| Preface |
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xiii | |
| Acknowledgments |
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xxi | |
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1 | (32) |
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1.1 The Essence of the Technique |
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1 | (5) |
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1.2 Property Sensitive Imaging: Vertical Touching and Sliding Friction |
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6 | (7) |
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1.3 Modifying a Surface with a Tip |
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13 | (3) |
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1.4 Dynamic (or "AC" or "Tapping") Modes: Delicate Imaging with Property Sensitivity |
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16 | (5) |
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1.5 Force Curves Plus Mapping in Liquid |
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21 | (3) |
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1.6 Rate, Temperature, and Humidity-Dependent Characterization |
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24 | (4) |
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1.7 Long-Range Force Imaging Modes |
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28 | (2) |
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30 | (3) |
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31 | (2) |
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2 Distance-Dependent Interactions |
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33 | (58) |
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2.1 General Analogies and Types of Forces |
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33 | (5) |
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2.2 Van der Waals and Electrostatic Forces in a Tip-Sample System |
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38 | (6) |
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2.2.1 Dipole-Dipole Forces |
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38 | (3) |
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2.2.2 Electrostatic Forces |
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41 | (3) |
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2.3 Contact Forces and Mechanical Compliance |
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44 | (7) |
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2.4 Dynamic Probing of Distance-Dependent Forces |
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51 | (16) |
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2.4.1 Importance of Force Gradient |
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51 | (5) |
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2.4.2 Damped, Driven Oscillator: Concepts and Mathematics |
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56 | (4) |
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2.4.3 Effect of Tip-Sample Interaction on Oscillator |
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60 | (4) |
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2.4.4 Energy Dissipation in Tip-Sample Interaction |
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64 | (3) |
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2.5 Other Distance-Dependent Attraction and Repulsion: Electrostatic and Molecular Forces in Air and Liquids |
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67 | (16) |
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2.5.1 Electrostatic Forces in Liquids: Superimposed on Van der Waals Forces |
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67 | (2) |
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2.5.2 Molecular-Structure Forces in Liquids |
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69 | (3) |
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2.5.3 Macromolecular Steric Forces in Liquids |
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72 | (4) |
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2.5.4 Derjaguin Approximation: Colloid Probe AFM |
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76 | (2) |
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2.5.5 Macromolecular Extension Forces (Air and Liquid Media) |
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78 | (5) |
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83 | (8) |
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84 | (1) |
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2.6.2 Stress-Modified Thermal Activation |
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85 | (1) |
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2.6.3 Relevance to Other Topics of Chapter 2 |
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86 | (2) |
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88 | (3) |
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3 Z-Dependent Force Measurements with AFM |
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91 | (46) |
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3.1 Revisit Ideal Concept |
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91 | (2) |
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3.2 Force-Z Measurement Components: Tip/Cantilever/Laser/Photodetector/Z Scanner |
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93 | (13) |
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3.2.1 Basic Concepts and Interrelationships |
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93 | (3) |
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3.2.2 Tip-Sample Distance |
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96 | (3) |
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3.2.3 Finer Quantitative Issues in Force-Distance Measurements |
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99 | (7) |
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106 | (3) |
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109 | (4) |
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3.5 Z Scanner/Sensor Hardware: Nonidealities |
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113 | (5) |
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3.6 Additional Force-Curve Analysis Examples |
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118 | (15) |
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3.6.1 Glassy Polymer, Rigid Cantilever |
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118 | (5) |
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3.6.2 Gels, Soft Cantilever |
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123 | (3) |
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3.6.3 Molecular-Chain Bridging Adhesion |
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126 | (3) |
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3.6.4 Bias-Dependent Electrostatic Forces in Air |
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129 | (2) |
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3.6.5 Screened Electrostatic Forces in Aqueous Medium |
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131 | (2) |
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3.7 Cantilever Spring Constant Calibration |
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133 | (4) |
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135 | (2) |
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137 | (50) |
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138 | (5) |
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143 | (44) |
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4.2.1 The Basics: Block Descriptions of AFM Hardware |
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143 | (6) |
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4.2.2 The Nature of the Collected Data |
