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Aiming to understand reaction mechanisms presenting non-Arrhenius behavior, studies over a wide range of temperature reactions become a tool of great importance1–4. An interesting formulation for this problem was proposed by Eyring, named Transition State Theory (TST). A recent paper5 generalized the Transition State Theory by Tsallis Distribution6, adding non-equilibrium effect in the description of the kinetic rate constant. However, this formulation depends on the deformation parameter that has no well-defined physical meaning. Focused in the possibility of providing a meaning to the deformed parameter, we proposed a comparison between d-Arrhenius and Bell models, and we found that the deformation parameter is put into relationship with the height of the energy barrier (E0) and the negative frequency (ν#)7 (see Figure 1a). This parameter tends to zero for high values of the E0 and ν#, and the usual Arrhenius law is recovered. However, significate values of d implies in the tunneling contributions and consequently Sub-Arrhenius behavior (concave curve at Arrhenius plot, see Figure 1b). This result makes the extension of TST by Tsallis Distribution (d-TST) possible as following:

Deformed Transition State Theory: Inclusion of the Tunneling Effect by Euler Exponential, Limit of Validity and Description of Bimolecular Reactions