SUBJECT INDEX

SUBJECT INDEX

Absolute reaction rates, theory of, 293 Absorption band shapes, moments of,

234

Absorption spectra, 220-221, see also Spectrum, Infrared spectra, Ram- an spectra

collision-induced, 221

in gaseous and liquid xenon, 221 of liquid xenon, 220

Accelerator, electron linear, 167 Acoustic modes, 171, see also Sound Adiabatic fluctuation, 323

Alpha particles, 217 Angular momentum, 205 Anharmonicity, 234

Anisotropie intermolecular potentials, 206 Anisotropy factor, 190

Atomic distribution function, 147 Atomic ordering, changes in, 35 Autocorrelation function, 277, 282, 284-

285, 289, see aho Self correlation function

Background scattering, corrections for, 34

Barrier to rotation, of CO, 233 Bearman-Kirkwood theory, 293 Bearman theory of transport, 305 Binary collisions, 262-263 Bloch equations, 203-204 Boltzmann equation, 262-266

general form, 291

"generalized," 292

Bond distances, x-ray and spectroscopic, 79

Brewster angle, 19 Brillouin components, 111 Brillouin scattering, 112 Brillouin shifts, 111 Brillouin spectra, 111

Brownian motion, 262, see also Quasi- Brownian motion

of heavy particle, 287

Bulk density difference, 21

Bulk viscosity, 274, 279, 284-285, 287, 290, 309, 327, 334, 366

of argon, 334-335, 337-338 corresponding states, 291 Capillary flow technique, 320 Capillary viscometry, 321

Chaos assumption, 307, see also Molec- ular chaos

Chemical potential, 18

Clausius-Mossotti function, 185, 187, 195-196, 198, 200

calculated, 195 deformation effects, 187 density effects, 187

effect of statistical fluctuations, 187 energy levels, 188

exchange forces, 188 fluctuation effects, 188, 190 induced dipole moments, 187 orientation effects, 187 perturbation calculation, 187 polarizability, 187, 190

quadratic function of density, 196 quantum-mechanical treatments, 188 temperature effect, 196

Coarse-grained time scale, 262 Coarse graining, 281

Coherence parameter, 163 Coherence time, 267

Coherence time expansion, 268 Collins and Raffel theory, 303 Collision operator, 280 Collisional broadening, 234 Compressibility, 108

absolute values of, 93 adiabatic coefficient, 2 from density, 104

isothermal, 2, 90, 93, 100, 102, 113, 116, 135

relative, 101-102, 105, 107-108 x-ray, 104

420

SUBJECT INDEX

421

Condenser, 185

Configurational energy, 9

Convoluted hyper-netted chain theory, 67 Convolution approximation, 125 Coordination number, for fluids, 34 Coordination shell, atoms in, 33 Correlation function, see Atomic distri-

bution function, Dipole correla- tion function, Atomic dipole, Pair correlation function, Direct cor- relation function

Correlation length, short-range, 96, 104, 108

Correlation range, 264 Correlation time, 212, 264 Correlations

equilibrium, 282

indirect collision sequences, 265 time-dependent, 282

Corresponding states principle of, 107-108, 289

reduced de Broglie wavelength in, 289 reduced dipole moment in, 289 reduced moment of inertia in, 289 Critical opalescence, 33, 98, 104-105, 108

x-ray analog, 96 Critical phenomena, 252

Critical point, 1, 4-5, 9-10, 13-14, 21, 24, 67, 89, 93, 114, 184, 189, 196, 200

density fluctuations near, 33 long-range behavior of, 33 singularities, 1, 13-15

Critical pressure, x-ray scattering at, 99 Critical region, 41, 93, 96

theory of scattering in, 93 Critical temperature, 101, 115

Cross section, 120, 126-127, 129, 143, 147, 159, 162-163, 165, 180 coherent, 121

differential, 125, 159-161, 168, 170, 172-173, 177

free gas, 168 incoherent, 121 multiphonon, 161 neutron, 167, 171 ratio of, 149

reduced partial, 178-180 reduced partial differential, 177

static approximation, 125 total, 156, 166-169, 171-172 Cryogenic, 361

Cryogenic fluids, 216 Cryostat, 170 Crystals

anisotropic symmetry, 185 cubic symmetry, 185, 186 Curie's law, 204, 207

Damped oscillator techniques, 321 Damping factor, 87

artificial, 88 Davydov splitting, 242 Degeneracy temperature, 207 Densities from x-ray transmission, 106 Density gradient theory, 23

