| Preface |
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xi | |
| Notations and Symbols |
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xv | |
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Chapter 1 Liquid Surfaces |
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1 | (28) |
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1.1 Mechanical description of the interface between a liquid and its vapor |
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2 | (5) |
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1.1.1 Gibbs' and Young's interface models |
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2 | (2) |
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1.1.2 Mechanical definition of the surface tension of the liquid |
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4 | (1) |
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1.1.3 Influence of the curvature of a surface -- Laplace's law |
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5 | (2) |
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1.2 Thermodynamic approach to the liquid-vapor interface |
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7 | (9) |
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1.2.1 Potential functions |
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7 | (4) |
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1.2.2 Functions of state of surface |
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11 | (1) |
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1.2.3 Equivalence between surface tension and interface energy between two fluids |
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11 | (1) |
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1.2.4 Sign of the energy associated with the surface of a pure liquid |
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12 | (2) |
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1.2.5 Extent of the area of the surface of a liquid |
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14 | (2) |
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1.3 Influence of temperature on surface energy |
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16 | (6) |
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22 | (1) |
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1.5 Surface specific heat capacity |
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23 | (1) |
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1.6 Influence of pressure on the surface tension of a liquid |
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24 | (1) |
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1.7 Evaluation of the surface energy of a pure liquid |
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25 | (4) |
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Chapter 2 Interfaces Between Liquids and Fluid Solutions |
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29 | (36) |
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2.1 Surface concentrations and surface excess |
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29 | (4) |
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2.2 Thermodynamics of interfaces of polycomponent liquid--fluid systems |
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33 | (10) |
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2.2.1 Complete chemical potential of a component in a phase |
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33 | (3) |
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2.2.2 Chemical potentials and lateral chemical potentials |
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36 | (2) |
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2.2.3 Conditions of equilibrium in a capillary system |
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38 | (1) |
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2.2.4 Gibbs--Duhem relation for surface phenomena |
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39 | (1) |
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2.2.5 Adsorption and Gibbs isotherm |
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40 | (3) |
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2.3 Surface tension of solutions |
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43 | (5) |
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44 | (3) |
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2.3.2 Highly-dilute solutions |
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47 | (1) |
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2.4 Interface tension between two liquids |
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48 | (1) |
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2.5 Energy of adhesion of two liquids |
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49 | (1) |
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2.6 Spreading of a liquid over another liquid |
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50 | (3) |
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2.7 Example of the microscopic modeling of surfaces of solutions: the monolayer model for strictly-regular solutions |
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53 | (12) |
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2.7.1 Presentation of the model |
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53 | (2) |
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2.7.2 Chemical potentials of the surface and bulk components of a strictly-regular solution |
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55 | (3) |
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2.7.3 Surface tension and composition of the surface layer of a strictly-regular solution |
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58 | (1) |
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2.7.4 Monolayer model and interface tension between two strictly-regular solutions |
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59 | (2) |
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2.7.5 Critique of the monomolecular layer model |
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61 | (4) |
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Chapter 3 Surfaces of Solids and Interfaces |
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65 | (34) |
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3.1 Surface tension and the surface energy of solids |
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65 | (2) |
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3.2 Surface energy of a pure crystallized solid: the macroscopic approach |
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67 | (2) |
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3.3 Surface energy in a mesoscopic model |
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69 | (1) |
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3.4 Effective surface energy: the Wulff crystal |
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70 | (4) |
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3.5 Interfacial energy between two solids |
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74 | (3) |
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3.6 Interfaces between pure solids and liquids |
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77 | (8) |
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3.6.1 Spreading and angle of contact of a liquid on a solid |
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77 | (3) |
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3.6.2 Work of adhesion between a liquid and a solid |
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80 | (1) |
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3.6.3 Solid surface in contact with two liquids: displacement of one liquid by another |
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81 | (2) |
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3.6.4 Conditions of stability of solid particles at fluid interfaces |
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83 | (2) |
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3.7 Adsorption of elements of a liquid solution by a solid |
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85 | (2) |
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3.8 Electrocapillary phenomena |
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87 | (12) |
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3.8.1 Definition of electrocapillarity |
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88 | (1) |
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3.8.2 Gibbs--Lippmann formula and Lippmann's formula |
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88 | (3) |
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3.8.3 Experimentally obtaining the surface tension/electrical potential curve |
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91 | (1) |
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3.8.4 Shape of the electrocapillary curves |
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91 | (3) |
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3.8.5 Applying electrocapillarity to the experimental determination of the excess surface |
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94 | (5) |
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Chapter 4 Small-volume Phases |
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99 | (38) |
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4.1 Laplace's law for spherical liquid drops |
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99 | (1) |
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4.2 Similarity between the thermodynamics of a Wulff crystal and that of a liquid drop |
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100 | (1) |
