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248  UNIMOLECULAR SUBSTITUTIONS AND  RELATED REACTIONS

                N + C-X                                         N-C   -X























                          -                       decrease -
                N+c++X-                N-C  distance           N-C  + X
                                increase
                Figure 5.11 Projection  of  the  SN2 reaction  coordinate  (solid line). The  transition  state is
                           indicated  by  *; in  this  example it  is  symmetric  with  respect  to  N...C  bond
                           making and C...X  bond  breaking  (Structure 29).  Energy  minima  are desig-
                           nated  by  0.  The motions  are as follows:
                               N-+  t   C        X  -+          c N        C-+    c  X
                                        R1                                  R2
                            c N         C        X  -+             N-+      C     t  X
                                       11                                  12
                           Electron  supply  to  C favors  Il and shifts the  transition  state to *',  and  the
                           reaction  then follows the dashed  curve.

                and N-C   distances. The curve up over the saddle point at the center of the dia-
                gram represents the lowest energy pathway for the SN2 reaction, with the transi-
                tion state indicated by *.  Figure 5.10 is a similar diagram for the limiting  SN1
                process.
                     In  order  to  study  these  diagrams  further,  we  look  directly  down  from
                above and project the reaction coordinate onto the horizontal plane.l18 Since we
                need to retain the essential features of the potential energy, we indicate maxima
                of energy along the reaction coordinate by * and minima by  0. Figure 5.1 1 is the
                projection of the SN2 path, and Figure 5.12 is the projection  of the SN1 path.
                     Now we ask what the effect will be on the SN2 process of electron donation
                to carbon. The motion along the reaction coordinate, R,,  is 36; R,  is its reverse,
                 37. Motion perpendicular  to the reaction coordinate is the vibration represented
                by 38 and 39; 38 represents a displacement toward the lower left of the diagram

                                   N+tC      X+          tN     C+X
                                      Motion R1            Motion Rz
                                       36                      37

                118  See notes  116, 117.
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