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Electrophilic Aromatic Substitution  389

      Table 7.16 RELATIVE RATES OF  AROMATIC SUBSTITUTIONS  ~LATIVE u AND n
                                                    AND
               COMPLEX STABILITIES  METHYLBENZENES
                                OF
                         Relative      Relative    Relative Rate   Relative Rate
                        u Complex     rr Complex   of Bromination,   of Chlorina-
      Benzene            Stability     Stability    Br,  in 85%    tion,  C1,  in
      Derivative     (ArH + HF-BF,)'   with HCla      HOAc           HOAc
      H                          1       1 .o               1              1
      Methyl                   790       1.5              605            340
      1,2-Dimethyl            7,900      1.8             5,300          2,030
      1,3-Dimethyl         1,000,000     2.0           5 14,000       180,000
      1,4-Dimethyl            3,200      1.6             2,500          2,000
      1,2,3-Trimethyl     2,000,000      2.4          1,670,000       -
      1,2,4-Trimethyl     2,000,000      2.2          1,520,000       -
      1,3,5-Trimethyl    630,000,000     2.6        189,000,000    30,000,000
      1,2,3,4-Tetra-      20,000,000     2.6         1 1,000,000      -
        methyl
      1,2,3,5-Tetra-   2,000,000,000     2.7        420,000,000       -
        methyl
      1,2,4,5-Tetra-      10,000,000   ,   2.8        2,830,000      1,580,000
        methyl
      Pentamethyl      2,000,000,000      -         8 10,000,000   134,000,000
      SOURCE: G.  A.  Olah,  Accts.  Chem.  Res.,  4, 240  (1971). Reprinted  by  permission  of  the American
      Chemical Society.
      a From equilibrium constant measurements.
      stabilize n complexes. Thus  1,2,3,5-tetramethylbenzene forms  a complexes that
      are 2 billion times more stable than those of toluene, but its .rr complexes are only
      more stable than those of toluene by a factor  of 3.  The rate  of  bromination  of
      benzene derivatives also increases  drastically  with methyl  substitution; and the
      relative  rates  are  very  similar  to  the  relative  stabilities  of  the  a  complexes.
      Apparently the  transition state resembles  the  a complex. As  Table 7.16  shows,
      there is also a close correlation between rates of chlorination in acetic acid and a
      complex stability.
           Now  that we  have  determined  that the  intermediate  in electrophilic  aro-
      matic substitution is usually a a complex (see, however, p. 394), let us return to a
      consideration  of  Reaction  7.76.  Two  factors  probably  combine  to  cause  the
      observed  isotope  effect  and  base  catalysis.  First,  the  strong  electron-donating
      groups stabilize the intermediate 76 (Equation 7.77) and make departure of the
      proton more difficult than proton loss in many other electrophilic substitutions.
      [Remember,  however,  that  k,  < k,  (see  p.  386).]  Second,  steric  interactions
      between the large diazonium group and the nearby substituents increase the rate
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