Configurations 4f<sup>2</sup>6s and 4f<sup>2</sup>6p in Doubly Ionized Pr

Nissan Spector

doi:10.1364/JOSA.54.001359

Journal of the Optical Society of America
Vol. 54,
Issue 11,
pp. 1359-1362
(1964)
•https://doi.org/10.1364/JOSA.54.001359

Configurations 4f²6s and 4f²6p in Doubly Ionized Pr

Nissan Spector

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Nissan Spector, "Configurations 4f²6s and 4f²6p in Doubly Ionized Pr," J. Opt. Soc. Am. 54, 1359-1362 (1964)

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Abstract

Energy parameters are given for the 4f²6s and 4f²6p configurations of Pr²⁺. An average agreement of better than 0.5% of the total configuration spread is obtained between the predicted and observed energy levels, in both cases. Designations in (LS)J – j coupling are given.

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Equations (195)

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	Diag. (cm⁻¹)	L.S. 1. (cm⁻¹)	L.S. 2. (cm⁻¹)
E₀	35 534	35 328 ±63	35 645 ±98
E₁	4917	4918 ±40	4985 ±85
E₂	23	22.2± 0.3	21.7± 0.6
E₃	478	478 ± 2	470 ± 4
G₃	311	306 ±31	305 ±67
α	18	18 ± 2	not included in diag.
ζ	733	732 ±17	727 ±36
rms error		±119	±253

J	Exp. name	Percentage composition	Observed (cm⁻¹)	Calculated (cm⁻¹)	O – C (cm⁻¹)
$3 \frac{1}{2}$	³H₄	98% ³H₄	28 399	28 562	−163
$4 \frac{1}{2}$		92% ³H₄	28 885	28 998	−113
$5 \frac{1}{2}$	³H₅	98% ³H₅	30 734	30 786	−52
$4 \frac{1}{2}$		94% ³H₅	30 995	31 061	−66
$6 \frac{1}{2}$	³H₆	100% ³H₆	32 760	32 745	15
$5 \frac{1}{2}$		98% ³H₆	33 466	33 470	−4
$1 \frac{1}{2}$	³F₂	98% ³F₂	33 338	33 220	118
$2 \frac{1}{2}$		88% ³F₂	33 660	33 574	86
$3 \frac{1}{2}$	³F₃	90% ³F₃	34 825	34 688	137
$2 \frac{1}{2}$		90% ³F₃	35 384	35 122	262
$4 \frac{1}{2}$	³F₄	72% ³F₄ + 27% ¹G₄	35 291	35 272	19
$3 \frac{1}{2}$		53% ³F₄ + 36% ¹G₄	35 801	35 859	−58
$4 \frac{1}{2}$	¹G₄	71% ¹G₄ + 28% ³F₄	38 448	38 520	−72
$3 \frac{1}{2}$		59% ¹G₄ + 40% ³F₄	38 727	38 716	11
$2 \frac{1}{2}$	¹D₂	88% ¹D₂	45 807	45 855	−48
$1 \frac{1}{2}$		90% ¹D₂	45 845	45 900	−55
$0 \frac{1}{2}$	³P₀	85% ³F₀		49 709
$1 \frac{1}{2}$	³P₁	96% ³P₁	50 228	50 257	−29
$5 \frac{1}{2}$	¹I₆	100% ¹I₆	50 647	50 572	75
$6 \frac{1}{2}$		100% ¹I₆	50 659	50 570	89
$0 \frac{1}{2}$	³P₁	85% ³P₁	(50 869)	50 947	(−78)
$2 \frac{1}{2}$	³P₂	90% ³P₂	51 313	51 364	−51
$1 \frac{1}{2}$		90% ³P₂	52 027	52 130	−103
$0 \frac{1}{2}$	¹S₀	100% ¹S₀		79 507

	Diag. (cm⁻¹)	L.S. 1. (cm⁻¹)	L.S. 2. (cm⁻¹)
E₀	67 900	67 984 ±155	67 247 ±97
E₁	5038	5033 ± 46	4969 ±54
E₂	23	23.6± 0.4	22.5± 0.4
E₃	492	492 ± 3	488 ± 3
F₂	54	52 ± 5	58 ± 7
G₂	5	4.8± 1.6	6 ± 2
G₄	16	16 ± 3	16 ± 4
α	31	32 ± 3	23 ± 3
ζ_f	749	748 ± 20	709 ±24
ζ_p	2417	2411 ± 44	2424 ±55
γ	−87	−90 ± 16	not included in diag.
rms error		±198	±252

