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64  SOME FUNDAMENTALS OF PHYSICAL ORGANIC CHEMISTRY

                Table 2.3  p VALUES DERIVED FROM  RATES OF HETEROLYTIC REACTIONS
                Reaction                                          Solvent   Temp (OC)  p

                xQLI-oCH3               + "DL,-                   60% acetone,  25   2.229
                                 +
                                   0.-


                                                                  60% acetone,  100   0.106



                -             + H.0  +                            50% acetone,   0   0.797



                -             + HCN  +             CN             95% ethanol,  20   2.329
                "~p'o                                                 ethanol,   25   -5.090

                                  +
                                    C2H60H
                         H

                SOURCE:  H. H. Jaffe,  Chem. Rev.,  53,  191 (1953), where more complete data may be found. Repro-
                duced by permission of  the American  Chemical Society.
                reactions but decrease in magnitude as the substituted ring is placed farther from
                the reaction site. Tables 2.2 and 2.3 list several additional p values for the correla-
                tion of equilibrium constants and reaction rate constants, respectively. Note, for
                example, in Table 2.2  that p for the dissociation of substituted benzoic acids is
                much higher in ethanol than it is in water. This is because acid strength in the less
                ionizing solvent, ethanol, is more dependent on any help  it can  get  from  sub-
                stituents than it. is in water.



                u+ and u- Constants
                When the reaction  site comes into direct resonance with  the substituent,  the  u
                constants of the substituents do not succeed in  correlating equilibrium  or rate
                constants. For example ap-nitro group increases the ionization constant of phenol
                much more than would be predicted from the      constant obtained from the
                ionization  of p-nitrobenzoic  acid.  The reason  is  readily  understood  when  one
                realizes that the p-nitrophenoxide  ion  has  a  resonance  structure (11) in  which
                the nitro group participates in through-resonance7 with the 0-. The extra stabiliza-
                tion of the anion provided by this structure is not included in the up-  constant









                ' This term was introduced by J. Clark and D.  D.  Perrin,  Quart.  Rev.  (London), 18, 295  (1964).
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