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MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials by Yong Zhang A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy Graduate Department of Electrical and Computer Engineering University of Toronto Copyright © 2011 by Yong Zhang

MEMS R -B M C M and Nanomaterials · MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials Yong Zhang Doctor of Philosophy Graduate Department of Electrical

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Page 1: MEMS R -B M C M and Nanomaterials · MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials Yong Zhang Doctor of Philosophy Graduate Department of Electrical

MEMS and Robotics-BasedManipulation and Characterization ofMicroand Nanomaterials

by

Yong Zhang

A thesis submitted in conformity with the requirementsfor the degree of Doctor of Philosophy

Graduate Department of Electrical and Computer EngineeringUniversity of Toronto

Copyright© 2011 by Yong Zhang

Page 2: MEMS R -B M C M and Nanomaterials · MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials Yong Zhang Doctor of Philosophy Graduate Department of Electrical

Abstract

MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials

Yong Zhang

Doctor of Philosophy

Graduate Department of Electrical and Computer Engineering

University of Toronto

2011

Advances in the synthesis of micrometer and nanometer-sized materials have resulted in a

range of novel materials having unique properties. Characterizing those materials is important

for understanding their properties and exploring their applications. Physically manipulating

those materials is important for constructing devices. This thesis develops tools and techniques

for the manipulation and characterization of micro and nanomaterials.

A microelectromechanical systems (MEMS) microgripper is developed to pick and place

micro-objects, achieving high repeatability, accuracy, and speed. The adhesion forces at the

microscale are overcome by actively releasing the adhered micro-object from the microgripper.

A microrobotic system is built based on this microgripper and realizes automated pick-and-

place of microspheres to form patterns.

To characterize the electrical properties of one-dimensional nanomaterials, a nanorobotic

system is developed to control four nanomanipulators for automated four-point probe measure-

ment of individual nanowires inside a scanning electron microscope (SEM). SEM is used as a

vision sensor to realize visual servo control and contact detection.

To characterize the electromechanical properties of individual nanowires, a MEMS device

is designed and fabricated that is capable of simultaneous tensile testing and current–voltage

measurement of a nanowire specimen. A nanomanipulation procedure is developed to transfer

a single nanowire from its growth substrate to the MEMS device in SEM. The piezoresistive

properties of silicon nanowires are characterized.

ii

Page 3: MEMS R -B M C M and Nanomaterials · MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials Yong Zhang Doctor of Philosophy Graduate Department of Electrical

A nanomanipulation system is developed that is capable of being mounted onto and de-

mounted from the SEM specimen stage without opening the high-vacuum chamber. The sys-

tem architecture allows the nanomanipulators to be transferred through the SEM load-lock.

This advance facilitates the replacement of end-effectors and circumvents chamber contamina-

tion due to venting.

iii

Page 4: MEMS R -B M C M and Nanomaterials · MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials Yong Zhang Doctor of Philosophy Graduate Department of Electrical

Acknowledgements

I would like to express my gratitude to my adviser, Prof. Yu Sun, for providing guidance, ad-

vice, and support throughout my Ph.D. studies. His broad knowledge and considerable insight

were instrumental in my research. His striving for excellence has been an inspiration to me.

I thank Prof. Xueliang Sun and his student Yu Zhong, and Prof.Junqiao Wu and his stu-

dent Kevin Wang for the valuable collaboration opportunities in nanomaterial characterization.

I thank Prof. Wai Tung Ng, Prof. Bruce Francis, Prof. Axel Guenther, Prof. Gary Fedder,

Prof. Jean Zu, and Prof. Foued Ben Amara for serving on my Ph.D. exam and defense com-

mittees and commenting on my project.

Hitachi High-Technologies Canada Inc. partially funded myproject. Its staff members,

Dr. David Hoyle, Dr. Patrick Woo, Mitsuhiro Nakamura, and Ian Cotton provided technical

support and constructive suggestions. The managers and technicians with the cleanrooms of the

Emerging Communications Technology Institute and the ThinFilm Physics and Technology

Research Center provided considerate assistance during mymicrofabrication.

I am also grateful for the support and friendship of all my former and current colleagues

with the Advanced Micro and Nanosystems Laboratory, including Prof. Xinyu Liu, Prof. Chang-

hai Ru, Prof. Wenhui Wang, Prof. Jianhua Tong, Dr. KeekyoungKim, Dr. Yanliang Zhang,

Dr. Zhe Lu, Jian Chen, Brandon Chen, Jason Li, and many others.

I thank my parents for their love and support.

iv

Page 5: MEMS R -B M C M and Nanomaterials · MEMS and Robotics-Based Manipulation and Characterization of Micro and Nanomaterials Yong Zhang Doctor of Philosophy Graduate Department of Electrical

Contents

1 Introduction 1

1.1 Background and Motivations . . . . . . . . . . . . . . . . . . . . . . . .. . . 1

1.2 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

1.3 Dissertation Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 4

2 Pick-and-Place of Micro-Objects Using a MEMS Microgripper 5

2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5

2.2 Three-Pronged Microgripper . . . . . . . . . . . . . . . . . . . . . . .. . . . 8

2.3 Force Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

2.4 Experimental Results and Discussion . . . . . . . . . . . . . . . .. . . . . . 15

2.4.1 Repeatability of Active Release . . . . . . . . . . . . . . . . . .. . . 16

2.4.2 Quantification of Release Performance . . . . . . . . . . . . .. . . . 17

2.4.3 Understanding the Curved Trajectory . . . . . . . . . . . . . .. . . . 20

2.5 Microrobotic Pick-and-Place of Microspheres . . . . . . . .. . . . . . . . . . 22

2.5.1 Recognition of Microgripper and Microspheres . . . . . .. . . . . . . 22

2.5.2 Contact Detection and Microrobotic Control . . . . . . . .. . . . . . 23

2.5.3 Automated Pick-and-Place of Microspheres . . . . . . . . .. . . . . . 26

2.5.4 Three-Dimensional Assembly of Microspheres . . . . . . .. . . . . . 27

2.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

v

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3 Automated Four-Point Probe Measurement of Nanowires in SEM 29

3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29

3.2 Automated Nanomanipulation inside SEM . . . . . . . . . . . . . .. . . . . . 31

3.2.1 Nanomanipulation System . . . . . . . . . . . . . . . . . . . . . . . .31

3.2.2 Recognition of Probes and Nanowires . . . . . . . . . . . . . . .. . . 33

3.2.3 Feature Tracking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

3.2.4 Vision-Based Contact Detection . . . . . . . . . . . . . . . . . .. . . 34

3.2.5 Look-then-Move Control and Visual Servo Control . . . .. . . . . . . 35

3.2.6 Overall Process of Automated Nanomanipulation . . . . .. . . . . . . 37

3.3 Experimental Results and Discussions . . . . . . . . . . . . . . .. . . . . . . 38

3.3.1 Manual Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

3.3.2 Evaluation of Drift and Noise in SEM Imaging . . . . . . . . .. . . . 39

3.3.3 Contact Detection Results . . . . . . . . . . . . . . . . . . . . . . .. 41

3.3.4 Performance of Vision-Based Control System . . . . . . . .. . . . . . 42

3.3.5 Four-Point Probe Measurement Results . . . . . . . . . . . . .. . . . 43

3.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

4 Piezoresistivity Characterization of Nanowires using a MEMS Device 46

4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .46

4.2 Device Design and Analysis . . . . . . . . . . . . . . . . . . . . . . . . .. . 48

4.2.1 Device Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

4.2.2 Mechanical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

4.2.3 Electrical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . .52

4.3 Device Fabrication and Calibration . . . . . . . . . . . . . . . . .. . . . . . . 53

4.3.1 Microfabrication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

4.3.2 Sensor Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

4.4 Experimental Results and Discussions . . . . . . . . . . . . . . .. . . . . . . 56

4.4.1 Synthesis of Silicon Nanowires . . . . . . . . . . . . . . . . . . .. . 56

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4.4.2 Transfer of Nanowire onto MEMS Device . . . . . . . . . . . . . .. . 57

4.4.3 Nanowire Characterization . . . . . . . . . . . . . . . . . . . . . .. . 59

4.4.4 Effect of E-Beam Irradiation . . . . . . . . . . . . . . . . . . . . . . . 61

4.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

5 A load-lock-compatible nanomanipulation system for SEM 64

5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .64

5.2 System Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

5.3 System Characterization . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 69

5.3.1 SEM Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

5.3.2 Actuator Characterization . . . . . . . . . . . . . . . . . . . . . .. . 70

5.3.3 Encoder Characterization . . . . . . . . . . . . . . . . . . . . . . .. . 73

5.3.4 Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74

5.4 Results and Discussions . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 77

5.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

6 Conclusions 82

6.1 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83

6.2 Future Directions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 83

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List of Tables

2.1 Structural Parameters of the Microgrippers . . . . . . . . . .. . . . . . . . . . 10

2.2 Summary of Release Accuracy . . . . . . . . . . . . . . . . . . . . . . . .. . 20

3.1 Quantification of SEM Image Drift and Noise . . . . . . . . . . . .. . . . . . 40

5.1 Resolution of the Optical Encoders . . . . . . . . . . . . . . . . . .. . . . . . 74

5.2 Summary of System Performance. . . . . . . . . . . . . . . . . . . . . .. . . 78

viii

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List of Figures

1.1 Manipulation of nanomaterials for mechanical and electrical characterization. . 3

2.1 SEM image of a three-pronged microgripper. . . . . . . . . . . .. . . . . . . 7

2.2 Microgripper schematic. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 9

2.3 Microfabrication process. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 10

2.4 Characterized microactuator performance. . . . . . . . . . .. . . . . . . . . . 11

2.5 Adhesion forces acting on a microsphere on a rough surface. . . . . . . . . . . 12

2.6 Analysis of forces during grasping and active release. .. . . . . . . . . . . . . 14

2.7 Experimental setup for micrograsping and active release tests. . . . . . . . . . 16

2.8 Landing positions of microspheres. . . . . . . . . . . . . . . . . .. . . . . . . 18

2.9 Landing positions of microspheres released from 2µm height. . . . . . . . . . 19

2.10 Pick-and-place to align microspheres. . . . . . . . . . . . . .. . . . . . . . . 21

2.11 High-speed videography quantifying microsphere trajectories. . . . . . . . . . 22

2.12 Microsphere reveals a curved trajectory during activerelease. . . . . . . . . . . 23

2.13 Gripper recognition. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . 24

2.14 Visual determination of which gripping arm the microsphere adheres to. . . . . 25

2.15 Vision-based contact detection. . . . . . . . . . . . . . . . . . .. . . . . . . . 25

2.16 Contact detection results. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . 25

2.17 “U OF T” pattern formed by automated microrobotic pick-and-place. . . . . . . 26

2.18 Pattern formation by automated pick-and-place. . . . . .. . . . . . . . . . . . 27

2.19 Microspheres assembled into two-layered structures.. . . . . . . . . . . . . . 27

ix

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3.1 Four nanomanipulators with probes installed for manipulation in SEM. . . . . . 32

3.2 Visual recognition of probes and nanowires from SEM visual feedback. . . . . 33

3.3 Principle of vision-based contact detection. . . . . . . . .. . . . . . . . . . . 35

3.4 SEM vision-based control . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 36

3.5 Characterization of a piezo actuator for look-then-move control. . . . . . . . . 37

3.6 Four probes simultaneously move to their target positions on a nanowire. . . . . 38

3.7 Manual operation often causes probe tip damage. . . . . . . .. . . . . . . . . 39

3.8 Automated contact detection and subsequentZ-positioning of a probe. . . . . . 41

3.9 Step responses of the vision-based control system. . . . .. . . . . . . . . . . . 42

3.10 Four probes landing on target positions for four-pointprobe measurement. . . . 43

3.11 Four-point probe measurement results of a nanowire. . .. . . . . . . . . . . . 44

4.1 Schematics of the MEMS device for electromechanical characterization. . . . . 49

4.2 Mechanical model of the device during mechanical characterization. . . . . . . 51

4.3 Circuit diagram of the testing setup during electrical characterization. . . . . . 52

4.4 Microfabrication process flow. . . . . . . . . . . . . . . . . . . . . .. . . . . 53

4.5 MEMS device wire-bonded to a circuit board. . . . . . . . . . . .. . . . . . . 54

4.6 Calibration results of the displacement sensor and force sensor. . . . . . . . . . 55

4.7 Nanowire transfer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . 58

4.8 Mechanical and electrical characterization results... . . . . . . . . . . . . . . 59

4.9 Effect of e-beam irradiation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

5.1 Commercial nanomanipulation systems. . . . . . . . . . . . . . .. . . . . . . 65

5.2 Load-lock-compatible nanomanipulation system. . . . . .. . . . . . . . . . . 67

5.3 Installation procedure of the nanomanipulation system. . . . . . . . . . . . . . 68

5.4 Quantification of SEM image drift and noise. . . . . . . . . . . .. . . . . . . 70

5.5 Actuator characterization results. . . . . . . . . . . . . . . . .. . . . . . . . . 71

5.6 Encoder characterization results. . . . . . . . . . . . . . . . . .. . . . . . . . 72

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5.7 Contact detection results. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 77

5.8 Control system performance. . . . . . . . . . . . . . . . . . . . . . . .. . . . 79

5.9 Nanowire probing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .80

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Chapter 1

Introduction

1.1 Background and Motivations

A variety of micro and nanomaterials have been synthesized that exhibit unique mechanical,

electrical, and photonic properties, and have been used as functional elements in device appli-

cations. For example, self-assembly of silica microspheres resulted in a photonic crystal with

a complete three-dimensional bandgap [1]. Semiconductor nanowires were used to construct

nanoelectronic circuits [2], solar cells [3], and nanosensors for the detection of biological and

chemical species [4].

Device construction usually requires the positioning of micro and nanomaterials. Taking

one-dimensional nanomaterials as an example, nanowires/nanotubes need to be positioned be-

tween source and drain electrodes for building nanotransistors and biosensors. To position

relatively large amounts of materials simultaneously, large-scale methods are used, namely,

self-assembly [1], contact printing [5], and dielectrophoresis [6]. However, these methods rep-

resent probabilistic strategies and are not capable of precision control of individual materials.

By contrast, mechanical manipulation, despite being slow in comparison with the afore-

mentioned large-scale methods, promises specificity, precision, and programmed motion, and

thus, can enable the precise manipulation of individual materials. For the manipulation of mi-

1

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Chapter 1. Introduction 2

cromaterials, a micromanipulator under an optical microscope is used. The end-effector can be

either a microprobe or a microgripper. Owing to the strong adhesion forces (capillary forces,

electrostatic forces, and van der Waals forces) at the microscale, manipulation is unreliable and

has low repeatability, motivating the development of suitable manipulation tools and strategies.

Different from micromanipulation, manipulation of nanomaterials requires higher-resolution

microscopes, typically atomic force microscopes (AFM) or scanning electron microscopes

(SEM). AFM nanomanipulation can be conducted in either vacuum, ambient, or aqueous en-

vironments. Nonetheless, since AFM uses the same cantilever for both imaging and manipula-

tion [7–9], performing truly simultaneous imaging and manipulation is a challenge. In contrast,

SEM nanomanipulation uses nanomanipulators inside an SEM and is conductedin situ with

video rate imaging.

An important application of SEM nanomanipulation is to characterize the mechanical and

electrical properties of individual nanowires/nanotubes. Figure 1.1(a) shows that two AFM

cantilevers stretch a multi-walled carbon nanotube (MWCNT) for tensile testing [10]. Individ-

ual MWCNTs are first picked up by one cantilever and then attached to the second cantilever.

In Figure 1.1(b), an AFM cantilever buckles a bundle of MWCNTs for mechanical character-

ization [11]. An InGaAs/GaAs nanospring was tensile-tested between a probe and an AFM

cantilever [12], as shown in Figure 1.1(c). Figure 1.1(d) schematically illustrates that a silicon

nanowire is stretched for the characterization of its piezoresistivity. The green-colored probe

is used to push the freestanding cantilever and stretch the suspended silicon nanowire [13].

The two red probes form electrical connections for measuring the resistance changes of the

nanowire during straining.

State-of-the-art SEM nanomanipulation is conducted via teleoperation. An operator moni-

tors the SEM screen and carefully operates a joystick to movea nanomanipulator (thus position

an end-effector) inside an SEM. The operation process is time consuming, skill dependent, and

poor in repeatability. Thus, developing nanorobotic techniques that facilitate this process and

enable automation is desired.

