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

[1]  S. Franck,et al.  A generalization of the Vashchenko-Zubarev formula for the Grüneisen parameter , 1980 .

[2]  Raymond Jeanloz,et al.  Wüstite (Fe1‐x O): A review of its defect structure and physical properties , 1984 .

[3]  Shigeru Yamamoto,et al.  The Interrelationship of Thermodynamic Properties Obtained by the Piston‐Cylinder High Pressure Experiments and RPR High Temperature Experiments for Nacl , 2013 .

[4]  Ian Jackson,et al.  The elastic properties of (MgxFe1−x)O solid solutions , 1978 .

[5]  R. Liebermann,et al.  Velocity‐density systematics for the olivine and spinel phases of Mg2SiO4‐Fe2SiO4 , 1970 .

[6]  Stanley Block,et al.  Ultrahigh pressure diamond‐anvil cell and several semiconductor phase transition pressures in relation to the fixed point pressure scale , 1975 .

[7]  R. A. Graham,et al.  Strain Dependence of Longitudinal Piezoelectric, Elastic, and Dielectric Constants of X -Cut Quartz , 1972 .

[8]  Murli H. Manghnani,et al.  Thermal expansion of single-crystal forsterite to 1023 K by Fizeau interferometry , 1985 .

[9]  William R. Busing,et al.  Computational modeling of the structure and elastic constants of the olivine and spinel forms of Mg2SiO4 , 1984 .

[10]  J. Kratochvíl,et al.  Finite‐Strain Theory of Crystalline Elastic‐Inelastic Materials , 1971 .

[11]  W. Bassett,et al.  Rapid determination of Fe3O4 phase diagram by synchrotron radiation , 1986 .

[12]  Nai-hsien Mao,et al.  Uniformity of Mantle Composition , 1975 .

[13]  Raymond Jeanloz,et al.  Phase transitions and mantle discontinuities , 1983 .

[14]  O. Anderson,et al.  Equations for the elastic constants and their pressure derivatives for three cubic lattices and some geophysical applications , 1970 .

[15]  Herbert R. Carleton,et al.  Elasticity of coesite , 1977 .

[16]  G. Filippini,et al.  Calculation of Coulombic energy for molecular crystals , 1979 .

[17]  M. Hortal,et al.  Linear Isothermal Compressibilities of β‐Eucryptite , 1975 .

[18]  R. Liebermann,et al.  Elasticity of ilmenites , 1976 .

[19]  M. E. Striefler,et al.  Lattice dynamics at zero wave vector and elastic constants of spinel in the rigid ion approximation , 1972 .

[20]  Leon Thomsen,et al.  Elasticity of polycrystals and rocks , 1972 .

[21]  J. Watt,et al.  Hashin–Shtrikman bounds on the effective elastic moduli of polycrystals with trigonal (3,3̄) and tetragonal (4,4̄,4m) symmetry , 1986 .

[22]  Earl K. Graham,et al.  The elastic properties of an almandine‐spessartine garnet and elasticity in the garnet solid solution series , 1976 .

[23]  O. Anderson,et al.  The temperature profile of the upper mantle , 1980 .

[24]  Charles S. Smith,et al.  Born model repulsive interactions in the alkali halides determined from ultrasonic data , 1974 .

[25]  Robert M. Hazen,et al.  Bulk modulus—volume relationship for cation-anion polyhedra , 1979 .

[26]  Chi‐yuen Wang,et al.  Equation of state of periclase and some of its geophysical implications , 1969 .

[27]  Jay D. Bass,et al.  Mineral and melt physics , 1987 .

[28]  L. Jones,et al.  High temperature elasticity of rutile-structure MgF2 , 1977 .

[29]  Charles G. Sammis,et al.  Lattice Dynamics of MgO, Al2MgO4 and Mg2SiO4 Spinel , 1972 .

