About the Authors |
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xiii | |
Preface |
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xv | |
Acknowledgments |
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xix | |
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1 | (56) |
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1.1 Photothermal Spectroscopy |
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1 | (2) |
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1.2 Basic Processes in Photothermal Spectroscopy |
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3 | (2) |
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1.3 Photothermal Spectroscopy Methods |
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5 | (4) |
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1.4 Application of Photothermal Spectroscopy |
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9 | (1) |
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1.5 Illustrative History and Classification of Photothermal Spectroscopy Methods |
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10 | (38) |
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1.5.1 Nature of the Photothermal Effect |
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10 | (1) |
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1.5.2 Photoacoustic Spectroscopy |
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11 | (3) |
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1.5.3 Single-Beam Photothermal Lens Spectroscopy |
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14 | (4) |
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1.5.4 Photothermal Z-scan Technique |
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18 | (2) |
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1.5.5 Photothermal Interferometry |
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20 | (5) |
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1.5.6 Two-Beam Photothermal Lens Spectroscopy |
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25 | (2) |
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1.5.7 Photothermal Lens Microscopy |
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27 | (4) |
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1.5.8 Photothermal Deflection, Refraction, and Diffraction |
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31 | (7) |
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1.5.9 Photothermal Mirror |
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38 | (3) |
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1.5.10 Photothermal IR Microspectroscopy |
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41 | (3) |
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1.5.11 Photothermal Radiometry |
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44 | (3) |
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47 | (1) |
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1.6 Some Important Features of Photothermal Spectroscopy |
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48 | (2) |
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50 | (7) |
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2 Absorption, Energy Transfer, and Excited State Relaxation |
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57 | (50) |
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2.1 Factors Affecting Optical Absorption |
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57 | (6) |
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63 | (9) |
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2.2.1 Kinetic Treatment of Optical Transitions |
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63 | (6) |
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2.2.2 Nonradiative Transitions |
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69 | (3) |
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2.3 Excited State Relaxation |
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72 | (13) |
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2.3.1 Rotational and Vibrational Relaxation |
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73 | (5) |
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2.3.2 Electronic States and Transitions |
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78 | (2) |
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2.3.3 Electronic State Relaxation |
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80 | (5) |
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85 | (3) |
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88 | (13) |
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2.5.1 Multiphoton Absorption |
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90 | (1) |
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2.5.2 Optical Saturation of Two-Level Transitions |
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91 | (2) |
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93 | (2) |
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2.5.4 Response Times During Optical Bleaching |
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95 | (1) |
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2.5.5 Optical Bleaching of Organic Dyes |
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96 | (2) |
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2.5.6 Relaxation for Impulse Excitation |
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98 | (1) |
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2.5.7 Multiple Photon Absorption |
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99 | (2) |
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101 | (3) |
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104 | (3) |
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3 Hydrodynamic Relaxation: Heat Transfer and Acoustics |
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107 | (48) |
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107 | (1) |
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3.2 Thermodynamic and Optical Parameters in Photothermal Spectroscopy |
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108 | (3) |
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3.2.1 Enthalpy and Temperature |
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108 | (3) |
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3.2.2 Energy and Dynamic Change |
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111 | (1) |
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3.3 Conservation Equations |
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111 | (5) |
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3.4 Hydrodynamic Equations |
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116 | (2) |
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3.5 Hydrodynamic Response to Photothermal Excitation |
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118 | (8) |
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3.5.1 Solving the Hydrodynamic Equations |
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119 | (2) |
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3.5.2 Thermal Diffusion Mode |
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121 | (1) |
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3.5.3 Fourier-Laplace Solutions for the Thermal Diffusion Equation |
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122 | (2) |
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124 | (1) |
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3.5.5 Summary of Hydrodynamic Mode Solutions |
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125 | (1) |
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3.6 Density Response to Impulse Excitation |
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126 | (12) |
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3.6.1 One-Dimensional Case |
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127 | (2) |
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3.6.2 Two-Dimensional Cylindrically Symmetric Example |
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129 | (8) |
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137 | (1) |
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3.7 Solutions Including Mass Diffusion |
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138 | (5) |
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3.8 Effect of Hydrodynamic Relaxation on Temperature |
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143 | (2) |
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3.9 Thermodynamic Fluctuation |
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145 | (1) |
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3.10 Noise Equivalent Density Fluctuation |
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146 | (4) |
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150 | (1) |
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Appendix 3.A Thermodynamic Parameter Calculation |
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150 | (1) |
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Appendix 3.B Propagating Mode Impulse Response for Polar Coordinates in Infinite Media |
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151 | (2) |
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153 | (2) |
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4 Temperature Change, Thermoelastic Deformation, and Optical Elements in Homogeneous Samples |
