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Main points of this exam paper are: Anisotropic, Surface Micromachining, Bulk, Integration, Pressure Sensor, Piezoresistive, Fabricated, Crystal Planes, Bulk Micromachining, Crystal Plane
Typology: Exams
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Answer any (^) three questions [each 100 marks].
Maximum available marks is 300.
All questions carry equal marks.
Examiners: Mr. Martin Hill Prof. G. Hurley Dr. S. Foley
Q1. (a) Illustrate bulk and surface micromachining processes. Compare compatibility
for CMOS integration of these processes. [33 marks]
(b) Describe how a pressure sensor with piezoresistive readout could be fabricated both surface and bulk micromaching processes. Use diagrams to illustrate the device construction. [34 marks]
(c) Using a cubic crystal model, illustrate the crystal planes given by the Miller Indices (110), (100) and (111). [33 marks]
Q2. (a) Describe isotropic and anisotropic etching for bulk micromachining. [40 marks]
(b) Anisotropic KOH etching of silicon is widely used for feature definition. What are the main parameters that determine the etch rate? [20 marks] (c) When etching (100) silicon wafers, the (111) crystal plane emerges at an angle
etched in a (100) silicon wafer using KOH etching. The profile is shown.in Fig. Q2(c) [30 marks] (d) If the via is to be etched through the wafer, how can wafer thinning assist in reducing costs. [10 marks]
100 μm
(100)
(111)
100 μm
(100)
(111)
Figure Q2(c)
Q3. (a) Describe a process flow for the fabrication of a post-CMOS surface
micromachined metal-oxide switch. In particular pay attention to process restriction and the effect of stress and stress gradient. [35 marks]
(b) For the capacitive accelerometer (in a 1.5μm polysilicon process) shown in the layout in Fig. Q3(b) calculate the required spring constant of the beams given the information and requirements in the table below? [40 marks] (c) Calculate suitable dimensions for the spring flexures for this requirement. [25 marks]
Required accelerometer resolution 0.4g Inertial mass area 400 μm * 200μm Silicon density 2330 kg/m^3 Capacitance detection 60 interdigitated fingers each of length 100 μm, width 2μm and spacing to substrate fingers of 1μm Minimum detectable capacitance change
150aF (*10 -18^ )
Air permittivity ε 0 8.85 * 10-12^ F/m
Note : Mass is sum of inertial mass and mass of fingers. All fingers not shown in diagram.
Figure 3(b)
Accelerometer anchor
Inertial Mass
Support flexure
Static capacitor fingers (^) Moving capacitor fingers
Accelerometer anchor
Inertial Mass
Support flexure
Static capacitor fingers (^) Moving capacitor fingers
Interatomic Spacing
Piezoresistive strain gauge factor
Moment/curvature relationship
For an isotropic beam I, the moment of inertia of the beam cross-section is
bh^3 I =
Cantilever beam bending under end loading with a point force F at endpoint x=L
Fx L x y x 6
y L 3
3 = (^3)
3 (^3 )
Ebh L
yL
K (^) y = = =
Cantilever beam bending under end moment M
Mx y x 2
By superposition with a combined end force and moment
Mx EI
Fx L x y x 6 2
2 2
Axial compression:
F δ σ = = ε= EA
δ L = L
Ebh L
K (^) x = =
2 2 2
Stress in thin films
Thermal strain
Stoney Formula –Curvature due to thin film stress
Stress Gradient Bending
Polysilicon Properties
Elastic Modulus = 165 GPa
Density = 2330 kg/m^3
Aluminium Properties
Elastic Modulus = 77 GPa
Density = 2700 kg/m^3
Silicon Dioxide Properties
Relative Permittivity = 3.
s f
s s f
2