Page 297 - Mechanism and Theory in Organic Chemistry
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H
                                      YzH5                    I  /P
                                 CH~*CH~OH  ,,,,+  HNO,   >  CH,-C-C
                                                              1
                                      NH2                    C2H5 'H
                                                         30% inversion
                                                             14
              (Comparison of Equations 6.23 and 6.13  shows how the stereochemistry at C,
              may depend on the lifetime of the carbocation.)
                  The  stereochemistry  at  the  migration  origin  cannot  always  be  studied
              because, as in the pinacol and semipinacol rearrangements and as in Wagner-
              Meerwein shifts where migration is followed by loss of a proton,  the migration
              origin often becomes trigonal in the product. When it is tetrahedral in the product
              its  stereochemistry  varies  and  is  not  yet  fully  understood.  If  the  nucleophile
              attacks before the migrating group has fully departed, then it must come in from
              the  back  side and give  inversion at the migration  origin.  We saw  a  dramatic
              example  of this in  Cram's  work  on  the solvolysis of 3-phenyl-2-butyl  tosylate,
              in which solvent attacks the phenonium ion directly and the migration origin,
              C,,  is almost entirely inverted. If the migrating group has completely departed
              from the migration  origin  before  the  nucleophile  attacks and  there  is  time  for
              rotation about the C,-C,   bond, then racemization should result. (If there is not
              time for free rotation,  attack from one side might  be less hindered than  attack
              from the other.) Racemization at C,  occurs, for example, in the deamination of
              (S)-1-amino-2-cyclohexylbutane (30),  which  affords,  among  other  products,
              racemic 2-cyclohexylbutan-2-01 (31).43







                                       S                   R,S
                                       30                  3 1
                   A number of cases have been found in which  1,2-hydride shifts occur with
              retention  at  C,.  For  example,  (S)-6-(aminomethy1)-2-methyloctane (32)  is
              deaminated in aqueous perchloric acid to give 2,6-dimethyloctan-6-01 in 35 per-
              cent  yield.  This product  is formed  with  41  percent  retention  at  C,.  No  fully
              satisfactory explanation for the retention has been proposed.44







              Migratory Aptitudes
              The  relative  ease  with  which  alkyl  and  aryl  groups  migrate  is  called  their
              migratory aptitude. Unfortunately,  migratory aptitudes are not absolute quantities;
              values determined in one reaction under one set of conditions may differ enor-


              43 W.  Kirmse and W.  Gruber, Chem. Ber.,  104, 1789 (1971).
              44  W.  Kirmse and H. Arold, Chem. Ber., 104, 1800 (1971).
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