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                                               Silicon








           Silicon transistors were first made in 1952, five years  noise than germanium devices with a 0.67 eV gap.
           after the first germanium-based transistors. The elec-  Silicon source gases can be purified to extremely high
           tron mobility in germanium was much higher, and ger-  degrees of purity, meaning that a high resistivity material
           manium crystal growth was more advanced. However,  can be made. Taken together with the high solubility
                                                                       21
           silicon, with its 1.12 eV bandgap, was better suited to  of dopants, up to 10 cm −3  for the common dopants
           higher operating temperatures, and the reverse currents  boron, phosphorus and arsenic, this translates to eight
           were also smaller. The real breakthrough came by the  orders of magnitude resistivity tailoring opportunities
           end of 1950s when the beneficial role of silicon dioxide  (Figure 4.1). Optical absorption in the visible makes
           was recognized: silicon dioxide provided the passivation  silicon suitable for photodetectors and solar cells, and its
           of semiconductor surfaces, and it resulted in improved  transparency in the infrared (above 1.1 µm) is utilized
           transistor reliability. When it was further noticed that  in IR microsystems (Table 4.1).
           SiO 2 layer could act as a diffusion mask and as iso-  Silicon is strong: its Young’s modulus can be as
           lation for integrated metallization, the way was open  high as 190 GPa (for <111> orientation). The excellent
           for the invention of the integrated circuit. Oxide was a  mechanical properties of silicon have been utilized
           suitable isolation material and aluminium metallization  since the 1960s in micromechanical pressure and force
           could be patterned on top of the oxide. Neither GaAs  sensors that rely on bending beams and diaphragms.
           nor Ge form stable and water insoluble oxides.  Piezoresistivity detection depends on doped regions
             Silicon crystal growth rapidly caught up with germa-  for the resistors, and capacitive detection relies on
           nium, and the steady increase in wafer size has continued  the ability to micromachine shallow air gaps of the
           up to this day, with 300 mm diameter wafers now in  order of 1 µm. Both are standard processes in silicon
           production. For other substrates, smaller sizes are still  microfabrication.
           widely used, and when new materials such as silicon  Stress, σ, and strain (elongation), ε, are correlated via
           carbide (SiC) are introduced, the crystal growth and the
           wafering yield are so low that only small ingots and          σ = εE              (4.1)
           small wafers make sense.
             Some 150 million silicon wafers, corresponding to 3  with a constant of proportionality E, the Young’s
                2
           to 4 km , are processed annually. The largest proportion  modulus. Elongation ε can also be stated as  L/L, and
           of them are 150 mm and 200 mm diameter wafers, ca.  stress as force per area, which gives the most familiar
           50 million each, with some 20 million wafers of both  expression of Hooke’s law: F/A = E L/L. When a
           100 mm and 125 mm sizes. The latest 300 mm wafers  piece of material is tensile- stressed, its elongation leads
           accounted for some 10 million slices in 2003.  also to a lateral shrinkage of its diameter, ε lateral =
                                                        D/D. Poisson ratio is defined as ν = −ε lateral /ε tensile .
                                                       Silicon Poisson ratio, 0.27, in silicon is among the lowest
           4.1 SILICON MATERIAL PROPERTIES             of all solids.
                                                         Silicon is as strong as steel, but this fact is
           Silicon material properties are an excellent compromise  disguised by two factors: first, most of us do not
           between performance and stability. An energy gap of  have experience with 0.5 mm-thick steel plates, and
           1.12 eV makes silicon devices less prone to thermal  second, silicon is brittle and the breakage pattern

           Introduction to Microfabrication  Sami Franssila
            2004 John Wiley & Sons, Ltd  ISBNs: 0-470-85105-8 (HB); 0-470-85106-6 (PB)
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