Page 1124 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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indicate the importance of reactant conformation in influencing the reaction outcome.  1109
          By contrast, the ring opening of cyclobutenes is more complex. In Topic 12.1 we take
          a look at the computational interpretation of these results.                   SECTION 12.2
                                                                                       Photochemistry of
                                                                                      Alkenes, Dienes, and
                                                                                             Polyenes
          12.2.6. Photochemical Cycloaddition Reactions

              As described on p. 1098, the original orbital symmetry interpretation of alkene
          [2 +2 ] cycloaddition was in terms of a suprafacial transition structure with a rectan-
          gular geometry. This arrangement leads to a photochemical process that is allowed by
          orbital symmetry criteria. Early experimental work also provided examples of stere-
          ospecific [2  +2 ] cycloadditions, lending support to a concerted reaction path. For
          example, dimerization of Z-2-butene gives two products that retain cis-methyl groups.
          The adducts from E-2-butene have trans-methyl groups. 82  This establishes that the
          configuration is retained at both alkene double bonds during the formation of the
          dimers.

                                        CH 3    CH 3   CH 3    CH 3
                       CH 3  CH 3                    +
                                         CH 3    CH 3   CH 3    CH 3

                                        CH 3    CH     CH      CH
                        CH 3                       3     3        3
                                                     +
                              CH 3
                                         CH 3   CH 3    CH 3    CH 3

              The prototypical ethene + ethene cycloaddition has been explored computationally
          and a somewhat different picture has emerged. 83  The CI for ethene dimerization is
          calculated to be rhomboid. 84

                                          H
                                            2.28  H
                                            2.19  1.49
                                         H     H


          These computations lead to an energy surface featuring the rhomboid CI, which can
          lead to formation of cyclobutane or separation into two ethene molecules, as shown
          in Figure 12.22. Point E is the rhomboid CI that permits rapid return to the ground
          state surface. The process is expected to be very fast and this is consistent with the
          observed retention of alkene stereochemistry in substituted cases. In contrast to the
          pathway through the rhomboid CI, a completely symmetrical rectangular approach
          does not lead to minima.


           82
             H. Yamazaki and R. J. Cvetanovic, J. Am. Chem. Soc., Chem. Commun., 91, 520 (1969).
           83   F. Bernardi, S. De, M. Olivucci, and M. A. Robb, J. Am. Chem. Soc., 112, 1737 (1990); F. Bernardi,
             A. Bottini, M. Olivucci, A. Venturini, and M. A. Robb, J. Chem. Soc., Faraday Trans., 90, 1617 (1994).
           84
             F. Bernardi, M. Olivucci, and M. A. Robb, Pure Appl. Chem., 67, 17 (1995).
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