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Chapter 1. Introduction 3

(a) (b)

(c) (d)

Figure 1.1: Manipulation of nanomaterials for mechanical and electrical characterization. (a)

A MWCNT was tensile-tested by two AFM cantilevers [10]. (b) Abundle of MWCNTs was

buckled by an AFM cantilever [11]. (c) An InGaAs/GaAs nanospring was stretched between

a probe and an AFM cantilever [12]. (d) A silicon nanowire wasstretched for piezoresistivity

characterization [13].

In addition, the aforementioned nanomaterial characterization techniques [Figure 1.1] rely

on SEM imaging for deformation and force measurements. However, the electron-beam irra-

diation affects the electrical measurement of a nanomaterial. Therefore, it is desirable to have

a testing device that is capable of acquiring all the testingdata electronically without relying

on SEM imaging. Given that MEMS (microelectromechanical systems) actuators and force

sensors can deliver nanometer motion resolutions and nanonewton force resolutions, they can

be used for nanomaterial testing.

Since end-effectors (e.g., nanoprobes or nanogrippers) can be easily damaged during nanoma-

nipulation, they require frequent replacement. The replacement process has two drawbacks

because the high-vacuum chamber of SEM must be opened to access the nanomanipulators.

First, exposing the chamber to air incurs contamination. Second, pumping the chamber again

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Chapter 1. Introduction 4

takes a few hours. Therefore, it is desirable to have a nanomanipulation system that does not

require the opening of the high-vacuum chamber for end-effector exchange. Since SEM speci-

mens are transferred through the SEM load-lock, using the load-lock also for nanomanipulator

transfer is a solution.

1.2 Objectives

The objectives of this thesis are:

• To develop a MEMS microgripper to pick and place micro-objects with high repeatabil-

ity, accuracy, and speed, and build a microrobotic system for automated pick-and-place.

• To develop nanorobotic techniques and a MEMS device to characterize the electrical,

mechanical, and electromechanical properties of nanomaterials in SEM.

• To develop a nanomanipulation system that is capable of being transferred through the

load-lock of SEM without opening the high-vacuum chamber.

1.3 Dissertation Outline

An overview of the ensuing chapters is as follows. Chapter 2 presents a MEMS microgrip-

per that is capable of overcoming adhesion forces to releaseadhered micro-objects, and the

demonstration of automated pick-and-place. Chapter 3 presents a nanorobotic system in SEM

for automated four-point probe measurement of nanowires. Chapter 4 presents a MEMS de-

vice for the characterization of piezoresistive properties of nanowires. Chapter 5 presents a

load-lock-compatible nanomanipulation system for use in SEM and the system characteriza-

tion results. Chapter 6 concludes with a summary and contributions of this thesis, and possible

future research directions.

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Chapter 2

Pick-and-Place of Micro-Objects Using a

MEMS Microgripper

2.1 Introduction

Physical pick-and-place of micro-objects promises specificity, precision, and programmed mo-

tion, features making micromanipulation amenable to automation for the construction of mi-

crosystems [14–17]. For instance, micromanipulation has been used to build a diamond-shaped

structure by assembling microspheres into a lattice [14]. Based on a combination of microfab-

rication and micromanipulation [16], novel photonic crystals were also demonstrated.

Analogous to manipulation in the macroworld, manipulatingmicrometer-sized objects ne-

cessitates gripping devices with end structures comparable in size to objects to be manipulated.

Enabled by MEMS technologies, many microgripping devices have been reported, including

two-fingered devices [18–28] and multi-fingered devices [29–35].

Despite the availability of MEMS gripping tools and the significant progress made in au-

tomation techniques for eventually autonomous operation,micromanipulation is still largely

skill dependent and entails repeated trial-and-error efforts. Among the challenges, a long-

standing difficulty is the release of micro-objects from the end effector due to strong adhesion

5

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 6

forces at the microscale. Force scaling causes surface forces (i.e., adhesion forces) including

the capillary force, electrostatic force, and van der Waalsforce to dominate volumetric forces

(e.g., gravity) [36]. In pursuit of rapid, accurate releasemethods, several strategies have been

proposed in the past decade.

These release techniques can be classified into two categories, passive release and active

release. Passive release techniques depend on the adhesionforces between the micro-object and

the substrate to detach the micro-object from the end effector. In consideration of adhesional

and rolling-resistance factors [37, 38], microspheres were rolled on an Au-coated substrate

for both pick and release, causing the fracture of the microsphere–substrate interface and the

microsphere–tool interface, respectively. Similarly, itwas also demonstrated that substrates

with a ultraviolet cure adhesive [39] or a gel film [40] were used to facilitate release. Another

passive release technique uses the edge of the substrate to scrape the adhered object off the

tool [41]. A commonality of passive release techniques is the dependency on surface properties

of substrates, time-consuming, and poor repeatability.

By contrast, active release methods intend to detach the micro-object from the end effector

without touching the substrate. By applying a voltage between the probe and the substrate

[42–45], an electric field was created to detach the object from the probe. Nevertheless, this

method requires the micro-object, the probe, and the substrate all to be conductive. More

importantly, the released micro-objects landed at random locations on the substrate, resulting

in a poor release accuracy.

The second type of active release makes use of mechanical vibration [46, 47]. Requiring

a large bandwidth of the manipulator, the vibration-based method takes advantage of inertial

effects of both the end effector and the micro-object to overcome adhesion forces. Therelease

process has been modeled and simulated to predict the landing radius of the released object

[48]; however, the accuracy has not been experimentally quantified. The third type of active

release employs vacuum-based tools [49] to create a pressure difference for pick and release.

However, miniaturization and accurate control of vacuum-based tools can be difficult, and its

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 7

Figure 2.1: SEM image of a three-pronged microgripper capable of both grasping and active

release.

use in a vacuum environment can be limited. Finally, micro peltier coolers were used to form

ice droplets instantaneously for pick-and-place of micro-objects [50–52]. Thawing of the ice

droplets was used to release objects. The freezing-heatingapproach requires a bulky, complex

end effector and is limited to micromanipulation in an aqueous environment.

In summary, no techniques exist for easy, rapid, accurate, and highly repeatable release of

micro-objects in micromanipulation. This chapter presents an active release strategy using a

MEMS microgripper that integrates a plunging structure between two gripping arms, as shown

in Figure 2.1. While this method retains the advantage of double-ended tools for picking up

micro-objects, the plunger is capable of thrusting a micro-object adhered to a gripping arm to

a desired destination on a substrate, enabling highly repeatable release with a high accuracy of

0.45±0.24µm.

This chapter also presents the theoretical analyses of the micromanipulation process in

order to understand the microphysics behind this active release technique. All the results in this

chapter were obtained under an optical microscope with 7.5–10.9µm borosilicate microspheres

on glass and steel substrates in an ambient environment. No surface treatments were conducted

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 8

to the microspheres, microgripper, or substrates.

Enabled by the grasping and release capabilities, a microrobotic system is built that achieved

fully automated pick-and-place of microspheres at a speed of 10 spheres/min. This speed is

an order of magnitude higher than the highest speed reportedin the literature [53]. Image pro-

cessing is used to recognize features such as the gripping arms and microspheres. The system

detects the contact between the microgripper and the substrate purely through visual feed-

back without using additional force/touch sensors. Automated pick-and-place was performed

through vision-based control.

2.2 Three-Pronged Microgripper

Figure 2.2 shows a schematic of the microgripper. The monolithic device integrates three elec-

trostatic microactuators for driving two normally open gripping arms as well as a plunger for

active release. In this design, electrostatic actuation was chosen over electrothermal actuation

because temperature rise of the gripping arms can influence adhesion forces [54] and reduce the

consistency of device performance. Furthermore, electrostatic actuation was also chosen for

driving the plunger because it exhibits a much higher bandwidth than electrothermal actuators

and is able to deliver a much faster speed, representing an important advantage for thrusting

off an adhered micro-object.

This design is different from existing microgrippers that have either only oneactively actu-

ated gripping arm [20–22] or two interdependently active gripping arms [18]. Since to which

gripping arm a micro-object adheres is random, both gripping arms in our design have an inde-

pendent actuator for positioning the adhered object to properly align to the plunger for release.

Structural parameters of the microgrippers are shown in Table 2.1. The thickness of the grip-

ping arms and actuators is 25µm, the thickness of the device layer. The initial opening between

the gripping arms is 17µm, intended to accommodate microspheres of around 10µm in diam-

eter. The widths of the gripping arm tips (6µm) and plunger tip (8µm) are slightly smaller

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 9

comb drives

plunger

left gripping arm right gripping arm

3.0 mm

4.5 mm

flexure

Figure 2.2: Microgripper schematic.

than the microsphere to be grasped so that the microgripper does not contact microspheres in

proximity. The number of combs for each gripping arm is 280 toensure the gripping arms can

be fully closed at an actuator voltage of 60 V, according to the electrostatic force calculation

results. The number of combs for the plunger is 540 to ensure the plunger tip can pass the

gripping arm tips at an actuator voltage of 60 V.

The devices were microfabricated using a modified DRIE on SOIprocess [21] with a 25

µm thick device silicon layer, as illustrated in Figure 4.4. Two-step DRIE etching of the handle

layer creates a step difference between the central suspended structure and the device frame,

which greatly reduces the risk of device breakage during device operation and handling. Figure

2.4 shows the experimentally characterized device performance as well as fitted lines.

The device also permits experimentally estimating adhesion forces between the gripping

arms and a grasped microsphere. After the microsphere is gently but securely grasped, the

actuation voltages for the gripping arms are released in a continuous and synchronous manner

until the voltage,V2 at which the gripping arms are opened is obtained. The adhesion forces

can then be estimated as

F =12

Nǫtb

(

V21 − V2

2

)

, (2.1)

whereǫ is the permittivity of air,N is the number of comb finger pairs,t is the comb fin-

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 10

Table 2.1: Structural Parameters of the Microgrippers

parameter value

device Si layer thickness (t) 25µm

width of gripping arm tips 6 µm

width of plunger tip 8 µm

initial opening of gripping arms 17µm

gap between opposing comb fingers (b) 4 µm

finger pair number of each gripping arm 280

finger pair number of plunger 540

width of all flexible beams 5 µm

length of flexible beams of gripping arms 580µm

number of flexible beams of each gripping arm2

length of flexible beams of plunger 630µm

number of flexible beams of plunger 4

Figure 2.3: Microfabrication process.

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 11

0 1000 2000 3000 4000 5000voltage squared (V2)

0

4

8

dis

pla

cem

ent

(µm

)

gripping arms

plunger

Figure 2.4: Characterized microactuator performance.

ger thickness,b is the gap between opposing comb fingers, andV1 is the voltage applied to

both gripping arms for creating a gap of the size of the micro-object. Note that when the ini-

tial grasping force applied to the micro-object is increased, the actuation voltageV2 required

for opening the gripping arms becomes smaller, resulting ina larger estimate of the adhesion

forces. Despite the initial grasping force variations as well as microfabrication induced imper-

fections, the adhesion forces obtained through this actuation force estimation proved useful for

understanding purposes.

2.3 Force Analysis

Adhesion forces in an ambient environment include three types of attractive forces, namely,

the van der Waals force, the electrostatic force, and the capillary force, all of which depend on

the separation distance,δ, between a microsphere and a flat surface it adheres to. Figure 2.5

shows a microsphere adhered to a flat surface with surface roughness exaggerated.

Van der Waals forces are caused by the instantaneous polarization of atoms and molecules

due to quantum mechanical effects. The van der Waals force between a microsphere and a flat

surface is [55]

Fvdw =

(

δ

δ + r/2

)2 (

Hd16πδ2

+Hρ2

8πδ3

)

, (2.2)

wherer is the roughness of the flat surface,H is the Lifshitz-van der Waals constant which

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 12

θrK

liquid meniscusrough surface

normal force

adhesion forces

δ

Figure 2.5: Adhesion forces acting on a microsphere on a rough surface.

ranges from 0.6 eV for polymers to 9.0 eV for metals,d is the microsphere diameter, andρ is

the radius of the adhesion surface area.

To estimate the van der Waals force between a 10µm borosilicate microsphere and the

sidewall of a gripping arm,δ is assumed to be 0.35 nm [54],ρ is assumed to be 0.65% of the

radius of the microsphere [54],H is assumed to be 7.5 eV [54], andr is assumed to be 100 nm.

Thus, the van der Waals force is calculated to be 1.51×10−4 µN.

The electrostatic force for microspheres smaller than 100µm is predominantly the electro-

static double layer force, which is [56]

Felec=πǫdU2

2δ, (2.3)

whereǫ is the permittivity of air, andU is the voltage difference between the microsphere and

the flat surface. WhenU is assumed to be 0.40 V [54], the electrostatic force betweena 10µm

microsphere and the sidewall of a gripping arm is calculatedto be 6.36×10−2 µN.

The third type of attractive force is the capillary force, which is composed of the capillary

pressure force and surface tension force [57, 58]. The capillary pressure force dominates the

surface tension force for microspheres larger than 1µm [57]. For the microsphere-plane model,

the capillary force is [59,60],

Fcap=2πdγ cosθ

1+ δ/(2rK cosθ − δ), (2.4)

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 13

whereγ is the liquid surface tension, which is 0.073 Nm−1 for water at 22°C,θ is the contact

angle of the meniscus with the microsphere, andrK is the Kelvin radius, which is defined as

the mean radius of the curvature of the liquid-vapor interface.

For estimating the capillary force exerted on a 10µm microsphere by a water meniscus at

room temperature,θ is assumed to be 10, δ is still assumed to be 0.35 nm as for the calculation

of the van der Waals force, andrK is assumed to be 1 nm. The capillary force is calculated to

be 3.71µN.

For comparison purposes, the gravity of the 10µm microsphere is calculated to be 1.31×10−5

µN, using the density of borosilicate glass, 2.55 g/cm3. In summary, the pecking order is

Fcap≫ Felec≫ Fvdw ≫ Fgrav . (2.5)

It can be seen that the van der Waals force is the smallest among the three attractive forces.

The van der Waals force heavily depends on the roughness of the surface. Since devices were

formed through deep reactive ion etching, which produces scallop structures on the sidewalls

of the gripping arms, the rough surface makes the van der Waals force negligible. The electro-

static force depends on voltage differences, which are difficult to accurately estimate when the

microsphere is nonconductive. Unlike the van der Waals force and electrostatic force, neither

of which requires physical contact, the capillary force in the air results from a phenomenon

called capillary condensation [56]. Liquid from the vapor phase condenses between sufficient-

ly close asperities and forms menisci that cause the capillary force. Thus, there exists a working

range, beyond which the capillary force as well as the liquidmenisci disappear.

Schematic diagrams in Figure 2.6 illustrate forces exertedon a microsphere by the gripping

arms and/or the substrate during grasping and release. Figure 2.6(a)-(c) are drawn from the

side view, and Figure 2.6(d)-(f) are from the top view. Figure 2.6(a) shows the microgripper

approaches the microsphere and uses the gripping arm to laterally push it in order to break the

adhesion bond between the microsphere and the substrate.Fs is the adhesion forces, andNs is

the normal force from the substrate.Nr is the lateral pushing force applied by the right gripping

arm, andFr is the adhesion forces from the gripping arm in the normal direction. Upon the

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 14

Nr

fs

Fr

Ns

Fs

(a)

Msfr NrFl Nl Fr

Ns

Fs

(b)

NrFl Nl Fr

Ns

Fs

(c)

frfl

NrFl Nl Fr

(d)

Nr Fr

(e)

Nr Fr

Np

fr

Fp

Mr

(f)

Figure 2.6: Analysis of forces during grasping and active release.

application ofNr, the stress distribution in the contact area between the microsphere and the

substrate becomes nonuniform, which creates a rolling resistance moment,Ms [61,62]. Besides

the adhesion forcesFs and Fr that are normal to the flat surfaces,fs and fr are additional

capillary forces from the substrate and the gripping arm, respectively.fs ( fr) resists the relative

motion between the microsphere and the substrate (grippingarm), through the menisci. In this

situation, the total capillary forces from the substrate and gripping arm are not perpendicular

to the flat surfaces.

