Theory of Electric Polarization

ForewordPreface to the Second EditionImportant SymbolsHistorical Introduction ReferencesChapter I. Electric Dipoles and Multipoles 1. Electric Moment and Electric Dipoles 2. The Electric Field of an Ideal Dipole in vacuo 3. Non-Ideal Dipoles. The Description of Potentials with the Aid of Legendre Functions 4. Axial Multipoles 5. General Multipoles ReferencesChapter II. Some Concepts and Problems of Electrostatics 6. The Vector Fields Ε and D 7. The Electric Polarization 8. The Relation Between Ε and Ρ 9. Some Electrostatical Problems 10. The Polarizability α ReferencesChapter III. Polarization and Energy 11. The Relation Between Potential and Energy 12. The Work Required to Assemble a Charge Distribution 13. The Work of Assembly as a Thermodynamic Quantity 14. The Energy of a Dielectric in an External Field 15. The Energy of an Induced Dipole in an External Field 16. The Electrostatic Interaction of Two Particles ReferencesChapter IV. The Reaction Field 17. Introduction 18. The Reaction Field of a Non-Polarizable Point Dipole 19. The Reaction Field of a Polarizable Point Dipole 20. The Reaction Field in an Ellipsoidal Cavity 21. Reaction Field and Energy 22. The Average Reaction Field of an Arbitrary Charge Distribution in an Ellipsoidal Cavity 23. The Reaction Field of an Eccentric Dipole in a Spherical Cavity 24. The Contribution of the Permanent Dipoles to the Cohesion Energy of a Liquid ReferencesChapter V. The Dielectric Constant in the Continuum Approach to the Environment of the Molecule 25. Introduction 26. The Dependence of the Polarization on the Internal and the Directing Field 27. The Internal Field for Non-Polar Dielectrics 28. The Internal and the Directing Fields for Polar Dielectrics 29. The Onsager Equation 30. The Generalization of the Onsager Equation for Ellipsoidal Molecules 31. The Debye Equation 32. A Correction to the Clausius-Mossotti Equation 33. The Correction to the Clausius-Mossotti Equation for Ellipsoidal Molecules 34. Mixtures of Non-Polar Compounds ReferencesChapter VI. Statistical-Mechanical Theories of the Dielectric Constant 35. Introduction 36. The 3N-Dimensional Vectors and Tensors 37. The Clausius-Mossotti Equation 38. The Dielectric Virial Coefficients of Gases 39. The Dielectric Constant of Pure Dipole Liquids 40. The Kirk Wood Correlation Factor ReferencesChapter VII. Non-Linear Effects 41. Introduction 42. Normal Saturation 43. Anomalous Saturation 44. Non-Linear Effects Due to the Anisotropy of the Polarizability and to the Hyperpolarizabilities 45. Electrostriction ReferencesAppendix I. Some Applications of Vector and Tensor Calculus 1. Differentiation of Scalar and Vector Fields 2. Some Vector-Analytic Equations 3. Integration of Scalar and Vector Fields 4. Spherical Coordinates 5. The Nabla Operator in Spherical Coordinates 6. Tensors and Matrix Representations of Tensors 7. Transformations and Invariants of Symmetric Matrices ReferencesAppendix II. The Solution of Laplace's and Poisson's Equations 1. Laplace's Equation 2. The General Solution of Laplace's Equation in Spherical Coordinates for the Case of Axial Symmetry 3. The Three-Dimensional δ-Function 4. Poisson's Equation ReferencesAppendix III. Some Properties of the Legendre Polynomials 1. The Generating Function and Recursion Formulas 2. Legendre's Differential Equation 3. The Solution of Legendre's Equation 4. A Table of the Legendre Polynomials 5. Orthogonality of the Legendre Polynomials ReferenceAuthor IndexSubject IndexChemical Name Index