Spectrum of La ix: an interesting example of configuration interaction

R. Gayasov; Y. N. Joshi

doi:10.1364/JOSAB.15.002614

Journal of the Optical Society of America B
Vol. 15,
Issue 10,
pp. 2614-2619
(1998)
•https://doi.org/10.1364/JOSAB.15.002614

Spectrum of La ix: an interesting example of configuration interaction

R. Gayasov and Y. N. Joshi

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
R. Gayasov and Y. N. Joshi, "Spectrum of La ix: an interesting example of configuration interaction," J. Opt. Soc. Am. B 15, 2614-2619 (1998)

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

Abstract

The spectrum of lanthanum was photographed in the 80–1220-Å region. The $5 s 5 p 4 f$ configuration in La ix was established for what is to the authors’ knowledge the first time in the In i isoelectronic sequence. Four levels belonging to the odd-parity system $5 s^{2} (5 p + 4 f)$ and twenty-seven levels belonging to the even-parity system $5 s^{2} (5 d + 6 s + 5 g) + 5 s 5 p^{2} + 5 s 5 p 4 f$ have been established. Two of the four odd-parity levels and twenty-five of the thirty-two even-parity levels are new. We carried out least-squares-fitting and relativistic Hartree–Fock calculations to show the strong configuration interaction effects in the even-configuration system. Forty-seven lines were classified in La ix, of which thirty-seven are new lines.

Full Article | PDF Article

More Like This

Revised and extended analyses of I ix and I x

S. S. Churilov, Y. N. Joshi, and R. R. Gayazov
J. Opt. Soc. Am. B 15(7) 1923-1931 (1998)

Revised and extended analysis of the spectrum of ten-times-ionized cerium (Ce xi)

Y. N. Joshi, A. N. Ryabtsev, and S. S. Churilov
J. Opt. Soc. Am. B 18(12) 1935-1942 (2001)

Analysis of seven-times-ionized barium: Ba viii

S. S. Churilov, Y. N. Joshi, and R. Gayasov
J. Opt. Soc. Am. B 18(1) 113-120 (2001)

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

Tables (5)

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 (2)

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

Configuration	Level	E (Exp.)	E (Calc.)	Δ	Parameter	LSF	LSF/HFR
$5 s 5 p^{2}$	$^{4} P_{1 / 2}$	127 670	127 750	-80	$E_{av} (5 s 5 p^{2})$	178 033 (118)	1.030
	$^{4} P_{3 / 2}$	143 356	143 436	-80	$F^{2} (5 p, 5 p)$	56 481 (788)	0.815
	$^{4} P_{5 / 2}$	153 628	153 509	119	α	0^a	–
	$^{2} P_{3 / 2}$	174 459	174 652	-193	$ζ_{5 p}$	19 024 (143)	1.053
	$^{2} D_{5 / 2}$	184 884	184 676	208	$G^{1} (5 s, 5 p)$	60 774 (306)	0.675
	$^{2} P_{1 / 2}$	191 315	191 087	229
	$^{2} S_{1 / 2}$	220 463	220 541	-78	$E_{av} (5 s^{2} 5 p)$	261 457^a	1.000
	$^{2} P_{1 / 2}$	221 736	221 864	-127	$ζ_{5 d}$	1 608^a	1.000
$5 s^{2} 5 d$	$^{2} D_{3 / 2}$	–	266 76	–	$R^{1} (5 p 5 p; 5 s, 5 d)$	66 945 (1310)	0.844
	$^{2} D_{5 / 2}$	–	270 201	–	$σ = 246$

