The joint use
of the topological analysis provided by the electron localization function(ELF) and catastrophe theory (CT), at the B3LYP/6-31G(d) calculation level, allows us to examinethe Lewis acid (protonation H
+ and presence
of BH
3) and the role
of an electron donor substituent(-OCH
3) at
![](/images/gifchars/alpha.gif)
and
![](/images/gifchars/beta2.gif)
positions along the course
of the molecular mechanism for the Nazarovrearrangement
of penta-1,4-dien-3-one and eight derivatives. The progress
of the reaction ismonitored by the changes
of the ELF structural stability domains (
SSDs), each change beingcontrolled by a turning point derived from CT. These SSDs and the corresponding turning pointsare associated with a sequence
of elementary chemical steps. Along the cyclization path
ofpenta-1,4-diene-3-one, four SSDs as well as three turning points (cusp1-fold1-cusp2) havebeen characterized. The first and second SSDs correspond to a polarization
of the C-O bondand electronic redistribution among the C-C bonds, respectively, and they can be associatedwith the
formation of an oxyallyl structure. The third and fourth SSDs can be assigned to thering closure
process. Protonation
of the oxygen atom shifts the reactive directly into the secondSSD, greatly reducing the activation and reaction energies. The electronic effects due to Lewisacids and electron donor substituents have been rationalized in terms
of calculations
ofmesomeric structures from ELF basin populations. The combination
of Lewis acids togetherwith
![](/images/gifchars/alpha.gif)
and
![](/images/gifchars/beta2.gif)
-OCH
3 substitutions renders a cooperative and competitive effect on activationand reaction free energies, respectively.