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Nanosensors : Physical, chemical and biological
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NANOSENSORS
PHYSICAL, CHEMICAL,
AND BIOLOGICAL
Series in Sensors
Series Editors: Barry Jones and William B. Spillman
Other recent books in the series:
Chromatic Monitoring of Complex Conditions
Edited by G. R. Jones, A. G. Deakin, and J. W. Spencer
Structural Sensing, Health Monitoring, and Performance Evaluation
D. Huston
Handbook of Magnetic Measurements
S. Tumanski
Principles of Electrical Measurement
S. Tumanski
Current Advances in Sensors
Edited by B. E. Jones
Hall Effect Devices
R. S. Popovic
Biosensors: Microelectrochemical Devices
M. Lambrecht and W. Sansen
Sensor Materials
P. T. Moseley and J. Crocker
Sensors and eir Applications X
Edited by N. M. White and A. T. Augousti
Electronic Noses and Olfaction 2000
Edited by J. W. Gardner and K. C. Persaud
Sensors and eir Applications XI
Edited by K. T. V. Grattan and S. H. Khan
in Film Resistive Sensors
Edited by P. Ciureanu and S. Middelhoek
Sensors and eir Applications XII
Edited by S. J. Prosser and E. Lewis
Novel Sensors and Sensing
R. G. Jackson
CSIR-CEERI, Pilani, India
SERIES IN SENSORS
A TAY LOR & F RANCI S BOOK
CRC Press is an imprint of the
Taylor & Francis Group, an informa business
Boca Raton London New York
NANOSENSORS
PHYSICAL, CHEMICAL,
AND BIOLOGICAL
Vinod Kumar Khanna
CRC Press
Taylor & Francis Group
6000 Broken Sound Parkway NW, Suite 300
Boca Raton, FL 33487-2742
© 2012 by Taylor & Francis Group, LLC
CRC Press is an imprint of Taylor & Francis Group, an Informa business
No claim to original U.S. Government works
Version Date: 20110518
International Standard Book Number-13: 978-1-4398-2713-0 (eBook - PDF)
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Visit the Taylor & Francis Web site at
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Dedicated to the loving memory of my late father
Shri Amarnath Khanna
for nurturing my educational career.
Also dedicated to my mother Shrimati Pushpa Khanna,
my daughter Aloka Khanna, and my wife Amita Khanna
for their affection and support.
vii
Contents
Preface.................................................................................................................... xxi
Acknowledgments.............................................................................................. xxv
Author.................................................................................................................xxvii
1. Introduction to Nanosensors.........................................................................1
1.1 Getting Started with Nanosensors......................................................1
1.2 Natural Sciences.....................................................................................1
1.3 Physics.....................................................................................................2
1.3.1 Definition of Physics.................................................................2
1.3.2 Branches of Physics...................................................................2
1.3.3 Matter: Its States, Materials, and Particles............................2
1.3.4 Molecules, Atoms, and Atomic Structure.............................2
1.3.5 Mechanics..................................................................................4
1.3.6 Heat.............................................................................................6
1.3.7 Sound..........................................................................................6
1.3.8 Light............................................................................................6
1.3.9 Electricity...................................................................................7
1.3.10 Magnetism.................................................................................8
1.3.11 Electromagnetism.....................................................................9
1.3.12 SI System of Units.....................................................................9
1.4 Chemistry.............................................................................................. 10
1.4.1 Definition of Chemistry......................................................... 10
1.4.2 Elements and Compounds.................................................... 10
1.4.3 Organic and Inorganic Compounds.................................... 10
1.4.4 Subdivisions of Chemistry.................................................... 10
1.4.5 Natural and Artificial Elements........................................... 10
1.4.6 Metals, Nonmetals, and Metalloids..................................... 11
1.4.7 Periodic Table of Elements..................................................... 11
1.4.8 Chemical Change and Reaction............................................ 11
1.4.9 Electronic Configuration (Structure) of Elements..............12
1.4.10 Chemical Bond........................................................................12
1.4.11 Oxidation and Reduction....................................................... 13
1.4.12 Acid, Base, and Salt................................................................. 13
1.4.13 Expressing Concentrations of Solutions and Gases........... 13
1.4.14 Hydrocarbons: Saturated and Unsaturated........................ 13
1.4.15 Alkyl and Aryl Groups.......................................................... 14
1.4.16 Alcohols and Phenols............................................................. 14
1.4.17 Carboxylic Acids..................................................................... 14
1.4.18 Aldehydes and Ketones......................................................... 15