E (Exp.)	E (Calc.)	Δ	J	Composition
Odd configurations: $5 s^{2} 5 p + 5 s^{2} 4 f$
0.0^a	0	–	0.5	$100 % 5 p^{2} P$
28 266.0^a	28 266	–	1.5	$100 % 5 p^{2} P$
99 771.1	99 771	–	2.5	$100 % 4 f^{2} F$
101 660.6	101 661	–	3.5	$100 % 4 f^{2} F$
Even configurations: $5 s 5 p^{2} + 5 s^{2} 5 d + 5 s 5 p 4 f + 5 s^{2} 6 s + 5 s^{2} 5 g$
127 670.4^b	127 701	-30	0.5	$90 % sp (^{3} P)^{4} P + 9 % sp (^{1} S)^{2} S + 2 % sp (^{3} P)^{2} P$
143 356.9^b	143 479	-122	1.5	$98 % sp (^{3} P)^{4} P + 2 % sp (^{1} D)^{2} D + 1 % sp (^{3} P)^{2} P$
153 628.1^b	153 548	80	2.5	$77 % sp (^{3} P)^{4} P + 21 % sp (^{1} D)^{2} D + 1 % 5 d (^{1} S)^{2} D$
174 459.3	174 649	-190	1.5	$84 % sp (^{1} D)^{2} D + 8 % sp (^{3} P)^{2} P + 6 % 5 d (^{1} S)^{2} D$
184 888.4	184 623	266	2.5	$70 % sp (^{1} D)^{2} D + 22 % sp (^{3} P)^{4} P + 5 % 5 d (^{1} S)^{2} D$
191 315.3^a	191 108	207	0.5	$68 % sp (^{3} P)^{2} P + 25 % sp (^{1} S)^{2} S + 7 % sp (^{3} P)^{4} P$
216 947.8	216 968	-21	2.5	$66 % sf (^{3} P)^{4} G + 20 % sf (^{3} P)^{4} F + 6 % sf (^{3} P)^{2} F$
219 995.4	219 965	30	3.5	$48 % sf (^{3} P)^{4} G + 42 % sf (^{3} P)^{4} F + 7 % sf (^{3} P)^{4} D$
220 463.2^a	220 564	-101	0.5	$66 % sp (^{1} S)^{2} S + 31 % sp (^{3} P)^{2} P + 3 % sp (^{3} P)^{4} P$
221 736.4^a	221 843	-106	1.5	$72 % sp (^{3} P)^{2} P + 18 % sf (^{3} F)^{4} F + 4 % sp (^{1} D)^{2} D$
222 651.2	222 790	-139	1.5	$63 % sf (^{3} P)^{4} F + 19 % sp (^{3} P)^{2} P + 6 % sf (^{3} P)^{2} D$
224 184.0	224 261	-77	2.5	$48 % sf (^{3} P)^{4} F + 20 % sf (^{3} P)^{4} D + 12 % sf (^{3} P)^{2} F$
224 528.1	224 445	84	3.5	$27 % sf (^{3} P)^{4} D + 24 % sf (^{3} P)^{2} F + 20 % sf (^{1} P)^{2} F$
225 404.0	225 181	223	4.5	$48 % sf (^{3} P)^{4} F + 43 % sf (^{3} P)^{4} G + 8 % sf (^{1} P)^{2} G$
231 868.2	231 919	-51	2.5	$51 % sf (^{3} P)^{2} F + 21 % sf (^{3} P)^{2} D + 17 % sf (^{3} P)^{4} G$
