Analysis of magnesiumlike spectra from Cu xviii to Mo xxxi

J. Sugar; V. Kaufman; P. Indelicato; W. L. Rowan

doi:10.1364/JOSAB.6.001437

Journal of the Optical Society of America B
Vol. 6,
Issue 8,
pp. 1437-1443
(1989)
•https://doi.org/10.1364/JOSAB.6.001437

Analysis of magnesiumlike spectra from Cu xviii to Mo xxxi

J. Sugar, V. Kaufman, P. Indelicato, and W. L. Rowan

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J. Sugar, V. Kaufman, P. Indelicato, and W. L. Rowan, "Analysis of magnesiumlike spectra from Cu xviii to Mo xxxi," J. Opt. Soc. Am. B 6, 1437-1443 (1989)

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Abstract

The magnesiumlike spectra of Cu to Mo have been observed with laser- and tokamak-generated plasmas in the range of 100–300 Å. We give wavelengths accurate to ±0.005 Å and classifications of transitions among the 3s², 3p², 3d², 3s3p, 3s3d, and 3p3d configurations. Comparisons with Dirac–Fock calculations of the wavelengths are presented.

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			Cu xviii		Zn xix		Ga xx		Ge xxi		As xxii

Transition			Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity
3s²	¹S₀–3s3p	¹P₁	234.199	500	220.570	2000	208.072	300	196.573	1000	185.929	1000
	¹S₀–3s3p	³P₁	345.542^b		326.411^b		(309.101)^c		(293.362)^c		278.994	40
3s3p	³P₁–3p²	³P₂	234.610	10	218.817	30	204.325	3			178.720	3
	³P₀–	³P₁	246.991	10	231.888	50	218.066	4	205.382	30	193.660	5
	³P₂–	³P₂	249.467	100	234.365	500	220.578	1	207.910	100	196.232	20
	³P₁–	³P₁	252.981	10	238.022	20	224.279	1	211.695	10
	³P₁–	³P₀	266.258	20	252.588	20	240.241	2	229.086	2
	³P₂–	³P₁	270.316	10	256.546	5			232.649	1
	³P₁–	¹D₂	256.202	3	240.891	10	226.851	1	213.989	2
	³P₂–	¹D²			259.872	3
	¹P₁–	¹S₀	265.145	10	248.797	2					207.187	10
	¹P₁–	³P₂			322.582	1
3s3p	³P₀–3s3d	³D₁	185.594	50	174.982	200	165.342	400 bl^d	156.395	50	148.180	60
	³P₁–	³D₂	188.215	200	177.645	500	167.959	300	159.069	200	150.855	300
	³P₁–	³D₁	188.953	20	178.460	100					151.854	4
	³P₂–	³D₃	196.379	200	186.343	1000	177.218	100	168.897	1000	161.262	600
	³P₂–	³D₂	197.647	10	187.765	100	178.783	5	170.618	10	163.137	50
	¹P₁–	¹D₂	204.072	30	193.380	1000	183.651	600	174.754	500	166.571	1000
3p²	¹D₂–3p3d	¹F₃	165.349	10	156.239	100	147.923	100
	³P₂–	¹F₃	175.785	5	167.194	2			152.240	20	145.685	5
	¹D₂–	³D₃	190.174	20	179.387	50	169.502	80	160.396	20	152.013	50
	³P₁–	³P₂	190.689	2	179.612	5			160.021	4
	³P₁–	³P₁	190.965	10	179.953	30	169.890	10	160.658	20
	³P₁–	³P₀	191.083	3	180.077	5			160.868	2
	¹D₂–	³P₂			178.002	2			158.738	10	150.157	5
	³P₀–	³D₁	192.954	50	181.933	100	171.847	100	162.560	50	153.996	50
	³P₁–	³D₂	198.718	100	187.818	300	177.780	40	168.494	70	159.841	40
	³P₁–	³D₁			190.320	4					164.963	1
	¹S₀–	¹P₁	202.086	30	191.782	50	182.370	3	173.875	5	166.067	10
	³P₂–	³P₂	202.635	50	192.353	100	182.991	20
	³P₂–	³P₁	202.962	5	192.732	2	183.463	1	175.042	1	167.294	3
	³P₂–	³D₃	204.110	200	193.958	500	184.729	100	176.304	100	168.572	50
	¹D₂–	¹D₂	212.939	10	201.127	20			180.466	5	171.586	10
	³P₂–	³D₂			201.814	5
	³P₁–	¹D₂			203.166	2			182.130	5	173.098	2
	³P₂–	¹D₂			219.639	2	209.715	10	200..838	10
3s3d	³D₁–3p3d	³P₁	256.612	2	240.678	3
	³D₂–	³P₂	257.464	2	241.577	2
	³D₂–	³D₃	259.857	2							204.145	1
	¹D₂–	¹P₁	261.820	3	246.145	2	231.769	1	218.593	20	206.401	20
	³D₃–	³D₃	262.087	5	246.554	5
	¹D₂–	¹F₃	272.120	30	255.754	100	240.810	200 bl	227.107	3	214.488	5
	³D₃–	³D₂	274.779	1	259.342	3			231.880	2
	³D₂–	³D₁	275.813	3
	³D₃–	³F₄	300.417	10	280.847	20	263.00^e		246.659	10	231.626	3
	³D₁–	¹D₂	302.406	1
	³D₂–	³F₃	317.563	5	298.954	1	282.11^e		266.714	1
	³D₁–	³F₂	334.002	1	316.270	2	300.25^e		285.67^e
3p3d	³F₂–3d²	³F₂			175.950	10
	³F₃–	³F₃	191.723	30	181.207	50	171.586	10	162.728	3	154.552	10
	³F₄–	³F₄	198.224	10	188.237^f	10	179.170	20	170.870	20 bl
	³P₂–	³F₃	223.170	20	211.687	5			192.009	2
	³D₁–	³F₂	212.551	2	200.282	10			178.476	3
	³D₃–	³F₄	219.410^f	10	207.592^f	20	196.876	10	187.092	2	178.120	30
	³D₂–	³F₃	213.087	5	201.327	5					172.428	1
	¹F₃–	¹G₄	240.028^f	10	226.738^f	100	214.746	10	203.850	20	193.870	10

