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The summer 2007 exam questions for the bachelor of engineering (honours) in electronic engineering degree at cork institute of technology, focusing on semiconductor processing and microsystems. The exam consists of three questions, each worth 100 marks, with a maximum of 300 marks. The questions cover topics such as mems process integration, accelerometer fabrication, and mems thin film stress. Students are required to answer all three questions.
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(NFQ Level 8)
Answer any (^) three questions [each 100 marks].
Maximum available marks is 300
All questions carry equal marks.
Examiners: Mr. M. Hill Prof. G. Hurley Dr. S. Foley
Q1. (a) Discuss the requirement and constraints on a MEMS process if it is to be
integrated in a CMOS process flow and compare Bulk and Surface micromachining suitability for such integration. [35 marks] (b) Describe how an accelerometer with piezoresitive readout could be fabricated in a bulk micromachining process and identify the parameters which most influence device performance. [35 marks] (c) When etching (100) silicon wafers, the (111) crystal plane emerges at an angle of 54.7 o^. What width of mask area is required to fabricate a 300μm wide 50μm thick pressure membrane in a 300μm thick wafer using KOH etching? Sketch the device etch profile. (^) [30 marks]
Q2. (a) Describe with the aid of diagrams how the fabrication process flow to fabricate a PMOS transistor from a <100> N-type silicon starting wafer. [30 marks] (b) Describe with the aid of a diagram the process of thin film formation using sputtering. Compare this deposition method with alternative processes and identify the deposition parameters that most influence MEMS films. [30 marks] (c) What are the sources of stress gradients in MEMS thin films and what problems are associated with process stress gradients? [20 marks] (d) A surface micromachined aluminium MEMS cantilever had a measured tip deflection of 50μm after sacrificial layer etch. Given the following properties of aluminium calculate the linear thin film stress gradient in MPa/μm. Beam length - 500μm. Elastic Modulus – 77GPa. Poisson’s ratio 0.29. [20 marks]
Q3. (a) Describe a metal/dielectric process flow for post-CMOS MEMS. What are the main considerations in location in the process flow? [25 marks]
(b) For the capacitive accelerometer (in a 1.2μm polysilicon process) shown in layout in Figure 1, calculate the required spring constant of the support beams given the following information and requirements. [40 marks] (c) Calculate a suitable length for the spring flexures if the flexure width is 1μm and for this design determine the cross-axis selectivity of the device. [20 marks] (d) Briefly describe a differential measurement circuit for this application that can reduce cross-axis sensitivity. [15 marks]
Required accelerometer resolution 0.3g Inertial mass area 240 μm * 180μm Polysilicon density 2330 kg/m^3 Capacitance detection 80 interdigitated fingers each of length 110 μm, width 2μm and spacing to substrate fingers of 1μm Minimum detectable capacitance change
30aF (*10 -18^ )
Polysilicon Elastic Modulus 165*10^9 Pa 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 1
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
2