30 , ³G 21
	202 614	202 615	1	$\begin{array}{l} \frac{7}{2} [\frac{5}{2}] 67, & * \frac{7}{2} [\frac{7}{2}] 33 \end{array}$	³D 54 , ¹F 40
	204 539	204 557	18	$\begin{array}{l} \frac{7}{2} [\frac{7}{2}] 54, & \frac{7}{2} [\frac{5}{2}] 30, & \frac{5}{2} [\frac{5}{2}] 13 \end{array}$	³F 86 , ³D 8
4	200 208	200 203	−5	$\begin{array}{l} \frac{5}{2} [\frac{7}{2}] 69, & * \frac{5}{2} [\frac{9}{2}] 15, & \frac{7}{2} [\frac{9}{2}] 13 \end{array}$	³G 87 , *³H 5
	202 023	201 985	−38	$\begin{array}{l} \frac{5}{2} [\frac{9}{2}] 85, & \frac{5}{2} [\frac{7}{2}] 13 \end{array}$	³H 82 , ¹G 15
	204 557	204 542	−15	$\begin{array}{l} * \frac{7}{2} [\frac{9}{2}] 55, & * \frac{7}{2} [\frac{7}{2}] 27, & \frac{5}{2} [\frac{7}{2}] 18 \end{array}$	³P 43 , ¹G 35 , ³G 12
	205 703	205 748	45	$\begin{array}{l} \frac{7}{2} [\frac{7}{2}] 69, & * \frac{7}{2} [\frac{9}{2}] 30 \end{array}$	³F 50 , ¹G 47
5	199 588	199 596	8	$\begin{array}{l} \frac{5}{2} [\frac{11}{2}] 68, & \frac{5}{2} [\frac{9}{2}] 30 \end{array}$	³I 57 , ¹H 36
	200 229	200 235	6	$\begin{array}{l} \frac{5}{2} [\frac{9}{2}] 57, & * \frac{5}{2} [\frac{11}{2}] 31, & * \frac{7}{2} [\frac{11}{2}] 10 \end{array}$	³I 39 , ¹H30 , ³G 17
	202 322	202 328	6	$\begin{array}{l} \frac{7}{2} [\frac{9}{2}] 84, & * \frac{7}{2} [\frac{11}{2}] 16 \end{array}$	³G 73 , 1H 25
	204 053	204 032	−21	$\begin{array}{l} \frac{7}{2} [\frac{11}{2}] 72, & \frac{7}{2} [\frac{9}{2}] 14, & \frac{5}{2} [\frac{9}{2}] 13 \end{array}$	³H 84 ,*¹H 9
6	200 897	200 894	−3	$\begin{array}{l} \frac{5}{2} [\frac{11}{2}] 79, & * \frac{7}{2} [\frac{13}{2}] 20 \end{array}$	³I 90
	204 815	204 816	1	$\begin{array}{l} \frac{7}{2} [\frac{11}{2}] 84, & * \frac{7}{2} [\frac{13}{2}] 10 \end{array}$	³H 90
	206 325	206 299	−26	$\begin{array}{l} \frac{7}{2} [\frac{13}{2}] 70, & \frac{7}{2} [\frac{11}{2}] 16, & \frac{5}{2} [\frac{11}{2}] 14 \end{array}$	¹I 88 , ³H 7
7	202 959	202 949	−10	$\frac{7}{2} [\frac{13}{2}] 100$	³I 100

Parameter	Value (cm⁻¹)
A	196 267± 37
F²	4490±380
F⁴	3132 (fixed)
G¹	2148±130
G³	3900 (fixed)
G⁵	2186 (fixed)
ζ(4f)	874± 20
ζ(6d)	209± 32
rms error of calculated levels=99 cm⁻¹

