Eur. Phys. J. D 47, 7-10 (2008)
https://doi.org/10.1140/epjd/e2008-00036-0

Stark broadening of isolated lines: calculation of the diagonal multiplet factor for complex configurations (n₁l₁ⁿ n₂l₂^m n₃l₃^p)

¹ Groupe de Recherche en Physique Atomique et Astrophysique, Faculté des Sciences de Bizerte, 7021 Zarzouna, Tunisia
² Groupe de Recherche en Physique Atomique et Astrophysique, Institut National des Sciences Appliqu ées et de Technologie, BP 676, Centre Urbain Nord, 1080 Tunis Cedex, Tunisia
³ Laboratoire d'Étude du Rayonnement et de la Matière en Astrophysique, Observatoire de Paris, Section de Meudon, UMR CNRS 8112, Bâtiment 18, 5 place Jules Janssen, 92195 Meudon Cedex, France

Corresponding author: ^a WalidFoued.Mahmoudi@fst.rnu.tn

Received: 5 November 2007
Revised: 24 January 2008
Published online: 29 February 2008

Abstract

Owing to the increasing sensitivity of detectors, accurate line profiles are needed for accurate stellar atmospheres modelling and for laboratory and technological plasmas as well. So, Stark broadening parameters of isolated lines of complex atoms and ions within the impact and quasistatic approximation are needed, even if the atomic abundance of the considered element is low. Angular factors of the diagonal line strength entering the quadrupole term appearing in the semi-classical expression of the width of line broadened by electron or ion perturbers, are needed. The aim of this paper is to extend the previous calculations of this diagonal multiplet factor which were obtained for configurations of the type lⁿ and l₁ⁿl₂^m to more complex configurations in LS coupling. To study the Stark broadening of isolated lines in the impact and quasistatic approximation, we use the semi-classical-perturbation treatment, including both dipole and quadrupole contribution in the expansion of the electrostatic interaction between the optical electron and the perturber. We also use the Fano-Racah algebra. Angular factors of the diagonal line strength entering the quadrupole term appearing in the semi-classical expression of the width of line broadened by electron or ion perturbers, are calculated. New diagonal multiplet factor formulae for more complicated configurations such as (n₁l₁ⁿ(L_nS_n)n₂l₂^m(L_mS_m)n₃l₃^p(L_pS_p)) are provided. These formulae can enter the computer Stark semi-classical perturbation codes.