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260                   The original Pauling equation was reexamined recently by Zavitsas and co-
                              6
                       workers. The equation was shown to give quite good agreement with thermochemical
     CHAPTER 3         data. Furthermore, it permitted assignment of electronegativity and stabilization energy
     Structural Effects on  to important radicals. The stabilization energy SE is assigned as
     Stability and Reactivity
                                           SE = 1/2 BDE  CH3−CH3   −BDE  X−X             (3.8)

                       Some values are given in Table 3.3. For future reference, note the order of radical
                       stabilization: alkyl > alkenyl > alkynyl and allyl > benzyl > tertiary > secondary >
                       primary. In Section 3.4.3, we discuss the structural basis of these relationships.
                           Another idea underlying the nature of bond formation is the concept of electroneg-
                                                                     8
                                       7
                       ativity equalization or electronegativity equilibration (see Section 1.1.4). This
                       concept states that electron density flows from the less electronegative partner in
                       a bond (making it more positive and therefore more electronegative) to the more
                       electronegative atom (making it more negative and therefore less electronegative) until
                       both atoms have the same effective electronegativity. At that point, there is no net
                       attractive force on the electrons in the bond. This intuitively compelling idea has a
                       theoretical foundation in DFT, which states that the chemical potential 
 is uniform
                       throughout a molecule. It is observed that the apparent bond strength for several series
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                       of compounds increases in the order CH − X < pri − X < sec − X tert − X. The
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                       differences increase with the electronegativity of the substituent X. These electroneg-
                       ativity relationships lead to some qualitative trends. For alkyl groups with electroneg-
                       ative substituents, such as halogens, oxygen, or nitrogen, the trend is tert > sec > pri >
                       CH . On the other hand, for organometallics, alanes, and boranes, the order is reversed.
                          3
                       Compounds that can readily interconvert can isomerize in response to these stability
                       relationships. 10



                             Table 3.3. Group Electronegativity and Stabilization Energies (in kcal/mol)
                                             Based on the Pauling Equation a

                                Group                 SE        Group               SE
                                            2 525      0.0     HO         3 500
                             CH 3
                                            2 462      1.2     CH 3 O     3 439     26 0
                             C 2 H 5
                                            2 411      1.4     PhO        3 376     43 1
                             i−C 3 H 7
                                            2 378      3.7     CH 3 NH    3 018     13 5
                             t −C 4 H 9
                                            2 488     14.3      CH 3   3 Si  1 838  5 9
                             CH 2 =CHCH 2
                                            2 506     11.7     F          3 938     25 9
                             PhCH 2
                             Ph                      −13 1     Cl         3 174     15 9
                             CH 2 =CH                −11 6
                             HC≡C                    −32 1
                             CH 3 C=O                  7.9
                             a. N. Matsunaga, D. W. Rogers, and A. A. Zavitsas, J. Org. Chem., 68, 3158 (2003).
                        6
                          N. Matsunaga, D. W. Rogers, and A. A. Zavitsas, J. Org. Chem., 68, 3158 (2003).
                        7   S. G. Bratsch, J. Chem. Educ., 61, 588 (1984); R. T. Sanderson, Polar Covalence, Academic Press,
                          New York, 1983.
                        8
                          D. W. Smith, J. Chem. Educ., 67, 559 (1990).
                        9   Y. R. Luo and S. W. Benson, J. Phys. Chem., 92, 5255 (1988); Y. R. Luo and S. W. Benson, Acc.
                          Chem. Res., 25, 375 (1992); N. Laurencelle and P. D. Pacey, J. Am. Chem. Soc., 115, 625 (1993).
                        10
                          J. N. Harvey and H. G. Viehe, J. Prakt. Chem. Chem. Zeitung, 337, 253 (1995).
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