X-shooter spectrum around the damped Lyα absorption. Black lines are the X-shooter data and noise level, both binned for clarity. The red-shaded region shows the fit to the damped Lyα absorption line using the combination of a Voigt profile with log (N(H i)/cm^-2) = 21.95 ± 0.10 and the H-model from Sect. 3.2.7. The blue solid and dashed lines illustrate a damped Lyα profile and associated 1σ uncertainties, respectively, that correspond to log (N(H i)/cm^-2) = 21.95 ± 0.10, but without the vibrationally-excited transitions of molecular hydrogen.