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3-44                                                             MEMS: Design and Fabrication



                                                       HF(49.25%)



                                 Peaked corners
                                    8 edges
                                 Square corners
                                    8 edges
                                 Rounded corners
                                    8 edges










                                    H O                                      HNO  (69.51%)
                                                                                 3
                                     2
             FIGURE 3.30 Topology of etched Si surfaces. (Reprinted with permission from Schwartz, B., and Robbins, H. [1976]
             “Chemical Etching of Silicon-IV: Etching Technology,” J. Electrochem. Soc. 123, 1903–9.)


                                                         Temperature (°C)
                                                50 45 40 35 30 25 20 15
                                        200



                                        100       45% HNO , 20% HF, 35% HC H O  2
                                                           3
                                                                            2
                                                                              3
                                         80

                                         40
                                      Reaction rate (µm/min)  20








                                         10
                                          8




                                          4
                                                                     Reaction kinetics
                                            Reaction kinetics        surface dominated-
                                            diffusion dominated-     etching is
                                            smooth surface           preferential
                                          2
                                                 3.1  3.2   3.3   3.4  3.5   3.6
                                                                    –1
                                                           1000/T (K )
             FIGURE 3.31 Etching an Arrhenius plot. Temperature dependence of the etch rate of Si in HF:HNO :CH :COOH
                                                                                                     3
                                                                                                 3
             (1:4:3). (Reprinted with permission from Schwartz, B., and Robbins, H. [1961] “Chemical Etching of Silicon-III: A
             Temperature Study in the Acid System,” J. Electrochem. Soc. 108, pp. 365–72.)

               With isotropic etchants, the etchant moves downward and outward from an opening in the mask,
             undercuts the mask, and enlarges the etched pit while deepening it (Figure 3.32). The resulting isotropi-
             cally etched features show more symmetry and rounding when agitation accompanies the etching (the
             process is diffusion limited). This agitation effect is illustrated in Figure 3.32. With agitation, the etched



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