After the microsphere is moved laterally from its original position, the two gripping arms

close and grasp it, as shown in Figure 2.6(b). The normal force and adhesion forces,Nl andFl,

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 15

are from the left gripping arm. Similarly,Nr andFr, are from the right gripping arm. Besides

Fl and Fr, there can also be additional capillary forces parallel to the substrate surface and

gripping arm surface, although they are not shown in the diagram for clarity.

The microgripper is then raised, as shown in Figure 2.6(c) tolift up the microsphere. The

additional capillary forces from the gripping arms,fl and fr, overcome the adhesion forces

from the substrate,Fs, which decreases gradually as a function of the distance between the

microsphere and the substrate.

When the microsphere is up in the air (Figure 2.6(d)), the adhesion forces from the sub-

strate become negligible. Upon reaching a desired destination, the gripping arms are opened,

during which all of the adhesion forces and normal forces from the gripping arms decrease.

Consequently, the microsphere separates from one grippingarm and keeps adhering to the

other gripping arm by adhesion forces, as shown in Figure 2.6(e).

For release, the gripping arm with the adhered microsphere is properly positioned relative to

the plunger, as shown in Figure 2.6(f). The plunger is then controlled to move forward to thrust

out and collide with the microsphere. The microsphere eventually escapes from the adhesion

forces from the gripping arm by its own inertia and lands on the substrate. In Figure 2.6(f),Np

is the pushing force applied by the plunger,Fp is the adhesion forces from the plunger, andMr

and fr are respectively the rolling resistance moment and additional capillary force from the

gripping arm.

2.4 Experimental Results and Discussion

The experimental setup (Figure 2.7) consists of an optical microscope (Motic PSM-1000) with

a CMOS camera (Basler A601f). A custom-made circuit board with a wire bonded microgrip-

per was mounted on a 3-DOF micromanipulator (Sutter MP285) at a tilting angle of 25.

Borosilicate glass microspheres (diameters: 7.5–10.9µm) were manipulated at room tem-

perature of 22°C with relative humidity of 50±5%. A droplet of microspheres in isopropanol

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 16

Figure 2.7: Experimental setup for micrograsping and active release tests. Inset shows a wire

bonded microgripper.

was micropipetted onto the substrate and let dry in air. The surface tension of isopropanol

(0.021 N/m at room temperature) is smaller than that of water. However, due to the volatility

of isopropanol and because the microspheres were let dry in air for a prolonged period, water

was assumed to constitute most of the liquid menisci betweenthe microspheres and the sub-

strate. Therefore, the surface tension of water was used in (2.4) in Section 2.3 for estimating

the capillary force.

Two types of substrates, wipe cleaned with isopropanol and let dry in air, were used in

the experiments, including an electrically conductive substrate (steel) and a non-conductive

substrate (glass). These two substrates were expected to exert different electrostatic forces and

van der Waals forces on the microsphere while it is travelingin air during release, which might

affect the release accuracy.

2.4.1 Repeatability of Active Release

After the gripping arms opened, the microsphere randomly adhered to a gripping arm in all

cases. The overall adhesion forces between the gripping arms and microsphere were estimated

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 17

to be 3.6µN to 5.8µN through measuring actuation voltages required to open thegripping

arms after a gentle yet secured grasping of a microsphere, asdescribed in (2.1) in Section 2.3.

For successful release, the microsphere must gain a sufficient amount of momentum from

the collision with the plunger in order to overcome the adhesion forces. The speed of the

plunger can be varied by controlling the rising profile of theactuation voltage. When a sharp

increase in actuation voltage was applied to the plunger (e.g., from 0 V to 50 V within 0.1 s),

release of the microsphere was guaranteed (i.e., 100% success rate,n=700). A high plung-

ing speed alleviates careful sample preparation requirements (e.g., baking) or environmental

control requirements (e.g., humidity). Quantification using high-speed videography (13,000

frames/sec) revealed that a plunging speed of 65.24mm/sec produced a microsphere speed of

105.01 mm/sec with a momentum of 1.40×10−13 kg·m/s. This plunging speed guaranteed the

successful release for all trials. High-speed videographyalso demonstrated that a micro sphere

was separated from the plunger upon impact.

2.4.2 Quantification of Release Performance

To quantitatively characterize the release performance, single microspheres were repeatedly

picked and released from different heights (2–30µm) above the substrate. Figure 2.8(a) shows

representative data of landing positions on a glass substrate. The results show a fairly linear and

predictable relationship between landing positions and heights from the substrate, indicating

that forces including the van der Waals forces and the electrostatic forces from both the sub-

strate and the microgripper, as well as the gravitational force, do not have a significant effect

on the high-speed microsphere that travels a short distancein air.

Figure 2.8(a) also shows that the precision of landing is inversely proportional to the height

from the substrate. When the height was over 20µm, random landing locations were observed,

which should be partly due to the more pronounced air flow effect. To investigate the influence

of substrate differences on release performance, experiments were also repeated using a steel

substrate. Compared to data in Figure 2.8(a), results shownin Figure 2.8(b) confirm that the

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 18

0 10 20 30x (µm)

20

40

60

y(µ

m)

h = 2µm

h = 5µm

h = 10µm

(a)

0 10 20 30x (µm)

20

40

60

y(µ

m)

h = 2µm

h = 5µm

h = 10µm

(b)

Figure 2.8: Landing positions of microspheres.h is the height of the gripping arms from above

the substrate. (a) Glass substrate. (b) Steel substrate.

active release approach does not have observable substratedependence.

As mentioned earlier, adherence of the microsphere to whichgripping arm is random. Fig-

ure 2.8(a)(b) show experimental data collected when the microspheres adhered to the right

gripping arm. Similar data were captured but not shown for microspheres that adhered to the

left gripping arm.

Given the above findings, the release height was set to 2µm above the substrate for quanti-

fying release accuracy. The small distance of 2µm from the substrate reduces the distance/time

the microsphere travels in air, making the landing locationless sensitive to environmental dis-

turbances. Figure 2.9 shows the recorded landing positionsof the microsphere, proving an

accuracy of 0.70±0.46µm. A summary of the characterized release accuracy is given in Table

2.2. The 0.55µm standard deviation of landing positions can be due to either (1) slight vari-

ations of initially adhered lateral and/or vertical positions of the microsphere on the gripping

arm or (2) imperfect control of the microgripper height above the substrate.

By using an automated substrate contact detection method (Section 2.5.2) to accurately

control the release height, the release accuracy was further improved to 0.45±0.24µm.

Besides a high accuracy, the active release technique enables easy, fast pick-and-place op-

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 19

−1 1

−2

2

y(µ

m)(a)

x (µm)

−1 1

−2

2

y(µ

m)(b)

x (µm)

−1 1

−2

2

y(µ

m)(c)

x (µm)

−1 1

−2

2

y(µ

m)(d)

x (µm)

Figure 2.9: Landing positions of microspheres when the gripping arms were placed 2µm above

the substrate. (a)(b) Glass substrate. (c)(d) Steel substrate. (a)(c) Microspheres adhered to the

left gripping arm. (b)(d) Microspheres adhered to the rightgripping arm.

eration in micromanipulation. Figure 2.10 shows the resultof a series of pick and release of

microspheres. While grasping was manually conducted, which is skill dependent, positioning

the microsphere properly for plunging was rapid and took less than 1 s with the use of cali-

bration results shown in Figure 2.4. The actual release takes 0.17 ms, according to high-speed

videography.

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 20

Table 2.2: Summary of Release Accuracy

glass substrate steel substrate

release accuracyrelease accuracy

microspheres adhered0.70± 0.46µm 0.67± 0.55µm

to left arm (n = 18) (n = 18)

microspheres adhered0.64± 0.46µm 0.67± 0.55µm

to right arm (n = 18) (n = 20)

2.4.3 Understanding the Curved Trajectory

Interestingly, it can be seen from Figure 2.8 that the microspheres all landed to the right/left side

of the plunger (plunger was along they axis) depending on which gripping arm they adhered

to. High-speed imaging verified that the flying path of the microsphere was indeed curved.

Images shown in Figure 2.11 were taken through high-speed videography when the gripping

arms were 20µm above the substrate before the release of the microsphere.

According to the brief force analysis in Section 2.3, the vander Waals force and elec-

trostatic force decrease with increased distances betweenthe microsphere and gripping arm.

Additionally, the capillary force vanishes beyond a certain distance. Thus, it is assumed that

the gripping arm has an adhesion force effective region around it, as indicated by dashed lines

in Figure 2.12.

During release, the plunger first impacts the microsphere along the sidewall of the gripping

arm at a high speed as shown in Figure 2.12(a), where the dotted lines represent the adhesion

force effective region. When the traveling microsphere approaches the gripping arm corner,

which was rounded by deep reactive ion etching, the adhesionforces create a radial acceleration

towards the corner, which curves its travel direction. While the microsphere is within the

adhesion force effective region, there exists resistancefr (additional capillary force) in the

tangential direction caused by menisci. Eventually, the microsphere leaves the gripping arm

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 21

20m

(b) (c)

(d) (e)

(a)

(f)

active release

Figure 2.10: Pick-and-place to align microspheres (7.5µm to 10.9µm). Note that the micro-

gripper was titled 25. (a) The microgripper approaches a microsphere, and uses one gripping

arm to laterally push it to break the initial adhesion bond between the microsphere and the

substrate. (b) Two gripping arms are closed, grasping the microsphere and lifting it up. (c)

The microsphere is transported to the target area where somemicrospheres have already been

aligned. (d) The gripping arms are opened and the gripping arm that the microsphere adheres

to positions the microsphere properly to the right positionin relation to the plunger. (e) The

plunger thrusts out the microsphere that lands accurately on the substrate. (f) Microgripper

retracts to repeat the pick-and-place process.

tip and hence the adhesion force effective region. It then travels straightly and lands on the

substrate, as depicted in Figure 2.12(b).

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 22

Figure 2.11: High-speed videography (13,000 frames/second) quantifying microsphere trajec-

tories upon release from a height of 20µm above the substrate.

2.5 Microrobotic Pick-and-Place of Microspheres

2.5.1 Recognition of Microgripper and Microspheres

The microspheres on the substrate were recognized using a Hough transform to determine their

centers and radii. Contours formed from Canny edge detection readily recognize the gripping

arms and the plunger. As shown in Figure 2.13(a), M1, M2, and M3 denote the centroids of the

two gripping arms and the plunger. By comparing they coordinates of their centroids, the left

gripping arm, right gripping arm, and plunger were distinguished.

Minimum bound rectangles (MBRs) were used to further define the positions of the two

gripping arms, as shown in Figure 2.13(a). Point D was then taken as the overall position of

the microgripper, which is the intersection of the horizontal line going through the plunger

centroid, M3, and the line connecting the left adjacent corners of the topand bottom MBRs.

To attain secured grasping, the system aligns the grasping position of the gripping arms with

respect to a microsphere, as illustrated in Figure 2.13(b) whereg is the width of the gripping

arm (denoted byk in Figure 2.13(a)).r is the radius of the microsphere. The contact position of

the gripping arm with the microsphere is on the segment AB. Inparticular, the middle position

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 23

Np

Fp

Nr

Fr

gripping arm

plunger

vv1

v2

fr

(a)

gripping armplunger

v

α

destination

(b)

Figure 2.12: Microsphere reveals a curved trajectory during active release. (a) The plunger

thrusts the microshphere that reaches the roundish corner of the gripping arm. (b) The micro-

sphere escapes from the effective range of the adhesion forces. The trajectory is drawnunder

the assumption that there are no disturbances when the microsphere is in the air.

C provides the most security for grasping when microspheresslide during grasping (Figure

2.13(b)). According to the geometry, the distance from the microgripper position D to the

optimal grasping position C isl = t sinα + g2 cosα − r cotα, which is a function of the size of

the microsphere to be grasped.

When the gripping arms open, the microsphere randomly adheres to one of the two gripping

arms. As shown in Figure 2.14, the boundary of the gripping arm to which the microsphere

adheres is connected with that of the plunger. Thus, only twocontours are detected with the

larger contour containing the microsphere. By comparing the y coordinates of the centroids

of the contours (M1 and M2 in Figure 2.14), the system determines to which gripping armthe

microsphere adheres.

2.5.2 Contact Detection and Microrobotic Control

Knowledge of relative depth positions of the gripping arms and microsphere is gained through

the detection of the contact between the gripping arms and the surface of the substrate. Ob-

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 24

r

A C BD

l

k

g

t

α

(b)

Figure 2.13: (a) Recognized gripping arms and plunger. (b) Sidewall of a gripping arm for

determining the secured grasping position, C. (c) 3D schematic showing the grasping of a

microsphere.

viating the need for additional force/touch sensors, the system employs a vision-based contact

detection algorithm [63] that provides a detection accuracy of 0.2 µm. The contact detection

process completes within 5–8 seconds.

The microgripper was controlled to move downwards at a constant speed (e.g., 20µm/sec)

to establish contact with the substrate while the algorithmran in real time. Since further low-

ering the gripping arms after the contact is established causes the gripping arms to slide on

the substrate (Figure 3.3), monitoring thex coordinates of the gripping arms result in a V-

shaped curve, as shown in Figure 2.16. The global minimum represents the initial contact of

the microgripper with the substrate.

The microrobotic system is a “looking-and-moving” system.Transformation between the

image frame (x-y) and the microrobot frame (X-Y) was achieved with calibrated pixel sizes.

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 25

Figure 2.14: Visual determination of which gripping arm themicrosphere adheres to after the

gripping arms open.

substrate

X

Z

gripping arm(upon contact)

gripping arm(sliding)

Figure 2.15: Vision-based contact detection. Gripping arms slide on the substrate after contact

is established.

38

40

42

44

46

48

x(p

ixel

)in

imag

efr

ame

0 10 20 30 40 50 60 70 80image number

contactpoint

Figure 2.16: Contact detection by monitoringx coordinate of a gripping arm in the image while

lowering the microgripper at a speed of 20µm/sec.

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 26

50 m µ

Figure 2.17: “U OF T” pattern formed by automated microrobotic pick-and-place of 7.5–10.9

µm microspheres.

With the centroid and radius of a target microsphere recognized, the microrobot moves the

microgripper to the target position via a PID controller.

2.5.3 Automated Pick-and-Place of Microspheres

To quantify the operation speed of the microrobotic system,microspheres were picked and

placed to form patterns. The system starts with the contact detection to determine the depth

position of the gripping arms relative to the substrate surface. The microgripper was then

moved upwards by 15µm above the substrate, ready for the pick-and-place operation.

Microspheres in the field of view were visually recognized. Their positions in the image

frame, sizes, and optimal grasping positions were determined. Then, by using the contact

detection result and coordinate transformation, the target X-Y-Z positions were determined by

the system. The microspheres were picked up from the source area in the order of theirx

coordinates in the image frame. According to the actuation calibration results (Figure 2.4),

the system determined actuation voltages for the gripping arms for secured grasping while

ensuring no excessively large actuation voltages were applied.

The microrobot lifted the securely grasped microsphere to 15µm above the substrate. When

a pre-planned target position was reached, the microrobot moved downwards and stopped at 2

µm above the substrate for release. The gripping arm to which the microsphere adhered was

first visually detected and then aligned the microsphere accurately in front of the plunger based

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 27

Figure 2.18: Pattern formation by automated pick-and-place. (a) Microspheres before pick-

and-place. (b) A circular pattern with circularity of 0.52µm.

Figure 2.19: Microspheres assembled into two-layered structures.

on the calibration results shown in Figure 2.4. The plunger was then actuated to release the

microsphere, after which the microgripper was raised 15µm above the substrate and return to

the source area for picking up the next microsphere. Figure 2.18 shows that microspheres were

arranged into a circular pattern with a circularity of 0.52µm, which is defined as the standard

deviation of the distances from the microspheres to the center of the circle. Figure 2.17 shows

an assembled “U OF T” pattern. The average pick-and-place speed was 10 spheres/min.

2.5.4 Three-Dimensional Assembly of Microspheres

The technique can be extended to building three-dimensional structures (e.g., Figure 2.19). The

difficulty involved in such tasks is that the microgripper tips, when positioning a microsphere

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Chapter 2. Pick-and-Place ofMicro-Objects Using aMEMS Microgripper 28

for release, may collide with other microspheres in close proximity. To overcome this difficulty,

a rotational degree of freedom is required in the system, either for the substrate and thus the

microspheres, or for the microgripper to avoid collision between the microgripper tips and

microspheres.

