Relativistic energy levels for ions in plasma

2014 ◽  
Vol 92 (12) ◽  
pp. 1609-1613 ◽  
Author(s):  
Hongwei Hu ◽  
Zhanbin Chen ◽  
Fuli Li ◽  
Chenzhong Dong ◽  
Luyou Xie ◽  
...  
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Effective Charge ◽  
Energy Levels ◽  
Outer Shell ◽  
Relativistic Energy ◽  
Electron Atom ◽  
The One ◽  
Theoretical Results

The Ritz variational–perturbational method is developed for calculating relativistic energy levels of ions embedded in plasmas. With a review of the one-electron atom problem, hydrogen-like ions are studied, and He-like and Li-like ions are studied at the effective charge approximation. For the outer shell excited states, the results agree well with other theoretical results and experimental data.

RELATIVISTIC ENERGY, OSCILLATOR STRENGTHS AND TRANSITION RATES OF THE 1s2 2 ln l 1S(m)(n =2–6, m1–5) STATES FOR Be-LIKE SYSTEM

2005 ◽  
Vol 16 (06) ◽  
pp. 951-968 ◽  
Author(s):  
MENG ZHANG ◽  
BING-CONG GOU
Keyword(s):  
Experimental Data ◽  
Energy Levels ◽  
Oscillator Strengths ◽  
Relativistic Energy ◽  
Transition Rates ◽  
Isoelectronic Sequence ◽  
Polarization Effects ◽  
First Order ◽  
Variational Calculations ◽  
First Order Perturbation

Variational calculations are carried out with a multiconfiguration-interaction wave function to obtain the relativistic energies of the 1s2 2 ln l 1 S (m)(n =2–6, m1–5) states for the beryllium isoelectronic sequence (Z =4–10). Relativistic corrections and the mass polarization effects are evaluated with the first-order perturbation theory. The identifications of the energy levels for 1s2 2 ln l 1 S (m)(n =2–6, m1–5) states in the Be-like ions are reported. The oscillator strengths, transition rates and wavelengths are also calculated. The calculated results are compared with other theoretical and experimental data in the literature.

Theoretical Investigations Of The Spin Hamiltonian Parameters Of Zrsio4:Np4+

2004 ◽  
Vol 59 (7-8) ◽  
pp. 471-475
Author(s):  
Shao-Yi Wu ◽  
Hui-Ning Dong
Keyword(s):  
Experimental Data ◽  
Energy Levels ◽  
Structural Data ◽  
Superposition Model ◽  
Spin Hamiltonian ◽  
Theoretical Investigations ◽  
Structure Constants ◽  
Crystal Field Parameters ◽  
Hamiltonian Parameters ◽  
Theoretical Results

In this work, the spin Hamiltonian (SH) parameters g|| and g⊥, and the hyperfine structure constants A|| and A⊥ for ZrSiO4:Np4+ are investigated on the basis of the perturbation formulas of these parameters for a 5f3 ion in tetragonal (D2d) symmetry. In these formulas, the contributions to the SH parameters from the second-order perturbation terms, the admixtures of various energy levels and the covalency effect are taken into account. The related crystal-field parameters are calculated from the superposition model and the local structural data of the Zr4+ site occupied by the impurity Np4+. The calculated SH parameters agree reasonably with the experimental data. The validity of the theoretical results is discussed.

Study of Electromagnetic Multipole Transition Half-Lives of One-Hole 15O–15N and One-Particle 17O–17F Mirror Nuclei

2013 ◽  
Vol 68 (10-11) ◽  
pp. 709-714 ◽  
Author(s):  
Mohammadreza Pahlavani ◽  
Behnam Firoozi
Keyword(s):  
Experimental Data ◽  
Wave Functions ◽  
The Other ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Matrix Elements ◽  
Saxon Potential ◽  
N Isotopes ◽  
The One ◽  
Theoretical Results

Energy spectrum and wave functions are obtained numerically with a potential consisting of Woods-Saxon, Coulomb, and spin-orbit coupling parts for the nuclei 15O, 15N, 17O, and 17F. The radial parts of the wave functions are used to calculate some matrix elements of electromagnetic transitions. These results are applied to calculate half-lives of low-lying exited states in the one-particle 17O and 17F as well as in the one-hole 15O and 15N isotopes. The calculated half-lives are compared with available experimental and theoretical results based on harmonic oscillator wave functions and Weisskopf units. In comparison with the results calculated from the other methods, our results based on the Woods-Saxon potential indicate a satisfactory agreement with accessible experimental data.

