Validity of the Concept of the Core Polarization Effect in Hyperfine Structure

1964 ◽  
Vol 135 (3A) ◽  
pp. A621-A626 ◽  
Author(s):  
E. A. Burke
Keyword(s):  
Hyperfine Structure ◽  
Polarization Effect ◽  
Core Polarization ◽  
The Core

Hyperfine structure of Eu I

1965 ◽  
Vol 289 (1416) ◽  
pp. 81-96 ◽  
Keyword(s):  
Theoretical Analysis ◽  
Hyperfine Structure ◽  
Relativistic Effects ◽  
Interaction Constant ◽  
Tensor Operator ◽  
Quadrupole Moments ◽  
Core Polarization ◽  
The Core ◽  
Least Squares Fit ◽  
Good Agreement

A theoretical analysis is made of the hyperfine structure of the twelve levels of Eu I 4 f 7 ( 8 S ) 6 s 6 p using intermediate-coupled eigenfunctions obtained from a least-squares fit of the energies of the levels. Relativistic effects for the 6 p electron are calculated throughout by tensor-operator techniques. Good agreement is obtained with the observed A values, treating as parameters the polarization of the core (by the f electrons) and the hyperfine interaction constant of the 6 s electron. The magnitude of the core polarization is related to data on Eu I 4 f 7 ( 8 S ) 6s 2 , Euii 4 f 7 ( 8 s ) 6 s , and Eu III 4 f 7 ( 8 S ). The hyperfine-structure anomalies also fall into a consistent pattern. The observed B values are related to quadrupole moments of 151 Eu and 153 Eu.

scholarly journals Calculation of the hyperfine structure of the superheavy elements E113 and E114+

2019 ◽  
Vol 15 (3) ◽  
pp. 5
Author(s):  
Dinh Thi Hanh
Keyword(s):  
Hyperfine Structure ◽  
Superheavy Elements ◽  
Many Body ◽  
Core Polarization ◽  
Hartree Fock ◽  
The Core ◽  
Many Body Perturbation Theory ◽  
Structure Constants ◽  
The Many ◽  
Qed Effects

The hyperfine-structure constants of the lowest s and p1/2 states of superheavy elements E113 and E114+ are presented in this article. The relativistic Hartree-Fock method with the core polarization being taken into account by means of the many-body perturbation theory. Breit and quantum electrodynamic (QED) effects are also considered. Similar calculations for Tl and Pb+ are used to gauge the accuracy of the calculations.

Contributions to the electron affinity of calcium and scandium

1992 ◽  
Vol 70 (12) ◽  
pp. 1283-1290 ◽  
Author(s):  
Charlotte Froese Fischer ◽  
Tomas Brage
Keyword(s):  
Ab Initio ◽  
Electron Affinity ◽  
Polarization Effect ◽  
Core Polarization ◽  
The Core ◽  
Theoretical Predictions ◽  
Good Agreement

Theoretical predictions of the electron affinity of Ca vary from 0 to 130 meV. Not all calculations have included the same effects. In this paper, the different approaches are reviewed, the effect of assumptions estimated whenever possible, and some new ab initio results reported that estimate the effect of core polarization on electron affinity for both Ca and Sc. For the latter our predicted electron affinity is in good agreement with the experimental value for the lowest 4s23d4p1D state and underestimates the electron affinity for 4s23d4p3D, where the calculation of outer correlation is more demanding and the core-polarization effect is small.

scholarly journals O2 State in 18 O by using Core – Polarization effects

2008 ◽  
pp. 66-72
Keyword(s):  
Perturbation Theory ◽  
Experimental Studies ◽  
Form Factors ◽  
Wave Model ◽  
Collective Model ◽  
Core Polarization ◽  
Polarization Effects ◽  
The Core ◽  
The Subject ◽  
Space Wave

Coulomb form factors for E0 transition in 18O are discussed taking into account core-polarization effects. These effects are taken into account through the collective model of Tassie and also through a microscopic perturbation theory including excitations up to 2p1f shell. Space wave model functions defined for the orbits 1 and 2125O nucleus has been the subject of extensive theoretical and experimental studies, which received much attention in last decade [Alex Brown et.al.2005]. The 18O system contains two neutrons in addition to the16O core distributed in the sd – shell. d1 are obtained from the diagonalization of the interaction Hamilonian of Wildenthal. The calculations include the 0 2state with excitation energies3.6337MeV. The core – polarization effects which incorporate the ollective model of Tassei describe the data very well for this state.

