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Stellar parameters, stellar atmospheres, atomic data and line selection

Abundances were determined using the exact curve-of-growth technique. For this method, we measured the equivalent widths, , of Mn absorption lines in the programme spectra and compared these values to the calculated curves of growth for each line, which were generated (assuming LTE) by our spectrum-synthesis code UCLSYN (Smith & Dworetsky [1988]; Smith [1992]). The necessary atmospheric parameters given in Table 1 - , , and microturbulence () - were taken from SD93, except for 112 Her where we used the values given by Ryabchikova et al. ([1996]). The values of are taken from Dworetsky, Jomaron & Smith ([1998]). In the cases of the five binaries with double spectra, we adopted the light ratios cited in Section 2 in order to correct for dilution effects using the BINSYN code (Smalley [1996]), an extension of UCLSYN. We used a combined grid of ATLAS9 model atmospheres: the 2 km s grid of Kurucz [1993], and the COLK95 grid of Castelli et al. [1997] for cooler stars, interpolating to produce a model at the chosen and of each star.

  
Table 1: Stellar Parameters. Microturbulent velocity and projected equatorial rotational velocity in km s

There appears to be no other published data on laboratory oscillator strengths for visible-region MnII lines except for Warner [1967a]. We adopt the calculations of Kurucz [1990] taken from CD23. If we adjust the Warner -values by the prescription of Smith [1976], we find that the Kurucz calculations tend to give values about 0.4 dex smaller for our lines from higher excitation levels. It is not possible to use one set of data to `check' the other; a modern set of measured absolute oscillator strengths for Mn II would be required. For the Mn I lines, we adopt the oscillator strengths of Martin, Fuhr & Wiese [1988], which are the same as those given in CD23. For both neutral and ionised Mn we adopt given by Kurucz but use UCLSYN's internal algorithms to estimate the Stark damping parameter for each line. Van der Waals contributions to line broadening are expected to be small; a suitable approximation by Warner [1967b] was used.

Rather than measuring many tens of lines, of which some may be partially blended or have poorly known gf values, relying on statistical averaging to give a valid result which may nonetheless be biased, and rather than fully synthesizing the profiles of many lines to mitigate the blending problem, the approach followed here was to find a small sample of Mn lines, all of which could be shown to be unblended over a wide range of and composition. A search for such lines was carried out by Allen [1998]. The following lines were selected as being appropriate for a high-accuracy curve-of-growth analysis: Mn II 4478, 4365, 4363, 4326, 4206, 3917; Mn I 4030 and 4034. Allen used the criteria that lines should be strong enough to appear in most HgMn stars, be blend-free, and have well-determined atomic parameters. However, Allen noted that 4206 systematically produced anomalously large abundances; the severity of the anomaly was proportional to the line strength.

  
Figure 1: The six Mn lines used in this abundance analysis. These spectra are of HR 7361. Histograms represent observations; continuous lines represent synthetic spectra.



next up previous
Next: Equivalent widths and abundance results Up: Abundance determination Previous: Abundance determination