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The determination of the elastic constants of natural almandine-pyrope garnet by rectangular parallelepiped resonance method

Data up to Jan 2025

Published1988
Citations42
References824

Total Citations Per Year

Abstract

References (824)

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1957 • 319 citations

Compression mechanisms in α-quartz structures—SiO2 and GeO2

1978 • 316 citations

Equation of state of polycrystalline and single-crystal MgO to 8 kilobars and 800°K

1970 • 316 citations

Composition of the upper mantle: Geophysical tests of two petrological models

1984 • 309 citations

Elastic moduli of perfectly disordered composite materials

1967 • 305 citations

Effects of temperature and pressure on the crystal structure of forsterite

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1962 • 303 citations

Equations of state of FeO and CaO

1980 • 299 citations

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1957 • 298 citations

Equations of state and crystal structures of high‐pressure phases of shocked silicates and oxides

1969 • 296 citations

Measurement of single-crystal elastic constants of bronzite as a function of pressure and temperature

1972 • 295 citations

Elastic constants of single-crystal forsterite as a function of temperature and pressure

1969 • 295 citations

Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with orthorhombic symmetry

1979 • 294 citations

Single‐crystal elastic properties of the spinel phase of Mg2SiO4

1984 • 294 citations

Composition of the Earth's Mantle

1937 • 292 citations

Pressure Measurement at High Temperature in X-Ray Diffraction Studies: Gold as a Primary Standard

1982 • 288 citations

Thermodynamics and lattice vibrations of minerals: 1. Mineral heat capacities and their relationships to simple lattice vibrational models

1979 • 288 citations

Elasticity of enstatite and its relationship to crystal structure

1988 • 288 citations

Grüneisen Gamma from Elastic Data

1967 • 287 citations

Brief report: The bulk modulus-volume relationship for oxides

1970 • 287 citations

Elastic Constants of Hexagonal BeO, ZnS, and CdSe

1967 • 285 citations

The effect of cracks in rocks on Poisson's ratio

1965 • 284 citations

Lattice Parameters of Nine Oxides and Sulfides as a Function of Pressure

1966 • 279 citations

Static compression of iron to 78 GPa with rare gas solids as pressure‐transmitting media

1986 • 278 citations

Pressure Dependence of the Elastic Constants of Single Crystalline Aluminum Oxide

1968 • 276 citations

Pressure Derivatives of Elastic Constants of Single-Crystal MgO at 23o and -195.8oC

1966 • 275 citations

Review of Some Experimental and Analytical Equations of State

1969 • 273 citations

Elasticity of muscovite and its relationship to crystal structure

1986 • 273 citations

Crystal structure and compressibility of zircon at high pressure

1979 • 272 citations

Bulk modulus—volume relationship for cation‐anion polyhedra

1979 • 268 citations

Equation of state of NaCl: Ultrasonic measurements to 8 kbar and 800°C and static lattice theory

1972 • 264 citations

Measurement of the Very-High-Pressure Properties of Materials using a Light-Gas Gun

1966 • 264 citations

Single crystalline elastic constants of ferromagnetic face centered cubic Fe-Ni invar alloys

1973 • 263 citations

The single‐crystal elastic moduli of stishovite

1982 • 263 citations

Synthesis of a perovskite-type polymorph of CaSiO3

1975 • 262 citations

Effect of High Pressures on the Compressibilities of Seven Crystals Having the NaCl or CsCl Structure

1965 • 259 citations

High pressure research—applications in geophysics

1978 • 259 citations

Densities of Liquid Silicates at High Pressures

1984 • 259 citations

High-Pressure crystal chemistry of spinel (MgAl2O4) and magnetite (Fe3O4): Comparisons with silicate spinels

1986 • 258 citations

Elasticity of coesite

1977 • 257 citations

The thermal boundary-layer interpretation of D″ and its role as a plume source

1983 • 255 citations

Homogeneity and constitution of the earth's lower mantle and outer core

1975 • 255 citations

The seismic velocity structure of a traverse through the Bay of Islands Ophiolite Complex, Newfoundland, An exposure of oceanic crust and upper mantle

1978 • 254 citations

High-pressure structural study of diopside

1981 • 251 citations

Mineralogy and composition of the upper mantle

1984 • 248 citations

The Elasticity of Periclase to 3 GPa and Some Geophysical Implications

1982 • 245 citations

The eclogite-garnetite transformation at high pressure and some geophysical implications

1986 • 244 citations

Thermal expansion of silicate perovskite and stratification of the Earth's mantle

1986 • 243 citations

Some Simple Isothermal Equations of State

1966 • 243 citations

The system MgO-FeO-SiO2 at high pressures and temperatures — phase equilibria and elastic properties

1972 • 243 citations

Collected experimental papers

1964 • 241 citations

Equation of State of NaCl and Its Use as a Pressure Gauge in High-Pressure Research

1965 • 239 citations

Shock temperatures of SiO2 and their geophysical implications

1983 • 239 citations

Equations of state of MgO and ε Fe under static pressure conditions

1979 • 238 citations

Theory of the lattice energy, equilibrium structure, elastic constants, and pressure-induced phase transitions in alkali-halide crystals

1975 • 237 citations

Equation for thermal expansivity in planetary interiors

1967 • 233 citations

The Elastic Stiffness Moduli of Diamond

1972 • 233 citations

Elastic constants of single-crystal rutile under pressures to 7.5 kilobars

1969 • 231 citations

Compressional wave velocities in possible mantle rocks to pressures of 30 kilobars

1974 • 231 citations

Absolute pressure measurements and analysis of diamonds subjected to maximum static pressures of 1.3–1.7 Mbar

1979 • 231 citations

Shock compression of feldspars

1969 • 230 citations

Effective elastic moduli under hydrostatic stress—I. quasi-harmonic theory

1974 • 230 citations

The effect of temperature and partial melting on velocity and attenuation in a Simple Binary System

1968 • 228 citations

Laser heating in the diamond anvil press up to 2000°C sustained and 3000°C pulsed at pressures up to 260 kilobars

1974 • 228 citations

Convection, composition, and the thermal state of the lower mantle

1979 • 227 citations

Bulk moduli and high-pressure crystal structures of rutile-type compounds

1981 • 225 citations

Single-Crystal Elastic Properties of the Modified Spinel (Beta) Phase of Magnesium Orthosilicate

1984 • 225 citations

High-pressure behavior of MgO: Structural and electronic properties

1984 • 223 citations

Modified electron-gas study of the stability, elastic properties, and high-pressure behavior of MgO and CaO crystals

1976 • 223 citations

Elastic constants of garnet under pressure and temperature

1967 • 222 citations

Mineralogical constitution of the deep mantle

1962 • 222 citations

Structure and crystal chemistry of perovskite-type MgSiO3

1978 • 221 citations

High-pressure single-crystal structure determinations for ruby up to 90 kbar using an automatic diffractometer

1978 • 221 citations

Thermodynamics and lattice vibrations of minerals: 2. Vibrational characteristics of silicates

1979 • 220 citations

Velocity of compressional waves in various minerals at pressures to 10 kilobars

1964 • 219 citations

Wüstite (Fe1‐x O): A review of its defect structure and physical properties

1984 • 219 citations

Shock-Wave Compression and X-Ray Studies of Titanium Dioxide

1967 • 219 citations

Ultrasonic Methods for Measuring the Mechanical Properties of Liquids and Solids

1964 • 219 citations

Effects of temperature and pressure on the cell dimension and X-ray temperature factors of periclase

1976 • 218 citations

Thermochemical Properties of Synthetic High-Pressure Compounds Relevant to the Earth’s Mantle

1982 • 218 citations

Composition and Evolution of the Mantle and Core

1971 • 218 citations

Elastic constants of the central force model for cubic structures: Polycrystalline aggregates and instabilities

1971 • 218 citations

On the equation of state of stishovite

1963 • 217 citations

Elastic properties of garnet solid-solution series

1978 • 216 citations

Scaled electron gas approximation for intermolecular forces

1979 • 216 citations

Elastic properties of oxides in the NaCl-structure

1977 • 216 citations

Temperature Distribution in the Crust and Mantle

1986 • 216 citations

CaO and SrO single crystal elastic constants and their pressure derivatives

1972 • 216 citations

Hydrostatic compression of four corundum-type compounds: α-Al2O3, V2O3, Cr2O3, and α-Fe2O3

1979 • 215 citations

The elastic constants of single-crystal orthopyroxene

1969 • 214 citations

A revised method of operation of the single-crystal diamond cell and refinement of the structure of NaCl at 32 kbar

1978 • 212 citations

Relationship between Two-Body Interatomic Potentials in a Lattice Model and Elastic Constants

