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Online proceedings - EDA Publishing Association

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11-13 <br />

May 2011, Aix-en-Provence, France<br />

<br />

D. Guidelines and design rules for 90 nm CMOS-MEMS<br />

III. SYSTEM TEST DESIGNS<br />

Table I shows typical process parameters for the dielectric<br />

etch using a Plasma-Therm 790 parallel-plate RIE system.<br />

As the dielectric etch step is the most challenging step, the<br />

other two etch steps remain the same. For this run the etch<br />

time was slightly longer compared to a coarse-grain post-<br />

CMOS run, and at the end of the process O2 rinsing of the<br />

dies were performed.<br />

TABLE I<br />

Post-process dielectric etch step<br />

Typical<br />

20 CHF3<br />

Gas flow [sccm] 20 CF4<br />

95 O2<br />

Pressure [mT] 100<br />

Power [W] 65<br />

DC bias [V] 270<br />

Time [min] ~120<br />

General observations:<br />

• Beams curling sideways, upwards and even downwards<br />

were observed<br />

• Structures that are long and have sufficiently small widths<br />

will delaminate and start to curl before the release-etch<br />

• Creating uniform spacing in the MEMS area will reduce<br />

the sideways curling phenomenon greatly<br />

• Homogenous material stacks curled less<br />

• Using the active layer will reduce curling<br />

• The thickness of the top metal layer is slightly milled<br />

• Polymer deposition on the sidewalls was negligible<br />

• The top metal layer had clearly defined edges<br />

TABLE II<br />

Tentative 90 nm post-CMOS design rules<br />

Dim. [!m] Rule name Comment<br />

Minimum width 1 W1 Delamination<br />

Maximum width ~10 W2 CMOS rule<br />

Max length fixed-free < 60 L1 Delamination<br />

Max length fixed-fixed < 100 L2 Curling<br />

Max stack thickness ~5 H1 Preliminary<br />

Gap spacing 1.2 S1 Guarantees release<br />

Poly from metal edge 0.6 S2 Prone to etch<br />

Active cover edge 0.3 A1 Reduce curling<br />

Active sep poly ~0.1 A2 CMOS rule<br />

Table II shows general design rules and guidelines for a<br />

general purpose 90 nm CMOS process.<br />

General purpose 90 nm post-CMOS summary:<br />

Pros<br />

• Possible smaller electrostatic gaps<br />

• Less parasitics<br />

• Lower supply voltage for less power consumption<br />

• More intricate routing capabilities<br />

• More in thread with newer CMOS processes<br />

Cons<br />

• Smaller stack thickness possible<br />

• More stringent CMOS design rules, especially the<br />

density rules in the MEMS areas<br />

• Curling and delamination more prominent<br />

In this work, a set of soft-tunable MEMS resonators to be<br />

used as voltage-controlled oscillators (VCO) have been<br />

implemented. Fig. 10 shows an electromechanical equivalent<br />

schematic of the MEMS resonator with the previously<br />

described electromechanical coupling coefficient ". The lz, cz<br />

and rz are related to mechanical and electrical parameters of<br />

the resonator. A signal at the resonance of the resonator<br />

results in the lz and cz reactances becoming equal but with<br />

opposite sign, thus the only part left is the damping part of<br />

the resonator which is rz. When tuning the resonance<br />

frequency with VP, the lz and cz changes values. CP is a<br />

parasitic element from the routing of the MEMS resonator to<br />

the following amplifier.<br />

Fig. 10. Electromechanical schematic representation of the resonator<br />

A soft tunable parallel-plate tuning fork (PPTF) with selfassembly<br />

beams is shown in fig. 11. The part of the<br />

resonator that overlaps the fixed electrodes will have equal<br />

displacement throughout the electrode length in order to<br />

reduce non-linearities. The left part of fig. 11 shows how the<br />

electrostatic gaps are reduced by using self-assembly (SA)<br />

electrodes. The beams are designed to have more metal<br />

layers on one side for each half of the SA length. A lateral<br />

force internally is generated due to built-in sideways stress<br />

during processing, and the SA will move after release and<br />

create a 200 nm small gap between the resonator and the<br />

electrode.<br />

SA (in) PPTF SA (out)<br />

1.2 m<br />

0.6 m<br />

1.2 m<br />

VAC<br />

0.6 m<br />

1 : !<br />

Out<br />

Out<br />

lz cz rz ! : 1<br />

Fig. 11. Left: The self-assembly concept. Right: PPTF-resonator with SA<br />

The lateral displacement of a self-assembly beam is shown<br />

more clearly in fig. 12 where the self-assembly beams are<br />

100 !m long and 2 !m wide. Another MEMS resonator<br />

design with self-assembly beams was implemented as a<br />

clamped-clamped (CC) beam as shown in fig 13.<br />

CP<br />

+<br />

-<br />

119

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