Extended calculations of energy levels, radiative properties, and   lifetimes for oxygen-like Mo XXXV

Kai Wang; Wei Zhang; Xiao Hui Zhao; Zhan Bin Chen; Chong; Yang Chen; Jun Yan

arXiv:1907.11548·physics.atom-ph·September 4, 2019

Extended calculations of energy levels, radiative properties, and lifetimes for oxygen-like Mo XXXV

Kai Wang, Wei Zhang, Xiao Hui Zhao, Zhan Bin Chen, Chong, Yang Chen, Jun Yan

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TL;DR

This paper presents highly accurate atomic data for 318 energy levels of oxygen-like molybdenum (Mo XXXV) using advanced computational methods, aiding plasma diagnostics and line identification.

Contribution

The study provides comprehensive, benchmark-quality atomic data for Mo XXXV, combining two state-of-the-art methods for the first time for these levels.

Findings

01

Accurate excitation energies and lifetimes for 318 levels.

02

Detailed transition data including wavelengths and oscillator strengths.

03

Data useful for plasma modeling and line identification.

Abstract

Employing two state-of-the-art methods, second-order many-body perturbation theory and multiconfiguration Dirac-Fock, highly accurate calculations are performed for the lowest 318 fine-structure levels arising from the $2 s^{2} 2 p^{4}$ , $2 s 2 p^{5}$ , $2 p^{6}$ , $2 s^{2} 2 p^{3} 3 l$ , $2 s 2 p^{4} 3 l$ , $2 p^{5} 3 l$ , and $2 s^{2} 2 p^{3} 4 l$ configurations in O-like \mbox{Mo XXXV}. Complete and consistent atomic data, including excitation energies, lifetimes, wavelengths, and E1, E2, M1 line strengths, oscillator strengths, and transition rates among these 318 levels are provided. Comparisons are made between the present two data sets, as well as with other available experimental and theoretical values. The present data are accurate enough for identification and deblending of emission lines involving the $n = 3, 4$ levels and are also useful for modeling and diagnosing fusion plasmas\kw{. These data…

Tables4

Table 1. Table 1: Excitation energies ( E 𝐸 E in cm -1 ) and lifetimes ( τ 𝜏 \tau in s -1 ) for the lowest 318 levels arising from the 2 s 2 2 p 4 2 superscript 𝑠 2 2 superscript 𝑝 4 2s^{2}2p^{4} , 2 s 2 p 5 2 𝑠 2 superscript 𝑝 5 2s2p^{5} , 2 p 6 2 superscript 𝑝 6 2p^{6} , 2 s 2 2 p 3 3 l 2 superscript 𝑠 2 2 superscript 𝑝 3 3 𝑙 2s^{2}2p^{3}3l , 2 s 2 p 4 3 l 2 𝑠 2 superscript 𝑝 4 3 𝑙 2s2p^{4}3l , 2 p 5 3 l 2 superscript 𝑝 5 3 𝑙 2p^{5}3l , and 2 s 2 2 p 3 4 l 2 superscript 𝑠 2 2 superscript 𝑝 3 4 𝑙 2s^{2}2p^{3}4l configurations of O-like Mo XXXV from the present MBPT and MCDF calculations. J π 𝐽 𝜋 J\pi : the total quantum number J 𝐽 J and parity π 𝜋 \pi ; Δ E Δ 𝐸 \Delta E – the differences (in cm -1 ) between the MBPT and MCDF calculated excitation energies.

