Identification of the 3d<sup>9</sup>–3d<sup>8</sup>4f transition in Zr XIV

Keishi Ishii; Kozo Ando

doi:10.1364/JOSAB.3.001193

Journal of the Optical Society of America B
Vol. 3,
Issue 9,
pp. 1193-1198
(1986)
•https://doi.org/10.1364/JOSAB.3.001193

Identification of the 3d⁹–3d⁸4f transition in Zr XIV

Keishi Ishii and Kozo Ando

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Keishi Ishii and Kozo Ando, "Identification of the 3d⁹–3d⁸4f transition in Zr XIV," J. Opt. Soc. Am. B 3, 1193-1198 (1986)

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Abstract

The XUV spectrum of Co i-like Zr was observed with a low-inductance vacuum spark by using a 10.7-m grazing-incidence spectrograph. Thirty-eight lines of the 3d⁹–3d⁸4f transition and thirty levels of the 3d⁸4f configuration in Zr xiv were identified for the first time, to our knowledge. The identifications were made with the aid of theoretical calculations based on the Slater–Condon theory of atomic structure. Observed and theoretical spectra and energy levels are displayed in the figures. In addition, energy levels and wavelengths with calculated weighted oscillator strengths are presented in the tables.

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Parameter	Hartree–XR	Fitted	Fitted/HXR
E_av(3p⁵3d¹⁰)	1262.964	1244.776	0.9856
ζ(3p)	77.700	75.409	0.9705
E_av(3d⁸4f)	2431.210	2443.317	1.0050
F²(3d, 3d)	235.935	215.701	0.9142
F⁴(3d, 3d)	150.521	141.547	0.9404
α(3d⁸)	–	0.135	–
β(3d⁸)	–	−0.267	–
ζ(3d)	9.219	7.601	0.825
ζ(4f)	0.181	0.151	0.834
F²(3d, 4f)	53.666	51.429	0.9583
F⁴(3d, 4f)	25.452	21.728	0.8537
G¹(3d, 4f)	38.637	30.887	0.7994
G³(3d, 4f)	22.654	18.169	0.8020
G⁵(3d, 4f)	15.652	8.792	0.5617
R¹(dd, pf)	−91.665	−87.082	0.9500
R³(dd, pf)	−51.874	−41.499	0.8000
σ = 0.8 (30 levels)

