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1. Introduction

Fe IV emission lines are observed in stellar sources, such as hot stars and white dwarfs, (Penston etal. 1983 and Holberg etal. 1994; Vennes etal.\ 1995). Becker & Butler (1995) have modeled non-LTE line formation for Fe IV and synthesized the predominantly UV spectra from hot subdwarfs. According to photoionization models Fe IV is expected to be a dominant ionization stage of iron in nebulae (e.g. Baldwin etal. 1991 and Rubin etal. 1991). However, the Fe IV spectra from H II regions remained elusive until the recent HST observations of the Orion nebula by Rubin etal. (1997), who reported the first detection of Fe IV in the UV [Fe IV] lines at 2836.56 Å arising from the transition tex2html_wrap_inline958, and the blend of tex2html_wrap_inline960 due to tex2html_wrap_inline962. From the [Fe IV] lines and the predicted fluxes from photoionization models, they derive an iron depletion in Orion, relative to solar, of up to factors of 70 - 200. This appears to be excessive; Rubin etal. (1997) suggest the need for improved modeling and a reexamination of the atomic data, especially the electron impact excitation collision strengths used in the analysis.

The only earlier published work on electron impact excitation collision strengths of Fe IV is by Berrington & Pelan (1995) in Paper XII of this series on the Vanadium-like ions. They included the five lowest sextet and quartet LS terms tex2html_wrap_inline968 in a non-relativistic (NR) calculation, and used algebraic recoupling to obtain excitation rate coefficients for transitions between the 12 fine structure levels of the first four terms.

In our earlier study on Fe III (Zhang & Pradhan 1995a) using the NR and Breit-Pauli (BP) close-coupling R-matrix methods, we concluded that the relativistic effects are small for the forbidden transitions between the low-lying levels, and that the resonances and the coupling effects arising from a large coupled-channel wavefunction expansion dominate the collision strengths. Therefore, as described in Zhang (1996, Paper XVIII), we carried out an 83CC NR calculations for Fe III, neglecting the relativistic intermediate coupling effects. Fine-structure collision strengths were then obtained from the LS coupling data by algebraic recoupling using the code STGFJ.

Similarly, for Fe IV we expect the relativistic effects to be small, especially for the forbidden transitions from the ground level to the low-lying even parity levels since there is no fine-structure splitting for the ground term tex2html_wrap_inline970. Before carrying out a large-scale calculation, we made test calculations with the BP R-matrix method (Berrington etal. 1995) using a 16-level target expansion (corresponding to the above five terms) and obtained results similar to those in Paper XII by Berrington & Pelan (1996). These BP calculations, albeit with a small target expansion, showed that the relativistic effects are indeed not important for Fe IV, and also provided the basis for the present calculations, which are much more extensive than those reported earlier in the IP series. Therefore, we have carried out the calculation for Fe IV with a 49-term target expansion (49 CC) using the NR R-matrix method in the close-coupling approximation. Again, the algebraic recoupling method was used to obtain results for a large number of fine-structure transitions. The maxwellian-averaged rate coefficients or effective collision strengths are calculated and tabulated over the temperature range in which Fe IV is most abundant in astrophysical sources. A brief description of the computations and the results are given in the following sections.

The present work is part of an international collaboration known as the IRON Project (Hummer etal. 1993, referred to as Paper I) to obtain accurate electron-impact excitation rates for fine-structure transitions in atomic ions. A full list of the papers in this Atomic Data from the IRON Project series published to-date is given in the references. A complete list of papers including those in press can be found at http://www.am.qub.uk/projects/iron/papers/, where abstracts are also given for each paper. Information on other works by the present authors and their collaborators, including photoionization and recombination of ions of iron and other elements, can be found at http://www-astronomy.mps.ohio-state.edu/tex2html_wrap_inline972pradhan/.


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