Key	$L S J$ -coupled CSF	$J π$	$E_{MCDF}$	$E_{MBPT}$	$Δ E$	$τ_{MCDF}$	$τ_{MBPT}$	$j j$ -coupled CSF^a,b,c
1	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{2}$	2+	0	0	0			2p+2(4)4
2	$2 s^{2} 2 p^{4} (^{1} S) {}^{1}S_{0}$	0+	207772	207830	57	7.987E-02	7.987E-02	2p+2(0)0
3	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{1}$	1+	863686	863215	-471	7.767E-08	7.767E-08	2p-1(1)1.2p+3(3)2
4	$2 s^{2} 2 p^{4} (^{1} D) {}^{1}D_{2}$	2+	976768	976432	-337	1.414E-07	1.414E-07	2p-1(1)1.2p+3(3)4
5	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{0}$	0+	1921492	1920667	-825	2.842E-08	2.842E-08	2p+4(0)0
6	$2 s {}^{2}S 2 p^{5} {}^{3}P_{2}^{\circ}$	2-	2379704	2380355	651	4.938E-12	4.938E-12	2s+1(1)1.2p+3(3)4
7	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	1-	2654158	2655091	933	2.294E-12	2.294E-12	2s+1(1)1.2p+3(3)2
8	$2 s {}^{2}S 2 p^{5} {}^{3}P_{0}^{\circ}$	0-	3289601	3289830	228	3.061E-12	3.061E-12	2s+1(1)1.2p-1(1)0
9	$2 s {}^{2}S 2 p^{5} {}^{1}P_{1}^{\circ}$	1-	3529720	3530442	722	1.845E-12	1.845E-12	2s+1(1)1.2p-1(1)2
10	$2 p^{6} {}^{1}S_{0}$	0+	5271717	5272387	670	1.321E-12	1.321E-12	2p+4(0)0
11	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 s {}^{3}D_{2}^{\circ}$	2-	20650637	20651158	521	1.486E-13	1.486E-13	2p+1(3)3.3s+1(1)4
12	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 s {}^{3}D_{1}^{\circ}$	1-	20696082	20696833	752	4.980E-14	4.980E-14	2p+1(3)3.3s+1(1)2
13	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}D_{1}$	1+	21088106	21087880	-226	1.209E-11	1.209E-11	2p+1(3)3.3p-1(1)2
14	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 p {}^{3}P_{2}$	2+	21100632	21100445	-188	1.121E-11	1.121E-11	2p+1(3)3.3p-1(1)4
15	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{1}F_{3}$	3+	21339859	21339494	-365	1.264E-11	1.264E-11	2p+1(3)3.3p+1(3)6
16	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 p {}^{3}P_{1}$	1+	21342916	21342630	-286	7.800E-12	7.800E-12	2p+1(3)3.3p+1(3)2
17	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 s {}^{5}S_{2}^{\circ}$	2-	21442137	21442500	363	1.304E-13	1.304E-13	2p-1(1)1.2p+2(4)3.3s+1(1)4
18	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}D_{2}$	2+	21443360	21443353	-7	1.076E-11	1.076E-11	2p+1(3)3.3p+1(3)4
19	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 s {}^{3}S_{1}^{\circ}$	1-	21486265	21486867	603	4.736E-14	4.736E-14	2p-1(1)1.2p+2(4)3.3s+1(1)2
20	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 p {}^{3}P_{0}$	0+	21539884	21540069	186	2.594E-12	2.594E-12	2p+1(3)3.3p+1(3)0
21	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 s {}^{3}D_{3}^{\circ}$	3-	21572314	21572756	443	7.952E-14	7.952E-14	2p-1(1)1.2p+2(4)5.3s+1(1)6
22	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 s {}^{1}D_{2}^{\circ}$	2-	21606547	21607149	602	5.000E-14	5.000E-14	2p-1(1)1.2p+2(4)5.3s+1(1)4
23	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 s {}^{3}P_{0}^{\circ}$	0-	21744917	21745043	126	1.148E-13	1.148E-13	2p-1(1)1.2p+2(0)1.3s+1(1)0
24	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 s {}^{3}P_{1}^{\circ}$	1-	21759710	21759924	214	5.902E-14	5.902E-14	2p-1(1)1.2p+2(0)1.3s+1(1)2
25	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}D_{2}^{\circ}$	2-	21839491	21840372	881	2.556E-13	2.556E-13	2p+1(3)3.3d-1(3)4
26	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}G_{3}^{\circ}$	3-	21862744	21863661	917	9.965E-13	9.965E-13	2p+1(3)3.3d-1(3)6
27	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 p {}^{5}P_{1}$	1+	21870635	21870247	-388	1.675E-11	1.675E-11	2p-1(1)1.2p+2(4)3.3p-1(1)2
28	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{5}D_{1}^{\circ}$	1-	21879333	21880156	823	3.845E-14	3.845E-14	2p+1(3)3.3d-1(3)2
29	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{1}S_{0}^{\circ}$	0-	21881341	21882166	825	1.763E-12	1.763E-12	2p+1(3)3.3d-1(3)0
30	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{1}G_{4}^{\circ}$	4-	21916177	21917059	882	7.989E-11	7.989E-11	2p+1(3)3.3d+1(5)8
31	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}F_{2}$	2+	21918698	21918410	-288	2.298E-11	2.298E-11	2p-1(1)1.2p+2(4)3.3p-1(1)4
32	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{5}D_{2}^{\circ}$	2-	21962255	21963172	916	1.412E-14	1.412E-14	2p+1(3)3.3d+1(5)4
33	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}F_{3}$	3+	22015588	22015303	-285	1.645E-11	1.645E-11	2p-1(1)1.2p+2(4)5.3p-1(1)6
34	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}F_{3}^{\circ}$	3-	22044284	22045384	1101	6.373E-15	6.373E-15	2p+1(3)3.3d+1(5)6
35	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{3}D_{1}^{\circ}$	1-	22071986	22073049	1063	9.081E-15	9.081E-15	2p+1(3)3.3d+1(5)2
36	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 p {}^{5}P_{3}$	3+	22126012	22125475	-537	1.060E-11	1.060E-11	2p-1(1)1.2p+2(4)3.3p+1(3)6
37	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 p {}^{5}P_{2}$	2+	22127625	22127143	-482	5.112E-12	5.112E-12	2p-1(1)1.2p+2(4)3.3p+1(3)4
38	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}P_{0}$	0+	22138613	22138217	-395	6.649E-12	6.649E-12	2p-1(1)1.2p+2(4)3.3p+1(3)0
39	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}P_{2}$	2+	22148113	22148354	241	2.477E-12	2.477E-12	2p-1(1)1.2p+2(4)5.3p-1(1)4
40	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}D_{1}$	1+	22149046	22148482	-565	9.339E-12	9.339E-12	2p-1(1)1.2p+2(0)1.3p-1(1)2
41	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{1}P_{1}$	1+	22244154	22243774	-380	6.644E-12	6.644E-12	2p-1(1)1.2p+2(4)3.3p+1(3)2
42	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}D_{3}$	3+	22252714	22252265	-450	1.188E-11	1.188E-11	2p-1(1)1.2p+2(4)5.3p+1(3)6
43	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}F_{4}$	4+	22263500	22263072	-427	1.520E-11	1.520E-11	2p-1(1)1.2p+2(4)5.3p+1(3)8
44	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{3}P_{1}$	1+	22350764	22350673	-91	1.665E-12	1.665E-12	2p-1(1)1.2p+2(4)5.3p+1(3)2
45	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}P_{0}$	0+	22358146	22358194	47	2.632E-12	2.632E-12	2p-1(1)1.2p+2(0)1.3p-1(1)0
46	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 p {}^{1}D_{2}$	2+	22421438	22421218	-220	1.940E-12	1.940E-12	2p-1(1)1.2p+2(4)5.3p+1(3)4
47	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}P_{1}$	1+	22462553	22462031	-522	2.220E-12	2.220E-12	2p-1(1)1.2p+2(0)1.3p+1(3)2
48	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}D_{2}$	2+	22486651	22486365	-286	2.754E-12	2.754E-12	2p-1(1)1.2p+2(0)1.3p+1(3)4
49	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 s {}^{3}P_{2}^{\circ}$	2-	22538636	22538645	9	5.859E-14	5.859E-14	2p+3(3)3.3s+1(1)4
50	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 s {}^{1}P_{1}^{\circ}$	1-	22568066	22568222	156	4.521E-14	4.521E-14	2p+3(3)3.3s+1(1)2
51	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}D_{1}^{\circ}$	1-	22648460	22649188	727	6.105E-14	6.105E-14	2p-1(1)1.2p+2(4)3.3d-1(3)2
52	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}F_{2}^{\circ}$	2-	22655526	22656275	749	5.151E-14	5.151E-14	2p-1(1)1.2p+2(4)3.3d-1(3)4
53	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{5}D_{0}^{\circ}$	0-	22659553	22660287	734	7.713E-14	7.713E-14	2p-1(1)1.2p+2(4)3.3d-1(3)0
54	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{5}D_{3}^{\circ}$	3-	22685184	22685956	772	3.907E-14	3.907E-14	2p-1(1)1.2p+2(4)3.3d-1(3)6
55	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{5}D_{4}^{\circ}$	4-	22704297	22705079	782	8.306E-11	8.306E-11	2p-1(1)1.2p+2(4)3.3d+1(5)8
56	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{3}D_{3}^{\circ}$	3-	22712027	22712898	871	9.071E-14	9.071E-14	2p-1(1)1.2p+2(4)3.3d+1(5)6
57	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 s {}^{5}P_{3}$	3+	22715626	22714630	-996	5.899E-13	5.899E-13	2s+1(1)1.2p+2(4)5.3s+1(1)6
58	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}G_{4}^{\circ}$	4-	22783461	22784420	959	4.242E-11	4.242E-11	2p-1(1)1.2p+2(4)5.3d-1(3)8
59	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{1}P_{1}^{\circ}$	1-	22790735	22791579	844	1.430E-14	1.430E-14	2p-1(1)1.2p+2(4)3.3d+1(5)2
60	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}P_{2}^{\circ}$	2-	22812793	22813601	807	8.916E-15	8.916E-15	2p-1(1)1.2p+2(4)3.3d+1(5)4
61	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 s {}^{3}P_{2}$	2+	22829810	22829389	-421	6.458E-14	6.458E-14	2s+1(1)1.2p+2(4)5.3s+1(1)4
62	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}F_{4}^{\circ}$	4-	22830158	22831043	885	7.617E-11	7.617E-11	2p-1(1)1.2p+2(4)5.3d+1(5)8
63	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}D_{3}^{\circ}$	3-	22837163	22838068	905	6.548E-15	6.548E-15	2p-1(1)1.2p+2(4)5.3d-1(3)6
64	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}G_{5}^{\circ}$	5-	22840848	22841781	933	8.437E-11	8.437E-11	2p-1(1)1.2p+2(4)5.3d+1(5)10
65	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}P_{0}^{\circ}$	0-	22878419	22879263	844	1.369E-14	1.369E-14	2p-1(1)1.2p+2(4)5.3d+1(5)0
66	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}P_{1}^{\circ}$	1-	22881477	22882356	879	6.387E-15	6.387E-15	2p-1(1)1.2p+2(4)5.3d-1(3)2
67	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}D_{2}^{\circ}$	2-	22885462	22886390	928	6.273E-15	6.273E-15	2p-1(1)1.2p+2(4)5.3d-1(3)4
68	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{1}D_{2}^{\circ}$	2-	22930758	22931410	652	2.118E-14	2.118E-14	2p-1(1)1.2p+2(0)1.3d-1(3)4
69	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{3}S_{1}^{\circ}$	1-	22940955	22941641	686	6.400E-15	6.400E-15	2p-1(1)1.2p+2(4)5.3d+1(5)2
70	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{1}F_{3}^{\circ}$	3-	22977582	22978659	1077	9.410E-15	9.410E-15	2p-1(1)1.2p+2(4)5.3d+1(5)6
71	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}F_{2}^{\circ}$	2-	23012320	23013008	688	1.064E-14	1.064E-14	2p-1(1)1.2p+2(4)5.3d+1(5)4
72	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}S_{1}$	1+	23036093	23035602	-491	1.174E-12	1.174E-12	2p+3(3)3.3p-1(1)2
73	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}P_{2}^{\circ}$	2-	23063727	23064263	536	6.713E-15	6.713E-15	2p-1(1)1.2p+2(0)1.3d+1(5)4
74	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{1}D_{2}$	2+	23069439	23069193	-246	8.834E-12	8.834E-12	2p+3(3)3.3p-1(1)4
75	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}F_{3}^{\circ}$	3-	23069895	23070507	613	9.205E-15	9.205E-15	2p-1(1)1.2p+2(0)1.3d+1(5)6
76	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}D_{1}^{\circ}$	1-	23081697	23082323	626	5.017E-15	5.017E-15	2p-1(1)1.2p+2(0)1.3d-1(3)2
77	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 s {}^{5}P_{1}$	1+	23094509	23093648	-861	1.684E-13	1.684E-13	2s+1(1)1.2p+2(0)1.3s+1(1)2
78	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 s {}^{3}D_{2}$	2+	23128999	23128516	-484	3.537E-13	3.537E-13	2s+1(1)1.2p+2(4)3.3s+1(1)4
79	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 s {}^{3}D_{1}$	1+	23157234	23156969	-265	5.432E-14	5.432E-14	2s+1(1)1.2p+2(4)3.3s+1(1)2
80	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}P_{2}^{\circ}$	2-	23165854	23166004	150	2.510E-13	2.510E-13	2s+1(1)1.2p+2(4)5.3p-1(1)4
81	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}D_{3}^{\circ}$	3-	23186328	23186536	208	1.043E-13	1.043E-13	2s+1(1)1.2p+2(4)5.3p-1(1)6
82	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}D_{3}$	3+	23213386	23212496	-891	9.651E-12	9.651E-12	2p+3(3)3.3p+1(3)6
83	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 s {}^{3}P_{0}$	0+	23218954	23218728	-227	8.762E-14	8.762E-14	2s+1(1)1.2p+2(0)1.3s+1(1)0
84	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{1}P_{1}$	1+	23222776	23222019	-758	1.549E-12	1.549E-12	2p+3(3)3.3p+1(3)2
85	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{3}P_{2}$	2+	23274896	23274181	-715	1.733E-12	1.733E-12	2p+3(3)3.3p+1(3)4
86	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}D_{4}^{\circ}$	4-	23407091	23407083	-8	1.195E-11	1.195E-11	2s+1(1)1.2p+2(4)5.3p+1(3)8
87	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}D_{3}^{\circ}$	3-	23413650	23413685	35	4.956E-14	4.956E-14	2s+1(1)1.2p+2(4)5.3p+1(3)6
88	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}P_{1}^{\circ}$	1-	23444458	23444653	195	4.504E-14	4.504E-14	2s+1(1)1.2p+2(4)5.3p+1(3)2
89	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 p {}^{1}S_{0}$	0+	23492292	23492568	276	7.453E-13	7.453E-13	2p+3(3)3.3p+1(3)0
90	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 p {}^{3}P_{0}^{\circ}$	0-	23537382	23537683	301	2.573E-13	2.573E-13	2s+1(1)1.2p+2(0)1.3p-1(1)0
91	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}D_{2}^{\circ}$	2-	23541715	23542198	483	1.184E-13	1.184E-13	2s+1(1)1.2p+2(4)5.3p+1(3)4
92	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}D_{1}^{\circ}$	1-	23548591	23549121	531	4.606E-14	4.606E-14	2s+1(1)1.2p+2(4)3.3p-1(1)2
93	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}S_{1}^{\circ}$	1-	23564212	23564591	379	3.439E-14	3.439E-14	2s+1(1)1.2p+2(0)1.3p-1(1)2
94	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}P_{2}^{\circ}$	2-	23577362	23578052	690	2.185E-14	2.185E-14	2s+1(1)1.2p+2(4)5.3p+1(3)4
95	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 s {}^{5}P_{2}$	2+	23682878	23681954	-924	1.228E-13	1.228E-13	2s+1(1)1.2p-1(1)0.2p+3(3)3.3s+1(1)4
96	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 s {}^{3}P_{1}$	1+	23751261	23750615	-646	6.640E-14	6.640E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3s+1(1)2
97	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}P_{0}^{\circ}$	0-	23753511	23753847	337	7.562E-15	7.562E-15	2p+3(3)3.3d-1(3)0
98	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{1}S_{0}^{\circ}$	0-	23779035	23779438	403	2.892E-12	2.892E-12	2s+1(1)1.2p+2(4)3.3p+1(3)0
99	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}P_{1}^{\circ}$	1-	23781592	23781909	316	8.751E-15	8.751E-15	2p+3(3)3.3d-1(3)2
100	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}F_{4}^{\circ}$	4-	23786871	23787263	392	7.841E-11	7.841E-11	2p+3(3)3.3d+1(5)8
101	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{1}F_{3}^{\circ}$	3-	23787902	23788261	358	4.315E-14	4.315E-14	2s+1(1)1.2p+2(4)3.3p+1(3)6
102	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}S_{2}^{\circ}$	2-	23791620	23791878	258	1.948E-13	1.948E-13	2p+3(3)3.3d+1(5)4
103	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 3 d {}^{1}D_{2}^{\circ}$	2-	23818232	23818527	295	2.386E-13	2.386E-13	2p+3(3)3.3d+1(5)4
104	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{1}F_{3}^{\circ}$	3-	23819697	23820317	620	6.830E-15	6.830E-15	2p+3(3)3.3d-1(3)6
105	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}D_{1}^{\circ}$	1-	23837218	23837547	329	2.559E-14	2.559E-14	2s+1(1)1.2p+2(0)1.3p+1(3)2
106	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}D_{2}^{\circ}$	2-	23843955	23844431	476	1.309E-14	1.309E-14	2p+3(3)3.3d-1(3)4
107	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 3 d {}^{3}D_{2}^{\circ}$	2-	23854364	23854973	608	1.751E-14	1.751E-14	2p+3(3)3.3d-1(3)4
108	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{3}D_{3}^{\circ}$	3-	23861693	23862126	433	2.050E-13	2.050E-13	2p+3(3)3.3d+1(5)6
109	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 s {}^{3}D_{3}$	3+	23862007	23861188	-820	6.398E-14	6.398E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3s+1(1)6
110	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}D_{3}$	3+	23899088	23898277	-811	2.026E-12	2.026E-12	2s+1(1)1.2p+2(4)5.3d-1(3)6