Density profile, interfacial, 18 Depolarization ratios, 112 Destruction fragment, 278 Deuterated modifications, 210 Deuteron relaxation, 210 Deuterons, 217

Diagonal fragment, 278 Diagrammatic notation, 278 Diamagnetic substances, 191

Dielectric constant, 184, 191-192, 200, 256

chemical composition, 185 function of density, 185, 200

of temperature, 196 high density fluids, 188-189 literature sources for data, 192 moderate-density fluids, 186 molecular properties of atoms, 185 multipole effects, 189

nonpolar liquids, 192-193 pure liquids, 194

reference liquids, 193 static, 193

Dielectric data, 195 boiling point, 189 compressed gas, 195

Dielectric displacement vector, 185 Dielectric properties, molecular model,

183

Diffraction, conventional, 146 Diffusion, 158, 171, 254

jump model, 122 modified gas model, 122

422

polycrystalline model of, 159 quasi-crystalline model, 257 simple model, 122

temperature dependence of, 332 Diffusion coefficient, 258, 296

from spin-echo measurements, 325 Diffusion tensor, 298

Dilatational viscosity, 254-255, 321 Dilation, 90

Dimer luminescence, 219 Dipole correlation function, 246 Dipole moment, induced, 224

Dipole scattering, Rayleigh's theory of, 112

Direct correlation function, 67

Discrepancies between x-ray and neutron results, 67

Dispersion region, 191

Dispersion relation, 136, 139, 165 Dissipative processes, 254

Distribution function, 260, 264, 266, 278, 281

atomic density, 150 in pair space, 297 singlet, 262, 283

Distributions, time-of-flight, 174 Double molecule absorption bands, 241 Double molecule excitations, 224

Double molecule spectrum of oxygen molecule, 247

Double molecule transition, 225, 227, 229, 243

Doublet distribution function, see Pair correlation function, Distribution function

Dynamical correlations, lifetime of, 268 Electrical conductivity, 282

Electromagnetic data, 183-184 Electromagnetic wave, 190 Electron diffraction, 85

Electron Linear Accelerator time-of-flight Spectrometer, 168

Electronic combination bands, in liquid oxygen, 240

Electrons, 217

Ellipticity, coefficient of, 19 Energy, 3

flow, 257

superficial excess of, 22 surface excess, 18 transport of, 263 Energy flux, 254 Enthalpy, 3, 284 Entropy, 3

surface excess, 18 Equation of state, 3, 6, 9 Equilibrium

approach to, 277, 278 liquid-vapor, 52

Evaporation, latent heat of, 8 Exchange effects, 188

Excitation peaks, line width, 143 Excitations in simple liquids, 215 Excited states, 216

"Eximer," 220 External force, 270

Eyring theory of transport, 293-294 Falling ball viscometer, 320 Fermi liquids, 207

Fick equations, 254 Fixman's theory, 114 Flight time, 171

Fluctuations, decay of, 277 Fluidity, 295

of argon-krypton system, 349 argon-methane system, 350 of argon-oxygen system, 353 krypton-methane system, 351 methane-deuteromethane system, 352 nitrogen-carbon monoxide system, 353 nitrogen-oxygen system, 353

Fluids, x-ray scattering studies, 31 Fokker-Planck equation, 262, 284 Fokker-Planck operator, 271, 307 Force autocorrelation function, 275, 282,