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149 | (7) |
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4.2.3 Choosing Setpoint: Effects on Tip-Sample Interaction and Thereby on Images |
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156 | (6) |
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4.2.4 Finite Response of Feedback Control System |
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162 | (5) |
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4.2.5 Realities of Piezoscanners: Use of Closed-Loop Scanning |
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167 | (13) |
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4.2.6 Shape of Tip and Surface |
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180 | (2) |
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4.2.7 Other Realities and Operational Difficulties---Variable Background, Drift, Experimental Geometry |
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182 | (4) |
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186 | (1) |
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5 Probing Material Properties I: Phase Imaging |
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187 | (71) |
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5.1 Phase Measurement as a Diagnostic of Interaction Regime and Bistability |
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189 | (13) |
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5.1.1 Phase (and Height, Amplitude) Imaging as Diagnostics |
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189 | (11) |
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5.1.2 Comments on Imaging in the Attractive Regime |
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200 | (2) |
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5.2 Complications and Caveats Regarding the Phase Measurement |
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202 | (32) |
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202 | (5) |
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5.2.2 Drift in Resonance Frequency, Phase Offset, Quality Factor, and Response Amplitude |
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207 | (4) |
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5.2.3 Change of Phase and Amplitude During Coarse Approach |
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211 | (3) |
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5.2.4 Coupling of Topography and Phase |
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214 | (7) |
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5.2.5 The Phase Electronics and Its Calibration |
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221 | (9) |
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5.2.6 Nonideality in the Resonance Spectrum |
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230 | (4) |
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5.3 Energy Dissipation Interpretation of Phase: Quantitative Analysis |
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234 | (13) |
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5.3.1 Variable A/A0 Imaging |
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235 | (5) |
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240 | (3) |
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5.3.3 Variable A/A0 via Z-Dependent Point Measurements |
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243 | (4) |
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5.4 Virial Interpretation of Phase |
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247 | (1) |
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5.5 Caveats and Data Analysis Strategies when Quantitatively Interpreting Phase Data |
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248 | (10) |
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255 | (3) |
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6 Probing Material Properties II: Adhesive Nanomechanics and Mapping Distance-Dependent Interactions |
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258 | (72) |
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6.1 General Concepts and Interrelationships |
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259 | (2) |
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6.2 Adhesive Contact Mechanics Models |
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261 | (16) |
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6.2.1 Overview and Disclaimers |
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261 | (2) |
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263 | (3) |
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6.2.3 Ranging Between JKR and DMT: The Transition Parameter λ |
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266 | (4) |
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6.2.4 The Maugis-Dugdale Model |
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270 | (3) |
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6.2.5 Other Formal Relationships Relevant to Adhesive Contact Mechanics |
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273 | (1) |
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6.2.6 Summary Comments and Caveats on Adhesive Contact Mechanics Models |
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274 | (3) |
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6.3 Capillarity, Details of Meniscus Force |
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277 | (19) |
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278 | (2) |
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6.3.2 Basic Elements of Modeling the Meniscus |
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280 | (3) |
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6.3.3 Mathematics of Meniscus Geometry and Force |
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283 | (4) |
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6.3.4 Experimental Examples of Capillarity |
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287 | (6) |
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6.3.5 Capillary Transfer Phenomena: Difficulties and Opportunities |
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293 | (3) |
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6.4 Approach-Retract Curve Mapping |
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296 | (19) |
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6.4.1 Motivation and Background |
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296 | (2) |
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6.4.2 Traditional Force-Curve Mapping |
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298 | (8) |
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6.4.3 Approach-Retract Curve Mapping in Dynamic AFM |
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306 | (7) |
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6.4.4 Approach-Retract Curve Mapping of Liquidy Domains in Complex Thin Films |
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313 | (2) |
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6.5 High-Speed/Full Site Density Force-Curve Mapping and Imaging |
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315 | (15) |
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6.5.1 Liquidy Domains in Complex Thin Films |
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317 | (2) |
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6.5.2 PBMA/PLMA Blend at Variable Ultimate Load |
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319 | (1) |
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6.5.3 PBMA/Dexamethasone Mixture at Variable Temperature |
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320 | (2) |
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6.5.4 Arborescent Styrene-Isobutylene-Styrene Block Copolymer Plus Drug Rapamycin |
