Page 236 - Mechanism and Theory in Organic Chemistry
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Effects of Structure and Solvent  225
      he  stated  that  "the  faster  an  SNl . . . reaction,  the  more  ionic  its  transition
      state."34
          Since Hoffmann's  work appeared,  the koTs/kBr ratio has come into use  as
      one of the  tools for measuring transition  state charge separation.  Nevertheless,
      we might profitably examine the argument more closely. In Figures 5.2 and 5.3
      the  Hammond  postulate  is  the guide for  constructing reaction  coordinate  dia-
     grams of S,2  and S,l_pghways  in which some feature oTthe substrate structure
     or  mntcring greup mcleophi!icity-  cauw-a  Ehang< of rate, As
     we have seen in Section 4.3, Hoffmann's  proposal is -cord   with the rathale
       rovided by these diagram                    'gun~5$ : The reactions with
     he~~lcy-vee hfnarrxhgk earlier -___ transition _--- states with
                                  --
                                -
     less  charge  development  nn-the  leaving-gzoup;  these  are  the  cases with  small
      ko,,/kBr  ratios.  The faster S,l_r_e-ac&i_sns  (Figure 5.3) should-also-be-tho_se  with
                                      ex
                                                                     with
                                                                          large
                                                             the
                                                                ones
                                                         are
                                         erimentaI_lyl
                                                    these
     less charge development -----.--   (curve al- ->--.I----
                                -
       --
      koTs/kBr ratios.
          Using-dependence  of  rate  on  solvent,  a  technique  we  discuss further  in
      Section 5.4, Bingham  and Schleyer were unable to detect any significant varia-
     tion in transition state charge separation in a series of bridgehead  derivatives of
     varying rea~tivity.~~ They also pointed out a difficulty arising from Hoffmann's
     having based his conclusions on data drawn from reactions of tertiary, secondary,
     and even primary substrates. Hoffmann had  assumed that reactions carried out
     in solvents favorable to ion formation  (such as water or formic  acid) would  be
     limiting SN1 processes, and had concluded that the differences in koTs/kBr that he
     observed  with  different  substrates  arose  primarily  from  different  amounts  of
     charge separation at the transition state. It now appears that at least the primary
     substrates,  and  probably  also  the  secondary  ones,  solvolize  with  substantial
     assistance by  nucleophilic  attack  of  solvent. Bingham  and  Schleyer  have  pro-
     posed  that the more bulky  tosylate  is subject  to greater crowding in  a  tertiary
     substrate than is bromide, and   t these steric effects are largely responsible for
     the variations in koTs/kBr ratio.3 8 ur conclusion is that, as a measure of transition
     state charge  separation  in  limiting  S,1  reactions,  the  koTs/kBr ratio  is  of little
     us@e    shall return to the problem of location of the transition state along the
     reaction coordinate in Section 5.4.
          A_n  imzortant  neutral leaving group  is  N2. Diazotization  of alkyl  amines
      (Equation 5.11) leads to the unstable alkyl diazonium ions, which immediately
     lose nitrogen, leaving czrbocations.
            C-NH,  + HONO -
           R                                              R1
            t                                              I   +
                                                X- - N,  + X-  (5.11)
                                                          $2+
                                                           \
                                                        ~'2 R3
     Interpretation of the reactions of these ions has proved difficult. Product distribu-
     tions and stereochemistry differ from those typical of solvolysis  ;37 the large energy

     34  H. M. R. Hoffmann, J. Chem. Soc.,  6753, 6762  (1965).
     35  R. C. Bingham and P. v. R. Schleyer, J. Amer.  Chem. Soc.,  93, 3189 (1971).
     36 See note 35 and J. Slutsky, R. C. Bingham, P. v. R. %hieyer, W. C. Dickason, and H. C. Brown,
     J. Am. Chem. Soc.,  96, 1969 (1974).
     37 For further discussion see Section 6.1.
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