J	Exp. name	Percentage composition	Observed (cm⁻¹)	Calculated (cm⁻¹)	O – C (cm⁻¹)
$3 \frac{1}{2}$	$(³ H_{4}) p_{0 \frac{1}{2}}$	$94 % (³ H_{4}) p_{0 \frac{1}{2}}$	58 158	58 291	−133
$4 \frac{1}{2}$		$96 % (³ H_{4}) p_{0 \frac{1}{2}}$	58 174	58 230	−56
$4 \frac{1}{2}$	$(³ H_{5}) p_{0 \frac{1}{2}}$	$94 % (³ H_{5}) p_{0 \frac{1}{2}}$	60 166	60 182	−16
$5 \frac{1}{2}$		$98 % (³ H_{5}) p_{0 \frac{1}{2}}$	60 420	60 375	45
$4 \frac{1}{2}$	$(³ H_{4}) p_{1 \frac{1}{2}}$	$92 % (³ H_{4}) p_{1 \frac{1}{2}}$	61 357	61 609	−252
$3 \frac{1}{2}$		$92 % (³ H_{4}) p_{1 \frac{1}{2}}$	61 606	61 590	16
$2 \frac{1}{2}$		$88 % (³ H_{4}) p_{1 \frac{1}{2}}$	61 718	61 596	122
$5 \frac{1}{2}$		$61 % (³ H_{6}) p_{0 \frac{1}{2}} + 31 % (³ H_{4}) p_{1 \frac{1}{2}}$	62 241	62 193	48
$5 \frac{1}{2}$	$(³ H_{6}) p_{0 \frac{1}{2}}$	$61 % (³ H_{4}) p_{1 \frac{1}{2}} + 36 % (³ H_{6}) p_{0 \frac{1}{2}}$	62 559	62 315	244
$6 \frac{1}{2}$		$96 % (³ H_{6}) p_{0 \frac{1}{2}}$	62 679	62 590	89
$1 \frac{1}{2}$	$(³ F_{2}) p_{0 \frac{1}{2}}$	$98 % (³ F_{2}) p_{0 \frac{1}{2}}$	63 221	63 407	−186
$2 \frac{1}{2}$		$88 % (³ F_{2}) p_{0 \frac{1}{2}}$	63 576	63 501	75
$4 \frac{1}{2}$	$(³ H_{5}) p_{1 \frac{1}{2}}$	$90 % (³ H_{5}) p_{1 \frac{1}{2}}$	63 593	63 701	−108
$3 \frac{1}{2}$		$64 % (³ H_{5}) p_{1 \frac{1}{2}} + 30 % (³ F_{3}) p_{0 \frac{1}{2}}$	63 769	64 024	−255
$5 \frac{1}{2}$		$90 % (³ H_{5}) p_{1 \frac{1}{2}}$	63 817	63 827	−10
$6 \frac{1}{2}$		$100 % (³ H_{5}) p_{1 \frac{1}{2}}$	64 215	64 188	27
$2 \frac{1}{2}$	$(³ F_{3}) p_{0 \frac{1}{2}}$	$98 % (³ F_{5}) p_{0 \frac{1}{2}}$	64 401	64 642	−241
$4 \frac{1}{2}$	$(³ F_{4}) p_{0 \frac{1}{2}}$	$59 % (³ F_{4}) p_{0 \frac{1}{2}} + 30 % (¹ G_{3}) p_{0 \frac{1}{2}}$	64 857	65 008	−151
$3 \frac{1}{2}$		$42 % (³ F_{4}) p_{0 \frac{1}{2}}$	64 979	64 991	−12
$3 \frac{1}{2}$	$(³ F_{3}) p_{0 \frac{1}{2}}$	$50 % (³ F_{3}) p_{0 \frac{1}{2}}$	65 296	65 159	137
$5 \frac{1}{2}$	$(³ H_{6}) p_{1 \frac{1}{2}}$	$96 % (³ H_{6}) p_{1 \frac{1}{2}}$	65 922	65 907	15
$6 \frac{1}{2}$		$96 % (³ H_{6}) p_{1 \frac{1}{2}}$	66 148	66 033	115
$7 \frac{1}{2}$		$100 % (³ H_{6}) p_{1 \frac{1}{2}}$	66 301	66 287	14
$0 \frac{1}{2}$	$(³ F_{2}) p_{1 \frac{1}{2}}$	$98 % (³ F_{2}) p_{1 \frac{1}{2}}$	66 325	66 394	−69
