Distributions of the velocity dispersion of the ionised gas (Brγ for LIRGs Paα for ULIRGs), H₂ 1−0S(1), and [FeII] emission. From top to bottom, the histograms show the distributions of the velocity dispersion measured in the nucleus (defined by aperture “A” in Figs. 1 and 2), the integrated FoV, and the peak of the Brγ (Paα) emission. The Brγ (Paα) peak coincides with the nucleus in ~33% of the LIRGs and in the ~71% of the ULIRGs.