J. L. Tech, V. Kaufman, and J. Sugar, "Rh i isoelectronic sequence: analysis of the 4d9–4d85p transition array in La xiii," J. Opt. Soc. Am. B 1, 41-44 (1984)
The spectrum of twelve-times ionized lanthanum (La xiii) was produced by a triggered, high-voltage, vacuum spark discharge and photographed by using the 10.7-m grazing-incidence spectrograph at the National Bureau of Standards. The wavelengths of spectral lines of the 4d9–4d85p array were measured in the 92–110-Å range. Twenty-eight observed lines in this array have been classified as transitions from twenty-five levels of the 4d85p configuration to the 4d9 2D ground term. Radial energy integrals were fitted to the observed levels of 4d85p, and the relative intensities of lines in the array were calculated with fitted eigenvectors. These intensities are in good qualitative agreement with the relative intensities visually estimated from the spectrograms. Least-squares-fitted values for the energy parameters and their ratios to the calculated Hartree–Fock values are given.
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Observed intensities are visual estimates of plate blackening. Predicted wavelengths and wave numbers are given in parentheses. A parenthesized wave number that is marked by an asterisk represents a predicted value derived from the observed wavelength of a transition to one of the two levels of the ground 2D term. These values should be more accurate than the ones predicted from the fitted diagonalization of the energy matrices.
Table 2
Energy Levels of La xiii Given in Numerical Order with the Leading Percentage Compositions of Their Eigenvectors
Level (cm−1)
Leading Percentage Compositions
Obs.
Calc.
O − C
J
4d9
0
5/2
100 2D
25100
3/2
100 2D
4d85p
922 760
7/2
63(3F)4D, 18(3F)4F
927 430
9/2
39(3F)2G, 34(3F)4G
939 690
3/2
28(1D)2D, 20(1D)2P
939 760
5/2
28(1D)2F, 15(3P)4D
947 840
947 830
10
5/2
38(3F)4D, 33(3F)4F
948 480
7/2
63(3F)4G, 16(3F)2G
958 970
3/2
28(3P)4D, 23(3F)4D
959 000
1/2
34(3P)4D, 17(3P)2P
960 590
11/2
96(3F)4G, 4(1G)2H
962 360
962 480
−120
5/2
33(3F)4G, 17(3P)4P
964 730
1/2
66(3P)4P, 24(3P)4D
966 640
9/2
68(3F)4F, 25(3F)2G
967 170
967 170
0
7/2
52(3F)2F, 23(3F)4D
969 200
969 220
−20
3/2
23(3P)4D, 17(3P)4P
972 570
972 740
−170
5/2
62(3F)2D, 14(3F)4D
976 780
9/2
80(1G)2H, 14(1G)2G
977 600
977 570
30
7/2
51(1G)2F, 20(1D)2F
979 180
979 310
−130
5/2
28(1D)2F, 18(3P)4P
982 470
982 640
−170
5/2
31(1D)2D, 16(3F)4G
984 400
984 330
70
3/2
28(3F)4D, 28(3P)2P
984 400
984 360
40
7/2
28(1D)2F, 18(1G)2F
985 780
9/2
62(3F)4G, 31(3F)2G
988 420
1/2
39(1D)2P, 22(3P)4D
989 460
989 380
80
5/2
19(3F)2F, 19(3F)4F
989 810
989 580
230
3/2
44(1D)2P, 39(3F)4F
990 360
990 040
320
7/2
46(3F)4F, 24(3F)2F
998 400
998 420
−20
3/2
60(3F)2D, 14(1D)2D
999 510
999 370
140
1/2
46(3F)4D, 36(3P)2P
1 000 430
1 000 480
−50
5/2
33(3F)2F, 24(3P)4P
1 002 400
7/2
51(3P)4D, 32(3F)2G
1 005 700
1 005 740
−40
3/2
28(3P)2P, 26(3P)2D
1 008 060
1 008 010
50
3/2
22(3P)4S, 20(3P)2D
1 010 410
1 010 430
−20
5/2
69(1G)2G, 10(3F)4F
1 011 040
11/2
96(1G)2H, 4(3F)4G
1 013 660
1013 610
50
5/2
49(3P)4D, 34(3P)2D
1014 610
1/2
58(3P)2S, 15(3P)4P
1 018 490
1 018 520
−30
3/2
37(3P)2P, 30(3P)4S
1 022 350
1 022 300
50
7/2
64(1G)2G, 12(1G)2F
1 022 590
3/2
27(3P)4S, 20(1D)2P
1 025 940
1 026 170
−230
5/2
28(1D)2D, 18(3F)2F
1 026 660
9/2
84(1G)2G, 13(1G)2H
1 027 160
1 027 310
−150
7/2
42(1D)2F, 16(3P)4D
1 027 920
1 027 820
100
1/2
38(3P)2P, 26(1D)2P
1 044 350
1/2
55(1S)2P, 21(1D)2P
1 076 080
3/2
81(1S)2P, 5(3P)2D
Table 3
LSF and HF Parameter Values for the 4d9 and 4d85p Configurations of La xiii (in cm−1)
This value is derived from the experimental value for the 2D ground-term splitting and the theoretical formula for this splitting. The stated uncertainty is based on our estimated uncertainty in the observed splitting.
