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

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164 Appendix B<br />

Sulphur<br />

As <strong>in</strong> the case <strong>of</strong> [Oii], the temper<strong>at</strong>ure <strong>of</strong> [Sii] depends on density (np 3 ions). The r<strong>at</strong>io<br />

used to estim<strong>at</strong>e t([Sii]) is<br />

R ′ S2 =<br />

I(6717Å) + I(6731Å)<br />

I(4068Å) + I(4076Å)<br />

If one <strong>of</strong> the [Sii] auroral l<strong>in</strong>es cannot be measured, the theoretical r<strong>at</strong>io can be used,<br />

I(4068Å) ≈ 3 · I(4067Å). Then, the temper<strong>at</strong>ure is calcul<strong>at</strong>ed<br />

where<br />

t([Sii]) = a 0 (n) + a 1 (n) · R ′ S2 + a 2(n)<br />

R ′ S2<br />

+ a 3(n)<br />

R ′ S2<br />

a 0 (n) = 1.92 − 0.0017 · n − 0.848<br />

n<br />

a 1 (n) = −0.0375 − 0.0185<br />

n<br />

a 2 (n) = −14.15 + 0.019 · n − 10.4<br />

n<br />

a 3 (n) = −105.64 + 0.019 · n − 58.52<br />

n<br />

Direct measurements <strong>of</strong> the [Siii] temper<strong>at</strong>ure have been possible with the availability <strong>of</strong><br />

the collisional l<strong>in</strong>es <strong>in</strong> the near IR. The r<strong>at</strong>io is:<br />

R S3 =<br />

I(9069Å) + I(9532Å)<br />

I(6312Å)<br />

This expression can be simplified <strong>in</strong> case <strong>of</strong> lack<strong>in</strong>g one <strong>of</strong> the near IR l<strong>in</strong>es, us<strong>in</strong>g the<br />

theoretical r<strong>at</strong>io I(9532Å) ≈ 2.44 · I(9069Å). The temper<strong>at</strong>ure can be calcul<strong>at</strong>ed by the fit:<br />

t([Siii]) = R S3 + 36.4<br />

1.8 · R S3 − 3.01<br />

B.2 Ionic abundances<br />

The derived fitt<strong>in</strong>gs to the ionic task results follow<strong>in</strong>g the functional form given by Pagel<br />

et al. (1992) for each element are listed below. In all rel<strong>at</strong>ions t denotes the appropri<strong>at</strong>e l<strong>in</strong>e<br />

electron temper<strong>at</strong>ure, <strong>in</strong> units <strong>of</strong> 10 4 K, correspond<strong>in</strong>g to the assumed ioniz<strong>at</strong>ion structure,<br />

and n the electron density.

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