234 301.4	234 344	-43	3.5	$38 % sf (^{3} P)^{2} G + 24 % sf (^{3} P)^{2} F + 14 % sf (^{3} P)^{4} G$
	244 142		4.5	$53 % sf (^{3} P)^{4} G + 47 % sf (^{3} P)^{4} F$
245 526.8	245 327	200	3.5	$38 % sf (^{3} P)^{4} F + 26 % sf (^{3} P)^{4} D + 19 % sf (^{3} P)^{4} G$
	246 691		5.5	$100 % sf (^{3} P)^{4} G$
	247 496		2.5	$40 % sf (^{3} P)^{4} D + 29 % sf (^{3} P)^{4} F + 8 % sf (^{3} P)^{2} D$
249 703.5	249 740	-36	1.5	$39 % sf (^{3} P)^{4} D + 25 % 5 d (^{1} S)^{2} D + 16 % sf (^{3} P)^{4} F$
251 520.4	251 901	-381	3.5	$32 % sf (^{1} P)^{2} G + 25 % sf (^{3} P)^{4} D + 18 % sf (^{3} P)^{2} F$
	252 758		0.5	$100 % sf (^{3} P)^{4} D$
253 117.3	253 203	-86	1.5	$52 % sf (^{3} P)^{4} D + 33 % 5 d (^{1} S)^{2} D + 9 % sf (^{3} P)^{2} D$
254 070.0	253 943	127	2.5	$36 % sf (^{3} P)^{4} D + 24 % 5 d (^{1} S)^{2} D + 16 % sf (^{3} P)^{2} D$
	260 366		4.5	$70 % sf (^{3} P)^{2} G + 25 % sf (^{3} P)^{2} G + 3 % sf (^{3} P)^{4} F$
264 176.5	264 300	-124	2.5	$47 % 5 d (^{1} S)^{2} D + 29 % sf (^{3} P)^{2} D + 15 % sf (^{3} P)^{2} F$
271 182.1	270 961	221	1.5	$64 % sf (^{3} P)^{2} D + 22 % 5 d (^{1} S)^{2} D + 7 % sf (^{3} P)^{2} D$
278 244.0	277 983	261	2.5	$51 % sf (^{1} P)^{2} F + 32 % sf (^{3} P)^{2} F + 12 % sf (^{3} P)^{2} D$
279 688.7	279 727	-38	3.5	$52 % sf (^{1} P)^{2} F + 37 % sf (^{3} P)^{2} F + 5 % sf (^{3} P)^{2} G$
284 406.6	284 620	-214	3.5	$89 % sf (^{1} P)^{2} G + 7 % sf (^{3} P)^{2} G + 2 % sf (^{3} P)^{2} F$
285 070.3	285 134	-64	4.5	$66 % sf (^{1} P)^{2} G + 29 % sf (^{3} P)^{2} G + 2 % sf (^{3} P)^{4} G$
293 802.3	293 763	39	1.5	$60 % sf (^{1} P)^{2} D + 25 % sf (^{3} P)^{2} D + 10 % 5 d (^{1} S)^{2} D$
297 037.6	296 953	85	2.5	$71 % sf (^{1} P)^{2} D + 13 % 5 d (^{1} S)^{2} D + 11 % sf (^{3} P)^{2} D$
381 269^a	381 269^c		0.5	$79 % 6 s (^{1} S)^{2} S + 21 % ff (^{1} S)^{2} S$
	605 245^d		3.5	$100 % 5 g (^{1} S)^{2} G$
	605 269^d		4.5	$100 % 5 g (^{1} S)^{2} G$