[30]  Isao Suzuki,et al.  Elastic properties of a single-crystal forsterite Mg2SiO4, up to 1,200 K , 1983 .

[31]  Naohiro Soga,et al.  Simplified Method for Calculating Elastic Moduli of Ceramic Powder from Compressibility and Debye Temperature Data , 1966 .

[32]  H. Takeda,et al.  Single crystal X-ray diffraction study on the bond compressibility of fayalite, Fe2SiO4 and rutile, TiO2 under high pressure , 1986 .

[33]  Robert M. Hazen,et al.  Linear compressibilities of low albite; high-pressure structural implications , 1977 .

[34]  Yasuhiro Kudoh,et al.  The crystal structure of covellite CuS under high pressure up to 33 kbar , 1985 .

[35]  K. E. Bullen,et al.  Compression in the Earth , 1968 .

[36]  Don L. Anderson,et al.  Mineralogy and composition of the upper mantle , 1984 .

[37]  R. Liebermann,et al.  Elasticity of Olivine (α), Beta(β), and Spinel (γ) Polymorphs of Germanates and Silicates , 2007 .

[38]  A. Paskin,et al.  The self-consistent cell model equation of state for solids , 1980 .

[39]  Thomas J. Ahrens,et al.  Shock compression of diamond crystal , 1983 .

[40]  Thomas J. Ahrens,et al.  Shock temperatures in CaO , 1984 .

[41]  Susan Werner Kieffer,et al.  Thermodynamics and Lattice Vibrations of Minerals, 4, Application to Chain and Sheet Silicates and Orthosilicates (Paper 80R1044) , 1980 .

[42]  Raymond Jeanloz,et al.  Temperature distribution in the crust and mantle , 1986 .

[43]  Lin-Gun Liu,et al.  Chemistry of the Earth's lower mantle , 1973 .

[44]  F. Birch,et al.  Composition of the Earth's Mantle , 1937 .

[45]  William R. Busing,et al.  Calculation of the elastic constants and high-pressure properties of diopside, CaMgSi/sub 2/O/sub 6/ , 1984 .

[46]  H. Mao,et al.  Effect of Pressure on Crystal Structure and Lattice Parameters of Iron up to 300 kbar , 1967 .

[47]  H. Sawamoto,et al.  ORTHORHOMBIC PEROVSKITE (Mg, Fe)SiO3 AND CONSTITUTION OF THE LOWER MANTLE , 1977 .

[48]  Stanley Block,et al.  Calibration of the pressure dependence of the R1 ruby fluorescence line to 195 kbar , 1975 .

[49]  R. N. Thurston,et al.  Extrapolation formula for finding the volume of solids at high pressures , 1970 .

[50]  K. Walton.  First Pressure Derivative of the Bulk Modulus for Porous Materials , 2009 .

[51]  J. Ross Macdonald,et al.  Some Simple Isothermal Equations of State , 1966 .

[52]  R. Liebermann,et al.  Elastic and thermal properties of fluoride and oxide analogues in the rocksalt, fluorite, rutile and perovskite structures , 1974 .

[53]  Gene Simmons,et al.  Pressure derivatives of the elastic properties of polycrystalline quartz and rutile. , 1969 .

[54]  Hiroshi Watanabe,et al.  Thermochemical Properties of Synthetic High-Pressure Compounds Relevant to the Earth’s Mantle , 1982 .

[55]  Ian Jackson,et al.  Elasticity and phase equilibria of spinel disproportionation reactions , 1977 .

[56]  H. Tamai,et al.  High Pressure and High Temperature Equations of State of Majorite , 2013 .

[57]  L. Knopoff,et al.  Reduction of shock‐wave equations of state to isothermal equations of state , 1969 .

[58]  Susan Werner Kieffer,et al.  Thermodynamics and Lattice Vibrations of Minerals, 2, Vibrational Characteristics of Silicates (Paper 8R1054) , 1979 .

