The [N II] 205μm Emission in Local Luminous Infrared Galaxies

In this paper, we present the measurements of the [N II] 205 μm line for a flux-limited sample of 122 (ultra-)luminous infrared galaxies [(U)LIRGs] and 20 additional normal galaxies, obtained with the Herschel Space Observatory (Herschel). We explore the far-infrared (FIR) color dependence of the [N II] 205 μm (L_([N II]205μm)) to the total infrared (L_(IR)) luminosity ratio, and find that L_([N II]205μm)/L_(IR) only depends modestly on the 70–160 μm flux density ratio (f_(70)/f_(160)) when f_(70)/f_(160) ≾ 0.6, whereas such dependence becomes much steeper for f_(70/f_(160) > 0.6. We also investigate the relation between L_([N II]205μm) and star formation rate (SFR), and show that L_([N II]205μm) has a nearly linear correlation with SFR, albeit the intercept of such a relation varies somewhat with f_(60)/f_(100), consistent with our previous conclusion that [N II] 205 μm emission can serve as an SFR indicator with an accuracy of ~0.4 dex, or ~0.2 dex if f_(60)/f_(100) is known independently. Furthermore, together with the Infrared Space Observatory measurements of [N II], we use a total of ~200 galaxies to derive the local [N II] 205 μm luminosity function (LF) by tying it to the known IR LF with a bivariate method. As a practical application, we also compute the local SFR volume density (ṗ_(SFR)) using the newly derived SFR calibrator and LF. The resulting log ṗ_(SFR) = -1.96 ± 0.11 M_☉ yr^(−1) Mpc^(−3) agrees well with previous studies. Finally, we determine the electron densities (n_e) of the ionized medium for a subsample of 12 (U)LIRGs with both [N II] 205 μm and [N II] 122 μm data, and find that n_e is in the range of ~1–100 cm^(−3), with a median value of 22 cm^(−3).