Page 505 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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486               The formation of the complex can be observed spectroscopically, and they subse-
                       quently disappear at a rate corresponding to the formation of bromination product. 36 37
     CHAPTER 5         The second step in bromination involves formation of an ionic intermediate, which
     Polar Addition    can be either a bridged bromonium ion or a  -bromocarbocation. Whether a bridged
     and Elimination
     Reactions         intermediate or a carbocation is formed depends on the stability of the potential cation.
                       Aliphatic systems normally react through the bridged intermediate but styrenes are
                       borderline cases. When the phenyl ring has an ERG substituent, there is sufficient
                       stabilization to permit carbocation formation, whereas EWGs favor the bridged inter-
                              38
                       mediate. Because this step involves formation of charged intermediates, it is strongly
                       solvent dependent. Even a change from CCl to 1,2-dichloroethane accelerates the
                                                             4
                                                            5 39
                       reaction (with cyclohexene) by a factor of 10 .
                                                Br
                                                                  Br +
                                                Br                                     Br
                                                                 CC       or     +  CC
                          C  C   +  Br 2       C  C
                                                               bromonium ion  β-bromocarbocation
                                              complex
                           The kinetics of bromination reactions are often complex, with at least three terms
                       making contributions under given conditions.

                                                                2
                                                                                  −
                               Rate = k  alkene	 Br 	+k  alkene	 Br 	 +k  alkene	 Br 	 Br
                                                                    3
                                                               2
                                      1
                                                                              2
                                                2
                                                     2
                       In methanol, pseudo-second-order kinetics are observed when a high concentration of
                                   40
                         −
                       Br is present. Under these conditions, the dominant contribution to the overall rate
                       comes from the third term of the general expression. In nonpolar solvents, the observed
                       rate is frequently described as a sum of the first two terms in the general expression. 41
                       The mechanism of the third-order reaction is similar to the process that is first order
                       in Br , but with a second Br molecule replacing solvent in the rate-determining
                                                2
                            2
                       conversion of the complex to an ion pair.
                                          Br                              –
                                              Br  Br         Br +  Br 3 –  Br 3
                                 Br 2     Br
                         C  C                        slow                   Br   fast
                                                           CC     or  +  CC            product
                                         C  C
                       There are strong similarities in the second- and third-order reaction in terms of
                       magnitude of 
 values and product distribution. 41b  In fact, there is a quantitative corre-
                       lation between the rate of the two reactions over a broad series of alkenes, which can
                       be expressed as
                                                          ‡
                                                   ‡
                                                 G =  G +constant
                                                   3
                                                          2
                        36
                          S. Fukuzumi and J. K. Kochi, J. Am. Chem. Soc., 104, 7599 (1982).
                        37
                          G. Bellucci, R. Bianchi, and R. Ambrosetti, J. Am. Chem. Soc., 107, 2464 (1985).
                        38   M.-F. Ruasse, A. Argile, and J. E. Dubois, J. Am. Chem. Soc., 100, 7645 (1978).
                        39
                          M.-F. Ruasse and S. Motallebi, J. Phys. Org. Chem., 4, 527 (1991).
                        40   J.-E. Dubois and G. Mouvier, Tetrahedron Lett., 1325 (1963); Bull. Soc. Chim. Fr., 1426 (1968).
                        41
                          (a) G. Bellucci, R. Bianchi, R. A. Ambrosetti, and G. Ingrosso, J. Org. Chem., 50, 3313 (1985);
                          G. Bellucci, G. Berti, R. Bianchini, G. Ingrosso, and R. Ambrosetti, J. Am. Chem. Soc., 102, 7480
                          (1980); (b) K. Yates, R. S. McDonald, and S. Shapiro, J. Org. Chem., 38, 2460 (1973); K. Yates and
                          R. S. McDonald, J. Org. Chem., 38, 2465 (1973); (c) S. Fukuzumi and J. K. Kochi, Int. J. Chem.
                          Kinetics, 15, 249 (1983).
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