Page 324 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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Table 3.12. Computed Substituent (De)Stabilization of Carbocation (in kcal/mol) a  305
             X           Ethyl       Vinyl         X           Ethyl       Vinyl          SECTION 3.4
          H                0 00        0 00       C≡N         −16 02       −11 71    Electronic Substituent
                                                                                       Effects on Reaction
                          18 63       25 89       CH=O        −10 25        −4 51
          CH 3
                                                                                          Intermediates
          CH 2 OH         15 30       21 69       CO 2 H       −8 41        −5 92
          CH 2 CN        −2 10         4 76       H 2 N         64 96       53 69
          CH 2 Cl          5 59       12 90       HO            37 43       25 92
                           3 62        9 63       O 2 N       −23 09       −25 44
          CH 2 CF 3
          CH 2 F           4 98       10 89       F             6 95        −9 25
                         −23 56      −16 41       Cl            9 83        11 17
          CF 3
          CH 2 =CH        31 98       25 64       Br            9 52        12 70
          HC≡C            18 17       25 64       I             13 32       20 53
                          36 77       54 10
          C 6 H 5
                          42 97       47 06
          c-C 3 H 5
          a. K. van Alem, G. Lodder, and H. Zuilhof, J. Phys. Chem., 106, 10681 (2002).
          Netherlands. 71  This study compared MP2/6-311++G(d,p), CBS-Q, and B3LYP/6-
          311+G(d,p) calculations and found that the CBS-Q method gave the best correlation
          with experimental data. There was also good correlation with MP2 and B3LYP results,
          which could be used to obtain “CBS-Q-like” results when the CBS-Q method was not
          applicable. Table 3.12 gives some of the computed stabilization  +  and destabilization
           −  relative to ethyl and vinyl cations found using isodesmic reactions:

                     H C  CH 3  + H 3 C  CHX     H C  CH X  +  H CCH 2 +
                      3
                                                  3
                                                        2
                                                               3
                                      +
                     H C  CH 2  + H 2 C  CX      H 2 C  CHX  + H C  CH
                      2
                                                               2
                                      +                            +
          The results show substantial destabilization for CF , CN, CH=O, CO H, and NO 2
                                                                     2
                                                     3
          groups.
              The relative stability, charge distribution, and bond orders obtained by the
          calculation identified three main factors in carbocation stabilization as  -donation,
           -hyperconjugation, and the 	-polar effects.
                                 +       Y   +         +
                              X            C
                                                          X
                              π-donor  β-hyperconjugation  α-polar
          The  -donor and  -hyperconjugation effects are present for both alkyl and vinyl
          carbocations. The vinyl carbocations exhibit somewhat larger stabilizations because
          they are inherently less stable. The vinyl cations also appear to be more sensitive to
          the 	-polar effect. Note that the F, OH, and NH substituents are less stabilizing of
                                                   2
          vinyl cations than of alkyl cations. This is believed to be due to the greater sensitivity
          to the polar effect of the more electronegative sp carbon in the vinyl cations. The NPA
          and bond order characterizations of the carbocations are shown in Table 3.13. The
          values give the charge associated with the cationic carbon and the bond order between
          the cationic carbon and the substituent X.

           71
             K. van Alem, G. Lodder, and H. Zuilhof, J. Phys. Chem. A., 106, 10681 (2002).
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