Isotope shifts in Sb I

Ł. M. Sobolewski; S. Bouazza; L. Windholz; J. Kwela

doi:10.1364/JOSAB.33.001921

Journal of the Optical Society of America B
Vol. 33,
Issue 9,
pp. 1921-1927
(2016)
•https://doi.org/10.1364/JOSAB.33.001921

Isotope shifts in Sb I

Ł. M. Sobolewski, S. Bouazza, L. Windholz, and J. Kwela

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Ł. M. Sobolewski, S. Bouazza, L. Windholz, and J. Kwela, "Isotope shifts in Sb I," J. Opt. Soc. Am. B 33, 1921-1927 (2016)

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Abstract

The isotope shifts of eight lines of Sb I covering the UV–NIR spectral range have been measured. We used two different experimental techniques: high-resolution emission spectroscopy and optogalvanic absorption spectroscopy with a tunable dye ring laser system. Recurring to pseudo-relativistic Hartee–Fock estimates, the field and specific mass shifts of numerous configurations were evaluated. The comparison between experimental and ab initio line shift values is very satisfactory.

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Line (nm)	Upper Level ( ${cm}^{- 1}$ )	$j$	$A_{121}$ ^a (mK)	$B_{121}$ ^a (mK)	$A_{123}$ ^b (mK)	$B_{123}$ ^b (mK)	Lower Level ( ${cm}^{- 1}$ )	$j$	$A_{121}$ ^a (mK)	$B_{121}$ ^a (mK)	$A_{123}$ ^b (mK)	$B_{123}$ ^b (mK)
363.8	45945.3	3/2	17.3(0.2)	−16.0(0.5)	9.42(0.13)	−18.6(2.4)	18464.2	3/2	22.71(0.04)	14.6(0.1)	11.89(0.13)	14.7(2.8)
372.3	43249.3	1/2	75.8(0.5)		41.42(0.09)		16395.4	1/2	163.7(0.1)		89.16(0.41)
403.4	43249.3	1/2	75.8(0.5)		41.42(0.09)		18464.2	3/2	22.71(0.04)	14.6(0.1)	11.89(0.13)	14.7(2.8)
792.5	55864.8	3/2	9.6(0.1)	8.4(1.1)	5.06(0.14)	13.99(3.1)	43249.3	1/2	75.8(0.5)		41.51(0.09)
841.2	55134.3	3/2	2.2(1.0)	−4.2(1.4)	1.07(0.21)	5.1(9.9)	43249.3	1/2	75.8(0.5)		41.42(0.09)
1067.7	52612.4	3/2	1.5(1.1)	−1.7(2.3)	0.84(0.12)	2.6(5.3)	43249.34	1/2	75.8(0.5)		41.42(0.09)
1074.2	55252.13	5/2	−4.2(0.3)	−13.6(1.3)	−2.12(0.16)	−14.99(5.11)	45945.34	3/2	17.3(0.2)	−16.0(0.5)	9.42(0.13)	−18.6(4.2)
563.2	61000.3	3/2	0.7(1.1)	0.4(1.4)	0.26(0.09)	8.1(14.5)	43249.3	1/2	75.8(0.5)		41.42(0.09)

			$IS ({}^{123}{Sb} - {}^{121}{Sb})$ (mK)
Line (nm)	Upper Level ( ${cm}^{- 1}$ )	Lower Level ( ${cm}^{- 1}$ )	Our Exp.	Others [12]	${}^{121}{Sb} / {}^{123}{Sb}$ (%)
363.8	45945.3 3/2	18464.2 3/2	$8.47 \pm 0.93$	$5.0 \pm 1.0$	61.44/38.56
372.3	43249.3 1/2	16395.4 1/2	$8.51 \pm 0.34$	$7.0 \pm 2.0$	58.19/41.81
403.4	43249.3 1/2	18464.2 3/2	$8.28 \pm 0.63$	$6.0 \pm 1.5$	55.11/44.89
792.5	55864.8 3/2	43249.3 1/2	$- 3.74 \pm 0.58$		58.40/41.60
841.2	55134.3 3/2	43249.3 1/2	$- 3.67 \pm 0.63$		57.91/42.10
1067.7	52612.4 3/2	43249.34 1/2	$- 3.85 \pm 0.46$		58.34/41.66
1074.2	55252.13 5/2	45945.34 3/2	$- 2.15 \pm 0.72$		55.78/41.22
563.2	61000.3 3/2	43249.3 1/2	$- 2.68 \pm 0.55$		54.95/45.05

Line (nm)	NMS (mK)
363.8	2.014
372.3	1.967
403.4	1.816
563.2	1.301
792.5	0.924
841.2	0.871
1067.7	0.686
1074.2	0.682