111	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}D_{2}$	2+	23903361	23902537	-824	9.447E-13	9.447E-13	2s+1(1)1.2p+2(4)5.3d-1(3)4
112	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}D_{4}$	4+	23916369	23915549	-820	1.326E-11	1.326E-11	2s+1(1)1.2p+2(4)5.3d-1(3)8
113	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}P_{1}$	1+	23924709	23923905	-804	1.037E-13	1.037E-13	2s+1(1)1.2p+2(4)5.3d-1(3)2
114	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}D_{1}^{\circ}$	1-	23936560	23937388	828	3.786E-14	3.786E-14	2s+1(1)1.2p+2(4)3.3p+1(3)2
115	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 s {}^{1}D_{2}$	2+	23941001	23940596	-405	7.081E-14	7.081E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3s+1(1)4
116	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}F_{5}$	5+	23959870	23959106	-764	1.837E-11	1.837E-11	2s+1(1)1.2p+2(4)5.3d+1(5)10
117	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}F_{4}$	4+	24002699	24002145	-554	4.271E-12	4.271E-12	2s+1(1)1.2p+2(4)5.3d-1(3)8
118	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 3 d {}^{1}P_{1}^{\circ}$	1-	24007125	24007800	676	3.648E-15	3.648E-15	2p+3(3)3.3d+1(5)2
119	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}P_{0}$	0+	24043050	24042440	-611	4.455E-14	4.455E-14	2s+1(1)1.2p+2(4)5.3d+1(5)0
120	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 s {}^{3}P_{1}$	1+	24080223	24079741	-482	9.645E-14	9.645E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3s+1(1)2
121	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}P_{1}$	1+	24098456	24097870	-586	1.475E-14	1.475E-14	2s+1(1)1.2p+2(4)5.3d+1(5)2
122	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 s {}^{3}P_{0}$	0+	24102121	24101864	-258	6.571E-14	6.571E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3s+1(1)0
123	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}P_{1}^{\circ}$	1-	24114366	24114531	164	6.908E-14	6.908E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3p-1(1)2
124	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}F_{3}$	3+	24120725	24120266	-459	1.295E-14	1.295E-14	2s+1(1)1.2p+2(4)5.3d+1(5)6
125	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}D_{2}$	2+	24142448	24141982	-467	9.583E-15	9.583E-15	2s+1(1)1.2p+2(4)5.3d+1(5)4
126	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}F_{2}^{\circ}$	2-	24164804	24165094	290	5.559E-14	5.559E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3p-1(1)4
127	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 s {}^{1}P_{1}$	1+	24179558	24179348	-210	5.853E-14	5.853E-14	2s+1(1)1.2p-1(1)2.2p+3(3)3.3s+1(1)2
128	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 s {}^{3}P_{2}$	2+	24180325	24180133	-192	9.200E-14	9.200E-14	2s+1(1)1.2p-1(1)2.2p+3(3)3.3s+1(1)4
129	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}D_{1}$	1+	24278875	24278397	-478	1.091E-13	1.091E-13	2s+1(1)1.2p+2(0)1.3d-1(3)2
130	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}F_{2}$	2+	24300148	24299642	-506	5.128E-14	5.128E-14	2s+1(1)1.2p+2(0)1.3d-1(3)4
131	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}G_{3}$	3+	24309230	24308888	-342	5.839E-13	5.839E-13	2s+1(1)1.2p+2(4)3.3d-1(3)6
132	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}F_{3}^{\circ}$	3-	24313266	24313602	336	7.613E-14	7.613E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3p-1(1)6
133	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}F_{1}$	1+	24324592	24324195	-397	6.513E-13	6.513E-13	2s+1(1)1.2p+2(4)3.3d-1(3)2
134	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}P_{2}$	2+	24327534	24327238	-296	7.392E-14	7.392E-14	2s+1(1)1.2p+2(4)3.3d-1(3)4
135	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}P_{0}$	0+	24360229	24359906	-323	1.321E-14	1.321E-14	2s+1(1)1.2p+2(4)3.3d-1(3)0
136	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}P_{3}^{\circ}$	3-	24360230	24360243	13	8.943E-14	8.943E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3p+1(3)6
137	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{1}G_{4}$	4+	24366985	24366677	-308	2.316E-12	2.316E-12	2s+1(1)1.2p+2(4)3.3d+1(5)8
138	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}P_{3}$	3+	24379840	24379443	-397	2.081E-13	2.081E-13	2s+1(1)1.2p+2(4)3.3d+1(5)6
139	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}P_{1}^{\circ}$	1-	24386256	24386326	70	4.343E-14	4.343E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3p+1(3)2
140	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}D_{2}^{\circ}$	2-	24394336	24394538	202	5.661E-14	5.661E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3p+1(3)4
141	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}D_{3}$	3+	24416056	24415861	-195	8.853E-15	8.853E-15	2s+1(1)1.2p+2(4)3.3d+1(5)6
142	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}D_{1}$	1+	24434711	24434324	-387	9.120E-15	9.120E-15	2s+1(1)1.2p+2(4)3.3d+1(5)2
143	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}F_{2}$	2+	24444562	24444222	-340	1.619E-13	1.619E-13	2s+1(1)1.2p+2(0)1.3d+1(5)4
144	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}P_{2}^{\circ}$	2-	24445502	24446359	857	7.606E-14	7.606E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3p-1(1)4
145	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}P_{0}^{\circ}$	0-	24489635	24490187	551	3.792E-14	3.792E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3p-1(1)0
146	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}D_{1}^{\circ}$	1-	24515929	24516564	635	3.625E-14	3.625E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3p-1(1)2
147	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}D_{2}$	2+	24528295	24528295	0	5.996E-15	5.996E-15	2s+1(1)1.2p+2(4)3.3d+1(5)4
148	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}F_{4}^{\circ}$	4-	24538583	24538751	168	4.262E-12	4.262E-12	2s+1(1)1.2p-1(1)2.2p+3(3)5.3p+1(3)8
149	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{3}P_{0}^{\circ}$	0-	24545023	24545705	682	3.004E-14	3.004E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3p+1(3)0
150	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{1}D_{2}^{\circ}$	2-	24562245	24562530	285	5.495E-14	5.495E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3p+1(3)4
151	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}D_{3}^{\circ}$	3-	24593856	24594131	275	5.987E-14	5.987E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3p+1(3)6
152	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{1}D_{2}^{\circ}$	2-	24606863	24607631	767	3.471E-14	3.471E-14	2s+1(1)1.2p-1(1)2.2p+3(3)3.3p-1(1)4
153	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{1}P_{1}^{\circ}$	1-	24622010	24622435	425	2.334E-14	2.334E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3p+1(3)2
154	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}P_{1}^{\circ}$	1-	24737223	24738642	1420	9.350E-14	9.350E-14	2s+1(1)1.2p-1(1)2.2p+3(3)3.3p-1(1)2
155	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}D_{2}^{\circ}$	2-	24747317	24747707	390	5.444E-14	5.444E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3p+1(3)4
156	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}S_{1}^{\circ}$	1-	24789575	24790042	467	6.047E-14	6.047E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3p+1(3)2
157	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}D_{0}$	0+	24839947	24839227	-720	3.581E-14	3.581E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d-1(3)0
158	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}D_{3}^{\circ}$	3-	24845306	24846013	708	4.998E-14	4.998E-14	2s+1(1)1.2p-1(1)2.2p+3(3)3.3p+1(3)6
159	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{3}P_{2}^{\circ}$	2-	24845945	24846550	605	8.525E-14	8.525E-14	2s+1(1)1.2p-1(1)2.2p+3(3)3.3p+1(3)4
160	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}D_{1}$	1+	24865894	24865164	-730	4.577E-14	4.577E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d-1(3)2
161	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}F_{2}$	2+	24910092	24909473	-620	4.024E-14	4.024E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d-1(3)4
162	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}F_{4}$	4+	24910538	24909840	-698	4.430E-12	4.430E-12	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d+1(5)8
163	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 p {}^{3}P_{0}^{\circ}$	0-	24919786	24920725	939	1.501E-12	1.501E-12	2s+1(1)1.2p-1(1)2.2p+3(3)3.3p+1(3)0
164	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{5}F_{3}$	3+	24929143	24928562	-580	1.671E-14	1.671E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d-1(3)6
165	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 d {}^{3}P_{2}$	2+	24974082	24973434	-648	6.415E-14	6.415E-14	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d+1(5)4
166	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 p {}^{1}P_{1}^{\circ}$	1-	24975613	24976824	1211	1.530E-13	1.530E-13	2s+1(1)1.2p-1(1)2.2p+3(3)3.3p+1(3)2
167	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}F_{3}$	3+	24981008	24980378	-629	1.460E-12	1.460E-12	2s+1(1)1.2p-1(1)0.2p+3(3)3.3d+1(5)6
168	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 s {}^{3}S_{1}$	1+	24991737	24990877	-860	2.985E-14	2.985E-14	2s+1(1)1.3s+1(1)2
169	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}G_{4}$	4+	25065955	25065520	-435	3.539E-12	3.539E-12	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d-1(3)8
170	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 s {}^{1}S_{0}$	0+	25074897	25074460	-437	7.952E-14	7.952E-14	2s+1(1)1.3s+1(1)0
171	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}G_{5}$	5+	25084575	25084065	-510	5.984E-12	5.984E-12	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d+1(5)10
172	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}S_{1}$	1+	25091782	25091097	-685	7.707E-15	7.707E-15	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d-1(3)2
173	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}P_{1}$	1+	25116378	25115856	-523	5.358E-15	5.358E-15	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d-1(3)2
174	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}P_{2}$	2+	25117330	25116815	-515	7.269E-15	7.269E-15	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d-1(3)4
175	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}D_{3}$	3+	25126659	25126183	-476	1.076E-14	1.076E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d-1(3)6
176	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}F_{4}$	4+	25169919	25169489	-430	3.166E-12	3.166E-12	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d+1(5)8
177	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{1}F_{3}$	3+	25178112	25177723	-389	3.888E-14	3.888E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d+1(5)6
178	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{1}D_{2}$	2+	25217779	25217430	-349	1.462E-14	1.462E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d+1(5)4
179	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{1}P_{1}$	1+	25237223	25236908	-314	1.374E-14	1.374E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3d-1(3)2
180	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{3}D_{1}$	1+	25289570	25289238	-331	1.204E-14	1.204E-14	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d+1(5)2
181	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}F_{2}$	2+	25299701	25299519	-182	3.130E-14	3.130E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3d-1(3)4
182	$2 s {}^{2}S 2 p^{4} (^{1} D) {}^{2}D 3 d {}^{1}S_{0}$	0+	25304627	25304509	-118	4.820E-15	4.820E-15	2s+1(1)1.2p-1(1)2.2p+3(3)5.3d+1(5)0
183	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{1}F_{3}$	3+	25320879	25320621	-258	1.797E-13	1.797E-13	2s+1(1)1.2p-1(1)2.2p+3(3)1.3d+1(5)6
184	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}F_{3}$	3+	25361522	25361601	79	5.420E-13	5.420E-13	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d-1(3)6
185	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}P_{2}$	2+	25361770	25361604	-166	2.257E-14	2.257E-14	2s+1(1)1.2p-1(1)2.2p+3(3)1.3d+1(5)4
186	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}D_{2}$	2+	25421749	25421715	-34	8.859E-15	8.859E-15	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d-1(3)4
187	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}D_{3}$	3+	25422745	25422670	-75	8.206E-13	8.206E-13	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d+1(5)6
188	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}F_{4}$	4+	25425477	25425543	65	1.442E-12	1.442E-12	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d+1(5)8
189	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}P_{1}$	1+	25442114	25442087	-28	7.542E-15	7.542E-15	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d-1(3)2
190	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{3}P_{0}$	0+	25450323	25450523	199	6.246E-15	6.246E-15	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d-1(3)0
191	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{4}P 3 p {}^{5}D_{0}^{\circ}$	0-	25502918	25503446	528	2.076E-12	2.076E-12	2s+1(1)1.3p-1(1)0
192	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{1}D_{2}$	2+	25515508	25515873	365	5.021E-15	5.021E-15	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d+1(5)4
193	$2 s {}^{2}S 2 p^{4} (^{3} P) {}^{2}P 3 d {}^{1}P_{1}$	1+	25521091	25521081	-10	4.531E-15	4.531E-15	2s+1(1)1.2p-1(1)2.2p+3(3)3.3d+1(5)2
194	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 p {}^{3}P_{1}^{\circ}$	1-	25524464	25525228	764	3.352E-14	3.352E-14	2s+1(1)1.3p-1(1)2
195	$2 p^{5} (^{(} 5) {}^{2}P 3 s {}^{3}P_{2}^{\circ}$	2-	25603295	25604088	793	1.042E-12	1.042E-12	2p+3(3)3.3s+1(1)4
196	$2 p^{5} (^{(} 5) {}^{2}P 3 s {}^{1}P_{1}^{\circ}$	1-	25646363	25647503	1140	7.074E-14	7.074E-14	2p+3(3)3.3s+1(1)2
197	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 p {}^{3}P_{2}^{\circ}$	2-	25691236	25691517	280	4.416E-13	4.416E-13	2s+1(1)1.3p+1(3)4
198	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 p {}^{1}P_{1}^{\circ}$	1-	25700199	25700387	189	3.201E-14	3.201E-14	2s+1(1)1.3p+1(3)2
199	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}S_{1}$	1+	26015423	26015552	129	3.997E-14	3.997E-14	2p+3(3)3.3p-1(1)2
200	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}D_{2}$	2+	26034919	26035134	214	4.112E-14	4.112E-14	2p+3(3)3.3p-1(1)4
201	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 d {}^{3}D_{3}$	3+	26235340	26234920	-420	1.138E-13	1.138E-13	2s+1(1)1.3d+1(5)6
202	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 d {}^{3}D_{1}$	1+	26248454	26247964	-490	6.585E-15	6.585E-15	2s+1(1)1.3d-1(3)2
203	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{1}P_{1}$	1+	26258920	26258969	49	3.247E-14	3.247E-14	2p+3(3)3.3p+1(3)2
204	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 d {}^{3}D_{2}$	2+	26265339	26265073	-266	8.657E-15	8.657E-15	2s+1(1)1.3d-1(3)4
205	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}D_{3}$	3+	26265848	26265747	-100	5.467E-14	5.467E-14	2p+3(3)3.3p+1(3)6
206	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}P_{2}$	2+	26297747	26297612	-135	2.772E-14	2.772E-14	2p+3(3)3.3p+1(3)4
207	$2 s {}^{2}S 2 p^{4} (^{1} S) {}^{2}S 3 d {}^{1}D_{2}$	2+	26317458	26317333	-125	5.496E-14	5.496E-14	2p+3(3)3.3p+1(3)4
208	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}P_{0}$	0+	26486871	26488001	1130	3.340E-14	3.340E-14	2p+3(3)3.3p+1(3)0
209	$2 p^{5} (^{(} 5) {}^{2}P 3 s {}^{3}P_{0}^{\circ}$	0-	26510588	26511171	584	9.894E-13	9.894E-13	2p-1(1)1.3s+1(1)0