286, see also Autocorrelation func- tion

Fourier equations, 254 Fourier inversion, 79

Fourier transformation, 39, 79 numerical evaluation, 67 range of integration, 67 Fowler's formula, 22 Free energy, 3, 17, 18 Free path distribution, 258 Frequency distribution, 165

generalized, 123

SUBJECT INDEX

423

Fresnel limit, 19

Friction coefficient, 270, 271, 274-276, 282, 284, 287, 303, 307

hard core, 275 Friction tensor, 306

Gibbs adsorption equation, 18 Gibbs dividing surface, 17 Gibbsian thermodynamics, 17 Green's functions, 19 Hamiltonian

lattice, 206 total, 206

Hard core repulsive forces, 287 Harmonic oscillator, 188, 189, 226

isotropic, 188 Heat capacity, 3, 6, 15

singularity in, 15 Heat transfer, 361

Helmholtz free energy, 14, 18 Herzberg bands in liquid oxygen, 239 Hexadecapole moment, 198

Hierarchy of equations, 260 Hindred rotation, 87 Hindred rotator-vibrator, 233 Hopfield continuum, 219 Hydrodynamics, 261

Hydrogen-bridged three-centered bonds, 197

Hyper-netted chain theory, 77 Incoherent approximation, 163

Index of refraction, see Refractive index Induced dipole forces, 188

Induced dipole moment, 185 Induced moment, 186 Infrared absorption

induced, 224

of liquefied oxygen, 235 in liquid nitrogen, 242

Infrared atmospheric bands of liquid ox- ygen, 239

Infrared spectra, 216, 217, 221

of hydrogen and deuterium as solutes in liquid neon, 227

of liquid hydrogen, 223 of liquid methane, 243 of liquid oxygen, 236

of normal liquid hydrogen, 222

Infrared spectroscopy, 215 Initial correlations, 278

Intensity, see x-ray scattering, Light scat- tering, Neutron scattering Interaction effects, 188

Interaction field, 186 power series, 187 Interatomic distance, 81, 87 Interface

critical point, 19

"dielectric profile," 19 liquid vapor, 17, 22

optical measurements of structure of, 19

planar, 18, 22

point function density, 19 statistical mechanical ideas, 17 thermodynamic, 17

Interfacial width criterion, 21 Intermolecular forces, 183-184, 216

anisotropic, 205, 206 nonadditive component, 77

Ion mobility, 274, 322, 327, 333, 334, 360, 371

Ion pairs, 198 Irreversibility, 262 Isochore, critical, 5

Isoelectronic molecules, 328

Isothermal interdiffusion coefficient, 302 Isotherms, diagram of, 42

Isotope effects, 320 Isotropic solids, 185

Isotropy, effective average, 204 Kihara functions, 271 Kinematic viscosities, 357

Kinetic equations, 259, 262, 272, 278 asymptotic Markovian form, 260 general, 280

hierarchy of, 261

soft potential contribution to, 284 Kirkwood theory, 293

Lambda-point, 112, 142, 195, 217 Landau-Placzek ratio, 111 Laplace-Fowler approximation, 22 Larmor precession, 204

Lasers, 320, 322

spectral coherence, 111 temporal coherence, 111

424

Light scattering, 111-117, 120, 322, 324 angular distribution, 111-112 classical elastic linear theory, 113 critical region, 112, 113, 115, 116 depolarization, 111, 116

dielectric constant, 112

homodyne self-beat techniques, 111 incident intensities, 114

intensity ratios, 116 interferometers, 111

intermolecular interference, 113 lambda point, 116

laser radiation, 112, 116 line width, 111, 112 multiple, 113, 115 nonlinear effects, 112 opalescent, 33

optical heterodyne systems, 111 photoelectric techniques, 114 Raman component, 323 shortest wavelength, 113 single-particle theory, 112 spectral distribution, 111, 112

thermodynamic theory of fluctuations, 112

transmitted, 114

unpolarized incident light, 113 Light scattering data, 117 Linear response theory, 206