1972 • 209 citations

Elasticity of diopside

1979 • 206 citations

High-Temperature Elastic Properties of Polycrystalline MgO and Al2O3

1966 • 205 citations

Temperature coefficients of elastic constants of single crystal MgO between 80 and 1,300 K

1983 • 204 citations

Thermodynamics and lattice vibrations of minerals: 4. Application to chain and sheet silicates and orthosilicates

1980 • 204 citations

Equation of state of cubic solids; some generalizations

1968 • 203 citations

The thermodynamics of elastic deformation—I

1980 • 203 citations

B1-B2 Transition in Calcium Oxide from Shock-Wave and Diamond-Cell Experiments

1979 • 202 citations

On the temperature dependence of the bulk modulus and the Anderson-Grüneisen parameter δ of oxide compounds

1967 • 200 citations

Elasticity of orthoenstatite

1978 • 199 citations

Potential-induced breathing model for the elastic moduli and high-pressure behavior of the cubic alkaline-earth oxides

1986 • 198 citations

Elastic properties of a single-crystal forsterite Mg2SiO4, up to 1,200 K

1983 • 196 citations

High-pressure and high-temperature crystal chemistry of beryllium oxide

1986 • 196 citations

Pressure dependence of single-crystal elastic constants and anharmonic properties of spinel

1973 • 195 citations

Nonlinear pressure dependence of the elastic moduli of fused quartz up to 3 GPa

1981 • 195 citations

Shock compression of molten silicate: Results for a model basaltic composition

1988 • 195 citations

Simple Compressibility Relation for Solids

1973 • 195 citations

Static compression of wüstite (Fe0.98O) to 120 GPa

1985 • 194 citations

A seismic equation of state II. Shear properties and thermodynamics of the lower mantle

1987 • 194 citations

Equation of state of sodium chloride up to 32 kbar and 500°C†

1980 • 193 citations

Pressure and temperature derivatives of the elastic constants of caF2 and BaF2

1968 • 193 citations

Pressure derivatives of the elastic constants of α-iron to 10 kbs

1968 • 190 citations

Phase transitions and equations of state for the sodium halides: NaF NaCl, NaBr, and NaI

1983 • 190 citations

Microwave Elastic Properties of Nonmagnetic Garnets

1963 • 189 citations

Observational constraints on the chemical and thermal structure of the Earth's deep interior

1979 • 189 citations

The effect of pressure on the volume and lattice parameters of ruthenium and iron

1964 • 189 citations

Born model repulsive interactions in the alkali halides determined from ultrasonic data

1975 • 188 citations

Phase transformations and mantle dynamics

1972 • 188 citations

Phase transformations in the mantle

1968 • 186 citations

Crystal structures and compressibilities of pyrope and grossular to 60 kbar

1978 • 186 citations

The deep structure of continents

1979 • 185 citations

New Melting Law at High Pressures

1966 • 185 citations

Calculated mineral reactions in the Earth's mantle

1967 • 185 citations

Elastic properties from acoustic and volume compression experiments

1981 • 183 citations

Effect of pressure on the crystal structure and the lattice parameters of BaO

1972 • 183 citations

Effect of pressure and temperature on the molar volumes of Wüstite and of three (Fe, Mg)2SiO4spinel solid solutions

1969 • 181 citations

Properties of iron at high pressures and the state of the core

1979 • 179 citations

Reflection properties of phase transition and compositional change models of the 670‐km discontinuity

1983 • 179 citations

Compressibility of 22 elemental solids to 45 KB

1972 • 177 citations

Effects of temperature and pressure on interatomic distances in oxygen-based minerals

1988 • 176 citations

New Melting Law at High Pressures

1966 • 175 citations

Pressure Dependence of the Elastic Constants of SrTiO3

1971 • 173 citations

In situ determination of crystal structure for high pressure phase of ZrO2 using a diamond anvil and single crystal X-ray diffraction method

1986 • 173 citations

The Earth as a Planet: Paradigms and Paradoxes

1984 • 172 citations

On the fourth-order anharmonic equation of state of solids

1970 • 170 citations

The elastic constants of Mn2SiO4, Fe2SiO4 and Co2SiO4, and the elastic properties of olivine group minerals at high temperature.

1979 • 170 citations

Elasticity of MgSiO3 in the ilmenite phase

1985 • 170 citations

Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with monoclinic symmetry

1980 • 169 citations

Melting temperature, adiabats, and Grüneisen parameter of lithium, sodium and potassium versus pressure

1983 • 169 citations

The elastic constants of cassiterite SnO2and their pressure and temperature dependence

1975 • 168 citations

Thermally induced phase changes, lateral heterogeneity of the mantle, continental roots, and deep slab anomalies

1987 • 168 citations

Electron-gas theory of ionic crystals, including many-body effects

1981 • 168 citations

Chemical stratification of the mantle

1979 • 167 citations

Elasticity of single‐crystal orthoferrosilite

1984 • 166 citations

Optical technique for determining rarefaction wave velocities at very high pressures

1982 • 165 citations

Pressure dependence of the elastic constants of single-crystalline magnesium oxide

1969 • 165 citations

Variations of the Ultrasonic Pulse-Superposition Method for Increasing the Sensitivity of Delay-Time Measurements

1965 • 164 citations

Theory of binding of ionic crystals: Application to alkali-halide and alkaline-earth-dihalide crystals

1974 • 163 citations

Upper mantle anisotropy: A preliminary model

1986 • 163 citations

Experimental results on the pressure dependence of the Grüneisen parameter: A review

1980 • 162 citations

Elasticity of single crystal pyrope and implications for garnet solid solution series

1980 • 162 citations

Shock-wave compression of iron-nickel alloys and the Earth's core

1966 • 161 citations

Properties of iron at the Earth's core conditions

1986 • 161 citations

Thermal expansion of single-crystal manganosite.

1979 • 161 citations

Ultrasonic parameters in the born model of the lithium halides

1972 • 161 citations

Isothermal compression of magnetite to 320 KB

1974 • 161 citations

A mineral physics test of a pyrolite mantle

1985 • 159 citations

Pressure Dependence of the Elastic Constants of Calcite

1968 • 159 citations

Measurement of elastic constants and internal frictions on single-crystal MgO by rectangular parallelepiped resonance.

1976 • 158 citations

Lattice dynamics of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>-quartz

1975 • 158 citations

Calculation of Thermal Expansion, Compressiblity, an Melting in Alkali Halides: NaCl and KCl

1979 • 157 citations

Effect of pressure on the crystal structure of perovskite-type MgSiO3

1987 • 157 citations

The relationship of elasticity and crystal structure in andalusite and sillimanite

1978 • 156 citations

Hugoniot sound velocities and phase transformations in two silicates

1975 • 156 citations

Comments on the interrelationships between Grüneisen's parameter and shock and isothermal equations of state

1969 • 155 citations

Pressure dependence of the elastic constants of RbCl, RbBr and RbI

1971 • 155 citations

Composition of the Mantle and Core

1977 • 154 citations

Determination of Elastic Constants from Sound-Velocity Measurements in Crystals of General Symmetry

1967 • 154 citations

Multiwavelength optical pyrometer for shock compression experiments

1979 • 153 citations

Structure determination of α-quartz up to 68 x 108 Pa

1979 • 153 citations

Pressure Dependence of Elastic Constants and Crystal Stability of Alkali Halides: NaI and KI

1971 • 153 citations

The upper mantle transition region: Eclogite?

1979 • 152 citations

Procedure for loading diamond cells with high-pressure gas

1980 • 152 citations

Elasticity of aluminate, titanate, stannate and germanate compounds with the perovskite structure

1977 • 152 citations

On the composition of the Earth's interior

1964 • 152 citations

Elasticity and Equations of State of Olivines in the Mg2SiO4-Fe2SiO4 System

1971 • 152 citations

Thermal expansion of .GAMMA.-Mg2SiO4.

1979 • 152 citations

The bulk modulus-volume relationship for oxides

1988 • 152 citations

Theoretical study of the structure, lattice dynamics, and equations of state of perovskite-type MgSiO3 and CaSiO3

1987 • 152 citations

Elasticity and thermal expansion of a natural garnet up to 1,000K.

1983 • 152 citations

Temperature variation of elastic constants of single-crystal forsterite between -190.DEG. and 400.DEG.C.

1977 • 151 citations

Phase transition in SrO

1981 • 151 citations

Elastic constants of polycrystalline hematite as a function of pressure to 3 kilobars

1968 • 151 citations

The elastic constants of single crystal Fe1-xO,MnO and CoO,and the elasticity of stoichiometric magnesiowuestite.

