Relativistic Calculations for Trapped Ions (original) (raw)
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Keldysh Institute Preprints
Dependence on Ionization Degree and Relativistic Effects in Electron Binding Energies in Free Atoms and Ions The electron binding energy analysis proposed before for atoms is applied to positive free ions. As a result the binding energy self-similar dependence on atomic number and ionization degree of ions is shown up. The revealed scaling enables to compare electron binding energies in a large number of atoms and ions, manifests the relativistic spin-orbit interaction effect in heavy atoms and can be used for the new data verification. Оne can represent the orbital energies in filled shells of arbitrary many-electron atom or ion through two independent of the atomic number functions. The polynomial fit approximation of the last ones is constructed to estimate the binding energies in ions. The estimation can be used as initial value in more perfect computation and for rough calculation of the ionization cross section of manyelectron atoms and ions by other particles.
Calculation of relativistic atomic transition and ionization properties for highly-charged ions
Physica Scripta, 1999
Recent years have seen a growing number of large^scale atomic structure calculations using both nonrelativistic and relativistic theories. For investigations of multiple and highly charged ions, of course, a relativistic structure code like the widely known GRASP program is required. In a revised version of this program, namely GRASP92 [F.A. Parpia, C.F. Fischer, and I.P. Grant, Comput. Phys. Commun. 94, 249 (1996)], systematic studies of level energies and a few other bound^state properties are now being supported. ö Here, we brie£y introduce a new package RATIP which extends GRASP92 towards the computation of various Relativistic Atomic Transition and Ionization Properties. A short overview of the capabilities of RATIP along with current developments will be given.
Correlation and Relativistic Effects on Landé g J Factors of Atomic Ions
Hyperfine Interactions, 2000
We investigate relativistic effects on the Landé g J factors of atomic ions using Multiconfiguration Dirac-Fock technique and Relativistic Many-Body perturbation theory. The role of Breit interaction, negative energy continuum and correlation effects is studied in Li-like, B-like, N-like ions and Ca + ground-states. We also investigate Ti-like ions which have a long-lived excited state with J = 4. Those ions are all good candidates for employing the continuous Stern-Gerlach effect to measure their g J -factor and provide accurate tests of relativistic many-body calculations.
Testing atomic structure theories with high-accuracy mass measurements on highly charged ions
Hyperfine Interactions, 2000
The mass of a highly charged ion is the sum of the mass of the nucleus, the mass of the electrons and the electronic binding energies. High-accuracy mass measurements on highly charged ions in a sequence of different charge states yield informations on atomic binding energies, i.e., the ionisation potentials. In our contribution we discuss the possibility of determining atomic binding energies of highly charged ions to better than 20 eV via cyclotron frequency measurements in a Penning trap. At this level of accuracy different contributions to the binding energies, like relativistic corrections, Breit corrections and QED corrections, can be measured.
Relativistic and Many-Body Effects on Total Binding Energies of Cesium and Other Highly-Charged Ions
Physica Scripta, 2001
The determination of atomic masses from highly ionized atoms using Penning Traps requires precise values for electronic binding energies. In the present work, binding energies of several ions (from several elements) are calculated in the framework of two relativistic many-body methods: Relativistic Many-Body Perturbation Theory (RMBPT) and Multi-Con¢guration DiracF ock (MCDF). The ions studied in this work are: Cl (He and Li-like), Se (F and Ne-like), Cs (He, Be, Ne, Al, Cl, Ar, K, Kr, Xe-like and neutral Cs), Hg, Pb and U (Br and Kr-like). Some of them are presented in this paper. Cesium has been treated in more details, allowing for a systematic comparison between MCDF and RMBPT methods. The Cs ions binding energies allow for the determination of atomic Cs mass, which can be used in a QED-independent ¢ne structure constant determination.
Atomic spectroscopy of trapped, highly charged, heavy ions
Hyperfine Interactions, 2006
For spectroscopy, the electron beam ion trap (EBIT) is of special interest, because it provides a cloud of highly charged ions that is confined to a small volume, at very low particle density, at a relatively low temperature, and without any net velocity in the laboratory rest frame. These conditions are favourable for observations at high spectral resolution and wavelength accuracy. Examples from recent work at Livermore comprise extreme ultraviolet and soft-X-ray spectra. A time-resolving multi-pixel microcalorimeter furthermore permits the study of time-dependent plasma phenomena and atomic lifetimes. Lifetime measurements at a heavy-ion storage ring can be combined with EBIT measurements to clarify isoelectronic behaviour.
Accurate mass spectrometry of trapped ions
Hyperfine Interactions, 1997
The Penning trap Ion Cyclotron Resonance (ICR) method we use to weigh atomic masses is reviewed, and our plans for future measurements, new methods, and apparatus improvements are discussed. Our ultimate goal is to develop a new technique for measuring atomic masses with an accuracy of a few parts in 10 12 . We will do this by comparing the cyclotron frequencies of two simultaneously trapped ions. In order to successfully implement this new method we are developing a quieter, more sensitive DC SQUID-based detector and a new more harmonic trap, and we plan to use our classical squeezing techniques to reduce the effects of thermal noise.
Relativistic calculations of isotope shifts in highly charged ions
Physical Review A, 2003
Relativistic calculations of the isotope shifts of energy levels in highly charged Li-like ions are performed. The nuclear recoil (mass shift) contributions are calculated by merging the perturbative and large-scale configuration-interaction Dirac-Fock-Sturm (CI-DFS) methods. The nuclear size (field shift) contributions are evaluated by the CI-DFS method including the electron-correlation, Breit, and QED corrections. The nuclear deformation and nuclear polarization corrections to the isotope shifts in Li-like neodymium, thorium, and uranium are also considered. The results of the calculations are compared with the theoretical values obtained with other methods. arXiv:1410.7071v1 [physics.atom-ph]