Page 910 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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894                                                    CH 3                 CH 3
                                 CH 3         CH                 132 °C
     CHAPTER 10                                 3
     Concerted Pericyclic                                                       CH 3
     Reactions                         E,Z,E
                                            7               CH 3
                                                      disrotation
                                                           CH 3                 CH 3
                                             CH 3                132 °C
                                                           CH
                                CH 3                         3                  CH 3
                                      E,Z,Z
                                            8
                                                      disrotation


                       10.5.2. Orbital Symmetry Basis for the Stereospecificity of Electrocyclic
                              Reactions
                           A mechanistic description of electrocyclic reactions must explain not only the high
                       degree of stereospecificity, but also why four  -electron systems undergo conrotatory
                       reactions, whereas six  -electron systems undergo disrotatory reactions. Woodward
                       and Hoffman proposed that the stereochemistry of the reactions is controlled by the
                       symmetry properties of the highest occupied molecular orbital (HOMO) of the reacting
                       system. 169  The idea that the HOMO should control the course of the reaction is another
                       example of frontier molecular orbital theory (FMO), which holds that it is the electrons
                       of highest energy, i.e., those in the HOMO, that are of prime importance in determining
                       the course of the reaction (see p. 43). 170
                           Why do the symmetry properties of the HOMO determine the stereochemistry of
                       the electrocyclic reaction? For convenience, let us examine the microscopic reverse
                       of the ring opening. The stereochemical features of the reaction are the same in
                       both the forward or reverse directions. For conjugated dienes, the HOMO is 
 . For
                                                                                        2
                       bonding to occur between C(1) and C(4), the positive lobe on C(1) must overlap
                       with the positive lobe on C(4) (or negative with negative, since the signs are inter-
                       changeable). This overlap of lobes of the same sign can be accomplished only by a
                       conrotatory motion. Disrotatory motion causes overlap of orbitals of opposite sign,
                       leading to an antibonding overlap that would preclude bond formation. Other conju-
                       gated dienes have identical orbital symmetries, so the conrotatory mode is preferred for
                       all thermal electrocyclic processes of 1,3-dienes. The conrotatory process is illustrated
                       in Figure 10.21.





                             ψ (no nodes)   ψ (one node)   conrotatory
                                             2
                              1
                                                           closure
                               Fig. 10.21. Symmetry properties of the occupied   orbitals of a conjugated diene.

                       169   R. B. Woodward and R. Hoffmann, J. Am. Chem. Soc., 87, 395 (1965).
                       170
                          K. Fukui and H. Fujimoto, in Mechanisms of Molecular Migrations, Vol. 2, B. S. Thyagarajan, ed.,
                          Interscience, New York, 1968, p. 117; K. Fukui, Acc. Chem. Res., 4, 57 (1971); K. Fukui, Angew.
                          Chem. Int. Ed. Engl., 21, 801 (1982).
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