## About

33

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Introduction

Karol Kozioł currently works at National Centre for Nuclear Research. Karol does research in Atomic, Molecular and Optical Physics, Theoretical Physics and Theoretical Chemistry.

## Publications

Publications (33)

We propose a novel approach for the theoretical analysis of the photoinduced high-resolution K(h)α(1,2) x-ray hypersatellite spectra, which allows us to obtain reliable values of lifetimes of the doubly K-shell ionized states and fundamental information about the relative role of K-shell double photoionization (DPI) mechanisms. It is demonstrated f...

The atomic states of the W IX (W⁸⁺) tungsten ion lying below the W⁹⁺ ionisation threshold have been studied theoretically, employing the multiconfiguration Dirac–Hartree–Fock method with configuration interaction. The level electronic structures and their energies are presented. The electric dipole (E1), magnetic dipole (M1), electric quadrupole (E...

We show here results of four-component calculations of nuclear magnetic resonance σ for atoms with 10 ≤ Z ≤ 86 and their ions, within the polarization propagator formalism at its random phase level of approach, and the first estimation of quantum electrodynamic (QED) effects and Breit interactions of those atomic systems by using two theoretical ef...

Studying K-shell hollow atom spectra broadens our knowledge on femtosecond phenomena in atomic physics, chemistry, and biology. Recent synchrotron measurements of the two-electron one-photon (TEOP) transitions of low-Z atoms have shown discrepancies between experiment and theoretical predictions of the TEOP relative intensities and their linewidths...

The 4d→3p x-ray transitions in Cu- and Ni-like tungsten ions have been studied theoretically. The multiconfiguration Dirac-Hartree-Fock (MCDHF) method and the large-scale relativistic configuration-interaction (CI) method have been employed in order to take into account electron correlation effects on the wavelengths and transition rates. It was fo...

The indirect spin-spin coupling tensor, $\bm J$, between mercury nuclei in systems containing this element can be of the order of few kHz and one of the largest measured. We analysed the physics behind the electronic mechanisms that contribute to the one- and two-bond couplings $^n \bm{J}_{\mathrm{Hg}-\mathrm{Hg}}$ ($n=1, 2$). For doing so, we perf...

Measurement of the X-ray spectra of the He-like Ni ions (Ni ²⁶⁺ ) and their dielectronic satellites (Ni ²⁵⁺ , Ni ²⁴⁺ , and Ni ²³⁺ ) plays a crucial role in determination of electronic and ion temperature of plasma in the JET device. Because n ⩾ 3 satellites of Ni ²⁵⁺ overlap with resonance line of Ni ²⁶⁺ , it is important to reconstruct the structu...

The $K$-shell level radiative, non-radiative, and total widths, $K$-shell fluorescence yields and $K$-shell hole state lifetimes for atoms with 20$\le$Z$\le$30 have been calculated in fully-relativistic way using the extensive multiconfiguration Dirac-Fock calculations with the inclusion of the Breit interaction and QED corrections and also using m...

The indirect nuclear spin-spin coupling tensor, $\bm J$, between mercury nuclei in Hg-containing systems can be of the order of few kHz and one of the largest measured. We conduct an analysis of the physics behind the electronic mechanisms that contribute to the one- and two-bond couplings $^n {\bm J}_{\mathrm{Hg}-\mathrm{Hg}}$ ($n=1, 2$). We perfo...

The numerical simulations of Cu Kα and Cu Kβ fluorescence lines induced by Rh X-ray tube and by monoenergetic radiation have been presented. The copper Kβ/Kα intensity ratios for pure elements as well as for Ag–Cu alloys have been modeled. The results obtained by use of the FLUKA code, based on the Monte-Carlo approach, have been compared to availa...

The Ag-Kα and Ag-Kβ fluorescence lines induced by Rh X-ray tube have been observed. The Ag Kβ/Kα intensity ratios for pure Ag and for Ag-Cu alloys have been obtained. The results have been compared with multi-configuration Dirac-Hartree-Fock predictions and available experimental values. Strong dependence between measured Kβ1,3/Kα1,2 and Kβ1,2,3/Kα...

Synopsis
The 4 d → 3p, 4p → 3s, and 4 f → 3 p x-ray transitions in Ni-like tungsten ions have been studied theoretically. The Multiconfiguration Dirac–Hartree–Fock method and the large-scale relativistic Configuration Interaction and Many Body Perturbation Theory methods have been employed in order to take into account electron correlation effects...

Synopsis
The calculations of radiative energies and transition rates for Kα 1,2 α 3 and K h α 1,2 satellite (Mi, M 2,3 , and N 1 spectator holes) lines for Ar and Ca have been carried out by using the GRASP2K and AMBIT codes. The influence of electron correlation on transition rates has been studied.

The Fac, Grasp2k, and Mcdfgme codes are compared in three case studies of the radiative transitions occurring in tungsten ions: (i) Ni1 and Ni2 lines in Ni-like tungsten, (ii) 3p3/2−3p1/2 fine splitting in Cl-like tungsten, and (iii) Kα1 and Kα2 lines in W VIII. Various approaches to including the Breit interaction term and QED corrections in atomi...

The natural widths, lifetimes, and fluorescence yields for the double K-shell hole states have been calculated for atoms with 10 ≤ Z ≤ 30. The Grasp2018 package was adopted to carry out a systematic computation of the Khα1,2 and Khβ1,3 radiative transition rates and Fac was used to calculate the KK−KLL, KK−KLM, and KK−KMM non-radiative Auger transi...

