I. De Looze, Robert C. Kennicutt, Eric W. Pellegrini, P. van der Werf, Fabian Walter, P. Beirao, Adam K. Leroy, A. D. Bolatto, M. Boquien, J. D. T. Smith, D. Calzetti, D. Rigopoulou, K. V. Croxall, L. Armus, Bernhard R. Brandl, Karin Sandstrom, Bruce T. Draine, Rodrigo Herrera-Camus, Brent Groves, A. Crocker, Mark Wolfire, Fatemeh Tabatabaei, M. Galametz, Department of Astronomy [College Park], University of Maryland [College Park], University of Maryland System-University of Maryland System, Institut Laue-Langevin (ILL), Department of Astronomy, University of Massachusetts System (UMASS), Leiden Observatory [Leiden], Universiteit Leiden, University of Cambridge [UK] (CAM), Department of Physics [Oxford], University of Oxford, Astrophysique Interprétation Modélisation (AIM (UMR7158 / UMR_E_9005 / UM_112)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Institut für Physik (Institut für Physik), University of Potsdam = Universität Potsdam, Laboratoire d'Etude du Rayonnement et de la Matière en Astrophysique (LERMA), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université de Cergy Pontoise (UCP), Université Paris-Seine-Université Paris-Seine-Centre National de la Recherche Scientifique (CNRS), Herrera-Camus, R [0000-0002-2775-0595], Bolatto, A [0000-0002-5480-5686], Draine, B [0000-0002-0846-936X], Calzetti, D [0000-0002-5189-8004], Crocker, A [0000-0001-8513-4945], Van Der Werf, P [0000-0001-5434-5942], Sandstrom, K [0000-0002-4378-8534], Galametz, M [0000-0002-0283-8689], Apollo - University of Cambridge Repository, ILL, Universiteit Leiden [Leiden], University of Oxford [Oxford], Astrophysique Interprétation Modélisation (AIM (UMR_7158 / UMR_E_9005 / UM_112)), Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris Diderot - Paris 7 (UPD7), Universität Potsdam, École normale supérieure - Paris (ENS Paris), École normale supérieure - Paris (ENS Paris)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, and PSL Research University (PSL)-PSL Research University (PSL)-Université de Cergy Pontoise (UCP)
The [NII] 122 and 205 \mu m transitions are powerful tracers of the ionized gas in the interstellar medium. By combining data from 21 galaxies selected from the Herschel KINGFISH and Beyond the Peak surveys, we have compiled 141 spatially resolved regions with a typical size of ~1 kiloparsec, with observations of both [NII] far-infrared lines. We measure [NII] 122/205 line ratios in the ~0.6-6 range, which corresponds to electron gas densities $n_e$~1-300 cm$^{-3}$, with a median value of $n_e$=30 cm$^{-3}$. Variations in the electron density within individual galaxies can be as a high as a factor of ~50, frequently with strong radial gradients. We find that $n_e$ increases as a function of infrared color, dust-weighted mean starlight intensity, and star formation rate surface density ($\Sigma_{SFR}$). As the intensity of the [NII] transitions is related to the ionizing photon flux, we investigate their reliability as tracers of the star formation rate (SFR). We derive relations between the [NII] emission and SFR in the low-density limit and in the case of a log-normal distribution of densities. The scatter in the correlation between [NII] surface brightness and $\Sigma_{SFR}$ can be understood as a property of the $n_e$ distribution. For regions with $n_e$ close to or higher than the [NII] line critical densities, the low-density limit [NII]-based SFR calibration systematically underestimates the SFR since [NII] emission is collisionally quenched. Finally, we investigate the relation between [NII] emission, SFR, and $n_e$ by comparing our observations to predictions from the MAPPINGS-III code., Fulbright-CONICYT grant, This is the author accepted manuscript. It is currently under an indefinite embargo pending publication by the Institute of Physics.