Page 1077 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
P. 1077

Table 11.14. Comparison of Computed and Observed E (kcal/mol)             1061
                                                              a
                              for Reaction of Halomethanes with Cl.
                                                                                           TOPIC 11.2
                                                ∗∗
                   Compound           E a (MP4/6-31G )       E a (observed)
                                                                                      Structure-Reactivity
                                                                                         Relationships in
                    CH 3 F                 3.4                1.54 ± 1.0
                                                                                     Hydrogen Abstraction
                                           3.7                3.26 ± 1.0
                    CH 2 F 2
                                                                                            Reactions
                                           9.7                7.62 ± .16
                    CHF 3
                    CH 3 Cl                3.9                2.50 ± 0.4
                                           1.6                2.7 ± 1.0
                    CH 2 Cl 2
                                           0.6                2.48 ± 1.0
                    CHCl 3
                    CH 2 CF                2.6                2.78 ± 1.0
                                           5.4                4.51 ± 1.0
                    CHClF 2
                    CHCl 2 F               2.3
          The purpose of this study was to test the reliability of theoretical rate calculations to
          predict the atmospheric lifetime, an important property of these compounds:
                                                                 X Y Z
                    HO .  +   CH X Y Z            HO–H   +   CH n–1 o p q
                                n o p q
          These kinetic data lead to a quadratic rather than linear Bell-Evans-Polyani relationship:


                                               2
                                          −3
                          ln k 298  = 1 368×10  H −0 354 H −50 96
          The corresponding plot is shown in Figure 11.20.
              A quadratic relationship between E and  H was also noted for the reactions
                                            a
               .                                241
          of Cl and some of the same halomethanes.  Table 11.14 shows the computed
          and experimental E and Figure 11.21 shows the Evans-Polyani relationship. The
                           a

                        10
                             y = 6.229 + 0.8812x + 0.0358x 2  R = 0.98

                         8
                                                                CHF 3
                                              CHClF 2
                       Ea(BAC)  4        CH Cl         CH 2 2
                         6
                                           3
                                                          F
                                      F
                                 CHCl 2
                                                    CH F
                                                      3
                         2  CH Cl 2
                             2
                                             CH 2 ClF
                               CHCl 3
                         0
                        –12                         –2
                                           Δ Hr(BAC)
                     Fig. 11.21. Quadratic Evans Polyani relationship between E a and BDE
                     for Cl· and halomethanes. From J. Phys. Chem., 98, 111342 (1994).
          241
             M.-T. Rayez, J.-C. Rayez, and J.-P. Sawerysyn, J. Phys. Chem., 98, 11342 (1994).
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