210	$2 p^{5} (^{(} 5) {}^{2}P 3 s {}^{3}P_{1}^{\circ}$	1-	26533438	26534202	764	8.035E-14	8.035E-14	2p-1(1)1.3s+1(1)2
211	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}P_{0}^{\circ}$	0-	26716298	26717081	783	7.803E-13	7.803E-13	2p+3(3)3.3d-1(3)0
212	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}P_{1}^{\circ}$	1-	26744101	26744956	854	7.735E-13	7.735E-13	2p+3(3)3.3d-1(3)2
213	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}F_{3}^{\circ}$	3-	26769316	26770513	1197	7.744E-13	7.744E-13	2p+3(3)3.3d-1(3)6
214	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}D_{2}^{\circ}$	2-	26791462	26792495	1034	7.673E-13	7.673E-13	2p+3(3)3.3d-1(3)4
215	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}F_{4}^{\circ}$	4-	26802700	26803792	1092	1.437E-12	1.437E-12	2p+3(3)3.3d+1(5)8
216	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{1}D_{2}^{\circ}$	2-	26832698	26833736	1038	1.122E-12	1.122E-12	2p+3(3)3.3d+1(5)4
217	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}D_{3}^{\circ}$	3-	26872028	26873194	1167	9.005E-13	9.005E-13	2p+3(3)3.3d+1(5)6
218	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}D_{1}$	1+	26926428	26926304	-124	3.609E-14	3.609E-14	2p-1(1)1.3p-1(1)2
219	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{1}P_{1}^{\circ}$	1-	27001375	27002884	1509	5.012E-15	5.012E-15	2p+3(3)3.3d+1(5)2
220	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{1}S_{0}$	0+	27126800	27128336	1536	2.454E-14	2.454E-14	2p-1(1)1.3p-1(1)0
221	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{3}P_{1}$	1+	27174101	27173903	-199	3.414E-14	3.414E-14	2p-1(1)1.3p+1(3)2
222	$2 p^{5} (^{(} 5) {}^{2}P 3 p {}^{1}D_{2}$	2+	27184333	27184154	-178	3.657E-14	3.657E-14	2p-1(1)1.3p+1(3)4
223	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}F_{2}^{\circ}$	2-	27671201	27672066	865	1.098E-12	1.098E-12	2p-1(1)1.3d-1(3)4
224	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}P_{2}^{\circ}$	2-	27737195	27737913	718	9.126E-13	9.126E-13	2p-1(1)1.3d+1(5)4
225	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{1}F_{3}^{\circ}$	3-	27748433	27749343	910	8.899E-13	8.899E-13	2p-1(1)1.3d+1(5)6
226	$2 p^{5} (^{(} 5) {}^{2}P 3 d {}^{3}D_{1}^{\circ}$	1-	27799974	27801251	1277	5.219E-15	5.219E-15	2p-1(1)1.3d-1(3)2
227	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 s {}^{3}D_{2}^{\circ}$	2-	28153615	28154924	1309	1.604E-13	1.604E-13	2p+1(3)3.4s+1(1)4
228	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 s {}^{3}D_{1}^{\circ}$	1-	28168810	28170171	1361	9.480E-14	9.480E-14	2p+1(3)3.4s+1(1)2
229	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}D_{1}$	1+	28336449	28336902	453	1.793E-13	1.793E-13	2p+1(3)3.4p-1(1)2
230	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 p {}^{5}P_{2}$	2+	28340331	28340699	368	1.792E-13	1.792E-13	2p+1(3)3.4p-1(1)4
231	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{1}F_{3}$	3+	28438542	28438722	180	2.046E-13	2.046E-13	2p+1(3)3.4p+1(3)6
232	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}P_{1}$	1+	28441026	28441362	336	1.962E-13	1.962E-13	2p+1(3)3.4p+1(3)2
233	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 p {}^{3}P_{2}$	2+	28476873	28477132	259	2.047E-13	2.047E-13	2p+1(3)3.4p+1(3)4
234	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 p {}^{3}P_{0}$	0+	28510339	28510933	593	2.111E-13	2.111E-13	2p+1(3)3.4p+1(3)0
235	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{3}D_{2}^{\circ}$	2-	28629526	28630935	1409	8.362E-14	8.362E-14	2p+1(3)3.4d-1(3)4
236	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}G_{3}^{\circ}$	3-	28638159	28639415	1256	9.288E-14	9.288E-14	2p+1(3)3.4d-1(3)6
237	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}D_{1}^{\circ}$	1-	28643060	28644207	1147	5.376E-14	5.376E-14	2p+1(3)3.4d-1(3)2
238	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}P_{0}^{\circ}$	0-	28644326	28645366	1040	9.697E-14	9.697E-14	2p+1(3)3.4d-1(3)0
239	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{3}F_{4}^{\circ}$	4-	28660718	28661851	1133	9.592E-14	9.592E-14	2p+1(3)3.4d+1(5)8
240	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{1}D_{2}^{\circ}$	2-	28678042	28679238	1197	2.516E-14	2.516E-14	2p+1(3)3.4d+1(5)4
241	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{1}F_{3}^{\circ}$	3-	28706336	28707602	1265	1.272E-14	1.272E-14	2p+1(3)3.4d+1(5)6
242	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{1}P_{1}^{\circ}$	1-	28717020	28718330	1310	1.780E-14	1.780E-14	2p+1(3)3.4d+1(5)2
243	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}G_{3}$	3+	28780086	28780227	141	4.518E-14	4.518E-14	2p+1(3)3.4f-1(5)6
244	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}F_{2}$	2+	28786709	28786770	61	4.524E-14	4.524E-14	2p+1(3)3.4f-1(5)4
245	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{5}F_{4}$	4+	28786803	28786933	130	4.559E-14	4.559E-14	2p+1(3)3.4f-1(5)8
246	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 f {}^{3}D_{1}$	1+	28795346	28795286	-60	4.525E-14	4.525E-14	2p+1(3)3.4f-1(5)2
247	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{3}F_{4}$	4+	28796888	28797126	238	4.642E-14	4.642E-14	2p+1(3)3.4f+1(7)8
248	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}D_{3}$	3+	28797759	28797875	116	4.566E-14	4.566E-14	2p+1(3)3.4f+1(7)6
249	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{1}H_{5}$	5+	28798780	28798893	113	4.597E-14	4.597E-14	2p+1(3)3.4f+1(7)10
250	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 f {}^{1}D_{2}$	2+	28809948	28810014	66	4.614E-14	4.614E-14	2p+1(3)3.4f+1(7)4
251	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 s {}^{5}S_{2}^{\circ}$	2-	28948743	28949863	1120	1.665E-13	1.665E-13	2p-1(1)1.2p+2(4)3.4s+1(1)4
252	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 s {}^{3}S_{1}^{\circ}$	1-	28962444	28963605	1162	9.330E-14	9.330E-14	2p-1(1)1.2p+2(4)3.4s+1(1)2
253	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 s {}^{3}D_{3}^{\circ}$	3-	29077316	29078502	1187	1.656E-13	1.656E-13	2p-1(1)1.2p+2(4)5.4s+1(1)6
254	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 s {}^{1}D_{2}^{\circ}$	2-	29087497	29088746	1248	9.912E-14	9.912E-14	2p-1(1)1.2p+2(4)5.4s+1(1)4
255	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 p {}^{5}P_{1}$	1+	29127260	29127537	276	1.762E-13	1.762E-13	2p-1(1)1.2p+2(4)3.4p-1(1)2
256	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}F_{2}$	2+	29149379	29149613	234	1.785E-13	1.785E-13	2p-1(1)1.2p+2(4)3.4p-1(1)4
257	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 p {}^{5}P_{3}$	3+	29231835	29231824	-10	2.044E-13	2.044E-13	2p-1(1)1.2p+2(4)3.4p+1(3)6
258	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}D_{2}$	2+	29236428	29236784	356	2.007E-13	2.007E-13	2p-1(1)1.2p+2(4)3.4p+1(3)4
259	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}P_{0}$	0+	29236687	29236879	192	1.948E-13	1.948E-13	2p-1(1)1.2p+2(4)3.4p+1(3)0
260	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 s {}^{3}P_{0}^{\circ}$	0-	29246189	29248331	2142	1.447E-13	1.447E-13	2p-1(1)1.2p+2(0)1.4s+1(1)0
261	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 s {}^{3}P_{1}^{\circ}$	1-	29251428	29253504	2076	1.204E-13	1.204E-13	2p-1(1)1.2p+2(0)1.4s+1(1)2
262	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}F_{3}$	3+	29260375	29260486	110	1.763E-13	1.763E-13	2p-1(1)1.2p+2(4)5.4p-1(1)6
263	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 p {}^{3}P_{1}$	1+	29279033	29279325	293	2.033E-13	2.033E-13	2p-1(1)1.2p+2(4)3.4p+1(3)2
264	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}P_{2}$	2+	29293177	29293525	348	1.838E-13	1.838E-13	2p-1(1)1.2p+2(4)5.4p-1(1)4
265	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}D_{3}$	3+	29359017	29359139	121	2.000E-13	2.000E-13	2p-1(1)1.2p+2(4)5.4p+1(3)6
266	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{3}F_{4}$	4+	29361214	29361255	42	2.046E-13	2.046E-13	2p-1(1)1.2p+2(4)5.4p+1(3)8
267	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{1}P_{1}$	1+	29373041	29373924	883	2.004E-13	2.004E-13	2p-1(1)1.2p+2(4)5.4p+1(3)2
268	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 p {}^{1}D_{2}$	2+	29418608	29418956	348	2.106E-13	2.106E-13	2p-1(1)1.2p+2(4)5.4p+1(3)4
269	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{5}D_{1}^{\circ}$	1-	29430093	29431197	1104	6.090E-14	6.090E-14	2p-1(1)1.2p+2(4)3.4d-1(3)2
270	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 p {}^{3}D_{1}$	1+	29430710	29431558	847	1.780E-13	1.780E-13	2p-1(1)1.2p+2(0)1.4p-1(1)2
271	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{5}D_{0}^{\circ}$	0-	29434998	29436071	1072	5.723E-14	5.723E-14	2p-1(1)1.2p+2(4)3.4d-1(3)0
272	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{5}D_{2}^{\circ}$	2-	29436242	29437390	1149	4.302E-14	4.302E-14	2p-1(1)1.2p+2(4)3.4d-1(3)4
273	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{5}D_{3}^{\circ}$	3-	29449321	29450457	1136	3.313E-14	3.313E-14	2p-1(1)1.2p+2(4)3.4d-1(3)6
274	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{5}D_{4}^{\circ}$	4-	29453993	29454976	983	9.547E-14	9.547E-14	2p-1(1)1.2p+2(4)3.4d+1(5)8
275	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{3}D_{3}^{\circ}$	3-	29460370	29461519	1148	4.980E-14	4.980E-14	2p-1(1)1.2p+2(4)3.4d+1(5)6
276	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 p {}^{3}P_{0}$	0+	29482229	29483516	1286	1.863E-13	1.863E-13	2p-1(1)1.2p+2(0)1.4p-1(1)0
277	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{3}D_{1}^{\circ}$	1-	29490006	29491077	1070	2.294E-14	2.294E-14	2p-1(1)1.2p+2(4)3.4d+1(5)2
278	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 d {}^{3}D_{2}^{\circ}$	2-	29505708	29506933	1225	1.538E-14	1.538E-14	2p-1(1)1.2p+2(4)3.4d+1(5)4
279	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 p {}^{3}P_{1}$	1+	29539393	29540355	961	2.040E-13	2.040E-13	2p-1(1)1.2p+2(0)1.4p+1(3)2
280	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 p {}^{3}D_{2}$	2+	29544345	29545162	817	2.026E-13	2.026E-13	2p-1(1)1.2p+2(0)1.4p+1(3)4
281	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}G_{4}^{\circ}$	4-	29559189	29560168	979	9.638E-14	9.638E-14	2p-1(1)1.2p+2(4)5.4d-1(3)8
282	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}D_{3}^{\circ}$	3-	29571520	29572646	1126	2.633E-14	2.633E-14	2p-1(1)1.2p+2(4)5.4d-1(3)6
283	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}F_{4}^{\circ}$	4-	29580866	29581848	982	9.532E-14	9.532E-14	2p-1(1)1.2p+2(4)5.4d+1(5)8
284	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{5}F_{3}$	3+	29581384	29581408	24	4.531E-14	4.531E-14	2p-1(1)1.2p+2(4)3.4f-1(5)6
285	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{5}F_{2}$	2+	29582534	29582488	-46	4.493E-14	4.493E-14	2p-1(1)1.2p+2(4)3.4f-1(5)4
286	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}D_{2}^{\circ}$	2-	29583203	29584426	1223	1.759E-14	1.759E-14	2p-1(1)1.2p+2(4)5.4d-1(3)4
287	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}H_{4}$	4+	29583489	29583560	71	4.579E-14	4.579E-14	2p-1(1)1.2p+2(4)3.4f-1(5)8
288	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}G_{5}^{\circ}$	5-	29584086	29585038	952	9.558E-14	9.558E-14	2p-1(1)1.2p+2(4)5.4d+1(5)10
289	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{5}F_{1}$	1+	29586615	29586524	-91	4.489E-14	4.489E-14	2p-1(1)1.2p+2(4)3.4f-1(5)2
290	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}P_{1}^{\circ}$	1-	29591177	29592433	1256	1.725E-14	1.725E-14	2p-1(1)1.2p+2(4)5.4d-1(3)2
291	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{1}G_{4}$	4+	29591930	29591957	26	4.556E-14	4.556E-14	2p-1(1)1.2p+2(4)3.4f+1(7)8
292	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{5}F_{5}$	5+	29592653	29592677	24	4.574E-14	4.574E-14	2p-1(1)1.2p+2(4)3.4f+1(7)10
293	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{1}S_{0}^{\circ}$	0-	29594969	29596178	1209	3.003E-14	3.003E-14	2p-1(1)1.2p+2(4)5.4d+1(5)0
294	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{3}F_{3}$	3+	29597550	29597606	55	4.586E-14	4.586E-14	2p-1(1)1.2p+2(4)3.4f+1(7)6
295	$2 s^{2} 2 p^{3} (^{4} S) {}^{4}S 4 f {}^{3}F_{2}$	2+	29600693	29600687	-6	4.569E-14	4.569E-14	2p-1(1)1.2p+2(4)3.4f+1(7)4
296	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{3}S_{1}^{\circ}$	1-	29617671	29618902	1230	1.601E-14	1.601E-14	2p-1(1)1.2p+2(4)5.4d+1(5)2
297	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{1}D_{2}^{\circ}$	2-	29629837	29631117	1280	1.557E-14	1.557E-14	2p-1(1)1.2p+2(4)5.4d+1(5)4
298	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 d {}^{1}F_{3}^{\circ}$	3-	29630987	29632140	1152	1.504E-14	1.504E-14	2p-1(1)1.2p+2(4)5.4d+1(5)6
299	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}H_{5}$	5+	29707410	29707484	74	4.578E-14	4.578E-14	2p-1(1)1.2p+2(4)5.4f-1(5)10
300	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}G_{4}$	4+	29710182	29710158	-25	4.539E-14	4.539E-14	2p-1(1)1.2p+2(4)5.4f-1(5)8
301	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}F_{3}$	3+	29711323	29711234	-89	4.505E-14	4.505E-14	2p-1(1)1.2p+2(4)5.4f-1(5)6
302	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}D_{2}$	2+	29713264	29713141	-124	4.483E-14	4.483E-14	2p-1(1)1.2p+2(4)5.4f-1(5)4
303	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}D_{1}$	1+	29715228	29715083	-145	4.476E-14	4.476E-14	2p-1(1)1.2p+2(4)5.4f-1(5)2
304	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}P_{0}$	0+	29716529	29716377	-152	4.480E-14	4.480E-14	2p-1(1)1.2p+2(4)5.4f-1(5)0
305	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}H_{6}$	6+	29718692	29718763	71	4.603E-14	4.603E-14	2p-1(1)1.2p+2(4)5.4f+1(7)12
306	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}G_{5}$	5+	29719620	29719596	-23	4.557E-14	4.557E-14	2p-1(1)1.2p+2(4)5.4f+1(7)10
307	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{3}F_{4}$	4+	29723846	29723835	-11	4.578E-14	4.578E-14	2p-1(1)1.2p+2(4)5.4f+1(7)8
308	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{1}P_{1}$	1+	29725929	29725774	-155	4.489E-14	4.489E-14	2p-1(1)1.2p+2(4)5.4f+1(7)2
309	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{1}F_{3}$	3+	29726441	29726399	-41	4.562E-14	4.562E-14	2p-1(1)1.2p+2(4)5.4f+1(7)6
310	$2 s^{2} 2 p^{3} (^{2} D) {}^{2}D 4 f {}^{1}D_{2}$	2+	29726863	29726771	-92	4.526E-14	4.526E-14	2p-1(1)1.2p+2(4)5.4f+1(7)4
311	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{3}F_{2}^{\circ}$	2-	29731200	29732936	1736	5.399E-14	5.399E-14	2p-1(1)1.2p+2(0)1.4d-1(3)4
312	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{3}P_{2}^{\circ}$	2-	29765678	29767493	1815	2.792E-14	2.792E-14	2p-1(1)1.2p+2(0)1.4d+1(5)4
313	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{3}D_{1}^{\circ}$	1-	29768117	29770185	2068	1.492E-14	1.492E-14	2p-1(1)1.2p+2(0)1.4d-1(3)2
314	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 d {}^{3}F_{3}^{\circ}$	3-	29771761	29773468	1707	2.829E-14	2.829E-14	2p-1(1)1.2p+2(0)1.4d+1(5)6
315	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 f {}^{3}G_{3}$	3+	29878769	29879390	620	4.609E-14	4.609E-14	2p-1(1)1.2p+2(0)1.4f-1(5)6
316	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 f {}^{3}F_{2}$	2+	29882953	29883528	575	4.610E-14	4.610E-14	2p-1(1)1.2p+2(0)1.4f-1(5)4
317	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 f {}^{3}G_{4}$	4+	29891679	29892359	680	4.660E-14	4.660E-14	2p-1(1)1.2p+2(0)1.4f+1(7)8
318	$2 s^{2} 2 p^{3} (^{2} P) {}^{2}P 4 f {}^{3}D_{3}$	3+	29892128	29892669	541	4.609E-14	4.609E-14	2p-1(1)1.2p+2(0)1.4f+1(7)6