Approximate non-relativistic energy expression and the rotational–vibrational constants of the Tietz–Hua potential: a semiclassical approach

2020 ◽  
Vol 98 (11) ◽  
pp. 683-689
Author(s):  
Ekwevugbe Omugbe
Keyword(s):  
Experimental Data ◽  
Approximation Scheme ◽  
Energy Levels ◽  
Quantum States ◽  
Energy Spectra ◽  
Relativistic Energy ◽  
Centrifugal Term ◽  
Semiclassical Approach ◽  
Type Approximation ◽  
Vibrational Constants

The low- and high-lying rovibrational energy levels of the Schrodinger equation with the molecular Tietz–Hua potential are obtained via the Wentzel–Kramers–Brilluoin (WKB) quantization approach. The Pekeris-type approximation scheme is applied to deal with the orbital centrifugal term of the effective potential function. The obtained energy spectra and the rotational–vibrational (rovibrational) coefficients for [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] diatomic molecules were compared with the ones obtained by other analytical methods and available experimental data in the literature. The results revealed that the accuracy of the energy spectra for the high-lying rovibrational quantum states may depend on the rotational-vibrational constants.

scholarly journals STUDIES OF PHOTOIONIZATION PROCESSES OF NITROGEN-LIKE O+ION USINGTHE SCREENING CONSTANT BY UNIT NUCLEAR CHARGEMETHOD

2021 ◽  
Vol 9 (09) ◽  
pp. 977-985
Author(s):  
Babou Diop ◽  
◽  
Abdou Diouf ◽  
Youssou Gning ◽  
Maurice Faye ◽  
...  
Keyword(s):  
Experimental Data ◽  
Metastable State ◽  
Effective Charge ◽  
Nuclear Charge ◽  
Theoretical Studies ◽  
Rydberg Series ◽  
Screening Constant ◽  
Semi Empirical ◽  
Experimental And Theoretical Studies ◽  
Theoretical Results

In this present work, we have calculated the energies positions of the 2s22p2(1D)nd2P, 2s22p2(1D)nd2S, 2s22p2(1D)ns 2D, 2s22p2(1S)nd2D and 2s2p3(3P)np2D Rydberg series in the photoionization spectra from the 2P° metastable state of the O+ ion. Calculations were performed up to n = 40 applyingthe Screening Constant by Unit Nuclear Charge (SCUNC) via its semi empirical formalism. The quantum defect and the effective charge are also calculated.The results agree within 98% to Aguilars experimental data, and with Sows theoretical results to within 99%. These data can be a useful guideline for future experimental and theoretical studies.

Theoretical relativistic oscillator strengths I. Transitions in principal, sharp, and diffuse series of Al I, Ga I, In I, and Tl I spectra

1976 ◽  
Vol 54 (2) ◽  
pp. 118-129 ◽  
Author(s):  
J. Migdałek
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Principal Series ◽  
Semiempirical Method ◽  
Oscillator Strengths ◽  
Relative Line ◽  
Exchange Effects ◽  
The One ◽  
Relativistic Oscillator ◽  
Good Agreement

The oscillator strengths for the sharp, principal, and diffuse series in the spectra of Al I, Ga I, In I, and Tl I are calculated as well as the lifetimes of their lowest excited states. The wave functions that were used were calculated by employing a relativistic semiempirical method which included exchange effects. Very good agreement with the most reliable experimental data was obtained for the fik values in the sharp series as well as for the calculated lifetimes. The discrepancies in the diffuse series are ascribed to the failure of the one-electron approach in the case of strongly perturbed series. The observed deviations in the relative line strengths from the values predicted neglecting the spin–orbit interaction were also investigated. Some systematic trends in the calculated oscillator strengths that were found for the sharp and principal series appear to be corroborated by experimental data for the sharp series in the spectra of Al I, Ga 1, In I.andTl 1.