J	Obs.	Calc.	O–C	Designation	Percentage Composition^b
3/2	1201.99^c	1201.98	0.01	²P	100%
1/2	1314.66^c	1314.65	0.01	²P	100%
5/2		(2396.48)		(³F₄)[2]	74% + 23%(³F₄)[4]
7/2		(2397.31)		(³F₄)[3]	84% + 11%(³F₄)[4]
3/2		(2397.53)		(³F₄)[1]	60% + 37%(³F₄)[2]
1/2		(2400.69)		(³F₄)[1]	90% + 5%(¹G₄)[1]
3/2	2406.2	2406.74	−0.5	(³F₄)[2]	33% + 31%(³F₄)[4] + 17%(³F₃)[1]
7/2	2406.2	2407.04	−0.8	(³F₄)[4]	57% + 17%(³F₃)[3] + 8%(³F₂)[3]
5/2	2407.2	2407.22	−0.8	(³F₄)[3]	37% + 28%(³F₃)[3] + 14%(³F₄)[2]
1/2		(2413.38)		(³F₃)[1]	94% + 3%(³F₂)[2]
1/2	2416.8	2416.38	0.4	(³F₃)[0]	75% + 20%(³F₂)[2]
5/2	2416.8	2416.43	0.4	(³F₃)[3]	27% + 32%(³F₂)[2] + 15%(³F₃)[2]
7/2		(2416.88)		(³F₃)[4]	53% + 26%(³F₃)[3] + 9%(³F₄)[4]
3/2		(2417.22)		(³F₃)[2]	54% + 18%(³P₂)[2] + 10%(³F₃)[1]
3/2		(2420.99)		(³F₂)[2]	41% + 42%(³F₂)[1] + 6%(¹D₂)[3]
7/2	2421.5	2421.12	0.4	(³F₃)[3]	48% + 13%(³F₃)[4] + 11%(³F₂)[4]
5/2		(2422.12)		(³F₂)[3]	34% + 27%(³P₃)[3] + 21%(¹D₂)[3]
3/2	2422.4	2422.44	0.0	(³F₃)[1]	48% + 12%(³F₃)[3] + 7%(¹G₄)[1]
7/2		(2422.58)		(³F₂)[4]	57% + 21%(¹D₂)[2] + 7%(³F₂)[3]
1/2		(2426.27)		(³F₂)[1]	56% + 15%(³F₃)[3] + 13%(¹D₂)[1]
5/2	2426.5	2426.66	−0.2	(³F₃)[2]	45% + 16%(³F₄)[4] + 12%(³F₂)[3]
3/2	2429.2	2429.56	−0.4	(³F₂)[1]	26% + 26%(¹D₂)[2] + 10%(³F₃)[1]
7/2	2434.1	2433.86	0.2	(³F₂)[3]	34% + 20%(³F₃)[4] + 19%(³P₂)[4]
5/2	2436.9	2436.34	0.6	(³F₃)[2]	33% + 17%(³F₃)[3] + 14%(¹D₂)[3]
7/2		(2441.04)		(³P₂)[3]	27% + 32%(³F₂)[3] + 13%(³P₂)[4]
3/2	2443.9	2443.42	0.5	(³P₂)[2]	43% + 25%(³P₁)[2] + 9%(³F₃)[2]
1/2		(2448.13)		(³P₂)[1]	51% + 36%(¹D₂)[1] + 8%(³F₂)[1]
3/2		(2449.37)		(³P₂)[1]	46% + 39%(¹D₂)[1] + 8%(³F₂)[1]
5/2	2443.8	2443.26	0.5	(³P₂)[3]	31% + 27%(³P₂)[2] + 12%(¹D₂)[2]
5/2	2447.1	2446.53	0.6	(³P₂)[2]	20% + 18%(³P₂)[3] + 18%(³F₂)[3]
7/2	2452.4	2451.43	1.0	(¹D₂)[4]	24% + 37%(³P₂)[3] + 14%(³F₂)[4]
7/2	2457.1	2456.29	0.8	(³P₀)[3]	25% + 34%(¹P₂)[3] + 19%(¹D₂)[4]
5/2	2460.0	2459.08	0.9	(³P₁)[2]	47% + 18%(³P₀)[3] + 15%(¹D₂)[2]
3/2		(2459.79)		(³P₁)[2]	60% + 14%(¹D₂) [2] + 12%(³F₂)[2]
7/2	2462.6	2461.47	1.1	(³P₁)[4]	47% + 27%(³P₀)[3] + 10%(³P₂)[3]
5/2		(2462.22)		(³P₀)[3]	51% + 26%(³P₁)[3] + 8%(³P₁)[2]
7/2		(2462.85)		(³P₂)[4]	33% + 17%(¹D₂)[4] + 14%(³P₁)[4]
5/2	2466.2	2465.61	0.6	(³P₁)[3]	51% + 17%(¹G₄)[2] + 8%(³P₁)[2]
7/2		(2465.63)		(³P₁)[3]	80% + 7%(³P₁)[4]
5/2	2469.7	2468.72	1.0	(¹D₂)[2]	48% + 36%(³P₂)[2]
3/2		(2468.78)		(¹D₂)[2]	29% + 31%(¹G₄)[2] + 25%(³P₂)[2]
1/2		(2468.98)		(¹D₂)[1]	44% + 47%(³P₂)[1] + 6%(¹G₄)[1]
7/2	2470.8	2470.66	0.1	(¹D₂)[3]	25% + 40%(¹G₄)[3] + 13%(³P₀)[3]
3/2		(2471.70)		(¹D₂)[1]	41% + 43%(³P₄)[1] + 6%(³F₂)[1]
5/2		(2472.90)		(¹G₄)[3]	61% + 17%(¹D₂)[3] + 10% (³P₂)[3]
7/2	2479.9	2480.05	−0.2	(¹G₄)[4]	89% + 3%(¹D₂) [4] + 3%(³P₂) [4]
3/2	2485.1	2484.99	0.1	(¹G₄)[1]	81% + 6%(³F₄)[2]
5/2	2488.0	2487.95	0.0	(¹G₄)[2]	56% + 10%(³P₁)[3]
7/2	2488.0	2488.20	−0.2	(¹G₄)[3]	38% + 16%(³P₂)[4] + 15%(³P₁)[4]
1/2	2491.9	2491.55	0.3	(¹G₄)[1]	74% + 9%(³F₂)[1] + 7%(³F₄)[1]
3/2	2498.2	2497.95	0.2	(¹G₄)[2]	38% + 17%(¹D₂)[2] + 11%(³F₂)[2]
5/2	2498.2	2497.95	0.2	(¹D₂)[3]	26% + 19%(¹G₄)[3] + 13%(³P₁)[2]
7/2	2559.1	2560.12	−1.0	(¹S₀)[3]	96% + 3%(³P₀)[3]
5/2	2561.1	2561.67	−0.6	(¹S₀)[3]	93% + 5%(³P₀)[3]
σ = 0.8 (30 levels)

