A spatially resolved study of ionized regions in galaxies at different ...
A spatially resolved study of ionized regions in galaxies at different ... A spatially resolved study of ionized regions in galaxies at different ...
22 2 • The star formation history of NGC 5471 Figure 2.6: Continuum free Hα image of NGC 5471. The circular aperture of 15 ′′ where the integrated photometry was performed to obtain the total flux is overplotted. The ellipse indicating the core of the region is drawn as reference. others are extrinsic and depend on the properties of the interstellar matter (reddening and extinction law). CHORIZOS can handle SED families for stellar atmospheres and clusters (Starburst99; Leitherer et al., 1999) and uses χ 2 minimization to find all models compatible with the observed data in a (2 intrinsic +2 extrinsic)-dimensional parameter space. It includes a wide list of filters for different systems (Johnson-Cousins, HST/WFPC2, 2MASS, . . . ) and allows for published magnitudes to be used directly. For a set of objects with measured magnitudes m 1 , m 2 , . . . , m M+1 (with independent uncertainties σ 1 , σ 2 , . . . , σ M+1 ), derived independent colors c 1 , c 2 , . . . , c M , and a set of N parameters with M > N, no strict solutions, but only approximate ones, can be found since the problem has more equations or sets of model parameters that produce a given color than model parameters. Hence, the code finds the N-volume of approximate solutions by using χ 2 minimization. The first step of the program is to read the unreddened SED models, extinguish them according to a given extinction law, and obtain the synthetic photometry; the code includes pre-calculated tables for all the models and filters. To run the program, CHORIZOS requires
2.3. Results 23 Aperture R eff F(Hα) L(Hα) Q(H 0 ) M ii EW(Hα) pc 10 −13 erg s −1 cm −2 10 39 erg s −1 10 51 s −1 10 4 M ⊙ Å NGC5471-1 61.1 6.63 ± 0.31 4.1 4.1 13.0 1187 ± 77 NGC5471-2 60.9 3.07 ± 0.14 1.9 1.9 6.1 993 ± 64 NGC5471-3 47.0 0.93 ± 0.04 0.6 0.6 1.9 354 ± 23 NGC5471-4 51.2 1.59 ± 0.07 1.0 1.0 3.2 1103 ± 71 NGC5471-5 46.0 0.79 ± 0.04 0.5 0.5 1.6 788 ± 51 NGC5471-6 58.9 2.42 ± 0.11 1.5 1.5 4.8 919 ± 59 NGC5471-7 63.1 2.34 ± 0.11 1.5 1.4 4.7 872 ± 57 NGC5471-8 43.5 0.72 ± 0.03 0.5 0.4 1.4 756 ± 49 NGC5471-9 34.0 0.38 ± 0.02 0.2 0.2 0.8 1369 ± 90 NGC5471-10 46.2 1.22 ± 0.06 0.8 0.8 2.4 1282 ± 83 NGC5471-11 53.6 0.31 ± 0.01 0.2 0.2 0.6 585 ± 37 NGC 5471 525 36.5 ± 1.70 23 22 73 783 ± 40 Table 2.4: Integrated Hα flux and derived parameters for the eleven regions of NGC 5471. R eff is the effective radius of the polygon. The last row belongs to the integrated values of the whole region. a file with the photometry data and a series of input parameters, such as the model family, understood as the collection of SED from stellar atmosphere models or synthetic stellar populations, and the range of the parameters to be used. Then, CHORIZOS reads the model photometry from the tables calculated previously, interpolates, calculates the likelihood for each grid point, and write the results for each of the four parameters (mode, mean, standard deviation, median, . . . ). The program contains a useful module which reads the results and produces spectra, probability contour plots and additional statistics. In the case of our study, we have used the STARBURST99 models (Leitherer et al., 1999) with the implementation by Smith et al. (2002) which includes a grid of blanketed stellar atmospheres at different metallicities. We fixed two parameters: the known metallicity of NGC 5471 and the type of dust, leaving unconstrained the amount of extinction and the age. Regarding extinction, CHORIZOS works with E(4405 − 5495) and R 5495 , which are the monochromatic equivalent to E(B − V ) and R V respectively, the values 4405 and 5495 referring to the central wavelength (in Å) of the B and V filters. We used the standard type of dust characterized by a value R 5495 = 3.1. The metallicity of the region was assumed to be traced by the oxygen abundance. Recent derivations from detailed spectrophotometric studies give a mean value of 12+log(O/H) of 8.06 ± 0.03 for components A, C and D; a slightly lower abundance of 7.94 ± 0.03 is found for component B (Kennicutt et al., 2003). These values correspond to about 0.25 the solar oxygen abundance, if the value by Asplund et al. (2005) for the solar oxygen abundance is assumed. Therefore we used the
