Page 62 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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ABCD and EFGH we can order A < B < C < D and E < F < G < H                           41
          on the basis that C–H bonding interactions outweigh C−C antibonding inter-
          actions arising from weaker p-p overlaps. Placement of the set ABCD in          SECTION 1.2
          relation to EFGH is not qualitatively obvious. Calculations give the results  Molecular Orbital
                                                                                      Theory and Methods
          shown in Figure 1.17. 54  Pictorial representations of the orbitals are given in
          Figure 1.18.
              The kinds of qualitative considerations that we used to construct the ethene MO
          diagram do not give any indication of how much each atomic orbital contributes to
          the individual MOs. This information is obtained from the coefficients provided by
          the MO calculation. Without these coefficients we cannot specify the shapes of the
          MOs very precisely. However, the qualitative ideas do permit conclusions about the
          symmetry of the orbitals. As will be seen in Chapter 10, just knowing the symmetry
          of the MOs provides very useful insight into many chemical reactions.


          1.2.5. Qualitative Application of MO Theory to Reactivity: Perturbational
                MO Theory and Frontier Orbitals
              The construction of MO diagrams under the guidance of the general principles and
          symmetry restrictions that we have outlined can lead to useful insights into molecular
          structure. Now we want to consider how these concepts can be related to reactivity. In
          valence bond terminology, structure is related to reactivity in terms of the electronic
          nature of the substituents. The impact of polar and resonance effects on the electron



                                     D           0.892
                                     σ ∗         0.845
                                     H           0.640
                                     G           0.621
                                     C           0.587
                                      π ∗        0.243
                                      π         – 0.371
                                      B         – 0.506
                                     F          – 0.562
                                      A         – 0.644
                                      E         – 0.782
                                      σ         – 1.01
                                     Fig. 1.17. Ethene mole-
                                     cular  orbital  energy
                                     levels. Energies are in
                                     atomic units. From W.
                                     L. Jorgensen and L.
                                     Salem,  The  Organic
                                     Chemists  Book  of
                                     Orbitals,  Academic
                                     Press, New York, 1973.

           54
             W. L. Jorgensen and L. Salem, The Organic Chemist’s Book of Orbitals, Academic Press, New York,
             1973.
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