			Se xxiii		Br xxiv		Kr xxv		Rb xxvi		Sr xxvii

Transition			Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity
3s²	¹S₀–3s3p	¹P₁	176.037	500	166.805	400	158.183	600	(150.083)^b		(142.465)^b
	¹S₀	³P₁	265.822	60	253.710	5	242.550	20	(232.220)^b		(222.642)^b
3s3p	³P₁–3p²	³P₂	167.321	1
	³P₂–	³P₂	185.423	2	175.403	20	166.085	2	(157.391)^b		(149.275)^b
	³P₁–	¹D₂	191.030	4
3s3p	³P₀–3s3d	³D₁	140.570	2			126.886	4
	³P₂–	³D₃	154.219	30	147.710	10	141.673	15	(136.028)^b		(130.758)^b
	¹P₁–	¹D₂	159.031	40	152.025	10	145.500	10	(139.423)^b		(133.717)^b

			Y xxviii		Zr xxix		Nb xxx		Mo xxxi

Transition			Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity	Wavelength	Intensity
3s²	¹S₀–3s3p	¹P₁	135.285	200	128.496	400	122.081	80	115.999	100
	¹S₀	³P₁	213.744	20	205.440	5	197.705	2	190.466	4
3s3p	³P₁–3p²	³P₂							100.629	3
	³P₂–	³P₂	141.689	2	(134.597)^b		(127.976)^b		(121.819)^b
3s3p	³P₂–3s3d	³D₃	125.815	10	(121.167)^b		116.784	1	112.639	1
	¹P₁–	¹D₂	128.377 bl	30	123.285	10	118.479	2	113.895	1

	Cu xviii		Mo xxxi

Transition	$3 s^{2} {{}^{1}S}_{0} - 3 s 3 p {{}^{3}P}_{1}^{\circ}$	$3 s^{2} {{}^{1}S}_{0} - 3 s 3 p {{}^{1}P}_{1}^{\circ}$	$3 s^{2} {{}^{1}S}_{0} - 3 s 3 p {{}^{3}P}_{1}^{\circ}$	$3 s^{2} {{}^{1}S}_{0} - 3 s 3 p {{}^{1}P}_{1}^{\circ}$
Coulomb energy	288871	431807	525651	870122
Magnetic energy	915	409	4513	1548
Retardation energy	−230	−224	−933	−929
Higher-order retardation	−3	−22	−20	−202
Self-energy	−1978	−1932	−7301	−6861
Self-energy screening	883	822	2287	2006
Vacuum polarization of order
α(Zα)	92	96	527	549
α(Zα)³	−1	−1	−8	−8
α²(Zα)	1	1	4	4
Total theoretical energy	288550	430956	524721	866229
Experimental energy	289400	426987	525028	862076
Experimental uncertainty	4	9	14	37