Influence of the core polarization on the dielectric properties of polyvalent metals

1998 ◽  
Vol 6 (3) ◽  
pp. 323-328 ◽  
Author(s):  
M. Knupfer ◽  
K. Widder ◽  
M. Sing ◽  
O. Knauff ◽  
J. Fink
Keyword(s):  
Dielectric Properties ◽  
Core Polarization ◽  
The Core

Calculation of the Knight Shift in Palladium

1979 ◽  
Vol 34 (4) ◽  
pp. 523-524 ◽  
Author(s):  
R. Krieger ◽  
J. Voitländer
Keyword(s):  
Fermi Surface ◽  
Knight Shift ◽  
Enhancement Factor ◽  
Negative Contribution ◽  
Core Polarization ◽  
Conduction Electrons ◽  
The Core ◽  
Core Electrons ◽  
Palladium Metal ◽  
Good Agreement

The direct and core-polarization contributions to the Knight shift in palladium metal have been calculated taking an enhancement factor of 10 for d- and 1.28 for s-electrons. We found a large negative contribution of - 3.88% for the core electrons and a comparatively small direct contribution of 0.18% for s-electrons on the Fermi surface. Together with an estimated contribution of 0.36% for conduction electrons in s-orbitals, but not on the Fermi surface, the calculated total amount of - 3.34% is in good agreement with the experimental value of - 4% obtained by the Jaccarino plot for palladium at 0 K

Effects of the isoscalar and isovector interaction on the ground-state magnetic moments of odd-mass 137–145Ce nuclei

2019 ◽  
Vol 97 (11) ◽  
pp. 1187-1190
Author(s):  
H. Yakut ◽  
E. Tabar ◽  
G. Hoşgör
Keyword(s):  
Ground State ◽  
Magnetic Moments ◽  
The Other ◽  
Spin Interaction ◽  
Nuclear Model ◽  
Isotopic Chain ◽  
Core Polarization ◽  
Polarization Effects ◽  
The Core

A systematic study of the magnetic properties of deformed odd-neutron 137–145Ce isotopes using the microscopic quasiparticle phonon nuclear model (QPNM) has been presented. The QPNM includes residual spin–spin interaction in both isoscalar and isovector channels. The analysis shows that in the isoscalar channel contributions to the magnetic moment coming from the neutron and proton systems practically cancel out each other. On the other hand, in the isovector channel, the coherent contribution coming from the quasiparticle–phonon interactions leads to a spin polarization (core polarization), which is important for determination of the quenched spin gyromagnetic factors (gs). The quenched spin gyromagnetic factors so called [Formula: see text] have been found to range from [Formula: see text] to [Formula: see text] in the odd-mass 137–145Ce isotopic chain, which is similar to its phenomenological value ([Formula: see text] between [Formula: see text] and [Formula: see text]). By taking into consideration the core polarization effects, the available experimental data are satisfactorily reproduced with an accuracy of 0.01μN–0.1μN.

Nuclear Core Polarization Effect on Beta Decay

1964 ◽  
Vol 133 (3B) ◽  
pp. B549-B555 ◽  
Author(s):  
Jun-Ichi Fujita ◽  
Saburo Fujii ◽  
Kiyomi Ikeda
Keyword(s):  
Beta Decay ◽  
Polarization Effect ◽  
Core Polarization ◽  
Nuclear Core

Core Polarization Effect on the Magnetic Moment of the (h922)8+State ofPo210

1970 ◽  
Vol 24 (7) ◽  
pp. 317-319 ◽  
Author(s):  
T. Yamazaki ◽  
T. Nomura ◽  
U. Katou ◽  
T. Inamura ◽  
A. Hashizume ◽  
...  
Keyword(s):  
Magnetic Moment ◽  
Polarization Effect ◽  
Core Polarization

Formation and Properties of Iron-Phosphorus and Iron-Phosphorus-Hydrogen Complexes in Silicon

2005 ◽  
Vol 108-109 ◽  
pp. 379-384 ◽  
Author(s):  
Teimuraz Mchedlidze
Keyword(s):  
Hydrogen Atom ◽  
Hyperfine Structure ◽  
Spin State ◽  
Iron Atom ◽  
Phosphorus Atom ◽  
The Core ◽  
Hydrogen Deuterium ◽  
Phosphorus Iron ◽  
Related Defect ◽  
Isotope Content

Hitherto unreported ESR signal, labeled TU10, was detected after annealing of electronirradiated silicon samples doped with phosphorus, iron and hydrogen. The ESR spectrum corresponds to a complex having monoclinic-I symmetry and S = 3/2 spin-state. Hyperfine structure of the TU10 spectrum suggests participation of two nucleus with spin I = 1/2 and 100% abundance in the core of the related defect. Doping of samples with hydrogen-deuterium mixture revealed presence of one hydrogen atom in the complex. The second nucleus with I = 1/2 is apparently a phosphorus atom. Presence of single iron atom was verified by doping with iron heaving modified isotope content. An intensity of the previously reported TU6 signal, related to iron-phosphorus complex, was significantly suppressed in hydrogen-doped samples.

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