Reaction mechanisms electron correlation calculations

Attempts to correlate reaction mechanisms, electron density calculations and experimental results have met with only limited success. As mentioned in the previous chapter (Section 4.06.2), the predicted orders of electrophilic substitution for imidazole (C-5 > -2 > -4) and benzimidazole (C-7>-6>-5>-4 -2) do not take into account the tautomeric equivalence of the 4- and 5-positions of imidazole and the 4- and 7-, 5- and 6-positions of benzimidazole. When this is taken into account the predictions are in accord with the observed orientations of attack in imidazole. Much the same predictions can be made by considering the imidazole molecule to be a combination of pyrrole and pyridine (74) — the most likely site for electrophilic attack is C-5. Furthermore, while sets of resonance structures for the imidazole and benzimidazole neutral molecules (Schemes 1 and 2, Section 4.06.2) suggest that all ring carbons have some susceptibility to electrophilic attack, consideration of the stabilities of the expected tr-intermediates (Scheme 29) supports the commonly observed preference for 5- (or 4-) substitution. In benzimidazole attack usually occurs first at C-5 and a second substituent enters at C-6 unless other substituent effects intervene. 

Reactions of unsymmetrical dienes and/or dienophiles have also been studied101 103 104. For these reactions ab initio calculations predict concerted non-synchronous mechanisms. The values of the potential energy barriers are very sensitive to the level of calculation and reasonable values are only obtained when electron correlation is included up to the MP3 level103. 

The controversy between Huisgen and Firestone concerning the mechanism for 1,3-dipolar cycloaddition is longstanding.9,11 For nitrile oxide cycloadditions, experimental data have been interpreted either as supportive of a concerted mechanism9 or in favor of a stepwise mechanism with diradical intermediates.11 Theory has compounded, rather than resolved, this problem. Ab initio calculations on the reaction of fulmonitrile oxide with acetylene predict a concerted mechanism at the molecular otbital level,12,13 but a stepwise mechanism after inclusion of extensive electron correlation.14 MNDO predicts a stepwise mechanism with a diradical intermediate.13 The existence of an extended diradical intermediate such as (4 Scheme 2) has been postulated by Firestone in order to account for the occasional formation of 1,4-addition products such as the oxime (5).11 Of course, the intermediates (4) and (5) for the Firestone mechanism do not correspond to the initial transition states in Firestone s theory. These are attained prior to the formation of, and at higher energy than, the intermediates. 

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