	$3 s^{2} {{}^{1}S}_{0} - 3 s 3 p {{}^{1}P}_{1}^{\circ}$		$3 s^{2} {{}^{1}S}_{0} - 3 s 3 p {{}^{3}P}_{1}^{\circ}$		$3 s 3 p {{}^{3}P}_{1}^{\circ} - 3 p^{2} {{}^{3}P}_{2}$		$3 s 3 p {{}^{3}P}_{2}^{\circ} - 3 p^{2} {{}^{3}P}_{2}$		$3 s 3 p {{}^{3}P}_{2}^{\circ} - 3 s 3 d {{}^{3}D}_{3}$		$3 s 3 p {{}^{1}P}_{1}^{\circ} - 3 s 3 d {{}^{1}D}_{2}$
Z	Observed	Fitted	Observed	Fitted	Observed	Fitted	Observed	Fitted	Observed	Fitted	Observed	Fitted
29	234.199	234.199	345.542	345.541	234.610	234.627	249.467	249.468	196.379	196.380	204.072	204.068
30	220.570	220.568	326.411	326.412	218.817	218.812	234.365	234.370	186.343	186.339	193.380	193.380
31	208.072	208.077		309.101	204.325	204.326	220.578	220.572	177.218	177.221	183.651	183.653
32	196.573	196.572		293.362		191.003	207.910	207.906	168.897	168.897	174.754	174.755
33	185.929	185.926	278.994	278.992	178.720	178.706	196.232	196.229	161.262	161.260	166.571	166.576
34	176.037	176.035	265.822	265.824	167.321	167.323	185.423	185.428	154.219	154.223	159.031	159.024
35	166.805	166.811	253.710	253.715		156.761	175.403	175.406	147.710	147.712	152.025	152.023
36	158.183	158.181	242.550	242.548		146.942	166.085	166.083	141.673	141.664	145.500	145.508
37		150.083		232.220		137.800		157.391		136.028		139.423
38		142.465		222.642		129.280		149.275		130.758		133.717
39	135.285	135.283	213.744	213.740		121.337	141.689	141.689	125.815	125.816	128.377	128.349
40	128.496	128.499	205.447	205.447		113.931		134.597		121.167	123.285	123.280
41	122.081	122.080	197.705	197.706		107.035		127.976	116.784	116.783	118.479	118.474
42	115.999	115.999	190.466	190.466	100.629	100.630		121.819	112.639	112.639	113.895	113.901
47		89.909		160.332		76.724		100.187		94.820		93.511

			Cu xviii	Zn xix	Ga xx	Ge xxi	As xxii	Se xxiii	Br xxiv	Kr xxv
3s²	¹S	0	0	0	0	0	0	0	0	0
3s3p	³P	0	279816	295248	310815	326356	342105
		1	289401	306361	323519	340876	358433	376189	394143	412290
		2	314753	336699	359566	383431	408371	434542	461951	490722
	¹P	1	426987	453375	480591	508719	537848	568069	599480	632187
3p²	³P	0	664977	702263	739768	777393	815303
		1	684689	726491	769392	813254	858474
		2	715608	763375	812933	864414	917996	973835	1032057	1092830
	¹D	2	679710	721495	764337	808190	853376	899667
	¹S	0	804139	855309	908230	963294	1020504
3s3d	³D	1	818630	866723	915622	965763	1016960
		2	820704	869280	918903	969534	1021337
		3	823970	873355	923833	975507	1028488	1082970	1138944	1196618
	¹D	2	917020	970492	1025102	1080949	1138175	1196905	1257275	1319434
3p3d	³F	2	1118029	1182908	1248680^a	1315820^a
		3	1135602	1203780	1273370^a	1344468	1417017
		4	1156841	1229421	1304060^a	1380925	1460218
	¹D	2	1149319	1218687	1289771	1362317	1436178
	³D	1	1183252	1251919	1321681	1392550	1464670
		2	1187907	1258933	1331885	1406756	1484096
		3	1205542	1278949	1354283	1431632	1511214
	³P	0	1208022	1281809		1434882
		1	1208326	1282212	1358005	1435700	1515746
		2	1209104	1283253	1359394	1438166	1519346
	¹F	3	1284495	1361498	1440365	1521271	1604405
	¹P	1	1298970	1376746	1456566	1538420	1622669
3d²	³F	2	1653727	1751233		1952850
		3	1657191	1755640	1856190	1958990	2064048
		4	1661315	1760664	1862210	1966130	2072633
	¹G	4	1701113	1802536	1906040	2011830	2120234

		Rb xxvi	Sr xxvii	Y xxviii	Zr xxix	Nb xxx	Mo xxxi
3s^{2 1}S	0	0	0	0	0	0	0
3s3p³P	0
	1	(430626)^a	(449152)	467858	486744	505802	525028
	2	(520955)	(552762)	586238	621510	658679	697877
¹P	1	(666298)	(701927)	739191	778216	819135	862076
3p^{2 3}P	0
	1
	2	(1156315)	(1222666)	1292009	(1364468)	(1440076)	(1518767)
3s3d³D	1
	2
	3	(1256098)	(1317533)	1381049	(1446817)	1514968	1585669
¹D	2	(1383540)	(1449774)	1518317	1589378	1663202	1740031

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Journal of the Optical Society of America B