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We present, for the first time, a statistical study of [N II] 205 mciron line emission for a large sample of local luminous infrared galaxies using Herschel Spectral and Photometric Imaging Receiver Fourier Transform Spectrometer (SPIRE FTS) data. Fo r our sample of galaxies, we investigate the correlation between the [N II] luminosity (LNII) and the total infrared luminosity (LIR), as well as the dependence of LNII/LIR ratio on LIR, far infrared colors (IRAS $f_{60}/f_{100}$) and the [O III] 88 micron to [N II] luminosity ratio. We find that LNII correlates almost linearly with LIR for non AGN galaxies (all having $L_{IR} < 10^{12} L_solar$) in our sample, which implies that LNII can serve as a SFR tracer which is particularly useful for high redshift galaxies which will be observed with forthcoming submm spectroscopic facilities such as the Atacama Large Millimeter/submillimeter Array. Our analysis shows that the deviation from the mean LNII-LIR relation correlates with tracers of the ionization parameter, which suggests the scatter in this relation is mainly due to the variations in the hardness, and/or ionization parameter, of the ambient galactic UV field among the sources in our sample.
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