Table 2. Table 2: Wavelengths ( λ 𝜆 \lambda , in vacuum Å), transition rates ( A 𝐴 A , in s -1 ), oscillator strengths ( g f 𝑔 𝑓 gf , dimensionless), line strengths ( S 𝑆 S , in a.u.), and branching fractions (BF) for the transitions among the 318 levels listed in Table LABEL:table1 from the present MBPT and MCDF calculations. The two first columns ( i 𝑖 i and j 𝑗 j ) refer to the keys of Table LABEL:table1 . The last column represents the estimated accuracies of the S 𝑆 S values using the terminology of the NIST ASD [ 46 ] . Only transitions with BF ≥ 10 − 5 absent superscript 10 5 \geq 10^{-5} are presented.

$i$	$j$	Type	$λ_{MBPT}$	$A_{MBPT}$	$g f_{MBPT}$	$S_{MBPT}$	${BF}_{MBPT}$	$λ_{MCDF}$	$A_{MCDF}$	$g f_{MCDF}$	$S_{MCDF}$	${BF}_{MCDF}$	Acc.
1	2	E2	4.81296E+02	1.252E+01	4.348E-10	2.887E-04	1.000E+00	4.81163E+02	1.243E+01	4.314E-10	2.862E-04	1.000E+00	B+
1	3	M1	1.15783E+02	1.066E+07	6.430E-05	1.841E+00	8.279E-01	1.15846E+02	1.066E+07	6.435E-05	1.844E+00	8.280E-01	AA
1	3	E2	1.15783E+02	4.675E+03	2.819E-08	2.605E-04	3.631E-04	1.15846E+02	4.610E+03	2.782E-08	2.576E-04	3.581E-04	B+
2	3	M1	1.52459E+02	2.211E+06	2.311E-05	8.713E-01	1.717E-01	1.52582E+02	2.209E+06	2.313E-05	8.728E-01	1.716E-01	AA
1	4	M1	1.02378E+02	7.057E+06	5.545E-05	1.404E+00	9.979E-01	1.02414E+02	7.056E+06	5.548E-05	1.405E+00	9.977E-01	AA
1	4	E2	1.02378E+02	9.136E+03	7.180E-08	4.587E-04	1.292E-03	1.02414E+02	9.036E+03	7.105E-08	4.545E-04	1.278E-03	B+
2	4	E2	1.30040E+02	8.323E+02	1.055E-08	1.382E-04	1.177E-04	1.30106E+02	8.266E+02	1.049E-08	1.376E-04	1.169E-04	B+
3	4	M1	8.84311E+02	5.022E+03	2.944E-06	6.438E-01	7.101E-04	8.83264E+02	5.043E+03	2.949E-06	6.442E-01	7.131E-04	AA
3	5	M1	9.45353E+01	3.516E+07	4.710E-05	1.101E+00	9.992E-01	9.45670E+01	3.517E+07	4.715E-05	1.103E+00	9.992E-01	AA
4	5	E2	1.05851E+02	2.954E+04	4.962E-08	3.505E-04	8.394E-04	1.05906E+02	2.923E+04	4.915E-08	3.477E-04	8.304E-04	B+
1	6	E1	4.20220E+01	1.720E+11	2.277E-01	3.150E-02	8.493E-01	4.20105E+01	1.677E+11	2.219E-01	3.069E-02	8.491E-01	B+
3	6	E1	6.59623E+01	1.905E+10	6.213E-02	1.349E-02	9.407E-02	6.59135E+01	1.861E+10	6.062E-02	1.315E-02	9.422E-02	B+
4	6	E1	7.12791E+01	1.146E+10	4.365E-02	1.024E-02	5.659E-02	7.12289E+01	1.119E+10	4.256E-02	9.981E-03	5.665E-02	B+
1	7	E1	3.76767E+01	3.046E+11	1.945E-01	2.412E-02	6.987E-01	3.76635E+01	2.972E+11	1.896E-01	2.351E-02	6.978E-01	B+
2	7	E1	4.08766E+01	9.258E+10	6.957E-02	9.362E-03	2.124E-01	4.08620E+01	9.073E+10	6.814E-02	9.166E-03	2.130E-01	B+
3	7	E1	5.58512E+01	1.985E+10	2.785E-02	5.120E-03	4.553E-02	5.58074E+01	1.940E+10	2.717E-02	4.993E-03	4.555E-02	B+
4	7	E1	5.96164E+01	1.868E+10	2.986E-02	5.861E-03	4.285E-02	5.95714E+01	1.828E+10	2.918E-02	5.722E-03	4.292E-02	B+
5	7	E1	1.36488E+02	2.250E+08	1.885E-03	8.470E-04	5.161E-04	1.36161E+02	2.178E+08	1.816E-03	8.142E-04	5.114E-04	B
3	8	E1	4.12216E+01	3.267E+11	8.322E-02	1.129E-02	1.000E+00	4.12097E+01	3.183E+11	8.104E-02	1.099E-02	9.998E-01	B+
7	8	M1	1.57370E+02	8.553E+06	3.177E-05	1.236E+00	2.618E-05	1.57545E+02	8.545E+06	3.180E-05	1.239E+00	2.684E-05	AA
1	9	E1	2.83309E+01	3.138E+10	1.133E-02	1.057E-03	5.789E-02	2.83251E+01	3.091E+10	1.115E-02	1.040E-03	5.830E-02	B+
2	9	E1	3.01028E+01	2.491E+09	1.015E-03	1.006E-04	4.595E-03	3.00968E+01	2.605E+09	1.061E-03	1.052E-04	4.913E-03	B
3	9	E1	3.75089E+01	4.121E+10	2.608E-02	3.220E-03	7.602E-02	3.74921E+01	4.009E+10	2.535E-02	3.129E-03	7.561E-02	B+
4	9	E1	3.91703E+01	4.447E+11	3.069E-01	3.957E-02	8.204E-01	3.91541E+01	4.346E+11	2.997E-01	3.863E-02	8.197E-01	B+
5	9	E1	6.21802E+01	2.227E+10	3.872E-02	7.927E-03	4.108E-02	6.21205E+01	2.190E+10	3.801E-02	7.773E-03	4.130E-02	B+
6	9	M1	8.69553E+01	1.268E+07	4.311E-05	9.270E-01	2.339E-05	8.69500E+01	1.268E+07	4.313E-05	9.274E-01	2.391E-05	AA
7	10	E1	3.82035E+01	5.076E+11	1.111E-01	1.397E-02	6.704E-01	3.82074E+01	4.917E+11	1.076E-01	1.354E-02	6.697E-01	B+
9	10	E1	5.74054E+01	2.496E+11	1.233E-01	2.330E-02	3.296E-01	5.74071E+01	2.425E+11	1.198E-01	2.264E-02	3.303E-01	B+

