design and fabrication of mems cantilever and other …
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DESIGN AND FABRICATION OF MEMS CANTILEVER AND OTHER BEAM STRUCTURES
by
SHANKAR DUTTA
Department of Physics
Submitted
in fulfillment of the requirements of the degree of Doctor of Philosophy
to the
INDIAN INSTITUTE OF TECHNOLOGY DELHI
FEBRUARY 2012
This thesis is dedicated to
my Father Shri Apur6a Kumar cDutta
CERTIFICATE
This is to certify that the thesis entitled, "Design and Fabrication of MEMS Cantilever and
Other Beam Structures", being submitted by Shankar Dutta for the award of the degree of
Doctor of Philosophy (Ph.D.) to the Indian Institute of Technology Delhi, New Delhi, is a
record of bonafide research work carried out by him under my guidance and supervision. In
my opinion, the thesis has reached the standard of fulfilling the requirements of all the
regulations related to the degree. The results contained in this thesis have not been submitted
in part or full, to any other University or Institute for the award of any degree or diploma.
Dr. Ratnamala Chatterjee Professor
Physics Department Indian Institute of Technology Delhi
New Delhi — 110016, INDIA
ACKNOWLEDGEMENTS
The thesis is based on the research work performed between the years 2007 and 2011 at
MEMS Division, Solid State Physics Laboratory (DRDO), Delhi and Physics Department
(Magnetics and Advanced Ceramics Lab.), Indian Institute of Technology Delhi, India. It is
now my sincere duty and also an opportunity to express my gratitude to all people who
contributed through their guidance, experience, support and friendship to my research work.
First of all, I would like to express my deepest gratitude to my supervisor Prof.
Ratnamala Chatterjee, Physics Department, IIT, Delhi for her intellectual guidance,
continuous interest, generous support and constant encouragement throughout this research
work. She has devoted her invaluable time for me for discussions, writing papers and thesis.
I take privilege to express my gratitude to Director, SSPL for his kind support,
allowing me to work for Ph.D. and providing me a lot of opportunity for the interaction with
national and international scientists in the various conferences and seminars held during the
tenure of my Ph.D.
I also express my sincere gratitude to Director, IIT Delhi for his kind support and
allowing me to pursue Ph.D. at IIT, Delhi.
I express my sincere thanks and heartfelt gratitude to Dr. P. Datta, Scientist `G', Dr.
R.K. Bhan, Scientist `G', Dr. Ramjay Pal, Scientist `F', Mr. Akhilesh Pandey, Scientist `C',
Mr. Brijesh Yadav, Scientist `C', Ms. Isha Yadav, Scientist `C', Mohd. Imran, Scientist `B'
and all other members of MEMS Division for helping me during the tenure of the research.
I am also liked to thankful to Dr. Manoj Kumar Sharma, Dr. Abhishek Pathak, Mr.
Alok Kumar Jha for their co-operation during my research work at IIT Delhi.
Last but not the least I am indebted to my parents, my wife and my lovely kids for their moral
support and encouragement.
SHANKAR DUTTA
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ABSTRACT Micromachined beams (cantilever and other beams) are the most ubiquitous structures in the
field of MEMS. They can act as physical, chemical or biological sensors by detecting
changes in bending or vibrational frequency. From literature it has been found that the
characteristic properties of the micromachined beams are dependent on (i) material properties
and (ii) on the specific design of the beam.
The motivation behind this work is selection of (i) processes and (ii) materials for
successful development of MEMS based cantilever and other beam structures. Proper design
of cantilever and other beam structures have been studied using FEM based simulation.
Fabrication of these structures have also been realized in this work.
Generation of residual stress is a reality associated with the thin film deposition and
consequently also in MEMS structures. It has been found that residual stress can affect the
MEMS devices performances in many ways. The effect of residual stress on three most
common MEMS materials — (a) p+ + silicon, (b) electroplated gold and (c) PZT — is reported
in the thesis. Other properties of these materials are also characterized. Effect of the residual
stress on micromachined cantilever and other beam structures, based on above materials,
have also been discussed in this thesis.
Moreover, design and fabrication issues of development of wet etching based comb-
type microaccelerometer structure (inter-digitated cantilever beam array), with vertical comb
walls and narrow torsion beams, is also discussed in this thesis.
Thus, this thesis offers design, simulation and fabrication of different MEMS
cantilever and other beam structures by surface and bulk micromachining techniques.
Chapter wise description of the theis is briefed below:
Chapter 1 contains a comprehensive literature survey of research in the MEMS field
and the importance of the cantilever and other beam structures.
