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              Physical Organic Chemistry                                                                  243

                    TABLE XI Substituent Constants Derived        Formanyreactionsitispossibletorecognizeananalogy
                    from pK a of Benzoic Acids, XC 6 H 4 COOH   either to acid dissociation of substituted benzoic acids or to
                      X        σ X        X        σ X          other model reactions. Among these models are acidities
                                                                of phenols, XC 6 H 4 OH, or aliphatic acids, XCH 2 COOH,
                    p-MeO     −0.28      p-Br     0.23          rates of solvolysis of XC 6 H 4 C(CH 3 ) 2 Cl, and even the abil-
                    p-Me      −0.17      m-Br     0.39          ity of a solvent to stabilize the ground electronic state
                    m-Me      −0.06      p-NC     0.70          of a dyestuff. Then the effects of substituents on both
                    H         = 0.00    m-O 2 N   0.71          equilibrium constants and rate constants can be correlated
                    m-MeO      0.11     p-O 2 N   0.78
                                                                quantitatively with the substituent effects in those model
                                                                reactions. No analogy is perfect, but one may provide an
                                                                understanding of a new reaction in terms of a more familiar
                                                                one.
              constant ρ and whose intercept is c (which equals log k H
                                                       10
              in an ideal case).
                Figure 20 shows such a plot for the reaction of substi-
              tuted benzonitriles with HS :                     SEE ALSO THE FOLLOWING ARTICLES
                                    −
                                −
                  XC 6 H 4 CN + HS → XC 6 H 4 C( S)NH 2 .  (57)  CHEMICAL KINETICS,EXPERIMENTATION • CHEMICAL
                                                                THERMODYNAMICS • HYDROGEN BOND • KINETICS
                                    HS δ-  ‡
                                                                (CHEMISTRY) • ORGANIC CHEMICAL SYSTEMS,THEORY
                                        δ-
                                      N                         • ORGANIC CHEMISTRY,SYNTHESIS • ORGANOMETAL-
                               X
                                                                LIC CHEMISTRY • PERIODIC TABLE (CHEMISTRY) • PHO-
                                     179
                                                                TOCHEMISTRY,MOLECULAR • POTENTIAL ENERGY SUR-
              The slope is 2.1. The positive value reflects the fact that  FACES • QUANTUM CHEMISTRY • STEREOCHEMISTRY
              electron-withdrawing substituents accelerate the reaction.
              This is consistent with a transition state 179 that carries
              a negative charge. This transition state is not the same  BIBLIOGRAPHY
              as a carboxylate anion, but it is analogous, in that any
              substituent that stabilizes the carboxylate also stabilizes  BERNASCONI,C.F.(ED.). (1986). “INVESTIGATION OF RATES AND
              the transition state. If the slope had been negative, as in  MECHANISMS OF REACTIONS,” 4TH ED., WILEY,NEW YORK.
                                                                CAREY, F. A., AND SUNDBERG, R. J. (2000/1990). “ADVANCED OR-
              some reactions, it would mean that electron-donating sub-
                                                                 GANIC CHEMISTRY,” PART A, 4TH ED. (2000), PART B, 3RD ED. (1990),
              stituents accelerate the reaction, consistent with the devel-  KLUWER/PLENUM,NEW YORK.
              opment of a positive charge in the transition state.  CARROLL, F. A. (1998). “PERSPECTIVES ON STRUCTURE AND MECHA-
                                                                 NISM IN ORGANIC CHEMISTRY,” BROOKS/COLE,PACIfiC GROVE, CA.
                                                                LOWRY, T. H., AND RICHARDSON, K. S. (1987). “MECHANISM AND THE-
                                                                 ORY IN ORGANIC CHEMISTRY,” 3RD ED., HARPER &ROW,NEW YORK.
                                                                MARCH, J. (1992). “ADVANCED ORGANIC CHEMISTRY:REACTIONS,
                                                                 MECHANISMS, AND STRUCTURE,” 4TH ED., WILEY,NEW YORK.
                                                                MASKILL, H. (1985). “THE PHYSICAL BASIS OF ORGANIC CHEMISTRY,”
                                                                 OXFORD UNIVERSITY PRESS,NEW YORK.
                                                                MILLER, B. (1998). “ADVANCED ORGANIC CHEMISTRY:REACTIONS AND
                                                                 MECHANISMS,” PRENTICE HALL,UPPER SADDLE RIVER, NJ.
                                                                MULLER,P.(ED.). (1994). “GLOSSARY OF TERMS USED IN PHYS-
                                                                 ICAL  ORGANIC  CHEMISTRY,”  Pure  Appl.  Chem.  66,  1077–1184
                                                                 (HTTP://WWW.CHEM.QMW.AC.UK/IUPAC/GTPOC/).
                                                                PROSS, A. (1995). “THEORETICAL AND PHYSICAL PRINCIPLES OF OR-
                                                                 GANIC REACTIVITY,” WILEY,NEW YORK.
                                                                STOWELL, J. C. (1994). “INTERMEDIATE ORGANIC CHEMISTRY,” WILEY,
                                                                 NEW YORK.
                                                                TIDWELL, T. T., RAPPOPORT, Z., AND PERRIN,C.L.(EDS.). (1997).
                                                                 “PHYSICAL ORGANIC CHEMISTRY FOR THE 21ST CENTURY (ASYM-
                                                                 POSIUM  IN  PRINT).”  Pure  Appl.  Chem.  69,  210–292  (HTTP://WWW.
              FIGURE 20 Hammett plot for reaction of XC 6 H 4 CN with HS .  IUPAC.ORG/PUBLICATIONS/PAC/SPECIAL/0297/INDEX.HTML).
                                                          −
              Substituents X from left to right are p-CH 3 O, p-CH 3 ,H, p-I,  WILLIAMS, A. (2000). “CONCERTED ORGANIC AND BIO-ORGANIC
              p-Br, p-Cl, and m-Br.                              MECHANISMS,” CRC PRESS,BOCA RATON, FL.
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