Page 190 - Mechanism and Theory in Organic Chemistry
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The Solvent, Substrate, Nucleophile, and Leaving Group  179

          It is only more recently that reactions of Charge type 4 have been known
     and studied, but the theory proposed by Hughes and Ingold predicted the results
     accurately here too, for the reaction of trimethylamine with trimethylsulfonium
     ion  (Equation 4.12)  proceeds more rapidly in nonpolar than in polar solvents.le


     In fact, most of the data that have accumulated since  1935 are qualitatively in
     accord  with  their  predictions,lg but  the predictions  should  not  be  used  indis-
     criminately without considering the effect the solvent may have on nucleophile
     and leaving-group reactivity  (see pp.  190-194).
     Substrate Alkylation
     It is  a  well-established fact_tzi_t S&  reactinnssccur  less  readily in molecules
     where the a or 6_c~hnshear_alkyl substituents. For example~~he relative reacti-
     vities shown in Table 4.1  are derived from studies of 15 different SN2 reactions in
     various solvents.  Several explanations have  been  proposed  for  this  trend.  The
     first supposes that alkyl groups bonded to saturated carbon are electron-donat-
     ing.20 According  to  this  hypothesis,  in  the  ground  state  the  central carbon is
     slightly  electron-deficient  because  of  the  electron-withdrawing  ability  of  the
     leaving group, but in the activated complex the positive charge on the carbon
     has diminished due to the presence of a second Lewis base with its unshared pair
     of electrons. Thus electron-donating groups stabilize the ground state more than
     the transition state and thereby increase the activation energy.21
          However, recent  experiments show that the polar22 influence of a methyl

     Table 4.1  AVERAGE RELATIVE SN2 RATES OF  ALKYL SYSTEMS
     R in R-X            Relative Rate
     Methyl
     Ethyl
     n-Propyl
     i-Propyl
     t-Butyl
     Neopentyl
     Ally1
     Benzyl
     SOURCE: Data from A.  Streitwieser,  Solvo1,ytic Displacement Reactions,  McGraw-Hill,  New York,  1962,
     p.  13. Reproduced by permission  of  McGraw-Hill.
     a  This value is not from Streitwieser  but  is  the reactivity of t-butyl  bromide  to SN2 substitution  by
     free C1-  in DMF at 25°C relative to the reactivity of CH,Br  under  the same conditions [D.  Cook
     and A. J. Parker, J. Chem. Soc. B, 142 (1968)l. This value is corrected for the substitution that actu-
     ally precedes  by  an elimination addition mechanism.

     la E.  D. Hughes and D. J. Whittingham, J. Chem. Soc.,  806 (1960).
     lB For other examples see:  (a) note  15, p.  177; (b) C.  K.  Ingold, Structure  and  Mechanism  in  Organic
     Chemistry, 2nd ed.,  Cornell University Press, Ithaca, N.Y.,  1969, pp. 457-463.
     ao  (a) C. N. Hinshelwood, K. J. Laidler, and E. W. Timm, J. Chem. Soc., 848 (1938); (b) P. B. D. de
     laMare, L. Fowden, E. D. Hughes, C. K. Ingold, and J. D. H. Mackie, J. Chem. Soc., 3200 (1955).
     a1 A.  Streitwieser,  Solvolytic Displacement  Reactions,  McGraw-Hill, New York,  1962, p.  14.
     an The termpolar effect refers to the influence, other than steric, that nonconjugated  substituents exert
     on reaction  rates.  It does  not  define  whether  the  mechanism for its transmission  is  through  bonds
      (inductive effect) or through space  (field effect).
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