Energies and transition wavelengths for two-electron atoms under Debye screening

Kar, Sabyasachi; Jiang, Zishi

doi:10.1016/j.adt.2014.12.003

Cited by 19 publications

(11 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This ratio R, which will be referred to as the percentage change in our subsequent discussion, turns out to vary as a nearly universal function of a reduced Debye length k D ¼ Z eff D, where D is the Debye length, related to the electron density N e and temperature T of the outside plasma, or, more conveniently in terms of the Bohr radius a o by [see, Eqs. (1)- (17)…”

Section: Introductionmentioning

confidence: 99%

“…Our recent works have shown that the estimates of the atomic data based on the DH approximation depend very much on the choice of A. 6,7 With the exception of a very few limited studies involving the low-lying atomic states, many of the recent atomic structure calculations based on the DH approximation [13][14][15][16][17][18][19][20][21][22] and a few on the modified DH approximation 23,24 failed to meet the spatial criterion of the DH approximation, especially those with A ¼ 0 when the atomic orbits overlap substantially with the outside plasma electrons.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Variation of the oscillator strengths for the α emission lines of the one- and two-electrons ions in dense plasma

Fang

Gao

et al. 2018

Physics of Plasmas

View full text Add to dashboard Cite

We present the results of a detailed theoretical study on the variation of the oscillator strengths for the 1s ! 2p transition of the H-like ions and the 1s 2 1 S ! 1s2p 1 P transition of the He-like ions (or, inversely, the Lyman-a and He a emission lines, respectively) subject to external plasma which meet the spatial and temporal criteria of the Debye-H€ uckel (DH) approximation. Our study shows that the resulting oscillator strength decreases for the He a line for He-like ions, similar to the Lyman-a emission lines for all H-like ions, as the effect of the external plasma increases with the decreasing Debye length D in terms of a reduced Debye length k D ¼ Z eff D. A nearly universal feature is demonstrated for a scaled oscillator strength as a function of the reduced Debye length k D ¼ (Z À 1)D for different He-like ions that meet the same criteria for the DH model. The percentage changes of the oscillator strengths from their plasma-free values are substantially greater than those for the corresponding change for the redshifts of the Lyman-a and He a emission lines subject to outside dense plasma. Should these general features be demonstrated experimentally, the theoretical procedure presented in this study could easily be applied to extrapolate from a single calculation for one He-like ion to other He-like ions, which could offer an alternative to complement other diagnostic efforts of the dense plasma.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Variation of the oscillator strengths for the α emission lines of the one- and two-electrons ions in dense plasma

Fang

Gao

et al. 2018

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…For the two‐component plasmas near thermodynamic equilibrium the Debye screening length can be written as

μ = \frac{1}{λ_{normalD}} = \sqrt{\frac{4 π (1 + Z^{*}) n}{k_{normalB} T}},

where

k_{normalB}

is the Boltzmann constant,

n

and

T

are the number density of the plasma electrons and temperature, respectively,

Z^{*}

is the effective charge of the ions in the embedded plasma. Details on atomic processes under Debye screening can be found form earlier articles in the literature . The significance of screened coulomb potential of Debye type for kappa‐distribution plasma has been focused in earlier articles …”

Section: Methodsmentioning

confidence: 99%

“…The study of atomic systems embedded in plasma environments is of great importance as this process has been used for plasma diagnostics and several other spectroscopic applications . Several spectral or structural properties of plasma embedded atoms, ions, molecules have been studied based on the Debye shielding approach to plasma modeling . The purpose of this article is to report the behavior of the dynamic dipole polarizabilities (DPP) of two‐electron ions Be 2+ , B 3+ , C 4+ under the influence of Debye plasmas screening.…”

Section: Introductionmentioning

confidence: 99%

Dynamic polarizability of two-electron ions under Debye screening

Kar

Wang

et al. 2015

Int. J. Quantum Chem.

