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              Physical Organic Chemistry                                                                  227
                                                                            +
                  TABLE  IV  Some  C H  Bond-Dissociation       and in (CH 3 ) 3 C there are nine, paralleling the increased
                  Energies (BDE)
                                                                stabilization.
                                                                  Similarly, the solvolysis of tert-butyl chloride is faster
                                                 BDE
                  Entry          Bond          (kcal/mole)      than that of isopropyl chloride. The transition state for the
                                                                former is given in Eq. (29). That for the latter is given as
                    1        CH 3 H              104            follows:
                    2        CH 3 CH 2 H          98
                                                                                                   δ− ‡
                    3        (CH 3 ) 2 CH H       95                (CH 3 ) 2 CH Cl → [(CH 3 ) 2 CH δ+  ··· Cl ]
                    4        (CH 3 ) 3 C H        92
                                                                                                 −
                                                                                 → (CH 3 ) 2 CH + Cl → etc.  (31)
                                                                                            +
                    5        CH 2 CHCH 2 H        89
                                                                However, those structures are incomplete. The transition
                                                                state from isopropyl chloride has six additional hypercon-
              hydrogen. For entry 5 that radical (75) is stabilized by an  jugative resonance forms, corresponding to delocalization
              additional resonance form (76) which is not available for  of electrons in six adjacent C H bonds. That from tert-
              CH 3  ·. According to the rules of resonance, 76 is not just  butyl chloride has nine such forms, which confer greater
              75 flipped left-for-right, but it expresses the delocalization  stability. In terms of Fig. 12, the change from isopropyl to
              of the pi electrons in the double bond.           tert-butyl represents a stabilization of the transition state
                                                                and therefore a faster reaction.
                                                                  Another example is cyclopentadiene (pK a  16), which
                                                                is remarkably acidic for a hydrocarbon. This can be at-
                                                                tributed to electron delocalization in the conjugate base
                For the ethyl radical of entry 2 (77), resonance is less ob-  (79, C’s, H’s, and lone pairs omitted), where there are

              vious, but three additional resonance forms are 78, 78 , and  five equivalent resonance forms, since the formal nega-

              78 . According to the rules of resonance, these do not im-  tive charge can be at any carbon. However, cyclohepta-
              ply that hydrogens are removed. They symbolize only the  triene does not show any unusual acidity compared to
              delocalization of electrons from the adjacent C H bonds  other polyenes, even though its conjugate base (80) has
              to relieve the nonoctet character of the radical center at the  seven equivalent resonance forms. This contrast is the
              expense of a hydrogen which loses its octet. In contrast  consequence of the aromaticity of 79, owing to the six
              to the delocalization of pi electrons in 75–76, electrons  pi electrons delocalized around the five-membered ring,
              in 77–78 are delocalized from C H sigma bonds. This  whereas 80 is antiaromatic, with eight pi electrons.
              phenomenon is often called hyperconjugation. Similarly,
              for entries 3 and 4 there are hyperconjugative resonance
              forms that stabilize the radical that results from hydrogen
              removal. For the 2-propyl radical, (CH 3 ) 2 CH·, of entry 3,
              there are a total of six additional forms, since electrons in
              each of the six adjacent C H bonds can be delocalized.
                                                                H.  Steric Effects
              For entry 4 there are a total of nine additional forms. Thus
              the number of resonance forms for the radical increases  A steric effect arises from the sheer bulk of substituents.
              and consequently the bond-dissociation energy decreases  Just as two helium atoms repel, any two substituents re-
              from entry 1 to 2 to 3 to 4.                      pel  whenever  their  orbitals  overlap.  In  contrast  to  res-
                                                                onance,  which is  always  stabilizing,  steric  repulsion  is
                                                                always destabilizing, although it can destabilize reactant,
                                                                product, or transition state.
                                                                  A simple example is the destabilization of o-xylene (81,
                                                                R = CH 3 ) or o-di-tert-butylbenzene  [81, R = C(CH 3 ) 3 ]
                The heterolytic bond-dissociation energies of R H to  by 0.3 and 22.3 kcal/mole, respectively, relative to their
                    −
              R +  H (or of R Cl to R +  Cl ) also decrease along  meta isomers (82). Another is the destabilization of ax-
               +
                                   +
                                         −
              the series R = CH 3  > CH 3 CH 2  > (CH 3 ) 2 CH > (CH 3 ) 3 C.  ial conformer 55. A quantitative measure of the effec-
              Again  this  is  due  to  hyperconjugation,  which  delocal-  tive bulk of a substituent R is the free-energy differ-
              izes electrons in the adjacent C H bonds and relieves the  ence, −RT ln([55]/[54]), often called the A value of
              nonoctet character of the carbocation at the expense of a  the substituent. Some representative values are listed in
                                              +
              hydrogen which loses its octet. In CH 3 CH there are three  Table V. These values can be used to estimate the posi-
                                              2
                                               +
              additional resonance forms, in (CH 3 ) 2 CH there are six,  tion of the equilibrium between the two conformers of
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