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4.3 Reiss' characteristic function |
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101 | (3) |
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4.4 Gibbs energy of a spherical pure liquid or solid with small volume |
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104 | (1) |
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4.5 Chemical potential of a component of a solution |
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105 | (1) |
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4.6 Phase change in pure substances |
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106 | (6) |
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4.6.1 The saturating vapor pressure of pure liquid |
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107 | (3) |
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4.6.2 Melting of a small grain |
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110 | (2) |
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4.7 Alteration of the solubility of a solid due to the small dimension of its grains |
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112 | (2) |
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4.8 Equilibrium constant for a reaction involving small grains |
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114 | (3) |
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4.9 Nucleation of a condensed phase |
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117 | (20) |
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4.9.1 Hypotheses underlying the nucleation model |
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117 | (3) |
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4.9.2 Homogeneous nucleation in a fluid phase: Volmer's approach (1905) |
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120 | (6) |
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4.9.3 Homogeneous nucleation within a solid phase |
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126 | (1) |
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4.9.4 Primary heterogeneous nucleation from a fluid phase |
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126 | (11) |
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Chapter 5 Capillary Tubes and Thin Films |
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137 | (26) |
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5.1 Behavior of a liquid in a capillary space |
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137 | (1) |
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5.2 Thermodynamics of the cylindrical meniscus |
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138 | (10) |
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5.2.1 Laplace's law for the cylindrical meniscus |
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138 | (1) |
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5.2.2 Capillary ascension |
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139 | (7) |
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5.2.3 Capillary condensation |
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146 | (2) |
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5.3 Modeling the interactions between two surfaces of an insulating material |
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148 | (5) |
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153 | (10) |
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5.4.1 Disjunction pressure |
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153 | (2) |
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5.4.2 Formation of a film by condensation |
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155 | (2) |
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5.4.3 Ascension of a liquid along a wall |
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157 | (3) |
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5.4.4 Minimum spreading thickness |
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160 | (3) |
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Chapter 6 Physical Adsorption of Gases by Solids |
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163 | (46) |
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6.1 Shapes of the isotherms of physical adsorption found experimentally |
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163 | (1) |
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6.2 Potential energy of a gaseous molecule in the presence of the surface of a solid |
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164 | (7) |
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6.2.1 Adsorbent insulating solid |
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165 | (2) |
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6.2.2 Electronically-conductive adsorbent solid |
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167 | (4) |
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6.3 Thermodynamic models for physical adsorption |
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171 | (11) |
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171 | (4) |
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6.3.2 Hill and Everett's model |
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175 | (3) |
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178 | (4) |
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182 | (10) |
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6.4.1 Energy distribution of adsorbed molecules |
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183 | (1) |
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6.4.2 Isotherms of adsorption in mobile monolayers with no interaction |
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184 | (2) |
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6.4.3 Isotherms of adsorption in mobile monolayers with interactions |
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186 | (2) |
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6.4.4 Isotherms of adsorption in localized monolayers without interaction |
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188 | (1) |
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6.4.5 Isotherms of adsorption in localized monolayers with interactions |
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189 | (3) |
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6.5 Multilayer adsorption |
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192 | (10) |
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6.5.1 The Brunauer, Emmet and Taylor (B.E.T.) isotherm |
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193 | (4) |
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6.5.2 Frenkel, Halsey and Hill's liquid layer model |
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197 | (2) |
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6.5.3 Polanyi's potential model |
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199 | (3) |
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6.6 Adsorption on porous substances |
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202 | (7) |
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6.6.1 Process of pore filling |
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203 | (1) |
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6.6.2 Shape of the adsorption curve |
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204 | (1) |
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6.6.3 Shape of the evaporation curve, phenomenon of hysteresis |
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205 | (1) |
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6.6.4 Relation between the shape of the pores and that of the hysteresis loop |
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206 | (3) |
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Chapter 7 Chemical Adsorption of Gases by Solids |
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209 | (18) |
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7.1 Chemical force between gas and solid surface |
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209 | (6) |
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7.1.1 Chemical adsorption on metals |
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209 | (3) |
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7.1.2 Chemical adsorption on semiconductors |
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212 | (3) |
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7.2 Physical adsorption and chemical adsorption |
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215 | (2) |
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7.3 Isotherms of adsorption and experimental results |
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217 | (1) |
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7.4 Langmuir's model of equilibrium of chemical adsorption |
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218 | (2) |
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7.5 Dissociative adsorption and Langmuir's model |
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220 | |
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7.6 Chemical adsorption of mixtures of gases in Langmuir's model |
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22 | (201) |
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7.7 "Non-Langmuirian" isotherms of adsorption |
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223 | (4) |
| Appendix |
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227 | (12) |
| Bibliography |
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239 | (2) |
| Index |
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241 | |