$1 \frac{1}{2}$		$94 % (³ F_{2}) p_{1 \frac{1}{2}}$	66 867	66 647	220
$4 \frac{1}{2}$	$(³ H_{6}) p_{1 \frac{1}{2}}$	$79 % (³ H_{6}) p_{1 \frac{1}{2}}$	67 049	67 042	7
$3 \frac{1}{2}$	$(² F_{2}) p_{1 \frac{1}{2}}$	$90 % (³ F_{2}) p_{1 \frac{1}{2}}$	67 240	67 184	56
$2 \frac{1}{2}$		$86 % (³ F_{2}) p_{1 \frac{1}{2}}$	67 395	67 003	392
$3 \frac{1}{2}$	$(¹ G_{4}) p_{0 \frac{1}{2}}$	$64 % (¹ G_{4}) p_{0 \frac{1}{2}} + 32 % (³ F_{4}) p_{0 \frac{1}{2}}$	67 679	67 730	−51
$4 \frac{1}{2}$	$(³ F_{3}) p_{1 \frac{1}{2}}$	$46 % (¹ G_{4}) p_{0 \frac{1}{2}} + 26 % (¹ G_{4}) p_{1 \frac{1}{2}}$	67 871	68 053	−182
$1 \frac{1}{2}$		$96 % (³ F_{3}) p_{1 \frac{1}{2}}$	67 965	68 275	−310
$3 \frac{1}{2}$		$74 % (³ F_{3}) p_{1 \frac{1}{2}}$	68 332	68 382	−50
$4 \frac{1}{2}$	$(¹ G_{4}) p_{0 \frac{1}{2}}$	$62 % (³ F_{3}) p_{1 \frac{1}{2}}$	68 375	68 403	−28
$5 \frac{1}{2}$	$(³ F_{4}) p_{1 \frac{1}{2}}$	$66 % (³ F_{4}) p_{1 \frac{1}{2}} + 30 % (¹ G_{4}) p_{1 \frac{1}{2}}$	68 526	68 700	−174
$2 \frac{1}{2}$	$(³ F_{3}) p_{1 \frac{1}{2}}$	$45 % (³ F_{4}) p_{1 \frac{1}{2}} + 31 % (³ F_{3}) p_{1 \frac{1}{2}}$	68 677	68 283	394
$3 \frac{1}{2}$	$(³ F_{4}) p_{1 \frac{1}{2}}$	$38 % (³ F_{4}) p_{1 \frac{1}{2}} + 36 % (¹ G_{4}) p_{1 \frac{1}{2}}$	68 802	68 852	−50
$2 \frac{1}{2}$		$55 % (³ F_{3}) p_{1 \frac{1}{2}}$	68 979	69 121	−142
$4 \frac{1}{2}$		$48 % (³ F_{4}) p_{1 \frac{1}{2}} + 36 % (¹ G_{4}) p_{1 \frac{1}{2}}$	69 138	68 821	317
$2 \frac{1}{2}$	$(¹ G_{4}) p_{1 \frac{1}{2}}$	$59 % (¹ G_{4}) p_{1 \frac{1}{2}} + 34 % (³ F_{4}) p_{1 \frac{1}{2}}$	71 536	71 537	−1
$4 \frac{1}{2}$		$58 % (¹ G_{4}) p_{1 \frac{1}{2}} + 40 % (³ F_{4}) p_{1 \frac{1}{2}}$	71 592	71 637	−45
$5 \frac{1}{2}$		$66 % (¹ G_{4}) p_{1 \frac{1}{2}} + 32 % (³ F_{4}) p_{1 \frac{1}{2}}$	71 736	71 616	120
$3 \frac{1}{2}$		$53 % (¹ G_{4}) p_{1 \frac{1}{2}} + 44 % (³ F_{4}) p_{1 \frac{1}{2}}$	71 979	71 900	79
$1 \frac{1}{2}$	$(¹ D_{2}) p_{0 \frac{1}{2}}$	$88 % (¹ D_{2}) p_{0 \frac{1}{2}}$	75 410	75 336	74
$2 \frac{1}{2}$		$86 % (¹ D_{2}) p_{0 \frac{1}{2}}$	75 561	75 597	−37
$0 \frac{1}{2}$	$(¹ D_{2}) p_{1 \frac{1}{2}}$	$83 % (¹ D_{2}) p_{1 \frac{1}{2}}$	78 313	78 491	−178
$1 \frac{1}{2}$		$86 % (¹ D_{2}) p_{1 \frac{1}{2}}$	78 889	79 101	−212