[59]  Dae H. Chung,et al.  Birch's Law: Why Is It So Good? , 1972, Science.

[60]  Thomas J. Ahrens,et al.  Dynamic compression of enstatite , 1971 .

[61]  J. H. Gieske,et al.  Pressure Dependence of the Elastic Constants of Single Crystalline Aluminum Oxide , 1968 .

[62]  G. Lyzenga,et al.  Multiwavelength optical pyrometer for shock compression experiments. , 1979, The Review of scientific instruments.

[63]  R. Hearmon,et al.  The Elastic Constants of Anisotropic Materials , 1946 .

[64]  Raymond Jeanloz,et al.  Inhomogeneity parameter of a homogeneous Earth , 1983, Nature.

[65]  F. Birch,et al.  Density and composition of mantle and core , 1964 .

[66]  D. Vo Thanh,et al.  Experimental study of the elasticity of single crystalline calcite under high pressure (the calcite I-calcite II transition at 14.6 Kbar) , 1984 .

[67]  Seishiro Mizukami,et al.  High-pressure X-ray diffraction studies on - and ?-Mg2SiO4 , 1975 .

[68]  Thomas J. Ahrens,et al.  Petrologic properties of the upper 670 km of the earth's mantle; geophysical implications , 1973 .

[69]  A. L. Frisillo,et al.  Measurement of single‐crystal elastic constants of bronzite as a function of pressure and temperature , 1972 .

[70]  Yosiko Sato,et al.  Hydrostatic compression of four corundum‐type compounds: α‐Al2O3, V2O3, Cr2O3, and α‐Fe2O3 , 1979 .

[71]  Leon Thomsen,et al.  On the high-temperature equation of state of solids. , 1969 .

[72]  D. Weidner,et al.  Elasticity of single crystal pyrope and implications for garnet solid solution series , 1980 .

[73]  Murli H. Manghnani,et al.  Temperature dependence of the elastic constants of single-crystal rutile between 4° and 583°K* , 1972 .

[74]  Shigeru Yamamoto,et al.  Elasticity and anharmonicity of potassium chloride at high temperature , 1987 .

[75]  Frank D. Stacey,et al.  Pressure Dependence of the Thermal Grüneisen Parameter, with Application to the Earth's Lower Mantle and Outer Core , 1975 .

[76]  Lin-Gun Liu,et al.  The mineralogy of an eclogitic earth mantle , 1980 .

[77]  O. Anderson,et al.  Properties of iron at the Earth's core conditions , 1986 .

[78]  Roy G. Gordon,et al.  Density-functional theory for the energy of crystals: Test of the ionic model , 1981 .

[79]  T. Neal,et al.  Dynamic determinations of the Grueneisen coefficient in aluminum and aluminum alloys for densities up to 6 Mg/m/sup 3/ , 1976 .

[80]  O. Anderson,et al.  High‐Temperature Elastic Properties of Polycrystalline MgO and Al2O3 , 1966 .

[81]  G. Rupprecht,et al.  THE ELASTIC CONSTANTS OF STRONTIUM TITANATE , 1963 .

[82]  A. E. Ringwood,et al.  Density distribution and constitution of the mantle , 1964 .

[83]  Husnu Ozkan,et al.  Elastic constants of tourmaline , 1979 .

[84]  N. Christensen,et al.  The magnitude, symmetry and origin of upper mantle anisotropy based on fabric analyses of ultramafic tectonites , 1984 .

[85]  J. W. Shaner,et al.  Specific volume measurements of Cu, Mo, Pd, and Ag and calibration of the ruby R1 fluorescence pressure gauge from 0.06 to 1 Mbar , 1978 .

[86]  Reinhard Boehler,et al.  Internally‐Heated Diamond‐Anvil Cell: Phase Diagram and P‐V‐T of Iron , 2013 .

[87]  Robert M. Hazen,et al.  Crystals at High Pressure , 1985 .

