Oscillator strengths for some D -F transitions in the Mg sequence

Charlotte Froese Fischer

doi:10.1364/JOSA.69.000118

Journal of the Optical Society of America
Vol. 69,
Issue 1,
pp. 118-125
(1979)
•https://doi.org/10.1364/JOSA.69.000118

Oscillator strengths for some D -F transitions in the Mg sequence

Charlotte Froese Fischer

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Charlotte Froese Fischer, "Oscillator strengths for some D -F transitions in the Mg sequence," J. Opt. Soc. Am. 69, 118-125 (1979)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

Multi-configuration Hartree-Fock wave functions have been obtained for many atoms of the Mg sequence for 3p ^{2 1}D, 3s 3d ^1,3D, 3p 3d ^1,3F, and 3s 4f ^1,3F states. Theoretical ionization energies are reported. Oscillator strengths for allowed D -F transitions are presented and compared with experiment, when available. Agreement is better for the 3s 3d ³D -3p 3d ³F sequence than for 3s 3d ³D -3s 4f ³F. Smoother trends are observed when f values for the ¹D _lowest-¹F _lowest transition, for example, are plotted than for the 3s 3d ¹D -3s 4f ¹F transition.

Full Article | PDF Article

More Like This

Excitation energies and oscillator strengths in the silver isoelectronic sequence

Kwok-tsang Cheng and Yong-Ki Kim
J. Opt. Soc. Am. 69(1) 125-131 (1979)

Transition probabilities for the resonance transitions of Na-like ions*

Yong-Ki Kim and Kwok-tsang Cheng
J. Opt. Soc. Am. 68(6) 836-842 (1978)

Observations of n = 3 → n′ = 4 transitions in the Mg i and Si i sequences for elements chromium through zinc

S. O. Kastner, M. Swartz, A. K. Bhatia, and J. Lapides
J. Opt. Soc. Am. 68(11) 1558-1564 (1978)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (8)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (4)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Term	Configurations in the expansion
(i) Nonrelativistic
¹D	3s 3d, 3p², $3 d_{2}^{2}$ , 3p₂4f, 4s 4d, 4p², $4 d_{2}^{2}$ , $4 f_{2}^{2}$ , 3d₃ 5g
³D	3s 3d, 3p 4p, 3d₂ 4d₂, 3p₂ 4f, 4s 4d, 3d₃ 5g
¹F, ³F	3s 4f, 3p 3d, 3d₂ 4f₂, 3p₂ 5g, 4p 4d
(ii) Intermediate coupling with relativistic corrections
^1,3D	3s 3d (^1,3D), 3p² (¹D, ³P), $3 d_{2}^{2}$ (³F, ¹D, ³P)
^1,3F	3s 4f (^1,3F), 3p 4d (^1,3F, ^1,3D, ³P)

Z	3p^{2 1}D	3s 3d ³D	3s 3d ¹D	3p 3d ³F	3p 3d ¹F	3s 4f ³F	3s 4f ¹F
12		0.062 67	0.071 17			0.031 93	0.031 92
13	0.304 71	0.255 46	0.188 89	0.050 66		0.129 96	0.129 60
14	0.675 08	0.575 74	0.469 18	0.327 93		0.275 94	0.298 22
15	1.169 8	1.020 8	0.880 69	0.698 62	0.567 46	0.505 27	0.453 47
16	1.783 9	1.587 7	1.418 9	1.195 7	0.991 55	0.793 91	0.759 13
17	2.514 8	2.274 1	2.079 8	1.812 0	1.556 8	1.144 3	1.112 6
18	3.360 0	3.078 1	2.860 5	2.545 5	2.247 3	1.558 5	1.525 1
20	5.395 4	5.033 5	4.773 4	4.358 9	3.985 9	2.575 1	2.535 6
26	14.203	13.629	13.255	12.527	11.961	7.137 9	7.069 6
30	22.312	21.607	21.161	20.219	19.534	11.434	11.347
36		36.926	36.374			19.756	19.642
42		56.257	55.600			30.332	30.189
50	89.586	88.263	87.468	85.451	84.194	47.935	47.756
74		226.98	225.77			124.75	124.47

