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1 | (14) |
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1.1 Introduction to Scanning Tunneling Microscopy |
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4 | (3) |
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1.2 Introduction to Atomic Force Microscopy |
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7 | (3) |
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1.3 A Short History of Scanning Probe Microscopy |
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10 | (1) |
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11 | (4) |
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Part I Scanning Probe Microscopy Instrumentation |
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15 | (16) |
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2.1 Free Harmonic Oscillator |
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15 | (2) |
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2.2 Driven Harmonic Oscillator |
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17 | (2) |
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2.3 Driven Harmonic Oscillator with Damping |
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19 | (4) |
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2.4 Transients of Oscillations |
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23 | (2) |
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2.5 Dissipation and Quality Factor of a Damped Driven Harmonic Oscillator |
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25 | (1) |
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2.6 Effective Mass of a Harmonic Oscillator |
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26 | (2) |
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2.7 Linear Differential Equations |
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28 | (1) |
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29 | (2) |
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3 Technical Aspects of Scanning Probe Microscopy |
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31 | (34) |
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31 | (3) |
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3.2 Extensions of Piezoelectric Actuators |
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34 | (3) |
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3.3 Piezoelectric Materials |
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37 | (2) |
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39 | (6) |
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3.4.1 Resonance Frequencies of Piezo Tubes |
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43 | (2) |
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3.5 Flexure-Guided Piezo Nanopositioning Stages |
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45 | (1) |
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3.6 Non-linearities and Hysteresis Effects of Piezoelectric Actuators |
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46 | (4) |
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46 | (3) |
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49 | (1) |
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50 | (1) |
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50 | (2) |
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52 | (9) |
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3.8.1 Isolation of the Microscope from Outer Vibrations |
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52 | (4) |
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3.8.2 The Microscope Considered as a Vibrating System |
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56 | (2) |
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3.8.3 Combining Vibration Isolation and a Microscope with High Resonance Frequency |
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58 | (3) |
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61 | (2) |
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63 | (2) |
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4 Scanning Probe Microscopy Designs |
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65 | (12) |
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65 | (1) |
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66 | (5) |
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71 | (1) |
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72 | (1) |
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73 | (2) |
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75 | (1) |
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75 | (2) |
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5 Electronics for Scanning Probe Microscopy |
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77 | (24) |
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77 | (1) |
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5.2 Impedance, Transfer Function, and Bode Plot |
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78 | (2) |
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5.3 Output Resistance/Input Resistance |
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80 | (1) |
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81 | (1) |
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5.5 Operational Amplifiers |
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82 | (4) |
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5.5.1 Voltage Follower/Impedance Converter |
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83 | (1) |
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84 | (2) |
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86 | (2) |
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88 | (3) |
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5.7.1 Proportional Controller |
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89 | (1) |
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5.7.2 Proportional-Integral Controller |
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90 | (1) |
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5.8 Feedback Controller in STM |
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91 | (3) |
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5.9 Implementation of an STM Feedback Controller |
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94 | (2) |
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5.10 Digital-to-Analog Converter |
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96 | (1) |
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5.11 Analog-to-Digital Converter |
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97 | (1) |
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5.12 High-Voltage Amplifier |
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98 | (1) |
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99 | (2) |
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101 | (6) |
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6.1 Lock-In Amplifier---Principle of Operation |
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101 | (4) |
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105 | (2) |
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7 Data Representation and Image Processing |
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107 | (8) |
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107 | (5) |
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112 | (1) |
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113 | (1) |
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114 | (1) |
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115 | (8) |
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8.1 Tip-Related Artifacts |
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115 | (4) |
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119 | (2) |
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121 | (2) |
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9 Work Function, Contact Potential, and Kelvin Probe Scanning Force Microscopy |
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123 | (12) |
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123 | (1) |
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9.2 Effect of a Surface on the Work Function |
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124 | (2) |
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9.3 Surface Charges and External Electric Fields |
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126 | (3) |
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129 | (1) |
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9.5 Measurement of Work Function by the Kelvin Method |
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129 | (2) |
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9.6 Kelvin Probe Scanning Force Microscopy (KFM) |
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131 | (1) |
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132 | (3) |
