Part I. Potential and charge at interfaces.
 
Chapter 1. Potential and charge of a hard particle.
 
1.1. Introduction.
 
1.2. The Poisson-Boltzmann Equation.
 
1.3. Plate.
 
1.4. Sphere.
 
1.5. Cylinder.
 
1.6. Asymptotic behavior of potential and effective surface potential.
 
1.7. Nearly spherical particle.
 
References.
 
Chapter 2. Potential distribution around a non-uniformly charged surface and discrete charge effects.
 
2.1. Introduction.
 
2.2. The Poisson-Boltzmann equation for a surface with an arbitrary fixed surface charge distribution.
 
2.3. Discrete charge effect.
 
References.
 
Chapter 3. Modified Poisson-Boltzmann equation.
 
3.1. Introduction.
 
3.2. Electrolyte solution containing rod-like divalent cations.
 
3.3. Electrolyte solution containing rod-like zwitterions.
 
3.4. Self-atmosphere potential of ions.
 
References.
 
Chapter 4. Potential and charge of a soft particle.
 
4.1 Introduction.
 
4.2 Planar soft surface.
 
4.3 Spherical soft particle.
 
4.4 Cylindrical soft particle.
 
4.5. Asymptotic behavior of potential and effective surface potential of a soft particle.
 
4.6 Non-uniformly charged surface layer: isoelectric point.
 
References.
 
Chapter 5. Free energy of a charged surface.
 
5.1. Introduction.
 
5.2. Helmholtz free energy and tension of a hard surface.
 
5.3. Calculation of the free energy of the electrical double layer.
 
5.4. Alternative expression for Fel.
 
5.5. Free energy of a soft surface.
 
References.
 
Chapter 6. Potential distribution around a charged particle in a salt-free medium.
 
6.1. Introduction.
 
6.2. Spherical particle.
 
6.3. Cylindrical particle.
 
6.4. Effects of a small amount of added salts.
 
6.5. Spherical soft particle.
 
References.
 
Part II. Interaction between surfaces.
 
Chapter 7. Electrostatic interaction of point charges in an inhomogeneous medium.
 
7.1. Introduction.
 
7.2. Planar geometry.
 
7.3. Cylindrical geometry.
 
References.
 
Chapter 8. Force and potential energy of the double layer interaction between two charged colloidal particles.
 
8.1. Introduction.
 
8.2. Osmotic pressure and Maxwell stress.
 
8.3. Direct calculation of interaction force.
 
8.4. Free energy of double layer interaction.
 
8.5. Alternative expression for the electric part of the free energy of double layer interaction.
 
8.6. Charge regulation model.
 
References.
 
Chapter 9. Double layer interaction between two parallel similar plates.
 
9.1. Introduction.
 
9.2. Interaction between two parallel similar plates.
 
9.3. Low potential case.
 
9.4. Arbitrary potential case.
 
9.5. Comparison between the theory of Derjaguin and Landau and theory of Verwey and Overbeek.
 
9.6. Approximate analytic expressions for moderate potentials.
 
9.7. Alternative method of linearization of the Poisson-Boltzmann equation.
 
References.
 
Chapter 10. Electrostatic interaction between two parallel dissimilar plates.
 
10.1 Introduction.
 
10.2. Interaction between two parallel dissimilar plates.
 
10.3. Low potential case.
 
10.4. Arbitrary potential: Interaction at constant surface charge density.
 
10.5. Approximate analytic expressions for moderate potentials.
 
References.
 
Chapter 11. Linear