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Chapter 2 describes the fabrication unit processes used in MEMS devices. The
techniques used to characterize the MEMS materials are also discussed in this chapter.
Chapter 3 presents the optimization of deep boron diffusedp++ silicon layer (>10gm
thick) of boron concentration above 5x1019atoms/cm3. Detailed characterization of the p++
silicon layers, by using HRXRD, SIMS, SEM, FTIR in mid-IR range are reported. Stress
generated due to the deep diffusion is estimated to be — 800MPa using Raman spectroscopy.
The chapter includes fabrication ofp++ silicon cantilever structure.
The effects of residual stress on surface micromachined gold beams are discussed in
chapter 4. Bending of the surface micromachined gold cantilever beams due to residual stress
is studied using FEM simulation. The residual stresses of the deposited electroplated gold
layers are estimated by XRD. The simulated results are correlated with the fabricated gold
cantilever beams. The behavior of a double sided clamped beam structure under residual
stress, for RF MEMS switch is also simulated.
Chapter 5 contains the studies on Lead Zirconium Titanate (PbZrO.52TiO.4803) thin
films deposited on platinized as well as SiO2 coated silicon wafers. The PZT films showed
polycrystalline perovskite phase in XRD data on both the substrates. The samples are
characterized for their ferroelectric properties. The residual stresses generated in the PZT
films are estimated by XRD and wafer curvature measurement techniques. Finally, PZT
cantilever with IDT structures is successfully realized by using DRIE.
Chapter 6 contains design and simulations of wet etching based comb type
microaccelerometer structure. A wet etching based comb-type structure (inter-digitated
cantilever beam array) is modeled using close form equations. Thus calculated results are
then compared with the simulated results obtained using FEM based software (Intellisuit).
In chapter 7, fabrication challenges and process flow of the wet etching based
suspended comb-type microaccelerometer structure are discussed. In this work we
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demonstrated that surface roughness can be minimized by optimizing the wet etching process
in different etchants — KOH, TMAH and EDP. Suspended comb-type accelerometer structure
with vertical comb walls, suspended by two narrow torsional beams is finally realized.
Chapter 8 summarizes the complete research work of the thesis and highlights the
important conclusions drawn from the present research work. The suggestions for further
research in this area are also part of this chapter.
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TABLE OF CONTENTS
Page No.
Certificate i
Acknowledgement ii
Abstract iii
Table of contents vi
List of figures xii
Chapter 1: Introduction to MEMS
1.1 Processes involved in MEMS Technology 3
1.1.1 Bulk Micromachining 3
1.1.2 Surface Micromachining 5
1.1.3 Dissolved Wafer Process (DWP) 7
1.1.4 LIGA 8
1.2 Materials for MEMS 10
1.2.1 Silicon 10
1.2.2 Silicon Dioxide 13
1.2.3 Silicon Nitride 14
1.2.4 Quartz 14
1.2.5 Piezoelectric materials 15
1.2.6 Metals 16
1.2.7 Polymers 17
1.2.8 Shape Memory Alloy 18
1.3 Classification of Micromachined Devices 18
1.4 Brief History of MEMS 19
1.5 Advantages of MEMS 22
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1.5 Advantages of MEMS 22
1.6 Applications of MEMS 23
1.7 Micromachined Cantilever and Other Beam Structures 23
1.8 Effect of Residual Stress in MEMS 25
1.9 Motivation/ Objective 27
2.0 Organization of the Thesis 29
Chapter 2: MEMS Fabrication and Characterization Process Steps
2.1 Design and Modeling of MEMS Structures and Devices 32
2.2 Cleaning of Silicon wafer 34
2.2.1 Wet cleaning 35
2.2.2 Dry cleaning 36
2.3 Thermal Oxidation 37
2.4 Doping 39
2.5 Optical lithography 42
2.5.1 UV light source 42
2.5.2 Photo-mask 43
2.5.3 Exposure system 44
2.5.4 Photoresist 45
2.6 Thin Film Deposition Techniques 46
2.6.1 Physical Vapour Deposition (PVD) 46
2.6.2 Chemical Vapour Deposition (CVD) 49
2.6.3 Electroplating 51
2.6.4 Spin-coating 53
