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.

Theoretical oscillator strengths II. Transitions in principal, sharp, and diffuse spectral series of Al III, Ga III, In III, and Tl III spectra

1976 ◽  
Vol 54 (2) ◽  
pp. 130-136 ◽  
Author(s):  
J. Migdałek
Keyword(s):  
Theoretical Data ◽  
Relativistic Effects ◽  
Oscillator Strengths ◽  
Spectral Series ◽  
Semiempirical Approach ◽  
Exchange Effects ◽  
Optical Electron ◽  
Semiempirical Formula ◽  
Relativistic Oscillator ◽  
Good Agreement

A calculation is reported of nonrelativistic and relativistic oscillator strengths for the principal, sharp, and diffuse series, as well as some lifetimes, in the spectra of doubly ionized aluminum, gallium, indium and thallium. The wave functions that were used were obtained by employing a semiempirical approach which included exchange effects (the semiempirical [Formula: see text] method). Fairly good agreement was obtained with the available experimental and other theoretical data. A comparison of the nonrelativistic and relativistic oscillator strengths indicates that the influence of spin–orbit interaction of the optical electron, as well as other relativistic effects, is important in the case of even moderately heavy ions or atoms. Some systematic trends in the calculated oscillator strengths were found along the spectral series as well as along the sequence of homologous ions.

Relativistic oscillator strengths for np2 → np(n + 1)s transition array of SnI and PbI spectra in jj and intermediate coupling

1979 ◽  
Vol 57 (2) ◽  
pp. 147-151 ◽  
Author(s):  
J. Migdałek
Keyword(s):  
Transition Probabilities ◽  
Theoretical Data ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Intermediate Coupling ◽  
Hartree Fock ◽  
Semiempirical Approach ◽  
Exchange Effects ◽  
Relativistic Oscillator ◽  
Transition Array

The relativistic oscillator strengths for the np2 → np(n + 1)s transition array as well as the lifetimes of levels of the np(n + 1)s configuration in SnI and PbI spectra were calculated in jj and intermediate coupling. The relativistic radial integrals were computed employing the wave functions obtained by a semiempirical approach which allowed for exchange effects. The results obtained are compared with existing experimental and theoretical data. The significance of intermediate coupling for oscillator strengths computations is discussed. The agreement with experiment is for the present semiempirical results generally better (particularly for the PbI spectrum) than for oscillator strength deduced from 'Optimized Hartree–Fock–Slater' transition probabilities, which were published previously.

An Exciton Approach to the Excited States of Two Electron Atoms. II. Determination of Spectroscopic Parameters, Polarizabilities and Dispersion Coefficients of H-, He, Li+, Be2+ and Ne8+

1985 ◽  
Vol 38 (1) ◽  
pp. 11
Author(s):  
PE Schipper ◽  
B Martire
Keyword(s):  
Excited States ◽  
Ground State ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Exciton Model ◽  
Interaction Coefficients ◽  
Isoelectronic Series ◽  
Helium Isoelectronic Series ◽  
Good Agreement

The exciton model developed in an earlier paper is applied quantitatively to a description of the excited states of representative members of the helium isoelectronic series; viz. H-, He, Li+,Be2+ and Ne8+. The energies of the eight lowest excited states are in good agreement with experiment, for a relatively small (1s-4p) hydrogenic basis; the ground state is obtained with slightly less precision. Response properties including oscillator strengths, polarizabilities and dispersion interaction coefficients are also calculated. The method appears to be quantitatively sound, and, above all, leads to particularly simple interpretations of the wave functions and the energies.

Variational method for excited states from supersymmetric techniques

2003 ◽  
Vol 81 (11) ◽  
pp. 1283-1291 ◽  
Author(s):  
G RP Borges ◽  
A de Souza Dutra ◽  
Elso Drigo ◽  
J R Ruggiero
Keyword(s):  
Variational Method ◽  
Numerical Integration ◽  
Excited States ◽  
Ground State ◽  
Potential Parameter ◽  
The One ◽  
Double Well Potential ◽  
Good Agreement ◽  
03.65 Ge

We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ground state. The construction of an effective hierarchy of Hamiltonians is used to determine excited variational energies. The first four eigenvalues for a quartic double-well potential are calculated for several values of the potential parameter. The results are in very good agreement with the eigenvalues obtained by numerical integration. PACS Nos.: 11.30.Pb, 03.65.Ge

scholarly journals STRUCTURE EFFECT ON ONE-NEUTRON REMOVAL REACTION USING RELATIVISTIC MEAN FIELD DENSITIES IN GLAUBER MODEL

2011 ◽  
Vol 20 (12) ◽  
pp. 2505-2519 ◽  
Author(s):  
R. N. PANDA ◽  
S. K. PATRA
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Mean Field ◽  
Reaction Cross ◽  
Glauber Model ◽  
Halo Nuclei ◽  
Relativistic Mean Field ◽  
The Difference ◽  
The One ◽  
Good Agreement

We calculate the one-neutron removal reaction cross-section (σ-1n) for a few stable and neutron-rich Boron and Carbon halo nuclei with 12 C as target, using relativistic mean field (RMF) densities, in the frame work of Glauber model. The results are compared with the experimental data. Study of the stable nuclei with the deformed densities have shown a good agreement with the data. However, it differs significantly for the halo nuclei. We observe that while estimating the σ-1n value from the difference of reaction cross-sections of two neighboring nuclei with mass number A and that of A-1 in an isotopic chain, we get good agreement with the known experimental data for the halo cases.

