INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS B: ATOMIC, MOLECULAR AND OPTICAL PHYSICS
J. Phys. B: At. Mol. Opt. Phys. 39 (2006) 2145–2158 doi:10.1088/0953-4075/39/9/004
B-spline calculations of oscillator strengths in neutral
argon
Oleg Zatsarinny and Klaus Bartschat
Department of Physics and Astronomy, Drake University, Des Moines, IA 50311, USA
E-mail: oleg zoi@yahoo.com and klaus.bartschat@drake.edu
Received 1 February 2006, in final form 28 March 2006
Published 18 April 2006
Online at stacks.iop.org/JPhysB/39/2145
Abstract
B-spline box-based multi-channel calculations of transition probabilities in
Ar I are reported for energy levels up to n = 12. An individually optimized,
term-dependent set of non-orthogonal valence orbitals is used to account for
the strong term dependence in the one-electron orbitals. Energy levels and
oscillator strengths for transitions from the 3p
6
ground-state configuration as
well as for transitions between excited states have been computed in the Breit–
Pauli approximation. The agreement in the length and velocity gauges of the
transition data and the accuracy of the binding energies are used to estimate
the accuracy of our results, which are also compared with experimental and
other theoretical data. It is shown that the present method can be used for
accurate calculations of oscillator strengths for states with intermediate and
high n-values, for which it is difficult to apply standard multi-configuration
Hartree–Fock methods.
1. Introduction
Transition probabilities in the rare-gas atoms are well known to be important for both
fundamental and practical reasons. The latter include modelling applications in the lighting
and laser industry, plasma processing, and the interpretation of astrophysical data. A wealth
of numerical data exists for the oscillator strengths of the Ar I spectrum. Numerous emission
intensity measurements, performed mostly with stabilized arcs, as well as some lifetime
determinations, have been reported in the literature. Early results may be found in the critical
data compilations by Wiese et al (1969). Most of the work on Ar I has centred on the prominent
red and blue lines, i.e., the 4s–4p and 4s–5p transition arrays, and the transition probabilities
included in the NIST database for these transition arrays have been critically reanalysed
by Wiese et al (1989). More recently, absolute oscillator strengths in noble gases have
been obtained from photoabsorption spectra by Chan et al (1992) and from self-absorption
of resonance radiation by Gibson and Risley (1995) and Ligtenberg et al (1994). Spectra
0953-4075/06/092145+14$30.00 © 2006 IOP Publishing Ltd Printed in the UK 2145