The Influence of Nuclear Structure on the Hyperfine Structure of Heavy Elements

Bohr, Aage; Weisskopf, Victor F.

doi:10.1103/physrev.77.94

Cited by 584 publications

(275 citation statements)

References 9 publications

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“…There are two principal corrections to the Fermi-Breit formulae that is necessary to take into account: the magnetic moment distribution within the nucleus [9][10][11][12][13][14][15] and radiative corrections [11,[16][17][18][19]. Both of these corrections are of comparable magnitude.…”

Section: Introductionmentioning

confidence: 99%

“…matrix element of the tensor operators (9). Reducing the angular and spin variables in equation (2) we obtain in coordinate representation the system of integrals equations…”

Section: Basic Equationsmentioning

confidence: 99%

“…δ is the nuclear charge distribution correction, ε is the nuclear magnetization distribution correction (the Bohr-Weisskopf correction) [9], and ∆E QED is the QED correction. To obtain the first part of Eq.…”

Section: Hyperfine Splitting and Static Mj-momentsmentioning

confidence: 99%

“…The correction for an extended nuclear magnetization was first studied in an innovative work by A. Bohr and V. Weisskopf [9,10] and is also called "Bohr-Weisskopf effect". Recently, three approaches for theoretical determination of the Bohr-Weisskopf effect have been used.…”

Section: Introductionmentioning

confidence: 99%

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Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Sen'kov

Дмитриев

2002

Nuclear Physics A

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Hyperfine splitting in Bi 82+ and Pb 81+ ions was calculated using continuum RPA approach with effective residual forces. To fix the parameters of the theory the nuclear magnetic dipole moments of two one-particle and two one-hole nuclei around 208 Pb were calculated using the same approach. The contribution from velocity dependent two-body spin-orbit residual interaction was calculated explicitly. Additionally, the octupole moment of 209 Bi and the hfs in muonic bismuth atom were calculated as well in the same approach. All the calculated observables, except the electronic hfs in 209 Bi, are in good agreement with the data. We argue for more accurate measurement of the octupole moment and the muonic hfs for 209 Bi.

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Section: Introductionmentioning

confidence: 99%

“…matrix element of the tensor operators (9). Reducing the angular and spin variables in equation (2) we obtain in coordinate representation the system of integrals equations…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Hyperfine Splitting and Static Mj-momentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Sen'kov

Дмитриев

2002

Nuclear Physics A

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“…Therefore, finite-nucleus effects are sometimes considered as being of relativistic nature. Consideration of finite-nuclear currentdensity distributions affecting the hyperfine structure of heavy elements dates back to the early 1950s publications by Bohr & Weisskopf [216,217] and further back to the early days of modern quantum theory [218].…”

Section: Dks X2c-ksmentioning

confidence: 99%

Relativistic calculations of magnetic resonance parameters: background and some recent developments

Autschbach

2014

Phil. Trans. R. Soc. A.

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This article outlines some basic concepts of relativistic quantum chemistry and recent developments of relativistic methods for the calculation of the molecular properties that define the basic parameters of magnetic resonance spectroscopic techniques, i.e. nuclear magnetic resonance shielding, indirect nuclear spin-spin coupling and electric field gradients (nuclear quadrupole coupling), as well as with electron paramagnetic resonance g-factors and electron-nucleus hyperfine coupling. Density functional theory (DFT) has been very successful in molecular property calculations, despite a number of problems related to approximations in the functionals. In particular, for heavy-element systems, the large electron count and the need for a relativistic treatment often render the application of correlated wave function ab initio methods impracticable. Selected applications of DFT in relativistic calculation of magnetic resonance parameters are reviewed.

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Distributed basis sets ofs-type Gaussian functions for molecular electronic structure calculations: Applications of the Gaussian cell model to one-electron polycentric linear molecular systems

Wilson

1996

Int. J. Quantum Chem.

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IA particular formulation of the distributed Gaussian basis-set approach, the extended Gaussian cell model, is applied to the simplest polycentric molecule, the linear H:+ ion. Calculations of the total energy using two extensions of the original Gaussian cell model are described and results are reported for the ground state and the first excited state. A comparison with recently reported finite element calculations is made for a number of nuclear geometries.

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The Influence of Nuclear Structure on the Hyperfine Structure of Heavy Elements

Cited by 584 publications

References 9 publications

Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Relativistic calculations of magnetic resonance parameters: background and some recent developments

Distributed basis sets ofs-type Gaussian functions for molecular electronic structure calculations: Applications of the Gaussian cell model to one-electron polycentric linear molecular systems

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