1980 • 150 citations

Elasticity of some mantle crystal structures: 1. Pleonaste and hercynite spinel

1972 • 149 citations

Effect of High Pressure on the Lattice Parameters of Cr2O3 and α-Fe2O3

1966 • 149 citations

Equations for the elastic constants and their pressure derivatives for three cubic lattices and some geophysical applications

1970 • 149 citations

Hugoniot equation of state of periclase to 200 GPa

1981 • 149 citations

Compression of ferromagnesian garnets and the effect of solid solutions on the bulk modulus

1970 • 149 citations

Pressure and Temperature Dependences of the Isotropic Elastic Moduli of Polycrystalline Alumina

1968 • 148 citations

Shock wave compression of single‐crystal forsterite

1979 • 147 citations

Petrologic properties of the upper 670 km of the earth's mantle; geophysical implications

1973 • 147 citations

Effect of pressure on the melting of iron

1965 • 146 citations

The Earth's core and the phase diagram of iron

1982 • 146 citations

Some geophysical constraints on the chemical composition of the earth's lower mantle

1983 • 146 citations

The elastic properties of an almandine-spessartine garnet and elasticity in the garnet solid solution series

1976 • 146 citations

Equations of state of CaO under static pressure conditions

1981 • 145 citations

Finite‐strain equation of state for high‐pressure phases

1981 • 145 citations

The elastic properties of (Mg x Fe1?x )O solid solutions

1978 • 145 citations

Velocity-density systematics: Derivation from Debye theory and the effect of ionic size

1972 • 144 citations

Pressure dependence of the thermal Grüneisen parameter, with application to the earth's lower mantle and outer core

1975 • 144 citations

Pressure dependence of the elastic constants of nonmetamict zircon

1978 • 144 citations

Equation of state of the alpha and epsilon phases of iron

1973 • 143 citations

Finite-Strain Theory of Crystalline Elastic-Inelastic Materials

1971 • 143 citations

Volume Dependence of the Grüneisen Parameter of Alkali Halides

1971 • 143 citations

Elasticity of uvarovite and andradite garnets

1986 • 143 citations

Elasticity of Olivine (α), Beta(β), and Spinel (γ) Polymorphs of Germanates and Silicates

2007 • 142 citations

Method of pulse transmission measurements for determining sound velocities

1967 • 142 citations

Equation of state and metallization of CsI

1984 • 142 citations

Ultrasonic data and the thermodynamics of solids

1965 • 142 citations

Thermal expansion at high pressures

1968 • 142 citations

Elastic Moduli of Single-Crystal Europium Iron Garnet and Yttrium Iron Garnet

1966 • 141 citations

Strain Dependence of Longitudinal Piezoelectric, Elastic, and Dielectric Constants of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi></mml:math>-Cut Quartz

1972 • 141 citations

Pressure distribution in the diamond anvil press and the shear strenght of fayalite

1977 • 141 citations

Compression of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mn>2</mml:mn><mml:mn /></mml:math>high-pressure phase of NaCl

1984 • 141 citations

Elastic Moduli of Single-Crystal Spinel at 25°C and to 2 kbar

1967 • 141 citations

PROCESSES OCCURRING IN SHOCK WAVE COMPRESSION OF ROCKS AND MINERALS

1977 • 141 citations

Isothermal compression of the alloys of iron up to 300 kilobars at room temperature: Iron-nickel alloys

1968 • 141 citations

Elastic Constants of Pyrite

1963 • 141 citations

Effect of pressure on the lattice parameters of stishovite

1974 • 140 citations

First-principles equation-of-state calculations for alkali halides

1981 • 138 citations

Crystal structure of magnetite under pressure

1986 • 137 citations

Finite element analysis of the diamond anvil cell: Achieving 4.6 Mbar

1986 • 137 citations

Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method

1986 • 137 citations

Shock compression of two iron-silicon alloys to 2.7 megabars

1966 • 136 citations

Elastic-wave velocities of polycrystalline stishovite

1972 • 136 citations

Post-shock temperatures in minerals

1979 • 136 citations

Hugoniot data for pyrrhotite and the Earth's core

1984 • 134 citations

A universal thermal equation-of-state

1984 • 134 citations

Hydrostatic compression of iron and related compounds; an overview

1978 • 134 citations

Elasticity of some mantle crystal structures: 2. Rutile GeO2

1973 • 133 citations

Elasticity of polycrystals and rocks

1972 • 133 citations

Pressure derivatives of the sound velocities of polycrystalline forsterite, with 6% porosity

1967 • 133 citations

An Index of Degree of Chemical Inhomogeneity in the Earth

1963 • 133 citations

Methods of experimental physics

1980 • 132 citations

The pressure and temperature dependence of the elastic constants of pyrope garnet

1977 • 132 citations

Elastic properties of hedenbergite

1988 • 132 citations

The electronic thermodynamics of iron under Earth core conditions

1986 • 132 citations

Elastic Constants of Calcite

1962 • 132 citations

On the 650-km seismic discontinuity

1979 • 131 citations

Temperature dependence of the elastic constants of single-crystal rutile between 4° and 583°K

1972 • 131 citations

Estimation of bulk modulus and sound velocities of oxides at very high temperatures

1966 • 131 citations

Temperature-Dependent Equations of State of Solids

1957 • 131 citations

Elasticity of pyroxene-garnet and pyroxene-ilmenite phase transformations in germanates

1988 • 131 citations

The Melting Relations of Iron, and Temperatures in the Earth's Core

1972 • 130 citations

Melting of iron under core conditions

1980 • 130 citations

A note on the compression of cubic ZnS

1980 • 130 citations

Compressional-wave velocities of fayalite, Fe2SiO4spinel, and coesite

1970 • 130 citations

Computational model of the structural and elastic properties of the ilmenite and perovskite phases of MgSiO3

1987 • 129 citations

Grüneisen parameter of NaCl at high compressions

1977 • 129 citations

Birch's Law: Why Is It So Good?

1972 • 128 citations

Calculations of the Grüneisen Parameter for Some Models of the Solid

1970 • 128 citations

Heterogeneous shock-induced thermal radiation in minerals

1983 • 128 citations

The composition of the lower mantle

1970 • 127 citations

Computer simulations of the structural and physical properties of the olivine and spinel polymorphs of Mg2SiO4

1984 • 127 citations

High‐Temperature Elasticity and Expansivity of Forsterite and Steatite

1967 • 127 citations

Elasticity of single-crystal SmAlO3, GdAlO3 and ScAlO3 perovskites

1984 • 126 citations

High-temperature structural study of six olivines

1978 • 126 citations

Pyrite: Shock compression, isentropic release, and composition of the Earth's core

1987 • 126 citations

Third-Order Elastic Constants of NaF

1972 • 126 citations

Diamond anvil device for x-ray diffraction on single crystals under pressures up to 100 kilobar

1977 • 126 citations

Majorite: Vibrational and compressional properties of a high‐pressure phase

1981 • 126 citations

Solid state physics. Advances in research and applications

1958 • 125 citations

Elastic Properties of Oxide Solid Solutions: The System Al2O3−Cr2O3

1970 • 125 citations

Some New Interrelations in the Properties of Solids Based on Anharmonic Cohesive Forces

1961 • 124 citations

The Grüneisen parameter at high pressure: a molecular dynamical study

1985 • 124 citations

Structural and Bonding Changes in Cesium Iodide at High Pressures

1984 • 123 citations

New melting law at high pressures.

