Page 305 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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286

     CHAPTER 3
     Structural Effects on
     Stability and Reactivity



                                   A ‡   B ‡         A ‡     B ‡           A ‡   B ‡





                                                                       A      R     B
                                A    R     B      R      A       B
                                    case (a)           case (b)             case (c)

                                                                                      ‡
                                                                                 ‡
                            Fig. 3.8. Examples of reactions under kinetic and thermodynamic control. (a)  G < G ;
                                                                                 B
                                                                                      A
                                      ‡
                                 ‡
                            (b)  G < G ; (c) alternative mechanism for product equilibrium.
                                 A
                                      B
                       products, which is called kinetic control. Let us consider cases (a) to (c) in Figure 3.8.
                                                                                 ‡
                                                                                       ‡
                                       ‡
                       In case (a), the  G ’s for formation of the competing transition states A and B from
                                                                               ‡
                       the reactant R are substantially less than the  G ’s for formation of A and B from A
                                                                                     ‡
                                                              ‡
                                                       ‡
                       and B, respectively. If the latter two  G ’s are sufficiently large that the competitively
                       formed products B and A do not return to R, the ratio of the products A and B at
                       the end of the reaction will not depend on their relative stabilities, but only on the
                       relative rates of formation. The formation of A and B is effectively irreversible in these
                       circumstances. The reaction energy profile in case (a) corresponds to this situation and
                       is a case of kinetic control. The relative amounts of products A and B depend on the
                                                         ‡
                                                ‡
                       relative activation barriers  G and  G and not on the relative stability of products
                                                A       B
                                                    ‡
                                                           ‡
                       A and B. The diagram shows  G < G , so the major product will be B, even
                                                           A
                                                    B
                       though it is less stable than A.
                                                                                          ‡
                           Case (b) represents a situation of two successive reactions. The lowest  G is
                                                                               ‡
                                           ‡
                                                              ‡
                       that for formation of A from R. But, the  G for formation of B from A is not
                       much larger. The system in (b) might be governed by either kinetic or thermodynamic
                       factors. Conversion of R to A will be only slightly faster than conversion of A to B.
                       If the reaction conditions are carefully adjusted it will be possible for A to accumulate
                       and not proceed to the more stable product B. Under such conditions, A will be the
                       dominant product and the reaction will be under kinetic control. Under somewhat
                       more energetic conditions, for example, at a higher temperature, A will be transformed
                       into B. Under these conditions the reaction will be under thermodynamic control.
                       A and B will equilibrate and the product ratio will depend on the equilibrium constant
                       determined by  G for the reaction A   B.
                           In case (c), the solid reaction energy profile represents the same situation of
                       kinetic control as shown in (a), with product B (which is thermodynamically less
                                                          ‡
                                                    ‡
                       stable) being formed because  G < G . The dashed energy profile represents a
                                                   B      A
                       different set of conditions for the same transformation, such as addition of a catalyst
                                                                             ‡
                                                                                   ‡
                       or change of solvent, that substantially reduces the energy of A and B such that
                       interconversion of A and B is fast. This will result in formation of the more stable
                       product A, even though the barrier to formation of B remains lower. Under these
                       circumstances, the reaction is under thermodynamic control.
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