| Preface |
|
xi | |
| Annotation List |
|
xiii | |
|
|
|
1 | (8) |
|
1.1 Historical Perspective |
|
|
1 | (1) |
|
1.2 Evolution Periods and Milestones |
|
|
2 | (3) |
|
1.2.1 Early Times (1987-1992) |
|
|
2 | (1) |
|
1.2.2 Exploration and Expansion (1993-1999) |
|
|
3 | (1) |
|
1.2.3 Cantilever-Tip Dynamics (2000-2006) |
|
|
4 | (1) |
|
1.2.4 Multifrequency AFM (2007 to Present) |
|
|
4 | (1) |
|
1.3 Tapping Mode or Amplitude Modulation Force Microscopy? |
|
|
5 | (1) |
|
1.4 Other Dynamic AFM Methods |
|
|
6 | (3) |
|
1.4.1 Frequency Modulation AFM |
|
|
6 | (1) |
|
1.4.2 Amplitude Modulation versus Frequency Modulation AFM |
|
|
6 | (3) |
|
2 Instrumental and Conceptual Aspects |
|
|
9 | (16) |
|
|
|
9 | (1) |
|
2.2 Amplitude Modulation AFM |
|
|
9 | (1) |
|
2.3 Elements of an Amplitude Modulation AFM |
|
|
10 | (5) |
|
2.3.1 Feedback Controller |
|
|
10 | (2) |
|
2.3.2 Optical Beam Deflection |
|
|
12 | (1) |
|
2.3.3 Other Detection Methods |
|
|
13 | (1) |
|
2.3.4 Tip-Sample Motion System |
|
|
14 | (1) |
|
2.3.5 Imaging Acquisition and Display |
|
|
14 | (1) |
|
2.4 Cantilever-Tip System |
|
|
15 | (4) |
|
|
|
16 | (1) |
|
|
|
17 | (1) |
|
2.4.3 Excitation of Cantilever-Tip Oscillations |
|
|
18 | (1) |
|
2.5 Calibration Protocols |
|
|
19 | (2) |
|
2.5.1 Optical Sensitivity |
|
|
19 | (1) |
|
2.5.2 Calibration of the Cantilever Force Constant |
|
|
20 | (1) |
|
2.5.2.1 Thermal Noise Method |
|
|
20 | (1) |
|
|
|
21 | (1) |
|
2.6 Common Experimental Curves |
|
|
21 | (2) |
|
2.6.1 Resonance Curves in Air and Liquids |
|
|
21 | (2) |
|
2.6.2 Amplitude and Phase Shift Distance Curves |
|
|
23 | (1) |
|
2.7 Displacements and Distances |
|
|
23 | (2) |
|
3 Tip-Surface Interaction Forces |
|
|
25 | (16) |
|
|
|
25 | (1) |
|
|
|
25 | (2) |
|
3.3 Contact Mechanics Forces |
|
|
27 | (3) |
|
3.3.1 Derjaguin-Muller-Toporov Model |
|
|
29 | (1) |
|
3.3.2 Johnson-Kendall-Roberts Model |
|
|
30 | (1) |
|
|
|
30 | (2) |
|
|
|
32 | (3) |
|
3.5.1 Electrostatic Double-Layer Force |
|
|
32 | (1) |
|
3.5.2 Derjaguin-Landau-Verwey-Overbeek Forces |
|
|
33 | (1) |
|
|
|
34 | (1) |
|
3.5.4 Other Forces in Aqueous Solutions |
|
|
35 | (1) |
|
|
|
35 | (1) |
|
3.7 Nonconservative Forces |
|
|
36 | (2) |
|
3.8 Net Tip-Surface Force |
|
|
38 | (3) |
|
3.8.1 Tip-Surface Force for a Stiff Material with Surface Adhesion Hysteresis |
|
|
38 | (1) |
|
3.8.2 Tip-Surface Force for a Viscoelastic Material |
|
|
39 | (2) |
|
4 Theory of Amplitude Modulation AFM |
|
|
41 | (18) |
|
|
|
41 | (1) |
|
|
|
42 | (1) |
|
4.3 The Point-Mass Model: Elemental Aspects |
|
|
43 | (5) |
|
4.3.1 The Harmonic Oscillator |
|
|
44 | (2) |
|
4.3.2 Dynamics of a Weakly Perturbed Harmonic Oscillator |
|
|
46 | (2) |
|
4.4 The Point-Mass Model: Analytical Approximations |
|
|
48 | (4) |
|
4.4.1 Perturbed Harmonic Oscillator |
|
|
49 | (1) |
|
|
|
50 | (1) |
|
4.4.3 Virial Dissipation Method |
|
|
51 | (1) |
|
4.5 Peak and Average Forces |
|
|
52 | (2) |
|
|
|
53 | (1) |
|
|
|
53 | (1) |
|
4.6 The Point-Mass Model: Numerical Solutions |
|
|
54 | (2) |
|
4.6.1 Attractive and Repulsive Interaction Regimes |
|
|
55 | (1) |
|
4.6.2 Driving the Cantilever Below Resonance |
|
|
56 | (1) |
|
|
|
56 | (3) |
|
Appendix: The Runge-Kutta Algorithm |
|
|
56 | (3) |
|
5 Advanced Theory of Amplitude Modulation AFM |
|
|
59 | (18) |
|
|
|