J	Calc.	Designation	Percentage Composition^a
15/2	2398.80	(³F₄)[7]	99%
13/2	2399.87	(³F₄)[7]	89% + 8%(³F₄)[6]
9/2	2400.27	(³F₄)[4]	90% + 5% (³P₂)[4]
13/2	2401.74	(³F₄)[6]	90% + 8%(³F₄)[7]
11/2	2403.02	(³F₄)[6]	56% + 40% (³F₄)[5]
9/2	2404.90	(³F₄)[5]	94%
11/2	2406.23	(³F₄)[5]	56% + 39%(³F₄)[6]
13/2	2416.04	(³F₃)[6]	99%
11/2	2416.29	(³F₃)[6]	93% + 3%(³F₄)[6]
9/2	2417.55	(³F₃)[5]	67% + 14% (³F₂) [5] + 11% (³F₃)[4]
11/2	2418.90	(³F₃)[5]	82% + 10%(³F₂)[5]
9/2	2419.65	(³F₃)[4]	76% + 11% (³F₂)[5]
9/2	2422.43	(³F₂) [5]	50% + 17% (³F₂)[4] + 13% (³F₃)[5]
11/2	2424.19	(³F₂)[5]	68% + 14% (³F₃)[5] + 14% (¹D₂)[5]
9/2	2425.08	(³F₂)[4]	43% + 23% (¹D₂)[5] + 14% (³F₃)[5]
9/2	2440.22	(³P₂)[4]	50% + 21% (³F₂)[4] + 13% (³P₁)[4]
9/2	2446.05	(³P₂)[5]	43% + 41% (¹D₂) [5] + 13% (³F₂)[5]
11/2	2445.60	(³P₂)[5]	47% + 36% (¹D₂)[5] + 13% (³F₂)[5]
9/2	2458.27	(¹D₂)[4]	45% + 28% (³P₁)[4] + 16% (³F₂)[4]
13/2	2461.91	(¹G₄)	98%
15/2	2462.37	(¹G₄)[7]	99%
9/2	2462.77	(³P₁)[4]	49% + 28% (³P₂)[4] + 13% (¹D₂)[4]
11/2	2465.14	(¹D₂)[5]	40% + 47% (³P₂)[5] + 7% (¹G₄)[5]
9/2	2466.16	(¹D₂)[5]	33% + 48% (³P₂)[5] + 6% (¹G₄)[5]
11/2	2479.17	(¹G₄)[6]	99%
13/2	2479.60	(¹G₄)[6]	99%
9/2	2479.88	(¹G₄)[4]	95%
9/2	2483.88	(¹G₄)[5]	92% + 5%(¹D₂)[5]
11/2	2484.04	(¹G₄)[5]	91% + 6%(¹D₂)[5]

