Ulrik Nielsen, Per Thorsen, Ove Poulsen, and Hannah Crosswhite, "235U ii hyperfine structures measured by collinear fast-beam-laser and radio-frequency-laser double-resonance spectroscopy," J. Opt. Soc. Am. B 1, 284-292 (1984)
Collinear fast-beam-laser and rf-laser double-resonance spectroscopy have been carried out in 235U ii, allowing a detailed study of the hyperfine structure (hfs) of the three low odd configurations 5f3(7S2 + 6d7s + 6d2). Intermediate coupling wave functions, using parametric fitting, have been determined, allowing a parameterization of the hyperfine interaction. Ab initio Dirac–Fock calculations combined with this parameterization of our experimental data have allowed an analysis of the hfs of 235U ii, resulting in a new value for the magnetic-dipole moment μI = −0.38(3) nm and a spin density a7s10 = −2880(75) MHz of the 7s electron.
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The energies were measured using a traveling Michelson wavemeter.
IS = σ235 − σ238, 1 mK = 0.003 cm−1.
Relative measurement. Transition energies 0.002 cm−1.
Transition energies ±0.003 cm−1.
Table 2
Magnetic-Dipole Coupling Constant A and Electric-Quadrupole Constant B in 12 Levels Belonging to the Three Odd Configurations 5f3(7s2 + 6d7s + 6d2) in 235U ii Measured by Collinear Fast-Beam Laser Spectroscopy
Level (cm−1)
A (MHz)
B (MHz)
0
f3s2, J = 9/2
−76.9(10)
1017(50)
4420
f3s2, J = 11/2
−61.9(8)
1398(30)
8276
f3s2, J = 13/2
−52.6(5)
1886(20)
4585
f3d2, J = 13/2
9.7(2)
3124(10)
289
f3ds, J = 11/2
146.3(7)
4740(30)
914
f3ds, J = 9/2
176.9(7)
397(20)
1749
f3ds, J = 13/2
−246.3(5)
4063(20)
4706
f3ds, J = 5/2
305.5(10)
1484(20)
5401
f3ds, J = 7/2
−61.4(3)
397(10)
5790
f3ds, J = 11/2
63.1(2)
−38(10)
6445
f3ds, J = 9/2
−234.7(3)
−1273(10)
7166
f3ds, J = 9/2
−107.5(3)
−1363(10)
Table 3
Magnetic-Dipole Coupling Constant A and Electric-Quadrupole Coupling Constant B in 12 Excited Levels Measured of Even Parity in 235U ii, by Collinear Fast-Beam Laser Spectroscopy
Level (cm−1)
A (MHz)
B (MHz)
17392
f2d2s, J = 9/2
−91.9(7)
323(20)
17434
J = 11/2
−13.3(8)
4898(30)
18200
f2ds2, J = 9/2
−50.6(7)
1483(20)
18827
f2d2s, J = 11/2
−208.3(6)
3406(20)
21691
J = 11/2
−106.7(8)
1147(30)
21710
J = 13/2
−59.3(2)
2757(10)
21860
J = 7/2
73.1(8)
−376(20)
22429
J = 9/2
−175.0(2)
184(10)
22642
J = 9/2
−10.2(2)
580(10)
