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who  showed that  acid-catalyzed  rearrangement of vinyl azides gives the  same
             products in the same ratio as the  Schmidt rearrangement of the corresponding
             ketone under the same conditions.  He postulated that the reaction paths of the
             two  rearrangements  converge  at  the  common  intermediate  118  as  shown  in
             Scheme 10. 164
             SCHEME 10
















                  In the  Schmidt  rearrangement  of  carboxylic  acids  the  formation  of  the
             adduct is apparently usually not rate-determining.  The evidence for this comes
             from  studies  of  the  comparative  rate  of  nitrogen  evolution  from  HN,  in  the
             presence  and  in  the  absence  of  carboxylic  acids:  When  m-  or p-nitrobenzoic
             acid is added to HN,  in H2S04, the rate of nitrogen evolution  decreases. Thus
             HN,  must  be  rapidly  converted  to  an adduct from  which  loss  of  nitrogen  is
             slower than from HN,  itself. Moreover, the adduct, to be formed at all, must be
             formed more rapidly than N,  is lost from HN3.165
                  The  intramolecularity  of  the  migration  step  in  the  Schmidt  rearrange-
             ments has been convincingly demonstrated by showing the retention of chirality
             of the migrating gr0~p.l~~
                  In the Schmidt rearrangement of ketones the larger group, irrespective of
             its nature, tends to migrate. Apparently the intermediate 118 is formed so that the
             bulkier aryl or alkyl group is trans to the N,  group. Then, as in the Beckmann
             rearrangement,  the group  trans  to  the  leaving  group  prefers to  migrate.  The
             barriers to interconversion  of the cis and trans forms are, however, lower in the
             Schmidt than in the Beckmann rearrangement.167



             The nitrenium ion  (120) is isoelectronic with the carbocation.  Until the middle
              1960s it was unknown, but at that time Gassman began an intensive investigation
                                             R-N-R
                                                 +




             '64  A. Hassner, E.  S. Ferdinandi, and R. J. Isbister, J. Amer. Chem. Sac., 92, 1672 (1970).
             '65  L. H. Briggs and J. W.  Lyttleton, J. Chem. Sac., 421  (1943). But see also V.  k Ostrovskii, A.  S.
             Enin,  and G.  I. Koldobski, J. 018. Chem.,  U.S.S.R., 9, 827 (1973).
                See note  143(a), (b), p.  318.
                See note  164.
             168  P.  G. Gassman, Accts. Chem. Res., 3, 26  (1970).
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