Observed		Calculated		O–C Δλ(Å)	Transition (Lower–Upper)
λ (Å)	Int.	λ (Å)	gf	O–C Δλ(Å)	Transition (Lower–Upper)
39.077	55	39.061	0.574	0.016	²D_5/2–(¹S₀)[3]_7/2
39.355	60	39.346	0.977	0.009	²D_3/2–(¹S₀)[3]_5/2
40.029	40	40.033	0.136	−0.004	²D_5/2–(¹G₄)[2]_3/2
–	–	40.033	0.159	−0.004	²D_5/2–(¹D₂)[3]_5/2
40.193	130	40.190	8.044	0.003	²D_5/2–(¹G₄)[3]_7/2
–	–	40.194	5.666	−0.001	²D_5/2–(¹G₄)[2]_5/2
40.240	90	40.242	3.831	−0.002	²D_5/2–(¹G₄)[1]_3/2
40.325	20	40.322	0.033	0.003	²D_5/2–(¹G₄)[4]_7/2
40.354	115	40.358	4.529	−0.004	²D_3/2–(¹G₄)[2]_3/2
–	–	40.358	6.818	−0.004	²D_3/2–(¹D₂)[3]_5/2
40.457	75	40.463	2.180	−0.006	²D_3/2–(¹G₄)[1]_1/2
40.473	65	40.475	0.715	−0.002	²D_5/2–(¹D²)[3]_7/2
40.548	50	40.558	0.200	−0.010	²D_5/2–(³P₁)[3]_5/2
–	–	40.570	0.138	−0.022	²D_3/2–(¹G₄)[1]_3/2
40.608	40	40.626	0.227	−0.018	²D_5/2–(¹P₄)[4]_7/2
40.650	20	40.666	0.112	−0.016	²D_5/2–(¹P₁)[2]_5/2
40.698	45	40.712	0.270	−0.014	²D_5/2–(³P₀)[3]_7/2
40.776	80	40.793	0.587	−0.017	²D_5/2–(¹D₂)[4]_7/2
40.823	25	40.839	0.027	−0.016	²D_3/2–(¹D₂)[2]_3/2
40.865	65	40.874	0.398	−0.009	²D_5/2–(³P₂)[2]_5/2
40.924	30	40.929	0.047	−0.005	²D_5/2–(³P₂)[2]_5/2
41.038	65	41.045	0.696	−0.007	²D_5/2–(³F₂)[2]_5/2
41.083	75	41.087	0.680	−0.004	²D_5/2–(³F₂)[3]_7/2
41.160	35	41.160	0.018	0.000	²D_5/2–(³F₂)[1]_3/2
41.210	65	41.209	0.426	0.001	²D_5/2–(³F₃)[2]_5/2
41.258	55	41.266	0.158	−0.008	²D_3/2–(³P₂)[2]_3/2
–	–	41.269	0.105	−0.011	²D_3/2–(³P₂)[3]_5/2
41.280	55	41.281	0.416	−0.001	²D_5/2–(³F₃)[1]_3/2
41.296	25	41.303	0.084	−0.007	²D_5/2–(³F₃)[3]_7/2
41.376	40	41.387	0.172	−0.011	²D_3/2–(³F₂)[2]_5/2
41.515	40	41.504	0.230	0.011	²D_3/2–(³F₂)[1]_3/2
41.559	80	41.542	0.172	0.017	²D_5/2–(³F₄)[3]_5/2
–	–	41.545	0.172	0.014	²D_5/2–(³F₄)[4]_7/2
–	–	41.550	0.160	0.009	²D_5/2–(³F₄)[2]_3/2
–	–	41.554	0.231	0.005	²D_3/2–(³F₃)[2]_5/2
41.629	15	41.627	0.044	0.002	²D_3/2–(³F₃)[1]_3/2
41.725	15	41.731	0.036	−0.006	²D_3/2–(³F₃)[3]_5/2
–	–	41.732	0.031	−0.007	²D_3/2–(³F₃)[0]_1/2
Average deviation = 0.010 (38 lines)

Obs.^a λ (Å)	Calc. λ (Å)	O–C Δλ (Å)	Calc. gf	Transition (Lower–Upper)
84.612	84.614	−0.002	0.150	²D_3/2–²P_3/2
83.196	83.196	0.000	1.367	²D_5/2–²P_3/2
77.249	77.249	0.000	0.807	²D_3/2–²P_1/2

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Journal of the Optical Society of America B