Results of the LVG model fits. Maps of the kinetic temperature (T_kin, colour scale) and beam-averaged column density (N_beam, overlaid contours) across the Orion KL region determined by fitting LVG models to the observed lines of CH₃CN J = 6_K−5_K, J = 12_K−11_K, J = 13_K−12_K, and J = 14_K−13_K at each map position (see Sect. 4.4 for details). Column density contours are plotted at 0.5×10¹⁵ cm^-2 intervals, starting at 0.5 × 10¹⁵ cm^-2 (black lines). The locations of the hot core, compact ridge, radio continuum sources, and the northeastern hot zone are indicated as in previous figures.