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xv | |
| Part One INTRODUCTION TO THE DIELECTRIC SPECTROSCOPY |
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1 | (72) |
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1 Basic Terms, Processes and Models |
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3 | (34) |
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1.1 Displacement and polarization vectors for a constant external field |
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5 | (1) |
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1.2 Relative complex permittivity and susceptibility |
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6 | (3) |
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1.3 Complex refractive index and absorption coefficient |
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9 | (3) |
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1.4 Debye model of rotational diffusion |
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12 | (7) |
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1.5 About the dynamic method |
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19 | (11) |
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1.6 Classification of semi-microscopic molecular models |
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30 | (7) |
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2 Rotational and Dielectric Spectra |
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37 | (36) |
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2.1 Gaseous and gas-like states |
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37 | (9) |
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46 | (1) |
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2.3 Individual nonassociated liquids |
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47 | (5) |
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52 | (7) |
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2.5 Water bounded by a macromolecule |
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59 | (7) |
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66 | (7) |
| Part Two THE DYNAMIC METHOD |
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73 | (150) |
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3 Basic Equations and Theorems |
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75 | (42) |
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3.1 Maxwell's equations and wave equation for a plane electromagnetic wave |
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75 | (2) |
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77 | (5) |
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3.3 The average perturbation (AP) theorem |
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82 | (5) |
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3.4 Rotation of a polar molecule in an axisymmetric potential |
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87 | (20) |
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3.5 Libration of a polar molecule in a parabolic potential well |
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107 | (10) |
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4 Relation of Susceptibility to Complex Power |
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117 | (12) |
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4.1 The dispersion equation |
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117 | (4) |
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4.2 The steady state and induced distributions |
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121 | (1) |
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4.3 The effective susceptibility |
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122 | (2) |
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4.4 Susceptibility / permittivity relation for the case of isotropy |
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124 | (5) |
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129 | (54) |
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5.1 Representation in terms of perturbed motion of a dipole in radiation field |
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129 | (3) |
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5.2 Representation in terms of undamped motion for thermal equilibrium |
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132 | (7) |
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5.3 Relation to the direction of alternating external field |
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139 | (3) |
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5.4 The spectral functions in the case of an isotropic medium |
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142 | (5) |
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5.5 Fourier series for the spectral function: planar motion |
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147 | (8) |
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5.6 Fourier series for the spectral function: motion in space |
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155 | (14) |
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5.7 Integrated absorption |
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169 | (6) |
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5.8 The Kramers-Kronig rule |
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175 | (1) |
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5.9 Landau damping in polar medium |
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176 | (7) |
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183 | (40) |
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6.1 The effective susceptibility at an arbitrary non-equilibrium induced distribution F |
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183 | (3) |
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6.2 The Boltzmann induced distribution F(B) |
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186 | (1) |
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6.3 The Debye induced distribution F(D) |
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186 | (1) |
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6.4 The self-consistent induced distributions F(G), F(K), F(T) |
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187 | (5) |
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6.5 The spectral function K(Z). The summary table for the susceptibility |
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192 | (2) |
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6.6 The low-frequency approximation |
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194 | (10) |
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6.7 The resonance phenomena (The Poley absorption region) |
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204 | (6) |
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6.8 The extension of the theory to multicomponent media |
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210 | (5) |
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6.9 Models of collisions for an isotropic medium (continuation) |
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215 | (4) |
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Addendum I About the Evolution of the Dynamic Method |
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219 | (4) |
| Part Three MODELS OF FREE ROTATION / LIBRATION |
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223 | (136) |
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7 The Extended Rotational Diffusion (ED) Model of Symmetric Top Molecules |
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225 | (30) |
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7.1 Ensemble of linear molecules |
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225 | (14) |
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7.2 Ensemble of symmetric top molecules |
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239 | (16) |
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8 The Confined Rotator (CR) Models |
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255 | (50) |
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255 | (9) |
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8.2 The simplified spatial CR model |
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264 | (2) |
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8.3 Dielectric spectra of an isotropic medium for the DWP configuration |
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266 | (4) |
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8.4 The peak absorption and Debye relaxation time as functions of the lifetime |
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270 | (9) |
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8.5 The cone confined rotator (CCR) model |
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279 | (25) |
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8.6 The cone confined rotator model with a single potential well: dielectric behavior |
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304 | (1) |
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9 The Hybrid Confined Rotator / Extended Diffusion Model (HM) |
