We present the data and our analysis of mid-infrared atomic fine-structure emission lines detected in Spitzer/Infrared Spectrograph high-resolution spectra of 202 local Luminous Infrared Galaxies (LIRGs) observed as part of the Great Observatories All-sky LIRG Survey (GOALS). We compare ratios of the emission-line fluxes to those predicted from stellar photo-ionization and shock-ionization models to constrain the physical and chemical properties of the gas in the starburst LIRG nuclei. A significant fraction of the GOALS sources (80) have resolved neon emission-line profiles (FWHM > or =, slanted 600 km s super(-1)) and five show clear differences in the velocities of the NeIII or Nev emission lines, relative to NeII, of more than 200 km s super(-1).