Soft-x-ray spectra of krypton xxiv–xxvii in gas puff Z-pinch plasmas

R. E. Stewart; D. D. Dietrich; R. J. Fortner; R. Dukart

doi:10.1364/JOSAB.4.000396

Journal of the Optical Society of America B
Vol. 4,
Issue 3,
pp. 396-404
(1987)
•https://doi.org/10.1364/JOSAB.4.000396

Soft-x-ray spectra of krypton xxiv–xxvii in gas puff Z-pinch plasmas

R. E. Stewart, D. D. Dietrich, R. J. Fortner, and R. Dukart

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R. E. Stewart, D. D. Dietrich, R. J. Fortner, and R. Dukart, "Soft-x-ray spectra of krypton xxiv–xxvii in gas puff Z-pinch plasmas," J. Opt. Soc. Am. B 4, 396-404 (1987)

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Abstract

The spectra of krypton ions produced by the magnetic implosion of a krypton gas cylinder in the wavelength range from 10 to 250 Å have been observed. Lines from highly ionized krypton ions from Kr xxiv to Kr xxvii have been identified by isoelectronic sequence extrapolation and compared with ab initio relativistic calculations. Energy levels are derived for Kr xxvi.

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		λ Theory [Weighted Oscillator Strength (gf)]

Configurations	levels	Ab Initio^a	Semi-empirical	gf	λ Exp.
3s–5p	²S_1/2–²P_1/2	15.28		0.05	15.21 ± 0.05
	²S_1/2–²P_3/2	15.22		0.10	15.21 ± 0.05
3p–5d	²P_1/2–²D_3/2	16.07		0.20	16.07 ± 0.05
	²P_3/2–²D_5/2	16.33		0.39	16.34 ± 0.05
3d–5f	²D_3/2–²F_5/2	17.95		0.64	17.94 ± 0.05
	²D_5/2–2F_7/2	18.01		0.92	17.99 ± 0.05
3s–4p	²S_1/2–²P_3/2	21.20	21.18^b	0.35	21.19 ± 0.03
	²S_1/2–²P_1/2	21.39	21.37^b	0.20	21.38 ± 0.03
3p–4d	¹P_1/2–²D_3/2	22.28	22.26^b	0.77	22.26 ± 0.03
	²P_3/2–²D_5/2	22.77	22.74^b	1.47	22.75 ± 0.03
3p–4s	²P_1/2–²S_1/2	24.79	24.75^b	0.10	24.77 ± 0.03
	²P_3/2–²S_1/2	25.44	25.41^b	0.24	25.41 ± 0.03
3d–4f	²D_3/2–²F_5/2	25.66	25.62^b	3.78	25.63 ± 0.03
	²D_5/2–²F_7/2	25.77	25.72^b	5.41	25.72 ± 0.03
4s–5p	²S_1/2–²P_1/2	48.61			48.59 ± 0.03
	²S_1/2–²P_3/2	48.13			48.11 ± 0.03
4p–5d	²P_1/2–²D_3/2	49.94			49.93 ± 0.03
	²P_3/2–²D_5/2	50.88			50.86 ± 0.03
4d–5f	²D_3/2–²F_5/2	55.73			55.71 ± 0.03
	²D_5/2–²F_1/2	55.95			55.93 ± 0.03
4f–5g	²F_5/2–²G_1/2	59.43	59.390^b,^c		59.45 ± 0.03
	²F_7/2–²G_9/2	59.52	59.475^b,^c		59.45 ± 0.03
3p–3d	²P_1/2–²D_3/2	140.78	140.88^c	0.41	140.89 ± 0.03
	²P_3/2–²D_5/2	159.75	159.89^c	0.65	159.87 ± 0.03
	²P_3/2–²D_3/2	164.89	165.14^c	0.07	165.12 ± 0.03
3s–3p	²S_1/2–²P_3/2	178.85	178.97^c	0.43	178.98 ± 0.03
	²S_1/2–²P_1/2	219.63	220.03^c	0.17	220.07 ± 0.05