[88]  J. P. Romain,et al.  Melting curve and Grüneisen coefficient for aluminum , 1980 .

[89]  O. Anderson,et al.  A proposed law of corresponding states for oxide compounds , 1966 .

[90]  H. L. Alberts,et al.  The elastic constants and distance dependence of the magnetic interactions of Cr2O3 , 1976 .

[91]  O. L. Anderson,et al.  PREDICTION OF HIGH PRESSURE PHASE TRANSITIONS BY ELASTIC CONSTANT DATA , 1977 .

[92]  Don L. Anderson,et al.  Equations of State and Crystal Structures of High-Pressure Phases of Shocked Silicates and Oxides , 1969 .

[93]  Raymond Jeanloz,et al.  Convection, composition, and the thermal state of the lower mantle , 1979 .

[94]  Raymond Jeanloz,et al.  Majorite: Vibrational and compressional properties of a high‐pressure phase , 1981 .

[95]  A. Jayaraman,et al.  Diamond anvil cell and high-pressure physical investigations , 1983 .

[96]  G. D. Anderson,et al.  Plane shock wave studies of porous geologic media , 1979 .

[97]  O. Anderson,et al.  A universal thermal equation-of-state. , 1984 .

[98]  R. Mcqueen,et al.  SHOCK-WAVE COMPRESSIONS OF TWENTY-SEVEN METALS. EQUATIONS OF STATE OF METALS , 1957 .

[99]  Don L. Anderson,et al.  The Bulk Modulus-Volume Relationship for Oxides , 2013 .

[100]  D. Chung,et al.  General relationships among sound speeds: II. Theory and discussion , 1974 .

[101]  M. E. Striefler,et al.  Elastic and optical properties of rutile-structure fluorides in the rigid-ion approximation , 1973 .

[102]  William A. Bassett,et al.  Modification of the diamond cell for measuring strain and the strength of materials at pressures up to 300 kilobar , 1976 .

[103]  Yasuhiro Kudoh,et al.  The crystal structure of forsterite Mg2SiO4 under high pressure up to 149 kb , 1985 .

[104]  Bob Svendsen,et al.  The Temperature of Shock Compressed Iron , 2013 .

[105]  Thomas J. Ahrens,et al.  Constraints on core composition from shock-waves data , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[106]  Charles G. Sammis,et al.  Equation of state of NaCl: Ultrasonic measurements to 8 kbar and 800°C and static lattice theory , 1972 .

[107]  Daiju Seino,et al.  Effect of distance-dependent exchange interactions in MnO on elastic constants and magnetic susceptibility , 1982 .

[108]  Naohiro Soga,et al.  Elastic constants of garnet under pressure and temperature , 1967 .

[109]  Herbert F. Wang.  Elastic constant systematics , 1978 .

[110]  K. E. Bullen,et al.  An Index of Degree of Chemical Inhomogeneity in the Earth , 1963 .

[111]  Francesco Mulargia,et al.  On the theoretical evaluation of the Grüneisen function in the harmonic approximation , 1978 .

[112]  Don L. Anderson,et al.  Equation of state fits to the lower mantle and outer core , 1978 .

[113]  Geoffrey D. Price,et al.  Computer simulations of the structural and physical properties of the olivine and spinel polymorphs of Mg2SiO4 , 1984 .

[114]  Thomas J. Ahrens,et al.  Equation of state of forsterite , 1971 .

[115]  L. Thomsen,et al.  Equations of State and the Interior of the Earth , 1971 .

[116]  G. Davies,et al.  Equations of state and phase equilibria of stishovite and a coesitelike phase from shock‐wave and other data , 1972 .

[117]  B. Olinger,et al.  A COMPARISON OF α-QUARTZ SHOCK COMPRESSION DATA WITH RECENT DETERMINATIONS OF THE BULK MODULUS OF STISHOVITE , 1977 .

