Page 106 - Sami Franssila Introduction to Microfabrication
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Thin-film Growth and Structure 85



             Wafers are ca. 1000 times thicker than films, and  high-temperature anneal will result in tensile stress
           because all solids have similar elastic constants, wafer  (Figure 7.13).
           stresses and strains are ca. 1000 times less than those of  Bimetal thermometer is a classic example of a thermal
           thin films. Thin-film stresses are of the order of 10 to  expansion coefficient mismatch. Bimorph structures can
                                       2
           1000 MPa (1000 MPa = 10 10  dyn/cm ).       be used as sensors and actuators in microsystems, but the
             Annealing temperature can be used to tailor stresses:  initial shape has to be known. Shown in Figure 7.14 are
           a long-time, low-temperature anneal of fine-grained  SiO 2 /Al and SiO 2 /Ti cantilevers, which are bent because
           LPCVD silicon (deposited at 580 C) will result  of stresses in the structures, without external sensing
                                        ◦
           in a slightly compressively stressed film, while  or actuation force. In a single material cantilever (e.g.,
                             0.004         700°C   650°C

                             0.003
                            Tension  0.002  850°C  950°C


                             0.001
                                              ο
                                           1050 c
                                 0
                                         30      60      90     120     150    180
                             −0.001                          Time (min)
                             −0.002        Anneal curves
                           Compression  −0.003  for polysilicon


                             −0.004
                             −0.005        Strain vs time

                             −0.006         600°C
                             −0.007

                                               ◦
           Figure 7.13 Different anneal processes for 580 C deposited polysilicon. Reproduced from Guckel, H. (1988), by
           permission of IEEE



















                                (a)                                      (b)
           Figure 7.14 (a) Compressive stress in SiO 2 /Al cantilevers causes downward bending and (b) tensile stress in SiO 2 /Ti
           cantilevers leads to upward bending. Reproduced from Fang, W. & C.-Y. Lo (2000), by permission of Elsevier
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