1966 • 123 citations

Ultrasonic Propagation in RbMn<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. I. Elastic Properties

1969 • 123 citations

Applications of thermodynamics to fundamental earth physics

1977 • 122 citations

Third-Order Elastic Constants of Calcite

1968 • 122 citations

Calculation of elasticity and high pressure instabilities in corundum and stishovite with the Potential Induced Breathing Model

1987 • 122 citations

A thermodynamically based equation of state for the lower mantle

1979 • 122 citations

Shock-induced transition of quartz to stishovite

1973 • 122 citations

Effects of iron/magnesium ratio onP- andS-wave velocities in olivine

1970 • 121 citations

The elastic constants and their temperature and pressure derivatives of AgBr-AgCl mixed crystals

1977 • 121 citations

Application of isotropic finite strain theory to ultrasonic and seismological data

1970 • 121 citations

Ab initio calculation of interatomic force constants in H6Si2O7 and the bulk modulus of ? quartz and ? cristobalite

1980 • 121 citations

The pressure derivatives of the sound velocities of polycrystalline magnesia

1965 • 121 citations

Lattice dynamics of the potential-induced breathing model: Phonon dispersion in the alkaline-earth oxides

1987 • 120 citations

Modification of the diamond cell for measuring strain and the strength of materials at pressures up to 300 kilobar

1976 • 120 citations

Quasi-harmonic finite strain equations of state of solids

1973 • 120 citations

Pressure dependence of single crystal elastic constants and anharmonic properties of wurtzite

1973 • 120 citations

Elastic constants of the central force model for three cubic stuctures: Pressure derivatives and equations of state

1970 • 120 citations

Temperature, pressure and composition: Structurally analogous variables

1977 • 120 citations

Pressure coefficient of compressional wave velocity for a bronzitite

1974 • 119 citations

Bulk modulus-density systematics

1969 • 119 citations

Changes of the crystal structure and the lattice parameter of SrO at high pressure

1973 • 119 citations

First principles equations of state of MgO and CaO

1985 • 119 citations

Elasticity of the olivine-spinel and olivine-β phase transformations and the 400-kilometer discontinuity of the mantle

1973 • 119 citations

Dynamic compression of enstatite

1971 • 119 citations

Single crystal X-ray diffraction study on the bond compressibility of fayalite, Fe2SiO4 and rutile, TiO2 under high pressure

1986 • 118 citations

Adiabats of quartz, coesite, olivine, and magnesium oxide to 50 kbar and 1000 K, and the adiabatic gradient in the Earth's mantle

1982 • 118 citations

Elastic properties of fluorapatite

1969 • 118 citations

Compressibility of fifteen minerals to 45 kilobars

1973 • 118 citations

Crystal structures and electron densities of nickel and iron silicate spinels at elevated temperature or pressure

1979 • 118 citations

Evidence supporting the approximation γρ = const for the Grüneisen parameter of the Earth's lower mantle

1979 • 118 citations

Ultrahigh Pressure: Beyond 2 Megabars and the Ruby Fluorescence Scale

1984 • 117 citations

Elasticity and equation of state of MgSiO3 perovskite

1987 • 117 citations

Isothermal equation of state for sodium chloride by the length-change-measurement technique

1976 • 117 citations

Equations of state and phase equilibria of stishovite and a coesitelike phase from shock-wave and other data

1972 • 117 citations

Interpretation of velocity profiles of the mantle

1975 • 117 citations

Behavior of Grüneisen's parameter of some metals at high pressures

1978 • 117 citations

The 650 km mantle discontinuity

1976 • 117 citations

Anharmonicity of three minerals at high temperature: Forsterite, fayalite, and periclase

1983 • 117 citations

Calcium fluoride as an internal pressure standard in high-pressure cyrstallography

1981 • 117 citations

The Elastic Moduli of MnO

1969 • 117 citations

Birch's law and polymorphic phase transformations

1973 • 117 citations

Equation of state of forsterite

1971 • 116 citations

Anomalous Elastic Properties of Fe2TiO4

1971 • 116 citations

Elasticity of microcrystals

1975 • 116 citations

Anomalous Behavior of the Shear-Sound Velocity under Pressure for Polycrystalline ZnO

1967 • 116 citations

Isothermal compressibility of kyanite, andalusite, and sillimanite from synthetic aggregates

1969 • 115 citations

Velocity-density systematics for the olivine and spinel phases of Mg2SiO4-Fe2SiO4

1970 • 115 citations

Elastic Properties of Mn<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

1970 • 115 citations

High-temperature elastic constants and the phase stability of silicon-iron

1971 • 115 citations

Velocity of Sound in Mn<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>near the Néel Temperature

1970 • 115 citations

Shock temperature measurements in Mg2SiO4 and SiO2 at high pressures

1980 • 115 citations

Compression and bonding of ice VII and an empirical linear expression for the isothermal compression of solids

1975 • 114 citations

Temperature and pressure derivatives of isotropic sound velocities of α quartz

1968 • 114 citations

Elastic properties of anorthite and the nature of the lunar crust

1976 • 114 citations

First Pressure Derivatives of Polycrystalline Elastic Moduli: Their Relation to Single-Crystal Acoustic Data and Thermodynamic Relations

1967 • 114 citations

Compression of calcite to 40 KB

1974 • 113 citations

The pressure and temperature dependence of the elastic properties of polycrystal magnesiowustite

1982 • 113 citations

A proposed equation of state of stishovite

1970 • 113 citations

The earth's thermal profile: Is there a mid-mantle thermal boundary layer?

1984 • 113 citations

Effect of hydrostatic pressure on the lattice parameters of Fe2SiO4 olivine up to 70 kbar

1975 • 113 citations

A restriction to the law of corresponding states

1967 • 113 citations

Single crystal elastic properties of protoenstatite: A comparison with orthoenstatite

1983 • 113 citations

Hydrostatic compression of the synthetic garnets pyrope and almandine

1978 • 113 citations

Some remarks on the volume dependence of the Grüneisen parameter

1968 • 113 citations

Shock compression of diamond crystal

1983 • 112 citations

Elastic Constants and the Electrical Transition in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ti</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:…

1973 • 112 citations

The elastic properties of beryl

1973 • 111 citations

Elasticity and Composition of the Upper Mantle

1970 • 111 citations

Compressibility, Cohesive Energy, and Hardness of Non‐Metallic Solids

1965 • 111 citations

EQUATION OF STATE OF MANTLE MINERALS DETERMINED THROUGH HIGH-PRESSURE X-RAY STUDY

1977 • 110 citations

Lattice dynamics of wustite (FeO)

1977 • 110 citations

Measurement of the Lattice Parameter of Wustite at High Temperatures

1972 • 109 citations

Third-Order Elastic Moduli of Strontium Fluoride

1970 • 109 citations

The pressure derivatives of the elastic constants of lead

1969 • 109 citations

Finite strain and finite rotation of solids

1978 • 109 citations

Petrology of the mantle

1970 • 108 citations

Density-functional theory for the energy of crystals: Test of the ionic model

1981 • 108 citations

Equations of state of matter from shock wave experiments

1966 • 108 citations

A comparison of calculated and measured low-stress Hugoniots and release adiabats of dry and water-saturated tuff

1970 • 108 citations

Density-Velocity Relations for Rocks

1967 • 108 citations

Magnetic effects of sea tides

1973 • 107 citations

Equation of state fits to the lower mantle and outer core

1978 • 107 citations

Sound velocity of some germanate compounds and its relation to the law of corresponding states

1971 • 107 citations

High-pressure X-ray diffraction studies on β- and γ-Mg2SiO4

1975 • 106 citations

On the (?, ?, ?) Triple Point of Iron and the Earth's Core

1975 • 106 citations

Pressure dependence of the thermodynamical Grüneisen parameter of fluids

1977 • 106 citations

Elastic behaviour of YAG under pressure

1980 • 106 citations

Temperature Dependence of the Third-Order Elastic Constants of SrTi<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

1970 • 106 citations

Thermodynamics of the system Fe--FeO--MgO at high pressure and temperature and a model for formation of the Earth's core

1983 • 106 citations

Anderson-Grüneisen parameter δ of NaCl-type alkali halides for Born-Mayer potential

1968 • 106 citations

Elastic Behavior of MgO Matrix Composites

1967 • 106 citations

Chemical inhomogeneity of the mantle

1968 • 106 citations

The Equation of State for Iron and the Earth’s Core

1982 • 105 citations

A Simple Earth Model

1972 • 105 citations

General relationships among sound speeds

1974 • 105 citations

A proposed law of corresponding states for oxide compounds

1966 • 105 citations

Discrimination between equations of state

1971 • 104 citations

The Pressure Dependence of the Elastic Constants of Cubic Crystals in the NaCl and Spinel Structures from a Lattice Model

1970 • 103 citations

Phonon dispersion branches in α quartz

1980 • 103 citations

Temperature Dependence of the Bulk Modulus of Alkali Halides

1971 • 103 citations

Relation of Single‐Crystal Elastic Constants to Polycrystalline Isotropic Elastic Moduli of MgO

1963 • 103 citations

Acoustic velocities in polycrystalline NaCl at 300°K measured at static pressures from 25 to 270 kbar

1976 • 102 citations

Pressure Dependence of the Elastic Constants of NaCl at Low Temperatures

1970 • 102 citations

Elasticity of some mantle crystal structures 3. Spessartite-almandine garnet

1974 • 102 citations

BaO single crystal elastic constants and their temperature dependence

1973 • 102 citations

Elastic moduli of pressure-sintered nickel oxide

1971 • 102 citations

Elasticity of polycrystalline stishovite

1976 • 101 citations

The theory of finite strain and compressibility of solids

1963 • 100 citations

Physical properties of the Earth's core

1972 • 100 citations

Shock compression of zirconia ZrO2 and zircon ZrSiO4 in the pressure range up to 150 GPa

