Relativistic Hartree-Fock-Slater eigenvalues, radial expectation values, and potentials for atoms, 2 ≤ Z ≤ 126

Lu, Chengpeng; Carlson, Thomas A.; Malik, F.B.; Tucker, T. C.; Nestor, C.W.

doi:10.1016/s0092-640x(71)80002-5

Cited by 292 publications

(61 citation statements)

References 19 publications

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“…The atom is described by a Hartree-Fock-Slater potential, the nucleus is expected to bear the Fermi charge distribution. In this work, we use the potential of Lu et al [5].Usually, the kinetic energy of the converted electron is derived from experimental binding energy of that electron prior to conversion. Due to the absence of the experimental data, we use the eigenvalues from [5] instead.…”

mentioning

confidence: 99%

“…The atom is described by a Hartree-Fock-Slater potential, the nucleus is expected to bear the Fermi charge distribution. In this work, we use the potential of Lu et al [5].…”

mentioning

confidence: 99%

“…Due to the absence of the experimental data, we use the eigenvalues from [5] instead. Those eigenvalues are known to be close to the experimental binding energies where available (within tens of eV for inermost shells, within eV's for the outermost shells).…”

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confidence: 99%

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K-Shell, L-Subshell, and Total Internal Conversion Coefficients for Superheavy Elements

Ryšavý¹,

Dragoun²

2001

Atomic Data and Nuclear Data Tables

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A. Introduction. -At present, the attempt to synthetize superheavy elements is one of important tasks of modern physics. The study of the structure of such isotopes is then a question of a near future.Very recently, in the isotope of 254 No (Z=102), the ground-state band of even-even nucleus up to spin 14 was identified [1]. Moreover a production of more heavier element -Z=118, A=293 -was indicated [2]. Then a further development of γ-ray spectroscopy can be expected. However, for such high Z's, the internal conversion strongly prevails over the emission of γ-rays and must be taken into account. In this work we present the internal conversion coefficients (ICC) for superheavy elements 104≤Z≤126.B. Calculations. -The ICC were calculated using the computer program NICC [3]. The program solves the Dirac equation for both bound and free electron states using the formulae by Büring [4]. Then it performs direct integration with reasonably small step to obtain the conversion matrix elements. The atom is described by a Hartree-Fock-Slater potential, the nucleus is expected to bear the Fermi charge distribution. In this work, we use the potential of Lu et al [5].Usually, the kinetic energy of the converted electron is derived from experimental binding energy of that electron prior to conversion. Due to the absence of the experimental data, we use the eigenvalues from [5] instead. Those eigenvalues are known to be close to the experimental binding energies where available (within tens of eV for inermost shells, within eV's for the outermost shells). Moreover, the dependence of the theoretical ICC on the kinetic energy of the emitted electron (except if this energy is close to zero, i.e. for transition energies near to the threshold for the particular subshell) is not too strong.For Z=104 only, we can compare our ICC with those of Rösel et al [6] and Band and Trzhaskovskaya [7]. For comparison, we have chosen the former ones since they are calculated using almost the same atomic model as we used. In most cases, the agreement is better than 1 percent, only exceptionally within 2 -3 percent. *

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confidence: 99%

“…The atom is described by a Hartree-Fock-Slater potential, the nucleus is expected to bear the Fermi charge distribution. In this work, we use the potential of Lu et al [5].…”

mentioning

confidence: 99%

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K-Shell, L-Subshell, and Total Internal Conversion Coefficients for Superheavy Elements

Ryšavý¹,

Dragoun²

2001

Atomic Data and Nuclear Data Tables

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“…With the exception of the nucleus description, this model is identical with that utilized by Rösel et al [2] (they used a homogenously charged sphere). The electron wavefunctions -both for the bound and free electrons -were calculated as solutions of the Dirac equation with the atomic potential of Lu et al [7] using the formulae of Bühring [8]. The conversion matrix elements were then evaluated by direct integration with reasonably small step.…”

mentioning

confidence: 99%

“…Since the electron binding energies are not known for the SH atoms, we used the eigenvalues from [7]. There are two reasons for it.…”

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confidence: 99%

Internal conversion coefficients for superheavy elements

Dragoun¹,

Ryšavý

Špalek

2000

J. Phys. G: Nucl. Part. Phys.

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The internal conversion coefficients (ICC) were calculated for all atomic subshells of the elements with 104≤Z≤126, the E1...E4, M1...M4 multipolarities and the transition energies between 10 and 1000 keV. The atomic screening was treated in the relativistic Hartree-Fock-Slater model. The tables comprising almost 90000 subshell and total ICC were deposited at LANL preprint server [1].PACS: 23.20.Nx, 27.90.+b A. Introduction.-The γ-ray and conversion electron spectroscopies have contributed substantially to our knowledge of the nuclear decay schemes. The extensive tables of the theoretical internal conversion coefficients (ICC) have enabled the investigators to derive from the spectroscopic data the multipolarities and total intensities of the electromagnetic transitions depopulating the excited nuclear states. Existing tables of the ICC cover wide region of the atomic numbers: 30≤Z≤104 for all atomic shells [2] and 10≤Z≤104 for the K, L, and M shells [3].Very recently, Reiter et al [4] investigated the Z=102 isotope 254 No produced in a heavy ion reaction. By means of a multidetector γ-ray spectrometer, the authors identified the ground-state band of the even-even nucleus up to spin 14. The transitions of energy less than 100 keV could not be seen in the γ-ray spectrum since they proceed almost entirely via emission of the conversion electrons. In connection with a great effort to produce superheavy (SH) nuclei, e.g. the indication for formation of the Z=118, A=293 isotope [5], a further progress in the γ-ray and conversion electron spectroscopies can be expected. With this motivation, we calculated in this work the ICC for SH elements with Z up to 126.B. Calculations. -The internal conversion coefficients for the elements with Z ≥ 104 were evaluated using the program NICC [6]. The physical model used for the atom description was the Hartree-Fock one with the Slater's exchange term, the nucleus was *

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Study of Actinides by Relativistic Coupled Cluster Methods

Eliav¹,

Kaldor²

2015

Computational Methods in Lanthanide and Actinide Chemistry

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Relativistic Hartree-Fock-Slater eigenvalues, radial expectation values, and potentials for atoms, 2 ≤ Z ≤ 126

Cited by 292 publications

References 19 publications

K-Shell, L-Subshell, and Total Internal Conversion Coefficients for Superheavy Elements

K-Shell, L-Subshell, and Total Internal Conversion Coefficients for Superheavy Elements

Internal conversion coefficients for superheavy elements

Study of Actinides by Relativistic Coupled Cluster Methods

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