The galaxy-wide distributions of mean electron density in the HII regions of M51 and NGC 4449
Leonel Guti\'errez, John E. Beckman

TL;DR
This study analyzes the distribution of mean electron densities in HII regions of M51 and NGC 4449, revealing a R^{-1/2} relation with region size and exponential decline with galactocentric radius, suggesting pressure equilibrium with surroundings.
Contribution
It introduces a new empirical relation <n_e> ∝ R^{-1/2} for HII regions and compares their density profiles with galaxy structures, providing constraints for future models.
Findings
<n_e> scales as R^{-1/2}
Electron densities decline exponentially with galactocentric radius
HII regions are in pressure equilibrium with their surroundings
Abstract
Using ACS-HST images to yield continuum subtracted photometric maps in H\alpha of the Sbc galaxy M51 and the dwarf irregular galaxy NGC 4449, we produced extensive (over 2000 regions for M51, over 200 regions for NGC4449) catalogues of parameters of their HII regions: their H\alpha luminosities, equivalent radii and coordinates with respect to the galaxy centers. From these data we derived, for each region, its mean luminosity weighted electron density, <n_e>, determined from the H\alpha luminosity and the radius, R, of the region. Plotting these densities against the radii of the regions we find excellent fits for <n_e> varying as R^{-1/2}. This relatively simple relation has not, as far as we know, been predicted from models of HII region structure, and should be useful in constraining future models. Plotting the densities against the galactocentric radii, r, of the regions we find…
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