1983 • 100 citations

Revised shock-wave equations of state for high-pressure phases of rocks and minerals

1971 • 100 citations

Lattice model calculation of hugoniot curves and the grüneisen parameter at high pressure for the alkali halides

1974 • 100 citations

Limits on the Constitution of the Lower Mantle

1974 • 100 citations

Elastic Constants of RbF from 300 to 4.2 K

1972 • 99 citations

High-pressure phase transformations and compressions of ilmenite and rutile, I. Experimental results

1975 • 99 citations

Elastic and thermal properties of fluoride and oxide analogues in the rocksalt, fluorite, rutile and perovskite structures

1974 • 99 citations

Models for the Density and Elasticity of the Earth's Lower Core

1965 • 99 citations

The Composition of the Earth's Interior

1965 • 99 citations

Compressibility and crystal structure of andalusite at high pressure

1984 • 99 citations

Temperature and pressure dependence of intrinsic anharmonic and quantum corrections to the equation of state

1980 • 99 citations

Higher order elastic constants of alkali halides

1976 • 99 citations

Pressure derivatives of the elastic properties of polycrystalline quartz and rutile

1969 • 99 citations

Shell Model Calculation of Thermal Expansion of Alkali Halides and Magnesium Oxide

1971 • 98 citations

Isotherms of the rare gas solids

1977 • 98 citations

Elastic properties of polycrystalline SnO2 and GeO2: comparison with stishovite and rutile data

1973 • 98 citations

The equation of state of solids

1976 • 98 citations

The elastic constants and distance dependence of the magnetic interactions of Cr2O3

1976 • 98 citations

Anderson-Grüneisen parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi></mml:math>of some hexagonal metals and MgO from third-order elastic-constant data

1974 • 98 citations

Compression of ice VII to 500 kbar

1982 • 98 citations

Simplified Method for Calculating Elastic Moduli of Ceramic Powder from Compressibility and Debye Temperature Data

1966 • 98 citations

Elastic, optical, and dielectric properties and their pressure derivatives of rutile‐structure oxides in a modified rigid ion approximation

1975 • 97 citations

Elastic Constants of Calcite

1968 • 97 citations

Mode Grüneisen parameter dispersion relation of RbI determined by neutron scattering

1975 • 97 citations

Elastic properties of CaO under pressure and temperature

1968 • 97 citations

Phonon dispersion in NiO

1976 • 97 citations

High-temperature diamond-anvil pressure cell for single-crystal studies

1981 • 96 citations

New measurements on the sound velocity of calcium oxide and its relation to Birch's law

1967 • 96 citations

Isothermal compression of grossular garnets to 250 Kbar and the effect of calcium on the bulk modulus

1976 • 96 citations

Elastic and optical properties of rutile‐structure fluorides in the rigid‐ion approximation

1973 • 96 citations

Theoretical study of solid NaF and NaCl at high pressures and temperatures

1985 • 96 citations

Magnetoelastic interactions in hematite: Implications for geophysics

1971 • 96 citations

Grüneisen Parameters of the Alkali Halides

1971 • 96 citations

Thermal Expansion of Rocksalt

1971 • 96 citations

Thermal expansion of LiF at high pressures

1980 • 96 citations

Lattice dynamics at zero wave vector and elastic constants of spinel in the rigid ion approximation

1972 • 96 citations

Phonon dispersion in AgBr and exchange of the transverse mode Eigenvectors at L

1975 • 96 citations

Approximate Compressibility of Elements and Compounds

1965 • 95 citations

Grüneisen Parameters of Cubic Metals

1970 • 95 citations

Cindas data series on material properties

1989 • 95 citations

Lattice dynamics and structural distortions of CaSiO3 and MgSiO3 perovskites

1985 • 95 citations

The Elastic Properties of Rocks: A Correlation of Theory and Experiment

1936 • 95 citations

The Occurrence of Anomalous Seismic Events in Eastern Tibet

1958 • 95 citations

The compression of α quartz

1976 • 94 citations

The temperature dependence of the elastic constants of CaO and SrO

1972 • 94 citations

Second-order elasticity theory: Explanation for the high poisson's ratio of the inner core

1980 • 94 citations

The determination of the volume dependence of the Grüneisen Parameter γ

1974 • 94 citations

Universal equations of state for oxides and silicates

1969 • 94 citations

PYROXENES AND OLIVINES: STRUCTURAL IMPLICATIONS OF SHOCK-WAVE DATA FOR HIGH PRESSURE PHASES

1977 • 94 citations

Homogeneity and temperatures in the lower mantle

1985 • 93 citations

The high-temperature acoustic Grüneisen parameter in the earth's interior

1979 • 93 citations

Temperature dependence of the velocity derivatives of periclase

1966 • 93 citations

General relationships among sound speeds

1974 • 93 citations

Experimental study of the elasticity of single crystalline calcite under high pressure (the calcite I—calcite II transition at 14.6 kbar)

1984 • 93 citations

High pressure phase transformations in MgF2 (rutile)

1979 • 92 citations

Application of finite strain theory to non-cubic crystals

1976 • 92 citations

Debye Θ and compressibility. III. Cubic metals

1961 • 92 citations

The Estimation of Elastic Properties from Analogue Compounds

1976 • 92 citations

Temperature variation of elastic constants of pyrope-almandine garnets.

1978 • 92 citations

Calculations of high-pressure phase transitions in the system MgOSiO2 and implications for mantle discontinuities

1979 • 92 citations

Uniformity of Mantle Composition

1975 • 92 citations

Compressional velocities of polycrystalline olivine, spinel and rutile minerals

1972 • 92 citations

A shock-induced phase change in orthoclase

1973 • 92 citations

Mineralogy and chemistry of the Earth's mantle above 1000 km

1977 • 91 citations

Temperature Dependence of Single-Crystal Spinel (MgAl2O4) Elastic Constants from 293 to 423°K Measured by Light-Sound Scattering in the Raman-Nath Region

2007 • 91 citations

Dynamic determinations of the Grüneisen coefficient in aluminum and aluminum alloys for densities up to 6<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">M</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

1976 • 91 citations

Comments on the negative pressure dependence of the shear modulus found in some oxides

1968 • 91 citations

The crystal structure of covellite CuS under high pressure up to 33kbar

1985 • 91 citations

Elasticity of ilmenites

1976 • 91 citations

Thermal expansion of single-crystal forsterite to 1023 K by Fizeau interferometry

1985 • 91 citations

EXPERIMENTS AT HIGH TEMPERATURE AND PRESSURE : LASER HEATING THROUGH THE DIAMOND CELL

1984 • 91 citations

Elastic constants of LiBr from 300° to 4.2°K

1969 • 91 citations

Shock compression of KFeS2 and the question of potassium in the core

1980 • 90 citations

Linear compressibility of ice

1972 • 90 citations

Discrepancies in Elastic Constant Data for MgO Polycrystals and Single Crystals

1971 • 90 citations

Some Combinations of Third-Order Elastic Constants for Strontium Titanate Single Crystals

1969 • 90 citations

Static compression of MnO manganosite to 60 GPa

1987 • 90 citations

High-pressure phases of Co2GeO4, Ni2GeO4, Mn2GeO4 and MnGeO3: implications for the germanate-silicate modeling scheme and the Earth's mantle

1976 • 90 citations

Temperature derivatives at constant volume of the elastic constants of the alkali halides

1980 • 90 citations

High-pressure crystal chemistry of beryl (Be 3 Al 2 Si 6 O 18 ) and euclase (BeAlSiO 4 OH)

1986 • 90 citations

Linear thermal expansion coefficients of orthopyroxene to 1000°C

1972 • 90 citations

Computational modeling of the structure and elastic constants of the olivine and spinel forms of Mg2SiO4

1984 • 89 citations

Anorthite: thermal equation of state to high pressures

1980 • 89 citations

Elastic properties of single-crystal NaCl under high pressures to 80 kbar.

