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               348                                                                              Electron Transfer Reactions


               Phlogiston An eighteenth-century principle applied to  burned and to ores when they were reduced to metals. The
                  allchemicalprocesses;itcanbesensiblyidentifiedwith  reaction above could be described as a phlogiston transfer
                  the modern concept of the electron.            reaction in which zinc becomes dephlogisticated. Hydro-
                       ∗
               π and π orbitals Orbitals formed by the overlap of p  gen gas was described by Cavendish about 1770 as pure,
                  atomic orbitals on nonmetals and t 2g d orbitals on tran-  gaseous phlogiston, since it was combustible and capa-
                  sition metals to provide pathways for electron transfer.  ble of reducing ores to metal. Lavoisier’s discovery that
               Reducing agent Atom or molecule (e.g., a metal atom)  combustible materials (reducing agents) gained weight by
                  that undergoes oxidation when it transfers electrons to  adding oxygen when they burned in air led to the concept
                  an oxidizing agent.                            of oxidation as addition of oxygen and reduction as re-
               Solvated electron Free electron solvated by a polar sol-  moval of oxygen or to oxidation–reduction reactions as
                  vent such as NH 3 or H 2 O in which it has a long enough  oxygen transfer reactions:
                  lifetime to be studied as a chemical entity—electron
                                                                              2Zn + O 2 → 2ZnO
                  donor or reducing agent.
               Tunneling Quantum-mechanical electron transfer that  and
                  occurs with little or no activation energy and where no
                                                                              Zn + CuO → ZnO + Cu.
                  obvious physical pathway for the electron is apparent.
                                                                   Early in the twentieth century the structure of metal
                                                                                                  2−
                                                                                               2+
                                                                 oxides was deduced to be ionic (Zn O ). In electrol-
               ELECTRON TRANSFER REACTIONS are chemical          ysis cells and batteries, addition of electrons at cath-
                                                                              −
               reactions in which electrons leave a donor atom or a reduc-  odes(Cu 2+  + 2e → Cu)effectedreductionofmetalcom-
               ing agent and join a receptor atom or an oxidizing agent.  pounds to metal, while at anodes metals were corroded,
                                                                                                      −
               This article describes the concepts applied to such reac-  forming ionic compounds (Zn → Zn 2+  + 2e ) by los-
               tions from ancient times to present discussions concerning  ing electrons. This led to the general concept that the
               the states of electrons in atomic and molecular orbitals,  metal was oxidized when it lost electrons to form posi-
               potentials for initiating transfer, and studies designed to  tive ions and that positive metal ions were reduced when
               allow postulation of orbital pathways. A tentative effort  they gained electrons to form the metal. Table I shows a
               is made to develop a scheme for classifying such reac-  history of concepts used to describe oxidation–reduction
               tions in terms of the nature of the pathways employed and  reactions.
               of the numbers of electrons transferred and numbers of
               pathways used in any given activated state. An early re-
                                                                 A. Identifying Phlogiston as Electrons
               sult of supercomputer calculations describing the multiple
               pathways for an electron to follow from the surface of the  There is irony in the fact that the phlogiston theory, which
               protein molecule myoglobin to a heme iron center deep in  was generally applicable to nearly all chemical systems
               the interior of the molecule is discussed.        and processes, was replaced by the oxygen theory, appli-
                                                                 cablespecificallyonlytoclassicalmetallurgyandcombus-
                                                                 tion. If one substitutes the word electrons for phlogiston
               I. ELECTRON TRANSFER AND                          in appropriate writings, the early theory makes complete
                 OXIDATION–REDUCTION                             sense. Attempts to identify phlogiston as a weighable sub-
                                                                 stance had to fail because electrons do not exit separately
               In the reaction of zinc metal with dilute mineral acid, zinc  from the atoms and molecules of substances and they are
               “dissolves” with the evolution of hydrogen gas:   a very small fraction of the weight. All chemical phenom-
                                                                 ena are explicable in terms of electrons as constituents of
                           Zn + 2H → Zn  2+  + H 2 .      (1)
                                   +
                                                                 atoms and molecules, consistent with the general applica-
               Zn reduces H to H 2 and is oxidized to Zn 2+  by transfer of  bility of the older phlogiston theory.
                          +
               two electrons to two hydrogen ions, which forms hydro-
               gen molecules. The term reduction goes back to ancient
                                                                 B. Observation of Electrons and
               metallurgy, when ores were said to be reduced to metals.
                                                                    Electron Transfer Processes
               In 1700 the fact that metallurgical reducing agents (char-
               coal, metals, wood, etc.) also burned in air led to inclusion  Electrons may be observed in electron beams and are un-
               of such reagents in the phlogiston theory then being ap-  doubtedly released as free charged particles at the high
               plied to nearly all chemical phenomena. Reducing agents  temperatures found in the sun and stars. However, on
               were thought to give up phlogiston to the air when they  the surface of the earth they are bound to atomic nuclei
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