Theory of Electric Polarization

Theory of Electric Polarization

Dielectrics in Static Fields

2nd Edition - January 1, 1973

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  • Author: Author Unknown
  • eBook ISBN: 9780444600066

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Theory of Electric Polarization: Dielectrics in Static Fields: Second Edition concerns the theory of the static behavior of dielectrics. The book reviews electric moment, electric dipoles, some concepts of, and problems of electrostatics. One problem concerns the phenomena of a conducting sphere in a homogeneous external field which was resolved using Laplace's equation. The text also discusses the work required to assemble a charge distribution, the energy of a dialectric or an induced dipole in an external field, and the electrostatic interaction of two particles. The book explores the reaction field of a polarizable or non-polarizable point dipole, the reaction field in an ellipsoidal cavity, the reaction field of an eccentric dipole in a spherical cavity, and the contribution of the permanent dipoles to the cohesion energy of a liquid. The text tackles the Onsager equation, the Debye equation, a correction to the Clausius-Mossotti equation, and the Kirkwood correlation factor. The book explains normal and anomalous saturation, electrostriction, as well as the non-linear effect due to the anisotropy of polarizability and hyperpolarizabilities. The text can prove beneficial for researchers, investigators or scientists whose work involve organic chemistry, analytical chemistry, physical chemistry, and inorganic chemistry.

Table of Contents

  • Foreword

    Preface to the Second Edition

    Important Symbols

    Historical Introduction


    Chapter 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


    Chapter 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


    Chapter 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


    Chapter 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


    Chapter 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


    Chapter 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


    Chapter 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


    Appendix 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


    Appendix 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


    Appendix 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


    Author Index

    Subject Index

    Chemical Name Index

Product details

  • Language: English
  • Copyright: © Elsevier Science 1973
  • Published: January 1, 1973
  • Imprint: Elsevier Science
  • eBook ISBN: 9780444600066

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