viii Contents
1.4.19 Amines and Amino Acids..................................................... 15
1.4.20 Lipids........................................................................................ 15
1.4.21 Carbohydrates......................................................................... 15
1.4.22 Proteins and Enzymes........................................................... 15
1.5 Biology................................................................................................... 16
1.5.1 What Is Biology?..................................................................... 16
1.5.2 Subbranches of Biology.......................................................... 16
1.5.3 Origin and Evolution of Life................................................. 16
1.5.4 The Cell.................................................................................... 16
1.5.5 Differences between Bacteria and Viruses......................... 17
1.5.6 Heredity, Chromosomes, Genes, and Related Terms........ 18
1.6 Semiconductor Electronics................................................................. 18
1.6.1 What Is Semiconductor Electronics?.................................... 18
1.6.2 Energy Bands in Conductors, Semiconductors, and
Insulators................................................................................. 18
1.6.3 Interesting Properties of Semiconductors........................... 19
1.6.4 P–N Junction............................................................................ 21
1.6.5 Bipolar Junction Transistor....................................................23
1.6.6 Metal-Oxide-Semiconductor Field-Effect Transistor......... 24
1.6.7 Analog and Digital Circuits.................................................. 24
1.7 Nanometer and Appreciation of Its Magnitude..............................25
1.8 Nanoscience and Nanotechnology....................................................26
1.9 Nanomaterials and the Unusual Behavior at Nanoscales.............27
1.10 Moving toward Sensors and Transducers: Meaning of
Terms “Sensors” and “Transducers”.................................................30
1.11 Definition of Sensor Parameters and Characteristics..................... 31
1.12 Evolution of Semiconductor-Based Microsensors........................... 32
1.13 From Macrosensor to Microsensor Age and Necessity of
Nanoscale Measurements...................................................................33
1.13.1 A Miniaturized Sensor Can Accomplish Many Tasks
That a Bulky Device Cannot Perform..................................33
1.13.2 The Issue of Power Consumption........................................34
1.13.3 Low Response Times..............................................................35
1.13.4 Multi-Analyte Detection and Multifunctionality..............35
1.13.5 Sensitivity Considerations and Need of
Functionalization....................................................................36
1.13.6 Interfacing with Biomolecules..............................................36
1.13.7 Low Costs.................................................................................36
1.13.8 Possibility of a New Genre of Devices................................. 37
1.14 Definition and Classification of Nanosensors................................. 37
1.15 Physical, Chemical, and Biological Nanosensors............................39
1.16 Some Examples of Nanosensors........................................................ 41
1.16.1 Common Nanosensors........................................................... 41
1.16.2 Carbon Nanotube–Based Nanosensors............................... 41
1.16.3 Nanoscaled Thin Film Sensors............................................. 41
Contents ix
1.16.4 Microcantilever- and Nanocantilever-Enabled
Nanosensors............................................................................42
1.17 Getting Familiar with Analytical and Characterization
Tools: Microscopic Techniques to View Nanomaterials
and Nanosensors..................................................................................42
1.17.1 Scanning Electron Microscope.............................................43
1.17.2 Transmission Electron Microscope......................................44
1.17.3 Scanning Tunneling Microscope..........................................44
1.17.4 Atomic Force Microscope......................................................44
1.18 Spectroscopic Techniques for Analyzing Chemical
Composition of Nanomaterials and Nanosensors..........................46
1.18.1 Infrared Spectroscopy............................................................47
1.18.2 Ultraviolet–Visible Spectroscopy..........................................48
1.18.3 Raman Spectroscopy..............................................................49
1.18.4 Energy Dispersive X-Ray Spectroscopy..............................50
1.18.5 Auger Electron Spectroscopy................................................50
1.18.6 X-Ray Diffraction.................................................................... 51
1.18.7 X-Ray Photoelectron Spectroscopy or Electron
Spectroscopy for Chemical Analysis................................... 51
1.18.8 Secondary Ion Mass Spectrometry...................................... 51
1.19 The Displacement Nanosensor: STM................................................ 52
1.19.1 Principle of Operation............................................................ 52
1.19.2 Transmission Coefficient.......................................................54
1.19.3 Tunneling Current..................................................................60
