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398    Chapter  Eleven

               texture the solid surface. This increases the effective area between the
               liquid and the solid polymer surface, thus modifying Eq. (11.2). The
               wetting characteristics along textured surfaces have been treated and
               investigated in the past and can be predicted using the Cassie-Baxter
                                        11
               or the Wenzel relationships.  If a droplet, applied onto a textured
               surface, stays standing on the pillar structures according to a fakir
               situation, and the surrounding cavities are filled with vapor or air, the
               Cassie-Baxter situation applies [see Eq. (11.3)]. In contrast, if the drop-
               let wets the entire surface, Young’s equation is simply modified by
               the roughness factor r, which equals the ratio between the real sur-
               face area and the projected area [Eq. (11.4)].
                                cos θ  = f cosθ  + f  cos θ         (11.3)
                                    ∗
                                        s   s   v    v
                                         ∗
                                    cos θ  = rcosθ                  (11.4)

                      ∗
               where θ  =  apparent water contact angle
                     f  =  area fractions of the solid
                      s
                     f = area fractions of vapor
                      v
                   Polypyrrole (PPy) has been electrochemically synthesized to form
               a mesh around pillars made of an insulating polymer (SU8), all made
               on top of a PEDOT:PSS electrode surface. As the PPy mesh is electro-
               chemically switched from the oxidized to its neutral state, both the
               surface tension and its volume change. The result is that the effective
               SU8 pillar height decreases at the same time as the wetting character
               along the PPy phase is altered (Fig. 11.3). In its pristine oxidized state,
               the droplet is “hanging” on the SU8 pillars in accordance to the fakir
               situation (Cassie-Baxter’s case).  As the PPy mesh is reduced, the
               aspect ratio of the structured surface decreases, causing the water
               droplet to contact both the SU8 pillars and the PPy mesh (Wenzel’s
               case). This has a major impact on the wettability characteristics. In the
               pristinely oxidized state, the apparent water contact angle is 129° while
               it decreases to 44° when PPy is reduced (Fig. 11.4).













                    The Cassie-Baxter case           The Wenzel case
               FIGURE 11.3  Illustrations of water droplets added to textured surfaces
               according to the Cassie-Baxter (left) and Wenzel (right) cases.
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