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135 | (10) |
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10.1 Surface States in a One-Dimensional Crystal |
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135 | (4) |
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10.2 Surface States in 3D Crystals |
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139 | (1) |
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10.3 Surface States Within the Tight Binding Model |
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140 | (1) |
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141 | (4) |
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Part II Atomic Force Microscopy (AFM) |
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11 Forces Between Tip and Sample |
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145 | (12) |
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145 | (4) |
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149 | (6) |
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155 | (2) |
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12 Technical Aspects of Atomic Force Microscopy (AFM) |
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157 | (20) |
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12.1 Requirements for Force Sensors |
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157 | (2) |
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12.2 Fabrication of Cantilevers |
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159 | (2) |
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12.3 Beam Deflection Atomic Force Microscopy |
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161 | (4) |
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12.3.1 Sensitivity of the Beam Deflection Method |
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162 | (2) |
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12.3.2 Detection Limit of the Beam Deflection Method |
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164 | (1) |
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12.4 Other Detection Methods |
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165 | (2) |
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12.5 Calibration of AFM Measurements |
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167 | (8) |
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12.5.1 Experimental Determination of the Sensitivity Factor in AFM |
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167 | (1) |
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12.5.2 Calculation of the Spring Constant from the Geometrical Data of the Cantilever |
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168 | (2) |
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12.5.3 Sader Method for the Determination of the Spring Constant of a Cantilever |
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170 | (1) |
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12.5.4 Thermal Method for the Determination of the Spring Constant of a Cantilever |
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170 | (4) |
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12.5.5 Experimental Determination of the Sensitivity and Spring Constant in AFM Without Tip-Sample Contact |
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174 | (1) |
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175 | (2) |
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13 Static Atomic Force Microscopy |
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177 | (10) |
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13.1 Principles of Static Atomic Force Microscopy |
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177 | (2) |
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13.2 Properties of Static AFM Imaging |
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179 | (1) |
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13.3 Constant Height Mode in Static AFM |
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180 | (1) |
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13.4 Friction Force Microscopy (FFM) |
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181 | (1) |
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13.5 Force-Distance Curves |
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182 | (4) |
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186 | (1) |
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14 Amplitude Modulation (AM) Mode in Dynamic Atomic Force Microscopy |
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187 | (18) |
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14.1 Parameters of Dynamic Atomic Force Microscopy |
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187 | (1) |
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14.2 Principles of Dynamic Atomic Force Microscopy I (Amplitude Modulation) |
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188 | (5) |
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14.3 Amplitude Modulation (AM) Detection Scheme in Dynamic Atomic Force Microscopy |
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193 | (3) |
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14.4 Experimental Realization of the AM Detection Mode |
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196 | (2) |
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14.5 Time Constant in AM Detection |
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198 | (2) |
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14.6 Dissipative Interactions in Non-contact AFM in the Small Amplitude Limit |
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200 | (3) |
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14.7 Dependence of the Phase on the Damping and on the Force Gradient |
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203 | (1) |
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204 | (1) |
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15 Intermittent Contact Mode/Tapping Mode |
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205 | (18) |
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15.1 Atomic Force Microscopy with Large Oscillation Amplitudes |
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205 | (6) |
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15.2 Resonance Curve for an Anharmonic Force-Distance Dependence |
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211 | (2) |
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15.3 Amplitude Instabilities for an Anharmonic Oscillator |
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213 | (4) |
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15.4 Energy Dissipation in Dynamic Atomic Force Microscopy |
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217 | (3) |
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15.5 Properties of the Intermittent Contact Mode/Tapping Mode |
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220 | (1) |
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221 | (2) |
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16 Mapping of Mechanical Properties Using Force-Distance Curves |
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223 | (6) |
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16.1 Principles of Force-Distance Curve Mapping |
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223 | (3) |
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16.2 Mapping of the Mechanical Properties of the Sample |
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226 | (1) |
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227 | (2) |
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17 Frequency Modulation (FM) Mode in Dynamic Atomic Force Microscopy---Non-contact Atomic Force Microscopy |
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229 | (26) |
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17.1 Principles of Dynamic Atomic Force Microscopy II |
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229 | (9) |
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17.1.1 Expression for the Frequency Shift |
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232 | (3) |
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17.1.2 Normalized Frequency Shift in the Large Amplitude Limit |
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235 | (3) |
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17.1.3 Recovery of the Tip-Sample Force |
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238 | (1) |
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17.2 Experimental Realization of the FM Detection Scheme |
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238 | (12) |
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17.2.1 Self-excitation Mode |
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238 | (6) |
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17.2.2 Frequency Detection with a Phase-Locked Loop (PLL) |