Configuration	Level		Experimental Energy (cm⁻¹)
3s	²S_1/2		0
3p	²P_1/2		454 400 ± 100
	²P_3/2		558 720 ± 100
3d	²D_3/2		1 164 300 ± 130^a
	²D_5/2		1 184 230 ± 150
4s	²S_1/2		4 492 860 ± 3500
4d	²P_1/2		4 677 300 ± 6900
	²P_1/2		4 719 200 ± 6900
4d	²D_3/2		4 946 800 ± 6100
	²D_5/2		4 954 300 ± 6100
4f	²F_5/2		5 066 000 ± 4800
	²F_7/2		5 072 300 ± 4800
5s	²S_1/2		– –
5p	²P_1/2		6 550 900 ± 3700
	²P_3/2		6 571 400 ± 3700
5d	²D_3/2		6 680 700 ± 7000
	²D_5/2		6 685 400 ± 7000
5f	²F_5/2		6 741 800 ± 6200
	²F_7/2		6 742 300 ± 6200
5g	²G_7/2	avg.	6 751 200 ± 4900
	2G_9/2	avg.	6 751 200 ± 4900
E_Ionization	(E_Theory = 9 721 865)		9 720 500 ± 4100

		λ Theory

Configurations	Levels	gf	Ab Initio^a	Semi-empirical^b	λ_exp (Å)
Kr xxv
3s3p–3s3d	³P₀–³D₁	0.21	126.01	126.81	126.96 ± 0.05
	³P₁–³D₂	0.45	128.58	129.42	129.51 ± 0.05
	³P₂–³D₃	0.79	140.56	141.56	141.64 ± 0.03
	¹P₁–¹D₂	1.27	143.75	145.44	145.48 ± 0.03
3s²–3s3p	¹S₀–¹P₁	0.59	156.77	158.14	158.15 ± 0.03
Kr xxiv
3s²3p–3s²3d	²P_3/2–²D_5/2	1.15	130.19	131.73	131.78 ± 0.05
3s²3p–3s3p²	²P_3/2–²P_3/2	0.92	148.14	149.63	149.69 ± 0.03