[118]  Ian Jackson,et al.  The Elasticity of Periclase to 3 GPa and Some Geophysical Implications , 1982 .

[119]  G. R. Cowan,et al.  Shock compression of two iron‐silicon alloys to 2.7 megabars , 1966 .

[120]  Arnold M. Karo,et al.  Volume dependence of the Grüneisen γ and other thermodynamic properties of NaCI , 1977 .

[121]  Thomas J. Ahrens,et al.  Shock wave equations of state using mixed‐phase regime data , 1984 .

[122]  Don L. Anderson,et al.  Application of isotropic finite strain theory to ultrasonic and seismological data , 1970 .

[123]  Charles G. Sammis,et al.  An evaluation of finite strain equations of state using a lattice model , 1980 .

[124]  R. Liebermann,et al.  Elasticity of Pyroxene‐Garnet and Pyroxene‐Ilmenite Phase Transformations in Germanates , 1974 .

[125]  Murli H. Manghnani,et al.  Pressure Measurement at High Temperature in X-Ray Diffraction Studies: Gold as a Primary Standard , 1982 .

[126]  P. N. La Mori,et al.  Isothermal compressibility of kyanite, andalusite, and sillimanite from synthetic aggregates , 1969 .

[127]  F. Birch,et al.  The Melting Relations of Iron, and Temperatures in the Earth's Core , 1972 .

[128]  William A. Bassett,et al.  Changes of the crystal structure and the lattice parameter of SrO at high pressure , 1973 .

[129]  E. K. Graham,et al.  Elastic properties of the lower mantle inferred from rigid ion lattice models , 1984 .

[130]  R. Hill.  The Elastic Behaviour of a Crystalline Aggregate , 1952 .

[131]  O. Anderson,et al.  Elastic constants of the central force model for cubic structures: Polycrystalline aggregates and instabilities , 1971 .

[132]  M. P. Madan,et al.  Mode‐Grüneisen parameters of alkali halides , 1973 .

[133]  Thomas J. Ahrens,et al.  Shock wave properties of anorthosite and gabbro , 1985 .

[134]  Lin-Gun Liu,et al.  Bulk moduli of wüstite and periclase: a comparative study , 1987 .

[135]  Gene Simmons,et al.  Velocity of compressional waves in various minerals at pressures to 10 kilobars , 1964 .

[136]  Lin-Gun Liu,et al.  Compression of ice VII to 500 kbar , 1982 .

[137]  Larry L. Boyer,et al.  First-principles equation-of-state calculations for alkali halides , 1981 .

[138]  D. Chung,et al.  General relationships among sound speeds: I. New experimental information , 1974 .

[139]  Thomas J. Ahrens,et al.  The equation of state of Mg0.6Fe0.4O to 200 GPa , 1982 .

[140]  J. C. Jamieson,et al.  Pressure dependence of the elastic constants of nonmetamict zircon , 1978 .

[141]  J. Watt,et al.  Walpole bounds on the effective elastic moduli of isotropic multicomponent composites , 1986 .

[142]  Don L. Anderson,et al.  The 650 km mantle discontinuity , 1976 .

[143]  R. G. Munro,et al.  Reliability of the isothermal bulk modulus deduced from model equations of state , 1984 .

[144]  K. Iishi,et al.  Lattice dynamics of corundum , 1978 .

[145]  N. Christensen,et al.  Compressional wave velocities in possible mantle rocks to pressures of 30 kilobars , 1974 .

[146]  S. N. Vaidya,et al.  Compressibility of 22 elemental solids to 45 KB , 1972 .

[147]  Ian Jackson,et al.  Some geophysical constraints on the chemical composition of the earth's lower mantle , 2013 .

[148]  Frank D. Stacey,et al.  Applications of thermodynamics to fundamental earth physics , 1977 .

[149]  Lalit C. Chhabildas,et al.  Isothermal equation of state for sodium chloride by the length‐change‐measurement technique , 1976 .

