The dynamics of disordered lattices

Absence of Diffusion in Certain Random Lattices

1958 • 11,492 citations

Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules

1967 • 8,657 citations

The algebraic eigenvalue problem

1965 • 5,953 citations

The Principles of Quantum Mechanics

1958 • 5,486 citations

Zur Quantentheorie der Molekeln

1927 • 4,387 citations

Coherent-Potential Model of Substitutional Disordered Alloys

1967 • 2,571 citations

Correlations in the Motion of Atoms in Liquid Argon

1964 • 2,482 citations

Phase Transition for a Hard Sphere System

1957 • 2,419 citations

Studies in Molecular Dynamics. I. General Method

1959 • 2,318 citations

Quantum Theory of Solids

1963 • 1,944 citations

Molecular Dynamics Study of Liquid Water

1971 • 1,365 citations

The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal

1953 • 1,357 citations

Raman-Scattering Selection-Rule Breaking and the Density of States in Amorphous Materials

1970 • 1,168 citations

Vibrational analysis of the n-paraffins—II

1963 • 1,128 citations

An Introduction to Fourier Analysis and Generalized Functions.

1959 • 950 citations

Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres

1960 • 796 citations

Vibrational Study of the Chain Conformation of the Liquid n-Paraffins and Molten Polyethylene

1967 • 774 citations

Vibrational Properties of Imperfect Crystals with Large Defect Concentrations

1967 • 707 citations

The Dynamics of a Disordered Linear Chain

1953 • 660 citations

The lattice dynamics of an anharmonic crystal

1963 • 656 citations

Numerical studies of localization in disordered systems

1972 • 582 citations

The Vibrational Properties of Disordered Systems: Numerical Studies

1972 • 567 citations

Point Defects and Diffusion

1973 • 547 citations

Atomic vibrations in vitreous silica

1970 • 503 citations

The energy spectrum of disordered systems

1964 • 497 citations

A relation between the density of states and range of localization for one dimensional random systems

1972 • 451 citations

Effect of Defects on Lattice Vibrations

1955 • 412 citations

Infrared Lattice Absorption in Ionic and Homopolar Crystals

1955 • 396 citations

The structure of vitreous silica: Validity of the random network theory

1972 • 372 citations

Infrared studies on polymorphs of silicon dioxide and germanium dioxide

1958 • 346 citations

Absorptivity of Ice I in the Range 4000–30 cm−1

1969 • 344 citations

The nature of the electronic states in disordered one-dimensional systems

1963 • 316 citations

Disordered One-Dimensional Crystals

1957 • 297 citations

Infrared Spectra of Ices Ih and Ic in the Range 4000 to 350 cm—1

1964 • 292 citations

Localization of Normal Modes and Energy Transport in the Disordered Harmonic Chain

1970 • 263 citations

Conformational Analysis of Macromolecules. II. The Rotational Isomeric States of the Normal Hydrocarbons

1966 • 254 citations

Existence of Mobility Edges in Anderson's Model for Random Lattices

1972 • 251 citations

Heat Flow in Regular and Disordered Harmonic Chains

1971 • 242 citations

The vibrations of an atom of different mass in a cubic crystal

1963 • 238 citations

Optical Spectra of Orientationally Disordered Crystals. II. Infrared Spectrum of Ice Ih and Ice Ic from 360 to 50 cm−1

1967 • 228 citations

The low-temperature heat capacity and the Raman and Brillouin spectra of vitreous silica

1959 • 227 citations

The vibrational spectra of vitreous silica, germania and beryllium fluoride

1968 • 226 citations

Some problems of the dynamic theory of non-ideal crystal lattices

1956 • 225 citations

Quantitative x‐ray studies of order in amorphous and crystalline polymers. Quantitative x‐ray determination of crystallinity in polyethylene

1951 • 202 citations

Some effects of point defects on the vibrations of crystal lattices

1965 • 200 citations

Localization of normal modes in vitreous silica, germania and beryllium fluoride

1970 • 193 citations

Vibrational spectra of diatomic chains

1960 • 192 citations

Optical Spectra of Orientationally Disordered Crystals. I. Theory for Translational Lattice Vibrations

