Page 307 - Book Hosokawa Nanoparticle Technology Handbook
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FUNDAMENTALS                            CH. 5 CHARACTERIZATION METHODS FOR NANOSTRUCTURE OF MATERIALS

                        Fz                                       the cantilever is known. The force is defined by the
                                                                 equation:
                       d                                                          Fz    k    Z         (5.3.2)
                                                                 The force curve provides a clue to determine the opti-
                                                                 mum setpoint for getting clear image. The shape and
                                b               a
                    Fz =0                                 z      reproducibility of the force curve is used for the
                                            f                    detection of unstable contact between the tip and sur-
                                c                                face, called “false engage”, which disturbs imaging.
                                                      Set point  The jump-in force sometimes damages the surface of
                                                                 soft sample. Measurement in vacuum and liquid
                                                                 decreases jump-in force due to capillary force of
                                       Δz                        water layer on the sample surface and enables imag-
                                           e                     ing with small setpoint to reduce the possibility of
                                                                 damage to the sample surface.
                                                                   5.3.1.4 Topographic imaging 1: contact mode
                                                                 Two primary modes of imaging are contact mode and
                                                                 dynamic mode. In the contact mode, the tip scans while
                                                                 it is in mechanical contact with the sample surface.
                      a              b               c
                                                                  An electronic feedback control of the  Z voltage
                                                                 applied to piezoelectric scanner keeps the resulting
                                                                 deflection corresponding to desired setpoint shown in
                                                                 Fig. 5.3.5 by adjusting the z position of the cantilever.
                                                                 The tip scans along  x-axis with recording of the  x
                                                                 position, x and z displacement of the cantilever,  z.
                      d              e               f
                                                                 During scanning, the deflection of the cantilever is
                                                                 constant ( z   z ). The plot of x versus  z shows
                                                                                2
                                                                           1
                  Figure 5.3.4                                   topographic profile. This principle is same as the sty-
                  Force curve observed in ambient air.
                                                                 lus surface profiler.
                                                                  The Ruster scan of the tip provides the distribution
                  is far from the sample surface, the force Fz is zero  of  z in x–y plane. The distribution is shown in color-
                  (a). As the scanner extends, the tip approaches to the  contrast scale and the topographical image of the
                  sample surface. In air, a single or a few monolayers  sample surface is obtained. The number of scan line
                  of water are present on the sample surface. When  per second is called scan rate. The scan area (the size
                  the tip contacts to the water layer (b), the capillary  of image) and the characteristics of the sample sur-
                  force due to this water layer pulls the tip into the sur-  face influence and determine the optimum scan rate
                  face strongly (c). This attractive force is called as
                  jump-in force. As the scanner continues to extend, the
                  force Fz becomes repulsive (d). Next, the cantilever is
                  pulled away from the sample surface with the piezo-  ΔZ
                  electric scanner. The water layer holds the tip in con-
                  tact with the sample surface and the large attractive
                  force due to adhesion is observed (e). When the adhe-
                  sion is broken, the tip becomes free from the sample
                  surface (f).  When imaging is carried out, the can-
                  tilever approaches to sample surface until the force Fz                 ΔZ     X
                  reaches setpoint.                                                         1
                    When the surface of the tip or the sample surface is
                  contaminated, it is difficult to carry out reproducible
                  measurement of force curve. In such situation, stable                         ΔZ 2    ΔZ
                  AFM measurement with small setpoint is not
                  obtained because the force cannot be maintained to
                  the setpoint. Meanwhile, large setpoint sometimes
                  damages the sample surface during scanning of the
                  cantilever. Thus the reproducible and clear image can-
                  not be obtained. The force during imaging is calcu-  Figure 5.3.5
                  lated from  Z in the curve if the spring constant, k, of  Contact mode.

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