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Lewis Acids and Bases  163

       order 4,N  > 4,NH,  4NH2, and warn us that the solution order is probably again
       caused  by  solvation and not by  internal electron  distribution properties of the
       bases.lO'
           The carbonyl bases constitute  another important class of weak  bases that
       present interesting possibilities for investigation of structural effects. In solution,
       experiments with  these compounds are subject to severe difficulties. The result
       is a serious lack of agreement among different investigators  about pKa. Arnett
       and co-workers point  out that pKa values reported  for  acetophenone  cover  a
       range of over four units  ( - 3.65 to  - 7.99), while those for acetone span seven
       units  ( - 0.2  to  - 7.2).lo2 In view of these uncertainties,  it is impossible to say
       whether aldehydes, ketones,  or carboxylic acids are the most basic in solution.
       Gas-phase data are available for some of these substances.
           Table 3.18 summarizes gas-phase basicities for a number of compounds.  It
       is possible to measure relative gas-phase basicities quantitatively,  and the table
       includes proton affinity, which is the negative of the enthalpy change for reaction
       3.60.'03
                       B,  + Hg+ - BHg+ .   AH =  - (proton affinity)     (3.60)
           Table 3.18  contains data for three  carbon  bases:  propene,  ethylene,  and
       methane.  The position  of  methane indicates that  the  saturated  hydrocarbons,
       among the weakest of the Bransted acids, are also among the weakest bases. The
       unsaturated hydrocarbons have electrons in higher energy orbitals and accept a
       proton  more  easily.  There  is  information  available,  primarily  from  acidity
       function techniques, about solution basicities of a number of unsaturated hydro-
       carbons.lo4

       3.5  LEWIS ACIDS  AND  BASESo5

       In 1923 G. N. Lewis proposed a definition of acids and bases somewhat different
       from that of Bransted :Io6
                      An acid is an electron-pair acceptor.
                      A base is an electron-pair donor.
       Lewis  acids are thus electron-deficient molecules or ions such as BF,  or carbo-
       cations  whereaiLEwis bases are mole~ules or ions containing available ektx- ons,
                ---
       such as ambs, ethers, alkoxide ions, and SO forth.,A Lewis acid-base  reaction is
       the  combination  of  an  acid  and  a  base  to  form  a  complex,  or  adduct.  The
       stabilities of these adducts depend on the structures of the constituent acid  and
       base and vary over a wide range. Some examples of Lewis acid-base  reactions are
       given  in  Table  3.19.  Lewis  acid-base  reactions  abound  in  organic chemistry:

       lo'  I. Dzidic, J. Amer.  Chem. Soc., 94, 8333 (1972).
       Io2 E. M. Arnett, R. P. Quirk, and J. W. Larsen, J. Amer. Chem. Soc., 92, 3977 (1970).
       lo3 See note 94  (b), p.  159.
       lo4 For further details see note 84 (a), p.  151.
       Ins A general  discussion of  Lewis  acids  and  bases  is  given  by  R. J. Gillespie  in Friedel-Crafts  and
       Relaled  Reactions,  Vol.  1, G. A.  Olah, Ed.,  Wiley-Interscience, New York,  1963, p.  169.
       log G. N.  Lewis,  Valence and  the  Slructure  of  Atoms  and  Molecules,  American  Chemical  Society  Mono-
       graph, The Chemical Catalog Co., New York,  1923. Lewis also gave a definition equivalent  to that
       of Bronsted at this time, but he considered the electron-pair definition to bk  more general.
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