The iron abundance in hot central stars of planetary nebulae derived from IUE spectra

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Astron. Astrophys. 348, 940 944 (1999) ASTRONOMY AND ASTROPHYSICS The iron abundance in hot central stars of planetary nebulae derived from IUE spectra J.L. Deetjen, S. Dreizler, T. Rauch, and K. Werner Institut für Astronomie und Astrophysik, Universität Tübingen, Waldhäuser Strasse 64, D-72076 Tübingen, Germany Received 11 June 1999 / Accepted 5 July 1999 Abstract. We present the first attempt to determine the iron abundance in hot central stars of planetary nebulae. We perform an analysis with fully metal-line blanketed NLTE model atmospheres for a sample of ten stars (T eff 70 000 K) for which > high-resolution UV spectra are available from the IUE archive. In all cases lines of Fe vi or Fe vii can be identified. As a general trend, the iron abundance appears to be subsolar by 1 dex, however, the S/N of the IUE spectra is not sufficient to exclude a solar abundance in any specific case. Improved spectroscopy by either FUSE or HST is necessary to verify the possibility of a general iron deficiency in central stars. The suspected deficiency may be the result of gravitational settling in the case of three high-gravity objects. For the other stars with low gravity and high luminosity dust fractionation during the previous AGB phase is a conceivable origin. Key words: stars: abundances stars: atmospheres stars: evolution stars: AGB and post-agb stars: white dwarfs ultraviolet: stars sequent analyses of the H-rich objects revealed T eff, log g, and H:He ratio and the results complement the analyses of other H-rich CSPN performed in numerous previous analyses (see Table 2). Almost no effort has been yet made to analyze metal abundances in the H-rich CSPN. Interesting insight into AGB evolutionary phases may be gained by such analyses, because obvious abundance anomalies exist among stars with otherwise similar atmospheric parameters (Méndez, 1991). Before embarking on such a project and discussing the abundance patterns it is reasonable to obtain information about the primordial metallicity of these objects by analyzing their iron abundance. The reason herefore is that iron is not affected by nuclear processes during previous evolutionary phases. Such an analysis requires UV spectroscopy. As a first step it is mandatory to check, if the IUE Final Archive contains useful data. It is the aim of this paper to exploit that archive exhaustively in order to identify and analyze quantitatively iron lines in hot central stars. 2. Sample selection and IUE data reduction 1. Introduction The continuing spectroscopic study of central stars of planetary nebulae (CSPN) is motivated by two observational facts which reveal our incomplete understanding of post-agb stellar evolution. The first concerns the mere existence of hydrogen-deficient objects which comprise the spectroscopic types [WC] and PG 1159. The second concerns the apparent lack of hydrogenrich CSPN at the hot end of the white dwarf cooling sequence, suggesting that during this stage all H-rich objects become H- deficient. The first problem initialized an almost complete analysis of all known H-deficient post-agb stars, resulting in accurate determinations of the effective temperature (T eff ) and surface gravity (g), as well as the abundance of the main atmospheric constituents (He, C, O) and in some cases trace of elements (H, N, Ne). The second problem could be solved by the systematic search for (pre-) white dwarf central stars. Sub- Send offprint requests to: J.L. Deetjen Based on observations with the International Ultraviolet Explorer (IUE) satellite Correspondence to: deetjen@astro.uni-tuebingen.de Our sample selection started from a CSPN compilation by Méndez (1991) and we complemented his list of H-rich objects with several objects dealt with in the more recent literature (e.g. see Table 2). For these stars we checked the