Linear trajectory theory, 284, 315, 333 Liouville equation, 260, 277-279, 286,

264

Liouville operator, 287, 291 Liquid mixtures

transport coefficients, 337 transport properties, 293 Liquids

calculation of density, 90 kinetic theory of, 276 local phonon spectrum, 225 molecular theory, 252

polycrystalline model for, 126-127 quasi-crystalline models, 256, 257 LJD potential, for hydrogen in liquid

argon and neon, 227

Local equilibrium, 261, 267, 283, 297 Lorentz field, 185, 186

Lorentz-Lorenz function, 195, 196, 198, 200

density effect, 196

electronic polarization, 192 Lorentzian band, 245 Luminescence spectra, 220

alpha-particle-excited, 219 N2 o r 02, 218

McLaughlin-Davis theory, 294 MacLeod's equation, 21 Macroscopic precession, 204 Magnetic dipolar interactions, 210 Magnetic field

externally applied, 204 oscillating, 204 static, 204

Magnetic permeability, 191 Magnetic resonance, 171 Magnetization

equilibrium, 204 inversion of, 205 macroscopic, 203 Markovian effects, 277 Markovian equations, 259 Markovian kinetic equations, 268 Markovian process, 260-262, 266, 281

hyperstate, 261 Mass flux, 254, 257 Master equation, 279-280 Maxwell's equations, 185 Mean curvature, 18 Mean density, 115 Mean free path, 139, 142 Mean moment, 186 Mean polarizability, 190 Mixtures, 198, 320

binary, 198, 199 nonpolar, 199 theory of, 253 Molar density, 185

Molecular association, 199, 200 Molecular chaos, 263, 265

Molecular fluctuations, time scale of, 261 Moments

induced, 190 molecular, 180 permanent electric, 198 Momentum

flow, 257 transport of, 263

S U B J E C T INDEX

425

Momentum autocorrelation function, 286, 291, see also Autocorrelation func- tion

Momentum transfer, 135 Monochromation problems, 129 Monomer pairs, 198

Multiphonon expansion, 163 Multiphonon interactions, 142 Multiphonon term, subtraction of, 163 Multipole effects

external field, 190 quadrupole moments, 191 Multipole moment, 184, 189 Mutual diffusion, 312

in liquid nitrogen, 342 in mixtures, 294

National Bureau of Standards, 360 Navier-Stokes equation, 254

Nearest neighbor distances, 35-36, 79 Nearest neighbors, number of, 66, 67,

87, 90

Neighbor-distance, 186 Neutron cross section, 176

Neutron scattering, 36, 88, 98, 163, 170 coherent, 124, 161

collimation systems for, 35 crystal spectrometer, 139 diffraction pattern, 143, 159 energy distributions, 153-155 experimental technique, 128 inelastic spectrum, 163 intensity distribution, 159, 160 observed and derived quantities, 119 quantum effects, 127

quasi-elastic, 122, 123 results, 119-180 spectrum, 173

x-ray scattering, and comparison of, 35 Neutron spectrometers

characteristics, 130 double crystal, 132 time-of-flight, 129 Neutron spectrum, 122

inelastic, 123

Neutron wave vectors, 120 Neutron wavelength, 135, 139 Neutrons, 217

inelastically scattered, 124 monoenergetic, 133

recoiling mass of, 146 scattering functions, 148 time-of-flight spectrometer, 139 wavelength distribution, 120, 138 Newtonian fluid, 254

Nondissipative process, 288 Non-Markovian equations, 286 Non-Markovian structure, 279 Nuclear dipole-dipole interactions, 205 Nuclear gyromagnetic ratio, 204 Nuclear magnetic resonance, 120, 2 0 3 -

213 Nuclear relaxation

mixtures, 212 time decay, 203 Nuclear spin, 204-206 Nuclear spin-echo method, 322 Nucleation theory, critical droplets, 18 Occupation fraction, 90

Octahedral symmetry, 198

Octupole-induced dipole interactions, 190 One-center wave function, 190

Onsager-Kirkwood theory, 199 Opalescence

critical, 113, 114, 116 persistence length, 113 van der Waals gas, 113 Optical frequencies, 191, 192 Optical path length, 114 Optical spectroscopy, 216 Optical thickness, minimum, 19 Ornstein-Zernike-Debye plot, 114

linear extrapolation of, 102 Ortho-para conversion energy, 171 Ortho- and para-molecules, effective an-

isotropic interactions, 209 Orthobaric liquid line, 1, 2

heat capacities, 2-3

Orthobaric volume, 3, 9, 10, 15

Orthogonality conditions in high density fluids, 189

Oscillations

elimination of, 34 o f g ( r ) , 3 4 Overlap effects, 188

changes in boundary conditions, 188 near-harmonic potential field, 188 polarizability, 188

