Subconfiguration f<sup>6</sup>(<sup>7</sup>F)sp in Sm I*

G. Racah; U. Ganiel

doi:10.1364/JOSA.56.000893

Journal of the Optical Society of America
Vol. 56,
Issue 7,
pp. 893-895
(1966)
•https://doi.org/10.1364/JOSA.56.000893

Subconfiguration f⁶(⁷F)sp in Sm I

G. Racah and U. Ganiel

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G. Racah and U. Ganiel, "Subconfiguration f⁶(⁷F)sp in Sm I*," J. Opt. Soc. Am. 56, 893-895 (1966)

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Abstract

A theoretical interpretation for all 70 observed energy levels belonging to the subconfiguration 4f⁶(⁷F)4s4p of Sm i is given. Energy matrices of both electrostatic and spin-orbit interactions were included in the calculation. The interaction parameters were adjusted by least squares to give an average agreement within 1% between the predicted and observed levels.

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Equations (9)

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J	Term	Purity	Observed (cm⁻¹)	Calculated (cm⁻¹)	O–C (cm⁻¹)	g_calc.
0	⁹G	92	13796^a	13943	−147	0.000
0	⁵D	73	⋯	15764	⋯	0.000
0	(³P)⁷F	70	⋯	17762	⋯	0.000
0	(¹P)⁷F	98	⋯	24045	⋯	0.000
1	⁹G	93	13999	14104	−105	1.498
1	⁹F	54	14864	14863	1	3.209
1	(³P)⁷G	74	15651	15762	−111	−0.118
1	⁵D	56	16112	16141	−29	1.325
1	(³P)⁷D	49	16691	16768	−77	2.919
1	(3P)⁷F	46	17770	17838	−68	1.235
1	⁵F	65	18475	18664	−189	0.384
1	(¹P)⁷G	70	22914	23181	−267	0.463
1	(¹P)⁷D	70	23244	23253	−9	2.034
1	(¹P)⁷F	94	24054	24279	−225	1.511
2	⁹G	93	14380	14421	−41	1.500
2	⁹D+⁹F	36+27	15040	15019	21	2.261
2	⁹D+⁹F	57+31	15567	15708	−141	2.371
2	(³P)⁷G	76	16116	16108	8	0.983
2	⁵D	42	16682	16680	2	1.660
2	(³P)⁷F	48	17190	17112	78	1.643
2	⁵G	74	17462	17586	−124	0.630
2	(³P)⁷D	14^b	18417	18362	55	1.300
2	⁵F	57	19677	19449	228	1.151
2	¹P)⁷G	86	23381	23452	−71	0.956
2	(¹P)⁷D	83	23547	23705	−158	1.861
2	(¹P)⁷F	88	24467	24730	−263	1.517
3	⁹G	92	14916	14891	25	1.504
3	⁹D	53	15507	15396	111	1.923
3	⁹F	49	16211	16212	−1	1.805
3	(³P)⁷G	73	16748	16662	86	1.285
3	(³P)⁷D	31	17567	17226	341	1.607
3	(³P)⁷F	44	17831	17705	126	1.322
3	⁶G	39	18209	18080	129	1.302
3	⁵D	21	19210	19164	46	1.402
3	³F	50	20413	20399	14	1.350
3	(¹P)⁷G	88	23852	23885	−33	1.213
3	(¹P)⁷D	80	24151	24382	−231	1.680
3	(¹P)⁷F	81	25572	25381	191	1.523
4	⁹G	90	15579	15513	66	1.508
4	⁹D	65	16132	15997	135	1.771
4	⁹F	60	16891	16791	100	1.613
4	(³P)⁷G	69	17504	17398	106	1.400
4	(³P)⁷D	25	17959	17856	103	1.472
4	⁶G	37	18503	18487	16	1.443
4	(³P)⁷F	60	19175	18980	195	1.427
4	⁵F	39	20183	20268	−85	1.431
4	⁵D	54	21309	21499	−190	1.436
4	(¹P)⁷G	89	24634	24489	145	1.322
4	(¹P)⁷D	72	25387	25295	92	1.599
4	(¹P)⁷F	72	26382	26214	168	1.528
5	⁹G	89	16345	16299	45	1.511
5	⁹D	77	16859	16812	47	1.698
5	⁹F	62	17587	17448	139	1.546
5	(³P)⁷G	65	18350	18296	54	1.480
5	⁵G	48	18811	18709	103	2.623
5	(³P)⁷D	65	19265	19529	−264	2.106
5	(³P)⁷F	69	20153	20078	75	1.951
5	⁵D	80	21600	21730	−130	1.603
5	(¹P)⁷G	91	25616	25370	345	1.384
5	(¹P)⁷D	59	26444	26457	320	1.557
5	(¹P)⁷F	58	27256	27205	51	1.541
6	⁹G	91	17194	17259	−65	1.503
6	⁹D	86	17655	17833	−178	1.641
6	⁹F	57	18298	18222	76	1.526
6	(³P)⁷G	59	19254	19338	−84	1.481
6	⁵G	70	19712	19810	−98	1.390
6	(³P)⁷F	65	21056	21238	−182	1.459
6	(¹P)⁷G	94	26471	26234	237	1.409
6	(¹P)⁷F	95	27735	27933	−198	1.496
7	⁹G	96	18119	18384	−265	1.499
7	⁹F	54	19006	19070	−64	1.508
7	(³P)⁷G	55	⋯	20524	⋯	1.492
7	(¹P)⁷G	97	27288	27382	−94	1.429
8	⁹G	100	19753	19649	104	1.500

