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362                               Table 3.34. Y Values for Some Solvent Systems. a

     CHAPTER 3             Ethanol-water  Y    Methanol-water  Y      Other solvents   Y
     Structural Effects on    100:0    −2 03      100:0      −1 09  Acetic acid      −1 64
     Stability and Reactivity
                              80:20      0 00     80:20       0 38  Formic acid       2 05
                              50:50      1 65     50:50       1 97  t-Butyl alcohol  −3 2
                              20:80      3 05     10:90       3 28  90:10 acetone:water  −1 85
                               0:100     3 49                       90:10 dioxane:water  −2 03
                           a. From A. H. Fainberg and S. Winstein, J. Am. Chem. Soc., 78, 2770 (1956).

                           Several other treatments of solvent effects on solvolysis rates have been
                       developed. 152  The equations typically include several terms related to: (a) macroscopic
                       nonspecific solvent properties, such as the dipole moment and dielectric constant;
                       (b) empirical polarity criteria, such as E (30); (c) solvent electrophilicity and nucle-
                                                        T
                       ophilicity parameters; and (d) terms related to solvent cohesivity. The last term accounts
                       for the difference in work required to disrupt structure within the solvent, when, for
                       example, there is expansion in volume between reactants and the TS.


                       3.8.2. Examples of Specific Solvent Effects

                           The electrostatic solvent effects discussed in the preceding paragraphs are not the
                       only possible modes of interaction of solvent with reactants and TS. Specific structural
                       effects may cause either the reactants or the TS to be particularly strongly solvated.
                       Figure 3.34 shows how such solvation can affect the relative energies of the ground
                       state and the TS and cause rate variations from solvent to solvent. Unfortunately, no













                                   ΔG ‡                        ΔG ‡
                                               ΔG ‡
                                                                            ΔG ‡
                                solvent A    solvent B       solvent A     solvent B
                            Transition state more strongly solvated  Ground state more strongly solvated in
                            in solvent B, reactivity enhanced in  solvent B, reactivity decreased in
                            solvent B                       solvent B
                            Fig. 3.34. Reaction energy profiles showing effect on E a of (a) preferred solvation of the
                            transition state and (b) preferred solvation of reactants.
                       152
                          G. F. Dvorko, A. J. Vasil’kevich, E. A. Ponomareva, and J. V. Koschii, Russ. J. Gen. Chem., 70, 724
                          (2000); I. A. Koppel and V. Palm, Advances in. Linear Free Energy Relationships, N. B. Chapman and
                          J. Shorter, eds., Plenum Press, New York, 1972, Chap. 5.; M. H. Abraham, R. W. Taft, and M. J. Kamlet,
                          J. Org. Chem., 46, 3053 (1981); M. H. Abraham, R. M. Doherty, M. J. Kamlet, J. M. Harris, and R.
                          W. Taft, J. Chem. Soc., Perkin Trans., 2, 913 (1987); M. R. C. Goncalves, A. M. N. Simoes, and
                          L. M. P. C. Albuquerque, J. Chem. Soc., Perkin Trans., 2, 1379 (1990).
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