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                                                  inversion
                 FIGURE 1.14 The rotation and inversion mechanisms of isomerization of azobenzene, (Adapted
                 from reference 7, by permission.)

                 surface cannot be mapped out fully by experimental probing. We a re still
                 restricted to the two possibilities for creating a potential energy diagram. One
                 is by experimentally guided intuition, which constructs the unobservable
                 parts of the curves by exploiting the experimental data, such as steady-state
                 and transient absorption and emission spectra and their activation energies,
                 and principles like the correlation of reactant and product states, symmetry
                 considerations, the principle of avoided crossings of energy curves, and so on.
                 The other possibility is by calculation, which scans the surfaces point by
                 point for different geometrical configurations. With the development of com-
                 puting capacity and improved software, the latter method has become
                 increasingly reliable. One may address this as "experimental" theoretical
                 chemistry.
                 1.6.1.1 The Thermal Isomerization Mechanism
                    For the thermal ground-state Z —» E isomerization of azobenzene, the
                 inversion mechanism was readily accepted, mostly on the grounds of the
                 much lower activation energy as compared to stilbene (96 versus 180 kj moH)
                                                    168
                 and the parallel reaction in the imines.  A direct proof of inversion has
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                 been given by Rau and Liiddecke  and by Tamaoki et al.,  who found that
                 azobenzenophanes that cannot rotate still isomerize. Chemical intuition
                 would indicate that the inversion starts with a symmetrical molecular vibra-
                 tion leading finally to a linear transition state. Calculations have shown
                 convincingly, however, that the inversion takes place at only one N-atom in
                                                       171 172 173
                 a semilinear transition state (Figure 1.14); ' '  a linear transition state
                 would be energetically too unfavorable. This also holds for an inversion
                 mechanism in the excited state.
                    For pseudo-stilbene-type molecules, the question of the mechanism of
                 thermal isomerization was taken up again in the early eighties by Whitten et
                   149                         174
                 al.  and later by Kobayashi et al.,  who, on the basis of their isomerization
                 experiments with donor/acceptor-substituted azobenzenes in polar solvents,
                                                     88 133 151 175
                 postulate rotation. Asano and coworkers ' ' '  infer from the isorneriza-
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