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Effects of Structure and Solvent  229

      1-adamantyl cation (13), a typical bridgehead ion. The carbon C,  is in the trans




























      periplanar  position  with  respect  to  the  leaving  group.  The system  14, which
      solvolyzes at roughly 3  x   times the rate of  1-adamantyl (13), has the con-
      formation 15, with a cis periplanar hydrogen and no trans periplanar group. .&
                                                            -   -
      thus appears that hyperconiugative electron donation occurs more readily at tc-
                                                                        in
      back of an inci~ient el-rPnter                   the fra~t,~3ju_stas SN2
      sibstitutions atfack by nucleophile from-thz-side ~~p-osite the_-departins-group is
      more favorable than attack from thg s~me-side.
           The influence  of electron-donating  and -withdrawing  groups can best  be
      studied  by  use  of  the  Hammett  and  Taft  linear  free-energy  relationships,
      which  were discussed in  Chapter 2  (p. 60). Studies in  the bridgehead  bicyclo-
      [2.2.2]octyl  (16) and adamantyl  (17) series have been  carried out  by  Schleyer
      and Wo~dworth.~~ Correlations with the Taft inductive u*,,~ parameter had the
      negative slope expected for a reaction  accelerated by electron-donating  groups.
      The electron-donating  inductive  efiect of the  alkyl groups  increases  along  the











      series methyl  < ethyl  < isopropyl  < t-butyl. The rate difierences on which this
      order is based are small, a factor of 2 between methyl and t-butyl in 16 and of 3 in
      17. The position of hydrogen in the series is difierent in 16 and 17; this fact, and

      63 See note 35, and W. Parker, R. L. Tranter, C. I. F. Watt, L. W. K. Chang, and P. v. R. Schleyer,
      J. Amer. Chem. Soc.,  96, 712 1  (1974).
      54 P. V. R. Schleyer and C. W. Woodworth, J. Amer. Chem. Soc.,  90, 6528 (1968).
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