Ground state hyperfine structure and nuclear magnetic dipole moments of177Hf and179Hf

1973 ◽  
Vol 260 (2) ◽  
pp. 157-164 ◽  
Author(s):  
S. Büttgenbach ◽  
M. Herschel ◽  
G. Meisel ◽  
E. Schrödl ◽  
W. Witte
Keyword(s):  
Hyperfine Structure ◽  
Magnetic Dipole ◽  
Ground State ◽  
Dipole Moments ◽  
Nuclear Magnetic

The nuclear magnetic dipole moments of the stable isotopes of europium and the hyperfine structure anomaly

1960 ◽  
Vol 257 (1289) ◽  
pp. 277-282 ◽  
Keyword(s):  
Stable Isotopes ◽  
Dipole Moment ◽  
Hyperfine Structure ◽  
Magnetic Dipole ◽  
Atomic Beam ◽  
Magnetic Dipole Moment ◽  
Dipole Moments ◽  
New Method ◽  
Hyperfine Structures ◽  
Nuclear Magnetic

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.

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
Keyword(s):  
Hyperfine Structure ◽  
Magnetic Dipole ◽  
Dipole Moments ◽  
Hyperfine Anomaly ◽  
Unstable Nuclei ◽  
Experimental Values ◽  
Nuclear Magnetic ◽  
Long Chains

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.

Relativistic effects in many electron hyperfine structure III. Relativistic dipole and quadrupole interaction in europium and remeasurement of the nuclear magnetic dipole moments of 151 Eu and 153 Eu

1965 ◽  
Vol 289 (1416) ◽  
pp. 114-121 ◽  
Keyword(s):  
Hyperfine Structure ◽  
Magnetic Dipole ◽  
Quadrupole Interaction ◽  
Dipole Moments ◽  
Relativistic Effects ◽  
Dipole Interaction ◽  
Triple Resonance ◽  
Limits Of Error ◽  
Good Agreement ◽  
Nuclear Magnetic

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.

Measurement of the nuclear magnetic dipole moments of 177Hf and 179Hf with the atomic beam magnetic resonance method

1973 ◽  
Vol 43 (6) ◽  
pp. 479-480 ◽  
Author(s):  
S. Büttgenbach ◽  
M. Herschel ◽  
G. Meisel ◽  
E. Schrödl ◽  
W. Witte
Keyword(s):  
Magnetic Resonance ◽  
Magnetic Dipole ◽  
Atomic Beam ◽  
Dipole Moments ◽  
Resonance Method ◽  
Magnetic Resonance Method ◽  
Nuclear Magnetic

Hyperfine Structure ofGe73in theP13andP23Atomic States and the Nuclear Magnetic Dipole Moment ofGe71

1970 ◽  
Vol 1 (2) ◽  
pp. 750-750 ◽  
Author(s):  
W. J. Childs ◽  
L. S. Goodman
Keyword(s):  
Dipole Moment ◽  
Hyperfine Structure ◽  
Magnetic Dipole ◽  
Magnetic Dipole Moment ◽  
Nuclear Magnetic

NMR absolute shielding scales and nuclear magnetic dipole moments of transition metal nuclei

2020 ◽  
Vol 22 (13) ◽  
pp. 7065-7076 ◽  
Author(s):  
Andrej Antušek ◽  
Michal Repisky
Keyword(s):  
Transition Metal ◽  
Ab Initio ◽  
Systematic Error ◽  
Magnetic Dipole ◽  
Dipole Moments ◽  
Shielding Constants ◽  
Nuclear Magnetic

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.

Nuclear magnetic dipole moments from NMR spectra

2005 ◽  
Vol 411 (1-3) ◽  
pp. 111-116 ◽  
Author(s):  
Andrej Antušek ◽  
Karol Jackowski ◽  
Michał Jaszuński ◽  
Włodzimierz Makulski ◽  
Marcin Wilczek
Keyword(s):  
Magnetic Dipole ◽  
Nmr Spectra ◽  
Dipole Moments ◽  
Nuclear Magnetic

Hyperfine structure and nuclear moments of samarium

1966 ◽  
Vol 293 (1432) ◽  
pp. 117-144 ◽  
Keyword(s):  
Magnetic Field ◽  
Hyperfine Structure ◽  
Magnetic Dipole ◽  
Quadrupole Interaction ◽  
Dipole Interaction ◽  
Tensor Operator ◽  
Triple Resonance ◽  
Electric Quadrupole Interaction ◽  
A Value ◽  
Nuclear Magnetic

Experimental and theoretical work has been carried out on the hyperfine structure of the 4ƒ 6 7 F ground multiplet of samarium. Hyperfine structure intervals have been measured in the levels J = 1, 2, 3 and 4 for both odd isotopes 147 Sm and 149 Sm by the method of atomic beams. These intervals have been fitted to magnetic dipole and electric quadrupole interaction constants. Further measurements at high magnetic field by the method of triple resonance have led to the evaluation of the nuclear magnetic dipole moments of the two isotopes. It is shown that a calculation of the breakdown of L-S coupling and of second order corrections, off-diagonal in J , is necessary for an interpretation of the spectrum. The application of these corrections is facilitated by the formulation of an effective Hamiltonian, and the whole problem is treated step by step as a practical example of the use of tensor operator techniques. The spectrum is described in terms of a few overdetermined parameters, and in particular three radial parameters are evaluated. They are defined by the operator describing the magnetic field produced by the electrons at the nucleus: T ( e ) 1 = 2 β ∑ i ⁡ { < r l − 3 > 1 i − < r s C − 3 > √ 10 ( s C 2 ) i 1 + < r s − 3 > s i } . Their values are: < r i -3 > = 6.39 0 6 a 0 -3 , < r 5 C -3 > = 6.5 13 12 a 0 -3 , < r 5 -3 > = -0.20 8 6 a 0 -3 . The most important result is a precise determination of the nuclear magnetic moment of 147 Sm. It is μ I 147 = -0.807 4 7 n. m., uncorrected for diamagnetism. Also the ratio of the dipole interaction constants is A 1 147 / A 1 149 = 1.2130 5 2 for all J , and there is no observable Bohr-Weisskopf anomaly. It is shown that relativity is a plausible explanation for the non-vanishing of < r 5 -3 > in the contact term, but this explanation is not conclusive because the effect of relativity cannot be distinguished from that of configuration interaction in any part of the dipole interaction. The values of < r i -3 > and < r 5 C -3 >, which differ from each other, are compared with the value of an < r -3 > integral calculated by other workers. From the quadrupole interaction a value of –½ e 2 Q 147 < r Q -3 > = 149· 40 86 Mc/s is obtained and with less precision a value of Q 147 = -0.2 2 0 barn, uncorrected for shielding effects, is deduced. The ratio of the quadrupole moments is Q 147 / Q 149 = -3.460 3 1 , on the assumption that this ratio is the same as that of the quadrupole interaction constants.

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