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42    MEMS MATERIALS AND  THEIR PREPARATION

     3.1.2.1  Ionic bonding

     In ionic  bonding,  one element  gives  up its outer-shell  electron(s)  to uncover a stable inner
     shell of eight  electrons (resembling  the nearest noble  element).  The electrons are  attracted
     to  a  second  element  in  which they  can  serve  to  complete  its  outer  shell  of  eight  (again
     resembling  the nearest noble element). An example of ionic bonding is the sodium  chloride
     (NaCl) molecule  in which the sodium  atom donates  its 3s 1  electron,  leaving an L shell of
                                                                       5
                                                                    2
     eight  (as in Ne), whereas the chlorine  atom with an outer shell of seven  (3s 3p ),  attracts
     that electron  to form  an outer shell  of eight (as in AT).  As a result of this electron-transfer
     process,  two ions,  Na +  and Cl~, are formed  (see  Figure  3.4).
        The  ions  formed  in  an  ionic  bond  are  attracted  by  a  coulombic  force  that  is  propor-
     tional  to the product of the charge on the ions  and inversely proportional  to the  square of
     their  separation  when the ions can be regarded  as distinct points  in space.  However, when
     the  ions  are  close  to  one  another,  the  force field changes  and a repulsive force  develops
     between  the electron fields. On the basis of these observations,  a graph of potential  energy
     versus  interatomic  distance  looks  like  the  one  shown in Figure  3.5.  The  minimum in  the
     curve  corresponds to the equilibrium  distance  between  the two ions.








                                  cl                   Na  +   cl


                                         •  Electron

     Figure 3.4  Ionic bonding  of sodium  (Na) and chlorine  (Cl) atoms to form sodium  chloride  (NaCl)





                                         Repulsion







                                               Attraction

                                          Minimum
                                           energy



          Figure 3.5  Variation  of potential energy  with  interatomic distance for an ionic bond
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