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Carbonium Ions  315

      carbocations,  1,3-,  1,4-,  1,5- and  1,6-hydride  shifts occur  readily.127 "Trans-
      annular shifts"  were first noted when unexpected  products were found128*129 in
      the  peroxyformic  acid  oxidation  of  medium-ring  alkenes. For  example,  cyclo-
      octene gave, in addition to minor amounts of the expected tram-1,2-diol, cyclo-
      octane-cis-1,4-diol  and  3-  and  4-cyclooctene-01s.  Either  a  1,3- or  1,5-hydride
      shift could bring about formation of the  1,4-diol and of the unsaturated alcohols
       (see Scheme 9). That both  orders  of  hydride  shift  take  place  in  this  reaction
      was shown by Cope and co-workers, who treated 5,6-d2-cyclooctene oxide (102)
      with 90 percent formic acid and, by determining the position of deuterium in the










      products, ascertained that  1,5-migration accounted for 94 percent of the forma-
      tion of 3-cycloocten-  1-01 and 6 l percent of the  l ,4-dio1.130
           The fact  that only  tram-1,2- and cis-1,4-glycols  are obtained  implies that
      they cannot actually be formed by the simplified mechanism in Scheme 9.  The
      carbenium ions 99-101  should give a mixture of cis and trans glycols. However,
      the reaction can  be  neither entirely concerted, as shown for a  1,5-hydride shift
      in Equation 6.46, nor involve initial formation of a carbonium ion, as shown in
      Equation  6.47: The k,/k,  isotope effects are too small for CLH bond breaking
















      to  be  involved  in  the  rate-determining  step.131 The  mechanism  is  probably
      similar to that shown in Equation 6.48, in which the slow step is breaking of the
       C-0   bond  (although  some  stereochemical-preserving  attraction  remains).



       12'  For reviews, see: (a) V. Prelog and J. G. Traynham, in Molecular  Rearrangements,  P. Mayo, Ed.,
       Wiley-Interscience,  New  York,  1963, Vol.  I, p.  593;  (b) A.  C.  Cope,  M.  M.  Martin,  and  M.  A.
       McKervey, Quart. Rev.  (London), 20,  1 19 (1966).
       las (a) A. C. Cope, S. W. Fenton, and C. F. Spencer, J. Amer. Chem. Soc.,  74, 5884 (1952); (b) A.  C.
       Cope, A.  H. Keough,  P. E. Peterson, H. E. Simmons, Jr.,  and G. W. Wood, J. Amer. Chem. Soc.,  79,
       3900  (1957).
           .
              .
       lag V.  Prelog and K.  Schenker, Helv. Chim. Acta,  35, 2044 (1952).
       laO A.  C. Cope, G. A.  Berchtold, P.  E.  Peterson, and S. H. Sharman, J. Amer. Chem. Soc.,  82, 6366
       (1960).
       lal A.  A.  Roberts and C. B.  Anderson,  Tetrahedron Lett., 3883 (1969).
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