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54    MEMS MATERIALS AND THEIR  PREPARATION

             Table 3.6  Electrical, mechanical,  and thermal  properties  of crystalline  silicon

      Electrical                 Mechanical              Thermal
                                                9     2
      Resistivity  1–50  Qcm    Yield      7 x  10  N/m  Thermal    1.57 W/cm°C
      (P-doped)                 strength                 conductivity
                                                 11
                                                                            –6
      Resistivity  0.005-10 Qcm Young's    1.9 x 10  N/m 2  Thermal  2.33 x  10 /°C
      (Sb-doped)                modulus                  expansion
      Resistivity  0.005–50 Qcm Density    2.3  g/cm 3       -           -
      (B-doped)
      Minority-carrier 30-300  us  Dislocations <500/cm 2    —           —
        lifetime


      thought  of  as a  semiconductor  with a wide  band  gap of  ~6  eV,  and its  structure  is that
      of  two  interleaved  FCC arrays,  in which one  array is  about a fraction of  the  interatomic
      distance  from  the other.  In the gallium arsenide-type of compound, one of the two arrays
      is  composed  entirely  of  gallium  atoms,  whereas  the  other  array  is  composed  of  arsenic
      atoms.  This  particular  class  of  the  diamond  structure  is  called  the  zinc-blende structure.
      In  the  diamond  lattice,  each  atom  has  four  nearest  neighbours.  In  both  elemental  and
      compound  semiconductors,  there  is  an  average  of  four  valence  electrons  per  atom. Each
      atom is thus held in the crystal by  four  covalent bonds,  wherein two electrons  participate
      in  each  bond.  In  a  perfect  semiconductor  crystal  and  at  absolute  zero  temperature,  the
      number  of electrons  available would  exactly fill the  inner atomic  shells  and  the covalent
      bonds. At temperatures above absolute zero, some of these electrons  gain enough thermal
      energy to break loose  from  these covalent bonds and become free  electrons. Free electrons
      are  responsible  for  electrical  conduction  across  the  semiconductor  crystal.  Some  of  the
      physical  properties  of  selected  semiconductor crystals  are  given  in Table 3.6.

      3.3.2  Semiconductors:  Growth  and Deposition

      To  demonstrate  the  methods  of  growing  semiconductors,  let  us  consider  crystal  growth
      of  silicon  in  detail.  Silicon  is  used  as  an  example  because  it  is  the  most  utilised  semi-
      conductor in  microelectronics  and MEMS.  In fact,  the next three  chapters  are devoted  to
      conventional  silicon  microtechnology  (Chapter 4), bulk micromachining  (Chapter  5), and
      surface  (Chapter  6) micromachining  techniques.
        Section  3.3.2.1 briefly  outlines  silicon crystal  growth from  the melt -  a technique  that
      is  widely  used  in  growing bulk  silicon  wafers. This  is  followed  by  the  epitaxial  growth
      of  thin crystalline  silicon  layers  in  Section  3.3.2.2. A variation  of  the  method  for  silicon
      growth from the  melt is the Bridgman technique  that is used for growing gallium  arsenide
     wafers.  The Bridgman  technique  is not discussed  in this chapter  (for a description  of the
     Bridgman  technique  see  Tuck  and  Christopoulous  (1986)).  A  more  detailed  description
     of  the  way  in  which  silicon  wafers  are  made  is  given  in  Section 4.2. However, a brief
      overview  is presented  in the  following  subsections.

     3.3.2.1  Silicon  crystal  growth from the melt

      Basically,  the  technique  used for  silicon  crystal  growth from  the  melt  is the  Czochralski
     technique. The technique starts when a pure form  of sand (SiO 2) called quartzite  is placed
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