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A spatially resolved study of ionized regions in galaxies at different ...

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98 3 • IFS <strong>of</strong> a GEHR <strong>in</strong> NGC 6946<br />

complex <strong>in</strong> the liter<strong>at</strong>ure.<br />

The logarithmic N/O r<strong>at</strong>ios found for Knot A, B, and C are -1.25 ± 0.21, -1.23 ± 0.28<br />

and -1.16 ± 0.28 respectively. They po<strong>in</strong>t to a constant value with<strong>in</strong> the errors. It is worth<br />

not<strong>in</strong>g th<strong>at</strong> an analysis <strong>of</strong> the d<strong>at</strong>a via a deriv<strong>at</strong>ion <strong>of</strong> the [Oii] temper<strong>at</strong>ure from t([Oiii])<br />

accord<strong>in</strong>g to Stasińska (1990) models, would provide a N/O r<strong>at</strong>io larger than the directly<br />

derived. An overprediction <strong>of</strong> this temper<strong>at</strong>ure by 1500 K <strong>at</strong> t([Oii]) = 8000K would <strong>in</strong>crease<br />

the N/O r<strong>at</strong>io by 0.25 dex.<br />

F<strong>in</strong>ally, the log(S/O) r<strong>at</strong>ios found for the three knots are -1.75 ± 0.23, -1.73 ± 0.39 and<br />

-1.70 ± 0.37, which are lower by a factor <strong>of</strong> 2.2 as compared with log (S/O) = -1.39, the solar<br />

value (Grevesse and Sauval, 1998). Nevertheless, they are consistent with this value with<strong>in</strong><br />

the large observ<strong>at</strong>ional errors. Both log(N/O) and log(S/O) r<strong>at</strong>ios are very similar to values<br />

found for the high metallicity Hii <strong>regions</strong> analyzed by Castellanos et al. (2002).<br />

The analysis discussed above was possible s<strong>in</strong>ce we could derived temper<strong>at</strong>ures for some<br />

<strong>of</strong> the most important ions. This is not the case <strong>of</strong> Knot D. The calcul<strong>at</strong>ion <strong>of</strong> metallicities<br />

<strong>in</strong> this knot can only be carried out with calibr<strong>at</strong>ions based on the strongest emission l<strong>in</strong>es<br />

because no auroral l<strong>in</strong>es were detected and the direct method cannot be used.<br />

The <strong>different</strong> strong-l<strong>in</strong>e methods for abundance deriv<strong>at</strong>ions, which have been widely<br />

studied <strong>in</strong> the liter<strong>at</strong>ure, are based on the direct calibr<strong>at</strong>ion <strong>of</strong> the rel<strong>at</strong>ive <strong>in</strong>tensity <strong>of</strong> some<br />

bright emission l<strong>in</strong>es aga<strong>in</strong>st the abundance <strong>of</strong> some relevant ions present <strong>in</strong> the nebula. For<br />

the case <strong>of</strong> oxygen, we take the calibr<strong>at</strong>ions studied by Pérez-Montero and Díaz (2005), who<br />

obta<strong>in</strong> <strong>different</strong> uncerta<strong>in</strong>ties for each parameter <strong>in</strong> a sample <strong>of</strong> <strong>ionized</strong> gaseous nebulae with<br />

accur<strong>at</strong>e determ<strong>in</strong><strong>at</strong>ions <strong>of</strong> chemical abundances <strong>in</strong> the whole range <strong>of</strong> metallicity.<br />

We have applied these empirical calibr<strong>at</strong>ors to all the <strong>in</strong>tegr<strong>at</strong>ed spectra, the ones with<br />

auroral l<strong>in</strong>es and knot D, from which no direct abundance determ<strong>in</strong><strong>at</strong>ion has been made.<br />

The reader is referred to Appendix C for the def<strong>in</strong>itions and detailed equ<strong>at</strong>ions <strong>in</strong>volved <strong>in</strong><br />

each <strong>of</strong> the empirical calibr<strong>at</strong>ors used <strong>in</strong> this analysis.<br />

Among the strong-l<strong>in</strong>e parameters available, we have used the O 23 parameter (also known<br />

as R 23 , orig<strong>in</strong>ally def<strong>in</strong>ed by Pagel et al. (1979) and based on [Oii] and [Oiii] strong emission<br />

l<strong>in</strong>es), which is characterised by its double-valued rel<strong>at</strong>ion with metallicity. Accord<strong>in</strong>g to the<br />

values measured <strong>in</strong> other knots, we use the analytic expressions for the McGaugh (1991)<br />

upper branch given by Kobulnicky et al. (1999).<br />

The N2 parameter (def<strong>in</strong>ed by Storchi-Bergmann et al., 1994) is based on the strong<br />

emission l<strong>in</strong>es <strong>of</strong> [Nii]. It rema<strong>in</strong>s s<strong>in</strong>gle-valued up to high metallicities <strong>in</strong> its rel<strong>at</strong>ion to<br />

oxygen abundance, and it is almost <strong>in</strong>dependent <strong>of</strong> redden<strong>in</strong>g and flux calibr<strong>at</strong>ion. We used<br />

the empirical calibr<strong>at</strong>ion <strong>of</strong> this parameter from Denicoló et al. (2002) to derive the oxygen<br />

abundance.<br />

The parameter O3N2, def<strong>in</strong>ed by Allo<strong>in</strong> et al. (1979) depends on strong emission l<strong>in</strong>es <strong>of</strong><br />

[Oiii] and [Nii]. We used the calibr<strong>at</strong>ion due to Pett<strong>in</strong>i and Pagel (2004).<br />

The measurement <strong>of</strong> the [Sii] and [Siii] <strong>in</strong>frared l<strong>in</strong>es allows the use <strong>of</strong> the S 23 parameter,

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