IUE archive for high resolution SWP spectra and found data for 27 H-rich CSPN. From this sample those objects were excluded, which have high mass-loss rates, i.e., those showing Of-type optical spectra and those with extraordinarily strong P Cygni resonance line profiles in the UV. Thereby the final sample consisted of ten stars, which can be analyzed reliably with our static model atmospheres. All program stars have T eff > 70 000 K. Fig. 1 shows their position in the log T eff log g-diagram and Table 1 summarizes their atmospheric parameters. The SWP spectra were extracted from the IUE Final Archive and subject to several reduction steps before comparison with model spectra. These steps comprise the assembly of single Echelle orders in order to obtain a complete spectrum in the 1200 1600 Å range; elimination of the strongest interstellar absorption lines by Voigt profile fitting (Lyα and Si ii lines); correction for radial velocity; normalization of the spectra. The last step is rather delicate. Firstly the ripple correction for the Echelle

J.L. Deetjen et al.: The iron abundance in hot central stars of planetary nebulae derived from IUE spectra 941 Table 1. The program stars and their atmospheric parameters. Values for T eff [K], log g [cm s 2 ], and helium abundance were taken from literature. Columns 5 and 6 list our results for the Fe abundance and the H i column density along the line of sight as derived from the Lyα profile; the references are listed in Table 2 PN T eff log g n He/n He log nfe/nfe nh i [cm 2 ] references SWP numbers of co-added spectra Abell 36 93 000 5.3 1.5 1.3 1.9 10 19 4, 5, 8, 9 16478, 38132, 47814, 47815 LSE 125 85 000 5.1 3.0 10 19 2, 5 30269 LSS 1362 100 000 1.6 10 19 3, 4, 5, 8 19830 NGC 1360 110 000 3.0 10 18 1, 2, 4, 5, 8, 10 55902, 56037, 56038 NGC 1535 70 000 4.6 1.2 1.4 10 19 1, 2, 4, 5, 8 56065, 56066 NGC 4361 82 000 1.3 10 18 1, 2, 4, 5, 8, 9 20440 NGC 6853 99 000 6.8 3.0 10 18 5, 7, 8 18340 NGC 7009 82 000 4.8 1.5 10 19 2, 4, 5, 8 05174, 08580, 08680, 23383 NGC 7293 107 000 7.0 10 18 4, 9 19859, 48055, 48063 S 216 85 000 6.9 0.1 10 18 4, 6, 7, 8 56071, 56072 5 4.5 NGC 1535 NGC 7009 LSE 125 Abell 36 LSS 1362 NGC 4361 Flux [10 11 erg/cm 2 s Å] 4 3 2 1 log g [cms -2 ] 0.940 0.836 0.605 65 46 NGC 1360 0 1200 1300 1400 1500 Fig. 2. Calculated continuum of a typical co-added IUE spectrum 6.5 Table 2. References in Table 1 7.0 NGC 7293 NGC 6853 S 216 1 Méndez et al. (1981) 2 Méndez et al. (1988) 3 Heber et al. (1988) 4 Feibelman & Bruhweiler (1990) 5 Méndez (1991) 6 Tweedy & Napiwotzki (1992) 7 Napiwotzki (1993) 8 Tweedy (1993) 9 Quigley et al. (1993) 10 Hoare et al. (1996) 7.5 5.2 5.1 4.9 4.8 log T eff [K] Fig. 1. Location of the program stars in the log T eff log g diagram compared with post-agb evolutionary tracks (Schönberner, 1983; Blöcker & Schönberner, 1990) for H-burning stars with different remnant masses (in M ) as indicated. orders in the archival data is far from perfect (see Fig. 2) and has to be corrected. Secondly, fixing the continuum is a rather subjective procedure and thus the major error source for the quantitative analysis, because of the generally high noise level in the spectra. To determine the continuum we smoothed the spectrum with a median filter of 2 Å width, followed by a convolution with a Gaussian profile of 2 Å FWHM. This method is inapplicable in regions with P Cygni profiles and the continuum has to be determined manually. Furthermore the determined continuum around deep ISM lines is too low and has to be raised manually. 3. Model atmospheres We have calculated a grid of plane-parallel non-lte model atmospheres (Fig. 3) in radiative and hydrostatic equilibrium. The computer code is based on the Accelerated Lambda Iteration method (Werner & Husfeld, 1985; Werner, 1986) and it can handle the line blanketing of iron group elements by a statistical approach using superlevels and superlines with an opacity sampling technique (Anderson, 1985; Dreizler & Werner, 1993). The latest version of the code and a detailed description of the numerical method can be found in Werner & Dreizler (1999). Our model atmospheres include the CNO elements as well as iron and nickel self-consistently, i.e. their back-reaction on the atmospheric structure is accounted for. In essence, they are very

