Page 57 - Introduction to Colloid and Surface Chemistry
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Optical properties  47

         disadvantage  of the  technique;  for example, in microelectrophoresis
         (see  page  192)  it  permits  the  observation  of  particles  located  at  a
         narrowly defined level in the  electrophoresis cell.
           Particle  sizes  as measured  by optical  microscopy are  likely to be in
         serious  error  for  diameters  less  than  c.  2  /Am,  although the  limit  of
         resolution  is some  ten  times better than  this (see  Table  3.1).


         Table  3,1  Determination  of  the  diameters  of  spherical  particles  by  optical micro-
         scopy 29

                   True  diameter/pirn     Visual  estimate/p

                          1,0                    1.13
                          0.5                    0.68
                        *s  0.2                  0.5


           In  addition  to  the  question  of resolving  power,  the  visibility of an
        object  may  be  limited owing to  lack of optical contrast  between  the
         object  and  its surrounding background.
          Two  techniques  for  overcoming  the  limitations of  optical  micro-
        scopy  are  of particular value in the  study of colloidal systems.  They
                               36 37
        are  electron  microscopy " ,  in  which  the  limit  of  resolution  is
        greatly extended,  and  dark-field  microscopy,  in which the minimum
        observable  contrast  is greatly reduced.

        The transmission electron  microscope

        To  increase  the  resolving  power  of  a  microscope  so  that  matter  of
        colloidal  (and  smaller)  dimensions  may  be  observed  directly,  the
        wavelength of the radiation used must be reduced considerably  below
        that of visible  light.  Electron  beams can  be  produced  with wavelengths
        of  the  order  of  0.01  nm  and  focused  by  electric  or  magnetic  fields,
        which  act  as the  equivalent of  lenses.  The  resolution  of  an  electron
        microscope is limited not  so much by wavelength as by the  technical
        difficulties  of  stabilising  high-tension  supplies  and  correcting  lens
        aberrations. Only lenses  with  a numerical aperture  of less than  0.01
        are  usable  at  present.  With  computer  application  to  smooth  out
        'noise' a resolution of 0.2 nm has been attained, which compares with
        atomic  dimensions.  Single  atoms,  however,  will  appear  blurred
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