Table 3. Table 3: Energy levels (in cm -1 ) relative to the ground state for the n = 2 𝑛 2 n=2 states. NIST – the experimental values from the NIST ASD [ 46 ] ; MBPT – the present MBPT results; MCDF – the present MCDF results; Gu – the theoretical values from Gu [ 7 ] ; Vilkas – the theoretical values from Vilkas et al. [ 9 ] . Δ E Δ 𝐸 \Delta E – the differences (in cm -1 ) between calculated energies from different calculations and the NIST values.

Key	State	NIST	MBPT		MCDF		Gu		Vilkas
		$E$	$E$	$Δ E$	$E$	$Δ E$	$E$	$Δ E$	$E$	$Δ E$
1	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{2}$	0	0		0		0		0
2	$2 s^{2} 2 p^{4} (^{1} S) {}^{1}S_{0}$	208080	207772	-308	207830	-250	207878	-202	207956	-124
3	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{1}$	863620	863686	66	863215	-405	864158	538	864147	527
4	$2 s^{2} 2 p^{4} (^{1} D) {}^{1}D_{2}$	976560	976768	208	976432	-128	977254	694	977113	553
5	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{0}$	1920420	1921492	1072	1920667	247	1922438	2018	1922041	1621
6	$2 s {}^{2}S 2 p^{5} {}^{3}P_{2}^{\circ}$	2380360	2379704	-656	2380355	-5	2381134	774	2382023	1663
7	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	2654560	2654158	-402	2655091	531	2655814	1254	2656837	2277
8	$2 s {}^{2}S 2 p^{5} {}^{3}P_{0}^{\circ}$	3289690	3289601	-89	3289830	140	3291540	1850	3292303	2613
9	$2 s {}^{2}S 2 p^{5} {}^{1}P_{1}^{\circ}$	3530130	3529720	-410	3530442	312	3531756	1626	3532737	2607
10	$2 p^{6} {}^{1}S_{0}$	5273440	5271717	-1723	5272387	-1053	5274365	925	5279298	5858