23553
J = 11/2
−116.9(2)
−797(10)
24288
J = 11/2
−20.2(3)
636(10)
25714
J = 13/2
−15.3(5)
2900(20)
Table 4
Hyperfine Intervals for Five Odd Levels in 235U ii Measured by Collinear Fast-Beam Rf-Laser Double-Resonance Spectroscopya
Level (cm−1)
F ↔ F
Rf (MHz)
A (MHz)
B (MHz)
4585 f3d2, J = 13/2
6 ↔ 7
231.720(10)
9.546(3)
3105.1(10)
7 ↔ 8
76.334(10)
8 ↔ 9
520.990(20)
5401 f3ds, J = 7/2
3 ↔ 4
322.726(20)
−60.301(6)
400.14(20)
4 ↔ 5
342.494(30)
5 ↔ 6
321.252(20)
6 ↔ 7
250.274(20)
5790 f3ds, J = 11/2
5 ↔ 6
380.885(10)
62.753(3)
−37.43(10)
6 ↔ 7
439.959(10)
7 ↔ 8
496.967(10)
8 ↔ 9
551.642(20)
6445 f3ds, J = 9/2
2 ↔ 3
469.419(20)
−235.010(3)
−1276.9(10)
3 ↔ 4
696.822(20)
4 ↔ 5
985.044(20)
7166 f3ds, J = 9/2
4 ↔ 5
338.360(20)
−107.843(6)
−1349.6(10)
5 ↔ 6
582.834(20)
6 ↔ 7
923.580(20)
The A and B values are not corrected for second-order hyperfine interactions
Table 5
Dirac–Fock19 One-Electron Radial Integrals Fjj′ and Rjj′ (a.u.) for 235U ii in the Three Odd Configurations f3 (s2 + ds + d2)
Electron
F++
F−−
F+−
R++
R−−
R+−
5f (f3s2)
5.293
5.684
5.418
5.346
5.854
5.491
6d (f3ds)
3.878
4.185
3.830
4.034
5.047
4.056
5f (f3ds)
5.192
5.509
5.284
5.245
5.674
5.355
7s (f3ds)
1.426
-
–
–
–
–
6d (f3d2)
3.184
3.905
3.352
3.312
4.709
3.550
5f (f3d2)
5.059
5.443
5.184
5.110
5.606
5.254
Table 6
Experimental and Calculated Magnetic-Dipole–Interaction Constants in 235U ii
Level (cm−1)
Aexp (MHz)
Acalc(MHz)
0
−76.9(10)
−79(6)
4420
−61.9(8)
−62(5)
8276
−52.6(5)
−53(5)
4585
9.546(3)
21(15)
289
146.3(7)
140(13)
914
176.9(7)
176(14)
1749
−246.3(5)
−227(11)
4706
305.5(10)
305(17)
5401
−60.301(6)
−202(10)
5790
62.753(3)
66(9)
6445
−235.010(3)
−215(9)
7166
−107.843(6)
−46(5)
Table 7
Experimental and Calculated Electric-Quadrupole-Interaction Constants in 235U ii
Level (cm−1)
Bexp (MHz)
Bcalc (MHz)
0
1017(50)
1158
4420
1398(30)
1373
8276
1886(20)
1755
4585
3105.1(10)
3192
289
4740(30)
3861
914
397(20)
162
1749
4063(20)
3547
4706
1485(20)
1233
5401
400.14(20)
908
5790
−37.43(10)
174
6445
−1276.9(10)
−822
7166
−1349.6(10)
−1299
Tables (7)
Table 1
Transition Shifts Energies and Isotope of Absorption Lines from the 12 Levels Studied in 235U iia
The energies were measured using a traveling Michelson wavemeter.
IS = σ235 − σ238, 1 mK = 0.003 cm−1.
Relative measurement. Transition energies 0.002 cm−1.
Transition energies ±0.003 cm−1.
