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               236                                                                              Physical Organic Chemistry


               by the addition, in order to rule out direct reaction be-  TABLE  VIII Acidity  Constants  of  Some
               tween additive and substrate. For example, the hydrolysis  Carbonyl, Nitro, Cyano, and Sulfone Com-
                                                                      pounds in Dimethyl Sulfoxide
                                   −
               of HCCl 3 in base to HCO (plus CO) is thought to proceed
                                   2
               via CCl and the carbene CCl 2 . Indeed, if the hydrolysis    Acid                       pK a
                     −
                     3
               is performed in D 2 O and unreacted chloroform reisolated,
               it is found to be largely DCCl 3 , from trapping of CCl .  CH 3 COCH 2 COOC 2 H 5      14.2
                                                           −
                                                           3                                          16.4
               Moreover, adding PhS does not increase the rate of disap-  CH 2 (COOC 2 H 5 ) 2
                                 −
               pearance of HCCl 3 , but the product is HC(SPh) 3 instead,  CH 3 NO 2                  17.2
                                                                      PhCOCH 2 Ph                     17.65
               from trapping of CCl 2 . Another example is the solvolysis
                                                                      PhCH 2 CN                       21.9
               of Ph 2 CHCl or Ph 2 CHBr, both of which are thought to
                                                                      CH 3 COCH 2 SO 2 Ph             22.1
                               +
               proceed via Ph 2 CH as a common intermediate. Added
                                                                      PhCH 2 COOC 2 H 5               22.6
               sodium azide (NaN 3 ) does not increase the rate (except
                                                                      (PhCH 2 ) 2 SO 2                23.9
               through its effect on solvent polarity) but does change the
                                                                      PhCOCH 3                        24.7
               product from Ph 2 CHOH to Ph 2 CHN 3 .
                                                                      Cyclopentanone                  25.8
                 A variant on trapping experiments is to test substances
                                                                      CH 3 COCH 3                     26.5
               that would inhibit a free radical reaction. For example,
                                                                      [(CH 3 ) 2 CH] 2 CO             28.2
               certain phenols, like BHA and BHT in food products, can
               scavenge free radicals. If the reaction does not take its nor-
               mal course, then it is not necessary to detect a distinctive
               product in order to conclude that free radical intermediates
                                                                   A variant is independent synthesis of a presumed in-
               are implicated.
                                                                 termediate, which offers the further opportunity to test
                 A convincing procedure is to observe the intermedi-
                                                                 whether it is converted to product (or, even better, to the
               ate. This is particularly informative since it permits the
                                                                 identical mixture of products) under the reaction con-
               intermediate to be characterized spectroscopically and its
                                                                 ditions. For example, it is possible to prepare salts of
               properties elucidated. Usually the intermediate is too un-  +
                                                                 NO and to show that these react with aromatic hydro-
                                                                    2
               stable to be observed under the reaction conditions. One
                                                                 carbons to form the same nitration products as with nitric
               possibility is to modify the substrate so as to stabilize
                                                                 acid.
               the intermediate and increase its lifetime. Alternatively,
                                                                   Another possibility is that the presumption of interme-
               it may be possible to modify the conditions so that the
                                                                 diacy must be rejected. For example, the Clemmensen re-
               intermediate persists. For example, treatment of triphe-
                                                                 duction of ketones R 2 C O to hydrocarbons R 2 CH 2 with
               nylmethanol with sulfuric acid converts it to the carbo-
                                                                 zinc metal had been thought to proceed via the alcohol
                         +
               cation Ph 3 C , stabilized by resonance delocalization of
                                                                 R 2 CHOH. However, this cannot be an intermediate be-
               the positive charge into the three aromatic rings. Less
                                                                 cause it is found to be inert to the reaction conditions.
               stable carbocations can be prepared in “superacid” so-
               lutions of HSbF 6 , where there is no nucleophile available
               to react, and where they can be characterized by NMR  V. ILLUSTRATIVE EXAMPLES
               spectroscopy. Similarly, many intermediates can be pre-
               served by eliminating other species that they might react
                                                                 A. Computation and Structure
               with. Thus carbanions can be observed under conditions
               that scrupulously exclude water and other electrophiles.  The location of the hydrogen in a hydrogen bond is an
               For example, the basicity of enolates and related anions  intriguing question of molecular structure that can now be
               can be measured by titration in dimethyl sulfoxide, and  addressed confidently by high-level computations. Usu-
               Table VIII lists some acidity constants of their conjugate  ally a hydrogen is bonded covalently to one oxygen and
               acids. Preserving free radicals and carbenes (R 2 C) is more  hydrogen-bonded to the other. If the two oxygens are
               challenging since they react with themselves, but the rem-  of equal or nearly equal basicity, the hydrogen may be
               edy is to immobilize them in a solid matrix so that they  bonded to either and jump quickly from one to the other
               cannot encounter another reactive partner. Reactive inter-  [Eq. (49)]. In contrast, for the monoanion of phthalic acid
               mediates that rearrange by themselves, such as strained  (124), recent quantum mechanical calculations indicate
               structures (40 with n = 6–8, 41, 84) and some carbenes  a symmetric structure, with the hydrogen centered be-
               and carbocations, can often be generated at low temper-  tween the hydrogens and bonded equally to both. This
               ature, perhaps photochemically. Similarly, electronically  conclusion is quite sensitive to the oxygen–oxygen dis-
               excited states can be generated photochemically and their  tance d O O , which must be short. With a highly accurate
               behavior studied.                                 method known as density functional theory d O O for the
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