Page 157 - Introduction to Colloid and Surface Chemistry
P. 157

146  The solid-gas  interface
        are  studied  on  the  basis  that  they  will  remain  intact  when  the
        adsorptive  has been  pumped  away.
          Consider  the  diffraction  from  a one-dimensional  row of regularly
        spaced  atoms.  From  Figure  5.19 it can be seen that the condition for
        constructive interference is

             A  =  d  sin  0  =  nX                            (5.16)

        The  diffracted  maxima will, therefore, lie on the surfaces of cones,  as
        illustrated  in Figure  5.20.
          Diffraction  from  the  rows of atoms  in the  second  direction  will  be
        similar  and  the  diffraction  maxima for  the  two-dimensional  net  will
        be  an  array of points  corresponding  to  the  lines where  the maxima
        cones for each  dimension  meet.  From  equation  (5.16) it can be  seen
        that  the  spacings  between  diffraction  maxima are  inversely  propor-













                 ( 2 x 2 )                      (2x2)


                                          (d)
                                            <$•      €)



                                             (£•



                (2x2)
                                             Top left:  C ( 2 x 2 )
                                             Bottom  right:  (v7 x V2)  R45 C
        Figure  5.17  Examples  and  nomenclature  of  surface  layers.  Substrate  atoms  are
        represented  by dots and  adatoms  by circles. The unit (1x1) mesh  of the substrate is
        shown  bottom  left
   152   153   154   155   156   157   158   159   160   161   162