Page 100 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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H                                    79
                                           H
                                                                                            TOPIC 1.1
                                                  C    C
                                   C    C
                                                                                        The Origin of the
                                                H                                    Rotational (Torsional)
                               H                                                     Barrier in Ethane and
                                                                                     Other Small Molecules
              The repulsive electronic interactions were emphasized in early efforts to under-
          stand the origin of the rotational barrier. 104  In particular the   character of the   ,
                                                                               z


            ,   , and   (see Figure 1.34) was emphasized. 105  The repulsive interactions among
               z
                     y
            y
          these orbitals are maximized in the eclipsed conformation.
              Efforts have been made to dissect the contributing factors within an MO
          framework. The NPA method was applied to ethane. Hyperconjugation was found to
          contribute nearly 5 kcal/mol of stabilization to the staggered conformation, whereas
          electron-electron repulsion destabilized the eclipsed conformation by 2 kcal/mol. 106
          These two factors, which favor the staggered conformation, are partially canceled by
          other effects. The problem is complicated by adjustments in bond lengths and bond
          angles that minimize repulsive interactions. These deformations affect the shapes and
          energies of the orbitals. When the effects of molecular relaxation are incorporated into







                                                    π '
                                    π '              y
                                     z

                                            σ
                                             x






                                    π              π y
                                     z


                                             σ '




                                              σ

                               Fig. 1.34. Molecular orbitals of ethane

                               revealing   character of   z ,   y ,   , and
                                                     z    y
                               orbitals. Only filled orbitals are shown.
          104   J. P. Lowe, J. Am. Chem. Soc., 92, 3799 (1970); J. P. Lowe, Science, 179, 527 (1973).
          105   E. T. Knight and L. C. Allen, J. Am. Chem. Soc., 117, 4401 (1995).
          106
             J. K. Badenhoop and F. Weinhold, Int. J. Quantum Chem., 72, 269 (1999).
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