Table 4. Table 4: Comparison of wavelengths ( λ 𝜆 \lambda in Å) and transition rates ( A 𝐴 A in s − 1 superscript 𝑠 1 s^{-1} ) for some transitions among the n = 2 states of O-like Mo. NIST – the experimental wavelengths from the NIST ASD [ 46 ] ; MBPT – the present MBPT results; MCDF – the present MCDF results.

$i$	$j$	Lower level	Upper level	$λ$			Percentage difference for $λ$		$A$		Percentage difference for $A$
				NIST	MBPT	MCDF	NIST & MBPT	NIST& MCDF	MBPT	MCDF	MBPT& MCDF
3	9	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{1}$	$2 s {}^{2}S 2 p^{5} {}^{1}P_{1}^{\circ}$	37.483	37.5089	37.4921	0.07	0.02	4.121E+10	4.009E+10	-3
1	7	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{2}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	37.661	37.6767	37.6635	0.04	0.01	3.046E+11	2.972E+11	-2
7	10	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	$2 p^{6} {}^{1}S_{0}$	38.187	38.2035	38.2074	0.04	0.05	5.076E+11	4.917E+11	-3
4	9	$2 s^{2} 2 p^{4} (^{1} D) {}^{1}D_{2}$	$2 s {}^{2}S 2 p^{5} {}^{1}P_{1}^{\circ}$	39.161	39.1703	39.1541	0.02	-0.02	4.447E+11	4.346E+11	-2
2	7	$2 s^{2} 2 p^{4} (^{1} S) {}^{1}S_{0}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	40.866	40.8766	40.8620	0.03	-0.01	9.258E+10	9.073E+10	-2
3	8	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{1}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{0}^{\circ}$	41.221	41.2216	41.2097	0.00	-0.03	3.267E+11	3.183E+11	-3
1	6	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{2}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{2}^{\circ}$	42.014	42.0220	42.0105	0.02	-0.01	1.720E+11	1.677E+11	-3
3	7	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{1}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	55.842	55.8512	55.8074	0.02	-0.06	1.985E+10	1.940E+10	-2
9	10	$2 s {}^{2}S 2 p^{5} {}^{1}P_{1}^{\circ}$	$2 p^{6} {}^{1}S_{0}$	57.362	57.4054	57.4071	0.08	0.08	2.496E+11	2.425E+11	-3
4	7	$2 s^{2} 2 p^{4} (^{1} D) {}^{1}D_{2}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{1}^{\circ}$	59.590	59.6164	59.5714	0.04	-0.03	1.868E+10	1.828E+10	-2
5	9	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{0}$	$2 s {}^{2}S 2 p^{5} {}^{1}P_{1}^{\circ}$	62.135	62.1802	62.1205	0.07	-0.02	2.227E+10	2.190E+10	-2
3	6	$2 s^{2} 2 p^{4} (^{3} P) {}^{3}P_{1}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{2}^{\circ}$	65.933	65.9623	65.9135	0.04	-0.03	1.905E+10	1.861E+10	-2
4	6	$2 s^{2} 2 p^{4} (^{1} D) {}^{1}D_{2}$	$2 s {}^{2}S 2 p^{5} {}^{3}P_{2}^{\circ}$	71.223	71.2791	71.2289	0.08	0.01	1.146E+10	1.119E+10	-2

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Full text

Extended calculations of energy levels, radiative properties, and lifetimes for

oxygen-like Mo XXXV

Kai Wang

Wei Zheng

Xiao Hui Zhao

Zhan Bin Chen

Chong Yang Chen

Jun Yan

Hebei Key Lab of Optic-electronic Information and Materials, The College of Physics Science and Technology, Hebei University, Baoding 071002, China

Shanghai EBIT Lab, Key Laboratory of Nuclear Physics and Ion-beam Application, Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China

School of Science, Hunan University of Technology, Zhuzhou, 412007, China

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Abstract

Employing two state-of-the-art methods, second-order many-body perturbation theory and multiconfiguration Dirac-Fock, highly accurate calculations are performed for the lowest 318 fine-structure levels arising from the $2s^{2}2p^{4}$ , $2s2p^{5}$ , $2p^{6}$ , $2s^{2}2p^{3}3l$ , $2s2p^{4}3l$ , $2p^{5}3l$ , and $2s^{2}2p^{3}4l$ configurations in O-like Mo XXXV. Complete and consistent atomic data, including excitation energies, lifetimes, wavelengths, and E1, E2, M1 line strengths, oscillator strengths, and transition rates among these 318 levels are provided. Comparisons are made between the present two data sets, as well as with other available experimental and theoretical values. The present data are accurate enough for identification and deblending of emission lines involving the $n=3,4$ levels and are also useful for modeling and diagnosing fusion plasmas . These data can be considered as a benchmark for other calculations.

keywords:

atomic data; O-like Mo XXXV; many-body perturbation theory; multiconfiguration Dirac-Fock method

††journal: JQSRT, prepared by using elsarticle.cls

1 Introduction

Walls of fusion reactors often contain alloys of molybdenum, and ions of Mo are present in the plasmas due to sputtering from the walls [1, 2]. Therefore, in order to simulate and diagnose plasmas that contain Mo as a constituent, accurate atomic data for different Mo ions are required. In view of this, soft X-ray emission lines from molybdenum plasmas generated by dual laser pulses were measured for different Mo ions [3]. Feldman et al. [4] identified 13 lines of the $(1s^{2})2s^{2}2p^{4}$ - $2s2p^{5}$ transitions in a laser-produced plasma.

On the theoretical side, excitation energies and radiative transition data for the low-lying states of the $2s^{2}2p^{4}$ , $2s2p^{5}$ , and $2p^{6}$ configurations were provided by different calculations [5, 6, 7, 8, 9]. Atomic parameters of the $n>2$ levels are also needed for applications in plasma physics [10, 11].

The present study is to provide a complete accurate data set of energy levels, radiative transition data, and lifetimes involving high-lying levels with principal quantum numbers $n=3,4$ in O-like Mo XXXV. This study is an extension of our previous work on O-like ions [12, 13]. Excitation energies, wavelengths, line strengths, oscillator strengths, transition rates, and lifetimes are provided here for the lowest 318 levels of the $2s^{2}2p^{4}$ , $2s2p^{5}$ , $2p^{6}$ , $2s^{2}2p^{3}3l$ ( $l=s,p,d$ ), $2s2p^{4}3l$ ( $l=s,p,d$ ), $2p^{5}3l$ ( $l=s,p,d$ ), and $2s^{2}2p^{3}4l$ ( $l=s,p,d,f$ ) configurations using the many-body perturbation theory (MBPT) method [14, 15, 9, 16, 17]. In order to assess the accuracy of our MBPT calculations, the multiconfiguration Dirac-Fock (MCDF) and relativistic configuration interaction (RCI) method [18, 19] is used to calculate the corresponding data. The present study significantly increases the amount of accurate data for the $n=3,4$ levels of O-like Mo . The accuracy of our results is sufficient to directly aid and confirm experimental identifications.

