Page 896 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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880                   +  –        +  –       +  –        +  –        +  –         +  –
                       HN  N  N   H C  N  O  H C  N  N    HC  N  O    HC  N  NH   HC  N  CH 2
                                   2
                                              2
     CHAPTER 10          azide      nitrone  diazoalkane  nitrile oxide  nitrile imine  nitrile ylide
     Concerted Pericyclic                          +1.8
     Reactions                                                                          + 0.9
                            +0.1                                             +0.1
                                         – 0.5                – 0.5


                                                                                        –7.7
                                                   –9.0                      –9.2
                                         –9.7
                                                              –11.0
                            –11.5

                       Fig. 10.14. Estimated energies (eV) of frontier   MOs for some 1,3-dipoles. Data from J. Am. Chem. Soc.,
                       95, 7287 (1973).



                       of the interacting orbitals, it is possible to make predictions of the regiochemistry
                       of 1,3-DPCA reactions. The most important dipolarophiles are the same types of
                       compounds that are dienophiles in the D-A reaction. The orbital coefficients given
                       in Figure 10.5 can be used in analyses of 1,3-DPCA reactions. In conjunction with
                       the orbital coefficients given in Figure 10.15, this information allows conclusions as
                       to which HOMO-LUMO combination will interact most strongly for a given pair of
                       reactants.
                           This procedure is illustrated for two specific cases in Figure 10.16. The reaction
                       of a nitrile oxide with an alkene is considered on the left. The smallest energy gap is for
                       the alkene HOMO and the 1,3-dipole LUMO. This is qualitatively reasonable in that
                       the atoms in the 1,3-dipole are more electronegative than those in the dipolarophile.
                       Reference to Figure 10.15 shows that the LUMO coefficient is largest at carbon for
                       the nitrile oxide group. The largest coefficient for a terminal alkene HOMO is at C(1).
                       The matching of the largest coefficients of the 1,3-dipole LUMO and the dipolarophile
                       HOMO leads to the predicted (and observed) product. The same procedure can be
                       applied to the case shown at the right of Figure 10.16. In this case, the 1,3-dipole is
                       the nucleophile and the dipolarophile is the electrophile. The largest coefficient of the
                       nitrone HOMO is at oxygen and the largest coefficient for the acrylate ester LUMO
                       is at the  -carbon.
                           Although the FMO approach provides a good foundation for understanding
                       the regioselectivity of 1,3-cycloadditions, there are many specific cases in which it
                       fails to provide a complete understanding. Steric factors are not considered by the
                       FMO analysis and in many instances steric factors control regiochemistry. 1,3-DPCA
                       can be broadly classified as sterically controlled or electronically controlled. There
                       may also be specific interactions in the TSs that are not considered by the FMO
                       analysis.
                           There have been many studies of individual systems by MO and DFT methods and
                       these provide further insight into the factors that control regio- and stereoselectivity.
                       For example, there are two possible regioisomers from the reaction of diazomethane
                       and methyl vinyl ether, but only the 3-methoxy isomer is formed. Calculations at
                                                                        ∗
                       several levels of theory (AM1, HF/6-31G, and MP2/6-31G ) found lower activation
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