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20                                                      Chapter 1


             used for this  purpose. However, to  accommodate  the possibility  that  the
             plane might be parallel to  one of  the  coordinate  axes,  in  which  case  the
             intersection  would occur at infinity, the reciprocals of these points of
             intersection, (1/h, 1/l, 1/k), are used instead. Figure 1-16(b) shows examples
             crystallographic planes and their corresponding of Miller indices [28] for a
             cubic crystal such as silicon.
                The fact that the aspect ratio of bulk micromachined structures is limited
             by the natural inclination of the crystallographic planes making up the walls,
             motivated the development of techniques to increase it. The sections below
                       o
             address two  f these.

             1.2.2.3  Deep Reactive Ion Etching

                  The  idea  behind DRIE  is  to achieve high-aspect ratio trenches  by
             selectively  enhancing the etch  rate at  the bottom of the  trench,  while
             inhibiting the lateral etch rate. This is  accomplished  by  combining  a
             sequence of plasma etching and polymerization steps [31], [32], see Figure
             1-17(a).

                     Etch
                     Etch
                                          Oxidize            Etch
                                                             Etch
                                          Oxidize

                                            (a)










                                            (b)

             Figure 1-17. Deep reactive ion etching (a) Etching/polymerization sequence. (b) Wall
             scalloping.
                 During the plasma etching steps, as indicated previously, positive ions
             resulting from  the breakdown discharge of a gas above the  silicon  wafer,
             bombard  the  silicon surface as they fall vertically towards the negatively
             charged wafer. To achieve vertical selectivity, the sidewalls are protected by
             a polymer (PR). Thus, this results in etching being primarily effected at the
             bottom of the trench. Each etching step, which may result in a lateral etch of
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