Z	3p^{2 1}D	3s 3d ³D	3s 3d ¹D	3p 3d ³F	3p 3d ¹F	3s 4f ³F	3s 4f ¹F
12 th		0.062 67	0.071 17			0.031 93	0.031 92
obs^a		0.062 48	0.069 56			0.031 86	0.031 86
diff		−0.000 19	−0.001 61			−0.000 07	−0.000 06
13 th	0.304 7	0.255 5	0.188 9	0.050 66		0.130 0	0.129 6
obs^a	0.302 5	0.256 6	0.190 3	0.048 96		0.129 6	0.129 4
diff	−0.0022	0.001 1	0.001 4	−0.001 70		−0.000 4	−0.000 2
14 th	0.675 1	0.575 7	0.496 2	0.327 9		0.275 9	0.298 2
obs^b	0.673 4	0.579 7	0.475 6	0.323 9		0.275 5	0.297 6
diff	−0.001 7	0.004 0	0.006 4	−0.004 0		−0.000 4	−0.000 6
15 th	1.169 8	1.020 8	0.880 7	0.698 6	0.567 5	0.505 3	0.453 5
obs^c	1.170 0	1.024 8	0.892 0	0.695 3	0.567 7	0.505 2	0.457 9
diff	0.000 2	0.004 0	0.011 3	−0.003 3	0.000 2	−0.000 1	0.004 4
20 th	5.395 4	5.033 5	4.773 4			2.575 1	2.535 6
obs^d	5.389 7	5.050 5	4.7911			2.579 4	2.533 8
diff	−0.005 7	0.017 0	0.017 7			0.004 3	−0.001 8
26 th	14.203	13.629	13.255	12.527		7.138	7.020
obs^e	14.245	13.695	13.322	12.508		7.187	7.121
diff	0.042	0.066	0.067	−0.019		0.045	0.051

	Mg I 3s 3d ¹D	Al II 3p^{2 1}D	Al II 3p 3d ³F
th	0.069 61	0.303 55	0.048 19
obs	0.069 56	0.302 46	0.048 96
diff	−0.000 05	−0.001 09	0.000 77

State	Zn xix	Mo xxxi	Sn xxxix	W lxii
3s 3d ³D	(21.607)	(56.257)	(88.26)	(226.98)
J = 3	21.602	56.312	88.43	228.24
2	21.623	56.440	88.82	230.93
1	21.636	56.519	88.92	231.31
3s 3d ¹D	(21.161)	(55.600)	(87.47)	(225.77)
J = 2	21.128	55.619	87.47	227.72
3p^{2 1}D	(22.312)		(89.59)
J = 2	22.318	57.546	90.16	233.09
3s 4f ³F	(11.434)	(30.332)	(47.93)	(124.75)
J = 4	11.416	30.325	47.95	125.02
3	11.418	30.348	48.01	125.48
2	11.420	30.364	48.04	125.38
3s 4f ¹F	(11.347)	(30.189)	(47.76)	(124.47)
J = 3	11.322	30.179	47.78	124.87

Z	λ(Å)	f_l	f_υ	α(Å)	f_l	f_υ
	(i) 3s 3d ¹D − 3s 4f¹F			(ii) 3s 3d ³D − 3s 4f ³F
12	11 607.	0.472	0.472	14 819.	0.780	0.786
13	7 685.	0.624	0.624	3 630.	0.617	0.646
14	2 665.	0.232	0.230	1 520.	1.007	0.946
15	1 066.5	1.436	1.423	883.9	0.916	0.905
16	690.6	1.141	1.135	574.0	0.867	0.872
17	471.1	0.939	0.932	403.3	0.860	0.865
18	341.2	0.842	0.834	299.8	0.850	0.866
20	203.6	0.756	0.749	185.3	0.855	0.872
26	73.67	0.694	0.704	70.19	0.898	0.888
30	46.42	0.685	0.675	44.79	0.921	0.912
36	27.23	0.681	0.675	26.54	0.938	0.929
42	17.93	0.679	0.673	17.58	0.950	0.942
50	11.47	0.677	0.673	11.30	0.961	0.954
74	4.50	0.675	0.672	4.46	0.980	0.975
	(iii) 3p^{2 1}D − 3s 4f ¹F			(iv) 3s 3d ³D − 3p 3d ³F
13	2602.	0.352	0.352	2224.	0.298	0.239
14	1209.	0.465	0.486	1838.	0.002	0.001
15	636.1	0.047	0.051	1414.	0.152	0.115
16	444.6	0.016	0.015	1162.	0.195	0.168
17	324.9	0.065	0.063	986.1	0.205	0.186
18	248.2	0.100	0.097	855.5	0.204	0.191
20	159.3	0.142	0.139	675.5	0.192	0.186
26	63.87	0.195	0.181	413.3	0.151	0.151
30	41.55	0.228	0.227	328.3	0.130	0.131
50	10.89	0.286	0.284	162.0	0.076	0.077
	(v) 3s 3d ¹D − 3p 3d ¹F			(vi) 3p^{2 1}D − 3p 3d ¹F
15	1455.	0.021	0.022	756.5	0.727	0.744
16	1066.	0.339	0.344	575.0	0.698	0.725
17	871.1	0.481	0.487	475.6	0.594	0.625
18	743.0	0.515	0.521	409.1	0.512	0.544
20	578.6	0.406	0.502	323.3	0.398	0.429
26	352.0	0.378	0.385	203.2	0.232	0.257
30	280.0	0.321	0.327	164.0	0.179	0.200
50	139.2	0.180	0.185	84.5	0.082	0.094