2.6 Conclusions

This chapter presented a new MEMS microgripper that integrates both gripping and release

mechanisms. The microgripper was applied to the grasping and active release of microspheres.

The plunger provides the microsphere with sufficient momentum to overcome adhesion forces,

resulting in highly repeatable release (100% of 700 trials)and a release accuracy of 0.45±0.24

µm. The tested borosilicate microspheres varied from 7.5µm to 10.9µm in size. Within this

size range, release accuracy was found independent of microsphere sizes. Release performance

was also found independent of electrical conductivity of substrates (steel and glass). Consider-

ing structural dimensions of the present device (e.g., thickness of gripping arms and plunger:

25 µm and initial gripping arm opening: 17µm), we speculate that the reported release accu-

racy should be consistent for microspheres ranging from a few micrometers up to 17µm. This

study revealed that the most important operating parameters are plunging speed and the height

from the substrate. The highly controllable active releasecapability represents an important

progress for reliable pick-and-place micromanipulation.

Enabled by this releasing technique, an automated robotic pick-and-place system was real-

ized using vision-based techniques for the recognition of the microgripper and microspheres,

determining the height of the microgripper above the substrate, and motion control of the mi-

cromanipulator. The system demonstrated a pick-and-placespeed of 6 spheres/min, which is

much faster than a skilled operator and an order of magnitudefaster than the highest speed

reported in the literature thus far. Three-dimensional structures were also built with micro-

spheres, demonstrating the capability of three-dimensional assembly.

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Chapter 3

Automated Four-Point Probe

Measurement of Nanowires in SEM

3.1 Introduction

Using electron microscopy as an imaging platform, nanomanipulation inside a scanning elec-

tron microscope (SEM) has been employed to maneuver and characterize the properties of

nanomaterials. For instance, carbon nanotubes, InGaAs/GaAs nanosprings, and silicon nanowires

were deformed via a nanomanipulator inside an SEM to characterize their mechanical and/or

electrical properties [10–13, 64, 65]. Through nanomanipulation, nanomaterials were also

placed on MEMS devices for tensile testing [66–70].

To date, SEM nanomanipulation has largely been performed manually by an operator using

a joystick and/or a keypad while constantly monitoring SEM images, which istime-consuming,

skill-dependent, and often breaks end-effectors. As this technology becomes increasingly

relevant for device prototyping [11, 71–75] as well as the aforementioned material testing at

the nanometer scale, progress is being made toward automated nanomanipulation in order to

achieve high reliability, efficiency, and repeatability.

Existing nanomanipulators are driven by piezoelectric actuators and usually have only three

29

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 30

translational degrees of freedom. Because of creep, drift,and hysteresis of piezoelectric actu-

ators, open-loop control cannot suffice in precision for automatic nanomanipulation tasks, ne-

cessitating feedback control. Integrating position sensors (e.g., optical encoders or capacitive

sensors) appears to be a straightforward solution and has been achieved for a few commercial

nanomanipulators manufactured by, for example, SmarAct GmbH and Attocube Systems AG.

However, the integration of high-resolution encoders increases the cost significantly; further-

more, sensor drift can be significant at the nanometer scale.Thus, visual feedback from SEM

becomes essential for closed-loop control of nanomanipulators with/without encoders.

To visually obtain theXY position of an end-effector, visual tracking of the end-effector

in a sequence of SEM images has been implemented using feature-based methods [76, 77] or

correlation-based methods [76, 78]. For example, a rigid-model-based visual tracking method

was reported, which applies domain-specific constraints and was evaluated by tracking a mi-

crogripper inside an SEM [78]. Based on SEM visual tracking,visual servo control can be

realized to control the in-plane position of the nanomanipulator, which, however, has not been

reported in the literature.

Besides position control alongXY, precise positioning along thez axis is also essential but

more challenging since it is difficult to extract depth information from SEM visual feedback.To

address this issue, a few techniques were proposed. The depth-from-focus method commonly

used under an optical microscope was extended to SEM for a coarse estimate of theZ position

of an end-effector [79]. A touch sensor based on piezoelectric ceramics [79] and a shadow-

based depth detection method [80, 81] were used for a fine estimate of theZ position. MEMS

capacitive sensors for contact detection under optical microscopes [82] can also be used inside

an SEM. However, the precisions of these methods have not been quantified.

In addition, stereoscopic SEM images can be generated by tilting the electron beam [83],

which requires the installation of specialized hardware and needs more thorough studies in

order to be used for automated nanomanipulation. Tilting the specimen stage can also be

used for SEM stereoscopy [84], but has not been evaluated fornanomanipulation purposes. In

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 31

summary, a convenient technique is needed which is capable of precisely estimatingZ positions

or detecting contact between an end-effector and a substrate.

In this chapter, automated nanomanipulation is demonstrated inside an SEM by perform-

ing a well-structured nanomanipulation task for probing the electrical properties of individual

nanowires. Four-point probe measurement of nanomaterialshas been reported using scan-

ning tunneling microscopy inside an SEM [85–87], using four-probe devices [88–91], and

using focused ion beam deposition or electron beam lithography to pattern electrodes [92,93].

Nonetheless, existing techniques require expensive equipment and lack flexibility; moreover,

they all entail tedious trial-and-error manual operation.

The nanomanipulation system controls four nanomanipulators inside an SEM to realize au-

tomated four-point probe measurement on individual nanowires lying on a substrate. Nanowires

as well as nanoprobes installed on the nanomanipulators arevisually recognized from SEM

imaging. TheXY positions of the nanoprobes are controlled via look-then-move control fol-

lowed by visual servo control. Their contact with the substrate is also detected via visual

feedback. Current–voltage (I–V) data of tin oxide nanowires are obtained after the nanoprobes

positioned on the nanowires.

3.2 Automated Nanomanipulation inside SEM

3.2.1 Nanomanipulation System

A nanomanipulation system (Zyvex S100) is integrated into an SEM (Hitachi S-4000) by

mounting its head assembly onto the specimen stage of the SEM. The head assembly, as shown

in Figure 3.1, is composed of four quadrants of 3-DOF nanomanipulators, each of which is

composed of a coarse positioning stage and a fine positioningunit. The coarse positioning

stage contains three identical piezoelectric slip-stick motors, each of which has a travel of 12

mm with 100 nm resolution. The fine positioning unit containsa piezoelectric tube having

travel ranges of 10µm along the axis of the tube and 100µm along each of the two transverse

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 32

Figure 3.1: Four nanomanipulators with probes installed for manipulation in SEM.

directions with 5 nm nominal resolution.

The nanomanipulators do not have integrated position sensors for either coarse or fine po-

sitioning, as in most commercial and academic nanomanipulation systems. In Figure 3.1, each

nanomanipulator has a tungsten probe installed as an end-effector for interacting with the spec-

imen placed at the center of the specimen stage. The probes have direct electrical connections

to an interface located outside the SEM for applying or measuring electrical signals. Prior to

loading the probes into the nanomanipulators, the probes are chemically cleaned to remove the

native tungsten oxide using KOH solutions and HF. After the cleaning procedure, the probe

tips are 150–200 nm in diameter.

SnO2 nanowires being probed in this chapter are synthesized for use as anode materials in

Li-ion batteries. The nanowires are prepared by the CVD (chemical vapor deposition) method

in a horizontal quartz tube. Sn powder is chosen as the starting material and is loaded in a

ceramic boat. The ceramic boat is placed in the center of a quartz tube mounted in an electric

furnace. A silicon wafer with a Au film of 5 nm thick is placed close to the starting powder.

An Ar flow is introduced into the furnace as the gas carrier. The furnace is heated up to 700 °C,

which is maintained for two hours. Finally, the furnace is cooled down to the room temperature

under the Ar atmosphere. The nanowires are scratch-removedand placed on a SiO2-covered

silicon substrate. Consequently, the nanowires lie directly on the substrate surface, which

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 33

Figure 3.2: Visual recognition of probes and nanowires fromSEM visual feedback. (a) Four

probes and nanowires. (b) Probes and nanowires are recognized from image processing.

constitutes a well-structured manipulation condition andmakes automated probing possible.

3.2.2 Recognition of Probes and Nanowires

When the four probes and one or multiple nanowires are in the field of view [Figure 3.2(a)],

they are visually recognized and identified [Figure 3.2(b)]. The contours of the objects in the

image are recognized through a sequence of low-pass Gaussian filtering, adaptive threshold-

ing, and morphological operations. The probes and nanowires are distinguished by comparing

areas surrounded by the contours, since nanowires have smaller areas. The four probes are dis-

tinguished from each other by comparing the positions of thecentroids of their contours, and

the positions of their tips are determined as either the highest or lowest point of a probe’s con-

tour. The target positions on the nanowire for probing are determined relative to the positions

of the rightmost and leftmost points of the nanowire’s contour, according to desired separations

between the probe tips during measurements.

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 34

3.2.3 Feature Tracking

Visual tracking provides motion/position information of the probes in the image frame as posi-

tion feedback for vision-based contact detection and visual servo control. The sum-of-squared-

differences (SSD) algorithm is employed to track the tip of a probe. The system first conducts

visual recognition in a frame of imageI1 to obtain the coordinate (x1, y1) of the probe tip. A

rectangular patch of the image containing the probe tip is recorded as a template. In subsequent

frames, the SSD measure is calculated for each possible displacement (∆x,∆y) within a search

window. Specifically, in thekth frame,

SSD(∆x,∆y) =∑

i, j∈N

[Ik(xk−1 + ∆x + i, yk−1 + ∆y + j) − Ik−1(xk−1 + i, yk−1 + j)]2 , (3.1)

where (xk−1, yk−1) is the coordinate of the probe tip in the (k − 1)th frame of imageIk−1. The

displacement (∆x,∆y) producing the minimum SSD value is considered to be the displacement

of the probe. The system simultaneously tracks all the four probes using the SSD algorithm.

To achieve a subpixel tracking resolution, eight neighboring pixels as well as the select-

ed pixel are used to fit a curved surface in terms of their SSD values. The pixel coordinate

corresponding to the valley of the curved surface is used to determine the displacement of the

feature [94].

3.2.4 Vision-Based Contact Detection

Manipulation of a nanoobject lying on a substrate requires knowledge on relative vertical po-

sitions between the end-effector and the object/substrate. When a probe is moved downwards,

the system detects the contact between the probe tip and the substrate via a vision-based con-

tact detection method, which was extended from a previous method we developed for optical

microscopy [63]. This method makes use of the phenomenon that a downward-moving probe

slides on the surface of the substrate after contact is established, as illustrated in Figure 3.3.

Inside an SEM, when a nanomanipulator moves a probe along itsz axis to approach a

substrate, the position of the probe in the image frame also moves along a certain direction, due

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 35

substrate

X

Z

probe(upon contact)

probe(sliding)

Figure 3.3: Principle of vision-based contact detection: probe slides on the substrate after

contact establishment.

to the perspective projection model of the SEM [78]. When theprobe contacts the substrate

and begins to slide, an abrupt shift in the moving direction of the probe in the image frame is

recognized as the contact point. Therefore, by monitoring the occurrence of this phenomenon,

visually tracking a downward-moving probe is capable of detecting the contact between the

probe and the substrate.

3.2.5 Look-then-Move Control and Visual Servo Control

To achieve closed-loop positioning of a nanomanipulator intheXY plane, visual tracking of the

end-effector is used to provide position feedback for a visual servocontroller. Visual feedback

from SEM has a low sampling frequency (typically<15 frames per second (fps)). This issue

was previously addressed by selectively scanning a smallerregion of interest [77, 78]. This

approach, however, requires the installation of new hardware for accessing the scan controller

of the SEM.

To quicken the system response, this thesis uses open-loop control [Figure 3.4(a)] to quickly

bring the probe to the vicinity of the target position, without the reliance on visual feedback.

Subsequently, visual servo control [Figure 3.4(b)] is usedto bring the probe precisely to the

target position. For the open-loop control, since piezo actuators have hysteresis, a mathematical

model (denoted byH) of piezo actuators is used that takes into account the effect of hysteresis.

H is a static model that relates the actuation voltage to the output displacement.

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 36

Figure 3.4: SEM vision-based control. (a) Look-then-move control. It quickly brings the probe

to the vicinity of the target position. (b) Image-based visual servo control. It brings the probe

precisely to the target position.

To use the model, the piezo actuator is characterized first, as shown in Figure 3.5. A voltage

is incrementally applied to an actuator and then incrementally released with the corresponding

displacements in the image frame recorded by the visual tracking algorithm. Figure 3.5 shows

the characterization results of one piezo actuator at a magnification of 3000×. The applied

voltage is denoted byu, with its lowest and highest values denoted byU0 andUn. The as-

cending and descending curves are denoted by functionsPn(u) andDn(u), and are respectively

fitted with a fourth-order polynomial. If the piezo actuatoris at any point on the ascending (de-

scending) curve, and the applied voltage is monotonically increasing (decreasing), the output

displacement isPn(u) (Dn(u)).

However, if the applied voltage starts to decrease (increase) when the actuator is on the

ascending (descending) curve, the actuator will stray awayfrom that curve due to hysteresis.

In that case, a mathematical model is used to calculate the output displacement. When the

applied voltage increases from point (u1,Dn(u1)) on the descending curve [Figure 3.5], the

output displacement (dashed curve in Figure 3.5) is [95]

P1(u) = k · Pn(m · (u − Un) + Un) + Dn(U1) − k · Pn(U0) , (3.2)

wherek = (Dn(Un) − Dn(u1))/(Dn(Un) − Dn(U0)) andm = (Un − u1)/(Un − U0).

When the actuator is on the descending curve and a certain displacement is desired, the

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 37

Figure 3.5: Characterization of a piezo actuator for look-then-move control.

corresponding applied voltage is calculated via the Newton-Raphson method to invertDn(u)

or the mathematical model (3.2), as the output of the inversemodelH−1 in Figure 3.4(a). A

similar mathematical model is used for the scenario where the applied voltage starts to decrease

while the actuator is on the ascending curve to calculate theoutput of the inverse model.

3.2.6 Overall Process of Automated Nanomanipulation

The four probes are first brought into the field of view under a proper magnification using the

coarse positioning stages, after which only the fine positioning units are controlled to move the

probes. The probes and nanowires are visually recognized. The longest nanowire is selected

for testing, and four target positions on the nanowire are determined. The system moves the

probes downwards to establish their contact with the substrate through vision-based contact

detection. After contact detection, the probes are positioned at a certain height (e.g., 200 nm)

above the substrate, ready for subsequent in-plane movement.

The four piezoelectric tubes are actuated in their respective x andy axes to obtain param-

eters for their mathematical models to be used in the look-then-move controllers. Through

look-then-move control followed by visual servo control, the probes are simultaneously moved

toward their target positions on the nanowire [Figure 3.6].Then the probes move downwards

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 38

Figure 3.6: Four probes simultaneously move to their targetpositions on a nanowire by vision-

based control.

to land on the nanowire for measurements. The separation distance between the inner pair of

probes can be automatically adjusted by repositioning the probes for measuring the electrical

properties of different lengths of the nanowire.

Asides from the sharp probes used in this thesis, probes withflat tips of hundreds of

nanometers in width can also be microfabricated and used forprobing nanowires. Despite

higher costs, they can provide more secure contact with nanowires. For installation, their ori-

entation should be carefully adjusted to ensure they are parallel to the substrate surface.

3.3 Experimental Results and Discussions

3.3.1 Manual Operation

For comparisons between automated nanomanipulation and manual operation, a nanomanip-

ulator was manually controlled to perform the task. An experienced operator used a joystick

and/or a program via mouse clicking to control actuation voltages for a piezoelectric tube while

monitoring the imaging screen. When approaching and contacting the substrate, the probe tip

is often bent [Figure 3.7] before the operator realizes thatthe contact has been established since

it is difficult for a human operator to promptly perceive the initial contact between the probe

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 39

Figure 3.7: Manual operation often causes probe tip damage and sometimes inadvertently

severs a nanowire.

tip and the substrate even at high magnifications due to the drift and noise in real-time SEM

imaging.

Aside from probe damage, manually controlling a probe to probe a nanowire is also time

consuming and can be destructive to the nanowire. Bringing the probe tip to a desired location

takes much time since thex andy motions must be carefully coordinated. When the probe con-

tacts and then is lifted off the nanowire, the probe sometimes inadvertently severs thenanowire,

as shown in Figure 3.7, since the contact between the probe tip and the nanowire is difficult to

accurately determine by naked eyes observing noisy SEM imaging.

