Preface |
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xiii | |
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xv | |
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PART I POTENTIAL AND CHARGE AT INTERFACES |
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1 | (162) |
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1 Potential and Charge of a Hard Particle |
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3 | (44) |
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3 | (1) |
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1.2 The Poisson-Boltzmann Equation |
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3 | (3) |
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6 | (10) |
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8 | (1) |
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1.3.2 Arbitrary Potential: Symmetrical Electrolyte |
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8 | (5) |
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1.3.3 Arbitrary Potential: Asymmetrical Electrolyte |
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13 | (1) |
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1.3.4 Arbitrary Potential: General Electrolyte |
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14 | (2) |
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16 | (15) |
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17 | (1) |
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1.4.2 Surface Charge Density-Surface Potential Relationship: Symmetrical Electrolyte |
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18 | (3) |
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1.4.3 Surface Charge Density-Surface Potential Relationship: Asymmetrical Electrolyte |
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21 | (1) |
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1.4.4 Surface Charge Density-Surface Potential Relationship: General Electrolyte |
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22 | (3) |
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1.4.5 Potential Distribution Around a Sphere with Arbitrary Potential |
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25 | (6) |
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31 | (6) |
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32 | (1) |
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1.5.2 Arbitrary Potential: Symmetrical Electrolyte |
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33 | (1) |
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1.5.3 Arbitrary Potential: General Electrolytes |
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34 | (3) |
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1.6 Asymptotic Behavior of Potential and Effective Surface Potential |
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37 | (6) |
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38 | (3) |
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41 | (1) |
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42 | (1) |
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1.7 Nearly Spherical Particle |
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43 | (2) |
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45 | (2) |
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2 Potential Distribution Around a Nonuniformly Charged Surface and Discrete Charge Effects |
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47 | (16) |
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47 | (1) |
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2.2 The Poisson-Boltzmann Equation for a Surface with an Arbitrary Fixed Surface Charge Distribution |
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47 | (9) |
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2.3 Discrete Charge Effect |
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56 | (6) |
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62 | (1) |
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3 Modified Poisson-Boltzmann Equation |
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63 | (20) |
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63 | (1) |
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3.2 Electrolyte Solution Containing Rod-like Divalent Cations |
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63 | (7) |
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3.3 Electrolyte Solution Containing Rod-like Zwitterions |
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70 | (7) |
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3.4 Self-atmosphere Potential of Ions |
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77 | (5) |
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82 | (1) |
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4 Potential and Charge of a Soft Particle |
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83 | (28) |
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83 | (1) |
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83 | (10) |
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4.2.1 Poisson-Boltzmann Equation |
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83 | (4) |
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4.2.2 Potential Distribution Across a Surface Charge Layer |
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87 | (3) |
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4.2.3 Thick Surface Charge Layer and Donnan Potential |
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90 | (1) |
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4.2.4 Transition Between Donnan Potential and Surface Potential |
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91 | (1) |
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4.2.5 Donnan Potential in a General Electrolyte |
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92 | (1) |
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4.3 Spherical Soft Particle |
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93 | (7) |
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4.3.1 Low Charge Density Case |
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93 | (2) |
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4.3.2 Surface Potential-Donnan Potential Relationship |
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95 | (5) |
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4.4 Cylindrical Soft Particle |
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100 | (2) |
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4.4.1 Low Charge Density Case |
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100 | (1) |
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4.4.2 Surface Potential-Donnan Potential Relationship |
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101 | (1) |
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4.5 Asymptotic Behavior of Potential and Effective Surface Potential of a Soft Particle |
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102 | (2) |
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102 | (1) |
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103 | (1) |
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104 | (1) |
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4.6 Nonuniformly Charged Surface Layer: Isoelectric Point |
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104 | (6) |
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110 | (1) |
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5 Free Energy of a Charged Surface |
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111 | (21) |
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111 | (1) |
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5.2 Helmholtz Free Energy and Tension of a Hard Surface |
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111 | (7) |
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5.2.1 Charged Surface with Ion Adsorption |
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111 | (5) |
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5.2.2 Charged Surface with Dissociable Groups |
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116 | (2) |
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5.3 Calculation of the Free Energy of the Electrical Double Layer |
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118 | (4) |
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119 | (1) |
