Page 784 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
P. 784

b. Figure 8.P14(a, b) gives the computed minimum-energy structure at         767
                                                                     2
                   the MP4(SDQ)/6-31G(d) level. Diagram (c) is the −   (r)inthe
                                                                                           PROBLEMS
                   C(1)−C(2)−C(9) plane. Does this structure correspond to any of those you
                   have suggested in Part (a)? What structural representation would be most
                   consistent with the calculated minimum-energy structure?

          8.15.  a. The heats of combustion (	H   and heats of hydrogenation (	H   for
                                            c
                                                                          H 2
                   addition of 1 mol of H and the estimated stabilization energy (SE) for
                                       2
                   benzene and cyclooctatetraene (in kcal/mol) are given below. The 	H and
                                                                            c
                   	H   are also given for [16]annulene. Compare the stabilization energy of
                      H 2
                   [16]annulene with benzene and cyclooctatetraene on a per CH basis.


                                 Benzene  Cyclooctatetraene  [16]Annulene
                                 781         1086         2182
                           	H c
                                 −5 16       25.6         28.0
                           	H H 2
                           SE    36           4            ?


                 b. The enthalpies of the reaction of the cyclooctatetraene and [16]annulene
                   dianions with water have been measured.


                                  2Na  C H   2−  +2H O → C H n+2  +2NaOH
                                     +
                                           n
                                        n
                                                      l
                                                  2
                                                           n
                                  	H =−33 33kcal/mol for cyclooctatetraene
                                  	H =−10 9kcal/mol for [16]annulene.
                   Using these data and the enthalpy of the reaction of sodium with water:
                             2Na +2H O → 2NaOH      aq   +H 	H =−88 2kcal/mol
                                                         2
                                      2
                                         l
                                 s
                   calculate 	H for the reaction:
                                                        +
                                      2Na +C H → 2Na + C H       2−
                                               n
                                                             n
                                                 n
                                                                n
                                           s
                   Why might the reaction of [C H   2−  with water be less exothermic than
                                               16
                                            16
                            2−
                   for [C H   ? How do you interpret the difference in the heat of reaction
                        8
                          8
                   of the two hydrocarbons to form the respective dianions?
          8.16. Consider the two structures shown for kekulene, one suggesting inner and outer
                                                                1
               annulenes and the other a series of phenanthrene-like units. H-NMR and bond
               length data are given. The NICS values are calculated as −4 3 for the angularly
               fused rings and −10 8 for the linearly fused rings. Indicate properties that
               you would expect to be associated with each structure. Do you consider the
               properties to be more consistent with the double-annulene or the phenanthrene-
               like structures?
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