I	λ (Å)	σ (cm^-1)	Δλ (Å)	Odd Level Even Level	Comments
70	202.393	494 087.6	0.000	$4 f^{2} F (5 / 2)$ – $5 g 593 859 (7 / 2)$	O v ^a
65	202.824	493 038.2	0.000	$4 f^{2} F (7 / 2)$ – $5 g 594 699 (9 / 2)$
35	262.285	381 264.7	0.003	$5 p^{2} P (1 / 2)$ – $6 s 381 269.3 (1 / 2)$
65	283.280	353 007.6	-0.004	$5 p^{2} P (3 / 2)$ – $6 s 381 269.2 (1 / 2)$
40	340.368	293 799.4	0.003	$5 p^{2} P (1 / 2)$ – $sf 293 802.3 (3 / 2)$
70	368.754	271 183.3	-0.002	$5 p^{2} P (1 / 2)$ – $sf 271 182.1 (3 / 2)$
60	372.062	268 772.6	-0.001	$5 p^{2} P (3 / 2)$ – $sf 297 037.6 (5 / 2)$
80	395.074	253 117.0	0.001	$5 p^{2} P (1 / 2)$ – $5 d 253 117.3 (3 / 2)$
50	400.478	249 701.4	0.003	$5 p^{2} P (1 / 2)$ – $sf 249 703.5 (3 / 2)$
15	411.670	242 913.3	0.005	$5 p^{2} P (3 / 2)$ – $sf 271 182.1 (3 / 2)$
100	423.890	235 910.5	0.000	$5 p^{2} P (3 / 2)$ – $5 d 264 176.5 (5 / 2)$
70	442.862	225 804.0	0.000	$5 p^{2} P (3 / 2)$ – $sf 254 070.0 (5 / 2)$
30	444.737	224 852.1	-0.002	$5 p^{2} P (3 / 2)$ – $5 d 253 117.3 (3 / 2)$
50	449.135	222 650.2	0.002	$5 p^{2} P (1 / 2)$ – $sf 222 651.2 (3 / 2)$
40	450.990	221 734.4	0.004	$5 p^{2} P (1 / 2)$ – $sp 221 736.4 (3 / 2)$
25	451.587	221 441.1	-0.007	$5 p^{2} P (3 / 2)$ – $sf 249 703.5 (3 / 2)$
20	453.589	220 463.9	-0.001	$5 p^{2} P (1 / 2)$ – $sp 220 463.2 (1 / 2)$
72	511.832	195 376.6	0.001	$4 f^{2} F (7 / 2)$ – $sf 297 037.6 (5 / 2)$
45	514.440	194 386.2	-0.003	$5 p^{2} P (3 / 2)$ – $sf 222 651.2 (3 / 2)$
75	515.377	194 032.8	-0.004	$4 f^{2} F (5 / 2)$ – $sf 293 802.3 (3 / 2)$
80	516.870	193 472.1	-0.005	$5 p^{2} P (3 / 2)$ – $sp 221 736.4 (3 / 2)$
70	520.300	192 196.7	0.001	$5 p^{2} P (3 / 2)$ – $sp 220 463.2 (1 / 2)$
78	522.697	191 315.5	-0.001	$5 p^{2} P (1 / 2)$ – $sp 191 315.3 (1 / 2)$
72	541.605	184 636.4	-0.003	$4 f^{2} F (5 / 2)$ – $sf 284 406.6 (7 / 2)$
75	545.227	183 409.7	0.000	$4 f^{2} F (7 / 2)$ – $sf 285 070.3 (9 / 2)$
43	547.212	182 744.4	0.005	$4 f^{2} F (7 / 2)$ – $sf 284 406.6 (7 / 2)$
44	555.810	179 917.6	0.000	$4 f^{2} F (5 / 2)$ – $sf 279 688.7 (7 / 2)$
80	560.309	178 472.9	0.000	$4 f^{2} F (5 / 2)$ – $sf 278 244.0 (5 / 2)$	Al iii ^b
86	561.708	178 028.4	-0.001	$4 f^{2} F (7 / 2)$ – $sf 279 688.7 (7 / 2)$
87	573.200	174 459.1	0.001	$5 p^{2} P (1 / 2)$ – $sp 174 459.3 (3 / 2)$
32	613.313	163 048.8	0.002	$5 p^{2} P (3 / 2)$ – $sp 191 315.3 (1 / 2)$
94	638.478	156 622.4	0.000	$5 p^{2} P (3 / 2)$ – $sp 184 888.4 (5 / 2)$
60	667.290	149 859.8	0.000	$4 f^{2} F (7 / 2)$ – $sf 251 520.4 (7 / 2)$
45	684.024	146 193.7	-0.002	$5 p^{2} P (3 / 2)$ – $sp 174 459.3 (3 / 2)$
72	695.090	143 866.2	0.000	$4 f^{2} F (7 / 2)$ – $sf 245 526.8 (7 / 2)$
74	743.330	134 529.7	0.003	$4 f^{2} F (5 / 2)$ – $sf 234 301.4 (7 / 2)$
87	753.911	132 641.6	-0.005	$4 f^{2} F (7 / 2)$ – $sf 234 301.4 (7 / 2)$
64	757.023	132 096.3	0.005	$4 f^{2} F (5 / 2)$ – $sf 231 868.2 (5 / 2)$
72	768.001	130 208.2	-0.004	$4 f^{2} F (7 / 2)$ – $sf 231 868.2 (5 / 2)$
85	783.265	127 670.7	-0.002	$5 p^{2} P (1 / 2)$ – $sp 127 670.4 (1 / 2)$
92	797.689	125 362.1	0.000	$5 p^{2} P (3 / 2)$ – $sp 153 628.1 (5 / 2)$
85	801.563	124 756.3	0.005	$4 f^{2} F (5 / 2)$ – $sf 224 528.1 (7 / 2)$
80	803.775	124 412.9	0.000	$4 f^{2} F (5 / 2)$ – $sf 224 184.0 (5 / 2)$
85	808.124	123 743.4	0.000	$4 f^{2} F (7 / 2)$ – $sf 225 404.0 (9 / 2)$
75	813.880	122 868.2	-0.005	$4 f^{2} F (7 / 2)$ – $sf 224 528.1 (7 / 2)$
84	831.779	120 224.3	0.000	$4 f^{2} F (5 / 2)$ – $sf 219 995.4 (7 / 2)$
65	853.412	117 176.7	-0.000	$4 f^{2} F (5 / 2)$ – $sf 216 947.8 (5 / 2)$
73	868.878	115 090.9	0.000	$5 p^{2} P (3 / 2)$ – $sp 143 356.9 (3 / 2)$
26	1006.004	99 403.2	0.012	$5 p^{2} P (3 / 2)$ – $sp 127 670.4 (1 / 2)$