3.3.2 Evaluation of Drift and Noise in SEM Imaging

Drift and noise are inherently present in SEM imaging in the fast scanning mode, both of

which affect the performance of visual tracking. SEM image noise refers to random variations

of pixel values and arises from a few sources. Image drift refers to the movement of the entire

image, such as from electron beam drift, charge drift on a specimen, and/or electromagnetic

interferences from the environment.

In order to quantify the magnitudes of image drift and noise,the subpixel visual tracking

method was used to track stationary features on a substrate.TABLE 3.1 summarizes standard

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 40

Table 3.1: Quantification of SEM Image Drift and Noise

magnification 30,000× 10,000× 5,000× 3,000× 1,500× 600×

(pixel size) (6.6 nm) (20 nm) (40 nm) (66 nm) (133 nm) (330 nm)

drift and noise x 4.46 2.97 2.20 1.23 0.77 0.65

(pixel) y 4.42 1.56 1.38 1.14 0.68 0.69

noise x 1.27 0.97 0.72 0.68 0.77 0.60

(pixel) y 0.96 0.76 0.49 0.40 0.41 0.49

deviations for different magnifications at the highest scanning rate of 13 fps. Besides showing

the combinatorial effect of image drift and noise, TABLE 3.1 also shows the effect of image

noise alone, which was obtained by simultaneously trackingtwo stationary features in the

image to remove the effect of image drift. It can be seen from TABLE 3.1 that at higher

magnifications, image drift and noise are more significant and are generally smaller along the

y direction than along thex direction.

Since the effect of image drift can be eliminated, image noise is the primary source of

errors in visual tracking and automated nanomanipulation,and therefore, of primary concern.

In TABLE 3.1, the image noise at the magnification of 3000× is approximately 0.68 pixel along

thex axis, which corresponds to 45 nm considering the pixel size of 66 nm/pixel. It can also be

observed from TABLE 3.1 that although a higher magnificationgenerally gives rise to higher

image noise in pixels, the noise level in terms of nanometersis actually reduced at increasing

magnifications. Thus, for manipulating nanoobjects smaller than 45 nm, a higher magnification

than 3,000× is necessary. Since the nanowires in this study have diameters ranging from 70 nm

to 100 nm, the 3,000× magnification was sufficient in terms of tracking resolution and hence,

automated probing requirements.

While image noise can be reduced by choosing slow scanning modes of the SEM, lower

frame rates are inadequate for automated nanomanipulationrelying on the SEM visual feed-

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 41

140

145

150

coo

rdin

ate

(pix

el)

of

pro

be

tip

0 100 200 300image number

A

B

C

D

E

F

subpixel tracking

pixel tracking

Figure 3.8: Automated contact detection and subsequentZ-positioning of a probe via pixel and

subpixel visual tracking.

back for closed-loop control.

3.3.3 Contact Detection Results

Contact detection was performed in an area of the substrate where there were no nanowires or

contaminants below the probe to ensure contact detection accuracy. The system moved a probe

downwards at a constant speed. Meanwhile, the position of the probe tip in the image frame

along its moving direction was monitored using visual tracking. As an example, Figure 3.8

shows the results of automated contact detection and subsequentZ-positioning for one of the

piezoelectric tubes via both pixel and subpixel tracking methods.

Each of the two data curves in Figure 3.8 is comprised of five characteristic segments,

representing five different stages of the process. First, in segmentAB, the pixel coordinate

of the probe tip in the image frame increases, correspondingto the stage that the probe tip

approaches the substrate prior to contact. Second, in segment BC, the pixel coordinate quickly

decreases after pointB, which represents that the probe is sliding forward on the substrate

surface after contact. At pointC, contact is determined by the system to have occurred since

the pixel coordinate has decreased by five pixels, which is the preset threshold in consideration

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 42

with look-and-move firstwithout look-and-move

Figure 3.9: Step responses of the vision-based control system for one axis of a piezo tube with

and without using look-then-move control first.

of the image noise level. Thereby at pointC the probe is stopped from descending, and the

initial contact point is determined to be pointB.

Third, in segmentCD, the pixel coordinate increases again, which corresponds to the stage

that the probe tip is sliding back as the probe is being raised. Fourth, in segmentDE, the

pixel coordinate decreases, which represents that the probe tip is ascending after having been

lifted off the substrate. Fifth, in segmentEF, the pixel coordinate remains unchanged within a

margin of 0.6 pixel, which represents that the probe is positioned at a height above the substrate.

By comparing the two curves in Figure 3.8, it can be seen that the subpixel tracking method

demonstrates a superior resolution for processing noisy SEM images.

3.3.4 Performance of Vision-Based Control System

A step signal (the desired displacement in pixels) was inputto the control system. The respons-

es of the system to a 100-pixel-step input with and without using the open-loop control first

are shown in Figure 3.9. The use of the open-loop control shortens the rise time from 3.51 s

to 0.44 s, and the settling time from 5.23 s to 0.61 s. TheXY positioning accuracy was deter-

mined to be 42 nm at 3000×magnification. The much faster response is because the open-loop

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 43

Figure 3.10: Four probes landing on target positions for four-point probe measurement.

control incorporates the mathematical model of the piezoelectric actuator and does not rely on

any feedback. Low-frame-rate SEM visual feedback is only used after the probe tip is within

the vicinity of the target position, for fine positioning.

3.3.5 Four-Point Probe Measurement Results

A source-measure instrument (Keithley System SourceMeter2602) was connected to the four

probes through its two channels (a current source and a voltmeter). After contact detection, the

probes were positioned at approximately 200 nm above the substrate, with their corresponding

xy coordinate changes (vs. thexy coordinate when a probe is in initial contact with the substrate

and when a probe is 50 nm above the substrate) in the image frame recorded.

The system then horizontally servoed the probes to their target positions on a nanowire,

taking into account the pixel coordinate changes of the probes from the height of 200 nm to

the target height of 50 nm above the substrate. A target height of 50 nm above the substrate

was chosen to ensure secured pressing on our nanowires that range from 70 nm -100 nm in

diameter. After the probes landed on the nanowire, as shown in Figure 3.10, a current sweep

was applied to the outer pair of probes (probe 1 and probe 3), and the inner pair of probes

(probe 2 and probe 4) measured the resultant voltages. To quantify the repeatability of this

technique, the entire automation process from contact detection to the finalI–V measurement

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 44

0

2

4

6

8

mea

sure

dv

olt

age

(V)

0 1 2 3 4 5 6applied current (µA)

(a)9 µm

8 µm

6 µm

4 µm

3 µm

0

0.5

1

1.5

2

resi

stan

ce(M

Ω)

0 1 2 3 4 5 6 7 8 9 10separation between inner tips (µm)

(b)

resistance data

linear regression

Figure 3.11: Four-point probe measurement results of a nanowire. (a) I–V data of a nanowire

with regard to different separations between the two inner probes. (b) Separation-resistance

relationship.

was attempted 50 times on 5 nanowires with 100% success rate.

The I–V data from a nanowire (83 nm in width) is shown in Figure 3.11 (a). The five

data curves correspond to five different separations between the two inner probes. The five

corresponding resistance values are proportional to the separations (i.e., the portions of the

nanowires between two inner probe tips), as shown in Figure 3.11 (b). Assuming the nanowire

has a circular cross section, the resistivity was determined to be 9.88×10−4 Ω · m. When a

higher current was applied, and the nanowire finally failed when the current reached 7.4µA.

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Chapter 3. Automated Four-Point ProbeMeasurement of Nanowires in SEM 45

The breakdown current density of the nanowire was calculated to be 1.36×109 A/m2.

3.4 Conclusions

This chapter demonstrated automated nanoprobing using SEMas a vision sensor. A method

for vision-based contact detection was developed to detectthe contact between a probe and a

substrate for determining relative vertical positions of the probe tip and a nanoobject to be ma-

nipulated. A visual servo control system was built for closed-loop control of multiple nanoma-

nipulators, following the open-loop control that brought the probe to the vicinity of the target

position. Four-point probe measurements were conducted onindividual tin oxide nanowires

lying on a substrate. This technique can also be useful for electrical testing of nanostructures,

such as nanodevices comprised of multiple nanoelectrodes and one-dimensional nanomaterials.

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Chapter 4

Piezoresistivity Characterization of

Nanowires using a MEMS Device

4.1 Introduction

Characterization of nanomaterials is important for understanding their properties and exploring

their applications. Among a range of properties of nanomaterials, the piezoresistive effect is of

interest because of its potential utilization in electromechanical sensors and strain engineering

for nanoelectronics applications. For instance, individual single-walled carbon nanotubes were

used as active transducer elements in a pressure sensor [96]and a displacement sensor [97].

To quantify the piezoresistivity of individual nanomaterials, a number of experimental tech-

niques have been reported. The experiments in common require simultaneous mechanical load-

ing and electrical measurement of a nanomaterial. For example, the cantilever tip of AFM was

used to laterally push a single-walled carbon nanotube suspended over a trench between two

solid electrodes [98], which results in large local deformation of the nanotube at the tube-tip

contact point. To achieve more uniform tensile stretching,carbon nanotubes were suspend-

ed between a solid terrace and a suspended beam, which was pushed downwards by an AFM

cantilever [99]. This scheme also results in large local deformation of carbon nanotubes at the

46

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 47

edges of the terrace and suspended beam, which undesirably contributes to the characterization

results.

Uniaxial or almost uniaxial tensile strains were also produced. The four-point bending

method was used to deform silicon nanowires that were epitaxially grown across a trench, pro-

ducing low level uniform strains on the order of 10−4 [100]. To produce severe strains, silicon

nanowires were grown between a silicon pad and a cantilever beam, which was pushed by a

probe along the longitudinal direction of the nanowire [13]. A single-walled carbon nanotube

was adsorbed on top of a membrane and was electromechanically characterized through bulge

testing [96]. A silicon nanowire was embedded close to the anchor of a cantilever, which was

pushed down by a stylus [101]. Individual InGaAs/GaAs nanosprings were stretched by two

nanomanipulators inside a scanning electron microscope (SEM) for piezoresistivity character-

ization [102].

Besides the aforementioned methods, MEMS actuators are capable of delivering adequate

motion resolutions and ranges for deforming nanomaterials, a number of MEMS devices were

developed for mechanical characterization of nanomaterials [66–70, 103–113]. For example,

electrostatic actuators [66, 70, 105] and electrothermal actuators [105, 111] were utilized to

stretch nanomaterial specimens. MEMS capacitive sensors were incorporated into some of the

MEMS devices [67, 70] to measure tensile forces of the specimen. The elongation measure-

ments of the nanomaterial were obtained via SEM imaging.

While most of existing MEMS devices are only capable of mechanical characterization of

nanomaterials, two of them have electrical testing capabilities [107,108]. However, the device

reported in [107] can only characterize a pair of nanowires in conjunction, rather than individ-

ual nanowires, because the two electrical terminals are both on the stationary portion of the

device. The device reported in [108] contains an electrothermal actuator, which causes temper-

ature increase in the specimen and affects nanomaterial characterization results. Additionally,

force sensing mechanisms of both devices [107, 108] are coupled with actuators, which can

introduce large errors in comparison with the use of an independent force sensor.

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 48

This chapter reports on a MEMS device and experimental techniques for the electrical

and mechanical characterization of individual one-dimensional nanomaterials. Different from

previous MEMS tensile-testing devices, this device is capable of acquiring both force and e-

longation data of a nanomaterial specimen electronically without relying on SEM imaging.

In addition, since this MEMS device is capable of performingelectrical measurements on a

nanomaterial under controllable mechanical strains, the piezoresistive property of the nano-

material is able to be characterized. The effect of electron beam (e-beam) irradiation on the

characterization results is also presented. Electrical insulation on the suspended structures was

created through a microfabrication process, enabling the electrical measurement of a nanoma-

terial. Individual silicon nanowires were integrated to the MEMS device via pick-and-place

nanomanipulation inside an SEM, and characterized for their mechanical and piezoresistive

properties.

4.2 Device Design and Analysis

4.2.1 Device Design

As schematically illustrated in Figure 4.1(a)(b), the device is composed of two suspended shut-

tles, namely, the actuator shuttle (on the left) and the force sensor shuttle (on the right), with a

small gap in between to be bridged by a nanomaterial specimen. The actuator shuttle includes

an electrostatic actuator and a capacitive displacement sensor (lateral comb-drive configura-

tion) that measures displacements of the actuator. The force sensor shuttle contains a capacitive

force sensor (transverse-comb configuration), which measures tensile forces of the specimen

as well as its own displacement. When the actuator shuttle moves leftward, the specimen is

stretched and the force sensor shuttle is also pulled leftward. Thus, the amount of specimen

elongation is the displacement of the actuator subtracted by that of the force sensor.

This electronic method of elongation measurement has advantages over electron microscopy

(EM) imaging as used in previous MEMS-based nanomaterial testing devices. First, it offers a

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 49

a b

(a) gap to be bridged by a nanomaterial

electricalinsulation cuts

displacementsensor

actuator forcesensor

calibrationsensor

A +−1 mm

(b)

mechanicalconnection

Figure 4.1: Schematics of the MEMS device for electromechanical characterization. Force and

displacement data of the nanomaterial are both acquired electronically, obviating the reliance

on electron microscopy imaging. Electrical insulation within suspended structures enables

simultaneous electrical characterization during tensiletesting. (a) Planar schematic showing

device compositions. (b) 3D model of the device.

higher sampling rate than EM imaging (EM typically has a rateof 13 frames per second in fast

scanning mode). Thus, data points during rapidly developing events (e.g., plastic deformation

and failure) can possibly be captured. Second, EM imaging can be relieved from observing the

entire nanomaterial, and hence, can be used to focus on a section of the nanomaterial with a

higher magnification (e.g., forin situ study of deformation mechanisms). Third, EM imaging

affects electromechanical characterization, owing to e-beamirradiation. We experimentally

verified the e-beam irradiation effect, which will be discussed quantitatively in Section 4.4.4.

Fourth, the specimen can be characterized outside the EM vacuum chamber, making it easier

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 50

to study the effect of environmental factors, such as gas, light, or temperature, on nanomaterial

properties.

The probe [Figure 4.1] protruding out from the device frame is for the stiffness calibration

of the force sensor. An electrostatic actuator was chosen over an electrothermal actuator to

avoid unwanted temperature increase of the specimen owing to heat conduction, which can

alter material properties. The lateral-comb configurationwas used for displacement sensing,

since the displacement sensor should have a larger linear displacement sensing range than the

force sensor. Additionally, there is an open window below the suspended structures in the area

surrounding the gap in order to achieve electron transparency, so that transmission electron

microscopy can be used to observe the nanomaterial specimen, if desired.

Figure 4.1(a)(b) also show four electrical insulation cutson the actuator shuttle and the

force sensor shuttle. These cuts electrically separate structures of different electrical functions.

Meanwhile, mechanical connection is maintained by using the insulation layer material below

the device silicon layer of the SOI wafer, as shown in Figure 4.1(b). The specific functions

of these insulation cuts are as follows. First, the insulation cut between the displacement sen-

sor and the actuator ensures that capacitance sensing is decoupled from the actuation voltage.

Second, the two electrodes at the gap are respectively insulated from the actuator and the force

sensor, in order to provide independent electrical connections to the specimen for two-point

electrical measurement. During the electrical characterization, an electric current flows in se-

ries through beam ‘b’, the specimen, and beam ‘a’ [Figure 4.1(a)]. Third, the calibration probe

is insulated from the force sensor for valid calibration.

4.2.2 Mechanical Analysis

Since a nanomaterial specimen becomes part of the mechanical system of the device during

testing, the motion ranges and stiffness values of the actuator and sensors must be compati-

ble with the mechanical properties of the specimen. Figure 4.2 shows a spring diagram for

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 51

actuator specimen force sensorka ks k f

da d f

Fa

Figure 4.2: Mechanical model of the device during mechanical characterization of a specimen.