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120 | (1) |
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121 | (1) |
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5.4 Alternative Expression for Fel |
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122 | (1) |
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5.5 Free Energy of a Soft Surface |
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123 | (7) |
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123 | (4) |
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5.5.2 Expressions for the Double-Layer Free Energy for a Planar Soft Surface |
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127 | (1) |
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5.5.3 Soft Surface with Dissociable Groups |
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128 | (2) |
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130 | (2) |
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6 Potential Distribution Around a Charged Particle in a Salt-Free Medium |
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132 | (31) |
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132 | (1) |
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133 | (10) |
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143 | (3) |
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6.4 Effects of a Small Amount of Added Salts |
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146 | (6) |
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6.5 Spherical Soft Particle |
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152 | (10) |
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162 | (1) |
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PART II INTERACTION BETWEEN SURFACES |
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163 | (268) |
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7 Electrostatic Interaction of Point Charges in an Inhomogeneous Medium |
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165 | (21) |
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165 | (1) |
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166 | (14) |
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180 | (5) |
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185 | (1) |
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8 Force and Potential Energy of the Double-Layer Interaction Between Two Charged Colloidal Particles |
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186 | (17) |
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186 | (1) |
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8.2 Osmotic Pressure and Maxwell Stress |
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186 | (2) |
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8.3 Direct Calculation of Interaction Force |
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188 | (10) |
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8.4 Free Energy of Double-Layer Interaction |
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198 | (3) |
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8.4.1 Interaction at Constant Surface Charge Density |
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199 | (1) |
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8.4.2 Interaction at Constants Surface Potential |
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200 | (1) |
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8.5 Alternative Expression for the Electric Part of the Free Energy of Double-Layer Interaction |
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201 | (1) |
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8.6 Charge Regulation Model |
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201 | (1) |
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202 | (1) |
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9 Double-Layer Interaction Between Two Parallel Similar Plates |
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203 | (38) |
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203 | (1) |
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9.2 Interaction Between Two Parallel Similar Plates |
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203 | (4) |
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207 | (7) |
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9.3.1 Interaction at Constant Surface Charge Density |
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208 | (3) |
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9.3.2 Interaction at Constant Surface Potential |
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211 | (3) |
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9.4 Arbitrary Potential Case |
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214 | (12) |
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9.4.1 Interaction at Constant Surface Charge Density |
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214 | (10) |
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9.4.2 Interaction at Constant Surface Potential |
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224 | (2) |
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9.5 Comparison Between the Theory of Derjaguin and Landau and the Theory of Verwey and Overbeek |
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226 | (1) |
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9.6 Approximate Analytic Expressions for Moderate Potentials |
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227 | (4) |
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9.7 Alternative Method of Linearization of the Poisson-Boltzmann Equation |
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231 | (9) |
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9.7.1 Interaction at Constant Surface Potential |
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231 | (3) |
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9.7.2 Interaction at Constant Surface Charge Density |
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234 | (6) |
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240 | (1) |
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10 Electrostatic Interaction Between Two Parallel Dissimilar Plates |
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241 | (24) |
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241 | (1) |
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10.2 Interaction Between Two Parallel Dissimilar Plates |
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241 | (3) |
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244 | (8) |
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10.3.1 Interaction at Constant Surface Charge Density |
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244 | (7) |
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10.3.2 Interaction at Constant Surface Potential |
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251 | (1) |
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252 | (1) |
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10.4 Arbitrary Potential: Interaction at Constant Surface Charge Density |
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252 | (10) |
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252 | (6) |
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10.4.2 Interaction Energy |
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258 | (4) |
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10.5 Approximate Analytic Expressions for Moderate Potentials |
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262 | (1) |
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263 | (2) |
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11 Linear Superposition Approximation for the Double-Layer Interaction of Particles at Large Separations |
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265 | (18) |
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265 | (1) |
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265 | (13) |
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265 | (5) |
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270 | (6) |
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11.2.3 Hypothetical Charge |
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276 | (2) |
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278 | (1) |
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279 | (2) |
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281 | (2) |