2.7 Etching 55
2.7.1 Wet etching 57
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2.7.2 Deep Reactive Ion Etching 59
2.7.2 Added value of wet etching 61
2.8 Planarization 62
2.9 Wafer Bonding 62
2.9.1 Direct Wafer Bonding 63
2.9.2 Anodic Bonding 64
2.9.3 Intermediate layer assisted bonding 65
2.10 Characterization Techniques 66
2.10.1 Scanning Electron Microscopy (SEM) 66
2.10.2 Secondary Ion Mass Spectrometry (SIMS) 67
2.10.3 Fourier Transform Infrared Spectroscopy 68
2.10.4 High Resolution X-Ray Diffraction 69
2.10.5 Dielectric Measurements 71
2.10.6 Hysteresis (P-E loop) Measurement 72
Chapter 3: Study of deep (>10pm) boron diffused p++ silicon layers for MEMS
cantilever structure
3.1 Introduction 73
3.2 Brief Overview of Diffusion in Silicon 75
3.2.1 Fick's Laws 76
3.2.2 Non-Constant Diffusivity 79
3.2.3 Redistribution of Impurities during Oxidation 80
3.3 Theoretical Estimation of Diffusion Parameters 81
3.4 Deep Boron Diffusion Experiment 82
3.5 Experimental Results 84
3.5.1 SIMS 84
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3.5.2 X-ray Rocking Curve and Reciprocal Space Mapping Study 85
3.5.3 FTIR study 87
3.5.4 Raman Spectroscopy Study 89
3.5.5 SEM study 91
3.6 Fabrication of p++ Silicon Cantilever Structure 93
3.7 Conclusion 98
Chapter 4: Study of the effect of residual stress on surface micromachined gold beams
4.1 Introduction 99
4.2 Effect of residual stress gradient on gold cantilever beam structure 101
4.2.1 Model for Beam curvature due to Intrinsic Stress Gradient 101
4.2.2 Simulation of effect of intrinsic residual stress 103
on micromachined cantilever beam
4.3.2 Fabrication gold cantilever structure 106
4.3.3 Results and Discussion 110
4.3 Effect of Residual Stress Gradient on RFMEMS Switch 114
4.3.1 RF MEMS Switch Principles 114
4.3.2 Simulation 117
4.3.2.1 Mechanical Analysis 117
4.3.2.2 Electromechanical analysis 121
4.4 Conclusion 125
Chapter 5: PZT Thin Films on Platinized and Oxidized Silicon — Design issues for
MEMS structures
5.1 Introduction 127
5.1.1 Brief literature survey on PZT thin films on various 128
substrates by various methods
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5.1.2 Piezoelectric MEMS structures and operation modes 130
5.2 Deposition of PZT thin film on Pt and oxidized Si wafers 131
5.3 Characterization of PZT films on Pt and oxidized Si Substrates 132
5.3.1 PZT on Pt/TiO2/SiO2/Si 132
5.5.1.1 XRD analysis 132
5.3.1.2 SEM Study 134
5.3.1.3 P — E Loop 135
5.3.1.4 Estimation of residual stress generated 136
during deposition of PZT on Pt/ SiO2/ Si from
wafer curvature
5.3.2 PZT on Si02/Si 137
5.3.2.1 XRD Study 137
5.3.2.2 SEM Study 139
5.3.2.3 P — E Loop 140
5.3.2.3 Estimation of residual stress generated 142
during deposition of PZT on SiO2/Si from
wafer curvature
5.4 Fabrication of PZT Cantilever Structure 143
5.7 Conclusions 148
Chapter 6: Design and Simulation of wet etching based comb type microaccelerometer
structure
6.1 Introduction 149
6.1.1 Micromachining in Si (110) wafer 153
6.2 Accelerometer Model 154
6.3 Modelling of the comb type capacitive accelerometer structure 156
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6.4 FEM Analysis of the comb-type microaccelerometer structure 163
6.4.1 Modal Analysis 163
6.4.2 Stress Analysis 164
6.4.3 Static Analysis 165
6.4.4 Dynamic Analysis 166
6.5 Critical Dimensional Analysis of Comb-type Structure 167
6.6 Conclusion 169
Chapter 7: Fabrication of Wet Etching Based Comb Type Capacitive
Microaccelerometer Structure
7.1 Introduction 170
7.2 Optimization of anisotropic wet etching of Si (110) 171
7.1.1 Results and Discussions 173
7.2.1.1 Etching rate 173
7.2.1.2. Surface roughness 174
7.2.1.3 Activation energy 178
7.3 Fabrication of wet etching based comb-type accelerometer structure 181
7.3.1 Fabrication process of the comb-type structure 181
7.3.2 Fabrication Challenges and Results 190
7.4 Conclusion 198
Chapter 8: Conclusions and Future scope of work
8.1 Conclusions 200
8.2 Future scope of work 201
References 203
Brief Bio-data of the author 211
List of publications 212
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