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TRACING ABUNDANCES IN GALAXIES WITH THE SPITZER ...

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the extinctions, unfortunately we are unable to determine accurate abundances<br />

with respect to hydrogen, although we describe the process below. However, we<br />

can determine more accurate abundance ratios because in such ratios the amount<br />

of hydrogen cancels out.<br />

4.3 Data Analysis<br />

4.3.1 Extinction Correction<br />

We adopt extinctions for M51 H II regions from van der Hulst et al. (1988). They<br />

used 6 cm and 20 cm observations to determine the thermal radio emission and<br />

then determined the extinction from the Hα to radio ratio. Depending on the size<br />

of the H II region, they used apertures from 12 ′′ to 21 ′′ in diameter. Additionally,<br />

they did 9 ′′ -aperture optical spectrophotometry on several H II regions and thus<br />

also determined Balmer-decrement extinctions for a subset of H II regions with<br />

Hα/radio extinctions. Table 4.1 lists the Av values we adopt for determining<br />

abundances.<br />

4.3.2 Electron Temperature and Density<br />

Table 4.1 also lists the temperatures for each region adopted for determining abun-<br />

dances. They are from Bresolin et al. (2004). The Te(Ne II, S III) is the tempera-<br />

ture we adopt for determining abundances from Ne II and S III line fluxes; similarly,<br />

the Te(Ne III, S IV) is the temperature we adopt for determining abundances from<br />

Ne III and S IV line fluxes. The Te(Ne II, S III) we adopt is equal to Te(S +2 , Ar +2 )<br />

from Bresolin et al. (2004) because the ionization potential of Ne II (21.56eV) is<br />

close to that of S III (23.34eV) and Ar III (27.63eV). Similarly, the Te(Ne III,<br />

105

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