λ Exp.	Int.	Ion	gf	Term	λ Theory
132.43	07
133.00	09
132.24	10
134.09	06
134.81	08
135.31	06
136.04	11	xxiv	0.68	(s1/2, p1/2, p3/2)_3/2–(s1/2, p3/2, d3/2)_3/2	135.88
136.97	14	xxiv	0.79	(s1/2, p3/2, p3/2)_5/2–(s1/2, p3/2, d5/2)_5/2	136.77
138.01	12	xxiv	0.49	(s1/2, p1/2, p3/2)_3/2–(s1/2, p1/2, d5/2)_5/2	136.84
		xxiv	0.35	(s1/2, p3/2, p3/2)_1/2–(s1/2, p3/2, d5/2)_1/2	137.96
138.31sh	07
138.98bl	05
139.46	05
140.89	30	xxvi	0.41	²P_1/2–²D_3/2	140.78
141.64	20	xxv	0.79	³P₂–³D₃	140.56
143.01	05
143.90	10	xxv	0.40	(p3/2, p3/2)₀–(p3/2, d5/2)₁	143.96
144.40	08	xxv	0.52	(p3/2, p3/2)₂–(p3/2, d5/2)₂	145.28
144.73sh	05
145.48	25	xxv	1.27	¹P₁–¹D₂	143.75
146.15	07	xxvii	0.16	(p3/2, p1/2)₁–(p3/2, d5/2)₂	145.55
146.87	07	xxvii	0.13	(p3/2, p1/2)₂–(p3/2, d3/2)₂	145.74
	18	xxiv	0.64	(s1/2, s1/2, d3/2)_3/2–(s1/2, p3/2, d5/2)_3/2	146.03
147.39bl	04
148.66bl	04
148.61	16	xxv	0.71	(p3/2, p3/2)₂–(p3/2, d5/2)₃	147.59
146.69	23	xxiv	0.92	²P_3/2–²P_3/2	148.14
150.42	13	xxiv	0.46	(s1/2, s1/2, d5/2)_5/2–(s1/2, p3/2, d5/2)_3/2	148.75
150.88	11	xxiv	1.01	(s1/2, s1/2, d5/2)_5/2–(s1/2, p3/2, d5/2)_5/2	149.55
151.17	07	xxiv	0.46	(s1/2, s1/2, p1/2)_1/2–(s1/2, p1/2, p3/2)_1/2	150.54
		xxiv	0.36	(s1/2, s1/2, p3/2)_3/2–(s1/2, p3/2, p3/2)_1/2	150.66
		xxiv	0.48	(s1/2, s1/2, d5/2)_5/2–(s1/2, p3/2, d5/2)_3/2	150.98
		xxiv	.36	(s1/2, s1/2, d3/2)_3/2–(s1/2, p3/2, p3/2)_1/2	150.72
152.26sh	17	xxvii	0.61	(p3/2, p1/2)₂–(p3/2, d3/2)₃	152.03
153.99bl	04
155.09	15	xxv	1.38	(p3/2, d5/2)₃–(d5/2, d5/2)₄	155.17
155.09	05
158.15	26	xxv	0.59	¹S₀–¹P₁	156.77
159.87	40	xxvi	0.65	²P_3/2–²D_3/2	159.75
161.31	04
163.28	13	xxiv	1.91	(s1/2, s1/2, d5/2)_5/2–(s1/2, p3/2, d5/2)_7/2	161.94
163.66	08	xxv	0.22	(s1/2, p1/2)₀–(p1/2, p3/2)₁	162.45
164.16sh	05
165.12	20	xxvi	0.07	²P_3/2–²D_3/2	164.89
166.06	23	xxv	0.59	(s1/2, p3/2)₂–(p3/2, p3/2)₂	165.27
166.63	03
167.04bl	03
168.55	18	xxvii	0.44	(s1/2, p3/2)₁–(s1/2, d5/2)₂	166.32
169.66	14	xxv	0.40	(s1/2, d3/2)₂–(p3/2, d5/2)₂	168.61
		xxv	0.27	(s1/2, d3/2)¹–(p3/2, d3/2)₁	168.06
170.58sh		xxv	0.16	(s1/2, p1/2)¹–(p1/2, p3/2)₁	168.75
	04	xxvii	0.31	(p3/2, p3/2)₁–(p3/2, d3/2)₂	169.21
171.05	12	xxv	1.79	(p3/2, p5/2)₃–(d3/2, d5/2)₄	169.47
172.38	10	xxvii	0.52	(p3/2, p3/2)₂–(p3/2, d5/2)₃	172.03
172.89bl	09	xxvii	0.63	(p1/2, p3/2)₂–(p1/2, d5/2)₃	172.58
172.21bl	09	xxv	0.42	(s1/2, d5/2)₂–(p1/2, d5/2)₁	173.98
174.01		xxv	0.23	(s1/2, p3/2)₁–(p3/2, p3/2)₀	173.67
	10	xxvii	0.40	(p1/2, p3/2)¹–(p1/2, d5/2)₂	174.04
174.86	06
175.77	10	xxvii	0.27	(p3/2, s1/2)₂–(p3/2, p3/2)₂	175.24
176.17	10	xxvii	0.80	(p3/2, p3/2)₃–(p3/2, d5/2)₄	175.69
178.98	40	xxvi		²S_1/2–²P_3/2	178.85
180.61	04	xxvii	0.07	(s1/2, s1/2)₁–(s1/2, p3/2)₁	179.21
181.90	18	xxv	1.59	(s1/2, d5/2)₂–(p3/2, d5/2)₃	181.21
182.72sh	07
183.23	02
183.87	04	xxvii	0.24	(p3/2, s1/2)₁–(p3/2, p3/2)₂	183.40
185.60bl	04	xxvii	0.19	(p1/2, s1/2)₀–(p1/2, p3/2)₁	185.29
186.79	08	xxvii	0.52	(s1/2, s1/2)₁–(s1/2, p3/2)₂	186.24
		xxvii	0.48	(p1/2, s1/2)₁–(p1/2, p3/2)₂	186.05
188.33	11	xxvii	0.67	(p3/2, s1/2)₂–(p3/2, p3/2)₃	187.48
192.92	15	xxv	0.19	(s1/2, p1/2)₁–(p1/2, p1/2)₀	191.21
195.65	08	xxv	0.90	(s1/2, d5/2)₃–(p3/2, d5/2)₄	193.63
196.32	05	xxv	0.23	(s1/2, p3/2)₂–(p1/2, p3/2)₁	194.21
197.64	07	xxv	0.17	(s1/2, p3/2)₂–(p1/2, p3/2)₂	196.73
199.31	02
206.26	04
210.57bl	04
213.92bl	03
217.03	05
220.07	20	xxvi	0.17	²S_1/2–²P_1/2	219.63