Self Cite

View full text Add to dashboard Cite

The effect of plasma screening on the dynamic dipole polarizability (DPP) of two-electron ions Be 21 , B 31 , and C 41 has been investigated using highly correlated exponential wave functions within the framework of pseudostate summation technique and Debye screening concept. Plasma-screening effect on the oscillator strengths (OS) of the ultraviolet and visible series has also been investigated for the systems Li 1 , Be 21 , B 31 , C 41 . The DPP are reported as functions of screening parameters. The OS for S-P transitions are also reported for various screening parameters. The OS and dynamic polarizability show interesting behavior with increasing screening strength and nuclear charge.

show abstract

“…[14,[44][45][46][47] There exists numerous investigations in the literature related to structural and spectral features of DESs of two-electron atoms up to D state, among which few references are given. [4,5,7,12,15,[48][49][50][51][52][53][54][55][56] In contrast, the same studies for F e states are rather scanty. [8,9,11,16,24,[57][58][59][60][61] The estimations of the energy eigenvalues of metastable bound 1, 3 F e states of the He atom were done by a group of theoreticians [8,9,11,58,59] by using different quantum chemical approximation methods.…”

mentioning

confidence: 99%

Extensive investigations for metastable‐bound and resonance ³F^e states of He atom

Dutta

Sil²,

Saha

et al. 2019

Int J of Quantum Chemistry

View full text Add to dashboard Cite

Evaluation of energy eigenvalues of first 19 metastable bound doubly excited states (DESs) arising from even parity F states of He atom are done within the framework of the Ritz variational principle. The wavefunction of the given state is constructed from different combinations of pf and dd configurations. The radial parts of the wavefunctions for both the configurations are expanded in Hylleraas type basis set.The nonlinear parameters of the Slater-type orbitals representing both the electrons are taken in geometrical sequence that span the radial space properly. The present calculated energies for the metastable bound states are lowest yet obtained. The resonance parameters that is, energy position and width of a large number of resonance states lying above He + (2p) threshold are evaluated by using stabilization method. The resonance parameters calculated in this work are in good agreement with the available theoretical results for the resonance states lying below He + (3p) threshold. The parameters for a large number of resonance states lying between He + (3p) andHe + (7p) thresholds are being reported for the first time. The effective quantum numbers of all the states considered in the present work are estimated by using quantum defect theory. Different structural properties for example, the one-and two-particle moments, virial factors, expectation values of interelectronic angles, two-particle radial probability densities, and so forth are estimated for both metastable-bound as well as resonance states. The present results can be used as a benchmark for future references. : 31.15.ac, 31.15.xt, 32.80.Zb, 32.80.Ee K E Y W O R D S autoionization, doubly excited states, electron correlation, He atom, Hylleraas coordinate, variational method PACS | INTRODUCTIONStructural properties of two-electron atoms have drawn attention to many theoreticians as well as experimentalists. In the beginning of this century, Tanner et al [1] published a review article on the studies of two-electron atoms. Investigations on two-electron atoms are of immense interest in recent years due to the nonseparability of the dynamical equation of motion. It provides a fundamental testing ground for various quantum chemical approximation methods for example, Feshbach projection operator formalism, [27][28][29] close-coupling approximation method, [30,31] multiconfigurational Hatree-Fock method, [32,33] hyperspherical close-coupling method based on numerical basis set, [34,35] complex-coordinaterotation (CCR) method with a finite numerical basis set built on the solutions of discretized one particle Hamiltonian, [36] CCR method with minor

show abstract

Energies and transition wavelengths for two-electron atoms under Debye screening

Cited by 19 publications

References 48 publications

Variation of the oscillator strengths for the α emission lines of the one- and two-electrons ions in dense plasma

Variation of the oscillator strengths for the α emission lines of the one- and two-electrons ions in dense plasma

Dynamic polarizability of two-electron ions under Debye screening

Extensive investigations for metastable‐bound and resonance ³F^e states of He atom

Contact Info

Product

Resources

About

Energies and transition wavelengths for two-electron atoms under Debye screening

Cited by 19 publications

References 48 publications

Variation of the oscillator strengths for the α emission lines of the one- and two-electrons ions in dense plasma

Variation of the oscillator strengths for the α emission lines of the one- and two-electrons ions in dense plasma

Dynamic polarizability of two-electron ions under Debye screening

Extensive investigations for metastable‐bound and resonance 3Fe states of He atom

Contact Info

Product

Resources

About

Extensive investigations for metastable‐bound and resonance ³F^e states of He atom