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7-26                                                             MEMS: Design and Fabrication



                       70
                       60
                     Net bridge output (mV)  50

                       40

                       30
                       20

                       10
                        0
                          0     100    200     300    400    500    600    700     800    900    1000
                                                     Applied pressure (psi)
                            23 C       100 C      200 C       300 C      400 C       500 C      600 C

             FIGURE 7.17 Net bridge output voltage of 6H-SiC pressure sensor as function of pressure at various temperature
             regime.



                                  −0.1
                                 −0.11
                                 −0.12
                                 −0.13
                               TCGF (%/°C)  −0.14

                                 −0.15
                                 −0.16
                                 −0.17
                                 −0.18
                                 −0.19
                                  −0.2
                                      0     100     200    300    400     500    600    700
                                                         Temperature (°C)

             FIGURE 7.18 Temperature coefficient of gauge factor of 6H-SiC (calculated over 100°C increments) as function of
                                                    19
                                                         3
             temperature (epilayer doping level, N   2   10 cm ).
                                           d
             applied pressure at various temperatures, is shown in Figure 7.17 for sensor #10. With a bridge input of
             5V, the full-scale output (FSO) was 66.42mV at room temperature for an applied pressure of 1000 psi,
             indicating a sensitivity of 0.013mV/V/psi. Very low hysterisis of 0.7% FSO and nonlinearity of  0.9%
             FSO were obtained. The 600°C output of 25.04mV indicated a 62% output drop from the room tem-
             perature value. The characterization of the GF,described in Section 7.2, showed a linear drop in GF with
             increased temperature. The output was observed to decrease as temperature increased, but it became
             gradually insensitive to temperature as the temperature approached 600°C. Keyes (1960) had previously
             predicted this behavior in silicon. The temperature coefficient of gauge factor (TCGF), a measure of the
             output sensitivity to temperature, is defined here as:

                                                    1  V   V
                                                        (T)
                                                              (T o )
                                              γ                 100 [%/°C]                             (7.28)
                                                  V (T o )  T   T o
             where V (T o)  and V (T)  are the full scale outputs at room temperature and final temperature. The TCGF (cal-
             culated over 100°C increments), shown in Figure 7.18, indicated an initial pronounced sensitivity that
             approached smaller (less-negative) values as the temperature increased. The TCGF response is expected to
                                                                  19
                                                                       3
             be lower in magnitude for doping levels greater than 2   10 cm . The effect of temperature on resistance


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