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

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B • Physical conditions <strong>of</strong> the gas and abundances 163<br />

B.1.2 Temper<strong>at</strong>ure<br />

The follow<strong>in</strong>g expressions are valid <strong>in</strong> the temper<strong>at</strong>ure range between 7000 and 23000 K<br />

and the errors <strong>in</strong>volved <strong>in</strong> the fit are always lower than observ<strong>at</strong>ional errors by factors between<br />

5 and 10.<br />

Oxygen<br />

[Oiii] temper<strong>at</strong>ure is calcul<strong>at</strong>ed from the r<strong>at</strong>io:<br />

R O3 =<br />

I(4959Å) + I(5007Å)<br />

I(4363Å)<br />

The fit, as for the rest <strong>of</strong> the np 2 ions, is <strong>in</strong>dependent <strong>of</strong> the electron density:<br />

t([Oiii]) = 0.8254 − 0.0002415 R O3 + 47.77<br />

R O3<br />

For [Oii] the r<strong>at</strong>io for the electron temper<strong>at</strong>ure is calcul<strong>at</strong>ed from:<br />

R O2 =<br />

I(3727Å) + I(3729Å)<br />

I(7319Å) + I(7330Å)<br />

The [Oii] λλ 7319,7330 Å l<strong>in</strong>es have a contribution from direct recomb<strong>in</strong><strong>at</strong>ion which <strong>in</strong>creases<br />

with temper<strong>at</strong>ure. Such emission, however, can be quantified and corrected for as:<br />

I R (7319 + 7330)<br />

I(Hβ)<br />

0.44 O2+<br />

= 9.36 t<br />

H +<br />

where t denotes the electron temper<strong>at</strong>ure <strong>in</strong> units <strong>of</strong> 10 4 K (Liu et al., 2000). This expression<br />

is valid only <strong>in</strong> the range <strong>of</strong> temper<strong>at</strong>ures between 5000 and 10000 K.<br />

The r<strong>at</strong>io <strong>of</strong> the [Oii] l<strong>in</strong>es depends on the electron density:<br />

where the coefficients are respectively:<br />

t([Oii]) = a 0 (n) + a 1 (n) · R O2 + a 2(n)<br />

R O2<br />

a 0 (n) = 0.23 − 0.0005 · n − 0.17<br />

n<br />

a 1 (n) = 0.0017 − 0.000009 · n − 0.0064<br />

n<br />

a 2 (n) = 38.3 − 0.021 · n − 16.4<br />

n

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