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12 Derjaguin's Approximation at Small Separations |
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283 | (15) |
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283 | (1) |
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283 | (9) |
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285 | (1) |
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12.2.2 Moderate Potentials |
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286 | (2) |
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12.2.3 Arbitrary Potentials: Derjaguin's Approximation Combined with the Linear Superposition Approximation |
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288 | (2) |
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12.2.4 Curvature Correction to Derjaguin' Approximation |
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290 | (2) |
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12.3 Two Parallel Cylinders |
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292 | (2) |
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12.4 Two Crossed Cylinders |
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294 | (3) |
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297 | (1) |
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13 Donnan Potential-Regulated Interaction Between Porous Particles |
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298 | (25) |
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298 | (1) |
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13.2 Two Parallel Semi-infinite Ion-penetrable Membranes (Porous Plates) |
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298 | (8) |
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306 | (4) |
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13.4 Two Parallel Porous Cylinders |
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310 | (1) |
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13.5 Two Parallel Membranes with Arbitrary Potentials |
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311 | (9) |
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13.5.1 Interaction Force and Isodynamic Curves |
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311 | (6) |
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13.5.2 Interaction Energy |
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317 | (3) |
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13.6 pH Dependence of Electrostatic Interaction Between Ion-penetrable Membranes |
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320 | (2) |
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322 | (1) |
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14 Series Expansion Representations for the Double-Layer Interaction Between Two Particles |
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323 | (34) |
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323 | (1) |
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323 | (4) |
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327 | (15) |
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342 | (6) |
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14.5 Two Parallel Cylinders |
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348 | (5) |
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353 | (3) |
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356 | (1) |
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15 Electrostatic Interaction Between Soft Particles |
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357 | (18) |
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357 | (1) |
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15.2 Interaction Between Two Parallel Dissimilar Soft Plates |
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357 | (6) |
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15.3 Interaction Between Two Dissimilar Soft Spheres |
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363 | (6) |
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15.4 Interaction Between Two Dissimilar Soft Cylinders |
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369 | (5) |
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374 | (1) |
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16 Electrostatic Interaction Between Nonuniformly Charged Membranes |
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375 | (6) |
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375 | (1) |
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375 | (1) |
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376 | (2) |
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16.4 Isoelectric Points with Respect To Electrolyte Concentration |
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378 | (2) |
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380 | (1) |
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17 Electrostatic Repulsion Between Two Parallel Soft Plates After Their Contact |
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381 | (7) |
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381 | (1) |
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17.2 Repulsion Between Intact Brushes |
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381 | (1) |
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17.3 Repulsion Between Compressed Brushes |
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382 | (5) |
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387 | (1) |
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18 Electrostatic Interaction Between Ion-Penetrable Membranes In a Salt-free Medium |
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388 | (11) |
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388 | (1) |
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18.2 Two Parallel Hard Plates |
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388 | (3) |
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18.3 Two Parallel Ion-Penetrable Membranes |
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391 | (7) |
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398 | (1) |
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19 van der Waals Interaction Between Two Particles |
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399 | (21) |
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399 | (1) |
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399 | (2) |
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19.3 A Molecule and a Plate |
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401 | (1) |
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402 | (2) |
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19.5 A Molecule and a Sphere |
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404 | (1) |
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405 | (2) |
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19.7 A Molecule and a Rod |
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407 | (1) |
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408 | (1) |
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19.9 A Molecule and a Cylinder |
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408 | (2) |
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19.10 Two Parallel Cylinders |
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410 | (2) |
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19.11 Two Crossed Cylinders |
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412 | (1) |
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412 | (1) |
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19.13 Two Parallel Torus-Shaped Particles |
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413 | (4) |
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19.14 Two Particles Immersed In a Medium |
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417 | (1) |
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19.15 Two Parallel Plates Covered with Surface Layers |
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418 | (1) |
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419 | (1) |
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20 DLVO Theory of Colloid Stability |
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420 | (11) |
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420 | (1) |
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20.2 Interaction Between Lipid Bilayers |