1.19.4 Measurements with STM.......................................................63
1.19.4.1 Topography..............................................................63
1.19.4.2 Density of States......................................................64
1.19.4.3 Linecut......................................................................65
1.19.4.4 DOS Map..................................................................65
1.20 The Force Nanosensor: AFM..............................................................65
1.20.1 Operating Principle................................................................65
1.20.2 Lennard–Jones Potential and the van der
Waals Forces...........................................................................66
1.20.3 Other Forces and Potentials..................................................71
1.20.4 Force Sensor (Cantilever) and Force Measurement...........71
1.20.5 Static and Dynamic Atomic Force Microscopy..................73
1.20.6 Classification of Modes of Operation of AFM on
the Basis of Contact.................................................................75
1.20.6.1 Contact Mode...........................................................75
1.20.6.2 Noncontact Mode....................................................75
1.20.6.3 Tapping Mode (Intermittent-Contact Mode)....... 76
1.20.7 Frequency-Modulation Atomic Force Microscopy............77
1.20.8 Generic Calculation................................................................79
1.21 Outline and Organization of the Book.............................................80
1.22 Discussion and Conclusions............................................................... 81
x Contents
Review Exercises.............................................................................................82
References........................................................................................................83
2. Materials for Nanosensors...........................................................................85
2.1 Introduction..........................................................................................85
2.2 Nanoparticles or Nanoscale Particles, and Importance of
the Intermediate Regime between Atoms and Molecules,
and Bulk Matter...................................................................................85
2.3 Classification of Nanoparticles on the Basis of Their
Composition and Occurrence............................................................86
2.4 Core/Shell-Structured Nanoparticles...............................................87
2.4.1 Inorganic Core/Shell Nanoparticles....................................88
2.4.2 Organic–Inorganic Hybrid Core/Shell Nanoparticles......89
2.5 Shape Dependence of Properties at Nanoscale...............................89
2.6 Dependence of Properties of Nanoparticles on Particle Size........90
2.7 Surface Energy of a Solid....................................................................90
2.8 Metallic Nanoparticles and Plasmons.............................................. 91
2.8.1 Surface Plasmon Resonance on Bulk Metals......................92
2.8.2 Surface Plasmon Band Phenomenon in Metal
Nanoparticles..........................................................................97
2.9 Optical Properties of Bulk Metals and Metallic
Nanoparticles.......................................................................................98
2.9.1 Light Absorption by Bulk Metals and Metallic
Nanoparticles..........................................................................98
2.9.2 Light Scattering by Nanoparticles...................................... 103
2.10 Parameters Controlling the Position of Surface Plasmon
Band of Nanoparticles....................................................................... 104
2.10.1 Effect of the Surrounding Dielectric Medium.................. 104
2.10.2 Influence of Agglomeration-Preventing Ligands
and Stabilizers....................................................................... 105
2.10.3 Effect of Nanoparticle Size and Shape............................... 106
2.10.4 Compositional Effect............................................................ 106
2.11 Quantum Confinement..................................................................... 106
2.11.1 Quantum Confinement in Metals...................................... 107
2.11.2 Quantum Confinement in Semiconductors...................... 107
2.11.3 Bandgap Energies................................................................. 110
2.11.4 Bandgap Behavior Explanation by Particle-in-a-OneDimensional Box Model of Electron Behavior................. 110
2.12 Quantum Dots.................................................................................... 116
2.12.1 Fundamentals........................................................................ 116
2.12.2 Tight-Binding Approach to Optical Bandgap
(Exciton Energy) versus Quantum Dot Size..................... 118
2.12.3 Comparison of Quantum Dots with Organic
Fluorophores..........................................................................122
2.12.4 Types of Quantum Dots Depending on Composition......125
Contents xi
2.12.5 Classification of Quantum Dots Based on Structure.......125
2.12.6 Capping Molecules or Ligands on the Surfaces of
Quantum Dots....................................................................... 127
2.13 Carbon Nanotubes............................................................................. 127
2.13.1 What Are Carbon Nanotubes?............................................ 127
2.13.2 Structure of Graphene.......................................................... 129