Transition J − J′	Zn xix			Mo xxxi			Sn xxxix			W lxiii
Transition J − J′	λ(Å)	f_R	f_NR	λ_R(Å)	λ(Å)	f_NR	λ(Å)	f	f_NR	λ(Å)	f_R	f_NR
3s 3d ³D − 3s 4f ³F	(44.79)			(17.58)			(11.30)			(4.46)
3 − 4	44.73	0.859	0.845	17.53	0.888	0.872	11.25	0.898	0.883	4.41	0.917	0.900
−3	44.74	0.074	0.073	17.55	0.077	0.075	11.27	0.076	0.076	4.43	0.065	0.078
−2	44.75	0.002	0.002	17.56	0.002	0.002	11.28	0.002	0.002	4.43	0.000	0.002
2 − 3	44.65	0.832	0.819	17.46	0.839	0.844	11.16	0.757	0.854	4.32	0.865	0.871
−2	44.66	0.104	0.102	17.47	0.106	0.106	11.17	0.087	0.107	4.32	0.012	0.109
1 − 2	44.60	0.936	0.921	17.42	0.977	0.950	11.15	0.993	0.961	4.30	0370	0.980
3s 3d ¹D − 3s 4f ¹F	(46.42)			(17.93)			(11.47)			(4.50)
2 − 3	46.46	0.709	0.685	17.91	0.646	0.679	11.48	0.464	0.677	4.43	0.868	0.675
3p^{2 1}D − 3s 4f ¹F	(41.55)						(10.89)
2 − 3	41.43	0.147	0.228	16.54	0.167		10.75	0.153	0.286	4.21	0.133

Z	λ(Å)		f_l		Other

	th	obs	ΔE(th)	ΔE(obs)	theory	experiment
				(i) 3s 3d ¹D − 3s 4f ¹F
12	11 607.	12 084.	0.472	0.453	0.52^a	0.29^b
13	7 685.	7 471.	0.624	0.642	1.1^c
14	2 665.	2 559.	0.232	0.242	1.1,^c 0.43^d
26	73.67	73.47	0.694	0.696	0.702^e
				(ii) 3s 3d ³D − 3s 4f ³F
12	14 819.	14 878.	0.780	0.777	0.487^a
13	3 630.	3 588.	0.617	0.624	0.678^f	0.56 ± 0.07,^g 0.42 ± 0.04^h
14	1520.	1501.	1.007	1.020	0.987^d	0.93 ± 0.05,ⁱ 0.42 ± 0.04^j
15	883.9	877.	0.916	0.923		0.77 ± 0.11,^k 0.40 ± 0.1^l
16	574.0	568.3	0.867	0.876		0.678 ± 0.13^m
17	403.3	399.9	0.860	0.867		0.57 ± 0.05ⁿ
18	299.8	297.6	0.850	0.856		0.38 ± 0.04ⁿ
26	70.19	70.0	0.898	0.900	0.906^e
				(iii) 3p^{2 1}D − 3s 4f ¹F
13	2602.	2632.	0.352	0.348		0.29 ± 0.01^g
14	1209.1	1210.	0.465	0.465	0.434^d
26	63.87	63.96	0.194	0.194	0.14^e
				(iv) 3s 3d ³D − 3p 3d ³F
13	2224.	2193.8	0.298	0.302	0.267^f	0.29 ± 0.01^g
14	1838.	1782.	0.001	0.001	0.0^d
15	1414.	1370.	0.151	0.156		0.13 ± 0.01^k
18	855.5	825.	0.204	0.212		0.20 ± 0.02^o
26	413.3	384.	0.151	0.162	0.158^p
50	162.0		0.076		0.077^p
				(v) 3s 3d ¹D − 3p 3d ¹F
15	1455.	1405.	0.021	0.022	0.65^p
16	1066.		0.339		0.68
18	743.0		0.515		0.62
20	578.6		0.496		0.55
30	280.0		0.321		0.337
50	139.2		0.180		0.185
				(vi) 3p ^{2 1}D − 3p 3d ¹F
15	756.5	756.5	0.727	0.727	0.73^p
16	575.0		0.698		0.63
20	323.3		0.398		0.37
30	164.0		0.179		0.17
50	84.5		0.082		0.079

Abstract

Cited By

Figures (2)

Tables (8)

Equations (4)

Journal of the Optical Society of America