1967 • 181 citations

Raman spectra of vitreous silica, germania and sodium silicate glasses

1970 • 176 citations

Theory of Optical Absorption by Vibrations of Defects in Silicon

1963 • 171 citations

Phonons and phonon interactions

1965 • 165 citations

Properties of Vitreous Silica: Analysis of Random Network Models

1966 • 159 citations

Localized states in disordered systems

1971 • 155 citations

Vibrations of random dilute alloys

1967 • 142 citations

Optical properties of SbSeI in the infrared

1970 • 142 citations

Effect of Defects on Lattice Vibrations: Interaction of Defects and an Analogy with Meson Pair Theory

1956 • 138 citations

Localization of electrons in ordered and disordered systems II. Bound bands

1969 • 138 citations

The infra-red and Raman spectra of ice

1958 • 135 citations

Lattice Green's Function. Introduction

1971 • 132 citations

Localization in Disordered Materials: Existence of Mobility Edges

1970 • 131 citations

Lattice Thermal Conductivity in Disordered Harmonic and Anharmonic Crystal Models

1967 • 129 citations

Anderson's theory of localized states

1970 • 129 citations

Theory of Quantum Crystals

1969 • 127 citations

Vibrational spectra of diatomic chains. II

1961 • 126 citations

Dynamics of Disordered Harmonic Lattices. I. Normal-Mode Frequency Spectra for Randomly Disordered Isotopic Binary Lattices

1967 • 121 citations

Simulation of Nonharmonic Interactions in a Crystal by Self-Consistent Reservoirs

1970 • 119 citations

Localization in One-Dimensional Disordered Systems

1971 • 116 citations

Structure of Neutron‐Irradiated Quartz and Vitreous Silica

1957 • 115 citations

Frequency Spectrum of a Disordered One-Dimensional Lattice

1961 • 113 citations

Phonon Spectrum Changes in Small Particles and Their Implications for Superconductivity

1968 • 112 citations

Raman Spectra of Ices Ih, Ic, II, III, and V

1964 • 111 citations

Lattice vibrations

1963 • 109 citations

Pair Effects and Self-Consistent Corrections in Disordered Alloys

1969 • 101 citations

Infrared Absorption Spectrum of Silicon Dioxide

1965 • 100 citations

Vibrations of glass-like disordered chains

1964 • 95 citations

Self-Consistent Average Green's Function in Random Lattices: A Generalized Coherent-Potential Approximation (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>) and Its Diagrammatic Equivalents

1971 • 93 citations

Phonons: In Perfect Lattices and in Lattices with Point Imperfections

1967 • 92 citations

Momentum Autocorrelation Functions and Energy Transport in Harmonic Crystals Containing Isotopic Defects

1963 • 92 citations

Equivalence of Expanding in Localized or Bloch States in Disordered Alloys

1970 • 91 citations

Structure and Motion in Liquid BeF2, LiBeF3, and LiF from Molecular Dynamics Calculations

1972 • 91 citations

Higher-order terms in the dielectric constant of ionic crystals

1959 • 90 citations

The nature of the electronic states of a disordered system. I. Localized states

1972 • 83 citations

The infra-red spectra of crystals

1960 • 83 citations

A symptotic formulae relating to the physical theory of crystals

1944 • 81 citations

Precise Vibrational Frequency Distributions and the Second-Order Raman Spectrum and Specific Heat of NaCl

1966 • 80 citations

Normal mode assignments in vitreous silica, germania and beryllium fluoride

1971 • 78 citations

Quantum Theory on a Network. I. A Solvable Model Whose Wavefunctions Are Elementary Functions

1970 • 77 citations

Vibrational spectrum of chain molecules with conformational disorder: polyethylene

1971 • 77 citations

Vibration Frequency Spectra of Disordered Lattices. I. Moments of the Spectra for Disordered Linear Chains

1959 • 76 citations

A study of vibrations of boron and phosphorus in silicon by infra-red absorption

1965 • 74 citations

A method for determining the frequency spectra of disordered lattices in two-dimensions

1960 • 73 citations

Vibration Frequency Spectra of Disordered Lattices. II. Spectra of Disordered One-Dimensional Lattices

1959 • 70 citations

Localization in Disordered Materials: Binary Alloys

1970 • 69 citations

Dynamics of Distorted Harmonic Lattices. II. The Normal Modes of Isotopically Disordered Binary Lattices