The characteristics (motion range and stiffness) of the actuator and the two sensors must be

compatible with that of the target specimen, in order to achieve desired testing conditions.

analyzing deformation compatibility and force equilibrium.

da = ds + d f (4.1a)

ksds = k f d f (4.1b)

Fa = kada + ksds (4.1c)

whereda is the displacement of the actuator shuttle,ds is the elongation of the specimen,d f

is the displacement of the force sensor shuttle,ka, ks, andk f are the stiffness values of the

actuator shuttle, the specimen, and the force sensor shuttle, respectively, andFa is the output

force generated by the actuator.

The equations were used for parameter design of the device, in consideration of the require-

ment to produce tensile failure of the specimen. The specimen elongation at the failure point

can be estimated using

dso = wgεo (4.2)

wherewg is the gap width of the device (original specimen length), and εo is the approximate

failure strain according to the reported data in literature. d f at specimen failure is set to be

the largest displacement of the force sensor in its linear sensing range. Thenks, k f can be

selected according to (4.1b). A slightly largerk f can be chosen to ensure specimen failure.

Subsequently, (4.1a) is used to selectda at specimen failure, which is the largest displacement

required for the actuator shuttle. Finally, (4.1c) is used to determine the largestFa required, for

the actuator parameter design (e.g., number of comb pairs).

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 52

contact specimen contact

beam a beam b

source–measurementunit

Figure 4.3: Circuit diagram of the testing setup during electrical characterization of a nanoma-

terial specimen. In order to extract the intrinsic electrical characteristics of a specimen, contact

resistances as well as the resistances of the two beams are considered.

4.2.3 Electrical Analysis

Within the circuit for electrical characterization, the specimen is connected in series with beam

a and beam b (these beams are labeled in Figure 4.1(a)). Additionally, contact resistances exist

between the specimen and the two electrodes [Figure 4.3]. Thus, the measured current–voltage

(I–V) characteristics are not from the specimen alone. The contact can be either an ohmic

contact or a Schottky barrier. Since an ohmic contact can also be regarded as a Schottky barrier

with a low barrier height close to zero [114], Schottky diodes are used in Figure 4.3 to represent

contacts. It can be seen that at a given voltage, one Schottkybarrier is forward-biased, whereas

the other is reverse-biased, playing an important role in the measuredI–V data. This contact

effect must be considered and is discussed in detail in Section 4.4.3.

The resistances of beam a and beam b can be well calculated, given that beam dimensions

and the resistivity of the silicon device layer are known. They can also be experimentally

verified by fabricating and testing a device with the actuator shuttle and the force sensor shuttle

connected. Additionally, if the device layer silicon is notheavily doped, the piezoresistive

effect of beam a and beam b should also be taken into account.

It should be noted that four-point probe measurement is capable of eliminating/minimizing

the contact resistance effect [90, 115, 116], and can also be realized herein by modifying the

device design. However, such modification would require a longer specimen to span four

suspended electrodes.

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 53

(a) (b)

(c) (d)

(e) (f)

(g) (h)

device layer Si

handle layer Si SiO2

photoresist

Al electrodes combs gap

Figure 4.4: Microfabrication process flow. (a) Grow thermaloxide on the backside of the

SOI wafer. (b) Pattern thermal oxide layer by RIE. (c) DRIE-etch handle layer Si. (d) RIE-

etch thermal oxide layer. (e) DRIE-etch handle layer Si. (f)BOE-etch buried oxide layer and

thermal oxide layer. (g) E-beam-evaporate Al and lift off. (h) DRIE-etch device layer Si and

release devices.

4.3 Device Fabrication and Calibration

4.3.1 Microfabrication

A deep reactive-ion etching (DRIE) on silicon-on-insulator (SOI) process, modified from [117],

was used for device construction [Figure 4.4]. The startingSOI wafer has a 25-µ-thick silicon

device layer that was heavily doped with boron (resistivity: 1.7–1.9×10−5 Ω·m). The low-

resistivity device layer reduces the resistivity of beam a and beam b [Figure 4.1(a) and Figure

4.3] as well as their piezoresistive effect.

Briefly, thermal oxidation is used to grow 1-µm-thick oxide layers on the top and bottom

surfaces of the wafer, and then the top oxide layer is stripped with buffered oxide etch (BOE)

[Figure 4.4(a)]. The bottom thermal oxide layer is then patterned using reactive-ion etching

(RIE) [Figure 4.4(b)]. A thick layer of photoresist is patterned on the bottom side, which is

used in conjunction with the thermal oxide layer as an etch mask for the DRIE of the handle

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 54

AD7746 capacitance-to-digital converter

5 mmMEMS device

Figure 4.5: MEMS device wire-bonded to a circuit board with acapacitive readout IC for

sampling capacitance data from the displacement sensor andthe force sensor.

layer to create steps of a certain height (e.g., 100µm) [Figure 4.4(c)]. The thermal oxide not

covered by the photoresist is etched using RIE [Figure 4.4(d)]. Using the remained photoresist

as an etch mask, the silicon handle layer is etched until the buried oxide layer by DRIE [Figure

4.4(e)]. The buried oxide layer as well as the remained bottom oxide layer is etched using BOE

[Figure 4.4(f)]. Aluminum electrodes are patterned on the top side by e-beam evaporation

and lift-off [Figure 4.4(g)]. Finally, the device layer is patterned using DRIE to form active

structures [Figure 4.4(h)].

For mechanically connecting suspended structures with electrical insulation, the two-step

DRIE process of the handle layer [Figure 4.4(c) and (e)] creates a step difference between

the central suspended structure and the device frame, whichsignificantly reduces the risk of

device breakage during device handling and operation. The released devices are glued and

wire-bonded to custom-made printed circuit boards [Figure4.5] with a two-channel capacitive-

to-digital converter (AD7746, Analog Devices Inc.) for sampling data from the two capacitive

sensors on the device. Since the remained flux on the circuit boards can outgas in SEM, it was

removed using an ultrasonic cleaner and an aqueous flux remover, prior to the wire-bonding.

The glue and solder used in this work are vacuum compatible.

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 55

0.0 0.5 1.0 1.5 2.00.0

0.4

0.8

1.2 measured data

linear regressionou

tput

vol

tage

(V)

displacement ( m)

(a)

0.0 0.5 1.0 1.50.0

0.2

0.4

0.6

0.8

1.0 measured data

linear regression

outp

ut v

olta

ge (V

)

displacement ( m)

(b)

0 5 10 15 20 250.0

0.2

0.4

0.6

0.8

1.0 measured data

linear regression

outp

ut v

olta

ge (V

)

applied force ( N)

(c)

Figure 4.6: Calibration results of the displacement sensor(a) and the force sensor (b)(c). The

displacement sensor exhibits a resolution of 1.7 nm at 45 Hz.The force sensor exhibits a

displacement sensing resolution of 1.5 nm and a force sensing resolution of 26.8 nN at 45 Hz.

A few devices whose actuator shuttle and force sensor shuttle are connected by design

were also included on the same wafer, for device characterization. The equivalent resistance

of beam a and beam b was measured to be 81Ω, which is negligible in comparison with the

nanowire resistances obtained in Section 4.4.3. Furthermore, the deformation of the two beams

by the actuator did not result in resistance change. Therefore, beam a and beam b can be safely

ignored in the circuit shown in Figure 4.3.

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 56

4.3.2 Sensor Calibration

The displacement sensing functions of both the displacement sensor and the force sensor were

calibrated. The force sensing function of the force sensor was also calibrated. A data sampling

rate of 45 Hz was used during device calibration.

The displacement sensor was deformed by driving the actuator [Figure 4.1(a)], with the

displacements measured from microscopy imaging and correlated to the output voltage of the

readout circuit [Figure 4.6(a)]. Determined from the noiselevel of the output voltage, the

displacement sensor exhibits a resolution of 1.7 nm at 45 Hz.The force sensor was deformed

by using a microprobe under a probe station to push the calibration probe of the device, with

the displacements also measured from both imaging and the readout circuit. The calibration

results are shown in Figure 4.6(b). The displacement sensing resolution of the force sensor was

determined to be 1.5 nm at 45 Hz.

A precision microbalance (XS105DU, Mettler-Toledo Inc.) with a resolution of 0.1µN was

used to calibrate the force sensor. Figure 4.6(c) shows the calibration results. The force sensor

exhibits a resolution of 26.8 nN at 45 Hz. Additionally, the stiffness of the force sensor can be

obtained by calculating the ratio of the slope of the regression line in Figure 4.6(b) to that in

Figure 4.6(c), resulting in 18.2 N/m.

4.4 Experimental Results and Discussions

4.4.1 Synthesis of Silicon Nanowires

As a type of piezoresistive nanomaterial, silicon nanowires were chosen for characterization by

the MEMS device in this work. Silicon nanowires used in this study were vapor-liquid-solid

(VLS) synthesized using low pressure chemical vapor deposition (LPCVD). A gold thin film

was thermally evaporated onto a silicon (111) substrate, which was subsequently annealed to

form a discontinuous film consisting of 50–100 nm diameter gold islands. The substrate was

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 57

then introduced into a reactor and brought to a temperature above the Au-Si eutectic point of

363 °C in a H2 atmosphere. Deposition occurred at approximately 550 °C using a 10% SiH4/H2

as the silicon source with trace levels of phosphine (PH3) as the n-type dopant source at a total

pressure between 10 and 50 Torr. Lengths of the synthesized nanowires were 10–30µm.

4.4.2 Transfer of Nanowire onto MEMS Device

A few methods have been reported for the integration of a nanomaterial to a MEMS de-

vice. Nanomaterials can be fabricated directly on MEMS devices [103,118]). Pre-synthesized

nanomaterials were also transferred onto MEMS devices via DEP (dielectrophoresis) trap-

ping [104,119] [111], FIB (focused ion beam) deposition [106], and direct pick-and-place [67,

70, 105, 108, 120–123]. Due to the flexibility of pick-and-place nanomanipulation inside SEM

and no need for nanomaterial pre-processing (e.g., sonication), we transferred individual sili-

con nanowires from growth substrates onto MEMS devices via direct pick-and-place.

For the experimental setup, a silicon nanowire substrate and a circuit board with a wire-

bonded MEMS device were placed on the specimen stage of an SEM(S-4000, Hitachi Inc.),

where a nanomanipulation system (S100, Zyvex Inc.) was mounted, as illustrated in Figure

4.7(a). A tungsten probe (tip diameter: 200 nm) was installed to one of the nanomanipulators

and used to transfer individual nanowires [Figure 4.7(b1)–(b3)]. Throughout the manipulation

process, an acceleration voltage of 2 kV in SEM imaging was typically used.

Briefly, the nanomanipulator first approaches an edge of the nanowire substrate and es-

tablishes contact with a single nanowire near its root. Following the contact, the nanowire

is ‘soldered’ to the probe tip using electron beam induced deposition (EBID). The deposited

material from EBID without injecting precursors is carbonaceous material, which is from the

decomposition of contaminants inside the SEM chamber [10, 11, 73]. The probe then retracts

and pulls the nanowire off from the growth substrate, as shown in Figure 4.7(b1). A detached

nanowire typically fractures near its root, so the upper section of the nanowire to be used for

testing does not experience tension and remains intact.

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 58

(a)

4

32

110 mm

(b1) (b2)

(b3) (b4)

probe

nanowire

probe

gap

EBIDfractured

Figure 4.7: Nanowire transfer. (a) Experimental setup: TheMEMS device and the nanowire

sample are installed to the specimen stage of an SEM integrated with a nanomanipulation sys-

tem. 1. Nanomanipulator, 2. tungsten nanoprobe, 3. siliconnanowire substrate, and 4. MEMS

device. (b) Transfer procedure: A silicon nanowire is transferred from its growth substrate to

the testing device via nanomanipulation inside an SEM, followed by electromechanical char-

acterization. (b1) The probe picks up a nanowire by soldering it to the probe tip using EBID

and detaching it from the growth substrate. (b2) The nanomanipulator transfers the nanowire to

above the device. (b3) The nanomanipulator places the nanowire across the gap of the device

and the nanowire is EBID-soldered to the two edges of the gap.(b4) The device electrome-

chanically interrogates the nanowire until its tensile failure.

The nanomanipulator subsequently transfers the nanowire to above the MEMS device [Fig-

ure 4.7(b2)] and lowers the nanowire to place it across the gap of the device. The first bond

between the nanowire and one edge of the gap is formed again via EBID. The nanomanipula-

tor then orients the nanowire to make it perpendicular to thegap, followed by EBID-soldering

the nanowire to the second gap edge [Figure 4.7(b3)]. The purpose of fixing the nanowire to

the very edges of the gap, rather than some distance away fromthe edges, is to prevent static

friction between the nanowire and the device surface when the nanowire is stretched.

Finally, the probe is retracted from the MEMS device, duringwhich the nanowire break-

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 59

(a)

stre

ss (

GP

a)

0 1 2 3 4 0

1

2

3

4

5

6

strain (%)

measured data

linear regression

E = 165.3 GPa

(b)

0.0% 1.3% 2.1% 2.7% 3.0%

–20 –10 0 10 20

strain level

0

–1

–2

1

2

3

4

curr

ent

(nA

)

voltage (V)

Figure 4.8: Mechanical and electrical characterization results. (a) Stress–strain curve. The

nanowire exhibits a Young’s modulus of 165.3 GPa and a failure strength of 5.67 GPa. (b)I–V

characteristics of the nanowire under different strain levels.

s between the second EBID-bond on the device and the EBID-bond on the probe. Prior to

stretching the nanowire, the two bonds are strengthened using EBID once again, until theI–V

characteristics of the nanowire does not change anymore. This step was also performed to en-

sure the EBID bonds are secure during nanowire stretching and do not break before the tensile

failure of the nanowire.

4.4.3 Nanowire Characterization

The nanowire specimen was tensile-stretched until its fracture [Figure 4.7(b4)] with the force–

elongation data recorded, during which itsI–V data curves were also obtained using a source

measurement unit (SourceMeter 2602, Keithley InstrumentsInc.) at a number of strain levels.

A representative stress–strain curve from a nanowire specimen is shown in Figure 4.8(a), from

which the Young’s modulus (165.3 GPa) and failure strength (5.67 GPa) were determined. It

can also be observed from the curve that the nanowire specimen did not experience the phase

of plastic deformation before fracture, proving to be brittle. The Young’s modulus derived

from five silicon nanowires was 165.4±3.9 GPa (n=5), which is in agreement with findings for

VLS-grown [111] silicon nanowires as reported in [70, 124].In all experiments, the nanowire

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 60

misalignment was less than 5 between the axial direction of the nanowire specimen and the

stretching direction, resulting in an error of less than 1% in the measured Young’s modulus [67].

The failure strengths of the nanowires were determined to be5.3±0.6 GPa (n=5). The tested

nanowires had diameters of 72–97 nm and lengths of 6.7–8.2µm between the two EBID bonds.

For coupled electrical characterization at each strain level, a voltage sweep (e.g., from−20

V to +20 V) was applied to a nanowire specimen and the current flow was measured. Figure

4.8(b) showsI–V characteristics of a silicon nanowire at different strain levels. It can be seen

that straining the nanowire resulted inI–V changes.

Figure 4.8(b) also shows that theI–V curves are not symmetrical with regard to the ori-

gin, indicating the existence of Schottky contacts. When the applied voltage is low (<0.5 V),

the voltage is mainly distributed on the two Schottky barriers [Figure 4.3], rather than on the

specimen. As the applied voltage increases, the specimen starts to contribute more to theI–V

characteristics. At a high voltage (>5 V), while the voltage drop across the forward-biased

Schottky barrier remains small, the voltage drop across thereverse-biased Schottky barrier

becomes saturated. Thus, the slope of the linear section of aI–V curve at high voltages ap-

proximates the conductance of the specimen [114, 125–127].When the applied voltage is

even higher (e.g.,>15V), theI–V curves become more nonlinear since the electrical transport

through the nanowire is space charge limited [13,128].

Therefore, the voltage range of 5–9 V in Figure 4.8(b) was used to determine the intrinsic

resistance of the nanowire at different strain levels. The resistance and resistivity under the

unstrained condition were determined to be 5.9× 1011 Ω and 406Ω · m. At 3.0% strain, the

resistance was determined to be 2.2× 1010 Ω, reduced by a factor of 26.8 from the resistance

at zero strain. This significant change in the resistance indicates the piezoresistive effect of the

silicon nanowire. As another measure to quantify this effect, the gauge factor (ratio of relative

resistance change to strain) of the nanowire was determinedto be 67.1 at 1.3% strain. The

characterization of the piezoresistivity of silicon nanowire was enabled by the capability of the

MEMS device for simultaneous electrical and mechanical characterization.