J	Levels calculated (cm⁻¹)	Levels observed (cm⁻¹)	Obs. minus calc.	Composition in jj coupling
0	195 221			$(\frac{5}{2}, \frac{5}{2}) 100 %$
1	194 896			$\begin{array}{l} (\frac{5}{2}, \frac{3}{2}) 55, & (\frac{5}{2}, \frac{5}{2}) 44 % \end{array}$
	195 365			$* \begin{array}{l} (\frac{5}{2}, \frac{5}{2}) 56, & (\frac{5}{2}, \frac{3}{2}) 41 \end{array}$
	199 385			$(\frac{7}{2}, \frac{5}{2}) 96$
2	193 457	193 330	−127	$(\frac{5}{2}, \frac{3}{2}) 93$
	194 605			$(\frac{5}{2}, \frac{5}{2}) 90$
	197 284			$\begin{array}{l} (\frac{7}{2}, \frac{3}{2}) 54, & * (\frac{7}{2}, \frac{5}{2}) 44 \end{array}$
	197 895			$\begin{array}{l} (\frac{7}{2}, \frac{5}{2}) 54, & (\frac{7}{2}, \frac{3}{2}) 45 \end{array}$
3	193 792	193 805	13	$\begin{array}{l} (\frac{5}{2}, \frac{3}{2}) 83, & * (\frac{5}{2}, \frac{5}{2}) 17 \end{array}$
	194 283			$\begin{array}{l} (\frac{5}{2}, \frac{5}{2}) 80, & (\frac{5}{2}, \frac{3}{2}) 16 \end{array}$
	197 152			$* (\frac{7}{2}, \frac{3}{2}) 95$
	198 114	198 155	41	$(\frac{7}{2}, \frac{5}{2}) 99$
4	193 542	193 602	60	$(\frac{5}{2}, \frac{3}{2}) 98$
	194 032	194 022	−10	$(\frac{5}{2}, \frac{5}{2}) 98$
	196 544	196 585	41	$(\frac{7}{2}, \frac{3}{2}) 99$
	196 926	196 800	−126	$(\frac{7}{2}, \frac{5}{2}) 100$
5	194 696	194 777	81	$(\frac{5}{2}, \frac{5}{2}) 91$
	197 013	197 104	91	$\begin{array}{l} (\frac{7}{2}, \frac{5}{2}) 55, & * (\frac{7}{2}, \frac{3}{2}) 45 \end{array}$
	198 376	198 305	−71	$\begin{array}{l} (\frac{7}{2}, \frac{3}{2}) 48, & (\frac{7}{2}, \frac{5}{2}) 44 \end{array}$
6	197 182	197 197	15	$(\frac{7}{2}, \frac{5}{2}) 100$