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2.3. Results 23<br />
Aperture R eff F(Hα) L(Hα) Q(H 0 ) M ii EW(Hα)<br />
pc 10 −13 erg s −1 cm −2 10 39 erg s −1 10 51 s −1 10 4 M ⊙ Å<br />
NGC5471-1 61.1 6.63 ± 0.31 4.1 4.1 13.0 1187 ± 77<br />
NGC5471-2 60.9 3.07 ± 0.14 1.9 1.9 6.1 993 ± 64<br />
NGC5471-3 47.0 0.93 ± 0.04 0.6 0.6 1.9 354 ± 23<br />
NGC5471-4 51.2 1.59 ± 0.07 1.0 1.0 3.2 1103 ± 71<br />
NGC5471-5 46.0 0.79 ± 0.04 0.5 0.5 1.6 788 ± 51<br />
NGC5471-6 58.9 2.42 ± 0.11 1.5 1.5 4.8 919 ± 59<br />
NGC5471-7 63.1 2.34 ± 0.11 1.5 1.4 4.7 872 ± 57<br />
NGC5471-8 43.5 0.72 ± 0.03 0.5 0.4 1.4 756 ± 49<br />
NGC5471-9 34.0 0.38 ± 0.02 0.2 0.2 0.8 1369 ± 90<br />
NGC5471-10 46.2 1.22 ± 0.06 0.8 0.8 2.4 1282 ± 83<br />
NGC5471-11 53.6 0.31 ± 0.01 0.2 0.2 0.6 585 ± 37<br />
NGC 5471 525 36.5 ± 1.70 23 22 73 783 ± 40<br />
Table 2.4: Integr<strong>at</strong>ed Hα flux and derived parameters for the eleven <strong>regions</strong> <strong>of</strong> NGC 5471. R eff is<br />
the effective radius <strong>of</strong> the polygon. The last row belongs to the <strong>in</strong>tegr<strong>at</strong>ed values <strong>of</strong> the whole region.<br />
a file with the photometry d<strong>at</strong>a and a series <strong>of</strong> <strong>in</strong>put parameters, such as the model family,<br />
understood as the collection <strong>of</strong> SED from stellar <strong>at</strong>mosphere models or synthetic stellar<br />
popul<strong>at</strong>ions, and the range <strong>of</strong> the parameters to be used. Then, CHORIZOS reads the model<br />
photometry from the tables calcul<strong>at</strong>ed previously, <strong>in</strong>terpol<strong>at</strong>es, calcul<strong>at</strong>es the likelihood for<br />
each grid po<strong>in</strong>t, and write the results for each <strong>of</strong> the four parameters (mode, mean, standard<br />
devi<strong>at</strong>ion, median, . . . ). The program conta<strong>in</strong>s a useful module which reads the results and<br />
produces spectra, probability contour plots and additional st<strong>at</strong>istics.<br />
In the case <strong>of</strong> our <strong>study</strong>, we have used the STARBURST99 models (Leitherer et al., 1999)<br />
with the implement<strong>at</strong>ion by Smith et al. (2002) which <strong>in</strong>cludes a grid <strong>of</strong> blanketed stellar<br />
<strong>at</strong>mospheres <strong>at</strong> <strong>different</strong> metallicities. We fixed two parameters: the known metallicity <strong>of</strong><br />
NGC 5471 and the type <strong>of</strong> dust, leav<strong>in</strong>g unconstra<strong>in</strong>ed the amount <strong>of</strong> ext<strong>in</strong>ction and the<br />
age.<br />
Regard<strong>in</strong>g ext<strong>in</strong>ction, CHORIZOS works with E(4405 − 5495) and R 5495 , which are the<br />
monochrom<strong>at</strong>ic equivalent to E(B − V ) and R V respectively, the values 4405 and 5495<br />
referr<strong>in</strong>g to the central wavelength (<strong>in</strong> Å) <strong>of</strong> the B and V filters. We used the standard type<br />
<strong>of</strong> dust characterized by a value R 5495 = 3.1. The metallicity <strong>of</strong> the region was assumed to<br />
be traced by the oxygen abundance. Recent deriv<strong>at</strong>ions from detailed spectrophotometric<br />
studies give a mean value <strong>of</strong> 12+log(O/H) <strong>of</strong> 8.06 ± 0.03 for components A, C and D;<br />
a slightly lower abundance <strong>of</strong> 7.94 ± 0.03 is found for component B (Kennicutt et al.,<br />
2003). These values correspond to about 0.25 the solar oxygen abundance, if the value by<br />
Asplund et al. (2005) for the solar oxygen abundance is assumed. Therefore we used the