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420 | (5) |
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20.3 Interaction Between Soft Spheres |
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425 | (4) |
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429 | (2) |
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PART III ELECTROKINETIC PHENOMENA AT INTERFACES |
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431 | (102) |
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21 Electrophoretic Mobility of Soft Particles |
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433 | (35) |
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433 | (1) |
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21.2 Brief Summary of Electrophoresis of Hard Particles |
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433 | (2) |
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21.3 General Theory of Electrophoretic Mobility of Soft Particles |
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435 | (5) |
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21.4 Analytic Approximations for the Electrophoretic Mobility of Spherical Soft Particles |
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440 | (9) |
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21.4.1 Large Spherical Soft Particles |
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440 | (4) |
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21.4.2 Weakly Charged Spherical Soft Particles |
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444 | (3) |
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21.4.3 Cylindrical Soft Particles |
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447 | (2) |
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21.5 Electrokinetic Flow Between Two Parallel Soft Plates |
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449 | (5) |
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21.6 Soft Particle Analysis of the Electrophoretic Mobility of Biological Cells and Their Model Particles |
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454 | (3) |
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21.6.1 RAW117 Lymphosarcoma Cells and Their Variant Cells |
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454 | (1) |
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21.6.2 Poly(N-isopropylacrylamide) Hydrogel-Coated Latex |
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455 | (2) |
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21.7 Electrophoresis of Nonuniformly Charged Soft Particles |
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457 | (6) |
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21.8 Other Topics of Electrophoresis of Soft Particles |
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463 | (1) |
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464 | (4) |
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22 Electrophoretic Mobility of Concentrated Soft Particles |
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468 | (12) |
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468 | (1) |
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22.2 Electrophoretic Mobility of Concentrated Soft Particles |
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468 | (7) |
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22.3 Electroosmotic Velocity in an Array of Soft Cylinders |
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475 | (4) |
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479 | (1) |
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23 Electrical Conductivity of a Suspension of Soft Particles |
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480 | (5) |
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480 | (1) |
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480 | (1) |
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23.3 Electrical Conductivity |
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481 | (3) |
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484 | (1) |
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24 Sedimentation Potential and Velocity in a Suspension of Soft Particles |
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485 | (12) |
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485 | (1) |
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485 | (5) |
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24.3 Sedimentation Velocity of a Soft Particle |
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490 | (1) |
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24.4 Average Electric Current and Potential |
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490 | (1) |
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24.5 Sedimentation Potential |
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491 | (3) |
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24.6 Onsager's Reciprocal Relation |
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494 | (1) |
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24.7 Diffusion Coefficient of a Soft Particle |
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495 | (1) |
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495 | (2) |
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25 Dynamic Electrophoretic Mobility of a Soft Particle |
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497 | (11) |
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497 | (1) |
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497 | (2) |
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25.3 Linearized Equations |
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499 | (2) |
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25.4 Equation of Motion of a Soft Particle |
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501 | (1) |
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25.5 General Mobility Expression |
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501 | (2) |
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25.6 Approximate Mobility Formula |
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503 | (3) |
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506 | (2) |
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26 Colloid Vibration Potential in a Suspension of Soft Particles |
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508 | (7) |
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508 | (1) |
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26.2 Colloid Vibration Potential and Ion Vibration Potential |
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508 | (5) |
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513 | (2) |
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27 Effective Viscosity of a Suspension of Soft Particles |
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515 | (18) |
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515 | (1) |
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516 | (2) |
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27.3 Linearized Equations |
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518 | (2) |
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27.4 Electroviscous Coefficient |
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520 | (3) |
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27.5 Approximation for Low Fixed-Charge Densities |
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523 | (4) |
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27.6 Effective Viscosity of a Concentrated Suspension of Uncharged Porous Spheres |
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527 | (3) |
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530 | (1) |
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531 | (2) |
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533 | (10) |
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28 Membrane Potential and Donnan Potential |
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535 | (8) |
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535 | (1) |
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28.2 Membrane Potential and Donnan Potential |
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535 | (6) |
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541 | (2) |
Index |
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543 | |