Parameter	Diag. final	L. S. final
A	22754	22722±48
G_fs	234	241±42
G_ps	3695	3641 ±43
F₂(4f,6p)	41	37± 3
G₂(4f,6p)	1.4	1.1± 1.5
G₄(4f,6p)	1.9	1.8± 2.7
ζ4f	1162	1175± 18
ζ6p	1311	1325±62
	rms error: 156

J	Term	Purity	Observed (cm⁻¹)	Calculated (cm⁻¹)	O–C (cm⁻¹)	g_calc.
0	⁹G	92	13796^a	13943	−147	0.000
0	⁵D	73	⋯	15764	⋯	0.000
0	(³P)⁷F	70	⋯	17762	⋯	0.000
0	(¹P)⁷F	98	⋯	24045	⋯	0.000
1	⁹G	93	13999	14104	−105	1.498
1	⁹F	54	14864	14863	1	3.209
1	(³P)⁷G	74	15651	15762	−111	−0.118
1	⁵D	56	16112	16141	−29	1.325
1	(³P)⁷D	49	16691	16768	−77	2.919
1	(3P)⁷F	46	17770	17838	−68	1.235
1	⁵F	65	18475	18664	−189	0.384
1	(¹P)⁷G	70	22914	23181	−267	0.463
1	(¹P)⁷D	70	23244	23253	−9	2.034
1	(¹P)⁷F	94	24054	24279	−225	1.511
2	⁹G	93	14380	14421	−41	1.500
2	⁹D+⁹F	36+27	15040	15019	21	2.261
2	⁹D+⁹F	57+31	15567	15708	−141	2.371
2	(³P)⁷G	76	16116	16108	8	0.983
2	⁵D	42	16682	16680	2	1.660
2	(³P)⁷F	48	17190	17112	78	1.643
2	⁵G	74	17462	17586	−124	0.630
2	(³P)⁷D	14^b	18417	18362	55	1.300
2	⁵F	57	19677	19449	228	1.151
2	¹P)⁷G	86	23381	23452	−71	0.956
2	(¹P)⁷D	83	23547	23705	−158	1.861
2	(¹P)⁷F	88	24467	24730	−263	1.517
3	⁹G	92	14916	14891	25	1.504
3	⁹D	53	15507	15396	111	1.923
3	⁹F	49	16211	16212	−1	1.805
3	(³P)⁷G	73	16748	16662	86	1.285
3	(³P)⁷D	31	17567	17226	341	1.607
3	(³P)⁷F	44	17831	17705	126	1.322
3	⁶G	39	18209	18080	129	1.302
3	⁵D	21	19210	19164	46	1.402
3	³F	50	20413	20399	14	1.350
3	(¹P)⁷G	88	23852	23885	−33	1.213
3	(¹P)⁷D	80	24151	24382	−231	1.680
3	(¹P)⁷F	81	25572	25381	191	1.523
4	⁹G	90	15579	15513	66	1.508
4	⁹D	65	16132	15997	135	1.771
4	⁹F	60	16891	16791	100	1.613
4	(³P)⁷G	69	17504	17398	106	1.400
4	(³P)⁷D	25	17959	17856	103	1.472
4	⁶G	37	18503	18487	16	1.443
4	(³P)⁷F	60	19175	18980	195	1.427
4	⁵F	39	20183	20268	−85	1.431
4	⁵D	54	21309	21499	−190	1.436
4	(¹P)⁷G	89	24634	24489	145	1.322
4	(¹P)⁷D	72	25387	25295	92	1.599
4	(¹P)⁷F	72	26382	26214	168	1.528
5	⁹G	89	16345	16299	45	1.511
5	⁹D	77	16859	16812	47	1.698
5	⁹F	62	17587	17448	139	1.546
5	(³P)⁷G	65	18350	18296	54	1.480
5	⁵G	48	18811	18709	103	2.623
5	(³P)⁷D	65	19265	19529	−264	2.106
5	(³P)⁷F	69	20153	20078	75	1.951
5	⁵D	80	21600	21730	−130	1.603
5	(¹P)⁷G	91	25616	25370	345	1.384
5	(¹P)⁷D	59	26444	26457	320	1.557
5	(¹P)⁷F	58	27256	27205	51	1.541
6	⁹G	91	17194	17259	−65	1.503
6	⁹D	86	17655	17833	−178	1.641
6	⁹F	57	18298	18222	76	1.526
6	(³P)⁷G	59	19254	19338	−84	1.481
6	⁵G	70	19712	19810	−98	1.390
6	(³P)⁷F	65	21056	21238	−182	1.459
6	(¹P)⁷G	94	26471	26234	237	1.409
6	(¹P)⁷F	95	27735	27933	−198	1.496
7	⁹G	96	18119	18384	−265	1.499
7	⁹F	54	19006	19070	−64	1.508
7	(³P)⁷G	55	⋯	20524	⋯	1.492
7	(¹P)⁷G	97	27288	27382	−94	1.429
8	⁹G	100	19753	19649	104	1.500

Parameter	Diag. final	L. S. final
A	22754	22722±48
G_fs	234	241±42
G_ps	3695	3641 ±43
F₂(4f,6p)	41	37± 3
G₂(4f,6p)	1.4	1.1± 1.5
G₄(4f,6p)	1.9	1.8± 2.7
ζ4f	1162	1175± 18
ζ6p	1311	1325±62
	rms error: 156

Abstract

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Tables (3)

Equations (9)

Journal of the Optical Society of America