Table 2
Magnetic-Dipole Coupling Constant A and Electric-Quadrupole Constant B in 12 Levels Belonging to the Three Odd Configurations 5f3(7s2 + 6d7s + 6d2) in 235U ii Measured by Collinear Fast-Beam Laser Spectroscopy
Level (cm−1)
A (MHz)
B (MHz)
0
f3s2, J = 9/2
−76.9(10)
1017(50)
4420
f3s2, J = 11/2
−61.9(8)
1398(30)
8276
f3s2, J = 13/2
−52.6(5)
1886(20)
4585
f3d2, J = 13/2
9.7(2)
3124(10)
289
f3ds, J = 11/2
146.3(7)
4740(30)
914
f3ds, J = 9/2
176.9(7)
397(20)
1749
f3ds, J = 13/2
−246.3(5)
4063(20)
4706
f3ds, J = 5/2
305.5(10)
1484(20)
5401
f3ds, J = 7/2
−61.4(3)
397(10)
5790
f3ds, J = 11/2
63.1(2)
−38(10)
6445
f3ds, J = 9/2
−234.7(3)
−1273(10)
7166
f3ds, J = 9/2
−107.5(3)
−1363(10)
Table 3
Magnetic-Dipole Coupling Constant A and Electric-Quadrupole Coupling Constant B in 12 Excited Levels Measured of Even Parity in 235U ii, by Collinear Fast-Beam Laser Spectroscopy
Level (cm−1)
A (MHz)
B (MHz)
17392
f2d2s, J = 9/2
−91.9(7)
323(20)
17434
J = 11/2
−13.3(8)
4898(30)
18200
f2ds2, J = 9/2
−50.6(7)
1483(20)
18827
f2d2s, J = 11/2
−208.3(6)
3406(20)
21691
J = 11/2
−106.7(8)
1147(30)
21710
J = 13/2
−59.3(2)
2757(10)
21860
J = 7/2
73.1(8)
−376(20)
22429
J = 9/2
−175.0(2)
184(10)
22642
J = 9/2
−10.2(2)
580(10)
23553
J = 11/2
−116.9(2)
−797(10)
24288
J = 11/2
−20.2(3)
636(10)
25714
J = 13/2
−15.3(5)
2900(20)
Table 4
Hyperfine Intervals for Five Odd Levels in 235U ii Measured by Collinear Fast-Beam Rf-Laser Double-Resonance Spectroscopya
Level (cm−1)
F ↔ F
Rf (MHz)
A (MHz)
B (MHz)
4585 f3d2, J = 13/2
6 ↔ 7
231.720(10)
9.546(3)
3105.1(10)
7 ↔ 8
76.334(10)
8 ↔ 9
520.990(20)
5401 f3ds, J = 7/2
3 ↔ 4
322.726(20)
−60.301(6)
400.14(20)
4 ↔ 5
342.494(30)
5 ↔ 6
321.252(20)
6 ↔ 7
250.274(20)
5790 f3ds, J = 11/2
5 ↔ 6
380.885(10)
62.753(3)
−37.43(10)
6 ↔ 7
439.959(10)
7 ↔ 8
496.967(10)
8 ↔ 9
551.642(20)
6445 f3ds, J = 9/2
2 ↔ 3
469.419(20)
−235.010(3)
−1276.9(10)
3 ↔ 4
696.822(20)
4 ↔ 5
985.044(20)
7166 f3ds, J = 9/2
4 ↔ 5
338.360(20)
−107.843(6)
−1349.6(10)
5 ↔ 6
582.834(20)
6 ↔ 7
923.580(20)
The A and B values are not corrected for second-order hyperfine interactions
Table 5
Dirac–Fock19 One-Electron Radial Integrals Fjj′ and Rjj′ (a.u.) for 235U ii in the Three Odd Configurations f3 (s2 + ds + d2)
Electron
F++
F−−
F+−
R++
R−−
R+−
5f (f3s2)
5.293
5.684
5.418
5.346
5.854
5.491
6d (f3ds)
3.878
4.185
3.830
4.034
5.047
4.056
5f (f3ds)
5.192
5.509
5.284
5.245
5.674
5.355
7s (f3ds)
1.426
-
–
–
–
–
6d (f3d2)
3.184
3.905
3.352
3.312
4.709
3.550
5f (f3d2)
5.059
5.443
5.184
5.110
5.606
5.254
Table 6
Experimental and Calculated Magnetic-Dipole–Interaction Constants in 235U ii
Level (cm−1)
Aexp (MHz)
Acalc(MHz)
0
−76.9(10)
−79(6)
4420
−61.9(8)
−62(5)
8276
−52.6(5)
−53(5)
4585
9.546(3)
21(15)
289
146.3(7)
140(13)
914
176.9(7)
176(14)
1749
−246.3(5)
−227(11)
4706
305.5(10)
305(17)
5401
−60.301(6)
−202(10)
5790
62.753(3)
66(9)
6445
−235.010(3)
−215(9)
7166
−107.843(6)
−46(5)
Table 7
Experimental and Calculated Electric-Quadrupole-Interaction Constants in 235U ii