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Migrations to Carbonyl Carbon  317

                              R  0               R  OH
                               I   11    H+      I   1
                           R-C-C-R  - R-C-C-R                             (6.49)
                                                 I   +
                              R                 R
      especially electron-rich, increasing the tendency of a group to migrate with its
      pair of electrons, rearrangements do occur. The aldehyde-ketone  rearrangement
      (Problem 16) is an example of the first type, and the benzilic acid rearrangement
      is an example of the second type.
      Benzilic Acid Rearra~~gernentl~~
      Liebig observed  the first intramolecular rearrangement in  1838 when he found
      that benzil in basic solution forms a new  compound.136 In 1870 Jena  correctly
      established the product of the reaction as benzilic acid, but proposed an incorrect
      structure for the starting material to avoid postulating a skeletal rearrangement.137
      In 1928 Ingold proposed the mechanism  shown in Equation 6.50, which  today
      is solidly supported by experimental evidence.138
        0  0
         I   II          step I
      4-C-C+     +  -OH  4 4-C-C-OH
                                  k  l

                                  103    0- 0
                                         I  II      step 3
                                      4-C-C-OH           4-C-C-0-        (6.50)
                                         I                   I

          The reaction is second-order overall, first-order each in benzil and in base.139
      This is consistent with any of the three steps being rate-determining,  since each
      depends on the concentrations of benzil and either of free base or of base that has
      already added  to the benzil.  Roberts and Urey carried out the  rearrangement
      with  180-labeled base and found that the label was incorporated  into unreacted
      benzil at a faster rate than that of the rearrangement.140 Thus the first step must
      be  rapid and reversible  (although the first intermediate must exist long enough
      for the facile proton exchange,






      to take place). That step 3 is not rate-determining was shown by Hine, who used
      -OD as base and,found no deuterium isotope effect.141 By elimination, that leaves
      the migration, step 2,  as the rate-determining process.
          An interesting aspect of this rearrangement is that the phenyl group with
      the lower electron-donating ability  usually  migrates.  For  example,  in  104 the
      135  For a review, see S. Selman and J. F.  Eastham,  Quart. Rev.  (London), 14, 221  (1960).
      lS6 J  Liebig, Justug Liebigs  Ann.  Chem., 25,  1 ( 1838).
      13'  A. Jena, Jttstug  Liebigs  Ann.  Chem.,  155, 77  (1870).
      lS8 C. K.  Ingold, Ann.  Rep. Chem. Soc., 25,  124 (1928).
      139  F.  H. Westheimer, J. Amer. Chem. Soc., 58, 2209 (1936).
      140 I. Roberts and H.  C. Urey, J. Amer. Chem. Soc., 60, 880 (1938).
      141 J. Hine and H. W. Haworth, J. Amer. Chem. Soc., 80, 2274 (1958).
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