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305 | (54) |
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9.1 The mean molecular parameters at equilibrium |
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308 | (9) |
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9.2 The spectral functions K(z) and L(z) |
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317 | (3) |
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9.3 Evolution of dielectric spectra with the rise of the rectangular potential |
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320 | (6) |
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9.4 The hybrid model 2 (HM2) |
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326 | (33) |
| Part Four FIELD MODELS |
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359 | (136) |
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10 The Elastic Bond (EB) Approximation |
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363 | (18) |
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10.1 The spectral function of the planar ensemble |
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364 | (1) |
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10.2 The spectral function of the spatial ensemble |
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365 | (4) |
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10.3 The complex susceptibility of linear molecules subjected to the influence of the parabolic potential |
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369 | (7) |
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10.4 The Poley absorption |
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376 | (1) |
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10.5 The loss frequency dependence for the single well potential |
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377 | (1) |
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10.6 The loss frequency dependence for the double well potential |
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378 | (3) |
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11 The Constant Field (CF) Model |
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381 | (50) |
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11.1 The steady state law of motion |
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381 | (7) |
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11.2 Distribution functions |
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388 | (8) |
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11.3 The field dependence of the steady state parameters |
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396 | (11) |
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11.4 Rigorous expressions for the spectral functions |
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407 | (8) |
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11.5 The quasi-harmonic approximation (QHA) |
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415 | (3) |
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418 | (10) |
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11.7 The stratified approximation |
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428 | (3) |
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12 The Cosine Squared (CS) Model |
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431 | (34) |
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431 | (5) |
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436 | (10) |
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12.3 The spectral function: rigorous theory |
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446 | (5) |
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12.4 The Spectral Function: the quasi-harmonic approximation |
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451 | (2) |
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453 | (2) |
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12.6 Influence of the field parameter on dielectric spectra |
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455 | (7) |
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12.7 The stratified approximation |
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462 | (3) |
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465 | (30) |
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467 | (1) |
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13.2 The steady-state distribution W = C exp(-h) |
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467 | (2) |
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13.3 Fourier amplitudes of librating molecules |
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469 | (2) |
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13.4 The spectral function of librators |
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471 | (7) |
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13.5 The spectral function of free rotating molecules |
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478 | (2) |
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13.6 The effect of the potential well steepness on loss / absorption spectra |
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480 | (1) |
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13.7 Statistical parameters |
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480 | (6) |
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13.8 The curved-brim hat model |
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486 | (9) |
| Part Five APPLICATIONS OF THE THEORY |
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495 | (124) |
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14 Individual Nonassociated Polar Liquids |
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497 | (34) |
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14.1 Liquid fluoromethane CH(3)F |
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498 | (5) |
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14.2 The rotational cell model (RCM) |
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503 | (5) |
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14.3 Liquid trifluoromethane CHF(3) |
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508 | (2) |
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14.4 Prediction of the critical temperature |
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510 | (2) |
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14.5 Molecular interpretation of the (XXX)rotational(XXX) lifetime (Tan) in the light of the Debye rotational diffusion theory |
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512 | (2) |
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14.6 Relation of the potential welldepth to dielectric spectra |
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514 | (1) |
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14.7 The Polarizability A"(Nu) Spectra |
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515 | (3) |
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14.8 Distortion of the Cole-Cole diagram due to micro heterogeneity |
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518 | (8) |
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14.9 Isotropic potential and the self-diffusion coefficient |
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526 | (5) |
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15 Liquid Water and Aqueous Systems |
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531 | (58) |
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531 | (22) |
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15.2 Electrolytes in aqueous solution |
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553 | (14) |
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15.3 Water in a bound state |
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567 | (14) |
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15.4 Nonelectrolyte in aqueous solution |
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581 | (8) |
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16 Quantum Effects in Polar Gases and Gas-like Liquids |
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589 | (30) |
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16.1 The quasi-classical approach |
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589 | (4) |
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16.2 Resonance phenomena in biatomic gases |
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593 | (9) |
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16.3 Classical theory of collisions |
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602 | (10) |
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612 | (7) |
| The Afterword |
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619 | (4) |
| Addendum II. On the Evolution of Molecular Models of Orientational Relaxation |
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623 | (4) |
| References |
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627 | (6) |
| Subject Index |
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633 | |
Other versions by this Author