1967 • 65 citations

On the Vibration of Disordered Linear Lattice

1957 • 63 citations

Frequency Spectrum of Hydrogenous Molecular Solids by Inelastic Neutron Scattering. Hexagonal H2O Ice

1968 • 63 citations

Impurity induced first order Raman scattering of light byalkali-halide crystals

1965 • 60 citations

Electron Localization in Disordered Systems

1972 • 59 citations

The scattering of light in fused quartz and its Raman spectrum

1953 • 56 citations

Resonance Scattering of Lattice Waves by Isotopes

1963 • 56 citations

Astrophysics and the many-body problem

1964 • 54 citations

Atomic Vibrations in Solids

1967 • 52 citations

Vibrations of two-dimensional disordered lattices

1965 • 50 citations

Localization of Normal Modes and Energy Transport in the Disordered Harmonic Chain

1971 • 48 citations

The Nature of Vibrational Modes in Disordered Systems

1963 • 46 citations

Scattering of phonons from a substitutional impurity

1965 • 45 citations

Dynamics of Disordered Harmonic Lattices. III. Normal-Mode Spectra for Abnormal Arrays

1968 • 44 citations

Eigenvalues of Composite Matrices

1961 • 44 citations

Vibrational spectra of simple silicate glasses

1970 • 40 citations

Self-Consistent Field Approximation for the Frequency Spectrum of a Disordered Chain

1963 • 39 citations

The ring band of cyclo-silicates

1963 • 37 citations

Effect of Force-Constant Changes on the Coherent Neutron Scattering from Face-Centered Cubic Crystals with Point Defects

1969 • 37 citations

Investigation of lattice dynamics by means of vibronic spectra

1968 • 37 citations

Localization of electron wave functions in disordered systems

1972 • 36 citations

Localization Lengths of Electronic States in One-Dimensional Disordered Potential Chains

1972 • 36 citations

Vibrational Analysis of Random Polymers

1968 • 35 citations

Special Frequencies in the Vibrational Spectra of Disordered Chains

1964 • 34 citations

Localization lengths in one-dimensional disordered systems

1972 • 33 citations

Effect of Force-Constant Changes on the Incoherent Neutron Scattering from Cubic Crystals with Point Defects

1968 • 33 citations

Vibrational Modes of Disordered Linear Chains

1962 • 33 citations

Phonons in Perfect Crystals

1967 • 33 citations

The vibrational spectra of disordered chains

1961 • 32 citations

Calculation of the Frequencies and Widths of Phonons in Cu_0.97Au_0.03

1971 • 32 citations

Infrared absorption of glassy silicon dioxide

1968 • 31 citations

Localization of electron states in two dimensional disordered potential arrays

1971 • 30 citations

Some exact results for the vibrational spectrum of a disordered chain

1964 • 30 citations

Scattering of phonons from a substitutional impurity in body-centred cubic and face-centred cubic lattices

1966 • 30 citations

The vibrational spectrum of a disordered linear system

1964 • 30 citations

The computation of lattice frequency distribution functions by means of continued fractions

1968 • 30 citations

Atomic vibrations in orientationally disordered systems. II. Hexagonal ice

1972 • 29 citations

The anderson model

1972 • 29 citations

The one-electron metal-insulator transition in disordered systems

1972 • 28 citations

Infra-red and Raman spectra of glasses. Part 2.—Far infra-red spectrum of vitreous silica in the range 100–15 cm^–1

1970 • 27 citations

Use of Morphic Effects for the Study of Vibrational and Optical Properties of Impurity Atoms in Crystals

1967 • 25 citations

Vibrations of Disordered Solids

1968 • 25 citations

Energy Bands in One-Dimensional Aperiodic Potentials

1970 • 25 citations

A Theory of the Lattice Vibration of Anharmonic Solids

1970 • 24 citations

Scattering of long-wavelength phonons by point defects in cubic lattices

1969 • 24 citations

Structure of the Spectra of Disordered Systems. I

1964 • 22 citations

Dynamics of a Disordered Diatomic Chain

1969 • 21 citations

The nature of the electronic states of a disordered system. II. Extended states

1972 • 21 citations

Coarse-Grained Quantities in Aperiodic Systems

1966 • 21 citations

Remarks on Matsuda's Theorem

1964 • 18 citations

Étude d'un modèle dynamique du réseau cristallin de la glace

1969 • 18 citations

Effect of Chain Conformations on the Frequency Distribution of an Idealized Chain