				LS Designations		Experiment		Fit^a		Calc.^b

Lower Level	j	Upper Level	j	Lower	Upper	Å	eV	Å	eV	Å	eV
2p_1/23p_1/2	1	2p_1/23d_3/2	1	¹P₁	¹P₁	0.0	0.0	132.49	93.58	130.65	94.90
2p_3/23p_3/2	1	2p_3/23d_5/2	1	³D₁	³D₁	0.0	0.0	141.84	87.41	141.69	87.51
2p_3/23p_1/2	1	2p_3/23d_5/2	2	³S₁	³S₁	0.0	0.0	145.57	85.17	145.65	85.13
2p_3/23p_1/2	2	2p_3/23d_3/2	2	³D₂	³F₂	0.0	0.0	145.64	85.13	145.47	85.23
2p_3/23s_1/2	1	2p_3/23p_3/2	0	³P₁	³P₀	0.0	0.0	148.88	83.28	148.75	83.35
2p_1/23p_1/2	1	2p_1/23d_3/2	2	¹P₁	¹D₂	0.0	0.0	150.82	82.21	150.64	82.30
2p_3/23p_1/2	2	2p_3/23d_3/2	3	³D₂	³F₃	0.0	0.0	152.25	81.44	152.01	81.57
2p_3/23p_1/2	1	2p_3/23d_3/2	1	³S₁	³P₁	0.0	0.0	153.33	80.86	153.48	80.78
2p_3/23p_3/2	3	2p_3/23d_5/2	3	³D₃	¹F₃	0.0	0.0	162.04	76.51	161.84	76.61
2p_3/23p_3/2	1	2p_3/23d_3/2	2	³D₃	³F₂	170.58	72.68	169.70	73.06	169.49	73.15
2p_1/23s_1/2	1	2p_1/23p_1/2	0	¹P₁	¹S₀	0.0	0.0	171.38	72.35	166.53	74.45
2p_1/23p_1/2	0	2p_1/23d_3/2	1	¹S₀	¹P₁	0.0	0.0	172.13	72.03	172.39	71.92
2P_3/23p_3/2	2	2p_3/23d_5/2	3	¹D₂	¹F₃	172.38	71.93	172.80	71.75	172.44	71.90
2p_1/23p_3/2	2	2p_1/23d_5/2	3	³P₂	³D₂	172.89	71.71	173.19	71.59	172.90	71.71
2p_1/23p_3/2	1	2p_1/23d_5/2	2	³P₁	³D₂	174.01	71.25	173.79	71.34	173.61	71.41
2p_3/23s_1/2	2	2p_3/23p_3/2	2	³P₂	¹D₂	175.77	70.54	175.64	70.59	175.48	70.66
2p_3/23p_3/2	3	2p_3/23d_5/2	4	³D₃	³F4	176.17	70.38	176.18	70.37	176.04	70.43
2p_3/23p_3/2	3	2p₃/₂3d₃/₂	3	³D₃	³F₃	0.0	0.0	177.41	69.89	177.15	69.99
2p_3/23s_1/2	1	2p_3/23p_3/2	2	³P₁	¹D₂	183.87	67.43	183.86	67.43	183.81	67.45
2p_1/23s_1/2	0	2p_1/23p_3/2	1	³P₀	³P₁	185.60	66.80	185.69	66.77	185.41	66.87
2p_1/23s_1/2	1	2p_1/23p_3/2	2	¹P₁	³P₂	186.79	66.38	186.66	66.42	186.52	66.47
2p_3/23p_3/2	2	2p_3/23d_5/2	2	³P₂	³P₂	0.0	0.0	188.30	65.84	188.36	65.82
2p_3/23s_1/2	2	2p_3/23p_3/2	3	³P₂	³D₃	188.33	65.83	188.31	65.84	188.02	65.94
2p_3/23s_1/2	1	2p_3/23p_3/2	1	³P₁	³D₁	0.0	0.0	196.30	63.16	196.04	63.24
2p_3/23s_1/2	1	2P_3/23p_1/2	2	³P₁	³D₂	0.0	0.0	242.59	51.11	242.33	51.16

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Journal of the Optical Society of America B