Partial and total dielectronic recombination rate coefficients for W73+ to W56+

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Dielectronic recombination (DR) is a key atomic process which affects the spectroscopic diagnostic modelling of tungsten, most of whose ionization stages will be found somewhere in the ITER fusion reactor: in the edge, divertor, or core plasma. Accurate DR data is sparse while complete DR coverage is unsophisticated (e.g. average-atom or Burgess General Formula) as illustrated by the large uncertainties which currently exist in the tungsten ionization balance. To this end, we present a series of partial final-state-resolved and total DR rate coefficients for W$^{73+}$ to W$^{56+}$ Tungsten ions. This is part of a wider effort within {\it The Tungsten Project} to calculate accurate dielectronic recombination rate coefficients for the tungsten isonuclear sequence for use in collisional-radiative modelling of finite-density tokamak plasmas. The recombination rate coefficients have been calculated with {\sc autostructure} using kappa-averaged relativistic wavefunctions in level resolution (intermediate coupling) and configuration resolution (configuration average). The results are available from OPEN-ADAS according to the {\it adf09} and {\it adf48} standard formats. Comparison with previous calculations of total DR rate coefficients for W$^{63+}$ and W$^{56+}$ yield agreement to within 20\% and 10\%, respectively, at peak temperature. It is also seen that the J\"{u}ttner correction to the Maxwell distribution has a significant effect on the ionization balance of tungsten at the highest charge states, changing both the peak abundance temperatures and the ionization fractions of several ions.
Original languageEnglish
Article number042703
Number of pages36
JournalPhysical Review A
Issue number4
Publication statusPublished - 7 Apr 2016


  • dielectronic recombination
  • atomic processes
  • tungsten ions


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