λvnc (Å)	Intensity	σ (cm⁻¹)	Classification
2046.598	2	48 861.6	144 943₃ –193 805₃°
2036.807	1	49 096.4	144 925₄ –194 022₄°
1986.763	60	50 333.1	142 997₁ –193 330₂°
1978.071	10	50 554.3	145 362₄ –195 917₄°
1974.884	1000	50 635.9	145 281₆ –195 917₄°
1961.098	80	50 991.8	144 925₄ –195 917₄°
1960.826	100	50 998.9	142 331₂ –193 330₂°
1959.410	100	51 035.8	142 565₄ –193 601₄°
1944.117	10	51 437.2	145 362₄ –196 800₄°
1943.401	4	51 456.2	142 565₄ –194 022₄°
1942.748	100	51 473.5	142 331₂ –193 805₃°
1941.039	7	51 518.8	145 281₅ –196 800₄°
1938.801	500	51 578.3	146 577₂ –198 155₃°
1932.704	10	51 741.0	145 362₄ –197 103₅°
1928.386	200	51 856.8	144 943₃ –196 800₄°
1927.723	200	51 874.7	144 925₄ –196 800₄°
1926.195	500	51 915.8	145 281₅°–197196₆
1920.256	2	52 076.4	141 254₃ –193 330₂°
1916.497	800	52 178.5	144 925₄ –197 103₅°
1915.289	400	52 211.4	142 565₄ –194 777₅°
1910.303	400	52 347.7	141 254₃ –193 601₄°
1902.917	10	52 550.9	141 254₃ –193 805₃°
1895.093	300	52 767.9	141 254₃ –194 022₄°
1888.864	3	52 941.9	145 362₄ –198 304₅°
1885.949	5	53 023.7	145 281₅ –198 304₅°
1874.382	200	53 350.9	142 565₄ –195 917₄°
1873.386	2	53 379.3	144 925₄ –198 304₅°
1861.288	5	53 726.3	139 875₃ –193 601₄°
1833.599	200	54 537.6	142 565₄ –197 103₅°
1824.747	2	54 802.1	144 925₄ –199 727₃°
1807.325	5	55 330.4	141 254₃ –196 584₄°
1800.316	9	55 545.8	141 254₃ –196 800₄°
1795.621	300	55 691.0	140 226₄ –195 917₄°
1794.084	2	55 738.8	142 565₄ –198 304₆°
1788.595	60	55 909.8	146 577₂ –202 487₃°
1780.772	3	56 155.4	137 175₂ –193 330₂°
1774.344	50	56 358.8	140 225₄ –196 584₄°
1767.595	30	56 574.0	140 226₄ –196 800₄°
1763.371	100	56 709.6	139 875₃ –196 584₄°
1762.077	100	56 751.2	136 851₃ –193 601₄°
1758.147	200	56 878.1	140 226₄ –197 103₅°
1755.791	3	56 954.4	136 851₃ –193 805₃°
1749.421	300	57 161.8	142 565₄ –199 727₃°
1742.277	30	57 396.2	142 331₂ –199 727₃°
1737.811	60	57 543.6	144 943₃ –202 487₃°
1737.260	100	57 561.9	144 925₄ –202 487₃°
1721.797	200	58 078.8	140 226₄ –198 304₅°
1710.173	200	58 473.6	141 254₃ –199 727₃°
1639.873	2	60 980.3	137 175₂ –198 155₃°
1606.139	30	62 261.1	140 226₄ –202 487₃°
1598.650	60	62 552.8	137 175₂ –199 727₃°
1597.144	3	62 611.8	139 875₃ –202 487₃°
1590.406	60	62 877.0	136 851₃ –199 727₃°
1006.612	20	99 343.1	103 271₄° –202 614₃
998.478	10	100 152.4	100 543₃° –200 697₂
989.320	10	101 079.5	100 285₂° –201 365₁
985.789	4	101 441.6	100 S43₃° –201 985₄
826.179	6	121 039.1	78 776₁° –199 815₁
815.735	10	122 588.8	78 776₁° –201 365₁
804.312	40	124 329.9	75 265₅° –199 595₅
803.284	100	124 489.0	78 776₁° –203 265₁
800.196	20	124 969.4	75 265₅° –200 235₅
796.002	20	125 627.8	75 265₅°–200 893₆
788.862	10	126 764.9	78 776₁° –205 541₂
787.367	2	127 005.6	72 185₂° –199 191₃
787.017	40	127 062.1	75 265₅° –202 327₅
779.838	3	128 231.8	72 185₂° –200 417₃
779.609	10	128 269.4	78 776₁°–207 046₂
778.135	2	128 512.4	72 185₂° –200 697₂
777.048	1	128 692.2	71 724₃° –200 417₃
776.601	1	128 766.2	75 265₅° –204 032₅
775.361	7	128 972.2	70 842₀° –199 815₁
*775.361	7	128 972.2	71724₃° –200 697₂
774.832	10	129 060.2	70 755₁° –199 815₁
774.113	10	129 180.1	72 185₂° –201 365₁
771.905	4	129 549.6	75 650₅° –204 815₆
769.574	60	129 942.0	70 755₁° –200 697₂
766.697	80	130 429.6	72 185₂°−202 614₃
766.386	1	130 482.6	75 265₅° –205 748₄
766.153	40	130 522.2	70 842₀° –201 365₁
765.638	40	130 610.0	70 755₁° –201 365₁
763.997	200	130 890.6	71 724₃° –202 614₃
763.160	400	131 034.1	75 265₅° –206 299₆
762.892	20	131 080.2	72 185₂° –203 265₁
761.013	2	131 403.8	68 411₂° –199 815₁
759.323	7	131 696.3	67 899₅° –199 595₅
759.262	20	131 706.8	68 495₃° –200 202₄
758.025	100	131 921.8	68 495₃° –200 417₃
757.544	10	132 005.5	68 411₂° –200 417₃
755.941	60	132 285.4	68 411₂° –200 697₂
755.653	20	132 335.9	67 899₅° –200 235₅
754.661	10	132 509.8	70 755₁° –203 265₁
