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the  carbonium  ions  in  whkh the  positive nr  carb  ons  hasmination
                            _-
                               -b-------
                 numTe?-EZ 5,  as in the brid~ed structure 19. The former structures, for many
                 years  designated  classical  ions,  have  ordinary  two-electron  bonds;  the  latter,
                 known  earlier  as  nonclassical  ions,  have  a  three-center,  two-electron  bond.69
                 Carbenium ions derived from alkenes by protonation may also be called alkenium
                 ions.
                 The Existence of Carbocations
                 Most carbocations are too reactive to be directly observable in ordinary solvents,
                 and  until  relatively  recently  evidence  has  been  obtained  indirectly,  primarily
                 through  the study of reaction  kinetics  and trapping processes, experiments dis-
                 cussed in Sections 5.1, 5.2, and 5.4. Nevertheless, a few types of compounds have
                 long been known to produce observable concentrations of positive ions relatively
                 easily. The triarylmethyl derivatives were the first of this type to be investigated;
                 the halides ionize readily  in non-nucleophilic solvents such as sulfur dioxide,I0
                 and the alcohols yield  solutions of the ions in concentrated sulfuric acid. Early
                 observations by the freezing-point depression technique  (see Section 3.2, p.  130)
                 established that each mole of triphenyl carbinol yields 4 moles of ions in sulfuric
                 acid,  the  reaction  presumably  being by  way  of  Equation  5.14.11  Results  in
                 methane-sulfonic  acid are similar.I2







                     The cryoscopic method is also applicable to other triarylmethyl systems, to
                 some diarymethyl and allylic ions, and, when ortho substituents are present, to
                 aryl acylium ions (20) (Equation 5.15) ;I3 unfortunately,  side reactions frustrate
                 most attempts to generate carbocations in sulfuric acid.










                     More recently,  development of the superacid solvent systems has permitted
                 the preparation  at low temperature  of stable solutions of carbocations  of many
                 structural types.  The solvents ordinarily  used  consist of the  strong Lewis  acid
                 antimony pentafluoride with or without an added protonic acid, usually hydro-


                  See note 68.
                 'O  N. N.  Lichtin, hg. Phys.  Osg. Chem., 1, 75 (1963).
                 " (a) A. Hantzsch, 2. Physik. Chem., 61, 257 (1907); (b) L. P. Hammett and A. J. Deyrup, J. Amer.
                 Chem. Soc.,  55, 1900 (1933).
                 72 R. A. Craig, A. B. Garrett, and M. S. Newman, J. Am. Chem. Soc., 72, 163 (1950).
                 73 (a) H. P. Treffers and L. P.  Hammett, J. Amr. Chem. Soc., 59, 1708 (1937); (b) M. S. Newrnan
                 and  N.  C.  Deno, J. Arner.  Chem. SOC., 73, 3644 (1951); (c) N.  C. Deno,  H. G.  Richey, Jr., J. D.
                 Hodge, and M. J. Wisotsky, J. Amr. Chem. Sod., 84, 1498 (1962).
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