Page 107 - Introduction to Colloid and Surface Chemistry
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Liquid-gas  and  liquid-liquid interfaces  97

         molecule  in thickness with the hydrophilic -COOH or -OH  groups
        orientated  towards  the  water  phase  and  the  hydrophobic  hydrocarbon
         chains  orientated  away from  the  water  phase.
           These insoluble  monomolecular films, or monolayers, represent an
         extreme  case  in adsorption  at  liquid  surfaces,  as all the  molecules in
         question  are  concentrated  in one  molecular layer at the interface.  In
         this  respect  they  lend  themselves  to  direct  study.  In  contrast  to
        monolayers  which  are  formed  by  adsorption  from  solution,  the
        surface  concentrations  of  insoluble  films  are  known  directly  from
         the amount of material spread and the area  of the surface, recourse  to
        the  Gibbs  equation  being  unnecessary.
          The  molecules  in a monomolecular film, especially at high surface
        concentrations,  are often arranged in a simple manner, and much can
        be  learned  about  the  size,  shape  and  orientation  of  the  individual
        molecules  by studying various  properties  of  the  monolayer.  Mono-
        molecular  films  can  exist  in  different,  two-dimensional  physical
        states,  depending  mainly on  the  magnitude of  the  lateral  adhesive
        forces  between  the film molecules,  in  much the  same  way as three-
        dimensional  matter.

        Experimental  techniques  for  studying  insoluble  monolayers

        Surface  pressure

        The surface pressure  of a monolayer is the lowering of surface  tension
        due to the monolayer -  i.e. it is the expanding pressure  exerted  by the
        monolayer which opposes the normal contracting tension of the clean
        interface,  or

             TT  -  JQ  -  y                                  (4.14)

        where  y 0  is  the  tension  of  clean  interface  and  y  is  the  tension  of
        interface  plus  monolayer.
          The  variation  of  surface  pressure  with  the  area  available  to  the
        spread  material  is represented  by a ir-A  (force-area)  curve.  With a
        little  imagination,  IT-A  curves  can  be  regarded  as  the  two-
        dimensional  equivalent  of  the  p-V  curves  for  three  dimensional
                                                                 1
        matter.  (N.B. For a 1 nm thick film, a surface pressure of 1 mN m"  is
                                       6     2
        equivalent  to a bulk pressure  of  10  N m~ , or ~  10 atm.)
          The Langmuir-Adam surface balance  (or trough) uses a technique
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