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              Electron Transfer Reactions                                                                 351

                Understanding of individual electron transfer processes  The result is the same whether one chooses to call either
              involves obtaining (to various degrees) knowledge of the  of these processes electron transfer followed by transfer
                                                                                        −
              following:                                        of labilized ligand (O 2−  or Cl ) or atom transfer result-
                                                                ing in a net electron transfer in the opposite direction. In
                1. Potentials of half-reactions—“Is the reaction ther-  each case, electron transfer would produce states in which
              modynamically feasible?”                          the bond that breaks would have become labilized and the
                2. Structures of reactants and products. These can give  bond formed would have become inert. Electron transfer
              clues to what must happen in the system to provide sensi-  astheprimaryactionisconsistentwiththeFranck-Condon
              ble pathways for the overall electron transfer to occur.  principle that electron transitions in atomic systems are
                3. Identification of intermediates—evidence for steps  very rapid compared with nuclear motions, but one can-
              along the way.                                    notexperimentallydeterminethatitisprimaryunlessthere
                4. Kinetics. Reaction rates can be analyzed to postulate  is detection of intermediate complexes—in this case pre-
              steps leading to an activated state, the formula, and the  ceding and following formation of the oxygen or chlorine
              structure of the activated state for electron transfer. Most  bridge.
              redox reactions involve very complex rearrangements of
              atoms and ions as well as electron transfer, as witness the
                            −
              reduction of MnO to Mn . Not only are five electrons
                                   2+
                            4
              accepted by Mn(VII), but eight protons are needed to con-
              vert four coordinated oxide ions to water (see Table II).
                                                                  This complex, in which electrons have been trans-
              III. ATOM TRANSFER VERSUS                         ferred from S to Cl, could also hydrolyze to give 2H ,
                                                                                                            +
                 ELECTRON TRANSFER                              SO , and ClO . In most cases the order of events
                                                                  2−
                                                                             −
                                                                  4          2
                                                                following formation of the active state—electron transfer,
              Chemists have characterized two classes of redox reac-  hydrolysis, O–Cl bond scission, and so forth—cannot
              tions: atom transfer and electron transfer. The classic ex-  be determined. (This powerful isotopic tracer method
              ample of atom transfer involves the aqueous oxidation of  of observing atoms being transferred in redox reactions
              sulfite ion by chlorate ion in which  18 O atoms initially  from an inert reactant to form an inert product was
              bound to chlorine are found bound to the product sulfate,  pioneered by Henry Taube, who received the Nobel Prize
              which thus precludes exchange of oxygen with water dur-  in 1984.) For electron transfer to occur, there must be
              ing the process:                                  contact between electron donor and acceptor, adequate
                              18
                                       18
                                 −
                                                  −
                     3SO 2−  + Cl O → 3 OSO 2−  + Cl .          potential to effect transfer and overcome any barriers, and
                                            3
                                 3
                        3
                                                                a mechanism for conduction of electron(s) from donor to
              The  rate  of  the  reaction  is  given  by  rate =  acceptor. Conduction may take place through delocalized
                            + 2
                  2−
              k[SO ][ClO ][H ] , consistent with the formation
                        −
                  3     3                                       molecular orbitals as in the conduction bands of metals or
              of an activated complex:
                                                                π-bonding systems as in graphite. Reactions have been
                                                                observed to occur with a breakdown in Arrhenius plots
                                                                of the temperature coefficient of reaction rate. Electron
                                                                transfers involving no energy of activation are thought
                                                                to occur by quantum-mechanical tunneling. Electron
                                                                transfer reactions over long distances are of great current
                The S and Cl atoms have identical electronic structures  interest in the study of redox phenomena in biological sys-
              as SO 2 , produced by two protons acting on SO , coordi-  tems, where currents are found to be carried by electrons
                                                  2−
                                                  3
              nates to an oxygen of ClO . A positive potential allows  through connected orbital systems, by tunneling, and by
                                   −
                                   3
              sulfur to transfer two electrons to chlorine. This causes  series of coupled redox reactions as in the respiratory
              scission of the O–Cl bond as water attacks the sulfur, form-  chain below. In this overall process oxygen molecules
              ing SO 2−  containing an oxygen atom originally bound to  accept electrons from NADH. The electrons are trans-
                   4
                             −
              the chlorine in ClO .                             mitted by a series of electron transfer reactions between
                             3
                In a similar way chlorine atoms are transferred in the  metal centers embedded in enzymes and labile organic
              reaction:                                         redox couples in FAD and coenzyme Q. Cytochrome
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