Page 77 - Mechanism and Theory in Organic Chemistry
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k                                   k
                log -                              log -
                  ko                                  ko







               Figure 2.2  Bromination of monosubstituted benzenes in acetic acid. From H. C. Brown and
                         Y.  Okamoto, J. Amer.  Chem. Soc.,  80, 4979  (1958). Reprinted  by  permission  of
                         the American Chemical Society.


                an and a0 Constants
                a+ and a- constants have been widely and successfully used. However, they have
                also been strongly criticized by Wepster"  and by Taft.12 Both investigators pre-
               dicted that the ability of a substituent to interact with a reaction site by resonance
               should depend on the exact nature of the reaction  as well as on the substituent
                and there should, therefore, be a whole spectrum of a values for every substituent.
               Wepster introduced the an constant as the "normal"  a value, representative only
               of  inductive  effects  and  free  of  all  resonance  effects.  The constants  for  m-C1,
               m-CH,,  and m-NO,  were  taken  by Wepster  as primary  an values.13 The a,,,,
                constants  were  rejected  because,  even  in  the  absence  of  through-resonance,
                resonance  can  effect the electron  supply at the site of reaction.  (Consider, for
                example, the contribution from Structure 14 to the anion ofp-nitrobenzoic acid.








               There is no through-resonance  between the nitro group and the negative charge
               on  the carboxylate  group.  However,  the partial  positive  charge,  which  results
               from electron-withdrawing resonance by the nitro group, on the ring carbon that
               bears the carboxylate does stabilize the negative charge.) Using only the primary
                an values,  p  for  any reaction  of  interest  is  calculated.  Once p  for  a  reaction  is
               known, the  a constants of all other substituents for that reaction  can be found.


                l1 (a) H. van Bekkum, P. E. Verkade, and B.  M. Wepster, Rec.  Trav. Chim. Pays-Bar, 78, 815 (1959);
               (b) A. J. Hoefnagel,.J. C. Monshouwer, E.  C. G. Snorn, and  B.  M. Wepster, J. Amer. Chem. SOC., 95,
               5350 (1973).
                l2 R.'w.  aft, ~r. and I. C. Lewis, J. Amer. Chem. Soc.,  80,2436 (1958); 81,5343 (1959); R. W. Taft,
                Jr.  and I. C.  Lewis,  Tetrahedan, 5,  2 10 (1959).
               l3 The  u  constants  obtained  for  substituents  electron-donating  by  resonance  that  are  para  to  a
               reaction site that becomes electron-rich, and for substituents electron-withdrawing  by resonance that
                are para to a reaction site that becomes electron-deficient, were also taken as un values, since in these
               cases there would  be no stabilization  by  resonance.
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