2.13.3 Structure of SWCNT............................................................. 130
2.13.4 Mechanical Properties of CNTs.......................................... 132
2.13.5 Electrical, Electronic, and Magnetic
Properties of CNTs............................................................... 133
2.14 Inorganic Nanowires......................................................................... 134
2.15 Nanoporous Materials....................................................................... 134
2.15.1 Nanoporous Silicon.............................................................. 135
2.15.2 Nanoporous Alumina.......................................................... 137
2.15.3 Nano-Grained Thin Films................................................... 137
2.16 Discussion and Conclusions............................................................. 138
Review Exercises........................................................................................... 138
References...................................................................................................... 139
3. Nanosensor Laboratory.............................................................................. 143
3.1 Introduction........................................................................................ 143
3.2 Nanotechnology Division................................................................. 143
3.2.1 Synthesis of Metal Nanoparticles....................................... 143
3.2.1.1 Gold Nanoparticles............................................... 143
3.2.1.2 Silver Nanoparticles.............................................. 145
3.2.1.3 Platinum Nanoparticles....................................... 145
3.2.1.4 Palladium Nanoparticles..................................... 146
3.2.2 Synthesis of Semiconductor Nanoparticles...................... 146
3.2.3 Synthesis of Semiconductor Nanocrystals:
Quantum Dots....................................................................... 147
3.2.3.1 CdSe/ZnS Core/Shell QDs.................................. 148
3.2.3.2 CdSe/CdS Core/Shell QDs.................................. 148
3.2.3.3 PbS and PbS/CdS Core/Shell QDs..................... 149
3.2.4 Synthesis of Metal Oxide Nanoparticles........................... 150
3.2.5 Synthesis of Carbon Nanotubes......................................... 152
3.2.5.1 Arc Discharge Method of CNT Production...... 154
3.2.5.2 Laser Ablation Method of CNT Production...... 154
3.2.5.3 Chemical Vapor Deposition Method of
CNT Production.................................................... 155
3.2.5.4 Difficulties Faced with Carbon Nanotubes....... 156
3.3 Micro- and Nanoelectronics Division............................................. 158
3.3.1 Semiconductor Clean Room................................................ 158
3.3.2 Silicon Single Crystal Growth and Wafer Production..... 159
3.3.3 Molecular Beam Epitaxy...................................................... 160
3.3.4 Mask Making......................................................................... 160
xii Contents
3.3.5 Thermal Oxidation............................................................... 162
3.3.6 Diffusion of Impurities in a Semiconductor..................... 164
3.3.7 Ion Implantation.................................................................... 169
3.3.8 Photolithography.................................................................. 170
3.3.8.1 Physical Limits....................................................... 172
3.3.8.2 Optical Lithography.............................................. 174
3.3.8.3 Electron-Beam Lithography................................. 174
3.3.8.4 X-Ray Lithography................................................ 174
3.3.8.5 Dip-Pen Nanolithography.................................... 174
3.3.8.6 Nanoimprint Lithography................................... 175
3.3.8.7 Nanosphere Lithography..................................... 175
3.3.9 Chemical Vapor Deposition................................................ 176
3.3.10 Wet Chemical Etching and Common Etchants................ 179
3.3.11 Reactive Ion Etching............................................................. 179
3.3.12 Focused Ion Beam Etching and Deposition...................... 180
3.3.13 Metallization.......................................................................... 181
3.3.14 Dicing, Wire Bonding, and Encapsulation........................ 182
3.3.15 IC Downscaling: Special Technologies and Processes...... 183
3.3.15.1 Downscaling Trends............................................. 183
3.3.15.2 SOI-MOSFETs........................................................ 184
3.3.15.3 SIMOX Process....................................................... 185
3.3.15.4 Smart Cut Process................................................. 185
3.3.15.5 Strained Silicon Process....................................... 185
3.3.15.6 Top–Down and Bottom–Up Approaches.......... 186
3.3.15.7 DNA Electronics.................................................... 186
3.3.15.8 Spintronics.............................................................. 187
3.4 MEMS and NEMS Division.............................................................. 188
3.4.1 Surface and Bulk Micromachining.................................... 188
3.4.2 Machining by Wet and Dry Etching Techniques............. 189
3.4.3 Deep Reactive Ion Etching.................................................. 190
3.4.4 Front- and Back-Side Mask Alignment.............................. 193
3.4.5 Multiple Wafer Bonding and Glass–Silicon Bonding...... 193
3.4.6 Wafer Lapping....................................................................... 194
