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A theoretical model for vertical distribution of air temperature in lower layers during night-time calm periods has been developed by modifying some boundary conditions of the classical Brunt's model, on the ground of a more realistic behaviour of low atmosphere.The model allows the vertical temperature profile to be deduced from screen data records and it fits with experimental data collected from a meteorological tower better than the classical model.Radiative heat exchange is assumed to play the principal role, with diffusion thermal coefficient constant with height and time; previous work has shown that such an assumption holds true in the Po Valley air flow, when sky is cloudless and winds are light.