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36 Introduction to Microfabrication



                            100000
                            10 000                                        p-type

                              1000                                        n-type
                          Resistivity (ohm-cm)  10
                               100


                                1

                               0.1

                              0.01
                             0.001

                            0.0001
                                      1.E+12  1.E+13  1.E+14  1.E+15  1.E+16  1.E+17  1.E+18  1.E+19  1.E+20  1.E+21


                                                                     −3
                                                  Dopant concentration (cm )
            Figure 4.1 Silicon resistivity can be varied over eight orders of magnitude by doping. Data from Hull, R. (1999)


                                                                             ◦
            is therefore different from the ductile fracture of  SiHCl 3 (boiling point 31.8 C) according to the reaction
            multicrystalline steel. Silicon is almost ideally elastic
            (obeying Hooke’s law) up to the yield point, and after  Si + 3HCl −→ SiHCl 3 + H 2 (g)  (4.3)
            that a catastrophic failure takes place. Most metals and
            oxides obey Hooke’s law initially, but then deform  The main impurities in MGS (Fe, B, P) react to form
            plastically before a fracture. The yield strength of  FeCl 3 , BCl 3 and PCl 3 /PCl 5 . Trichlorosilane gas is puri-
            silicon is 7 GPa at room temperature; different steel  fied by distillation, during which FeCl 3 , and PCl 3 /PCl 5
            varieties have yield strengths of 2 to 4 GPa while the  are removed as high boiling point contaminations and
            aluminium yield strength is only 0.17 GPa. Fracture  BCl 3 as low boiling point contamination, and converted
            strain for single-crystal silicon is 4%, an exceptionally  back to solid silicon by the decomposition of SiHCl 3 on
            large value.                                 hot silicon rods by the reaction
                                                           2SiHCl 3 + 2H 2 (g) −→ 2Si (s) + 6HCl (g)  (4.4)
            4.2 SILICON CRYSTAL GROWTH                   This material is of extremely high purity, and is
                                                         known as electronic grade silicon (EGS). EGS is a
            4.2.1 Purification of silicon                 polycrystalline material, which is used as a source
                                                         material in single-crystal growth.
            Silicon-wafer manufacturing is a multistep process
            that begins with sand purification and ends with final
            polishing and defect inspection. Silica sand, SiO 2 , is  4.2.2 Czochralski crystal growth (CZ)
            reduced by carbon, yielding 98% pure silicon according  In CZ-growth, a silica crucible (SiO 2 ) is filled with
            to the reaction                              undoped electronic grade polysilicon. The dopant is
                                                         introduced by adding pieces of doped silicon (for low
                      SiO 2 + 2C −→ Si + 2CO (g)  (4.2)  doping concentration) or elemental dopants P, B, Sb
                                                         or As (for high doping concentration). The crucible is
            This material is known as metallurgical grade silicon  heated in vacuum to ca. 1420 C to melt the silicon
                                                                                 ◦
            (MGS). MGS is converted to gaseous trichlorosilane  (Figure 4.2). A single-crystalline seed of known crystal
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