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304               stabilizing by delocalization (but we discuss the opposing polar effect of the halogens
                       below).
     CHAPTER 3
     Structural Effects on       H     R  H          H
     Stability and Reactivity                                    +
                                  C  N+     C  O+     C  F+   R  C  O     R  C  O  +
                                 H     R  H      R   H

                       The stabilizing effect of delocalization can be seen even with certain functional groups
                       that are normally considered to be electron withdrawing. For example, computations
                       indicate that cyano and carbonyl groups have a stabilizing resonance effect. This
                       is opposed by a polar effect, so the net effect is destabilizing, but the resonance
                       component is stabilizing.

                            R       O        R       O  +   R                R
                              C +  C            C  C          C +  C  N:       C  C  N: +
                            R       R        R       R      R                R
                                  Resonance stabilization of carbocations by electron pair donation

                           Table 3.11 shows some gas phase stabilization energies computed by various
                       methods. Columns A and B refer to stabilization of substituted methyl (methylium)
                       carbocations, whereas columns C and D are referenced to ethylium ions. Because these
                       values refer to the gas phase, where there is no solvation, the absolute stabilization
                       energies are substantially larger than those found in solution studies. Nevertheless,
                       the results provide a good indication of the relative effect of the various substituents
                       on carbocation stability. Note that of all the substituents included, only NO is
                                                                                         2
                       strongly destabilizing. The data for F, Cl, CN, and CH=O indicate small stabilization,
                       reflecting the compensating polar (destabilizing) and delocalization (stabilizing) effects
                       mentioned earlier.
                           The most wide-ranging and internally consistent computational comparison
                       of substituent effects on carbocation was reported by a group working in The



                            Table 3.11. Calculated Substituent Stabilization on Carbocations (in kcal/mol)
                                               +                          +
                                            CH 3                    CH 3 CH 2
                            Substituent  PM3 a  MP2/6-31G ∗∗b  MP2/6-311+G(d,p) c  B3LYP/6-311+G(d,p) c
                                      80 2
                            NH 2
                            CH 3 O    57 6
                            OH        51 4
                            Ph        56 3
                            CH 2 =CH  43 3      66 1          30 9             37 3
                                      29 0      41 5          17 1             23 4
                            CH 3
                            F          5 5                    6 0              7 1
                            Cl                                9 7              10 6
                            CN         5 0       4 3
                            CH=O       1 7       0 2
                                     −30 8     −22 3
                            NO 2
                            a. A. M. El-Nahas and T. Clark, J. Org.Chem., 60, 8023 (1995).
                            b. X. Creary, X.Y. Wang, and Z. Jiang, J. Am. Chem. Soc., 117, 3044 (1995).
                            c. K. van Alem, E. J. R. Sudholter, and H. Zuilhof, J. Phys. Chem. A, 102, 10860 (1998).
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