The FAC, GRASP2K, and MCDFGME codes are compared in three case study of radiative transitions occurring in tungsten ions: (i) Ni1 and Ni2 lines in Ni-like tungsten, (ii) $3p_{3/2}-3p_{1/2}$ hyperfine splitting in Cl-like tungsten, and (iii) $K{\alpha}_1$ and $K{\alpha}_2$ lines in W VIII. Various approaches to include Breit interaction term and QED...

The x-ray transitions in Cu- and Ni-like tungsten ions in the 5.19–5.26 Å wavelength range that are relevant as a high-temperature tokamak diagnostic, in particular for JET in the ITER-like wall configuration, have been studied. Tungsten spectra were measured at the upgraded Shanghai- Electron Beam Ion Trap operated with electron-beam energies from...

Several issues, concerning QED corrections, that are important in precise atomic calculations are presented. The leading QED corrections, self-energy and vacuum polarization, to the orbital energy for selected atoms with 30 ≤ Z ≤ 118 have been calculated. The sum of QED and Breit contributions to the orbital energy is analyzed. It has been found th...

Several issues concerning Breit correction to electron-electron interaction in many-electron systems, which are important in precise atomic and molecular calculations, are presented. At first, perturbative versus self-consistent calculations of Breit correction were studied in selected cases. Second, the Z-dependence of Breit contribution per subsh...

NMR shielding constants for He- and Be-like atomic systems of Ne, Ar, Kr, Xe, and Rn have been calculated at the random-phase-approximation level of approach, including an estimation of QED corrections within the polarization propagator formalism. We show that QED effects enhance electron correlation when Z becomes heavier, which happens with relat...

Multiconfiguration Dirac–Fock and Relativistic Configuration Interaction methods have been employed to predict the structure and the width of Kα1,2Kα1,2 x-ray lines of Al and Si. The influences of electron correlation and inclusion of possible satellite contributions on spectra structure have been studied. The widths of K and L2,3L2,3 atomic levels...

Widths of $K{L}_{2,3}$ atomic levels for Ca, Fe, and Zn have been calculated in a fully relativistic way using the extensive multiconfiguration Dirac-Fock and modified Dirac-Hartree-Slater calculations. The study of de-excitation of the ${K}^{$-${}1}{L}_{2,3}^{$-${}1}$ hole state has been presented. Additionally, the approximation to $K{L}_{2,3}$ l...

The K-shell level radiative, nonradiative, and total widths, K-shell fluorescence yields, and K-shell hole state lifetimes for atoms with 20≤Z≤30 have been calculated in a fully relativistic way using the extensive multiconfiguration Dirac-Fock calculations with the inclusion of the Breit interaction and QED corrections and also using multiconfigur...

We present theoretical predictions for iridium K alpha(1,2), K beta(1,3) and K beta(2) energy shifts as a function of outer-shell stripping, evaluated using the multiconfiguration Dirac-Fock method including Breit interaction and QED corrections. The energy shifts are consistent with the K-lines emitted by the plasma made in the plasma-filled rod p...

The present work provides a reliable interpretation of the Khα1/Khα2 intensity ratios and an explanation of the lifetime values for K-shell hollow atoms based on an advanced theoretical analysis (using extensive multiconfiguration Dirac–Fock calculations with the inclusion of the transverse Breit interaction and quantum electrodynamics corrections)...

In the present work, an alternative approach for the evaluation of the
equilibrium degree of K-, L- and M-shell ionizations and the mean charge
state \bar{q} for projectiles passing through various targets has been
proposed. The approach is based on measured K x-ray energy shifts and
line intensity ratios, and utilizes the theoretical analysis of
p...

In the present work, an alternative approach for the evaluation of the equilibrium K-, L-, and M-shell ionizations and the mean charge state q̅ for projectiles passing through various targets has been proposed. The approach is based on measured K x-ray energy shifts and line intensity ratios and utilizes the theoretical analysis of projectile spect...

Extensive multiconfiguration Dirac-Fock (MCDF) calculations with the inclusion of the transverse (Breit) interaction and QED corrections [1] have been carried out on 3d and 4d transition metals to explain the dependence of the structure of Kα and Kβ lines on the changes in valence electronic configurations belonging to three different types (N − 1)...

Extensive multiconfiguration Dirac-Fock calculations with the inclusion of the transverse (Breit) interaction and QED corrections have been carried out on 4d transition metals to explain the dependence of the structure of L?1,2 and L?1 lines on changes in configurations of the valence electrons.

Very extensive multiconfiguration Dirac-Fock calculations with the inclusion of the transverse (Breit) interaction and QED corrections have been carried out on gold, thorium and uranium to elucidate the structure of various satellite and hypersatellite Mα1,2 (M5N6,7) and Mβ1 (M4N6) lines in their X-ray spectra.

Extensive multiconfiguration Dirac-Fock (MCDF) calculations with the inclusion of the transverse (Breit) interaction and QED corrections have been carried out on molybdenum to explain the dependence of the structure of L alpha(1,2) and L beta(1) lines on the changes in configurations of the valence electrons belonging to two different configuration...

Extensive multiconfiguration Dirac-Fock calculations with the inclusion of the transverse (Breit) interaction and QED corrections have been carried out on gold and thorium to elucidate the structure of various satellite (additional vacancies in N and/or 0 shells) and hypersatellite (additional vacancies in M or M and N shells) M alpha(1,2) (M(5)N(6...