The focus of this paper is to improve our studies related to the novel use of the Thorpe method applied to atmospheric boundary layer (ABL) using new data from Spanish field experiments. We analyse the time behaviour of the maximum Thorpe displacement (dT
and the Thorpe-scale LT
during a day cycle. We also analyse the relation between (dT
. We deduce that they confirm a power law statistically significant, with differences between convective conditions and shear-driven conditions.