Parameter	LSF	Accuracy	HFR	LSF/HFR
$5 s^{2} 5 p + 5 s^{2} 4 f$
$E_{av} (5 s^{2} 5 p)$	18 844		18 180
$ζ (5 p)$	18 844		18 180	1.037
$E_{av} (5 s^{2} 4 f)$	100 851		104 752	0.947
$ζ (4 f)$	540		673	0.802
$5 s 5 p^{2} + 5 s^{2} 5 d + 5 s 5 p 4 f + 5 s 4 f^{2} + 5 s^{2} 6 s + 5 s^{2} 5 g$
$E_{av} (5 s 5 p^{2})$	178 387	108	172 778	1.032
$F^{2} (5 p, 5 p)$	57 872	782	69 336	0.835
$α (5 p)$	0	(Fixed)
$ζ (5 p)$	19 129	132	18 063	1.059
$G^{1} (5 s, 5 p)$	60 839	297	90 088	0.675
$E_{av} (5 s^{2} 5 d)$	257 576	503	261 457	0.981
$ζ (5 d)$	1 788	289	1 608	1.112
$E_{av} (5 s 5 p 4 f)$	250 868	77	246 269	1.017
$ζ (4 f)$	636	47	679	0.938
$ζ (5 p)$	18 684	155	17 319	1.079
$F^{2} (4 f, 5 p)$	46 182	852	55 973	0.825
$G^{3} (4 f, 5 s)$	28 816	903	32 092	0.898
$G^{2} (4 f, 5 p)$	27 675	1282	28 709	0.964
$G^{4} (4 f, 5 p)$	14 355	2260	22 944	0.626
$G^{1} (5 s, 5 p)$	59 662	265	88 810	0.672
$E_{av} (5 s 4 f^{2})$	34 4221	(Fixed)	344 221	1.000
$F^{2} (4 f, 4 f)$	77 848	(Fixed)	97 310	0.800
$F^{4} (4 f, 4 f)$	49 182	(Fixed)	61 477	0.800
$F^{6} (4 f, 4 f)$	35 479	(Fixed)	44 348	0.800
$α (4 f)$	0	(Fixed)
$β (4 f)$	0	(Fixed)
$T (4 f)$	0	(Fixed)
$ζ (4 f)$	630	(Fixed)	630	1.000
$G^{3} (4 f, 5 s)$	23 227	(Fixed)	33 182	0.700
$E_{av} (5 s^{2} 6 s)$	382 634	(Fixed)	383 704	0.995
$E_{av} (5 s^{2} 5 g)$	604 989	(Fixed)	604 989	1.000
$ζ (5 g)$	6	(Fixed)	6	1.000
$R^{1} (5 p, 5 p; 5 s, 5 d)$	60 245	1197	79 362	0.759
$R^{2} (5 p, 5 p; 4 f 5 p)$	-33 049^a	(Fixed)	-38 289	0.863
$R^{2} (5 p, 5 p; 4 f, 4 f)$	22 326	(Fixed)	31 894	0.700
$R^{4} (5 p, 5 p; 4 f, 4 f)$	17 632	(Fixed)	25 189	0.700
$R^{1} (5 p, 5 p; 5 s, 6 s)$	-172	(Fixed)	-245	0.700
$R^{3} (5 s, 5 d; 4 f, 5 p)$	-24 464^a	(Fixed)	-29 905	0.818
$R^{1} (5 s, 5 d; 5 p, 4 f)$	-22 471^a	(Fixed)	-31 036	0.724
$R^{3} (5 s, 5 d; 4 f, 4 f)$	15 989	(Fixed)	22 842	0.700
$R^{2} (4 f, 5 p; 4 f, 4 f)$	-15 512	(Fixed)	-22 159	0.700
$R^{4} (4 f, 5 p; 4 f, 4 f)$	-8 977	(Fixed)	-12 824	0.700
$R^{3} (4 f, 5 p; 5 s, 5 g)$	-12 324	(Fixed)	-17 606	0.700
$R^{1} (4 f, 5 p; 5 g, 5 s)$	-19 009	(Fixed)	-27 155	0.700
$R^{3} (4 f, 4 f; 5 s, 6 s)$	7 064	(Fixed)	10 091	0.700
$R^{3} (4 f, 4 f; 5 s, 5 g)$	8 409	(Fixed)	12 013	0.700
σ	221