942 J.L. Deetjen et al.: The iron abundance in hot central stars of planetary nebulae derived from IUE spectra log g [cgs] 4 5 6 7 NGC 1360 NGC 7293 Abell 36 LSE 125 LSS 1362 NGC 6853 NGC 7009 NGC 4361 S 216 NGC 1535 8 130 120 110 100 90 80 70 60 T eff [1000 K] Fig. 3. Distribution of the analyzed CSPN ( ) and models ( ) inthe T eff - log g - plane. For each point of the grid spectra for eight different Fe and Ni abundances have been calculated N(FeX) / N(Fe) 0-1 -2-3 -4-5 Fe IX Fe VIII Fe VII Fe VI -8-6 -4-2 0 log m [ g cm -2 ] Fig. 4. Ionization structure of iron in a model atmosphere with T eff = 110 000 K, log g = and solar Fe abundance. Note particularly the relative occupation of Fe vii and Fe viii in the deeper layers of the atmosphere where the iron lines are formed (log m = 2...0) similar to the models described in detail by Haas et al. (1996); Haas (1997), so we restrict ourselves here to a summary of the model atoms in Table 3. The main extension of these models refers to a detailed model atom for Fe viii. This turned out to be essential in order to reliably compute Fe vii lines, because the relative occupation of both ionization stages sensitively depends on the detailed treatment of their respective level populations via ionization and recombination processes. As an example, the iron ionization structure in a typical model atmosphere is shown in Fig. 4. 4. Results and discussion We derived our results with two independent methods. First we compared the observed and theoretical spectra by eye (Fig. 5), second a χ 2 -test has been performed (Fig. 6). To get more reliable results, the χ 2 red has been computed only around strong iron lines excluding known ISM lines. As a general trend, the Table 3. Summary of model atoms used in our model atmosphere calculations. Numbers in brackets denote individual levels and lines used in the statistical NLTE line blanketing approach for iron and nickel. The model atom for each chemical element is closed by a single level representing the highest ionization stage (not listed explicitly) element ion NLTE levels lines H i 10 36 He i 5 3 ii 10 36 C iii 6 4 iv 4 1 N iv 6 4 v 4 1 O iv 1 0 v 6 4 vi 4 1 Fe iv 7 (6 472) 25 (1 027 793) v 7 (6 179) 25 (793 718) vi 8 (3 137) 33 (340 132) vii 9 (1 195) 39 (86 504) viii 7 (310) 27 (8 724) Ni iv 7 (5 514) 25 (949 506) v 7 (5 960) 22 (1 006 189) vi 7 (9 988) 22 (1 110 584) vii 7 (6 686) 18 (688 355) viii 6 (3 600) 20 (553 549) total 135 (49 041) 346 (6 565 054) iron abundance appears to be subsolar by 1 dex with both methods (see Table 1). However, the S/N of the IUE spectra is not sufficient to exclude a solar abundance in any specific case. We cannot identify nickel lines for certain, which correspond to an upper limit of a solar nickel abundance. Ni v lines have been detected in other central stars and sdo stars by Schönberner & Drilling (1985), however, these stars have effective temperatures which are lower than those of our objects. For three high-gravity objects in the sample the suspected iron deficiency may be the result of gravitational settling. For the other stars of the sample with low gravity and high luminosity another explanation must be found since mass loss efficiently suppresses gravitational settling (Unglaub & Bues, 1998). Following suggestions in the literature (Lambert et al., 1988; Venn & Lambert, 1990; Bond, 1991; Van Winckel et al., 1992), the iron abundance in these stars might not be primordial, but the result of chemical fractionation through dust formation and subsequent loss due to stellar wind during previous AGB phases. Therefore improved spectroscopy either by FUSE or HST is necessary to confirm or reject the possibility of a general Fe deficiency in these central stars. Furthermore, the determination of the abundance of CNO-elements is desirable in order to get a better understanding of the chemical evolution of these stars. Our study suggests that iron is not necessarily a suitable tracer to determine the primordial metallicity. Alternatively one