3.4.7 Chemical Mechanical Polishing......................................... 194
3.4.8 Electroplating........................................................................ 195
3.4.9 LIGA Process......................................................................... 195
3.4.10 Micro-Injection Molding...................................................... 196
3.4.11 Hot Embossing and Electroforming.................................. 197
3.4.12 Combination of MEMS/NEMS and CMOS Processes...... 198
3.5 Biochemistry Division....................................................................... 198
3.5.1 Surface Functionalization and Biofunctionalization
of Nanomaterials................................................................... 199
3.5.2 Immobilization of Biological Elements..............................200
3.5.3 Protocols for Attachment of Antibodies on Sensors.......204
Contents xiii
3.5.4 Functionalization of CNTs for Biological Applications......206
3.5.5 Water Solubility of Quantum Dots.....................................206
3.5.6 Low Cytotoxicity Coatings.................................................. 207
3.6 Chemistry Division............................................................................208
3.6.1 Nanoparticle Thin Film Deposition...................................208
3.6.2 Polymer Coatings in Nano Gas Sensors............................208
3.6.3 Metallic Nanoparticle Functionalization of Si
Nanowires for Gas Sensing Applications.........................209
3.7 Nanosensor Characterization Division..........................................209
3.8 Nanosensor Powering, Signal Processing, and
Communication Division.................................................................. 210
3.8.1 Power Unit............................................................................. 210
3.8.1.1 Lithium Nanobatteries......................................... 210
3.8.1.2 Self-Powered Nanogenerators............................. 211
3.8.1.3 Energy Harvesting from the Environment....... 211
3.8.1.4 Synthetic Chemical Batteries Based on
Adenosine Triphosphate...................................... 212
3.8.2 Signal Processing Unit......................................................... 212
3.8.3 Integrated Nanosensor Systems......................................... 212
3.8.4 Wireless Nanosensor Networks......................................... 213
3.9 Discussion and Conclusions............................................................. 214
Review Exercises........................................................................................... 214
References...................................................................................................... 216
4. Mechanical Nanosensors........................................................................... 219
4.1 Introduction........................................................................................ 219
4.2 Nanogram Mass Sensing by Quartz Crystal Microbalance........220
4.3 Attogram (10−18 g) and Zeptogram (10−21 g) Mass Sensing by
MEMS/NEMS Resonators................................................................223
4.3.1 Microcantilever Definitions and Theory...........................225
4.3.1.1 Resonance Frequency Formula...........................233
4.3.1.2 Deflection Formula............................................... 241
4.3.2 Energy Dissipation and Q-Factor of Cantilever............... 243
4.3.3 Noise of Cantilever and Its Mass Detection Limit........... 245
4.3.4 Doubly Clamped and Free–Free Beam Resonators......... 249
4.4 Electron Tunneling Displacement Nanosensor.............................250
4.5 Coulomb Blockade Electrometer–Based Displacement
Nanosensor......................................................................................... 252
4.5.1 Coulomb Blockade Effect..................................................... 252
4.5.2 Comparison with Tunneling Sensors................................255
4.6 Nanometer-Scale Displacement Sensing by
Single-Electron Transistor.................................................................255
4.7 Magnetomotive Displacement Nanosensor...................................258
4.8 Piezoresistive and Piezoelectric Displacement Nanosensors......258
xiv Contents
4.9 Optical Displacement Nanosensor..................................................260
4.10 Femtonewton Force Sensors Using Doubly Clamped
Suspended Carbon Nanotube Resonators..................................... 261
4.11 Suspended CNT Electromechanical Sensors for
Displacement and Force....................................................................264
4.12 Membrane-Based CNT Electromechanical Pressure Sensor.......268
4.13 Tunnel Effect Accelerometer............................................................ 269
4.13.1 Principle of Motion Detection............................................. 269
4.13.2 Construction and Working.................................................. 270
4.13.3 Micromachined Accelerometer...........................................272
4.14 NEMS Accelerometer........................................................................ 274
4.15 Silicon Nanowire Accelerometer..................................................... 275
4.16 CNT Flow Sensor for Ionic Solutions.............................................. 276
4.17 Discussion and Conclusions............................................................. 278
Review Exercises........................................................................................... 281
References......................................................................................................283