E (Calc.)	Config.	J	Largest LS Composition
525 745	$p^{2} 5 d$	1.5	$62 % p^{2} 5 d (^{3} P)^{2} F + 12 % p^{2} 5 d (^{1} S)^{2} D + 10 % p^{2} 5 d (^{3} P)^{4} D$
592 335	$p^{2} 5 d$	3.5	$25 % p^{2} 5 d (^{3} P)^{2} F + 21 % p^{2} 5 d (^{1} D)^{2} F + 17 % sp 5 f (^{3} P)^{4} H$
594 049^a	$5 g$	3.5	$58 % 5 g (^{1} S)^{2} G + 11 % pf 5 d (^{3} G)^{4} H + 9 % pf 5 d (^{3} F)^{4} H$
594 223	$pf 5 d$	2.5	$42 % pf 5 d (^{3} F)^{4} G + 20 % pf 5 d (^{3} G)^{4} G + 7 % pf 5 d (^{3} G)^{2} F$
594 816^a	$5 g$	4.5	$88 % 5 g (^{1} S)^{2} G + 3 % sp 5 d (^{1} P)^{2} G + 3 % p^{2} 5 d (^{1} D)^{2} G$
595 342	$pf 5 d$	3.5	$22 % pf 5 d (^{3} F)^{4} G + 17 % 5 g (^{1} S)^{2} G + 13 % pf 5 d (^{3} G)^{4} H$
596 817	$pf 5 d$	4.5	$22 % pf 5 d (^{3} F)^{4} H + 18 % pf 5 d (^{3} G)^{4} I + 14 % pf 5 d (^{3} G)^{4} H$
297 593	$pf 5 d$	3.5	$18 % pf 5 d (^{1} F)^{2} G + 16 % 5 g (^{1} S)^{2} G + 9 % pf 5 d (^{3} G)^{4} H$
609 922	$sp 5 f$	2.5	$27 % sp 5 f (^{3} P)^{4} G + 27 % p^{2} 5 d (^{1} S)^{2} G + 16 % sp 5 f (^{3} P)^{2} F$
610 537	$pf 5 d$	5.5	$24 % pf 5 d (^{3} F)^{4} G + 16 % pf 5 d (^{3} F)^{2} G + 13 % pf 5 d (^{3} G)^{4} I$
610 639	$pf 5 d$	1.5	$29 % pf 5 d (^{1} F)^{2} D + 21 % pf 5 d (^{3} G)^{2} G$
683 060	$sp 5 f$	4.5	$87 % sp 5 f (^{1} P)^{2} G + 4 % p^{2} 5 d (^{1} D)^{2} G + 3 % 5 g (^{1} S)^{2} G$
683 071	$sp 5 f$	3.5	$86 % sp 5 f (^{1} P)^{2} G + 3 % 5 g (^{1} S)^{2} G + 3 % p^{2} 5 d (^{1} D)^{2} G$

Abstract

Cited By

Tables (5)

Equations (2)

Journal of the Optical Society of America B