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

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3.4. Results 91<br />

PPak-field Knot A Knot B Knot C<br />

He + /H + (λ4471) · · · 0.079 ± 0.010 · · · · · ·<br />

He + /H + (λ5876) 0.082 ± 0.007 0.083 ± 0.004 0.075 ± 0.010 0.094 ± 0.009<br />

He + /H + (λ6678) 0.074 ± 0.011 0.078 ± 0.005 0.070 ± 0.018 0.060 ± 0.007<br />

He + /H + (λ7065) 0.084 ± 0.018 0.079 ± 0.007 0.110 ± 0.038 0.074 ± 0.016<br />

He + /H + (Adopted) 0.080 ± 0.007 0.080 ± 0.004 0.076 ± 0.035 0.073 ± 0.025<br />

He 2+ /H + (λ4686) 0.0008 ± 0.0003 0.0005 ± 0.0002 · · · 0.0003 ± 0.0001<br />

(He/H) 0.080 ± 0.007 0.081 ± 0.004 · · · 0.073 ± 0.025<br />

Table 3.8: Ionic and total chemical abundances for helium.<br />

He<br />

H = He+ + He 2+<br />

H +<br />

The results obta<strong>in</strong>ed for each l<strong>in</strong>e and their correspond<strong>in</strong>g errors are presented <strong>in</strong> Table<br />

3.8, along with the adopted value for He + /H + (a weighted average <strong>of</strong> the values deduced<br />

from each <strong>of</strong> the l<strong>in</strong>es).<br />

Ionic and total chemical abundances from forbidden l<strong>in</strong>es<br />

The oxygen ionic abundance r<strong>at</strong>ios, O + /H + and O 2+ /H + , were derived from the [Oii]<br />

λλ 3727,3729 Å and [Oiii] λλ 4959, 5007 Å l<strong>in</strong>es, respectively us<strong>in</strong>g the appropri<strong>at</strong>e electron<br />

temper<strong>at</strong>ure for each ion. The total abundance <strong>of</strong> oxygen was derived assum<strong>in</strong>g<br />

O<br />

H ≈ O+ + O 2+<br />

H +<br />

Regard<strong>in</strong>g the sulphur, we derived S + abundances from the fluxes <strong>of</strong> the [Sii] emission<br />

l<strong>in</strong>es <strong>at</strong> λλ 6717, 6731 Å assum<strong>in</strong>g th<strong>at</strong> T([Sii]) ≈ T([Oii]); S 2+ abundances have been derived<br />

from the fluxes <strong>of</strong> the near-IR [Siii] λ 9069 l<strong>in</strong>e and the directly measured T([Siii]) for knot<br />

A and its estim<strong>at</strong>ed value for the other knots. The total sulphur abundance was calcul<strong>at</strong>ed<br />

us<strong>in</strong>g an ioniz<strong>at</strong>ion correction factor (ICF) for S + +S 2+ accord<strong>in</strong>g to Barker (1980) formula,<br />

which is based on the photoioniz<strong>at</strong>ion models <strong>of</strong> Stasińska (1978):<br />

ICF (S + + S 2+ ) ≈<br />

[ ( ) O<br />

2+ α ] −1/α<br />

1 −<br />

O + + O 2+<br />

where α = 2.5 provides the best fit to the scarce observ<strong>at</strong>ional d<strong>at</strong>a on S 3+ abundances<br />

(Pérez-Montero et al., 2006). Tak<strong>in</strong>g this ICF as a function <strong>of</strong> the r<strong>at</strong>io O 2+ /O <strong>in</strong>stead <strong>of</strong><br />

O + /O reduces the propag<strong>at</strong>ed error for this quantity.<br />

The ionic abundance <strong>of</strong> nitrogen, N + /H + , was derived from the <strong>in</strong>tensities <strong>of</strong> the λλ 6548,

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