2 Calculations

The MBPT method integrated in the FAC code [20] and the MCDF method implemented in the GRASP2K code [21, 22] are used to perform the calculations. Both of the methods have been successfully used to calculate atomic parameters for L- and M-shells systems with high accuracy [23, 24, 25, 26, 27, 13, 28, 12, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44]. We only give an outline of the MBPT and MCDF calculations, since these two methods are described in our earlier work in detail.

2.1 MBPT

In the MBPT method, the Hilbert space of the system is divided into two subspaces, including a model space $M$ and an orthogonal space $N$ . By means of solving the eigenvalue problem of a non–Hermitian effective Hamiltonian in the space $M$ , we can get the true eigenvalues of the Dirac–Coulomb–Breit Hamiltonian. The configuration interaction effects in the $M$ space is exactly considered, and the interaction of the spaces $M$ and $N$ is accounted for with the many-body perturbation theory up to the second order. In the calculations, we include all states of the $2s^{2}2p^{4}$ , $2s2p^{5}$ , $2p^{6}$ , $2s^{2}2p^{3}3l$ ( $l=s,p,d$ ), $2s2p^{4}3l$ ( $l=s,p,d$ ), $2p^{5}3l$ ( $l=s,p,d$ ), $2s^{2}2p^{3}4l$ ( $l=s,p,d,f$ ), and $2s2p^{4}4s$ configurations in the model space $M$ , Through the single and double (SD) virtual excitations of the states spanning the $M$ space, all interacting virtual states necessary to properly describe inter-electron correlations are contained in the space $N$ . The maximum $n$ values for the single/double excitations are 200/65, respectively, while the maximum $l$ value is 20. The leading quantum electrodynamic (QED) effects are also considered in our work.

2.2 MCDF

The MCDF method has been described by Froese Fischer et al. [19]. Based on the active space (AS) approach [45] for the generation of the configuration state function (CSF) expansions, separate MCDF calculations are done for the even and odd parity states. We start the calculation without any excitation from the reference configurations which is usually referred to as the Dirac-Fock (DF) calculation. The reference configurations are the same as those included in the $M$ space of the MBPT calculations described above. Subsequently, the CSFs expansions are obtained through the SD excitations from the shells of the reference configurations up to a $n_{max}l_{max}$ orbital, with $n_{max}\leq 8$ and $l_{max}\leq 5$ . To reduce the number of CSFs, the $1s^{2}$ core is closed during the relativistic self-consistent field (RSCF) calculations, but is opened during the RCI calculations, where the Breit interaction and QED effects , i.e., vacuum polarization and self- energy, are included in the Hamiltonian. The number of CSFs in the final even and odd state expansions are approximately 5 060 000 and 3 930 000, respectively, distributed over the different $J$ symmetries.

To provide the $LSJ$ labeling system used in databases such as the Atomic Spectra Database (ASD) of the National Institute of Standards and Technology (NIST) [46], the wave functions in both the MCDF and MBPT calculations are transformed from a $jj$ -coupled CSF basis into a $LSJ$ -coupled CSF basis using the methods developed by Gaigalas [47, 48].

3 Results and Discussions

The computed excitation energies for the lowest 318 levels of the $2s^{2}2p^{4}$ , $2s2p^{5}$ , $2p^{6}$ , $2s^{2}2p^{3}3l$ ( $l=s,p,d$ ), $2s2p^{4}3l$ ( $l=s,p,d$ ), $2p^{5}3l$ ( $l=s,p,d$ ), and $2s^{2}2p^{3}4l$ ( $l=s,p,d,f$ ) configurations from our MBPT and MCDF calculations are listed in Table LABEL:table1, along with the radiative lifetimes estimated from E1, E2, and M1 transition rates, and the $LSJ$ -coupled and $jj$ -coupled labels obtained from our calculations. Table LABEL:table2 lists wavelengths $\lambda_{ij}$ , and E1, E2, M1 line strengths $S_{ji}$ , oscillator strengths $g_{i}f_{ji}$ , and radiative rates $A_{ji}$ among the 318 energy levels along with branching fractions ( ${\rm BF}_{ji}=\frac{A_{ji}}{\sum\limits_{k=1}^{j-1}A_{jk}}$ ), obtained from both the MBPT and MCDF methods. All the E1 and E2 values are computed in the Babushkin gauge (equivalent to the non-relativistic length form), which is considered to be more accurate than the Coulomb gauge (equivalent to the non-relativistic velocity form).

3.1 Excitation energies

Since excitation energies for O-like Mo are only available for the $n=2$ levels in the previous experimental and theoretical studies, the MBPT and MCDF excitation energies are compared with the experimental values from the NIST ASD, and the other theoretical results calculated by Gu [7] and Vilkas et al. [9] in Table LABEL:table3. The average difference with the standard deviation from the NIST values are $-249\pm 748$ cm*-1* for MBPT, $-68\pm 471$ cm*-1* for MCDF, $1053\pm 707$ cm*-1* for Gu, and $1955\pm 1758$ cm*-1* for Vilkas et al., respectively. Comparing with the previous calculations, there is generally a better agreement between the NIST values and our MBPT (MCDF) results due to the larger extent of the electron correlation effects included in our work.

For the remaining levels belonging to the $n=3$ and $n=4$ configurations, the relative difference between our two calculations for each level is shown in Table LABEL:table1. The average absolute difference with standard deviation of the present MBPT and MCDF energy values are $296\pm 646$ cm*-1*, corresponding to the average relative difference with the standard deviation of $0.001~{}\%\pm 0.002~{}\%$ , which are satisfactory.

3.2 Wavelengths, transition rates, and lifetimes

Feldman et al. [4] identified 13 lines of the $2s^{2}2p^{4}$ - $2s2p^{5}$ transitions in a laser-produced plasma, and these lines have been compiled in the NIST ASD. In Table LABEL:table4, the experimental wavelengths for these 13 lines are compared with the present MBPT and MCDF results. Transition rates from our MBPT and MCDF calculations are also compared with each other in the table. As shown in Table LABEL:table4, the difference between the NIST and MBPT(MCDF) wavelength for each transition is within 0.1 %, which is quite satisfactory. Our MBPT and MCDF transition rates show good agreement with each other, the differences being within 5 %.

In the spirit of the uncertainty estimation method suggested by Kramida [49, 50, 51], the difference $\delta S$ of line strengths $S$ from the MBPT and MCDF calculations for each E1 transition is defined as $\delta S$ = $\left|S_{\rm MCDF}-S_{\rm MBPT}\right|$ /max( $S_{\rm MCDF}$ , $S_{\rm MBPT}$ ). The averaged uncertainties $\delta S_{av}$ for line strengths $S$ from the present MBPT and MCDF calculations for E1 transitions in various ranges of $S$ are assessed to 1.7 % for $S\geq 10^{-1}$ ; 4.1 % for $10^{-1}>S\geq 10^{-2}$ ; 6.1 % for $10^{-2}>S\geq 10^{-3}$ ; 8.7 % for $10^{-3}>S\geq 10^{-4}$ ; 18 % for $10^{-4}>S\geq 10^{-5}$ , and 35 % for $10^{-5}>S\geq 10^{-6}$ . Then, the larger of $\delta S_{ij}$ and $\delta S_{av}$ is accepted as the uncertainty of each particular line strength. About 1.4 % have uncertainties of $\leq$ 2 % (the category A+), 1.0 % have uncertainties of $\leq$ 3 % (the category A), 20.0 % have uncertainties of $\leq$ 7 % (the category B+), 23.3 % have uncertainties of $\leq$ 10 % (the category B), 8.9 % have uncertainties of $\leq$ 18 % (the category C+), 19.6 % have uncertainties of $\leq$ 25 % (the category C), and 13.5 % have uncertainties of $\leq$ 40 % (the category D+), while 12.3 % have uncertainties of $>$ 40 % (categories D and E).

Again, using the method suggested in [50, 51], the uncertainties of the $S$ values for M1 and E2 transitions are estimated. The estimated uncertainties for all E1, M1, and E2 transitions with BF $\geq 10^{-5}$ are listed in Table LABEL:table2.

Our MBPT and MCDF lifetimes for the lowest 318 levels of the $n\leq 4$ configurations in O-like Mo XXXV, which are calculated by considering all possible E1, M1, and E2 transitions, are listed in Table LABEL:table1. For the lowest 10 levels of the $n=2$ complex, the MCDF lifetimes agree very well with the MBPT results, and the differences are within 3 %. For the remaining 308 levels belonging to the $n=3$ and $n=4$ configurations, the average difference with the standard deviation is $0.5~{}\%\pm 4.2~{}\%$ .

4 Conclusions

Employing two state-of-the-art methods (MBPT and MCDF), excitation energies and lifetimes of the lowest 318 levels for the $n\leq 4$ configurations have been calculated for O-like Mo XXXV. Wavelengths, E1, M1, and E2 transition rates, line strengths, and oscillator strengths for the transitions among these 318 levels are also reported.

The accuracy of energy levels and transition probabilities is estimated by comparing the MBPT and MCDF results with available experimental and theoretical data. The average difference with the standard deviation with the NIST values for the $n=2$ levels are $-249\pm 748$ cm*-1* for MBPT and $-68\pm 471$ cm*-1* for MCDF, which indicates the high accuracy of the present two calculations. For the $n=3,4$ levels, the average absolute difference of the present MBPT and MCDF energy values is $296\pm 646$ cm*-1*, corresponding to the average relative difference of $0.001~{}\%\pm 0.002~{}\%$ , where the standard deviations are indicated after the values. The uncertainty of the line strength is assessed for each transition, and is available in Table LABEL:table2. The present calculations provide a consistent and accurate data set for line identification and modeling purposes, which can also be considered as a benchmark for other calculations.

5 Acknowledges

We acknowledge the support from the National Key Research and Development Program of China under Grant No. 2017YFA0403200, the Science Challenge Project of China Academy of Engineering Physics (CAEP) under Grant No. TZ2016005, the National Natural Science Foundation of China (Grant No. 11703004, No. 11674066, No. 11504421, and No. 11474034), the Natural Science Foundation of Hebei Province, China (A2019201300 and A2017201165), and the Natural Science Foundation of Educational Department of Hebei Province, China (BJ2018058). Kai Wang expresses his gratitude to the support from the visiting researcher program of Fudan University.

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