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              Physical Organic Chemistry                                                                  233

              Because m D  > m H  the zero-point energy is greater for a  (CH 3 ) 2 CH stabilized by six hyperconjugative resonance
                                                                        +
              C H bond than for a C D, as shown in Fig. 16, and the  forms. The alternative regiochemistry would proceed via
              bond-dissociation energy is less for C H than for C D.  theintermediateCH 3 CH 2 CH ,withonlythreesuchforms
                                                                                       +
                                                                                       2
              Then, according to Fig. 12, a C H bond will break faster.  (from delocalization of electrons in two C H bonds and
              For typical values of k F , the rate constant ratio, k H /k D ,is  oneC C).However,inthepresenceofperoxides,bromine
                     ◦
              ∼7at25 C.                                         atoms are generated and a free-radical chain process in-
                This result can be used to determine whether a C H  trudes [Eq. (42) followed by Eq. (43)]:
              bond is broken in the rate-limiting step. The comparison
                                                                                             ·
                                                                     ·
              can be either intermolecular, between deuterated and un-  Br + CH 3 CH CH 2 → CH 3 CH CH 2 Br,  (42)
              deuterated reactants, or intramolecular, by analyzing deu-
                                                                CH 3 CH CH 2 Br +HBr → Br + CH 3 CH 2 CH 2 Br. (43)
                                                                                        ·
                                                                      ·
              teriumcontentinproductsfromapartiallydeuteratedreac-
              tant. For example, part of the evidence for transition states
                                                                The regiochemistry here is due to the six hypercon-
              like 63 is the observation that CH 3 CHPhCH 2 Br reacts                                      ·
                                                                jugative resonance forms in the intermediate CH 3 CH
              with NaOC 2 H 5 7.5 times as fast as does CH 3 CDPhCH 2 Br.
                                                                CH 2 Br, which is thus more stable than the alternative,
              In contrast, the reaction of 1-naphthol-4-sulfonate-2-d      ·
                                                                CH 3 CHBrCH , which has only three hyperconjugative
                                                                           2
              (101-d) with o-methoxybenzenediazonium ion (102,
                                                                forms (from delocalization of electrons in one C H bond,
              Ar = o-CH 3 OC 6 H 4 ) to form 103 proceeds at the same
                                                                one C C, and one C Br).
              rate as that of the undeuterated 101. Therefore the C H
                                                                  Many nucleophilic substitutions proceed with inver-
              or C D bond is not broken in the rate-limiting step, which  sion of configuration at the carbon undergoing substi-
              is inferred to be the formation of 104 as an intermediate  tution. One of the first demonstrations of this behavior
              that loses H or D in a subsequent step.           was with (−)-2-octanol (105,R = C 6 H 13 ), which could
                                                                be converted with acetic anhydride to (−)-2-octyl acetate
                                                                (106). Alternatively, 105 could be activated by conversion
                                                                to its tosylate (107,Ts = SO 2 C 6 H 4 CH 3 -p). Reaction with
                                                                potassium acetate then formed (+ )-2-octyl acetate (106 ),

                                                                the enantiomer of 106. Conversion of levorotatory to dex-
                                                                trorotatory did not occur in the reactions with acetic anhy-
                                                                dride (105 → 106) or tosyl chloride (105 → 107), which
                                                                react at oxygen, not carbon. Therefore in the reaction of
                                                                107, the nucleophile (CH 3 CO ) and the leaving group
                                                                                        −
                                                                                        2
                                                                    −
                                                                (TsO ) must be on opposite faces of the carbon undergo-
                                                                ing substitution. Transition state 108 shows this geometry
                The applicability of isotope effects is still wider. They
                                                                (with the dotted C C bond behind the plane of the page
              can be seen even when a C HorC D bond is not bro-
                                                                and with the other two dotted lines symbolizing partial
              ken but when the carbon bearing H or D undergoes re-
                                                                bonds). It should be noted that this conclusion and the
              hybridization, although the effect is considerably smaller.
                                                                next were reached without knowing the absolute configu-
              They can be seen when reaction is carried out in D 2 O
                                                                rations of the molecules.
              rather than water. They can be detected with other iso-
              topes, such as of carbon, nitrogen, or oxygen. Again the
              effects are smaller.
              E. Regiochemical and Stereochemical Studies
              It is a truism that the products of a reaction must be known
              in order to have any success at proposing a mechanism.
              Moreover, careful attention to product structures can pro-
              vide important information about mechanism.
                A classic puzzle was the mechanism of addition of HBr
              to alkenes such as propene. Sometimes the product was
              2-bromopropane and sometimes it was 1-bromopropane.
              Eventually the role of the reaction conditions was rec-
              ognized. The former arises by electrophilic addition via  In contrast, (2R,3R)-3-phenyl-2-butyl tosylate (109,
              transition state 65, leading to the carbocation intermediate  Ts = SO 2 C 6 H 4 CH 3 -p) reacts in acetic acid to form
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