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155 | (64) |
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4.1 Temperature Change from Gaussian Excitation Sources |
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156 | (18) |
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4.1.1 Thermal Diffusion Approximation |
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156 | (1) |
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4.1.2 Gaussian Laser Excitation of Optically Thin Samples |
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157 | (2) |
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4.1.3 Short Pulse Laser Excitation |
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159 | (1) |
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4.1.4 Continuous Laser Excitation |
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160 | (1) |
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160 | (1) |
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4.1.4.2 On-axis Temperature Change |
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161 | (1) |
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4.1.4.3 Post-excitation Cooling |
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162 | (3) |
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4.1.5 Chopped Laser Excitation |
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165 | (2) |
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4.1.6 On-axis Temperature Change for Periodic Excitation |
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167 | (1) |
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4.1.7 Gaussian Laser Excitation of Absorbing and Opaque Samples |
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168 | (1) |
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4.1.7.1 Short Pulse Laser Excitation |
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169 | (1) |
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4.1.7.2 Continuous Laser Excitation |
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170 | (1) |
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170 | (4) |
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4.2 Thermodynamic Parameters |
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174 | (6) |
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4.2.1 Thermodynamic Parameters Affecting Temperature |
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174 | (4) |
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4.2.2 Convection Heat Transfer |
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178 | (2) |
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4.3 Thermoelastic Displacement |
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180 | (2) |
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4.3.1 Continuous Laser Excitation |
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181 | (1) |
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4.3.2 Short Pulse Laser Excitation |
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182 | (1) |
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182 | (12) |
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4.4.1 Phase Shift and Optical Path Length Difference |
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184 | (1) |
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4.4.2 Phase Shift and Optical Path Length Difference Under Thermoelastic Deformation |
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185 | (4) |
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189 | (1) |
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4.4.4 Thermal Lens Focal Length |
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190 | (3) |
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193 | (1) |
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4.5 Temperature-dependent Refractive Index Change |
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194 | (10) |
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4.5.1 Density and Temperature Dependence of Refractive Index |
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195 | (4) |
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4.5.2 Population Dependence on Refractive Index |
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199 | (1) |
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200 | (3) |
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4.5.4 Other Factors Affecting Refractive Index |
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203 | (1) |
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4.6 Temperature Change and Thermoelastic Displacement from Top-hat Excitation Sources |
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204 | (2) |
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4.6.1 Temperature Change from Top-hat Excitation Sources |
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204 | (1) |
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4.6.2 Thermoelastic Displacement from Top-hat Excitation Sources |
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205 | (1) |
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206 | (9) |
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4.7.1 Excitation Beam Waist Radius Changes |
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207 | (1) |
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4.7.2 Effects of Scattering and Optically Thick Samples |
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208 | (2) |
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4.7.3 Finite Extent Sample Effects |
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210 | (1) |
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4.7.4 Accounting for Finite Cell Radius |
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211 | (4) |
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215 | (4) |
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5 Photothermal Spectroscopy in Homogeneous Samples |
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219 | (66) |
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5.1 Photothermal Interferometry |
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219 | (5) |
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5.2 Photothermal Deflection |
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224 | (15) |
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5.2.1 Deflection Angle for Pulsed Laser Excitation |
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224 | (1) |
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5.2.1.1 Collinear Probe Geometry |
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224 | (2) |
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5.2.1.2 Crossed-beam Probe Geometry |
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226 | (1) |
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5.2.2 Deflection Angle for Continuous and Chopped Laser Excitation |
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227 | (1) |
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5.2.2.1 Continuous Excitation with Parallel Probe Geometry |
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227 | (3) |
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5.2.2.2 Continuous Excitation with Crossed-probe Geometry |
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230 | (1) |
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5.2.2.3 Chopped Excitation with Parallel Probe |
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230 | (1) |
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5.2.3 Deflection Angle Detection |
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231 | (1) |
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5.2.3.1 Probe Laser Beam Waist Effect |
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231 | (3) |
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5.2.3.2 Straightedge Apparatus |
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234 | (1) |
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5.2.3.3 Position Sensing Detectors |
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235 | (1) |
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5.2.3.4 Other Methods to Detect Deflection Angle |
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236 | (2) |
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5.2.3.5 Differential Deflection Angle |
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238 | (1) |
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5.3 Thermal Lens Focal Length |
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239 | (9) |
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5.3.1 Pulsed Excitation Thermal Lens Focal Length |
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239 | (1) |
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5.3.1.1 Time-dependent Focal Length |
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239 | (1) |
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5.3.1.2 Sample Path Length Limitations |
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240 | (2) |
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5.3.1.3 Crossed-beam Arrangement |
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242 | (1) |
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5.3.2 Continuous and Chopped Excitation Thermal Lens Focal Length |
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243 | (1) |
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5.3.2.1 Continuous Excitation |
