Page 1156 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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1141
                                  β
                                                           H                               TOPIC 12.1
                                                    plane
                                                                                         Computational
                                                               α 1
                                                                                    Interpretation of Diene
                                                       H           H
                              90.                                                          and Polyene
                                                                                         Photochemistry
                                                              β
                                                  α 1
                               0.
                                                       H
                                                                   H
                           90.                                α 2
                                                           H
                       α 2
                               90.

                      Fig. 12.28. Reaction cube locating the butadiene conical intersection in
                      relation to rotation at each of the bonds. The shaded area in the center
                      represents the location of the conical intersection with all bond rotations
                      near 90 . The open circles represent initial excited states. The energy

                      surface in Figure 12.27 represents the diagonal plane bisecting the cube.
                      Reproduced from J. Am. Chem. Soc., 115, 3710 (1993), by permission
                      of the American Chemical Society.


          at the MC-SCF/4-31G level of computation. 173a  CASPT2 theory, which is appropriate
          for excited states with large ionic character, 176  gives a similar description of the CI. 177
          Other descriptions of the butadiene excited surface have also been developed, 178	179
          including explicit consideration of the formation of bicyclo[1.1.0]butane by 1,3-
          bonding. 180
              The energy profile in Figure 12.30 compares the disrotatory and conrotatory paths
          for cyclization. There is no barrier on the disrotatory path but the conrotatory path


                     D(1,2,3,4) = 46°     D(1,2,3,4) = 119°        D(1,2,3,4) = 72°
                                                                1
                                       1
                  1                        2.193                    2.173
                     2.033
                                    1.463                    1.446
             1.451     1.447              98°  1.460              96°  1.479
                   90°                   2    3    4             2
                  2    3   4              1.447 120°              1.481  3  4
                   1.433                                             125°
                     122°
                      (a)                    (b)                    (c)
             Fig. 12.29. Structure of the 1,3-butadiene conical intersections from CAS(6,6)/6-31G* computa-
             tions: (a) cisoid, (b) transoid, (c) central. Reproduced from Photochem. Photobiol., 76, 616 (2002),
             by permission of Elsevier.

          176   C. S. Page and M. Olivucci, J. Comput. Chem., 24, 298 (2003).
          177   B. Ostojic and W. Domcke, Chem. Phys., 269, 1 (2001); R. P. Krawczyk, K. Malsch, G. Hohlneicher,
             R. C. Gillen, and W. Domcke, Chem. Phys. Lett., 320, 535 (2000).
          178
             S. Saki, Chem. Phys. Lett., 287, 263 (1998); R. P. Krawczyk, K. Malsch, G. Hohlneicher, R. C. Gillen,
             and W. Domcke, Chem. Phys. Lett., 320, 535 (2000).
          179   M. Olivucci, I. N. Ragazos, F. Bernardi, and M. A. Robb, J. Am. Chem. Soc., 115, 3710 (1993);
             M. Olivucci, F. Bernardi, S. Ottani, and M. A. Robb, J. Am. Chem. Soc., 116, 2034 (1994).
          180
             S. Sakai, Chem. Phys. Lett., 319, 687 (2000).
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