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                                A Critique of the Additivity Principle for MixedA

                                                        Couples

                                                      Michael Spiro

                                  Department of Chemistry, Imperial College of Science, Technology and Medicine,
                                                 London SW7 2AY United Kingdom


                                                   I. INTRODUCTION

                                                                       1
                                Wagner and Traud, in their seminal paper in 1938,  clearly enunciated the
                                principle  of  adding  current-potential  curves  when  two  (or  more)  couples
                                are present together. Since then the additivityprinciple, sometimes called
                                the superposition  or  mixed  potential  theory,  has  been  applied  throughout
                                electrochemistry and has often been accepted almost as an article of faith.=
                                It has proved to be of particular importance in understanding such indus-
                                trial processes as corrosion, mineral extraction, froth flotation, electroless
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                                plating,  and  photographic  development.   It  is  surprising,  then,  that  few
                                unambiguous  tests  of  the  validity  of  the  additivity  principle  have  been
                                available  until  recently.  Evidence  obtained  in  the past  few  years  has  now
                                revealed  cases  in  which  previously  unsuspected  interactions  occur  be-
                                tween  the  couples  or  with  the  electrode.= This  evidence,  described  below,
                                has  now  led  to  a reformulation  of the  additivity  principle  that  extends  its
                                validity.


                                             II.  THE ADDITIVITY PRINCIPLE
                                An  electrode  in  a  system  containing  two  couples  automatically  adopts  a
                                mixed potential (or more correctly, a mixture potential) E .  At  this
                                                                                mix

                                Modem Aspects of Electrochemistry, Number 34, edited by John O'M. Bockris et al.
                                Kluwer Academic / Plenum Publishers, New YoÀ,=2001.

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