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interpreted in terms of frontier orbital theory. Depending on the relative orbital energies  529
              in the 1,3-dipole and dipolarophile, the strongest interaction may be between the
              HOMO of the dipole and the LUMO of the dipolarophile or vice versa. Usually   SECTION 6.2
              for dipolarophiles with EWGs the dipole-HOMO/dipolarophile-LUMO interaction is  1,3-Dipolar
                                                                                       Cycloaddition Reactions
              dominant. The reverse is true for dipolarophiles with ERG substituents. In some
              circumstances the magnitudes of the two interactions may be comparable. 141  When
              HOMO-LUMO interactions control regioselectivity, the reaction is said to be under
              electronic control. If steric effects are dominant, the reaction is under steric control.
                  The prediction of regiochemistry requires estimation or calculation of the
              energies of the orbitals that are involved, which permits identification of the frontier
              orbitals. The energies and orbital coefficients for the most common dipoles and
              dipolarophiles have been summarized. 141  Figure 10.15 of Part A gives the orbital
              coefficients of some representative 1,3-dipoles. Regioselectivity is determined by the
              preference for the orientation that results in bond formation between the atoms having
              the largest coefficients in the two frontier orbitals. This analysis is illustrated in
              Figure 6.12.
                  Apart from the role of substituents in determining regioselectivity, several other
              structural features affect the reactivity of dipolarophiles. Strain increases reactivity;
              norbornene, for example, is consistently more reactive than cyclohexene in 1,3-DCA
              reactions. Conjugated functional groups usually increase reactivity. This increased
              reactivity has most often been demonstrated with electron-attracting substituents, but
              for some 1,3-dipoles, enol ethers, enamines, and other alkenes with donor substituents
              are also quite reactive. Some reactivity data for a series of alkenes with several 1,3-
              dipoles are given in Table 10.6 of Part A. Additional discussion of these reactivity
              trends can be found in Section 10.3.1 of Part A.




                    +                                     +   –
              CH C  N  O –  +  CH CH   CH 2       CH CH  N  O    +   CH 2  CHCO CH 3
                                                                               2
                                                     3
                 3
                                  3
               LUMO(–0.5)         LUMO(+2)               CH 3           LUMO(0)
                                                   LUMO(–0.5)
                            dominant                                dominant
               HOMO(–11)          HOMO(–9)         HOMO(–9.7)           HOMO(–10.9)
                 0.56   0.21  0.80  α < β            0.65     0.15   0.74  β > α
                                                             +
                      +                               CH CH  N  O –   CH  CHCO CH 3
                                                                               2
                CH C  N  O –  CH CH  CH 2               3               2
                               3
                  3
                                                       HOMO  CH           LUMO
                   LUMO         HOMO                           3
                                 CH 3                                CO CH 3
                                                                       2
                  predicted                          predicted  O
                            O     CH                              N   CH 3
                              N     3
                                                                  CH 3
              Fig. 6.12. Prediction of regioselectivity of 1,3-dipolar cycloaddition on the basis of FMO theory. The
              energies of the HOMO and LUMO of the reactants (in eV) are indicated in parentheses.
              141
                 K. N. Houk, J. Sims, B. E. Duke, Jr., R. W. Strozier, and J. K. George, J. Am. Chem. Soc., 95,
                 7287 (1973); I. Fleming, Frontier Orbitals and Organic Chemical Reactions, Wiley, New York, 1977;
                 K. N. Houk, in Pericyclic Reactions, Vol. II, A. P. Marchand and R. E. Lehr, eds., Academic Press,
                 New York, 1977, pp. 181–271.
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