Page 899 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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883
                          X           E a         Degree of Asynchronicity
                                                                                         SECTION 10.3
                        N = O        −1 4               0.309
                                                                                           1,3-Dipolar
                        C≡N          +1 4               0.198
                                                                                    Cycloaddition Reactions
                        Cl           +10 1              0.107
                        OH           +13 2              0.154
                                     +14 3              0.025
                        CH 3
          Note that there is no barrier for the (hypothetical) reaction with dinitrosoethene.
          For X = N=O and C≡N, shallow energy minima for prereaction complexes were
          identified. The conclusion that can be drawn from this study is that stronger EWGs
          in the dipolarophile lead to greater electrophile/nucleophile character and higher
          reactivity. This is the same qualitative trend noted for D-A reactions (see p. 847). The
          nitrile ylide is clearly an electron donor in these reactions, which is consistent with
          the relatively high energy of the HOMO, as indicated in Figure 10.14.
              Computations were also applied to representative 1,3-dipoles in reaction with
          ethene. 125  The E and  E for the reactions were calculated using CCSD(T)/6-311G**
                        a
          energies at B3LYP/6-31G* structural minima.



                           1,3-Dipole    E a     E    Leading bond (Å)
                               +
                         H−C≡N -CH −   +6 9    −72 1      2.443
                                  2
                               +
                         H−C≡N −NH −   +6 9    −62 6      2.326
                         H−C≡N −O −    +11 4   −45 9      2.235
                               +
                         N≡N −CH −     +14 3   −37 0      2.225
                            +
                                 2
                         N≡N −NH  −    +17 2   −26 2      2.143
                            +
                         N≡N −O −      +23 5   −10 7      2.036
                            +
          A number of factors appear to be involved here. There is an Bell-Evans-Polyani type
          correlation with the most stable products (most negative  E  having the lowest E .
                                                                              a
          There is also a trend toward a later TS with the slower reactions, as indicated by the
          length of the leading bond in the TS. This is consistent with the Hammond postulate,
          with the smaller E correlating with an early TS. Within the 1,3-dipoles, there is a
                          a
          negative correlation with electronegativity. The most electrophilic 1,3-dipoles are the
          least reactive in this case. This trend suggests a dominant HOMO  -LUMO
                                                               dipole    dipolarophile
          interaction, but it also may reflect the strength of the bonds being formed, which
          decreases in the same direction.
              In broad terms, there is similarity in the reactivity and regiochemistry relationships
          for 1,3-DPCA and those of the D-A reaction. The most favorable reactions are those
          with the most complementary electronic character, that is, high nucleophilicity in one
          reactant with high electrophilicity in the other. Such reactions have high charge transfer
          character, early TS, and lower TS energy. Bond formation is more advanced in the TS
          between the most complementary pair of reaction centers and asynchronicity is high.
          The best match between HOMO and LUMO predicts the preferred regiochemistry.
          Relative reactivity trends should also be governed by these criteria, but as yet no broad
          quantitative analyses of relative reactivity have been developed.
          125
             M.-D. Su, H.-L. Liao, W.-S. Chung, and S.-Y. Chu, J. Org. Chem., 64, 6710 (1999).
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