Overtone frequencies, 234

426

Pair correlation function, 32, 77, 79, 87, 124, 125, 135, 137, 150, 151, 153, 155, 157, 203, 256, 264, 271, 283, 304, 333

classical interpretation, 121 at contact, 270, 285 equilibrium, 203 experimental, 31

Fourier transforms of, 120 long-range behavior of, 32, 33 maximum position of, 61, 77 from neutron scattering, 34

obtained by neutron diffraction, 79, 142

principal maximum of, 36 static, 124

from x-ray and neutron data, agree- ment of, 35

from x-ray scattering, 33

Pair distribution function, see Pair cor- relation function

Pair number density, 22 discontinuous, 24

Pair potential, density dependence of, 67 Partial fluidity, 295

Permanent multipole moments, 190 Permittivity, 185

Perturbation theory, 184, 206, 277 Phase of system, 260

Phase velocity, 190

Phenomenological analyses, 255 Phonons, 126, see also Sound Phonon spectrum, see also Liquids

high frequency acoustic, 112 Poincaré recurrence time, 278 Poisson-Rayleigh formula, 24 Polarizability, 184, 192, 200

anisotropically, 199 average, 188 effective, 189

frequency-dependent, 183 Polarizability-calculations, 183 Polarization, 184, 186

electric, 185 induced, 184 molar, 198, 200 surface, 187 Polarized spins, 204

Potential, see Intermodular forces, Pair potential

P-Q-R branch structure, of methane, 245 Pressure tensor, 304

Proton relaxation, 210

Quadrupole moment, 184, 189, 190, 192, 197, 224

nuclear electric, 205

Quantum correction, first-order, 315 Quantum-liquid

behavior of, 97

transport phenomena in, 314 Quantum number, rotational, 168 Quasi-Brownian motion, 265, 266, 269 Quasi-crystalline model, 259

Quasi-elastic, 163, 170, 172, 175 Quasi-elastic peak, 121, 176 Quasi-gas models, 255

Quasi-phonons, concept of, 146 Quasi-solid models, 255

Quasi-spherical nonpolar molecules, 207 Radial distribution function, see Pair cor-

relation function

Radial intermolecular pair potential, 190 Raman scattering, 222, see also Raman

spectrum

Raman spectroscopy, 215 Raman spectrum, 216, 217, 221

of liquid hydrogen, 229 of liquid methane, 2, 245 of liquid nitrogen, 243 of liquid oxygen, 237 stimulated, 237 Rare gas dimer, 218-220 RASSD theory, 296-298 Rate of strain, 254

Rayleigh-Brillouin-Mandelstam spectrum, 324

Rayleigh ratio, 112

Rayleigh scattering, 116, 323 spectrum of, 324

Reduced temperature, 207 Reflection coefficient, 19

Reflection spectrum, of liquid xenon, 247 Refraction, molecular, 199

Refractive index, 113, 116, 184, 190-192, 196, 200, 257

absolute value, 191, 196

SUBJECT INDEX

427

data, 192, 195

infinite wavelength, 192, 196 zero frequency, 196

Relaxation time, 120, 203, 267, 269, 288, 323

deuterium substitution, 210 diatomic molecules, 205

impurity and wall effects, 207, 208 interatomic dipolar fields, 208 intramolecular interactions, 205 longitudinal, 203-204

monatomic systems of small atoms, 205

spin-lattice, 204 spin-spin, 204

steady state saturation method, 204 transient methods, 205

transverse, 204 Residential time, 122, 123 Resolution, instrumental, 171 Resolution function, 154, 155 Resolvent operator, 286 Resonant frequency, 204 RFL equation of state, 18

Rice-Allnatt equation, 267, 268, 281 Rice-Allnatt theory, 283, 293

of mixtures, 296 validity of, 336 Rigid core repulsion, 268 Rigid sphere fluid, 252 Rotating cylinder, 320

