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PhD Thesis (PDF) - Department of Astronomy - University of Virginia

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tracted the spectrum from an elliptical annulus between one and three effective radii.<br />

We first fitted this region using the source best-fit model from the inner one effec-<br />

tive radius region, which provided an acceptable fit (row 5). When we allowed the<br />

power-law index to vary (row 6), we found a better fit (∆χ 2 = −2.9 with 1 less d<strong>of</strong>);<br />

however, the two values <strong>of</strong> Γ agree their 90% confidence limits. Freeing the absorp-<br />

tion also yielded a better fit, (∆χ 2 = −1.9 with one fewer d<strong>of</strong>); however, Galactic<br />

absorption was allowed at the 90% confidence limit.<br />

We also attempted to fit the collective spectrum <strong>of</strong> all <strong>of</strong> the resolved sources on<br />

the S3 chip, which had 2660 net counts. Again, freeing the power-law index from the<br />

best-fit value for the inner effective radii produced a better fit; however, the power-law<br />

index is still consistent with the best-fit 90% confidence limit (rows 8 and 9). Freeing<br />

the absorbing column did not produce a better fit (rows 9 and 10). We find no clear<br />

trend between radius and spectral fit. This is consistent with results from a study <strong>of</strong><br />

the sources in 15 galaxies by Irwin et al. (2003).<br />

NGC 4382<br />

For NGC 4382, the lower number <strong>of</strong> sources and counts required using the inner<br />

two effective radii to attain 921 net counts in the spectrum. For this region, the<br />

adopted best-fit model had a power-law index <strong>of</strong> 1.52 with the Galactic absorption<br />

column <strong>of</strong> 2.45 × 10 20 cm −2 (Table 2.4, row 3). Neither using a bremsstrahlung model<br />

(row 1) nor freeing the absorbing column (rows 2 and 4) gave a better fit. Again, we<br />

remark that although hardness ratios indicate that each source is probably fitted by<br />

a more complex model than a power-law and Galactic absorption, the summation <strong>of</strong><br />

counts from objects with different emission properties can be well fitted with a single<br />

power-law and Galactic absorption. The best-fit indicated no excess absorption when<br />

48

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