Page 933 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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H  D                D                                       917

                                                                                         SECTION 10.6
                                                                                           Sigmatropic
                                                                                         Rearrangements
                                                   H  H
                                                                          Ref. 221



                               CH 3                 CH 3
                                              o
                                   CH 2    550  C       CH 3
                                    CH 3                 CH 2
                                  CH 3               CH 3
                                                                          Ref. 222

              Sigmatropic shifts of hydrogens have been systematically examined in cyclic
          systems. Early studies demonstrated equilibration among the methylcyclopenta-
          dienes 223  and methylcycloheptadienes by 1,5-hydrogen shift. 224

               CH 3          CH 3         CH 3





                    CH 3            CH 3              CH 3               CH 3





                                           ∗
          Computational studies (B3LYP/6-31G ) have been carried out on cyclopen-
          tadiene (E = 27 kcal/mol), 225  1,3-cyclohexadiene (E = 41 9 kcal/mol), 226  1,3-
                                                         a
                    a
          cycloheptatriene  (E = 32.7–35.3 kcal/mol), 227  and  1,3-cyclooctadiene  (E =
                            a                                               a
          32 2 kcal/mol). 226  In each case, there is reasonable agreement with experimental data.
          The energy requirement depends on the structure of the TS, which is influenced by
          the ring geometry. For example, in methyl-substituted 1,3-cycloheptadienes, there are
          seven minima and seven TS for [1,5]-sigmatropic shifts. The E range from 29.6
                                                                a
          (4→TS34) to 35.3 (2→TS34) kcal/mol. These energy relationships are depicted in
          Figure 10.35.
              Like the thermal 1,3-hydrogen shift, a 1,7-hydrogen shift is allowed when
          antarafacial but forbidden when suprafacial. Because a   system involving seven
          carbon atoms is more flexible than one involving only three carbon atoms, the geomet-
          rical restrictions on the antarafacial TS are not as severe as in the 1,3-case. For the
          conversion of Z,Z-1,3,5-octatriene to Z,Z,E-2,4,6-octatriene, the E is 20.2 kcal/mol.
                                                                 a

          221
             A. P. ter Borg, H Kloosterziel, and N. Van Meurs, Proc. Chem. Soc., 359 (1962).
          222
             J. Wolinsky, B. Chollar, and M. D. Baird, J. Am. Chem. Soc., 884, 2775 (1962).
          223   V. A. Mironov, E. V. Sobolev, and A. N. Elizarova, Tetrahedron, 19, 1939 (1963).
          224
             V. A. Mironov, O. S. Chizhov, I. M. Kimelfeld, and A. A. Akhrem, Tetrahedron Lett., 499 (1969).
          225   I. Alkorta and J. Elguero, J. Chem. Soc., Perkin Trans. 2, 2497 (1998).
          226   B. A. Hess, Jr., and J. E. Baldwin, J. Org. Chem., 67, 6025 (2002).
          227
             B. A. Hess, Jr., Int. J. Quantum Chem., 90, 1064 (2002).
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