[150]  J. J. Gilvarry,et al.  Temperature‐Dependent Equations of State of Solids , 1957 .

[151]  G. Davies,et al.  The Estimation of Elastic Properties from Analogue Compounds , 1976 .

[152]  Robert M. Hazen,et al.  Compressibility and crystal structure of andalusite at high pressure , 1984 .

[153]  A. Gow,et al.  Linear compressibility of ice , 1972 .

[154]  S. P. Marsh,et al.  Shock‐wave compression of iron‐nickel alloys and the Earth's core , 1966 .

[155]  A. Revcolevschi,et al.  Elastic Constants of Fe1‐xO Single Crystals , 1981 .

[156]  Frank D. Stacey,et al.  Physical properties of the Earth's core , 1972 .

[157]  Frederick J. Rich,et al.  Acoustic velocities in polycrystalline NaCl at 300°K measured at static pressures from 25 to 270 kbar , 1976 .

[158]  Uwe Walzer,et al.  A new equation of state for high compression , 1982 .

[159]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[160]  G. Davies,et al.  Quasi-harmonic finite strain equations of state of solids* , 1973 .

[161]  Harry G. Drickamer,et al.  Effect of High Pressure on the Lattice Parameters of Diamond, Graphite, and Hexagonal Boron Nitride , 1966 .

[162]  Thomas J. Ahrens,et al.  Heterogeneous shock-induced thermal radiation in minerals , 1983 .

[163]  Thomas J. Ahrens,et al.  6. Shock Wave Techniques for Geophysics and Planetary Physics , 1987 .

[164]  Taro Takahashi,et al.  Isothermal compression of magnetite to 320 KB , 1974 .

[165]  Subir K. Banerjee,et al.  Magnetoelastic interactions in hematite: Implications for geophysics , 1971 .

[166]  Naohiro Soga,et al.  Sound velocity of some germanate compounds and its relation to the law of corresponding states , 1971 .

[167]  M. Newton,et al.  Ab initio calculation of interatomic force constants in H6Si2O7 and the bulk modulus of α quartz and α cristobalite , 1980 .

[168]  J. Watt,et al.  The Elastic Properties of Composite Materials , 1976 .

[169]  K. Schäfer,et al.  High-Pressure Properties of Matter , 1980 .

[170]  Reinhard Boehler,et al.  Grüneisen parameter of cesium and rubidium at high pressure and the nature of the isostructural electronic transition , 1984 .

[171]  Don L. Anderson,et al.  Phase Changes in the Upper Mantle , 1967, Science.

[172]  J. R. Riter,et al.  Murnaghan parameter B′o estimates from morse potential for zincblende structure group iva covalent crystals , 1978 .

[173]  Peter M. Bell,et al.  Equations of state of CaO under static pressure conditions , 1981 .

[174]  N. Dass,et al.  Derivation of Some Equations of State for Solids. A New Approach , 1985 .

[175]  Gene Simmons,et al.  Chrysoberyl (Al2BeO4): Anomaly in velocity‐density systematics , 1975 .

[176]  Thomas J. Ahrens,et al.  Longitudinal elastic velocities in MgO to 360 KB , 1977 .

[177]  Frank D. Stacey,et al.  The thermal boundary-layer interpretation of D″ and its role as a plume source , 1983 .

[178]  Ian Jackson,et al.  Thermodynamics of the system Fe—FeO—MgO at high pressure and temperature and a model for formation of the Earth's core , 1983 .

[179]  Eiji Ito,et al.  Hydrostatic compression of ilmenite phase of ZnSiO3 and MgGeO3 , 1977 .

[180]  H Grimm,et al.  Phonon dispersion branches in α quartz , 1980 .

[181]  R. N. Schock,et al.  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 .

[182]  C. R. Cleavelin,et al.  Elastic constants of LiBr from 300° to 4.2°K , 1969 .

