Page 869 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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Computational studies have revealed some of the distinctive effects of Lewis    853
          acid catalysis on TS structure. MO (HF/6-31G*, MP2/6-31G*) and DFT (B3LYP/6-
          311+G(2d,p   calculations have been used to compare the structure and energy of  SECTION 10.2
          four possible TSs for the D-A reaction of the BF complex of methyl acrylate with  The Diels-Alder Reaction
                                                   3
          1,3-butadiene. The results are summarized in Figure 10.7. The uncatalyzed reaction
          favors the exo-cis TS by 0.38 kcal/mol over the endo-cis TS. For the catalyzed reaction,
          the endo TS with the s-trans conformation of the dienophile is preferred to the two
          exo TSs by about 0.8 kcal/mol. 48  Part of the reason for the shift in preferred TS is
          the difference in the ground state dienophile conformation. The s-trans conformation
          minimizes repulsions with the BF group. There is also a significant difference in
                                       3
          the degree of charge transfer between the uncatalyzed and catalyzed reactions, as
          reflected by the NPA   values. The catalyzed reaction has a much larger net transfer of
          electron density to the dienophile. The catalyzed reactions are less synchronous than
          the uncatalyzed reactions, as can be seen by comparing the differences in the lengths
          of the forming bonds.

                                                         F B
                                                          3
                               OCH 3         O              O
                              O
                                             OCH 3          OCH 3
                             s-cis        s-trans       s-trans-BF 3

                                 Relative Transition State Energies
                        Uncatalyzed reaction     BF 3 -catalyzed reaction

                                Rel E  NPA                   Rel E  NPA
                   s-cis Acrylate  0.00  –   s-cis Acrylate-BF 3  1.71  –
                   s-trans Acrylate  0.65  –  s-trans Acrylate-BF 3  0.00  –
                   endo-cis TS  0.38  0.005  endo-cis BF 3 TS  2.23  0.276
                   endo-trans TS  1.65  0.005  endo-trans BF 3 TS  0.00  0.225
                   exo-cis TS   0.00  0.006  exo-cis BF 3 TS  0.82  0.260
                   exo-trans TS  1.44  0.006  exo-trans BF 3 TS  0.83  0.216


              Visual models, additional information and exercises on the Diels-Alder
          Reaction can be found in the Digital Resource available at: Springer.com/carey-
          sundberg.

                                                      49
              Similar calculations have been done for propenal. For the uncatalyzed reaction,
          the endo-cis TS is slightly favored over the exo-cis; the two trans TSs are more than 1
          kcal/mol higher. The order is the same for the catalyzed reaction, but the differences are
          accentuated. The TSs for the catalyzed reactions are considerably more asynchronous
          than those for the uncatalyzed reactions. For example, for the reaction of butadiene
          and acrolein, the asynchronicity was measured as the difference in bond length of the
          two forming bonds.


                               d =  C 1 −C 1   − C 4 −C 2
           48   J. I. Garcia, J. A. Mayoral, and L. Salvatella, Tetrahedron, 53, 6057 (1997).
           49
             J. I. Garcia, J. A. Mayoral, and L. Salvatella, J. Am. Chem. Soc., 118, 11680 (1996); J. I. Garcia,
             V. Martinez-Merino, J. A. Mayoral, and L. Salvatella, J. Am. Chem. Soc., 120, 2415 (1998).
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