59 | (1) |
|
|
|
59 | (3) |
|
|
|
62 | (2) |
|
5.4 Continuous Cantilever Beam Model |
|
|
64 | (3) |
|
5.4.1 One-Dimensional Model |
|
|
64 | (3) |
|
5.5 Equivalence between Point-Mass and Continuous Models |
|
|
67 | (2) |
|
5.6 Systems Theory Description |
|
|
69 | (1) |
|
5.7 Force Reconstruction Methods: Force versus Distance |
|
|
70 | (3) |
|
|
|
70 | (1) |
|
|
|
71 | (2) |
|
|
|
73 | (4) |
|
|
|
74 | (1) |
|
5.8.2 Higher Harmonics Method |
|
|
74 | (2) |
|
5.8.3 Direct Time-Resolved Force Measurements |
|
|
76 | (1) |
|
6 Amplitude Modulation AFM in Liquid |
|
|
77 | (14) |
|
|
|
77 | (1) |
|
6.2 Qualitative Aspects of the Cantilever Dynamics in Liquid |
|
|
77 | (3) |
|
6.2.1 Dynamics Far from the Surface |
|
|
77 | (1) |
|
6.2.2 Dynamics Close to the Surface |
|
|
78 | (2) |
|
6.3 Interaction Forces in Liquid |
|
|
80 | (2) |
|
6.4 Some Experimental and Conceptual Considerations |
|
|
82 | (2) |
|
6.5 Theoretical Descriptions of Dynamic AFM in Liquid |
|
|
84 | (7) |
|
6.5.1 Analytical Descriptions: Far from the Surface |
|
|
84 | (3) |
|
6.5.2 Analytical and Numerical Descriptions in the Presence of Tip-Surface Forces |
|
|
87 | (1) |
|
6.5.3 Semianalytical Models |
|
|
87 | (2) |
|
6.5.4 Finite Element Simulations |
|
|
89 | (2) |
|
7 Phase Imaging Atomic Force Microscopy |
|
|
91 | (12) |
|
|
|
91 | (1) |
|
7.2 Phase Imaging Atomic Force Microscopy |
|
|
91 | (4) |
|
7.3 Theory of Phase Imaging AFM |
|
|
95 | (3) |
|
7.3.1 Phase Imaging Atomic AFM: High Q |
|
|
95 | (2) |
|
7.3.2 Phase Imaging AFM: Low Q |
|
|
97 | (1) |
|
7.4 Energy Dissipation Measurements at the Nanoscale |
|
|
98 | (5) |
|
7.4.1 Energy Dissipation and Observables |
|
|
98 | (1) |
|
7.4.2 Identification of Energy Dissipation Processes |
|
|
99 | (1) |
|
7.4.3 Atomic and Nanoscale Dissipation Processes |
|
|
100 | (3) |
|
8 Resolution, Noise, and Sensitivity |
|
|
103 | (14) |
|
|
|
103 | (1) |
|
|
|
103 | (5) |
|
8.2.1 Vertical Resolution and Noise |
|
|
104 | (2) |
|
|
|
106 | (2) |
|
8.3 Image Distortion and Surface Reconstruction |
|
|
108 | (1) |
|
8.4 Force-Induced Surface Deformations |
|
|
109 | (2) |
|
8.5 Atomic, Molecular, and Subnanometer Lateral Resolution |
|
|
111 | (2) |
|
|
|
112 | (1) |
|
8.6 High-Resolution Imaging of Isolated Molecules |
|
|
113 | (1) |
|
8.7 Conditions for High-Resolution Imaging |
|
|
113 | (1) |
|
|
|
114 | (3) |
|
9 Multifrequency Atomic Force Microscopy |
|
|
117 | (12) |
|
|
|
117 | (1) |
|
9.2 Normal Modes and Harmonics |
|
|
117 | (5) |
|
9.2.1 Generation of Higher Harmonics |
|
|
117 | (3) |
|
9.2.2 Coupling Eigenmodes and Harmonics |
|
|
120 | (1) |
|
9.2.3 Imaging Beyond the Fundamental Mode |
|
|
121 | (1) |
|
|
|
122 | (3) |
|
9.3.1 Intermodulation Frequencies |
|
|
124 | (1) |
|
9.4 Mode-Synthesizing Atomic Force Microscopy |
|
|
125 | (1) |
|
9.5 Torsional Harmonic AFM |
|
|
126 | (1) |
|
|
|
127 | (2) |
|
10 Beyond Topographic Imaging |
|
|
129 | (10) |
|
|
|
129 | (1) |
|
10.2 Scattering Near-Field Optical Microscopy |
|
|
129 | (3) |
|
10.3 Topography and Recognition Imaging |
|
|
132 | (2) |
|
10.3.1 Tip Functionalization |
|
|
133 | (1) |
|
10.4 Nanofabrication by AFM |
|
|
134 | (5) |
|
10.4.1 AFM Oxidation Nanolithography |
|
|
134 | (2) |
|
10.4.2 Patterning and Devices |
|
|
136 | (3) |
| References |
|
139 | (36) |
| Index |
|
175 | |