V. Pfeufer, W. J. Childs, and L. S. Goodman, "J dependence of the isotope shift in the ground term of dysprosium i," J. Opt. Soc. Am. B 1, 34-37 (1984)
High-resolution laser-atomic-beam measurements have been made to study the J dependence in the optical isotope shift of the ground term 4f/10 6s2 5I of the naturally occurring dysprosium isotopes 160, 161, 162, 163, and 164. For each isotope pair with mass numbers A and A′, this J dependence is described through one parameter
, whose angular coefficient for a level is equal to that of the spin-orbit radial integral ζ4f. The J dependence can be explained by field-shift-crossed second-order effects.
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A negative sign means that the lighter isotope is shifted toward larger frequencies. The results for the first six lines have been taken from the work of Zaal et al.8 Our errors include statistical and systematic errors caused by nonlinearities of the laser frequency scan and the uncertainty in the free spectral range of the reference Fabry–Perot interferometer.
Table 2
Differences (in megahertz) in the Residual Isotope Shift
of the Ground-Term Levels 5I8 and 5IJ of Dy ia
Level
ΔδνR160–164
z4f160–164
ΔδνR162–164
z4f162–164
ΔδνR161–164
z4f161–164
ΔδνR160–163
z4f160–163
5I8
0
0
0
0
5I7
55.7(4.7)
21.4(1.8)
26.6(2.8)
10.2(1.1)
50.4(4.2)
19.3(1.6)
37.3(4.7)
14.3(1.8)
5I6
90.2(7.0)
22.5(1.8)
43.0(5.5)
10.7(1.4)
80.9(7.9)
20.2(2.0)
60.5(8.4)
15.1(2.1)
5I5
112.9(9.8)
23.5(2.0)
55.9(7.4)
11.6(1.5)
101.9(11.5)
21.2(2.4)
74.9(10.6)
15.6(2.2)
5I4
134.9(11.6)
24.0(2.1)
65.6(8.5)
11.7(1.5)
120.7(13.4)
21.5(2.4)
87.5(12.6)
15.6(2.2)
gives the ratio of
to the corresponding difference of the angular coefficients c4f(5I8) and c4f(5IJ).
Table 3
Angular Coefficient c4f of the Spin-Orbit Radial Integral ζ4f-in the Ground Term 4f10 6s2 5I of Dy i as Calculated with Wave Functions by Crosswhite (Ref. 28)
The third column gives the values of the change in the mean-square nuclear charge radius δ〈r2〉AA′ (in square femtometers) between the isotopes with mass numbers A and A′, taken from the work of b Lee and Boehm,29c Zaal et al.8
A negative sign means that the lighter isotope is shifted toward larger frequencies. The results for the first six lines have been taken from the work of Zaal et al.8 Our errors include statistical and systematic errors caused by nonlinearities of the laser frequency scan and the uncertainty in the free spectral range of the reference Fabry–Perot interferometer.
Table 2
Differences (in megahertz) in the Residual Isotope Shift
of the Ground-Term Levels 5I8 and 5IJ of Dy ia
Level
ΔδνR160–164
z4f160–164
ΔδνR162–164
z4f162–164
ΔδνR161–164
z4f161–164
ΔδνR160–163
z4f160–163
5I8
0
0
0
0
5I7
55.7(4.7)
21.4(1.8)
26.6(2.8)
10.2(1.1)
50.4(4.2)
19.3(1.6)
37.3(4.7)
14.3(1.8)
5I6
90.2(7.0)
22.5(1.8)
43.0(5.5)
10.7(1.4)
80.9(7.9)
20.2(2.0)
60.5(8.4)
15.1(2.1)
5I5
112.9(9.8)
23.5(2.0)
55.9(7.4)
11.6(1.5)
101.9(11.5)
21.2(2.4)
74.9(10.6)
15.6(2.2)
5I4
134.9(11.6)
24.0(2.1)
65.6(8.5)
11.7(1.5)
120.7(13.4)
21.5(2.4)
87.5(12.6)
15.6(2.2)
gives the ratio of
to the corresponding difference of the angular coefficients c4f(5I8) and c4f(5IJ).
Table 3
Angular Coefficient c4f of the Spin-Orbit Radial Integral ζ4f-in the Ground Term 4f10 6s2 5I of Dy i as Calculated with Wave Functions by Crosswhite (Ref. 28)
The third column gives the values of the change in the mean-square nuclear charge radius δ〈r2〉AA′ (in square femtometers) between the isotopes with mass numbers A and A′, taken from the work of b Lee and Boehm,29c Zaal et al.8
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