Page 307 - Mechanism and Theory in Organic Chemistry
P. 307

results are shown in Equation 6.32, in which the numbers at the carbons of'the
             products  refer  to  the  percent  14C found  at  that  position  in  that  product.76












             A set of rapidly  equilibrating carbenium iocs might account for the rearrange-
             ments and the label scrambling; but this cannot be the correct explanation, for
             cyclopropylcarbinyl,  cyclobutyl,  and  allylcarbinyl  systems  all  solvolyze  much
             more rapidly than would be expected from model compounds. Thus, for example,
             the rate of solvolysis of cyclopropylcarbiny1 tosylate is lo6 times that of the solvent-
             assisted solvolysis of isobutyl  t~sylate.~~ Cyclobutyl tosylate  solvolyzes 1 1 times




                         Relative rate:     1 O8                 1
                                                  And
             more rapidly than cyclohexyl to~ylate.~~ allylcarbinyl tosylate in 98 percent




                            Relative rate:   11          1
             HCOOH solvolyzes 3.7  times  faster  than  its  saturated  analog, in  spite  of the
             electron-withdrawing effect of the double bond.79
                                        -0~s              -0~s
                           Relative rate:     3.7                1
                  Roberts  suggested that  a  set  of  charge-delocalized,  rapidly  egilkatmg
              carbon&m  ions, wh~ch he caiied bicyc~~~orn, ----- first-formed -
                                                           --
                                                                             ions
                                                                                 from
                                                            are
                                                               the
                                                                                 --
                                                                  .
                                                                      .
              anthree ~                   ~                    ~                   ~                   m                    ~                    ~                   ~                    ~                   ~                    &                    h                   t                   ~
              the hamination  - -.-. 14C-labeled - cyclopropylcarbinyl  amine  (Eggion  6.32).
                              of
                                                         --- --             A --
             According to  Roberts, _th_ere-w_&XTe  two  equivalent  first-formed  carbaniurn
              ions: - A three-center bond  could  be formed from  the develo-   e
              op C1 andZh-eT%;Gtals  on C,  and C,  (path a) or orbiislion  C,  a    s
                                                               ---_
              b). Once these carbonium ions were farmed,  they ~o~ldb~mverte&te-ei+y
                                                                                    of
                                                3*
              the~~hsSSinnScheme Equilibration  arrows should  be shown
              between all the structures, but their inclusion would further confuse this already
              conceptually  difficult  scheme.  Figure  6.8  shows  an  orbital  representation  of
              bicyclobutonium ion  (64).
              78 See note 74, p. 293.
              77 D. D. Roberts, J. Org. Chem.,  29, 294 (1964); 30, 23  (1965).
                H. C. Brown  and G. Ham, J. Amer. Chem. Soc.,  78, 2735  (1956).
              79  See note 75, p. 293.
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