752.920	10	132 816.2	68 077₆°–200 893₆
*752.920	10	132 816.2	71 724₃° –204 541₄
752.740	60	132 848.0	66 967₁⁰ –199 815₁
751.914	20	132 993.9	67 899₅° –200 893₆
751.441	1	133 077.6	66 518₄°–199 595₅
749.872	6	133 356.1	72 185₂° –205 541₂
749.123	1	133 489.4	68 495₃° –201 985₄
748.033	1	133 683.9	66 518₄° –200 202₄
747.849	10	133 716.8	66 518₄° –200 235₅
747.781	20	133 729.0	66 967₁° –200 697₂
746.136	200	134 023.8	71 724₃° –205 748₄
745.607	3	134 118.9	68 495₃° –202 614₃
745.243	30	134 184.4	72 185₂° –206 369₁
745.139	10	134 203.1	68 411₂° –202 614₃
744.878	3	134 250.2	68 077₆° –202 327₅
744.290	10	134 356.2	65 239₅° –199 595₅
744.064	4	134 397.0	66 967₁° –201 365₁
743.888	200	134428.8	67 899₅° –202 327₅
743.531	1	134 493.4	65 321₂° –199 815₁
743.147	200	134 562.9	65 640₄° –200 202₄
742.966	80	134 595.7	65 640₄° –200 235₅
741.915	3	134 786.3	70 755₁° –205 541₂
741.498	100	134.862.1	72 185₂° –207 046₂
741.449	1000	134 871.0	68 077₆° –202 948₇
740.945	2	134 962.8	65 239₅° –200 202₄
740.766	3	134 995.4	65 239₅° –200 235₅
738.981	20	135 321.5	71 724₃° –207 046₂
738.687	10	135 375.3	65 321₂° –200 697₂
738.187	2	135 467.0	66 518₄° –201 985₄
737.864	5	135 526.3	70 842₀° –206 369₁
737.166	1000	135 654.7	65 239₅° –200 893₆
736.321	500	135 810.3	66 518₄° –202 327₅
736.188	200	135 834.9	63 356₃° –199 191₃
736.099	50	135 851.3	66 967₁° –202 819₂
735.544	1	135 953.8	68 077₆° –204 032₅
735.211	40	136 015.4	63 580₄° –199 595₅
735.044	200	136 046.3	68 495₃° –204 541₄
734.962	60	136 061.5	68 495₃° –204 557₃
734.865	300	136 079.4	64 123₃° –200 202₄
734.772	10	136 096.6	66 518₄°–202 614₃
734.578	40	136 132.6	67 899₅°–204 032₅
734.509	100	136 145.4	68 411₂°–204 557₃
733.712	100	136 293.3	64 123₃°–200 417₃
733.434	10	136 344.9	65 640₄°–201 985₄
732.209	10	136 573.0	64 123₃°–200 697₂
731.948	5	136 621.7	63 580₄°–200 202₄
731.835	30	136 642.8	67 899₅°–204 541₄
731.773	300	136 654.4	63 580₄°–200 235₅
731.596	10	136 687.5	65 640₄°–202 327₅
731.327	100	136 737.7	68 077₆°–204815₆
730.799	4	136 836.5	63 580₄°–200 417₃
730.372	500	136 916.5	67 899₅°–204 815₆
729.682	30	137 046.0	68 495₃°–205 541₂
729.235	15	137 130.0	68 411₂°–205 541₂
728.370	20	137 292.9	65 321₂°–202 614₃
727.199	20	137 513.9	66 518₄°–204 032₅
726.039	200	137 733.6	61 457₂°–199 191₃
725.433	3	137 848.7	67 899₆°–205 748₄
725.365	10	137 861.6	64 123₃°–201 985₄
724.933	5	137 943.8	65 321₂°–203 265₁
724.858	20	137 958.1	68 411₂°–206 369₁
722.762	20	138 358.1	61 457₂°–199 S15₁
722.579	300	138 393.2	65 640₄°–204 032₅
722.522	10	138 404.1	63 580₄°–201 985₄
722.411	600	138 425.4	61 170₄°–199 595₅
721.758	10	138 550.6	68 495₃°–207 046₂
721.636	1	138 574.0	66 967₁°–205 541₂
721.344	300	138 630.1	63 356₃°–201 985₄
720.735	3	138 747.2	63 580₄°–202 327₅
720.498	60	138 792.9	65 239₅°–204 032₅
719.934	30	138 901.6	65 640₄°–204 541₄
719.855	30	138 916.9	65 640₄°–204 557₃
719.093	10	139 064.1	61 170₄°–200 235₅
718.232	200	139 230.8	66 518₄°–205 748₄
717.038	20	139 462.6	63 356₃°–202 819₂
716.456	10	139 575.9	65 239₅°–204 815₆
713.735	2	140 108.0	65 640₄°–205 748₄
713.162	50	140 220.6	65 321₂°–205 541₄
712.080	80	140 433.7	64 123₃°–204 557₃
711.991	20	140 451.2	63 580₄°–204 032₅
710.153	60	140 814.7	61 170₄°–201 985₄
709.415	40	140 961.2	63 580₄°–204 541₄
708.921	10	141 059.4	65 239₅°–206 299₆
708.432	5	141 156.8	61 170₄°–202 327₅
*708.432	5	141 156.8	61 457₂°–202 614₃
708.289	1	141 185.3	63 356₃°–204 541₄
708.211	10	141 200.9	63 356₃°–204 557₃
707.406	80	141 361.5	61 457₂°–202 819₂
707.125	1	141 417.7	64123₃°–205 541₂
705.595	3	141 724.4	65 321₂°–207 046₂
699.978	4	142 861.6	61170₄°–204 032₅
697.491	30	143 371.0	61 170₄°–204 541₄
691.672	3	144 577.2	61170₄°–205 748₄

Abstract

Cited By

Figures (1)

Tables (6)

Equations (67)

Journal of the Optical Society of America