skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Correlation and relativistic effects for the 4f-nl and 5p-nl multipole transitions in Er-like tungsten

Abstract

Wavelengths, transition rates, and line strengths are calculated for the multipole (E1, M1, E2, M2, E3, and M3) transitions between the excited [Cd]4f{sup 13}5p{sup 6}nl, [Cd]4f{sup 14}5p{sup 5}nl configurations and the ground [Cd]4f{sup 14}5p{sup 6} state in Er-like W{sup 6+} ion ([Cd]=[Kr]4d{sup 10}5s{sup 2}). In particular, the relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate energies and transition rates for multipole transitions in this hole-particle system. This method is based on the relativistic many-body perturbation theory that agrees with multiconfiguration Dirac-Fock (MCDF) calculations in lowest order, and includes all second-order correlation corrections and corrections from negative-energy states. The calculations start from a [Cd]4f{sup 14}5p{sup 6} Dirac-Fock (DF) potential. First-order perturbation theory is used to obtain intermediate-coupling coefficients, and second-order RMBPT is used to determine the multipole matrix elements needed for calculations of other atomic properties such as line strengths and transition rates. In addition, core multipole polarizability is evaluated in random-phase and DF approximations. The comparison with available data is demonstrated.

Authors:
;  [1]
  1. Physics Department, University of Nevada, Reno, Nevada 89557 (United States)
Publication Date:
OSTI Identifier:
22051299
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HARTREE-FOCK METHOD; INTERMEDIATE COUPLING; M3-TRANSITIONS; MANY-BODY PROBLEM; NEGATIVE ENERGY STATES; PERTURBATION THEORY; POTENTIALS; RELATIVISTIC RANGE; TUNGSTEN; TUNGSTEN IONS

Citation Formats

Safronova, U. I., and Safronova, A. S. Correlation and relativistic effects for the 4f-nl and 5p-nl multipole transitions in Er-like tungsten. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.012511.
Safronova, U. I., & Safronova, A. S. Correlation and relativistic effects for the 4f-nl and 5p-nl multipole transitions in Er-like tungsten. United States. doi:10.1103/PHYSREVA.84.012511.
Safronova, U. I., and Safronova, A. S. Fri . "Correlation and relativistic effects for the 4f-nl and 5p-nl multipole transitions in Er-like tungsten". United States. doi:10.1103/PHYSREVA.84.012511.
@article{osti_22051299,
title = {Correlation and relativistic effects for the 4f-nl and 5p-nl multipole transitions in Er-like tungsten},
author = {Safronova, U. I. and Safronova, A. S.},
abstractNote = {Wavelengths, transition rates, and line strengths are calculated for the multipole (E1, M1, E2, M2, E3, and M3) transitions between the excited [Cd]4f{sup 13}5p{sup 6}nl, [Cd]4f{sup 14}5p{sup 5}nl configurations and the ground [Cd]4f{sup 14}5p{sup 6} state in Er-like W{sup 6+} ion ([Cd]=[Kr]4d{sup 10}5s{sup 2}). In particular, the relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate energies and transition rates for multipole transitions in this hole-particle system. This method is based on the relativistic many-body perturbation theory that agrees with multiconfiguration Dirac-Fock (MCDF) calculations in lowest order, and includes all second-order correlation corrections and corrections from negative-energy states. The calculations start from a [Cd]4f{sup 14}5p{sup 6} Dirac-Fock (DF) potential. First-order perturbation theory is used to obtain intermediate-coupling coefficients, and second-order RMBPT is used to determine the multipole matrix elements needed for calculations of other atomic properties such as line strengths and transition rates. In addition, core multipole polarizability is evaluated in random-phase and DF approximations. The comparison with available data is demonstrated.},
doi = {10.1103/PHYSREVA.84.012511},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}