Systematic trends in E2 transitions along the sodium isoelectronic sequence

Charro, E.; Martı́n, I.

doi:10.1002/qua.10030

Cited by 5 publications

(5 citation statements)

References 21 publications

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“…Hence, our results of transition rates from the length and velocity gauges are in excellent agreement with a mean uncertainty (dT) of 0.003% for E1 transitions. Comparison of the present E2 oscillator strengths with the multiplet f values from Charro and Martín [37] is shown in Fig 5 . Our results agree well for almost all the transitions, except for 4f − 4p and 5p − 4f lines that stray relatively larger by 24% and 16% from the present results. This is possibly due to the small value ( 10 −06 ) of oscillator strengths corresponding to these lines.…”

Section: Xe 43+mentioning

confidence: 88%

“…Further, we compared the present E2 oscillator strengths with the multiplets results from another work of Charro and Martín [37] based on the RQDO procedure. The relative percentage deviation between the two results is displayed in Fig5 and a fair consistency (within 22%) is evident.…”

Section: Transition Parametersmentioning

confidence: 99%

“…Charro and Martín [36] used the relativistic quantum defect orbital (RQDO) method to compute A values between nl − n ′ l(n, n ′ = 3 − 4) states for Si IV to Kr XXVI ions . Later, Charro and Martín [37] employed the same method to calculate oscillator strengths for np 2 Pn ′ f 2 F (n = 3 − 5, n ′ = 3 − 6) E2 lines of Na-like K 8+ to Cs 44+ ions. Applying the C1V3 code of Hibbert, Younis et al [38] determined the energy levels and dipole oscillator strengths between n = 3 − 5 and l = 0 − 3 levels of Na-like ions up to krypton.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Relativistic Calculation of Energies, Transition Parameters Hyperfine Structure, Landé g$_J$ and Isotope shifts factors for Ar$^{7+}$, Kr$^{25+}$ and Xe$^{43+}$ ions

Rathi¹,

Sharma²

2022

Preprint

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In this study, comprehensive calculations of energies, hyperfine structure constants, Landé g J factors and isotope shifts have been performed for the lowest 71 states of Na-like Ar 7+ , Kr 25+ and Xe 43+ ions. Radiative parameters viz., wavelengths, transition rates, oscillator strengths and lifetimes are also estimated for the electric and magnetic dipole (E1,M1) and quadrupole (E2,M2) transitions among these levels. The states under consideration include 1s 2 2s 2 2p 6 nl for n = 3−9, l = 0 − 6, and the fully relativistic multiconfiguration Dirac-Fock (MCDF) method integrated in the latest version of the general-purpose relativistic atomic structure package (GRASP) is used for the calculations. The relativistic corrections, viz., Breit interactions and quantum electrodynamics effects are also included in the present work and their effects on energies and other parameters are analysed. We also examined the impact of including the core-core and core valence correlations on level energies. Further, to inspect the reliability of our MCDF results, we performed another set of calculations using the many-body perturbation theory inbuilt into the Flexible Atomic Code (FAC). A thorough comparison between the two obtained calculations and with the previous theoretical and experimental results, wherever available, is carried out and a good agreement is observed. The present calculations will considerably extend the already existing results for these Na-like ions as most of the results are reported for the first time. Further, we believe that our results are of high accuracy and will be beneficial for spectral analysis and diagnosis in plasma and astrophysics.

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Section: Xe 43+mentioning

confidence: 88%

Section: Transition Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Relativistic Calculation of Energies, Transition Parameters Hyperfine Structure, Landé g$_J$ and Isotope shifts factors for Ar$^{7+}$, Kr$^{25+}$ and Xe$^{43+}$ ions

Rathi¹,

Sharma²

2022

Preprint

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“…Along an iso-electronic sequence, the E2 radial matrix elements decrease like Z −2 c , rather than like Z −1 c as do the E1 matrix elements. For inter-configuration transitions with ∆n = 0, one has A E2 /A E1 ∝ Z 2 c , where A E1 and A E2 represent the transition probability rates for E1 and E2 lines respectively [19,22]. For inter-configuration transitions with ∆n = 0, the orders of magnitudes of the E1 and E2 transition probabilities vary in the same way with respect to the effective core charge Z c [19].…”

Section: Introductionmentioning

confidence: 99%

“…, where A E 1 and A E 2 represent the transition probability rates for E1 and E2 lines, respectively [19,22]. For inter-configuration transitions with n = 0, the orders of magnitudes of the E1 and E2 transition probabilities vary in the same way with respect to the effective core charge Z c [19].…”

Section: Introductionmentioning

confidence: 99%

Statistics of electric-quadrupole lines in atomic spectra

Pain¹,

Gilleron²,

Bauche³

et al. 2012

J. Phys. B: At. Mol. Opt. Phys.

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In hot plasmas, a temperature of a few tens of eV is sufficient for producing highly stripped ions where multipole transitions become important. At low density, the transitions from tightly bound inner shells lead to electric-quadrupole lines which are comparable in strength with electric-dipole ones. In the present work, we propose analytical formulas for the estimation of the number of E2 lines in a transition array. Such expressions rely on statistical descriptions of electron states and J-levels. A generalized "J-file" sum rule for E2 lines and the strength-weighted shift and variance of the line energies of a transition array nℓ N+1 → nℓ N n ′ ℓ ′ of inter-configuration E2 lines are also presented.

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Atomic Spectra Calculations for Fusion Plasma Engineering Using a Solvable Model Potential

Charro

Nieto

2018

Many-Body Approaches at Different Scales

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The analysis of the atomic spectra emitted by highly ionized atoms is a field of extraordinary richness and a part of atomic physics with applications in astrophysics, engineering, fusion plasma and materials research. Certain elements have attracted considerable attention because they are useful for spectroscopic diagnostics in fusion plasmas, where a prediction of the experimental spectra is required. Taking into account this fact, the Relativistic Quantum Defect Orbital method has been applied to calculate relevant atomic data, as transition rates for emission lines, in a high number of atoms and ions. This formalism, unlike sophisticated and costly self-consistent-field procedures, is a simple but reliable analytical method based on exactly solvable model potentials, a type of problems that always attracted Prof. March attention. The method has the great advantage of a low computational cost, which is not increased as the atomic system becomes heavier. In this work, a highlight of this method is presented, together with an overview of the main atomic data obtained using it, which are useful in engineering for fusion plasma diagnostic.

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Systematic trends in E2 transitions along the sodium isoelectronic sequence

Cited by 5 publications

References 21 publications

Relativistic Calculation of Energies, Transition Parameters Hyperfine Structure, Landé g$_J$ and Isotope shifts factors for Ar$^{7+}$, Kr$^{25+}$ and Xe$^{43+}$ ions

Relativistic Calculation of Energies, Transition Parameters Hyperfine Structure, Landé g$_J$ and Isotope shifts factors for Ar$^{7+}$, Kr$^{25+}$ and Xe$^{43+}$ ions

Statistics of electric-quadrupole lines in atomic spectra

Atomic Spectra Calculations for Fusion Plasma Engineering Using a Solvable Model Potential

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