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An exam 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, for a total of 300 marks. Questions cover topics such as micromachining processes, crystal planes, etching, thin film formation, mems sensors, and rf applications.
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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) Illustrate bulk and surface micromachining processes. Compare compatibility
for CMOS integration of these processes. [30 marks] (b) Using a cubic crystal model, illustrate the crystal planes given by the Miller Indices (011), (111) and (010). [30 marks] (c) When etching (100) silicon wafers, the (111) crystal plane emerges at an angle of 54.7o^. If a mask with dimensions 993μm*818μm is used to etch a 10μm thick pressure membrane in a 500 μm thick wafer using KOH etching, determine the dimensions of the fabricated pressure membrane. Sketch the device etch profile. [40 marks]
Q2. (a)^ Describe^ and^ illustrate^ a^ bulk^ micromachining^ process^ using^ an electrochemical etch stop and bonding to glass to form an absolute pressure sensor. [30 marks] (b) Describe with the aid of a diagram the process of thin film formation using chemical vapour deposition. Outline the process parameters which most influence thin film properties.. [30 marks] (c) What are the sources of residual stress in MEMS thin films and what problems are associated with residual stress in MEMS devices? [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 the requirements for fabrication of a capacitive polysilicon surface micromachined accelerometer. In particular pay attention to location in the process flow, CMOS compatibility, effect of stress and stress gradient. [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. [20 marks] (d) Describe ways in which the sensitivity of the designed accelerometer could be improved. [15 marks]
Required accelerometer resolution 0.25g Inertial mass area 300 μm * 200μm Polysilicon density 2330 kg/m^3 Capacitance detection 100 interdigitated fingers each of length 100 μm, width 1.5μm and spacing to substrate fingers of 1μm Minimum detectable capacitance change
35aF (*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:
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