1979 • 89 citations

Hashin–Shtrikman bounds on the effective elastic moduli of polycrystals with trigonal (3,3̄) and tetragonal (4,4̄,4m) symmetry

1986 • 89 citations

High-pressure phase transition in CsBr

1985 • 89 citations

New modification of the diamond anvil press: A versatile apparatus for research at high pressure and high temperature

1976 • 89 citations

Shock-induced radiation spectra of fused quartz

1983 • 88 citations

an interferometric technique for measuring velocity and attenuation in molten rocks

1981 • 88 citations

Elasticity, crystal structure and phase transitions

1974 • 88 citations

Ab initio structural and thermoelastic properties of orthorhombic MgSiO3 perovskite

1985 • 88 citations

Microwave Phonon Attenuation in Yttrium Iron Garnet

1968 • 87 citations

Seismic parameter φ: Computation at very high pressure from laboratory data

1966 • 87 citations

The equation of state of Mg0.6Fe0.4O to 200 GPa

1982 • 87 citations

Lattice dynamics of corundum

1978 • 87 citations

Revised data on polycrystalline magnesium oxide

1968 • 87 citations

Equation of state of periclase and some of its geophysical implications

1969 • 87 citations

Phase transformations and elasticity in rutile-structured difluorides and dioxides

1980 • 87 citations

Elastic and optical properties of stishovite

1976 • 87 citations

Elastic properties of alpha quartz and the alkali halides based on an interatomic force model

1972 • 87 citations

The role of iron partitioning in mantle composition, evolution, and scale of convection

1982 • 86 citations

On the high-temperature equation of state of solids

1969 • 86 citations

Hydrostatic compression of Fe1‐xO Wüstite

1986 • 86 citations

Elastic properties of single-crystal Ni<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

1976 • 86 citations

Grüneisen parameters and thermal expansion of CaO and SrO

1972 • 86 citations

Rapid determination of Fe3O4 phase diagram by synchrotron radiation

1986 • 86 citations

Temperature dependence of elastic compliances of garnet

1964 • 86 citations

Velocity-density systematics and its implications for the iron content of the mantle

1974 • 86 citations

Is the common definition of the Mie-Grüneisen equation of state inconsistent?

1977 • 85 citations

Elasticity and phase equilibria of spinel disproportionation reactions

1977 • 85 citations

An experimental high-temperature thermal equation of state bypassing the Grüneisen parameter

1980 • 85 citations

Adiabats (∂T/∂P)s and Grüneisen parameter of NaCl up to 50 kilobars and 800°C

1981 • 85 citations

Bulk attenuation in a polycrystalline Earth

1982 • 85 citations

Compressional wave velocities in single crystals of alkali feldspar at pressures to 10 kilobars

1966 • 85 citations

High temperature elasticity of rutile-structure MgF2

1977 • 85 citations

Isothermal compressions of a spinel phase of Co2SiO4and magnesian ilmenite

1974 • 85 citations

Crystals at High Pressure

1985 • 85 citations

Elastic critical behaviour in SrTiO3

1980 • 85 citations

Elastic properties of polycrystalline diopside (CaMgSi2O6)

1976 • 85 citations

Elastic constants of cadmium fluoride from 4.2 to 295 K

1977 • 85 citations

Invariant finite strain measures in elasticity and lattice dynamics

1973 • 85 citations

Relation between the Grüneisen ratio and the pressure dependence of Poisson's ratio for metals

1976 • 85 citations

High-temperature behaviour of the elastic moduli of LiF and NaF: Comparison with MgO and CaO

1976 • 85 citations

Comments on the power law representation of Birch's law

1973 • 85 citations

Equation of State of Periclase and Birch's Relationship between Velocity and Density

1968 • 84 citations

Elasticity and anharmonicity of potassium chloride at high temperature

1987 • 84 citations

Effect of stress-induced anisotropy and porosity on elastic properties of polycrystals

1972 • 84 citations

High-pressure X-Ray diffraction and optical absorption studies of CsI

1985 • 84 citations

A shock-induced phase change in iron-silicate garnet

1972 • 84 citations

Optical Mode Gammas, Pressure Derivatives of Elastic and Dielectric Constants, and Stability of Rutile‐Structure Fluorides in the Rigid Ion Approximation

1974 • 84 citations

Shock wave compression of iron-silicate garnet

1973 • 84 citations

Extrapolation of elastic properties to high pressure in the alkali halides

1972 • 84 citations

Application of the fourth-order anharmonic theory to the prediction of equations of state at high compressions and temperatures

1972 • 83 citations

On Compressibility and Chemical Inhomogeneity in the Earth's Core

1965 • 83 citations

The pressure derivatives of the elastic constants of CaF2

1967 • 83 citations

X ray diffraction compression studies of hematite under hydrostatic, isothermal conditions

1978 • 83 citations

Microstructure and Room-Temperature Mechanical Properties of Hot-Pressed Magnesium Aluminate as Described by Quadratic Multivariable Analysis

1968 • 83 citations

Thermal and elastic properties of silicate oxyapatite crystals

1973 • 83 citations

First-principles theory for the equations of state of minerals at high pressures and temperatures: Application to MgO

1985 • 83 citations

Compressibility-Pressure Gradient and the Constitution of the Earth's Outer Core

1969 • 82 citations

COMPRESSION STUDIES OF FORSTERITE (Mg2SiO4) AND ENSTATITE(MgSiO3)

1977 • 82 citations

Ultrasonic measurements of Vp and Qp: relaxation spectrum of complex modulus on basalt melts

1985 • 82 citations

Chemical Composition and Evolution of the Mantle

1982 • 82 citations

ORTHORHOMBIC PEROVSKITE (Mg, Fe)SiO3 AND CONSTITUTION OF THE LOWER MANTLE

1977 • 82 citations

The eclogite to garnetite transition — Experimental and thermodynamic constraints

1984 • 82 citations

Anharmonic properties: Ionic model of the effects of compression and coordination change

1982 • 82 citations

Elastic properties of polycrystalline periclase

1969 • 82 citations

Reduction of shock-wave equations of state to isothermal equations of state

1969 • 82 citations

PREDICTION OF HIGH PRESSURE PHASE TRANSITIONS BY ELASTIC CONSTANT DATA

1977 • 82 citations

Elastic and Photoelastic Constants of α-ZnS

1972 • 82 citations

Pressure Derivatives of Second-Order Elastic Constants of MgO

1968 • 82 citations

The elastic constants of a cubic crystal subjected to moderately high hydrostatic pressure

1968 • 82 citations

The volume dependence of the Grüneisen parameter and crystal stability

1975 • 81 citations

Plane shock wave studies of porous geologic media

1979 • 81 citations

Compression of olivine to 100 kilobars

1971 • 81 citations

Third-Order Elastic Constants of RbMn<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

1973 • 81 citations

High-pressure crystal chemistry of chrysoberyl, Al2BeO4: Insights on the origin of olivine elastic anisotropy

1987 • 81 citations

The state of mantle minerals

1972 • 81 citations

An experimental investigation of the Hashin-Shtrikman bounds on two-phase aggregate elastic properties

1980 • 81 citations

Parameter-free equation-of-state calculations for CsCaF3

1984 • 81 citations

Critical thermal gradients in the mantle

1969 • 81 citations

Grüneisen parameter of cesium and rubidium at high pressure and the nature of the isostructural electronic transition

1984 • 81 citations

Elasticity of the ilmenite - perovskite phase transformation in CdTiO3

1976 • 81 citations

High-pressure crystal chemistry of phenakite (Be2SiO4) and bertrandite (Be4Si2O7(OH)2)

1986 • 80 citations

-190〜400°Cにおける単結晶苦土かんらん石の弾性定数

1977 • 80 citations

Mixed-oxide and perovskite-structure model mantles from 700?1200 km

1978 • 80 citations

Elastic properties, chemical composition, and crystal structure of minerals

1977 • 80 citations

The compressibility of FeO measured by energy dispersive X-ray diffraction in a diamond anvil squeezer up to 200 kbar

1980 • 80 citations

Isothermal compression of the spinel phase of Ni2SiO4 up to 300 kilobars at room temperature

1970 • 80 citations

Grüneisen parameter of quartz, quartzite, and fluorite at high pressures

1979 • 80 citations

Pressure and temperature dependence of the single crystal elastic moduli of the cubic perovskite KMgF3

1979 • 79 citations

Electrostatic lattice energy in ionic crystals: optimization of the convergence of Ewald series

1978 • 79 citations

Finite strain coordinates and the stability of solid phases

1976 • 79 citations

Hydrostatic compression of ilmenite phase of ZnSiO3 and MgGeO3

1977 • 79 citations

Empirical equation of state for high compression

1970 • 78 citations

Shock wave equation of state of enstatite

1986 • 78 citations

Crystal field effect on bulk moduli of transition metal oxides

1978 • 78 citations

Equation of state and conduction bands of iron at high pressures

1962 • 78 citations

Effect of hydrostatic pressure on the elastic constants of cubic Pb<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

1980 • 78 citations

Measurements of the lifetime of the ruby R1 line under high pressure

1986 • 78 citations

Elastic shear moduli and crystal stability at highPandT

1971 • 78 citations

Elastic and thermoelastic constants of nepheline

1975 • 77 citations

Shock compression of single‐crystal forsterite

1983 • 77 citations

Compression in the Earth

1968 • 77 citations

Numerical experiments on the velocities in aggregates of olivine

1972 • 77 citations

Equations of state and thermal expansion of alkali halides

1973 • 77 citations

The Effect of Crystal Structure and Composition on Elastic Properties of Silicates

1982 • 77 citations

On the distributions of density and temperature in the low-velocity zone

1967 • 77 citations

Linear compressibilities of low albite; high-pressure structural implications

1977 • 76 citations

On the calculation of the seismic parameter ϕ at high pressure and high temperatures

1970 • 76 citations

Empirical Equations of State for the Earth's Lower Mantle and Core

1968 • 76 citations

Shock compression of ilmenite

1976 • 76 citations

Chrysoberyl (Al2BeO4): Anomaly in velocity-density systematics

1975 • 76 citations

The thermodynamic properties of the earth's lower mantle

1980 • 76 citations

The hildebrand equation of state for minerals relevant to geophysics

1979 • 76 citations

PHYSICS AND CHEMISTRY OF IRON AND POTASSIUM AT LOWER-MANTLE AND CORE PRESSURES

1977 • 76 citations

Shear wave velocity jump at the olivine-spinel transformation in Fe2SiO4 by ultrasonic measurements in situ.