Rotation spectrum of liquid nitrogen, 243 Rotational and translation motions, cou-

pling of, 227

Rotational constants for gaseous, liquid, and solid hydrogen, 229

Rotational quantum number, 223 Rotational states, 167, 168

of orthohydrogen and parahydrogen, 223

Rotational transitions, 169 Roton, 140-142

Roton excitation, 146

Roton minimum, 143, 145, 146 Rough sphere model, 356 S branch

of orthohydrogen, 223 of parahydrogen, 223 Saturation line, 1-3

Scattering angle, 112, 135, 139 smallest accessible for X-rays, 113 Scattering cross section, see Cross section Scattering function, 124, 127, 180

intermediate, 155 Scattering laws, 120, 177

energy distributions of, 158 Scattering lengths, 121

Scattering surface, of liquid argon, 154 Scattering theory, 206

Schumann-Runge bands, 237, 238 Scintillation

in gaseous helium, 217 in He-N2 gas phase, 218 in liquid argon, 218 Sedgwick-Collins theory, 293

Self correlation function, 157-159, see also Autocorrelation function Self-diffusion, 122, 124, 275, 290, 302,

325, 327, 328, 331, 360, 370 corresponding states, 291

in crystalline medium, 258 determination of, 322 for liquid argon, 332

Shear viscosity, 254, 273, 284, 285, 287, 289, 290, 292, 293, 295, 299, 305, 307, 308, 313, 324, 325, 329, 337, 362

for argon-methane, 345 of binary system, 306 determination of, 320 heat of vaporization and, 329 of isotopic pairs, 352 krypton-argon, 345 krypton-methane, 345 of liquid argon, 330 pressure dependence of, 321 temperature dependence, 330

"Simple" spherical nonpolar molecules, 207

Singlet distribution function, 263, 269, see also Distribution function Slater orbitals, 190

Slow neutrons, 119-120 Small step diffusion theory, 333 Soft attractive forces, 287 Sound

attenuation of, 321

speed of, 3, 4, 6, 9, 13, 141, 165, 323 Sound absorption, theory of, 324

428

Spectrometer crystal, 153 double crystal, 133

rotating crystal, 133, 134, 138, 139, 141, 173

time-of -flight, 131, 159

Spectrum, see also Absorption spectra, Infrared spectra, Raman spectrum of CO as solute in carbon tetrachlo-

ride, 233

of hydrogen in liquid argon, 225 of liquid CO, 233

liquid hydrogen, 224 Spin-echo experiment, 171, 281 Spin-lattice interactions, 205, 207 Spin-lattice relaxation, 205-206

Spin-lattice relaxation time, experimental measurements, 206-213

Spin-rotation interaction, 205 Spin-rotational relaxation, 212 Spin Zeeman levels, 205

Square-well model, transport properties, 333

Square-well theory for liquid mixtures, 346

Stationary state, 260-261 Stress tensor, 254, 298 Structure factor, 125

atomic, 87

liquid, 33, 35, 43, 87, 97, 134, 135, 177 molecular, 34, 89

static, 134 Superfluid state, 141 Surface, see Interface Surface energy, 25 Surface excess matter, 18 Surface tension, 17-28

bulk pair density, 22 capillary rise method, 24 capillary waves, 23 cell model, 24

coupling parameters, 22-23 degree of freedom, 18 density function, 23

expressed as functional integral, 23 free energy density, 23

hydrostatic arguments, 22

invariant work of formation of new phase, 23

model of, 23

optical measurements, 24 partition function, 22 quantum effect, 20^21 reduced, 20

significant structure theory, 24 singlet number densities, 22 thermodynamic properties, 18 Susceptibility, electric, 185