Table 4
Normalized Ratios of Calculated to Visually Estimated Intensities of Spectral Lines in La xiii
Observed intensities are visual estimates of plate blackening. Predicted wavelengths and wave numbers are given in parentheses. A parenthesized wave number that is marked by an asterisk represents a predicted value derived from the observed wavelength of a transition to one of the two levels of the ground 2D term. These values should be more accurate than the ones predicted from the fitted diagonalization of the energy matrices.
Table 2
Energy Levels of La xiii Given in Numerical Order with the Leading Percentage Compositions of Their Eigenvectors
Level (cm−1)
Leading Percentage Compositions
Obs.
Calc.
O − C
J
4d9
0
5/2
100 2D
25100
3/2
100 2D
4d85p
922 760
7/2
63(3F)4D, 18(3F)4F
927 430
9/2
39(3F)2G, 34(3F)4G
939 690
3/2
28(1D)2D, 20(1D)2P
939 760
5/2
28(1D)2F, 15(3P)4D
947 840
947 830
10
5/2
38(3F)4D, 33(3F)4F
948 480
7/2
63(3F)4G, 16(3F)2G
958 970
3/2
28(3P)4D, 23(3F)4D
959 000
1/2
34(3P)4D, 17(3P)2P
960 590
11/2
96(3F)4G, 4(1G)2H
962 360
962 480
−120
5/2
33(3F)4G, 17(3P)4P
964 730
1/2
66(3P)4P, 24(3P)4D
966 640
9/2
68(3F)4F, 25(3F)2G
967 170
967 170
0
7/2
52(3F)2F, 23(3F)4D
969 200
969 220
−20
3/2
23(3P)4D, 17(3P)4P
972 570
972 740
−170
5/2
62(3F)2D, 14(3F)4D
976 780
9/2
80(1G)2H, 14(1G)2G
977 600
977 570
30
7/2
51(1G)2F, 20(1D)2F
979 180
979 310
−130
5/2
28(1D)2F, 18(3P)4P
982 470
982 640
−170
5/2
31(1D)2D, 16(3F)4G
984 400
984 330
70
3/2
28(3F)4D, 28(3P)2P
984 400
984 360
40
7/2
28(1D)2F, 18(1G)2F
985 780
9/2
62(3F)4G, 31(3F)2G
988 420
1/2
39(1D)2P, 22(3P)4D
989 460
989 380
80
5/2
19(3F)2F, 19(3F)4F
989 810
989 580
230
3/2
44(1D)2P, 39(3F)4F
990 360
990 040
320
7/2
46(3F)4F, 24(3F)2F
998 400
998 420
−20
3/2
60(3F)2D, 14(1D)2D
999 510
999 370
140
1/2
46(3F)4D, 36(3P)2P
1 000 430
1 000 480
−50
5/2
33(3F)2F, 24(3P)4P
1 002 400
7/2
51(3P)4D, 32(3F)2G
1 005 700
1 005 740
−40
3/2
28(3P)2P, 26(3P)2D
1 008 060
1 008 010
50
3/2
22(3P)4S, 20(3P)2D
1 010 410
1 010 430
−20
5/2
69(1G)2G, 10(3F)4F
1 011 040
11/2
96(1G)2H, 4(3F)4G
1 013 660
1013 610
50
5/2
49(3P)4D, 34(3P)2D
1014 610
1/2
58(3P)2S, 15(3P)4P
1 018 490
1 018 520
−30
3/2
37(3P)2P, 30(3P)4S
1 022 350
1 022 300
50
7/2
64(1G)2G, 12(1G)2F
1 022 590
3/2
27(3P)4S, 20(1D)2P
1 025 940
1 026 170
−230
5/2
28(1D)2D, 18(3F)2F
1 026 660
9/2
84(1G)2G, 13(1G)2H
1 027 160
1 027 310
−150
7/2
42(1D)2F, 16(3P)4D
1 027 920
1 027 820
100
1/2
38(3P)2P, 26(1D)2P
1 044 350
1/2
55(1S)2P, 21(1D)2P
1 076 080
3/2
81(1S)2P, 5(3P)2D
Table 3
LSF and HF Parameter Values for the 4d9 and 4d85p Configurations of La xiii (in cm−1)
This value is derived from the experimental value for the 2D ground-term splitting and the theoretical formula for this splitting. The stated uncertainty is based on our estimated uncertainty in the observed splitting.
Table 4
Normalized Ratios of Calculated to Visually Estimated Intensities of Spectral Lines in La xiii