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322 | (1) |
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6.5.5 Comments on "Force Modulation" Mode |
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323 | (1) |
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324 | (6) |
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7 Probing Material Properties III: Lateral Force Methods |
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330 | (49) |
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7.1 Components of Lateral Force Signal |
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330 | (6) |
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7.2 Application of Lateral Force Difference |
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336 | (7) |
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7.3 Calibration of Lateral Force |
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343 | (3) |
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7.4 Load-Dependent Friction |
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346 | (6) |
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346 | (1) |
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7.4.2 Load Stepping and Ramping Methods |
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347 | (5) |
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7.5 Variable Rate and Environmental Parameters in AFM Friction and Wear |
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352 | (12) |
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352 | (2) |
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7.5.2 Interplay of Rate, Temperature, Humidity, and Tip Chemistry in Friction |
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354 | (5) |
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7.5.3 Wear Under Variable Rate and Temperature |
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359 | (3) |
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7.5.4 Musings on the Spectroscopic Nature of Friction and Other Measurements |
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362 | (2) |
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7.6 Transverse Shear Microscopy (TSM) and Anisotropy of Shear Modulus |
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364 | (2) |
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7.7 Shear Modulation Methods |
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366 | (13) |
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7.7.1 Motivations and Terminology |
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366 | (2) |
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7.7.2 Shear Modulation During ID Lateral Scanning |
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368 | (3) |
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7.7.3 Diagnostics of Sliding Under Shear Modulation |
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371 | (1) |
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7.7.4 Complementarity of Shear Modulation Methods to TSM |
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372 | (1) |
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7.7.5 Shear Modulation Within Force Curves: Material Creep |
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373 | (2) |
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375 | (4) |
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8 Data Post-Processing and Statistical Analysis |
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379 | (21) |
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8.1 Preliminary Data Processing |
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379 | (4) |
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383 | (2) |
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385 | (11) |
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8.3.1 Slope and Surface Area Analysis |
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385 | (1) |
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8.3.2 2D-Domain Fourier Methods for Spatial Analysis |
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386 | (5) |
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8.3.3 Fourier Methods for Time-Domain Analysis |
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391 | (3) |
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8.3.4 Grain or Particle Size Analysis |
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394 | (2) |
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396 | (4) |
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398 | (2) |
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9 Advanced Dynamic Force Methods |
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400 | (37) |
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9.1 Principles of Electronic Methods Utilizing Dynamic AFM |
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401 | (13) |
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9.1.1 Shifted Dynamic Response due to Force Gradient |
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402 | (3) |
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9.1.2 Interleave Methods for Long-Range Force Probing |
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405 | (3) |
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9.1.3 Interleave-Based EFM/KFM on Different Metals and Silicon |
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408 | (4) |
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9.1.4 KFM of Organic Semiconductor, Including Cross-Technique Comparisons |
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412 | (2) |
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9.2 Methods Using Higher Vibrational Modes |
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414 | (23) |
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9.2.1 Mathematics of Beam Mechanics: The Music of AFM |
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414 | (5) |
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9.2.2 Probing Tip-Sample Interactions via Multifrequency Dynamic AFM |
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419 | (6) |
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9.2.3 Contact Resonance Methods |
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425 | (4) |
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9.2.4 Single-Pass Electric Methods |
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429 | (4) |
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433 | (4) |
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437 | (16) |
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Appendix 1 Spectral Methods for Measuring the Normal Cantilever Spring Constant K |
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437 | (6) |
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A1.1 Plan-View/Resonance Frequency Method |
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438 | (3) |
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441 | (1) |
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442 | (1) |
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Appendix 2 Derivation of Van der Waals Force-Distance Expressions |
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443 | (4) |
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Appendix 3 Derivation of Energy Dissipation Expression, Relationship to Phase |
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447 | (2) |
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Appendix 4 Relationships in Meniscus Geometry, Circular Approximation |
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449 | (4) |
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450 | (3) |
| Index |
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453 | |