scholarly journals Calculation of the Differential Breit–Rosenthal Effect in the 6s6p 3P1,2 States of Hg

Atoms ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 86
Author(s):  
Tarjei Heggset ◽  
Jonas R. Persson

Studies of the hyperfine anomaly has found a renewed interest with the recent development of techniques to study the properties of long chains of unstable nuclei. By using the hyperfine structure for determining the nuclear magnetic dipole moments, the hyperfine anomaly puts a limit to the accuracy. In this paper, the differential Breit–Rosenthal effect is calculated for the 6s6p3P1,2 states in 199Hg as a function of the change in nuclear radii, using the MCDHF code, GRASP2018. The differential Breit–Rosenthal effect was found to be of the order of 0.1%fm−2, in most cases much less than the Bohr-Weisskopf effect. The results also indicate that large calculations might not be necessary, with the present accuracy of the experimental values for the hyperfine anomaly.

1973 ◽  
Vol 260 (2) ◽  
pp. 157-164 ◽  
Author(s):  
S. Büttgenbach ◽  
M. Herschel ◽  
G. Meisel ◽  
E. Schrödl ◽  
W. Witte

The nuclear magnetic dipole moment of 151 Eu and the ratio of the moments of 151 Eu and 153 Eu have been measured by the new method of resonance in three loops in a short atomic beam. The results are: μ ( 151 Eu) = 3·419 ± 0·004 n.m.; μ ( 151 Eu) / μ ( 153 Eu)= 2·2686 ± 0·0015. The result, taken together with the ratio of the hyperfine structures of europium, gives a hyperfine structure anomaly of (1·0 + 0·23)%. A theoretical value of the anomaly is estimated.


Atoms ◽  
2018 ◽  
Vol 6 (4) ◽  
pp. 63 ◽  
Author(s):  
Jonas Persson

The hyperfine anomalies in Gd and Nd have been extracted from experimental hyperfine structure constants. In addition to the values of the hyperfine anomaly, new improved values of the nuclear magnetic dipole moment ratios are derived.


The nuclear magnetic dipole moments of 151 Eu and 153 Eu have been re-measured. The revised values (corrected for diamagnetic shielding) are: μ( 151 Eu) = 3.4630 ± 0-0006 n.m., μ( 153 Eu) = 1.5292 ± 0-0008 n.m. The ratio of the moments is μ( 151 Eu)/μ( 153 Eu) = 2.26505 ±0.00042. These results were obtained by the method of triple resonance in an atomic beam. The hyperfine structure anomaly in the ground state of the europium atom is zero within limits of error. In this special circumstance it is shown that part of the nuclear magnetic dipole interaction is explained by relativistic effects. The quadrupole interaction is treated by the same theory, and good agreement with experiment is obtained, but high precision is not claimed for the theoretical result. This theory is based on a new relativistic calculation involving the use of an effective operator acting between non-relativistic states.


2020 ◽  
Vol 22 (13) ◽  
pp. 7065-7076 ◽  
Author(s):  
Andrej Antušek ◽  
Michal Repisky

This work reports new, accurate nuclear magnetic dipole moments for transition metal nuclei where the long-standing systematic error due to obsolete diamagnetic correction has been eliminated by ab initio calculations of NMR shielding constants.


1962 ◽  
Vol 40 (8) ◽  
pp. 931-942 ◽  
Author(s):  
J. A. Cameron ◽  
H. J. King ◽  
H. K. Eastwood ◽  
R. G. Summers-Gill

The hyperfine structure of the 4.5-hour metastable state of indium-115 has been studied by the method of atomic beam magnetic resonance. The values found for the hyperfine interaction constants are −903.5 ± 1.1 and −95.973 ± 0.010 Mc/sec in the 2P1/2 and 2P3/2 electronic states respectively. Neglecting a possible hyperfine anomaly, these correspond to a nuclear magnetic moment for In115m of −0.24371 ± 0.00005 nuclear magnetons. The construction of the atomic beam apparatus, recently completed at McMaster University, is also described.


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