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TRACING ABUNDANCES IN GALAXIES WITH THE SPITZER ...

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1.3 What We Can Learn from Spectra of Photoionization<br />

Regions<br />

Ratios of hydrogen recombination line fluxes from photoionization regions deter-<br />

mine the extinction toward them. Ratios of emission line fluxes from such regions<br />

aid in the determination of the physical conditions there, such as the electron<br />

density (Ne) and temperature (Te), the chemical composition of the gas, and the<br />

properties of the ionizing radiation field. Additionally, features in the continua of<br />

spectra identify the kinds of dust present there. An extensive body of literature<br />

covers this topic, and this discussion is based on Ferland (2003) and Osterbrock<br />

(1989).<br />

1.3.1 Extinction<br />

We derive the extinction toward these regions in two ways. Both involve comparing<br />

the observed Hβ line flux with a predicted actual Hβ line flux (the flux from the<br />

Hβ line if there were no extinction) in order to infer the logarithmic extinction at<br />

Hβ, CHβ:<br />

CHβ = log10<br />

� �<br />

FHβ actual<br />

FHβ observed<br />

In the first method, we predict the actual optical Hβ line flux from observed in-<br />

frared H I line fluxes, which will give a value close to the actual Hβ flux because<br />

the small particles which cause the extinction have little effect on the longer wave-<br />

length infrared light. In order to predict the actual Hβ flux from an infrared H I<br />

line flux, we adopt theoretical ratios of hydrogen recombination lines (e.g. Hummer<br />

& Storey, 1987) and assume Case B recombination (which assumes a large optical<br />

depth in the H I lines and thus the line photons are scattered multiple times and<br />

converted into photons with lower energies before escaping the nebula) for a gas<br />

13

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