scholarly journals Energy Levels and Electromagnetic Transition of Some Even-Even Xe Isotopes

2016 ◽  
Vol 10 (11) ◽  
pp. 181 ◽  
Author(s):  
Hussein H. Khudher ◽  
Ali K. Hasan ◽  
Fadhil I. Sharrad
Keyword(s):  
Experimental Data ◽  
Energy Levels ◽  
Electric Quadrupole ◽  
Branching Ratios ◽  
Interacting Boson Model ◽  
Electric Quadrupole Moment ◽  
Electromagnetic Transition ◽  
Mixing Ratios ◽  
Boson Model ◽  
Theoretical Results

In this work, the energy levels electromagnetic transition B(E2) and B(M1), branching ratios, mixing ratios and electric quadrupole moment of even-even 120-126Xe isotopes have been investigated using Interacting Boson Model (IBM-1). The results were compared with some previous experimental and theoretical values, it was seen that the obtained theoretical results are in agreement with the experimental data.

scholarly journals Atypical dependence of excited exciton energy levels and electron-hole correlation on emission energy in pyramidal InP-based quantum dots

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Michał Gawełczyk
Keyword(s):  
Quantum Dots ◽  
Excited States ◽  
Energy Levels ◽  
Photon Emission ◽  
Morphological Data ◽  
Configuration Interaction Method ◽  
Electron Hole ◽  
Emission Energy ◽  
Specific Morphology ◽  
The One

AbstractWe calculate the spectrum of excited exciton states in application-relevant self-assembled pyramidal quantum dots grown in InAs/InP and InAs/AlGaInAs material systems. These types of dots have been recently shown to combine the emission in the third optical fiber window with low surface density and a reasonable level of in-plane symmetry of emitters, which predestines them for studies on single- and entangled-photon emission and for corresponding applications. The spectrum of optically active excited states is crucial for successful resonant and quasi-resonant excitation of emitters, allowing for conservation of angular momentum and addressing individual selected quantum states. Here, we show that in both types of studied dots, due to their specific morphology of truncated pyramid, the density of excited-state ladder, especially the s–p shell splitting may follow an unconventional dependence on emission energy, opposite to the one typically met in regular quantum dots. We obtain this result via modeling based on available morphological data and calculation within the multi-band $${{\varvec{k}} {\cdot } {\varvec{p}}}$$ k · p envelope-function theory combined with the configuration-interaction method used to calculate exciton states. Then, we explain this observation in purely geometric terms, as a result of an increasing effective quantum confinement width in a pyramid that is progressively cut from the top. Additionally, we show that the inverted trend is also manifested in the amount of electron-hole correlation in the exciton ground state, which also shows an anomalous dependence on emission energy and quantum dot volume.

scholarly journals Excitation of Some Nitrogen-Like Ions: Calculations and Comparison with Measurements

2021 ◽  
Vol 248 ◽  
pp. 01020
Author(s):  
O.B. Nadykto ◽  
B.A. Nadykto ◽  
A.B. Nadykto
Keyword(s):  
Experimental Data ◽  
Fine Structure ◽  
Excited States ◽  
Electronic Energy ◽  
Total Momentum ◽  
Relative Accuracy ◽  
Electronic Configurations ◽  
Theoretical Results ◽  
Electron Excited States

Electronic energies of one-electron excited states 1s22s22p2ns 4P, 1s22s22p2ns 2P, 1s22s22p2np 4S, 1s22s22p2np 2S, 1s22s22p2np 4P, 1s22s22p2np 2P, 1s22s22p2np 4D, 1s22s22p2np 2D, 1s22s22p2nd 4P, 1s22s22p2nd 2P, 1s22s22p2nd 4D, 1s22s22p2nd 2D, 1s22s22p2nd 4F, 1s22s22p2nd 2F of nitrogen-like ions with n=3-12 and Z=7-50 have been calculated. For all the aforementioned electronic configurations, fine-structure levels have been determined for states with different total momentum J. The comparison of theoretical results with the available experimental data shows that theory and measurements agree well. In particular, relative accuracy of 10-4 has been achieved in the electronic energy of N-like at Z > 10, while the typical deviation in the calculated fine-structure levels from experimental data is in the order of 10-2

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