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244 | (4) |
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248 | (2) |
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17.3 The Non-monotonous Frequency Shift in AFM |
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250 | (1) |
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17.4 Comparison of Different AFM Modes |
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251 | (1) |
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252 | (3) |
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18 Noise in Atomic Force Microscopy |
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255 | (14) |
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18.1 Thermal Noise Density of a Harmonic Oscillator |
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255 | (3) |
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18.2 Thermal Noise in the Static AFM Mode |
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258 | (1) |
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18.3 Thermal Noise in the Dynamic AFM Mode with AM Detection |
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258 | (2) |
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18.4 Thermal Noise in Dynamic AFM with FM Detection |
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260 | (2) |
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18.5 Sensor Displacement Noise in the FM Detection Mode |
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262 | (1) |
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18.6 Total Noise in the FM Detection Mode |
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263 | (1) |
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18.7 Comparison to Noise in STM |
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264 | (1) |
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18.8 Signal-to-Noise Ratio in Atomic Force Microscopy FM Detection |
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265 | (2) |
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267 | (2) |
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19 Quartz Sensors in Atomic Force Microscopy |
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269 | (10) |
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19.1 Tuning Fork Quartz Sensor |
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269 | (1) |
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19.2 Quartz Needle Sensor |
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270 | (3) |
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19.3 Determination of the Sensitivity of Quartz Sensors |
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273 | (2) |
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275 | (4) |
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Part III Scanning Tunneling Microscopy and Spectroscopy |
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20 Scanning Tunneling Microscopy |
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279 | (30) |
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20.1 One-Dimensional Potential Barrier Model |
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279 | (5) |
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20.2 Flux of Matter and Charge in Quantum Mechanics |
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284 | (2) |
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20.3 The WKB Approximation for Tunneling |
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286 | (2) |
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288 | (1) |
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20.5 Bardeen Model for Tunneling |
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289 | (13) |
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20.5.1 Energy-Dependent Approximation of the Bardeen Model |
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292 | (10) |
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20.5.2 Tersoff-Hamann Approximation of the Bardeen Model |
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300 | |
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20.6 Constant Current Mode and Constant Height Mode |
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302 | (2) |
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20.7 Voltage-Dependent Imaging |
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304 | (2) |
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306 | (3) |
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21 Scanning Tunneling Spectroscopy (STS) |
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309 | (26) |
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21.1 Scanning Tunneling Spectroscopy---Overview |
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309 | (1) |
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21.2 Experimental Realization of Spectroscopy with STM |
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310 | (3) |
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21.3 Normalized Differential Conductance |
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313 | (3) |
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21.4 Relation Between Differential Conductance and the Density of States |
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316 | (3) |
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21.5 Recovery of the Density of States |
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319 | (3) |
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21.6 Asymmetry in the Tunneling Spectra |
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322 | (2) |
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21.7 Beyond the ID Barrier Approximation |
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324 | (1) |
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21.8 Energy Resolution in Scanning Tunneling Spectroscopy |
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324 | (3) |
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21.9 Barrier Height Spectroscopy |
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327 | (2) |
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329 | (1) |
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21.11 Spectroscopic Imaging |
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330 | (3) |
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21.11.1 Example: Spectroscopy of the Si(7 x 7) Surface |
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330 | (3) |
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333 | (2) |
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22 Vibrational Spectroscopy with the STM |
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335 | (6) |
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22.1 Principles of Inelastic Tunneling Spectroscopy with the STM |
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335 | (2) |
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22.2 Examples of Vibrational Spectra Obtained with the STM |
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337 | (3) |
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340 | (1) |
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23 Spectroscopy and Imaging of Surface States |
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341 | (8) |
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23.1 Energy Dependence of the Density of States in Two, One and Zero Dimensions |
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341 | (4) |
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23.2 Scattering of Surface State Electrons at Surface Defects |
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345 | (2) |
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347 | (2) |
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24 Building Nanostructures Atom by Atom |
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349 | (10) |
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24.1 Positioning of Single Atoms and Molecules by STM |
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349 | (5) |
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24.2 Electron Confinement in Nanoscale Cages |
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354 | (2) |
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24.3 Inducing a Single Molecule Chemical Reaction with the STM Tip |
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356 | (1) |
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357 | (2) |
Appendix A Horizontal Piezo Constant for a Tube Piezo Element |
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359 | (4) |
Appendix B Fermi's Golden Rule and Bardeen's Matrix Elements |
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363 | (8) |
Appendix C Frequency Noise in FM Detection |
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371 | (4) |
References |
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375 | (2) |
Index |
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377 | |