1966 • 17 citations

Lattice vibrations and infrared absorption of mixed linear chains

1969 • 16 citations

Vibrational Spectrum of a One-Dimensional Chain with Randomly Distributed Impurity Springs

1966 • 16 citations

Vibrations of Glasslike Disordered Systems. II. The A2B3 Network in Two Dimensions—Application to Vitreous As2Se3 and As2S3

1972 • 15 citations

The vibrational spectrum of an isotopically disordered crystal

1966 • 15 citations

The vibration spectra of disordered lattices

1959 • 14 citations

Calculated impurity induced Raman scattering in CsCl

1972 • 13 citations

A Green's Function Method for the Frequency Spectrum of an Isotopically Disordered Lattice

1962 • 13 citations

Infrared spectra of glass network formers and their interpretations

1968 • 13 citations

Vibrations of a Chain with Glass-Like Disorder

1967 • 12 citations

Optical Spectra of Orientationally Disordered Crystals. IV. Effects of Short-Range Correlation of Orientations

1972 • 12 citations

Vibrational frequency spectra of randomly folded simple zig-zag chains

1968 • 12 citations

Localization in a topologically disordered chain

1972 • 12 citations

Strict bounds for out-of-band frequencies due to impurities and defects in solids

1968 • 12 citations

Structure of the Spectra of Disordered Systems. III

1964 • 11 citations

Raman spectra and structure of certain inorganic types of glass

1958 • 11 citations

Atomic vibrations in hexagonal Ice I

1969 • 9 citations

Band Gaps in Certain Aperiodic Systems

1965 • 9 citations

Localized eigenstates in disordered systems: Application to photons

1971 • 9 citations

Phonon Scattering by Line Defects

1971 • 8 citations

A method for extending the calculation of the number of even moments of the vibrational frequency spectrum of a crystal

1970 • 8 citations

Normal Vibrations of Ice and Heavy Ice

1960 • 8 citations

Coarse-grained Quantities in Aperiodic System. II

1967 • 8 citations

Degree of localization in three dimensional disordered systems

1972 • 8 citations

Vibrational Spectrum of a Two-Dimensional Disordered Lattice

1962 • 7 citations

Degree of localization in the three dimensional disordered system: II

1973 • 7 citations

The effect of a strong next-nearest neighbours interaction on the frequency distribution function of a disordered diatomic chain with an infinite heavy mass

1967 • 7 citations

Calculated infrared absorption induced by impurities in CsCl and CsI

1971 • 7 citations

Electronic density of states in disordered alloys

1972 • 7 citations

Spectral Symmetry in Lattice Dynamical Models

1968 • 7 citations

Atomic vibrations in orientationally disordered systems. I. A two dimensional model

1972 • 7 citations

Raman scattering of light from H— centers in CaF2

1965 • 6 citations

Two-phonon absorption processes in liquid octane, decane, hexadecane and nujol

1971 • 6 citations

Coherent potential theory of off-diagonal randommess: Binary alloy

1972 • 6 citations

Phonon scattering by substitutional impurity in cubic lattices

1970 • 5 citations

Frequency spectra of disordered chains in next-nearest neighbour interaction

1970 • 5 citations

Integrated Spectra of an Isotopically Disordered Linear Chain

1965 • 4 citations

Formulae for the frequencies of a defect cluster in one dimension

1967 • 4 citations

The computation of high order frequency distribution function moments for isotopically disordered lattices

1968 • 4 citations

Vibrations of Glasslike Disordered Systems. I. Diatomic Chains in Two Dimensions

1971 • 4 citations

Linear Equations for the Green's Functions of Crystal Lattices. A Possibility of Approximate Calculation

1966 • 4 citations

Functional Equations for the Vibrational Spectra of Diatomic Chains

1960 • 3 citations

Theory of two-phonon absorption processes in liquid paraffins

1972 • 2 citations

Green's functions for body-centred cubic lattices

1967 • 2 citations

Coarse-Grained Quantities in Aperiodic Systems. III

1968 • 1 citations

A Note on the Lattice Vibration with Glass-Like Disorder

1971 • 1 citations