Dielectrics in Time-Dependent Fields

PrefaceImportant SymbolsChapter VIII. Phenomenological Theory of Linear Dielectrics in Time-Dependent Fields 46. Introduction 47. The Response Functions 48. The Complex Dielectric Constant 49. The Complex Dielectric Constant and the Complex Conductivity 50. The Complex Refractive Index 51. The Use of the Complex Dielectric Constant in Problems with Timedependent Field Sources 52. The Kronig-Kramers Relations 53. Resonance and Relaxation ReferencesChapter IX. The Empirical Description of Dielectric Relaxation 54. Introduction 55. The Cole-Cole Plot 56. Approximations for the Distribution Function 57. A Single Relaxation Time 58. Generalized Expressions for ℰ(ω) 59. Generalized Expressions for ℰ"(ω) and Fpor(t) 60. Some Simple Distributions of Relaxation Times 61. Superpositions of Distribution Functions 62. Applicability of the Empirical Distributions 63. The Temperature as a Variable ReferencesChapter X. The Relationship Between Macroscopic and Molecular Dielectric Relaxation Behaviour 64. Statistical Mechanics of Linear Dissipative Systems and the Relationship Between Response Functions and Correlation Functions 65. The Relationship Between the Macroscopic and the Microscopic Correlation Function 66. Comparison Between Macroscopic and Microscopic Relaxation Behaviour ReferencesChapter XI. The Dipole Correlation Function 67. Introduction 68. General Aspects of Molecular Reorientation 69. Short-Time Expansions 70. Freely Rotating Molecules 71. Rotational Diffusion 72. Reorientation by Discrete Jumps 73. Distributions of Relaxation Times 74. Internal Reorientations 75. Associating Liquids 76. High-Frequency Phenomena 77. Results Obtained from Computer Simulations ReferencesChapter XII. Polarization in the Infrared and Optical Frequency Range 78. Introduction 79. The Extrapolation of the Refractive Index to Infinite Wavelength 80. The Lorenz-Lorentz Equation and its Corrections 81. Application of the Internal Field Theory to i.r. Bandshape Analysis ReferencesChapter XIII. The Kerr Effect and Related Phenomena 82. Introduction 83. The Kerr Effect in Dilute Gases 84. The Kerr Effect in Condensed Systems 85. Electrically Induced n.m.r. Line Splitting 86. Extensions of the Kerr Effect 87. Other Methods for the Inducement of a Birefringence ReferencesChapter XIV. The Experimental Determination of Permanent Dipole and Quadrupole Moments 88. Introduction 89. Determinations of Permanent Dipole Moments from Measurements on Gases 90. Determination of the Dipole Moment in Solution with the Debye Equation 91. Theoretical Calculation of the Solvent Effect 92. The Experimental Determination of Molecular Quadrupole Moments ReferencesChapter XV. Dielectric Properties of Molecular Solids and Liquid Crystals 93. Introduction 94. Some Electrostatical Problems with Anisotropic Dielectrics 95. The Induced Polarization of Crystals 96. The Solid Rotator Phase 97. Liquid Crystals 98. Heterogeneous Mixtures ReferencesAppendix IV. Functions of Complex Numbers 1. Complex Numbers 2. Functions of Complex Numbers 3. Transformations in the Complex Plane 4. Complex Integration 5. Taylor Series and Analytic Continuation 6. Singular Points 7. Application of Cauchy's Integral Formula ReferenceAppendix V. Laplace and Fourier Transforms 1. Laplace Transforms 2. Complex Laplace Transforms 3. Special Topics 4. List of Selected Functions and their Laplace Transform 5. Fourier Analysis 6. The Stieltjes Transform and its Inversion ReferencesAuthor IndexSubject IndexChemical Name Index