Page 405 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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386               3.19. The  rate  of  thermal  rearrangement  of  3-aryl-2,2-dimethylmethylene-
                            cyclopropanes has been studied as a function of aryl substituents. Some of the
     CHAPTER 3              data are given below. Examine the rate data for correlation with the Hammett
     Structural Effects on   -substituent constants. What conclusion do you draw about the mechanism?
     Stability and Reactivity
                                                                      CH 3  CH
                                                    CH 2                     3
                                                                         C
                                                        CH 3
                                                      CH 3

                                                X
                                                                    X



                                                  4
                                                                             4
                                  Substituent   10 ks −1     Substituent    10 ks −1
                                  4- CH 3   2 N   28.2 a      3-CH 3 O       3.40
                                  4-CH 2 =CH      16.7 a      3-Cl           3.30
                                                  13.5 a      3-F            3.17
                                  4-NO 2
                                  4-CN            10.28       3-CF 3         3.08
                                  4-Ph            10.3 a      4-F            2.98
                                  4-CH 3 S        9.53        3-NO 2         2.76 a
                                                  8.09        3-CN           2.69
                                  4-CO 2 CH 3
                                  4-CH 3 O        6.16
                                  4- CH 3   3 Si  5.24
                                  4-Br            4.88
                                  4- CH 3   3 C   4.78
                                  4-Cl            4.75
                                                  4.65
                                  4-CH 3
                                                  4.25
                                  4-CF 3
                                  3- CH 3   3 Si  3.87
                                                  3.82
                                  3-CH 3
                                  H               3.58

                                  a. Calculated from relative rate at 80 C in benzene.

                       3.20. The series of isodesmic reactions shown below has been calculated at the
                            MP2/aug-cc-PVDZ level. The results are in good agreement with experimental
                            gas phase proton affinity data.

                                                        + 42.4 kcal/mol
                                 CH CH 3  +    CH CH CN              CH CH 2 –  +  CH 3 CH CN
                                                    –
                                   3
                                                                                         2
                                                                       3
                                                 3
                                     – 21.7 kcal/mol                       – 20.7 kcal/mol
                                                    CH CH 3  +   – CH CH CN
                                                                       2
                                                                    2
                                                       3
                            Data are also available for the pK of mono-, di-, and tri-cyanomethane. These
                                                        a
                            data suggest substantially less cumulative drop-off as compared to an acetyl
                            substituent. The first acetyl group causes a substantially larger increase in acidity,
                            whereas the second acetyl has a smaller effect.
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