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186 Inertial Sensors
Metal contacts
Damping holes
Silicon
proof mass
Polysilicon
top/bottom Polysilicon
electrode stiffeners Proof mass
suspension beams
Cross-sectional
view
Figure 8.11 High-performance capacitive accelerometer using a combination of surface and
bulk-micromachining techniques. The polysilicon electrodes include stiffening ribs. (After: [33].)
read-out electronics on the same chip. These comprise a MOS transistor in close
proximity to the piezoelectric sensing element to minimize charge leakage. The
accelerometer has a sensitivity of 1.5 mV/G with a flat frequency response of 3 Hz to
3 kHz.
Lead zirconate titanate (PZT) is another piezoelectric material often used for
accelerometers. It can be sputtered at temperatures around 550°C to form thin-films
of approximately 1 µm. Nemirovsky et al. [35] describe an accelerometer based on
this technique, which resulted in a sensitivity of 320 mV/G and a very wide band-
width from 1 Hz to 200 kHz. A more recent device is presented by Beeby et al. [36],
which also uses PZT as piezoelectric material but employs a thick-film screen-
printing technique to deposit layers of up to 60-µm thickness. The design of the sens-
ing element and a SEM photograph are shown in Figure 8.12.
The fabrication process is simple and the yield was shown to be very high. The
2
sensitivity was given as 16 pC/m/s , which was considerably higher than the devices
using thin, sputtered zinc oxide (ZnO) layers.
8.2.2.4 Tunneling Accelerometers
The tunneling current from a sharp tip to an electrode is an exponential function of
the tip-electrode distance and hence can be used for position measurement of a proof
mass. The tunneling current is given by
I = I exp (−βφ z ) (8.6)
0
where I is a scaling current dependent on material and tip shape (a typical value is
0
–1/2
–6
1.4 10 A), β is a conversion factor with a typical value of 10.25 eV /nm, φ is the
tunnel barrier height with a typical value of 0.5 eV, and z is the tip/electrode dis-
tance. The distance between the tunneling tip and the electrode has to be precisely