5. Thermal Nanosensors................................................................................. 287
5.1 Introduction........................................................................................ 287
5.2 Nanoscale Thermocouple Formed by Tungsten and
Platinum Nanosize Strips.................................................................288
5.3 Resistive Thermal Nanosensor Fabricated by Focused Ion
Beam Chemical Vapor Deposition...................................................289
5.4 “Carbon-Nanowire-on-Diamond” Resistive
Temperature Nanosensor.................................................................290
5.5 Carbon Nanotube Grown on Nickel Film as Resistive
Low-Temperature (10–300K) Nanosensor...................................... 291
5.6 Laterally Grown CNT between Two Microelectrodes as
Resistive Temperature Nanosensor................................................. 292
5.7 Silicon Nanowire Temperature Nanosensors: Resistors
and Diode Structures........................................................................ 295
5.8 Ratiometric Fluorescent Nanoparticles for Temperature
Sensing................................................................................................. 296
5.9 Er3+/Yb3+ Co-Doped Gd2O3 Nano-Phosphor as Temperature
Nanosensor Using Fluorescence Intensity Ratio Technique.......300
5.10 Optical Heating of Yb3+–Er3+ Co-Doped Fluoride
Nanoparticles and Distant Temperature Sensing through
Luminescence.....................................................................................303
5.11 Porphyrin-Containing Copolymer as Thermochromic
Nanosensor.........................................................................................305
5.12 Silicon-Micromachined Scanning Thermal Profiler.....................306
5.13 Superconducting Hot Electron Nanobolometers..........................308
5.14 Thermal Convective Accelerometer Using CNT Sensing
Element................................................................................................ 312
5.15 SWCNT Sensor for Airflow Measurement..................................... 313
Contents xv
5.16 Vacuum Pressure and Flow Velocity Sensors Using
Batch-Processed CNT Wall............................................................... 314
5.17 Nanogap Pirani Gauge...................................................................... 315
5.18 Carbon Nanotube–Polymer Nanocomposite as
Conductivity Response Infrared Nanosensor............................... 317
5.19 Nanocalorimetry................................................................................ 319
5.20 Discussion and Conclusions............................................................. 324
Review Exercises........................................................................................... 328
References...................................................................................................... 329
6. Optical Nanosensors...................................................................................333
6.1 Introduction........................................................................................333
6.2 Noble-Metal Nanoparticles with LSPR and UV–Visible
Spectroscopy....................................................................................... 337
6.3 Nanosensors Based on Surface-Enhanced Raman Scattering......341
6.4 Colloidal SPR Colorimetric Gold Nanoparticle
Spectrophotometric Sensor...............................................................345
6.5 Fiber-Optic Nanosensors..................................................................349
6.5.1 Fabry–Perot Reflectometric Optochemical
Nanosensor Using Optical Fibers and SWCNTs..............349
6.5.2 In-Fiber Nanocavity Sensor................................................. 352
6.5.3 Fiber-Optic Nanosensors for Probing Living Cells.........354
6.6 Nanograting-Based Optical Accelerometer................................... 357
6.7 Fluorescent pH-Sensitive Nanosensors..........................................358
6.7.1 Renewable Glass Nanopipette with Fluorescent
Dye Molecules.......................................................................358
6.7.2 Ratiometric pH Nanosensor................................................359
6.7.3 pH-Sensitive Microcapsules with Nanoparticle
Incorporation in the Walls...................................................360
6.8 Disadvantages of Optical Fiber and Fluorescent
Nanosensors for Living Cell Studies..............................................363
6.9 PEBBLE Nanosensors to Measure the Intracellular
Environment.......................................................................................364
6.10 Quantum Dots as Fluorescent Labels.............................................368
6.11 Quantum Dot FRET-Based Probes.................................................. 375
6.11.1 QD-FRET Protein Sensor..................................................... 378
6.11.2 QD-FRET Protease Sensor................................................... 379
6.11.3 QD-FRET Maltose Sensor.................................................... 379
6.11.4 Sensor for Determining the Dissociation Constant
(Kd) between Rev and RRE.................................................. 382
6.12 Electrochemiluminescent Nanosensors for Remote Detection......383
6.13 Crossed Zinc Oxide Nanorods as Resistive UV Nanosensors....386
6.14 Discussion and Conclusions............................................................. 387
Review Exercises...........................................................................................389
References......................................................................................................390