1982 • 75 citations

High-temperature elasticity of the fluorite-structure compounds CaF2, SrF2 and BaF2

1977 • 75 citations

Velocity-density relations

1970 • 75 citations

Effect of Coordination Change on Thermodynamic Properties

1982 • 75 citations

Theoretical studies of charge relaxation effects on the statics and dynamics of oxides

1987 • 75 citations

Temperatures in the mantle as inferred from simple compositional models

1976 • 75 citations

Compression of garnet to 100 kilobars

1972 • 75 citations

Crystal structure and elastic constants of β-Mg2SiO4 under high pressure simulated from a potential model

1985 • 74 citations

Pressure Dependence of Cubic-Tetragonal Transition Temperature of KMnF3

1973 • 74 citations

Temperature Correction of Birch's Equation of State

1962 • 74 citations

Volume dependence of the Grüneisen γ and other thermodynamic properties of NaCI

1977 • 74 citations

Lattice Dynamics of MgO, Al2MgO4 and Mg2SiO4 Spinel

1972 • 74 citations

Phase transitions, elasticity-density relations, and the univalent halides

1974 • 74 citations

Constraints on core composition from shock-waves data

1982 • 74 citations

The mineralogy of an eclogitic earth mantle

1980 • 74 citations

Upper Bound to Change in Incompressibility at the Earth's Mantle-Core Boundary

1969 • 74 citations

Pressure and temperature dependence of the elastic constants of LiBr and LiCI

1973 • 74 citations

Room‐Temperature KIc Values for Single‐Crystal and Polycrystalline MgAl2O4

1981 • 74 citations

Effect of distance-dependent exchange interactions in MnO on elastic constants and magnetic susceptibility

1982 • 74 citations

Elastic constant systematics

1978 • 73 citations

Temperatures Induced by Shock Waves in Minerals: Applications to Geophysics

1982 • 73 citations

The generalised Huggins-Mayer form of born repulsive potentials for NaCl-type alkali halides

1981 • 73 citations

Additional data on the compression of olivine to 140 kilobars

1972 • 73 citations

Analysis of the pressure derivatives of the second order elastic constants in alkaline earth oxides

1977 • 73 citations

Effect of Axial Ratio Changes on the Elastic Moduli and Grüneisen γ for Lower Symmetry Crystals

1970 • 73 citations

Temperature and stress dependence of Young’s modulus in semiconducting barium titanate ceramics

1985 • 73 citations

Elastic constants of tourmaline

1979 • 73 citations

The Grüneisen parameter γ of KBr, RbCl and Bi through high pressure phase transitions

1979 • 73 citations

Ultrasonic Third-Harmonic Generation in Strontium Titanate Single Crystals

1971 • 73 citations

Elastic properties of minerals determined from ultrasonic or compression data

1972 • 73 citations

The temperature profile of the upper mantle

1980 • 72 citations

Grüneisen γ and other thermodynamic properties of cesium halide crystals at zero and elevated pressures

1978 • 72 citations

First Pressure Derivative of Bulk Modulus for Porous Materials

1971 • 72 citations

Generalised Grüneisen parameters of elastic waves in calcite and its thermal expansion

1972 • 72 citations

Redetermination of the relative compressions of the cell edges of olivine

1974 • 72 citations

Resistance heating of Fe and W in diamond-anvil cells

1986 • 72 citations

Shock-wave compression of vitreous and rutile-type GeO2: A comparative study

1979 • 72 citations

A scaling law for K′0 for silicates with constant mean atomic mass

1973 • 71 citations

Pressure Dependence of Elastic Moduli of Forsterite by Brillouin Scattering in the Diamond Cell

1982 • 71 citations

Elastic constants of the perovskite RbMn<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>using a Born model

1974 • 71 citations

The pyroxene-garnet transformation and its implication for the 200-km seismic discontinuity

1980 • 71 citations

On the accuracy of the Wachtman-Anderson Relation

1970 • 71 citations

Shock temperatures in anorthite glass

1986 • 71 citations

Second pressure derivatives of the elastic moduli of fused quartz

1978 • 71 citations

Chemistry of the Earth's lower mantle

1973 • 71 citations

Brillouin scattering-a new geophysical tool

1969 • 71 citations

Remarks on thermal expansion

1969 • 71 citations

Linear Isothermal Compressibilities of β‐Eucryptite

1975 • 71 citations

Hugoniot equation of state of anorthite glass and lunar anorthosite

1986 • 70 citations

Crystal Chemistry of Silicon—Oxygen Bonds at High Pressure: Implications for the Earth's Mantle Mineralogy

1978 • 70 citations

Dynamic compression of diopside and salite to 200 GPa

1983 • 70 citations

Extrapolation formula for finding the volume of solids at high pressures

1970 • 70 citations

On the determination of the volume dependence of Grüneisen parameters in cubic and non-cubic solids

1980 • 70 citations

The determination of the elastic constants of natural almandine-pyrope garnet by rectangular parallelepiped resonance method.

1976 • 70 citations

Birch's diagram: Some new observations

1974 • 69 citations

Effect of hydrostatic pressure on the elastic constants of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">V</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow…

1981 • 69 citations

Elastic Grüneisen parameters for potassium metal

1975 • 69 citations

Proposed Thermodynamic Pressure Scale for an Absolute High-Pressure Calibration

1970 • 69 citations

Elastic constants of semiconducting Ti2O3 and metallic (Ti1−xVx)2O3 at 1.5 K

1976 • 69 citations

Pressure induced phonon frequency shifts in KBr measured by inelastic neutron scattering

1975 • 69 citations

ULTRASONIC WAVE VELOCITY MEASUREMENTS IN SOLIDS UNDER HIGH PRESSURE USING SOLID PRESSURE MEDIA

1977 • 69 citations

Vibrational properties of model monatomic crystals under pressure

1985 • 69 citations

The 400-km seismic discontinuity and the proportion of olivine in the Earth's upper mantle

1986 • 69 citations

Equations of State and the Interior of the Earth

1971 • 68 citations

Ultrasonic studies on a basalt melt

1981 • 68 citations

Reliability of the isothermal bulk modulus deduced from model equations of state

1984 • 68 citations

Identification of Ice VI on the Hugoniot of Ice Ih

1980 • 68 citations

Hellmann-Feynman theorem, elastic moduli, and the Cauchy relations

1981 • 68 citations

PRESSURE CALIBRATION ABOVE 100 KBAR BASED ON THE NaCl INTERNAL STANDARD

1977 • 67 citations

Anderson-Grüneisen parameter δ from third order elastic constants data for some cubic compounds

1974 • 67 citations

Advances in physical geochemistry

1983 • 67 citations

Representation for compressional velocity data near the lambda transition in limestones and marbles

1969 • 67 citations

Measurement of elastic velocities of MgO under shock compression to 500 kilobars

1973 • 67 citations

Derivation of Some Equations of State for Solids. A New Approach

1985 • 67 citations

Theoretical study of structures, stabilities, and phase transitions in some metal dihalide and dioxide polymorphs

1980 • 67 citations

Bulk moduli of wüstite and periclase: a comparative study

1987 • 67 citations

A Decade of Progress in Earth's Internal Properties and Processes

1981 • 66 citations

An iterative scheme to estimate the values of elastic constants of a solid at high pressures from the sound wave velocity measurements

1970 • 66 citations

First Pressure Derivative of the Bulk Modulus for Porous Materials

2009 • 66 citations

On the absence of shear mode softening in single-crystal fayalite Fe2SiO4 at high pressure and room temperature

