a Study of Electron Densities in Planetary Nebulae

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In this work, we made a study of the alteration along the time of the calibrations with the electron density, Ne, of the line ratios [OII]λ3729/λ3726, [SII]λ6716/λ6731, [ClIII]λ5517/λ5537 and [ArIV]λ4711/λ4740 in function of the evolution of the atomic parameters. In this way, we evaluated the degree of uncertainty in each one of these calibrations. We observed that there was little variation recently for the [SII] and for the [OII]. For the [ClIII] there was a significant change in the region of highest densities and for the[ArIV] the variation was more accentuated that for other line ratios. To evaluate the precision of the different methods commonly presented in literature, we also made a comparison among the results obtained through the numeric solution of the five-level atom, the analytic solution of the three-level atom and the approximate analytic solution of the five-level atom. Using the line ratios [OII]λ3729/λ3726, [SII]λ6716/λ6731, [ClIII]λ5517/λ5537 , [ArIV]λ4711/λ4740, CIII]λ1906/λ1909 and [NI]λ5202/λ5199 extracted from the catalogue of Kaler et al. (PASP 109, 289, 1997), we compared the estimates of density for a significant sample de nebulae planetary. We verified that Ne[ArIV] < Ne[ClIII] > Ne[NI] ≈ Ne[OII] < Ne[SII]. These differences can be attribute to errors on the atomic parameters used, the adoption of a same electron temperature for different ions and, what seems to be more probable, to internal variations of density in the studied nebulae.

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