Temperature scale, international, 10 Tetrahedral symmetry, 196

Thermal conductivity, 254, 273, 284, 285, 290, 293, 296, 310, 321, 324-326, 348, 360, 367

corresponding states, 291, 301 dimensionless form, 301 of liquid argon, 331 in mixtures, 294, 300, 301

of nitrogen-oxygen mixtures, 338, 341 of rough spheres, 316

temperature dependence, 330 Thermal diffusion factor, 303

for binary mixture, 302 Thermal diffusion ratio, 312 Thermal expansion coefficient, 2

quantal effects, 15

Thermal pressure coefficient, 2, 13 Thermodynamic fluctuations, 323 Thermodynamic functions

primary properties, 3 secondary properties, 3

Thermodynamic stability, inequalities, 14 Time coarse graining, 280

Time smoothing, 268, 276 Time-smoothing technique, 260 Transition

liquid-vapor, 39

para-ortho, 167, 168, 170 Transition regions, 184, 200 Translational diffusion, 208

"Translational fluctuation effect," 187 Transmission geometry, 174

Transmittance, 115

Transport coefficients, 252, 254, 255, 259, 261, 273, 277, 279, 282, 286, 289, 304, see also specific coefficients such as shear viscosity

corresponding states theory, 294 determination of, 320

SUBJECT INDEX

429

experimental methods, 320 intermolecular potential, 328 isotope effect, 358

law of corresponding states for, 289 of liquid mixtures, 344

literature survey, 360 in mixtures, 294 reduced, 327

soft interaction contribution, 308 temperature dependence, 328 Transport phenomena, 251-402

activated state theory, 253, 257 autocorrelation function theory, 253 comments on theory of, 254 corresponding states theory, 253 in dilute gas, 262-263

frequency dependent, 288 phenomenological analyses, 289 quasi-crystalline model, 255 simple models, 255

statistical mechanical theory, 253 statistical theories, 259

Transport properties

associated excess quantities, 346 of multicomponent system, 298 quantum mechanical principle of cor-

responding states, 356 Transport theory

complex liquids, 314 quantum effects, 314 summary of, 313

Transverse magnetization, 204 Triple point, 1, 5, 10, 41, 52, 89

density, 4 pressure, 4 Turbidity, 114

Ultrasonic attenuation, 334

Vacancies, relative probability of, 90 Vacuum ultraviolet, 216

van der Waals gas, 14, 15 Vapor pressure, 3, 4, 10, 39

Variation-perturbation techniques, 184 Variational procedures, 184

Variational wave functions, 188 Vegard-Kaplan bands, 218

Velocity autocorrelation function, 332 Velocity distribution function, 278 Velocity selector, phased rotor, 129

Velocity of sound, see Sound, speed of Vibrational band frequencies, pressure-

induced displacements, 226 Vibrational band shape of CO in N2, 234 Vibrational excitation, 223

Vibrational-rotational spectrum, of liquid hydrogen, 228

Vibrational spectra, of simple molecule fluids, 216

Vibrational spectroscopy, 216 Vibrational transition, 223 Virial coefficients, 190

dielectric, 187

temperature-dependence, 190 Viscometer, capillary flow, 321

Viscosity, 282, 326, 328, 331, 358, 360, see also Shear viscosity, Bulk vis- cosity

of argon-krypton mixtures, 338, 349 of argon-methane mixtures, 339, 350 of argon-oxygen mixtures, 340, 353 hydrogen and deuterium, 354

of krypton-methane mixtures, 339, 351 of methane-deuteromethane mixtures,

339, 352 in mixtures, 294

mutual diffusion coefficients, 300 of nitrogen-carbon monoxide mixtures,

340, 353

of nitrogen-oxygen mixtures, 341, 353 quasi-crystalline model, 257

reduced, 291, 355, 356 of rough spheres, 316 Volume charge density, 185 Wave vector transfer, 149 Weak coupling, 271 Wei-Davis theory, 294, 307

X-ray absorption, corrections for, 34 X-ray and neutron scattering

comparison of, 35 reliability of, 67 X-ray data, 81

X-ray scattering, 88, 113

angular distribution of intensity, 93 correction for incoherence, 34 extrapolation of, 96

large angle, 33 small angle, 33, 90, 113

430

X-ray scattering intensity Zeeman Hamilton, 206

corrections for polarization, 34 Zero-density molar polarizability, 196 normalization of, 34 Zero frequency, see subheading static un- plots of reciprocal, 100 der various properties

X-ray intensity, zero angle, 93