Config.	$V^{2}$ (a.u.)	SMS (mK)
$5 p^{3}$	2049.147121	4.00
$5 p^{2} 6 p$	2048.885507	−0.20
$5 p^{2} 7 p$	2048.873527	−0.40
$5 p^{2} 8 p$	2048.870506	−0.43
$5 p^{2} 9 p$	2048.869328	−0.47
$5 p^{2} 4 f$	2048.867621	−0.50
$5 p^{2} 6 s$ ^a	2048.897949	0
$5 p^{2} 7 s$	2048.875230	−0.37
$5 p^{2} 8 s$	2048.870936	−0.43
$5 p^{2} 5 d$	2048.885649	−0.20
$5 p^{2} 6 d$	2048.873365	−0.40
$5 p^{2} 7 d$	2048.870471	−0.43
$5 p^{2} 8 d$	2048.869332	−0.47
$5 s 5 p^{4}$	2049.109493	3.40

Configuration	${5 s 5 p}^{4}$	${5 p}^{2} 6 s$	${5 p}^{2} 7 s$	${5 p}^{2} 8 s$	${5 p}^{2} 4 f$	${5 p}^{2} 6 p$	${5 p}^{2} 7 p$	${5 p}^{2} 8 p$	${5 p}^{2} 5 f$	${5 p}^{2} 5 d$	${5 p}^{2} 6 d$	${5 p}^{2} 7 d$	${5 p}^{2} 8 d$	${5 p}^{3}$
1s	944880	944886	944883	944880	944885.4	944879.4	944882.8	944883.1	944883.4	944882.2	944881	944883.8	944886.1	944885.6
2s	104264	104267	104268	104268	104267.3	104266.9	104267	104267.6	104266.9	104267.6	104266	104267	104266.9	104266.6
3s	20225	20230	20229	20229	20229.4	20229.3	20229.3	20229.3	20229.3	20229.2	20229	20229.4	20229.3	20228.5
4s	3906	3917	3917	3917	3916.4	3916.3	3916.3	3916.4	3916.4	3916.2	3916	3916.3	3916.4	3915.4
5s	414.38	429	429	429	429.3	428.3	428.9	429.1	429.3	428.2	429	429	429.1	395.9
6s		27.14
7s			8.05
8s				3.52
Total s-electron density ^a	2146963	2147485	2147462	2147449	2147456	2147441	2147449	2147451	2147451	2147447	2147445	2147451	2147456	2147384

$5 p^{3}$	−10.54
$5 p^{2} 6 p$	−4.60
$5 p^{2} 7 p$	−3.76
$5 p^{2} 8 p$	−3.55
$5 p^{2} 6 s$ ^a	0
$5 p^{2} 4 f$	−3.03
$5 p^{2} 5 f$	−3.55
$5 p^{2} 7 s$	−2.40
$5 p^{2} 8 s$	−3.76
$5 p^{2} 5 d$	−3.97
$5 p^{2} 6 d$	−4.18
$5 p^{2} 7 d$	−3.55
$5 p^{2} 8 d$	−3.03
$5 s 5 p^{4}$	−54.58

	${5 p}^{3}$ (%)	${5 p}^{2} 6 p$ (%)	${5 p}^{2} 7 p$ (%)	${5 p}^{2} 8 p$ (%)	FS (mK)	SMS (mK)	FS + SMS (mK)
$J = 1 / 2$
16395.4	99.69	0.23			−10.52	3.98	−6.54
55993.9		99.62	0.25		−4.66	−0.2	−4.86
58653.0		92.5	6.68	0.53	−4.57	−0.21	−4.78
18464.2	99.73	0.2			−10.52	3.99	−6.53
$J = 3 / 2$
52612.5		99.59	0.25		−4.66	−0.2	−4.86
55134.3		99.27	0.5		−4.66	−0.2	−4.86
55864.8		99.68	0.17		−4.66	−0.2	−4.86
61000.3		2.58	97.28		−3.86	−0.39	−4.25
$J = 5 / 2$
55252.1		99.39	0.39		−4.66	−0.2	−4.86
58835.4		99.53			−4.67	−0.2	−4.87
63790.9		15.35	83.68		−3.95	−0.37	−4.32
66837.6		1.8	88.3	7.3	−3.78	−0.39	−4.17

	${5 p}^{2} {5 s}^{2} 6 s$ (%)	${5 p}^{2} {5 s}^{2} 5 d$ (%)	${5 p}^{2} {5 s}^{2} 6 d$ (%)	${5 p}^{4} 5 s$ (%)	FS (mK)	SMS (mK)	FS + SMS (mK)
$J = 1 / 2$
43249.336	99.35	0.44			−0.02	0	−0.02
46991.059	95.46	4.04	0.28		−0.16	0	−0.16
$J = 3 / 2$
45945.34	99.46	0.3		0.14	−0.01	0	−0.01
49391.13	88.99	10.03	0.55		−0.4	−0.02	−0.42
$J = 5 / 2$
48332.426	99.34	0.22		0.29	−0.01	0	−0.01

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Equations (5)

Journal of the Optical Society of America B