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 61

(a) (b)

(c) (d)

0 0

1 1

2 2

3 3

4 4

−1 −1

1 1

2 2

3 3

4 4

5 5

6 6

0 020 2040 40time (s) time (s)

curr

ent

(nA

)cu

rren

t(n

A)

curr

ent

(nA

)cu

rren

t(n

A)

−20 −200 020 20voltage (V) voltage (V)

3.0%

2.1%

0.0%

3.0%

2.1%

0.0%

30 kV

20 kV

10 kV

e-beam off

30 kV20 kV

10 kV

e-beam off

Figure 4.9: (a)(b)I–V characteristics of a nanowire under e-beam irradiation of different ac-

celeration voltages (0 kV, 10 kV, 20 kV, and 30 kV), with nanowire unstrained (a) and 2.1%

strain (b), revealing the effect of SEM imaging. (c)(d) Dynamic current response of a nanowire

subject to cyclic mechanical loading with different strain levels (0, 2.1%, and 3.0%), under

a constant applied voltage of 20 V, with e-beam off (c) and e-beam on with the acceleration

voltage of 20 kV (d).

The EBID deposits for nanowire–device contact were carbonaceous materials, since no

gas was used. If a gas injection system is available, different metals such as tungsten, gold, or

platinum can be deposited. The Schottky barrier height willbe different with a different contact

material.

4.4.4 Effect of E-Beam Irradiation

Repeated tensile tests were performed on silicon nanowires, under the conditions of e-beam on

and off. The experimental results indicate that e-beam irradiation did not affect the measured

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 62

mechanical properties. However, e-beam irradiation produces significant effect onI–V charac-

teristics of nanowires. In our study,I–V characteristics of the nanowires were quantified with

the e-beam off and on with different acceleration voltages of 10 kV, 20 kV, and 30 kV, under

0% and 2.1% strain levels [Figure 4.9(a)(b)]. It can be seen that e-beam irradiation signifi-

cantly altersI–V data, likely through charge injection from e-beam into the specimen. Thus,

for electromechanical characterization of nanowires, theelongation measurement preferably

should be performed electronically. When EM imaging must beused, the acceleration voltage

should be kept low.

Figure 4.9(c)(d) show data collected on a silicon nanowire that was subject to cyclic loading

at strain levels of 0%, 2.1%, and 3.0%. By comparing the e-beam off result (Figure 4.9(c))

with the e-beam on result (Figure 4.9(d)), the current increases due to e-beam irradiation are

107% for 0% strain, 35% for 2.1% strain, and 56% for 3.0% strain, again demonstrating the

significant effect of e-beam irradiation. Additionally, cyclic loading was repeated for over

1,000 cycles. No signs of nanowire fatigue were observed.

Of the over 1,000 cycles, the above e-beam on and e-beam off experiments (Figure 9(c)(d))

demonstrated highly repeatable results, indicating that short-term e-beam irradiation affect-

s electrical measurements but does not permanently change the electrical properties of the

nanowires.

4.5 Conclusions

This chapter described a MEMS device for simultaneous electrical and mechanical charac-

terization of individual nanowires. The device integratesan actuator, two capacitive sensors,

and two suspended electrodes for a nanowire to bridge. Tensile forces and elongation mea-

surements are all acquired electronically, without relying on EM imaging. The two suspended

electrodes enableI–V characteristics of a specimen to be obtained at different strain levels.

Nanomanipulation (pick-and-place) inside SEM was performed to transfer individual silicon

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Chapter 4. Piezoresistivity Characterization of Nanowires using aMEMS Device 63

nanowires from their growth substrates onto the MEMS device. Measurements were made

to quantify the mechanical and electrical properties, and piezoresistive effect of the silicon

nanowires. The significant effect that e-beam irradiation has through EM imaging on theI–V

characteristics of nanowires was also revealed.

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Chapter 5

A load-lock-compatible nanomanipulation

system for SEM

5.1 Introduction

The capability of real-time imaging with nanometer resolutions makes scanning electron mi-

croscopes (SEM) an appealing imaging platform for robotic manipulation of nanometer-sized

objects. Nanomanipulation in SEM has been used to manipulate carbon nanotubes [10,73,129],

InGaAs/GaAs nanosprings [12,102], and silicon nanowires [13,65,130] for characterizing their

mechanical and/or electrical properties. Nanoassembly in SEM was also demonstrated for the

construction of three-dimensional photonic crystals [71].

A number of nanomanipulation systems have been developed bycompanies, such as K-

leindiek, Zyvex, SmarAct, and Attocube [Figure 5.1], as well as by academic laboratories

(e.g., [10, 77, 131, 132]). Piezo motors and actuators are used due to their high positioning

resolution, fast response, high force generation, and no magnetic field generation (thus, no

interference with EM imaging).

When a piezoelectric element is operated in the stick-slip mode for achieving a large motion

range (e.g., millimeters), it is often called a piezo motor.The same piezoelectric element can

64

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 65

(a) (b)

(c) (d)

Figure 5.1: Commercial nanomanipulation systems. (a) Zyvex S100; (b) Kleindiek NanoWork-

station; (c) SmarAct system; (d) Attocube system.

also be operated in the fine mode (called a piezo actuator) to produce fine motion of nanometers

with a travel range limited to a few micrometers. Using a single piezo element for both coarse

and fine positioning is advantageous when a compact system size is desired. On the other hand,

when employing two piezoelectric elements, one functioning as a piezo motor and the other

independently as a piezo actuator, a nanomanipulation system is capable of extending the travel

range of fine positioning from a few micrometers to tens of micrometers.

For installing a nanomanipulation system into an SEM, nanomanipulators are mounted

onto, in most cases, the SEM stage [132, 133], or less commonly, the chamber wall [70] or

the ceiling [134] of the SEM. SEM imaging and nanomanipulation occur in the high-vacuum

chamber. The installation of a nanomanipulation system or exchanging end-effectors (e.g.,

nano probes and grippers) requires the opening of the high-vacuum chamber. Breaking the

high vacuum and exposing the chamber to the ambient environment contaminate the chamber

and incur a lengthy pump-down process (e.g., 30 minutes to 2 hours) after closing the chamber.

Besides the high-vacuum chamber, an SEM has a specimen exchange chamber (load-lock,

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 66

typically much smaller than the high-vacuum chamber) through which a specimen is trans-

ferred into and out of the high-vacuum chamber. The specimentransfer process does not

significantly alter the high vacuum in the SEM main chamber; thus, no lengthy pumping is

required, and less contamination is incurred in comparisonto the opening of the high-vacuum

chamber. Therefore, it is desirable to develop a compact nanomanipulation system that can be

transferred through the specimen exchange chamber withoutbreaking the high vacuum. This

advance would make nanomanipulation systems more SEM-compatible and improve produc-

tivity especially for nanomanipulation tasks that requirefrequent exchange of end-effectors.

SEM nanomanipulation has been largely performed manually by an operator using a joy-

stick and/or a keypad while closely monitoring SEM images, which is time consuming and

skill dependent, and results in low productivity and frequent end-effector breakage. Using

SEM as a vision sensor, advances were recently made [77,78,115,135,136] to facilitate auto-

mated nanopositioning. However, piezo motor or actuator has inherent hysteresis demanding

a high-bandwidth sensor for hysteresis modeling in feedforward control [137] or closed-loop

control [138, 139], but SEM imaging suffers from low frame rates, image drift and noise, and

image quality variations due to environmental factors and electrical charging of specimens,

necessitating the use of additional position feedback, such as high-resolution optical encoders.

This chapter presents a nanomanipulation system [Figure 5.2] that is small in size, capable

of being transferred through the specimen exchange chamberof a standard SEM. This feature

circumvents the opening of the high-vacuum chamber of the SEM, which is necessary for ex-

isting nanomanipulation systems. The system also integrates high-resolution optical encoders

to provide position feedback along multiple axes with nanometer resolutions for closed-loop

positioning. The system design, system characterization details, and system performance are

presented.

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 67

1

2

3

4

6

(a)

5

(b)

3 cm

2

5

4

Figure 5.2: Nanomanipulation system that is compact in size, capable of being transferred

through the specimen exchange chamber of a standard SEM. 1. SEM pole piece, 2. nanoma-

nipulator, 3. specimen holder, 4. nanomanipulator carrier, 5. male electrical connectors, 6.

female electrical connector.

5.2 System Design

As shown in Figure 5.2, the nanomanipulation system has a nanomanipulator carrier (4), on

which there are two nanomanipulators (2) and two corresponding male electrical connectors

(5). The female electrical connectors (6) are installed onto the SEM main chamber stage per-

manently, and mate with connectors (5) when carrier (4) is transferred through the specimen

exchange chamber like a regular specimen. Electrical wiresfrom connectors (6) are connected

to the nanomanipulator driver/controller outside the SEM through an SEM feedthrough port.

Carrier (4) has a T-shaped structure at its bottom for its mounting to the T-groove of the speci-

men stage. After the transfer of carrier (4), the specimen holder (3) is transferred to the carrier

through the specimen exchange chamber.

The installation of electrical connectors requires one-time opening of the high-vacuum

chamber while mounting and demounting of nanomanipulatorsdo not break the high vacu-

um. Nor does the exchange of end-effectors affect the high vacuum. In addition, in this design

architecture, transferring a specimen into and out of the SEM is decoupled from the nanoma-

nipulation system. Thus, during specimen exchanging, the nanomanipulation system stays

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 68

Figure 5.3: Installation procedure of the nanomanipulation system. (a) Female electrical con-

nectors (1) are installed to the specimen stage (3) inside the SEM main chamber (2). (b) The

nanomanipulator carrier (6) is installed to the specimen exchange rod (5) after the specimen

exchange chamber (7) is aired and its door (4) is opened. (c) The nanomanipulator carrier is

transferred to the main chamber for mechanical mounting to the specimen stage and electri-

cal coupling to the previously installed female electricalconnectors. (d) The specimen holder

(8) with a specimen stub (9) is transferred to the manipulator carrier through the specimen

exchange chamber.

inside the SEM without being disturbed. Figure 5.3 shows theinstallation procedure of the

nanomanipulation system to a standard SEM (Hitachi SU6600). For demounting the specimen

holder or the nanomanipulator carrier, the specimen exchange rod is used again to transfer them

out through the specimen exchange chamber.

The system contains two nanomanipulators, both assembled from three nanopositioners

(SmarAct GmbH) integrated with optical encoders (reportedresolution: 1 nm, Numerik Jena

GmbH). The size of each nanomanipulator is 36×21×22 mm3. The nanopositioners, as esti-

mated by the manufacturer, when operating in the coarse positioning mode (i.e., as a piezo

motor), have a travel range of 10 mm and a resolution of∼50 nm; and when operating in the

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 69

fine positioning mode (i.e., as a piezo actuator), have a travel range of 1µm and a resolution of

∼1 nm. The load carrying capability of the nanopositioner is approximately 3.0 N.

The system can be redesigned to contain more than two nanomanipulators. Additionally, it

is also feasible to integrate nanomanipulators with both translational and rotational degrees of

freedom into the system for more dexterous nanomanipulation. The present nanomanipulation

system producing only translational motions was systematically characterized to quantify its

performance inside SEM.

5.3 System Characterization

5.3.1 SEM Imaging

SEM imaging is used as a benchmark to characterize the performance of the actuators and

encoders of the nanomanipulation system. SEM is known to have issues such as image drift

and noise, making stationary features on a specimen appear moving in the image frame. Thus,

characterization of drift and noise in SEM imaging was conducted.

SEM image noise refers to random variations of pixel values,arising from a few sources

(e.g., limited number of excited secondary electrons from specimens). Image drift refers to the

movement of the entire image due to electron beam drift, charge drift on a specimen, and/or

electromagnetic interferences from the environment. In order to quantify image drift and noise,

two features on a stationary specimen were visually trackedsimultaneously over 5 min using a

subpixel visual tracking algorithm [94]. A high imaging magnification of 100,000× was used

along with other optimal imaging conditions (e.g., a short working distance of 5 mm, a high

acceleration voltage of 30 kV, and the use of a magnetic field cancelation device). The pixel

size at 100,000× magnification is 2 nm× 2 nm. These imaging conditions were also used in

the subsequent characterization of the nanomanipulation system.

The two tracking curves in Figure 5.4 each represent the position change of a feature rela-

tive to its original position at 0 s in the image. Those two tracked features were 1µm apart. The

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 70

0 50 100 150 200 250 300−10

0

10

20

30

40

50

60

70

time (s)

drift

(nm

)

tracking curves of features 1 and 2 (overlapping)

image noise

Figure 5.4: Quantification of SEM image drift and noise. Drift curves (top) were collected by

visually tracking two stationary features on the specimen.The noise curve (bottom) results

from substraction of the two drift curves.

two curves essentially overlap, indicating that image drift dominates noise. The relative posi-

tion change between the two features (subtraction between the two tracking curves) represents

image noise, shown as the horizontal curve in Figure 5.4 (mean: 0.05 nm; standard deviation:

0.33 nm).

5.3.2 Actuator Characterization

The step size of the piezo motor (stick-slip mode) in coarse movement depends on the ampli-

tude and frequency of the driving sawtooth signal. The minimum step size is defined as the

minimum repeatable movement of the actuator in the coarse mode. As shown in Figure 5.5(a),

the minimum step size of the nanomanipulators is 97.2 nm witha standard deviation of 1.1

nm when the amplitude and frequency of the driving sawtooth signal are set to be 48.84 V and

12,000 Hz, respectively.

The input voltage of the piezo actuator ranges from 0 V to 100 Vusing a 12-bit DAC

(digital-to-analog converter), corresponding to 10 nm/V. The piezo actuator often starts at its

center position, e.g., 50 V actuation voltage, in a coarse-fine positioning system for the pur-

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 71

1080 1080.1 1080.2 1080.3 1080.4 1080.50

100

200

300

400

500

600

time (s)

disp

lace

men

t (nm

)

(a)

97 nm

0 0.2 0.4 0.6 0.8 10

2

4

6

8

10

12

voltage increment (V)

disp

lace

men

t (nm

)

raw data

linear regression

(b)

0.63 nm

0 5 10 15 200

50

100

150

200

250

300

350

400

voltage increment (V)

disp

lace

men

t (nm

)

(c)

initial input voltage: 50 V

initial input voltage: 0 V

Figure 5.5: Actuator characterization results. (a) The step size of the stick-slip movement was

experimentally determined. The minimum step size that the system is capable of producing

with a high repeatability is determined to be 97.2 nm with a standard deviation of 1.1 nm.

(b) The resolution of the actuator is characterized to be better than 0.70 nm. (c) Hysteretic

behaviors of the piezo actuator when the initial input voltages are 0 V and 50 V, respectively.

pose of producing forward/backward movement. The piezo actuator was driven by an input

voltage increasing from 50 V to 51 V with an interval of 0.024 V(i.e., 100/212 V). The same

imaging conditions and subpixel visual tracking algorithmas used in the SEM characterization

were applied. As shown in Figure 5.5(b), the subpixel visualtracking algorithm detects the

movement of the piezo actuator after each two voltage increments, since one voltage increment

results in the calculated movement of 0.24 nm, smaller than the SEM imaging noise level (i.e.,

0.33 nm). The mean and standard deviation of the position increments are 0.51 nm and 0.19

nm, respectively, indicating that piezo actuator has a resolution better than 0.70 nm.

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 72

0 100 200 300 400 500 600600

−800

−600

−400

−200

0

time (s)en

code

r re

adin

g (n

m)

threeencoders

encoder drift

(a)

100 100.5 101 101.5 102 102.5 103−1.5

−1

−0.5

0

0.5

1

1.5

time (s)

nois

e (n

m)

(b)p−p: 2 nm

0 0.2 0.4 0.6 0.8 1−1

0

1

2

3

4

5

time (s)

disp

lace

men

t (nm

)encoder reading

subpixel tracking

(c)

Figure 5.6: Encoder characterization results. (a) Drift quantification. (b) Noise quantification.

(c) Resolution quantification.

