Page 68 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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ψ 4  +.283                     47
                                ∗
                      LUMO     π .+243
                                                        LUMO     ψ 3  +.127               SECTION 1.2
                                       LUMO                                            Molecular Orbital
                      HOMO     π  –.371                HOMO      ψ 2  –.358           Theory and Methods
                                                                 ψ
                                      HOMO      –.473             1  –.477

                                                –.516
                         CH 2  CH 2                      CH 2  CHCH  CH 2
                                       CH 2  CHCH  O

                π MO energy levels in au for ethylene with a π-acceptor substituent. From Ref 54.
          The LUMO, which is the frontier orbital in reactions with nucleophiles, has a larger
          coefficient on the ß-carbon atom, whereas the two occupied orbitals are distorted in
          such a way as to have larger coefficients on the oxygen. The overall effect is that
          the LUMO is relatively low lying and has a high coefficient on the ß-carbon atom.
          Frontier orbital theory therefore predicts that nucleophiles will react preferentially at
          the ß-carbon atom.
              MO orbital calculations at the HF/6-31G level have been done on both propenal
                                               ∗∗
          and ethenamine. The resulting MOs were used to calculate charge distributions.
          Figure 1.21 gives the electron densities calculated for butadiene, propenal, and
          aminoethyene. 58  We see that the C(3) in propenal has a less negative charge than the
          terminal carbons in butadiene. On the other hand, C(2), the  -carbon in ethenamine,
          is more negative.
              The MO approach gives the same qualitative picture of the substituent effect as
          described by resonance structures. The amino group is pictured by resonance as an
          electron donor, indicating a buildup of electron density at the ß-carbon, whereas the
          formyl group is an electron acceptor and diminishes electron density at the ß-carbon.

           CH 2  CH  NH 2    CH 2  CH  NH 2 +  CH 2  CH  CH  O  + CH 2  CH  CH  O –

          The chemical reactivity of these two substituted ethenes is in agreement with the MO
          and resonance descriptions. Amino-substituted alkenes, known as enamines, are very
          reactive toward electrophilic species and it is the ß-carbon that is the site of attack.
          For example, enamines are protonated on the ß-carbon. Propenal is an electrophilic
          alkene, as predicted, and the nucleophile attacks the ß-carbon.

                               +0.21      + 0.24             + 0.21
                    + 0.23
                         H   H             H  – 0.35         H
                                                       + 0.21  + 0.04
                    H                  H       O         H        H + 0.40
                   – 0.41      H     – 0.34   + 0.48   – 0.56  N  – 0.91
                       H   H             H   H             H   H
                          + 0.22
                      (a) butadiene   (b) propenal        (c) ethenamine

                   Fig. 1.21. Charge distribution in butadiene, acrolein, and aminoethylene based on
                   HF/6-31G calculations. From J. Org. Chem., 59, 4506 (1994).
                         ∗
           58
             M. A. McAllister and T. T. Tidwell, J. Org. Chem., 59, 4506 (1994).
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