J.L. Deetjen et al.: The iron abundance in hot central stars of planetary nebulae derived from IUE spectra 943 a relative flux 0.8 0.6 0.4 0.2 b c gf value d 1265 1270 1275 1280 1285 1290 1295 1300 a relative flux 0.8 0.6 0.4 b gf value log N Fe / N Fesolar 0.2 c d 1220 1230 1240 1250 1260-2 1 12.0 8.0 log N Fe / N Fesolar - Fig. 5. Details from fits to the iron line spectrum of two central stars. Top: S 216; T eff = 90 000 K, log g = 7.0; Bottom: NGC 1360; T eff = 110 000 K, log g =. Models (dotted): a solar Fe and Ni; b dex subsolar Fe and Ni; c comparison of both models; d strong Fe vi and Fe vii lines are marked. 8.0 12.0 - - -1.5 100 105 110 115 120 T eff [1000 K] -1.5 5.6 5.8 6.2 6.4 log g Fig. 6. Contour plot of the χ 2 test for the spectrum of NGC 1360. In the left plot the χ 2 red values for those models with log g at and T eff around 110 000 K (40=8 5 models, see Fig. 3) are shown, whereas in the right plot T eff remains fixed and log g varies. The high χ 2 values (> 5) are due to the low S/N level and the imperfect normalization (see Fig. 2). As a general trend, the χ 2 test favors models with subsolar iron abundance

944 J.L. Deetjen et al.: The iron abundance in hot central stars of planetary nebulae derived from IUE spectra may use the S or Zn abundance to obtain reliable information (Van Winckel et al., 1992). The abundance of both elements is not affected by nuclear processes during previous evolutionary phases and both elements do not tend to dust formation as iron does (Habing, 1996). Due to the lack of detailed atomic data for Zn, one has to concentrate on the S lines in the FUV and UV region. This emphasizes the need for improved spectroscopic data to solve these questions. Acknowledgements. We thank S. Haas for helpful discussions and for providing his original version of the iron cross-section sampling software. UV data analysis in Tübingen is supported by the DLR under grants 50 QV 97054 and 50 OR 97055. References Anderson L.S., 1985, ApJ 298, 848 Blöcker T., Schönberner D., 1990, A&A 240, L11 Bond H.E., 1991, In: Michaud G., Tutukov A. (eds.) 1991, Evolution of Stars: The Photospheric Abundance Connection. IAU Symp. 145, Kluwer, Dordrecht, p. 341 Dreizler S., Werner K., 1993, A&A 278, 199 Feibelman W.A., Bruhweiler F.C., 1990, ApJ 357, 548 Haas S., 1997, Dissertation, Universität Erlangen-Nürnberg Haas S., Dreizler S., Heber U., et al., 1996, A&A 311, 669 Habing H.J., 1996, A&AR 7, 97 Heber U., Werner K., Drilling J.S., 1988, A&A 194, 223 Hoare M.G., Drake J.J., Werner K., Dreizler S., 1996, MNRAS 283, 830 Lambert D.L., Hinkle K.H., Luck R.E., 1988, ApJ 333, 917 Méndez R.H., 1991, In: Michaud G., Tutukov A. (eds.) Evolution of Stars: The Photospheric Abundance Connection. IAU Symp. 145, Kluwer, Dordrecht, p. 375 Méndez R.H., Kudritzki R.P., Gruschinske J., Simon K.P., 1981, A&A 101, 323 Méndez R.H., Kudritzki R.P., Herrero A., et al., 1988, A&A 190, 113 Napiwotzki R., 1993, Dissertation, Universität Kiel Quigley M.F., Bruhweiler F.C., Feibelman W., 1993, BAAS 25, 1368 Schönberner D., 1983, ApJ 272, 708 Schönberner D., Drilling J.S., 1985, ApJ 290, L49 Tweedy R.W., 1993, MNRAS 260, 855 Tweedy R.W., Napiwotzki R., 1992, MNRAS 259, 315 Unglaub K., Bues I., 1998, A&A 338, 75 Van Winckel H., Mathis J.S., Waelkens C., 1992, Nat 356, 500 Venn K.A., Lambert D.L., 1990, ApJ 363, 234 Werner K., 1986, A&A 161, 177 Werner K., Dreizler S., 1999, The Classical Stellar Atmosphere Problem. In: Riffert H., Werner K. (eds.) Computational Astrophysics. J. Comp. Appl. Math. in press Werner K., Husfeld D., 1985, A&A 148, 417