1984 • 66 citations

Mode-Grüneisen parameters of alkali halides

1973 • 66 citations

Use of Critically Evaluated Data on Copper to Test the Mie-Grüneisen Equation of State

1970 • 66 citations

Limiting low temperature value of the grüneisen parameter for metals

1975 • 66 citations

The temperature independence of Grüneisen’s gamma at high temperature

1981 • 66 citations

Shock temperatures in CaO

1984 • 66 citations

Anharmonicity in the Equation of State at High Temperature for Some Geophysically Important Solids

1982 • 66 citations

Isothermal compression of low-cordierite to 30 kbar (25� C)

1984 • 65 citations

Physical properties of minerals and melts

1979 • 65 citations

Pressure dependences of the elastic constants of single-crystal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ti</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml…

1978 • 65 citations

Equations of state for silicates in the metallic form

1972 • 65 citations

Theoretical bounds on the adiabatic compressibility of rocks

1973 • 65 citations

Elastic constants of single crystal terbium iron garnet

1980 • 65 citations

Equation of state and stability of fluorite‐structured SiO2

1986 • 65 citations

PHASE-TRANSITION PRESSURES OF Fe3O4 AND GaAs DETERMINED FROM SHOCK-COMPRESSION EXPERIMENTS

1977 • 65 citations

On the Occurrence of (Mg, Fe)SiO3 in the Lower Mantle

2007 • 65 citations

Longitudinal elastic velocities in MgO to 360 KB

1977 • 65 citations

On the interpretation of mantle discontinuities

1980 • 65 citations

Optical length determinations in the diamond-anvil cell

1984 • 65 citations

High-pressure phase transformations in vitreous and crystalline GeO2 (rutile)

1983 • 65 citations

Some remarks on the redundancy checks for cubic crystals

1974 • 65 citations

The First Pressure Derivative of the Shear Modulus of Porous Materials

1974 • 65 citations

SOME COMMENTS ON THE ELASTICITY OF STISHOVITE AS DETERMINED BY ULTRASONIC AND HIGH PRESSURE X-RAY DIFFRACTION TECHNIQUES

1977 • 64 citations

Behavior of Single-Crystal Forsterite under Dynamic Compression

1982 • 64 citations

Equations of state of the Earth

1975 • 64 citations

The pressure dependence of the expansivity and of the Anderson-Grüneisen parameter in the Murnaghan approximation

1986 • 64 citations

Inhomogeneity parameter of a homogeneous Earth

1983 • 64 citations

Relationship between two-body interatomic potentials in a lattice model and elastic constants. II

1974 • 63 citations

Variation of elastic constants of cubic PbF2 with volume

1986 • 63 citations

Phase relations for SrF2 TO 50 Kbars and 1900°C and its compression to 40Kbars at 25°C

1980 • 63 citations

Volume dependence of the vibrational free energy

1975 • 63 citations

Are anharmonicity corrections needed for temperature-profile calculations of interiors of terrestrial planets?

1982 • 63 citations

Simple model for solids under pressure

1977 • 63 citations

On the theoretical evaluation of the Grüneisen function in the harmonic approximation

1978 • 63 citations

Pressure dependence of the Grüneisen parameter of sodium and potassium

1980 • 63 citations

Equation-of-state parameters for liquid metals and energetics of the earth's core

1976 • 63 citations

Compressibilities and high-pressure phase transitions of sodium tungstate perovskites (NaxWO3)

1984 • 62 citations

Walpole bounds on the effective elastic moduli of isotropic multicomponent composites

1986 • 62 citations

The effect of the Gruneisen parameter on the Decker equation of state of NaCl

1979 • 62 citations

COMPRESSION EXPERIMENTS ON MgO AND RUBY WITH THE DIAMOND-WINDOW PRESSURE CELL TO 1 MEGABAR

1977 • 62 citations

The low temperature limits of electronic Grüneisen parameters

1976 • 61 citations

The self-consistent cell model equation of state for solids

1980 • 61 citations

Acoustic and static compression experiments on the elastic behavior of hematite

1986 • 60 citations

Elasticity of Stishovite Revisited

1979 • 60 citations

An evaluation of finite strain equations of state using a lattice model

1980 • 60 citations

Model studies of physical properties of mineral matter in high-pressure-temperature experiments

1980 • 60 citations

Elastic properties of silver iodide at high pressure and temperatures: Thermally activated velocity anomaly in the B1 phase

1980 • 60 citations

Shock wave properties of anorthosite and gabbro

1985 • 59 citations

Murnaghan parameter B′o estimates from morse potential for zincblende structure group iva covalent crystals

1978 • 59 citations

High pressure equation of state and sound velocities to fourth order elastic constants. Application to sodium chloride to 270 kbars

1979 • 59 citations

Melting curve and Grüneisen coefficient for aluminum

1980 • 59 citations

The thermal pressure of MgO at high compression and high temperature

1981 • 59 citations

Computation of elastic moduli from interatomic forces

1979 • 58 citations

Shock wave equations of state using mixed‐phase regime data

1984 • 58 citations

Comment on ‘On the theoretical evaluation of the Grüneisen function in the harmonic approximation’ by Francesco Mulargia

1980 • 58 citations

Calculation of Coulombic energy for molecular crystals

1979 • 57 citations

Size and Compressibility of Ions at High Pressure

1982 • 57 citations

Shock loading of single‐crystal olivine in the 100–200 GPa range

1986 • 57 citations

Mineral and melt physics a summary of research in the United States, 1979–1982

1983 • 56 citations

A new equation of state for high compression

1982 • 56 citations

Reply [to “Comment on ‘On the theoretical evaluation of the Grüneisen function in the harmonic approximation’ by Francesco Mulargia”]

1980 • 56 citations

The differential path phase comparison method for determining pressure derivatives of elastic constants of solids

1982 • 55 citations

Self-consistent T-matrix solution for the effective elastic properties of perfectly disordered multiphase solids

1985 • 55 citations

Energy analyses for the alkaline-earth formates

1981 • 55 citations

Measurement of the adiabats of quartz, forsterite, and magnesium oxide at high pressures and high temperatures and adiabatic gradient in the mantle

1982 • 55 citations

Elastic properties of the lower mantle inferred from rigid ion lattice models

1984 • 55 citations

The effect of pressure on helvite Mn8S2[Be6Si6O24]

1985 • 55 citations

Melting and adiabats of the alkali metals at high compressions

1984 • 54 citations

STATIC P-T-V MEASUREMENTS ON MgO: COMPARISON WITH SHOCK WAVE DATA

1984 • 54 citations

A Test of the NaCl Equation of State by the Behavior of the Shear Velocities at High Pressure

1979 • 54 citations

A novel instrument for high-pressure research at ultra-high temperatures

1986 • 53 citations

High Pressure Phase Transition Observed in Fe2O3 under Shock Compression

1982 • 53 citations

Solids: Equations of State of Solids at Moderately High Pressures

1963 • 53 citations

Velocity-density systematics, mean atomic weight, and the interior of the moon

1981 • 52 citations

Thermodynamic properties of NaCl obtained by computer calculation

1985 • 51 citations

Simple solid-state equations for materials of terrestrial planet interiors.

1988 • 49 citations

Mineral and melt physics

1987 • 48 citations

Correction to “Thermally induced phase changes, lateral heterogeneity of the mantle, continental roots, and deep slab anomalies” by Don L. Anderson

1988 • 47 citations

TRANSDUCER AND BOND PHASE SHIFTS IN ULTRASONICS, AND THEIR EFFECTS ON MEASURED PRESSURE DERIVATIVES OF ELASTIC MODULI

1977 • 45 citations

Equations of State of Matter from Shock Wave Experiments

1966 • 44 citations

Equations of State of Matter at Ultra-High Pressures

1963 • 38 citations

High-pressure phase transformations and compressions of ilmenite and rutile, II. Geophysical implications

1975 • 37 citations

BRILLOUIN SCATTERING: A NEW WAY YO MEASURE ELASTIC MODULI AT HIGH PRESSURES

1977 • 34 citations

THE ELASTIC PROPERTIES OF CERTAIN BASIC ROCKS AND OF THEIR CONSTITUENT MINERALS

1929 • 26 citations

A COMPARISON OF α-QUARTZ SHOCK COMPRESSION DATA WITH RECENT DETERMINATIONS OF THE BULK MODULUS OF STISHOVITE

1977 • 24 citations

Handbook of Physical Properties of Rocks (1982)

2017 • 19 citations

Elastic constants of garnets

1945 • 11 citations

Deleted Work

1955 • 0 citations

Cited By (0)

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