HARTREE–FOCK WAVE FUNCTIONS FOR EXCITED STATES: IV. OSCILLATOR STRENGTHS IN THE HELIUM ISOELECTRONIC SEQUENCE

1967 ◽  
Vol 45 (6) ◽  
pp. 2079-2090 ◽  
Author(s):  
Maurice Cohen ◽  
Paul S. Kelly
Keyword(s):  
Matrix Element ◽  
Excited States ◽  
Transition Matrix ◽  
Transition Matrix Element ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Isoelectronic Sequence ◽  
Hartree Fock ◽  
Good Agreement

Orbital wave functions for a number of singlet and triplet S, P, and D states of the helium sequence through C+4 have been calculated using an approximation described earlier. The wave functions have been employed to calculate the oscillator strengths for all allowed dipole transitions between these states, using both the length and velocity forms of the transition matrix element. Our results are in good agreement with the most accurate values available.

Calculation of Wavelengths, Transition Probabilities and Oscillator Strengths for E1 and M1 Transitions in Cu-Like Au Ion

2015 ◽  
Vol 723 ◽  
pp. 799-803
Author(s):  
Min Xu
Keyword(s):  
Excited States ◽  
Magnetic Dipole ◽  
Configuration Interaction ◽  
Electric Dipole ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Oscillator Strengths ◽  
Forbidden Transitions ◽  
Calculation Results ◽  
Good Agreement

Wavelengths, transition probabilities and oscillator strengths have been calculated for electric dipole (E1) transitions and magnetic dipole (M1) transitions in Cu-like Au ion. These values are obtained in the configuration interaction (CI) and using the fully relativistic multiconfiguration Dirac-Fock (MCDF) method including quantum electrodynamical (QED) effect and Breit correction. Obtained energy levels of some excited states in Cu-like Au ion from the method are generally in good agreement with valuable theoretical and experimental results. The calculation results indicate that for high-Z highly ionized atom, some forbidden transitions are very important.

Excitation of lithium atoms by electron impact

1983 ◽  
Vol 61 (1) ◽  
pp. 1-5
Author(s):  
P. S. Ganas
Keyword(s):  
Experimental Data ◽  
Electron Impact ◽  
Excited States ◽  
Cross Sections ◽  
Born Approximation ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Central Potential ◽  
Generalized Oscillator ◽  
Comparison Of The Results

A realistic analytic central potential is used to generate wave functions for the ground and excited states of lithium. Generalized oscillator strengths and integrated cross sections from threshold up to 5 keV are calculated in the Born approximation for 2s–ns, 2s–np and 2s–nd excitations. Comparison of the results with experimental data is discussed.

Theoretical oscillator strengths III. Transitions in Au I, Hg II, Pb IV, and Bi V spectra

1976 ◽  
Vol 54 (22) ◽  
pp. 2272-2278 ◽  
Author(s):  
J. Migdałek
Keyword(s):  
Theoretical Data ◽  
Relativistic Effects ◽  
Wave Functions ◽  
The Other ◽  
Oscillator Strengths ◽  
Semiempirical Approach ◽  
Calculated Line ◽  
Exchange Effects ◽  
Active Electron ◽  
Relativistic Oscillator

In the course of this investigation the relativistic oscillator strengths were calculated for some transitions in the principal, sharp, and diffuse series of the Au I, Hg II, Pb IV, and Bi V spectra. The radial integrals were computed employing the wave functions for the active electron obtained by a semiempirical approach which allowed for exchange effects. A comparison between the calculated line and multiplet f values and the other available experimental and theoretical data is presented. The influence of the relativistic effects on the oscillator strengths values for the transitions under consideration is discussed.

FINE STRUCTURES OF SOME LOW-LYING EXCITED STATES FOR Be-LIKE SYSTEM

2002 ◽  
Vol 13 (03) ◽  
pp. 397-403 ◽  
Author(s):  
LIHONG HAN ◽  
BINGCONG GOU ◽  
HAIYUN HU ◽  
FEI WANG
Keyword(s):  
Experimental Data ◽  
Fine Structure ◽  
Excited States ◽  
Variation Method ◽  
Isoelectronic Sequence ◽  
Interaction Method ◽  
Configuration Interaction Method ◽  
Fine Structures ◽  
Restricted Variation ◽  
Good Agreement

The fine structure energies and fine structure splittings of some low-lying excited states of the beryllium isoelectronic sequence (Z = 4–20) are calculated with multi-configuration-interaction method and restricted variation method. The relativistic corrections and mass polarization are included. The results are in good agreement with other theoretical and experimental data.

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