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

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32 2 • The star form<strong>at</strong>ion history <strong>of</strong> NGC 5471<br />

lum<strong>in</strong>ous young ioniz<strong>in</strong>g cluster. This will be well established with the analysis <strong>of</strong> the CMD<br />

<strong>in</strong> the next section.<br />

Mass <strong>of</strong> the <strong>ionized</strong> gas<br />

The H + mass and the mass <strong>of</strong> the ioniz<strong>in</strong>g cluster may be derived from the Hα flux.<br />

The published values <strong>of</strong> <strong>in</strong>ternal ext<strong>in</strong>ction for NGC 5471 differ from <strong>different</strong> authors, but<br />

they are lower than about E(B-V) = 0.14 on average (Skillman, 1985; Torres-Peimbert et al.,<br />

1989; Kennicutt and Garnett, 1996; Luridiana et al., 2002; Esteban et al., 2002). Therefore,<br />

we have not <strong>at</strong>tempted to correct the measured Hα flux to estim<strong>at</strong>e other magnitudes from<br />

this value. The electron density assumed is n e = 100 cm −3 (Luridiana et al., 2002).<br />

The Hα flux <strong>in</strong> a 15 ′′ radius circular aperture (uncorrected for <strong>in</strong>ternal ext<strong>in</strong>ction) yields<br />

a lower limit to the lum<strong>in</strong>osity L Hα ∼ 2.3 × 10 40 erg s −1 . The total number <strong>of</strong> H-ioniz<strong>in</strong>g<br />

photons, Q(H 0 ), estim<strong>at</strong>ed from Osterbrock (1989) is:<br />

Q(H 0 ) = α B<br />

α eff<br />

Hα<br />

× L Hα<br />

hν Hα<br />

∼ 2.2 × 10 52 s −1<br />

where α B /α eff<br />

Hα ∼ 2.99, assum<strong>in</strong>g case B recomb<strong>in</strong><strong>at</strong>ion, α B ∼ 2.59 × 10 −13 cm −3 s −1 , and<br />

an effective recomb<strong>in</strong><strong>at</strong>ion coefficient for Hα <strong>of</strong> 8.63 × 10 −14 cm −3 s −1 for 10 4 K and n e =<br />

100 cm −3 (Osterbrock, 1989). Thus the total (lower limit) <strong>ionized</strong> mass <strong>of</strong> the gas cloud is<br />

M H + = Q(H 0 ) m p<br />

n e α B<br />

∼ 7.3 × 10 5 M ⊙<br />

From evolutionary models <strong>of</strong> s<strong>in</strong>gle stellar popul<strong>at</strong>ion ioniz<strong>in</strong>g clusters and radi<strong>at</strong>ionbounded<br />

H ii <strong>regions</strong>, a rel<strong>at</strong>ion between Q(H 0 ) per solar mass and the Hβ equivalent width<br />

can be found (Díaz, 1998), which allows to estim<strong>at</strong>e the stellar cluster mass by tak<strong>in</strong>g <strong>in</strong>to<br />

account the cluster evolution:<br />

log[Q(H 0 )/M ⊙ ] = 0.86 log[EW (Hβ)] + 44.48 (2.5)<br />

Hence, a lower limit for the mass <strong>of</strong> the cluster can be estim<strong>at</strong>ed by means <strong>of</strong> the Hβ equivalent<br />

width and the Hα lum<strong>in</strong>osity <strong>of</strong> the region. Us<strong>in</strong>g the range <strong>of</strong> values EW(Hβ)=134-296<br />

Å published by <strong>different</strong> authors (Luridiana et al., 2002; Esteban et al., 2002; Rosa and Benvenuti,<br />

1994; Rosa, 1981), and the value <strong>of</strong> Q(H 0 ) calcul<strong>at</strong>ed above, equ<strong>at</strong>ion 2.5 yields a<br />

mass <strong>of</strong> the ioniz<strong>in</strong>g cluster <strong>in</strong> the range 0.6 − 1.1 × 10 6 M ⊙ . Us<strong>in</strong>g the calibr<strong>at</strong>ion <strong>of</strong> Kennicutt<br />

(1998) and the lum<strong>in</strong>osity th<strong>at</strong> we measure, L Hα ∼ 2.3 × 10 40 erg s −1 , we obta<strong>in</strong> a star<br />

form<strong>at</strong>ion r<strong>at</strong>e <strong>of</strong> 0.18 M ⊙ yr −1 , th<strong>at</strong> transl<strong>at</strong>es <strong>in</strong>to a cluster mass <strong>of</strong> 10 6 M ⊙ for a burst<br />

dur<strong>at</strong>ion <strong>of</strong> 10 Myr, which is the dur<strong>at</strong>ion <strong>of</strong> the current burst implied by the analysis <strong>in</strong> the<br />

previous section.<br />

Thus we f<strong>in</strong>d th<strong>at</strong> the masses <strong>of</strong> <strong>ionized</strong> gas and <strong>of</strong> the stellar cluster <strong>in</strong> the current star

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