As the actuation voltage increases by 20 V and returns to the initial voltage, the piezo

actuator exhibits significant hysteretic behavior [Figure5.5(c)], translating into poor linearity

between the displacement and the actuation voltage. For portions of the curve where a voltage

increment corresponds to a travel distance larger than the image noise level, one voltage incre-

ment can also result in a movement detectable by the trackingalgorithm. Figure 5.5(c) also

indicates that hysteresis is highly dependent on the starting voltage, necessitating closed-loop

control [138–140] or a suitable mathematical model of the hysteretic behavior [95, 141–143]

to compensate for the nonlinearity.

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 73

5.3.3 Encoder Characterization

Drift, accuracy, and resolution of the optical encoders were characterized inside the SEM. The

encoder reading drifts because the light source of the encoder generates heat and causes the

optical scale of encoder to expand. This issue is worsened bypoor heat transfer in the high

vacuum environment of SEM. Figure 5.6(a) shows encoder reading sampled at 100 Hz for 10

min while the nanomanipulators were kept unactuated. It is not clear why the encoders drift

in one direction for the first few seconds when they are turnedon and subsequently drift in the

opposite direction. After the direction reverse, all encoders drift at a near constant rate of 1.2

nm/s. This result is useful for encoder drift compensation whenrequired. It also guides one to

limit the duration between two critical encoder readings tobelow 1 s, in order to avoid/mitigate

the effect of encoder drift.

Encoder accuracy was quantified using SEM imaging. The nanomanipulators were moved

in the XY plane in open loop, with the travel distance measured from both the encoders and

SEM imaging. The absolute accuracy of the encoders depends on travel distances. For ex-

ample, when the nanomanipulator traveled by 1,292 nm (measured by SEM imaging), the

corresponding encoder reading was 1,280 nm. The encoder error changes proportionally with

traveled distances. The results show that the average accuracy of the encoders is 98% of SEM

measurements.

Subtracting the drift (e.g., a ramp signal of 1.2 nm/s) from the encoder reading in Figure

5.6(a) yields the noise component of the reading, as shown inFig. 5.6(b). The noise has a p-p

value of 2 nm, limited by the resolution of the encoder. To quantify the minimum motion an

encoder (i.e., encoder resolution) is able to detect, a piezo actuator (fine mode) was actuated to

travel by approximately 5 nm during 1 s with an interval of 1 nm. The subpixel visual tracking

result from SEM imaging is deemed to be the actual displacement, and the encoder reading is

the measured output. As shown in Figure 5.6(c) and TABLE 5.1,the difference between the

actual position and the encoder reading is less than 2 nm, demonstrating that the encoder has a

2 nm resolution.

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 74

Table 5.1: Resolution of the Optical Encoders

subpixel (nm) 0 1.01 2.39 3.17 4.0 4.78

encoder (averaged) (nm) 0 0 2 2 4 4

(subpixel− encoder) (nm) 0 1.01 0.39 1.17 0 0.78

It should be noted that when an actuator was actuated to travel a small distance close to the

resolution of its encoder, the encoder resolution is the major factor determining the accuracy

the encoder reading. When the traveled distance is much larger than the encoder resolution,

the effect of the encoder accuracy alone dominates the effect of the encoder resolution.

5.3.4 Control

The integration of encoders enables the implementation of look-then-move control in theXY

directions. Considering the large travel range of the piezomotor in the coarse mode and the

small travel range of the piezo actuator in the fine mode, two classical discrete PID controllers

were implemented to control the coarse-fine system. A switchfunction was used to determine

the selection of the two PID controllers.

However, the accuracy of the optical encoders (e.g., 98% over the travel range) degrades

the accuracy of position control in the image frame, demanding an image-based visual servo

integrated with the look-then-move control. The combined use of look-then-move and image-

based visual servo improves the accuracy while maintaininga reasonable speed.

Denoting fd ∈ ℜ2×1, fi ∈ ℜ

2×1 and fc ∈ ℜ2×1as the desired, initial and current position

of the end-effector in the image frame, andXi ∈ ℜ2×1 as the initial position along theXY

directions in the actuator coordinate system, the desired positionXd ∈ ℜ2×1 of the end-effector

in the actuator coordinate system is

Xd = J( fd − fi) + Xi , (5.1)

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 75

where J ∈ ℜ+ is the ratio between the displacements in the image frame andthe actuator

coordinate system by assuming thatX andY axes of the actuator coordinate system coincide

with column and row of the image frame, respectively. The assumption is feasible because the

electron beam and the SEM sample stage can be rotated to alginthe X andY axes with the

column and row of the image frame.

Coarse-Fine Switch of Look-then-Move Control

The control input (e.g.,Ux along theX direction) is switched from coarse modeUc to fine mode

U f by comparing the error (Ex) with the travel range (Θ) of the piezo actuator as follows:

Ux =

Uc, Ex > Θ

U f , Ex ≤ Θ

(5.2)

whereUc andU f are control output from classical discrete PID controllers:

Uc = KpcEx(n) + Kic

n∑

k=0

Ex(k) + Kdc∆(n) , (5.3)

U f = Kp f Ex(m) + Ki f

m∑

k=0

Ex(k) + Kd f∆(m) , (5.4)

wheren (m) is the discrete step at timet, Kpc, Kic, Kdc andKp f , Ki f , Kd f are the PID parame-

ters for the coarse and fine control, respectively.Ex(n) (Ex(m)) is the error between the current

position and desired position, and∆(n) (∆(m)) is the difference between the current position

and previous position at timen − 1 (m − 1).

Coarse-Fine Switch of Image-Based Visual Servo

The form of the controller of coarse-fine image-based visualservo is similar as (5.3) and (5.4),

except that the error is determined in the image frame. The switch of the coarse-fine control

input (ux) is as follows:

ux =

uc, ex > Ω

u f , ex ≤ Ω

, (5.5)

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 76

whereuc andu f are the coarse and fine control input, andΩ (pixel) is often chosen as the ratio

between the travel range of the piezo actuator and the pixel size of the SEM image.

Switch of Look-then-Move Control and Image-Based Visual Servo

The image-based visual servo won’t be triggered until the look-then-move control reaches its

steady state, e.g.Ex = τ nm (absolute accuracy of the optical encoder correspondingto a travel

distance) by choosing the PID parameters inUc andU f carefully. For example, the control

inputu in theX direction is:

u =

Ux, |Ex| > τ

ux, Ex ≤ τ

, (5.6)

Positioning along theZ Direction

The Z position of a nanomanipulator can also be obtained through SEM imaging, by tilting

the SEM stage to achieve views from a different angle. The tilting angle can be determined

from the rotary encoder of the SEM specimen stage. The stage tilting induces relative position

change between the end-effector and the substrate in the image frame. With the tilting angle

and position change being known, the height of the end-effector relative to the substrate surface

can be calculated. However, this method depends on the availability of high-resolution rotary

encoders and is time costly in implementation. Thus, an SEM vision-based contact detection

method is developed forZ-position determination.

Accurately detecting the contact between an end-effector and the substrate can provide a

nanomanipulation system with a reference along theZ direction. Vision-based contact detec-

tion [63] is used. This approach does not require additionalequipment, devices or sensors.

Using SEM visual feedback, the end-effector (i.e., nanoprobe) is visually tracked in real-time

as it descends towards the target surface. Once contact between the end-effector and target sur-

face is established, further motion of the end-effector in theZ direction causes the end-effector

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 77

0 50 100 150 200 250 30078

80

82

84

86

88

90

92

94

image frame

x co

ordi

nate

(pi

xel)

of p

robe

tip

s

B

sA

sCs

D(xB − xA) > ∆d

Figure 5.7: The end-effector slides on the substrate after contact is established.A contact is

detected if the pixel values difference in currentxi (e.g., B) and previous positionxi−5 (e.g., A)

is greater than a threshold∆d (e.g., 4 pixel).

to slide on the substrate surface. This sliding motion is detected by comparing the pixel values

difference (e.g.,xi − xi−5) and a threshold∆d (e.g., 4 pixel) as shown in Figure 5.7.

Upon the detection of the contact (e.g., point B in Figure 5.7), the end-effector is retracted to

the actual contact point (point C) by ascending in theZ direction by∆Z, and then raised by tens

of nanometers (∆Za) (to point D). As summarized in TABLE 5.2, encoder accuracy is within

98% of travel distance. Since the motion range along the∆Z is typically not beyond 100 nm

after contact detection, the nanomanipulation system usesonly encoder feedback and standard

PID position control for positioning along theZ direction after the first contact detection.

5.4 Results and Discussions

TABLE 5.2 summarizes system specifications and characterized performance. The size of the

overall system makes it easily fit through the SEM specimen exchange chamber to enter the

high vacuum chamber. The coarse positioning resolution of 97.2 nm is sufficient for the system

to manipulate submicrometer-sized objects. However, in order to manipulate nanometer-sized

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 78

Table 5.2: Summary of System Performance.

dimensioncomplete system 100×80×46 mm3

manipulator 36×21×22 mm3

encoder

resolution 2 nm

accuracy 98% of travel distance

drift 1.2 nm/s

piezo motorrange 11 mm

step size 97.2 nm

piezo actuatorrange 1.2µm

resolution 0.7 nm

closed loop

accuracy98% of travel distance

(look-then-move)

accuracy< 1 pixel

(visual servo)

objects, the system must operate in the fine mode to produce a motion resolution of nanometers.

While the steady state error of the closed-loop controlled nanomanipulation system is de-

termined by the resolution of the encoders, the positioningaccuracy depends on the accuracy

of the encoders. For example, when the system is controlled to travel 320 nm along theX or Y

direction, the system reaches the target position with an error of±4 nm, benchmarked by SEM

imaging. The average encoder accuracy and actuator performance listed in TABLE 5.2 are also

applicable to theZ direction. Characterizing the system’s positioning performance along the

Z direction was performed by accurately tilting the SEM stageand using SEM imaging from

multiple oblique views.

The integrated encoders increase system bandwidth. A comparison was made between

look-then-move control and image-based visual servo. The encoder sampling frequency was

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 79

0 1 2 3 4 50

0.5

1

1.5

2

2.5

3x 10

5

time (s)

resp

onse

(nm

)

look−then−move

visual servo

(a)

−20 −10 0 10 20 30 40−20

−10

0

10

20

x (µm)

y (µ

m)

initialposition

plannedtrajectory

actualtrajectory

(b)

Figure 5.8: Control system performance. (a) Step response of the system. Comparison of look-

then-move control and image-based visual servo. (b) Tracking a circle using look-then-move

control.

set to 100 Hz. SEM imaging at the fast scan mode is 30 Hz as maximum. The control gains

were tuned through trial and error. To travel a distance of 250 µm, look-then-move control

costs 0.25 s to reach the steady state while visual servo takes 3 s, as shown in Figure 5.8(a).

Figure 5.8(b) shows the tracking of a circle (diameter: 32µm) with the look-then-move

control approach. Tracking the full circle took the system 0.87 s and 10.33 s using look-then-

move and image-based visual servo, respectively. Due to encoder inaccuracies (98% of travel

distance), the largest error generated by the system was approximately 640 nm. It is also

observed that the tracking errors were larger for target positions farther away from the original

position, since the absolute encoder error is proportionalto the travel distance.

In order to leverage the high speed of look-then-move approach while reducing its errors, a

combined use of look-then-move and image-based visual servo was implemented. After look-

then-move control reaches the steady state, image-based visual servo can be used to fine tune

the final positions, making the tracking accuracy less than 1pixel with a trade off of a longer

tracking time (2.58 s vs. 0.87 s).

A range of end-effectors such as nano probes, AFM cantilevers, and micro-nanogrippers

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 80

(a)

0 1 2 3 4 50

0.5

1

1.5

2

2.5

3

3.5

applied voltage (V)

mea

sure

d cu

rren

t (µA

)

measurement data

linear regression

(b)

Figure 5.9: Nanowire probing. (a) Two nano probes landing ona nanowire (90 nm in diameter)

for electrical characterization. (b)I–V characteristics of the probed nanowire.

can be mounted on the nanomanipulation system to perform tasks such as nanomaterial char-

acterization and pick-place assembly. In this chapter, nanowire probing (tin oxide nanowires)

is used as an example application to demonstrate the operation of the system.

Both nanomanipulators were mounted with a tungsten nano probe. Electrical connection

between the nano probes and outside SEM was established through electrical connectors on

the nanomanipulators and the SEM feedthrough port. The probes were chemically treated to

remove the native oxide layer using KOH and HF solutions, having an end tip of approximately

150 nm in diameter.

The system is capable of detecting the contact position by monitoring the slope change

in the image pattern. Contact detection typically costs 10 s. The system positions the nano

probes using look-then-move control along theXY direction and position control along theZ

direction. Figure 5.9(a) shows the probing of a 90 nm wide Sn nanowire. Exact accuracy of

contact detection has not been fully characterized; however, the fact that the nano probes were

able to repeatedly land on the 90 nm nanowire confirms that thecontact detection accuracy is

better than 90 nm. The average positioning time for probing ananowire is 0.25 s alongXY

directions. A SourceMeter (2602, Keithley Instruments Inc.) was used to supply voltages and

measure currents. The resistivity of the nanowire was determined from theI–V data shown in

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Chapter 5. A load-lock-compatible nanomanipulation system for SEM 81

Figure 5.9(b) to be 1.10×10−3 Ω ·m.

5.5 Conclusions

This chapter presented a compact, closed-loop controlled nanomanipulation system. The sys-

tem eases end-effector exchange without requiring the opening of the high vacuum chamber

of an SEM, eliminating lengthy pumping processes and incursless contamination. The system

was systematically characterized, demonstrating the suitability for nanopositioning. The inte-

grated high-resolution encoders increase system bandwidth. When encoder feedback and SEM

visual feedback are combined, the control system is capableof achieving both a high speed and

a high accuracy.

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Chapter 6

Conclusions

This thesis developed MEMS devices and robotic techniques and systems for the manipulation

and characterization of micro and nanomaterials. MEMS actuators and sensors permit the

interaction with micro and nanomaterials in a precise and well-controlled manner. Computer

vision and automatic control techniques enable the automation of manipulation processes that

are skill dependent and time consuming.

A MEMS microgripper was developed that is capable of releasing microspheres with 100%

success rate and an accuracy of 0.45±0.24µm. A MEMS testing device was developed and

used to characterize the mechanical and piezoresistive properties of silicon nanowires com-

pletely electronically without relying on SEM imaging. Theeffect of e-beam irradiation from

SEM imaging was also revealed and quantified.

Based on the microgripper, automated pick-and-place of microspheres was demonstrat-

ed using ”looking-and-moving” control. For automated four-point probe on nanowires, four

nanomanipulators in SEM were automatically controlled to land on a nanowire using visual

servo control. Vision-based contact detection was also implemented forZ position control.

A load-lock-compatible nanomanipulation system was developed to make the replacement of

end-effectors more convenient.

82

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Chapter 6. Conclusions 83

6.1 Contributions

The contributions of this thesis are:

1. Design and fabrication of a MEMS microgripper that is capable of active release as well

as gripping of micro-objects.

2. Demonstration of automated pick-and-place of microspheres with 100% repeatability

and high speed.

3. Development of SEM-vision-based servo control and contact detection methods for au-

tomated nanomanipulation in SEM.

4. Demonstration of automated four-point-probe measurement of nanowires in SEM.

5. Design and fabrication of a MEMS device for the electromechanical characterization of

nanowires.

6. Revealing and quantification of the effect of e-beam irradiation on theI–V measurement

of nanowires in SEM.

7. Development and characterization of a load-lock-compatible nanomanipulation system

for SEM.

6.2 Future Directions

Many possibilities exist for extending this research. Examples are:

1. To develop a MEMS nanogripper for pick-and-place of nano-objects, such as nanowires

and nanospheres. The nanogripper has thin and narrow end tips and can be constructed

using combined micro and nanofabrication.

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Chapter 6. Conclusions 84

2. To automate the pick-and-place process of nanowires by extending the developed visual

servo control and contact detection methods. Nanowire detection and selection algo-

rithms should be developed.

3. To take advantage of theex situ testing capability of the MEMS testing device to study

the effects of environmental factors, such as gas, light, or temperature, on the characteri-

zation results of nanowire specimens.

4. To modify the design of the MEMS testing device to integrate four suspended electrodes

for four-point-probe measurement of nanowires during tensile or compression tests. This

new design eliminates the effect of contact resistance on the characterization results and

also enables the study of contact effects.

5. To improve on the developed nanomanipulation system by integrating two more nanoma-

nipulators and a rotational specimen stage in the center.

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