The BET critical idea is modeling any reaction system as a gradient dynamical system (GDS) using the ELF as its potential. The gradient nullity condition applied to ELF yields four types of equilibria since this smooth function is defined on 3 : attractors (ELF maxima, hereafter labeled as a), saddle points of index one and two (hereafter designated as s1 and s2, respectively), and repellors (ELF minima, hereafter denoted as m). Following the changes of these solutions along a reaction path (e.g., the IRC ), a rationalization of electronic events in terms of the so-called universal unfoldings is carried out. These unfoldings are parametric polynomials of degree equal to or greater than 3, which accurately approximate the ELF shape in the locality of a topographical bifurcation if some requirements are met. Each function describes one of the seven types of degeneracy exhibited by ELF critical points (CPs). A CP is said to be degenerate if evaluating the determinant of the Hessian matrix yields 0; otherwise, it is called hyperbolic. The collection of the hyperbolic (Morsetype) CPs and the gradient lines connecting them is called a topographic map or phase-space portrait. Abrupt changes in such a space comprising both the type and number of CPs are frequently referred to as topological bifurcations. Poincaré-Hopf theorem 54 imposes a strong constrain for all these changes since n0 -n1 + n2 -n3 = 1, where n0, n1, n2, and n3 stand for the number of attractors, saddles of index one, saddles of index two, and repellors, respectively. Note that the subscript coincides with the index of the CP. This alternating sum yields zero in the context of periodic systems, such as crystalline structures. Herein we will follow the convention that the index represents the number of positive eigenvalues of the Hessian matrix at the point. Therefore, a CP with any positive eigenvalue is classified as a maximum of the function. In contrast, the critical point is indicative of a minimum on the potential landscape in cases where all its three eigenvalues are positive. The other two possible scenarios (on 3 ) involving combinations of one and two positive eigenvalues lead to saddle points of indices one and two, respectively. On the other hand, there is a (big) set of points where the ELF gradient does not vanish, and more importantly, a departing trajectory of such points from the neighborhood of a Morse-type CP will never return. These intriguing points are the so-called wandering points. It is essential to emphasize that the BET has been applied to the study of a wide variety of chemical reactions ranging from the gas phase to the solid state; 56 however, despite its popularity, the identifying-assigning process of the correct unfolding to describe the formation/scissions of chemical bonds is not well understood.