$2 \frac{1}{2}$		$86 % (¹ D_{2}) p_{1 \frac{1}{2}}$	79 378	79 420	−42
$3 \frac{1}{2}$		$88 % (¹ D_{2}) p_{1 \frac{1}{2}}$	79 396	79 033	362
$0 \frac{1}{2}$	$(³ P_{1}) p_{0 \frac{1}{2}}$	$72 % (³ P_{0}) p_{0 \frac{1}{2}}$	79 742	79 580	162
$0 \frac{1}{2}$		$72 % (³ P_{0}) p_{0 \frac{1}{2}} + 25 % (³ P_{0}) p_{0 \frac{1}{2}}$		79 873
$1 \frac{1}{2}$	$(³ P_{1}) p_{0 \frac{1}{2}}$	$94 % (³ P_{1}) p_{0 \frac{1}{2}}$	80 164	80 198	−34
$5 \frac{1}{2}$	$(¹ I_{6}) p_{0 \frac{1}{2}}$	$96 % (¹ I_{6}) p_{0 \frac{1}{2}}$	80 361	80 308	53
$1 \frac{1}{2}$	$(³ P_{1}) p_{0 \frac{1}{2}}$	$83 % (³ P_{2}) p_{0 \frac{1}{2}}$	80 898	80 918	−20
$6 \frac{1}{2}$	$(¹ I_{6}) p_{0 \frac{1}{2}}$	$94 % (¹ I_{6}) p_{0 \frac{1}{2}}$	80 989	80 483	506
$2 \frac{1}{2}$	$(³ P_{2}) p_{0 \frac{1}{2}}$	$90 % (³ P_{2}) p_{0 \frac{1}{2}}$	81 405	81 423	−18
$1 \frac{1}{2}$	$(³ P_{2}) p_{1 \frac{1}{2}}$	$76 % (³ P_{0}) p_{1 \frac{1}{2}}$	83 026	83 075	−49
$5 \frac{1}{2}$	$(¹ I_{6}) p_{1 \frac{1}{2}}$	$94 % (¹ I_{6}) p_{1 \frac{1}{2}}$	83 607	83 973	−366
$6 \frac{1}{2}$		$94 % (¹ I_{6}) p_{1 \frac{1}{2}}$	83 703	83 744	−41
$2 \frac{1}{2}$		$98 % (³ P_{1}) p_{1 \frac{1}{2}}$		83 757
$1 \frac{1}{2}$		$79 % (³ P_{1}) p_{1 \frac{1}{2}}$		83 834
$0 \frac{1}{2}$		$88 % (³ P_{1}) p_{1 \frac{1}{2}}$		83 875
$4 \frac{1}{2}$	$(¹ I_{6}) p_{1 \frac{1}{2}}$	$100 % (¹ I_{6}) p_{1 \frac{1}{2}}$	84 411	84 800	−389
$3 \frac{1}{2}$		$92 % (³ P_{2}) p_{1 \frac{1}{2}}$		84 683
$7 \frac{1}{2}$	$(¹ I_{6}) p_{1 \frac{1}{2}}$	$100 % (¹ I_{6}) p_{1 \frac{1}{2}}$	84 992	84 756	235
$2 \frac{1}{2}$	$(³ P_{2}) p_{1 \frac{1}{2}}$	$92 % (³ P_{2}) p_{1 \frac{1}{2}}$	85 306	85 323	−17
$0 \frac{1}{2}$		$88 % (³ P_{2}) p_{1 \frac{1}{2}}$		85 318
$1 \frac{1}{2}$		$86 % (³ P_{2}) p_{1 \frac{1}{2}}$		85 762
$0 \frac{1}{2}$		$100 % (¹ S_{0}) p_{1 \frac{1}{2}}$		110 850
$1 \frac{1}{2}$		$100 % (¹ S_{0}) p_{1 \frac{1}{2}}$		114 484

	Diag. (cm⁻¹)	L.S. 1. (cm⁻¹)	L.S. 2. (cm⁻¹)
E₀	35 534	35 328 ±63	35 645 ±98
E₁	4917	4918 ±40	4985 ±85
E₂	23	22.2± 0.3	21.7± 0.6
E₃	478	478 ± 2	470 ± 4
G₃	311	306 ±31	305 ±67
α	18	18 ± 2	not included in diag.
ζ	733	732 ±17	727 ±36
rms error		±119	±253

Abstract

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Tables (4)

Equations (195)

Journal of the Optical Society of America