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243 | (1) |
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5.3.2.2 Sample Path Length Limitations |
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243 | (1) |
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5.3.2.3 Crossed-beam Geometry |
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244 | (1) |
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5.3.2.4 Chopped Excitation |
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245 | (1) |
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5.3.3 Focal Length for Periodic Excitation |
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245 | (3) |
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5.4 Detecting the Thermal Lens |
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248 | (10) |
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5.4.1 Signal for Symmetric Lens |
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248 | (2) |
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5.4.2 Signal for Different x and y Focal Lengths |
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250 | (3) |
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5.4.3 Lock-in Amplifier or Pulse Height Detected Signal |
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253 | (1) |
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5.4.4 Signal Development with Large Apertures |
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254 | (1) |
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5.4.5 Signal Development Based on Image Analysis and Other Optical Filters |
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255 | (3) |
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5.5 Types of Photothermal Lens Apparatuses |
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258 | (9) |
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5.5.1 Single-laser Apparatus |
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258 | (2) |
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5.5.2 Differential Single-laser Apparatus |
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260 | (1) |
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5.5.3 Two-laser Apparatus |
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261 | (6) |
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5.6 Two-laser Photothermal Lens Spectroscopy |
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267 | (2) |
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5.6.1 Excitation Wavelength Dependence in Two-laser Photothermal Spectroscopy |
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268 | (1) |
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5.7 Differential Two-laser Apparatuses |
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269 | (2) |
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271 | (12) |
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5.8.1 Probe Laser Diffraction Effects for Pulsed Excitation |
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272 | (6) |
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5.8.2 Probe Laser Diffraction Effects for Continuous Excitation |
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278 | (3) |
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5.8.3 Diffraction Effects for Single-laser Photothermal Lens |
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281 | (1) |
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5.8.4 Effect of Diffraction on the Thermal Lens Enhancement Factor |
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281 | (2) |
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283 | (2) |
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6 Analytical Measurement and Data Processing Considerations |
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285 | (62) |
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6.1 Sensitivity of Photothermal Spectroscopy |
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286 | (20) |
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6.1.1 Photothermal Lens Enhancement Factors |
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286 | (5) |
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6.1.2 Relative Sensitivity of Photothermal Lens and Deflection Spectroscopies |
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291 | (1) |
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6.1.3 Relative Sensitivity of Photothermal Lens and Photothermal Interferometry Spectroscopies |
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292 | (3) |
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6.1.4 Relating Photothermal Signals to Absorbance and Enhancement |
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295 | (1) |
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6.1.5 Intrinsic Enhancement of Two-Laser Methods |
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295 | (2) |
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6.1.6 Enhancement Limitations |
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297 | (2) |
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6.1.7 The Choice of Solvents for Photothermal Lens Measurements |
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299 | (1) |
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6.1.7.1 Aqueous Solutions of Electrolytes |
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300 | (2) |
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6.1.7.2 Aqueous Solutions of Surfactants and Water-Soluble Polymers |
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302 | (1) |
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6.1.7.3 Organo-aqueous Mixtures |
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303 | (2) |
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6.1.7 A Soret Effect in Mixed Media |
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305 | (1) |
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6.2 Optical Instrumentation for Analysis |
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306 | (10) |
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306 | (1) |
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6.2.2 Differential Measurements |
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307 | (3) |
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6.2.3 Spectroscopic Measurement |
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310 | (3) |
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313 | (3) |
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6.3 Processing Photothermal Signals |
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316 | (10) |
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6.3.1 Analog Signal Processing |
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320 | (1) |
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6.3.2 Digital Signal Processing |
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321 | (5) |
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6.4 Photothermal Data Processing |
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326 | (10) |
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6.4.1 Excitation Irradiance Curves |
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327 | (1) |
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327 | (2) |
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6.4.3 Metrological Parameters of Photothermal Lens Spectrometry |
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329 | (1) |
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6.4.3.1 Accuracy of Photothermal Lens Measurements |
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329 | (1) |
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6.4.3.2 Instrumental and Method Detection Limits |
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329 | (2) |
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6.4.3.3 Photothermal Limits of Detection |
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331 | (2) |
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6.4.3.4 Photothermal Error Curves |
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333 | (3) |
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6.5 Considerations for Trace Analysis |
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336 | (4) |
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6.5.1 Instability of Dilute Solutions |
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337 | (1) |
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6.5.2 Sources of Losses and Contamination |
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337 | (2) |
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6.5.3 Changes in Sensitivity and Selectivity Due to Chemistry at the Trace Level |
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339 | (1) |
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6.5.4 Statistical Features at the Level of Low Concentrations |
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340 | (1) |
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6.6 Tracking Down and Reducing Noise |
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340 | (2) |
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342 | (5) |
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7 Analytical Applications |
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347 | (88) |
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7.1 Areas of Analytical Application |
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347 | (1) |
