Overall, these explorations of the Beckmann rearrangement exemplify how even when essentially only local linearity is found, the interplay of the parameters can be studied if several sets of reactions of the same family are compared to each other. In the case of the Beckmann rearrangement, the underlying assumption that the values of both Emin and θ should both remain similar across the different curves could be confirmed with values around Emin = 0 and θ = 0.06. The application of equation in these two families of reactions sheds light on the important role of the parameters in describing their characteristics: some barriers may be higher or lower, more or less sensitive to thermodynamics due to unique combinations of factors. The new insight paves the way for deeper understanding of activation energy modulation. To the question of how one may increase or lower the rate and selectivity of a given reaction, the answer involves the interplay of the exergonicity of the reaction with respect to Geq, the curvature of the non-linear ΔG ‡ (ΔGr) function and the proximity to its asymptotic behaviour. This contributes to understanding the patterns in general chemical intuition, where different reactions respond differently to modifications, while providing a measure of which aspects are unnecessary to modify. In a highly exergonic regime, while a simpler linear plot might suggest most kinds of modifications on the substrate could be futile, our equation would suggest an increase in θ could be very effective, whereas in a highly endergonic regime, the response of the barrier to the reaction energy is much stronger and can be harnessed. As large enough changes can lead to the parameters of one substrate being rather distinct from a similar model reaction, apparent outliers would suggest an effective modification of at least one of the three key parameters. This gives useful information on the way to modify the reaction barriers, breaking away from the reaction energy-based approach with a linear model (and mostly intractable outliers), instead becoming opportunities for synthetic chemists to know which modifications to make to improve even already very exergonic reactions and rationally lower their barriers. That said, further increasing the exergonicity would have little impact on the reaction rate, attention should be paid to the organisational or configurational aspects 33 of the reaction instead.