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Figure 5.13 The effect on  the  location  of  the intermediate,  o,,  of  electron  withdrawal  at
                          C+. Motions R1, R2, I,, and  I2 are the same as in Figure  5.1 1,  but  all are
                          bound  vibrations.  The intermediate will  shift in the direction  of  1, to  0;.  At
                          the same  time,  the  transition  state *,  will  shift  to  *;.  The new  reaction  co-
                          ordinate is given by the dashed  curve.

                change to *;  in Figure 5.13, and the new reaction coordinate shown by the dashed
                curve.
                     If the process just  described  is continued, *,  moves ever closer to  oi,  while
                0,  increases in  energy  and  the curve  moves toward  the center  of the diagram.
                When  minimum  oi  disappears  and  only *,  remains  (*,  will  also at that  point
                have merged with *,,  Figure 5.12), the mechanism is SN2. We leave it as an exer-
                cise for the reader to work out predictions of how the curves should change with
                the nature of the entering and leaving groups.
                     Sneen's  ion-pair  scheme  can  also  be  shown  with  these  two-dimensional
                diagrams. According to his mechanism, all substitutions follow the path shown in
                Figure 5.12; the distinction between  SN1 and SN2 behavior depends on whether
                *,  or *,  is  higher,  and variation  in behavior  depends on the relative positions
                along the curve, and the energies, of *,,   o,,  and *,.


                5.5  UNIMOLECULAR ELECTROPHILIC
                    SUBSTITUTIONS-CARBANIONS

                We may define a unimolecular electrophilic substitution, S,1,  by Equations 5.22
                and 5.23. The electrophilic substitutions have not been as thoroughly studied as
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