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7.2 Applications to Stationary Homogeneous Samples |
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348 | (16) |
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7.2.1 Photothermal Techniques |
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348 | (3) |
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351 | (10) |
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361 | (3) |
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7.3 Application to Disperse Solutions |
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364 | (6) |
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7.3.1 Nano-sized Particles and Nanocomposite Materials |
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364 | (1) |
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7.3.2 Analysis of Biological Samples |
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365 | (5) |
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7.4 Photothermal Spectroscopy Detection in Chromatography and Flow Analysis |
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370 | (17) |
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7.4.1 Temperature Change in Flowing Samples |
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371 | (2) |
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7.4.2 Deflection Angles and Inverse Focal Lengths in Flowing Samples |
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373 | (1) |
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7.4.2.1 Isotropic and Turbulent Flow |
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373 | (2) |
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375 | (1) |
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7.4.3 Applications in Chromatography |
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376 | (7) |
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7.4.3.1 Gas Chromatography and Flowing Gas Analysis |
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383 | (1) |
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383 | (2) |
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7.4.4 Application to How Injection Analysis |
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385 | (2) |
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7.5 Photothermal Spectroscopy Detection in Capillary Electrophoresis |
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387 | (15) |
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7.5.1 Influence of Electrophoretic Flow Rate |
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389 | (4) |
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7.5.2 Effect of the Composition of the Background Electrolyte Solution on the Sensitivity |
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393 | (1) |
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394 | (8) |
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7.6 Photothermal Spectroscopy Detection in Microanalytical and Microfluidic Systems |
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402 | (2) |
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7.7 Determination of Parameters of Reactions |
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404 | (4) |
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7.7.1 Determination of Thermodynamic Parameters and Constants |
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404 | (2) |
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7.7.2 Chemical Reaction Control and Real-time Monitoring |
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406 | (1) |
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7.7.3 Kinetic Parameters of Reactions |
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406 | (2) |
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7.8 Excitation and Relaxation Kinetics |
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408 | (15) |
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7.8.1 Relaxation Kinetics and Quantum Yield Studies |
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409 | (5) |
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7.8.2 Photodynamic Irradiance-dependent Signal Studies |
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414 | (3) |
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7.8.3 Optical Bleaching in Organic Dye Molecules |
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417 | (5) |
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7.8.4 Optical Bleaching Effects in Pulsed Laser Photothermal Spectroscopy |
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422 | (1) |
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423 | (12) |
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8 Photothermal Spectroscopy of Heterogeneous Samples |
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435 | (46) |
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8.1 Types of Heterogeneity |
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435 | (1) |
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8.2 Apparatuses for Photothermal Deflection |
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436 | (1) |
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437 | (4) |
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8.3.1 Thermal Diffusion at Surfaces |
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437 | (1) |
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8.3.2 Temperature Change from Pulsed Excitation |
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438 | (1) |
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8.3.3 Temperature Change from Continuous Excitation |
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438 | (1) |
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8.3.4 Temperature Change from Periodic Excitation |
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439 | (2) |
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8.4 Thermal Diffusion in Volume Absorbing Samples |
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441 | (2) |
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8.4.1 Volume Temperature Change for Pulsed Excitation |
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441 | (1) |
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8.4.2 Periodic Excitation of Volume Absorbers |
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442 | (1) |
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8.5 Temperature Change in Layered Samples |
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443 | (6) |
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8.5.1 Periodic Excitation of Layered Samples |
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445 | (2) |
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8.5.2 Pulsed Excitation of Thick-layered Samples |
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447 | (2) |
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449 | (3) |
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8.7 Gaussian Beam Excitation of Surfaces |
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452 | (3) |
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8.8 Gaussian Beam Excitation of Transparent Materials |
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455 | (2) |
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8.9 Excitation of Layered Samples with Gaussian Beams |
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457 | (3) |
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8.10 Deflection Angles with Oscillating Gaussian Excitation |
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460 | (3) |
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8.11 Photothermal Reflection |
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463 | (1) |
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8.12 Experiment Design for Photothermal Deflection |
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463 | (2) |
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8.13 Application to Determination of Solid Material Properties |
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465 | (6) |
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466 | (2) |
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8.13.1.1 Thermo-optical Properties |
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468 | (1) |
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469 | (1) |
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470 | (1) |
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8.14 Applications to Chemical Analysis |
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471 | (5) |
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8.14.1 Application to Surface Determination and Optical Sensing Materials |
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471 | (1) |
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8.14.2 Applications to Gel and Thin-layer Chromatography |
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472 | (1) |
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8.14.3 Other Application to Applied Chemical Analysis |
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473 | (1) |
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8.14.4 Application to Biological Analysis |
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474 | (2) |
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476 | (5) |
Index |
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481 | |