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3.5 INTERACTIONS BETWEEN PARTICLES                                           FUNDAMENTALS
                      (See Fig. 3.5.20). The spectroscope (the resolu-  electrical double layer (Debye length) that changes
                      tion is 3.2 nm/mm) is the core part of this opti-  depending on the salt concentration, i.e. the Debye
                                                                 length decreases with the increased salt concentra-
                      cal system and used to read the wavelength of
                                                                 tion. This is a direct experimental demonstration of
                      the interference fringe (FECO). The wavelength
                                                                 the DLVO theory.
                      of FECO is determined using micrometer      The surface forces measurements enable us to inves-
                      equipped with an encorder and/or a CCD cam-  tigate the electrical double-layer force, which plays an
                      era with a video gauge, at the exit side of a spec-  important role for the stability of colloidal dispersions,
                                                                 and the various interactions due to adsorption of poly-
                      troscope.
                                                                 mers or polyelectrolyte [8–10]. Recently, extending
                  Generally, mica, which is molecularly smooth and  research area, the authors have investigated the
                  transparent, is used as a substrate surface. A thin  adsorption in binary liquids [11], and also developed a
                                                  2
                  film mica sheet (2~3  m thick, 10 mm ) is glued on  resonance shear measurement [12] to characterize
                  the cylindrical quartz lens (20 mm radius, 10 mm  nano-rheological and/or nano-tribological properties
                  diameter).  These lenses are then mounted in an  of liquid in a confined nanospaces. Surface force
                  apparatus in the crossed cylindrical geometry.  measurement becomes one of essential techniques in
                  Interference occurs by the reflected light between  nanomaterial science and technology.
                  the backside of mica surfaces coated with 50-nm
                  silver films, which enhance the interference. Since
                  the surfaces are in the crossed cylindrical geometry,          References
                  the interference fringes show a parabolic shape.  [1] J.N. Israelachvili: Intermolecular and Surface Forces
                  When two surfaces approach, the parabolic curves
                  move toward the short wavelength region, and the   (2nd ed.), Academic Press, London (1991).
                  spaces of adjacent fringes increase. The separation  [2] V.S.J. Craig: Colloids Surfaces A, 129/130, 75 (1997).
                  distance between surfaces can be calculated from the  [3] D. Tabor, H.S. Winterton: Nature, 219, 1120 (1968);
                  wavelength of these interference fringes [6].      D. Tabor, H.S. Winterton: Proc. R. Soc. London Ser. A,
                                                                     312, 435 (1969).
                  (2) Experimental example                       [4] J.N. Israelachvili, G.E. Adams: J. Chem. Soc. Faraday
                  Israelachvili et al. measured the interaction forces  Trans. I, 74, 975 (1978).
                  between mica surfaces in aqueous solutions in the dis-  [5] W.A. Ducker,  T.J. Senden and R.M. Pashley:
                  tance range of 0–100 nm using SFA. Figure 3.5.21   Langmuir, 8, 1831 (1992).
                  compares the force curves measured by SFA and the  [6] CSJ (ed): Colloid Science IV. Experimental Method in
                  DLVO theory for mica surfaces in KNO solution
                                                     3
                     -4
                  (10 ~1 M) [4]. The repulsive force decays exponen-  Colloid Science, Kagakudojin Press, Tokyo (1996).
                  tially with distance, and turns to the short-range  [7] K. Kurihara,  T. Kunitake:  J.  Am. Chem. Soc.,  115,
                  attractive force. The decay length of the long-ranged  10927 (1992).
                  repulsive force is in agreement with that of the  [8] S.S. Patel, M. Tirrell: Annu. Rev. Phys. Chem., 40, 597
                                                                     (1989).
                                                                 [9] K. Kurihara, Y. Murase:Handbook of Polyelectrolytes
                                                                     and their  Applications, Vol.  1,  American  Science
                                                                     Publisher, p. 207 (2002).
                                                                 [10] P. Berndt, K. Kurihara and T. Kunitake: Langmuir, 8,
                                                                     2486 (1992).
                                                                 [11] M. Mizukami, K. Kurihara: Chem. Lett., 1005 (1999);
                                                                     256 (2000).
                                                                 [12] K. Kurihara: Ekisyo, 6, 34 (2002).
                                                                   3.5.3.2 AFM colloid probe method
                                                                 The invention of the surface force apparatus (SFA)
                                                                 has helped create important and fundamental knowl-
                                                                 edge about the interaction forces between solid sur-
                                                                 faces. However, applying the SFA to the measurement
                                                                 of a variety of surfaces is sometimes difficult because
                                                                 of the following: (1) the test surface material must be
                                                                 atomically smooth and transparent, which is practi-
                  Figure 3.5.21                                  cally restricted to mica; (2) it usually takes a long time
                  Surface forces profile between mica surfaces in an  to obtain data; and (3) the instruments are rather less
                  aqueous solution.                              versatile for handling and operation. Due to these

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