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The result is a structure that is 7.5 kcal/mol above the   complex. The   complex   451
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          structure also gives better agreement with the experimental C and H NMR chemical
          shifts than the corner-protonated structure. The preference for the   complex structure  SECTION 4.4
          persists in computations using a continuum solvent model. The picture that emerges  Structure and Reactions
                                                                                         of Carbocation
          from this analysis is of a primarily electrostatic attraction between a C(1)−C(2) double  Intermediates
          bond and a carbocation-like C(6). 148  Such a structure would be poised for nucleophilic
          attack anti to C(6), as is observed to occur.
              Let us now return to the question of solvolysis and how it relates to the structure
          under stable ion conditions. To relate the structural data to solvolysis conditions, the
          primary issues that must be considered are the extent of solvent participation and the
          nature of solvation of the cationic intermediate. The extent of solvent participation has
          been probed by comparison of solvolysis characteristics in TFA with acetic acid. The
          exo-endo reactivity ratio in TFA is 1120, compared to 280 in acetic acid. While the
          endo isomer shows solvent sensitivity typical of normal secondary tosylates, the exo
          isomer reveals a reduced sensitivity. This result indicates that the TS for solvolysis of
          the exo isomer possesses a greater degree of charge dispersal, which is consistent with
          formation of a bridged structure. This fact, along with the rate enhancement of the exo
          isomer, indicates that the 	 participation commences prior to ionization, and leads to
          the conclusion that bridging is a characteristic of the solvolysis TS, as well as of the
          stable ion structure. 149
              Another line of evidence indicating that bridging is important in solvolysis comes
          from substituent effects for groups placed at C(4), C(5), C(6), and C(7) in the norbornyl
          system. The solvolysis rate is most strongly affected by C(6) substituents and the exo
          isomer is more sensitive to these substituents than the endo isomer. This implies that
          the TS for solvolysis is especially sensitive to C(6) substituents, as would be expected
          if the C(1)−C(6) bond participates in solvolysis. 150
              Computation of the TS using ionization of the protonated exo and endo alcohols
          as a model has been done using B3LYP/6-311+G calculations. 151  The results confirm
                                                  ∗
          that participation occurs during the ionization process and is greater for the exo than the
          endo system. However, the stabilization resulting from the participation is considerably
          less than the full stabilization energy of the bridged carbocation. A difference of
          3.7 kcal/mol is calculated between the exo and endo TSs. Figure 4.14 illustrates the
          relative energy relationships.
              Many other cations besides the norbornyl cation have bridged structures. 152
          Scheme 4.5 shows some examples that have been characterized by structural studies
          or by evidence derived from solvolysis reactions. To assist in interpretation of the
          bridged structures, the bond representing the bridging electron pair is darkened in a
          corresponding classical structure. Not surprisingly, the borderline between classical
          and bridged structures is blurred. There are two fundamental factors that prevent
          an absolute division: (1) The energies of the two (or more) possible structures may



          148   N. H. Werstiuk, H. M. Muchall, and S. Noury, J. Phys. Chem. A, 104, 11601 (2000).
          149
             J. E. Nordlander, R. R. Gruetzmacher, W. J. Kelly, and S. P. Jindal, J. Am. Chem. Soc., 96, 181 (1974).
          150   F. Fuso, C. A. Grob, P. Sawlewicz, and G. W. Yao, Helv. Chim. Acta, 69, 2098 (1986); P. Flury and
             C. A. Grob, Helv. Chim. Acta, 66, 1971 (1983).
          151   P. R. Schreiner, P. v. R. Schleyer, and H. F. Schaefer, III, J. Org. Chem., 62, 4216 (1997).
          152
             V. A. Barkhash, Top. Current Chem., 115–117, 1 (1984); G. A. Olah and G. K. SuryaPrakash, Chem.
             Brit., 19, 916 (1983).
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