[183]  D. Weidner,et al.  Elastic properties of hedenbergite , 1988 .

[184]  T. Usselman,et al.  Experimental approach to the state of the core; Part II, Composition and thermal regime , 1975 .

[185]  Mineo Kumazawa,et al.  Elastic moduli, pressure derivatives, and temperature derivatives of single‐crystal olivine and single‐crystal forsterite , 1969 .

[186]  T. Ahrens,et al.  Densities of Liquid Silicates at High Pressures , 1984, Science.

[187]  O. Anderson,et al.  Elastic constants of the central force model for three cubic stuctures: Pressure derivatives and equations of state , 1970 .

[188]  Reinhard Boehler,et al.  Thermal expansion of LiF at high pressures , 1980 .

[189]  D. Weidner,et al.  Elasticity of MgSiO3 in the ilmenite phase , 1985 .

[190]  Thomas J. Ahrens,et al.  Application of the fourth-order anharmonic theory to the prediction of equations of state at high compressions and temperatures. , 1972 .

[191]  O. Anderson,et al.  The use of ultrasonic measurements under modest pressure to estimate compression at high pressure , 1966 .

[192]  Robert M. Hazen,et al.  Crystal structures and compressibilities of pyrope and grossular to 60 kbar , 1978 .

[193]  Bob Svendsen,et al.  Dynamic compression of diopside and salite to 200 GPa , 1983 .

[194]  Thomas J. Ahrens,et al.  Hugoniot data for pyrrhotite and the Earth's core , 1984 .

[195]  T. Yagi,et al.  Effect of hydrostatic pressure on the lattice parameters of Fe2SiO4 olivine up to 70 kbar , 1975 .

[196]  Don L. Anderson,et al.  The composition of the lower mantle , 1970 .

[197]  R. Mcqueen,et al.  Phase transitions, Grüneisen parameter, and elasticity for shocked iron between 77 GPa and 400 GPa , 1986 .

[198]  D. Bancroft.  The Velocity of Longitudinal Waves in Cylindrical Bars , 1941 .

[199]  J. N. Fritz,et al.  CHAPTER VII – THE EQUATION OF STATE OF SOLIDS FROM SHOCK WAVE STUDIES , 1970 .

[200]  Murli H. Manghnani,et al.  Variation of elastic constants of cubic PbF2 with volume , 1986 .

[201]  F. Birch,et al.  Thermal expansion at high pressures , 1968 .

[202]  R. C. Bradt,et al.  Room‐Temperature KIc Values for Single‐Crystal and Polycrystalline MgAl2O4 , 1981 .

[203]  O. Anderson,et al.  Comments on the power law representation of Birch's law , 1973 .

[204]  Raymond Jeanloz,et al.  Anorthite: Thermal equation of state to high pressures. [for comparison with Earth interior and cratering properties of lunar surface , 1980 .

[205]  Heinz Schulz,et al.  High‐pressure single‐crystal structure determinations for ruby up to 90 kbar using an automatic diffractometer , 1978 .

[206]  Thomas J. Ahrens,et al.  The role of iron partitioning in mantle composition, evolution, and scale of convection , 1982 .

[207]  D. N. Nichols,et al.  Pressure dependences of the elastic constants of single-crystal Ti2O3 at 296 K , 1978 .

[208]  J. B. Walsh.  Theoretical bounds on the adiabatic compressibility of rocks , 1973 .

[209]  Bernard Budiansky,et al.  Seismic velocities in dry and saturated cracked solids , 1974 .

[210]  George H. Shaw,et al.  Elastic properties of silver iodide at high pressure and temperatures: Thermally activated velocity anomaly in the B1 phase , 1979 .

[211]  L. Jones,et al.  High-temperature elasticity of the fluorite-structure compounds CaF2, SrF2 and BaF2 , 1977 .

[212]  Larry L. Boyer,et al.  Calculation of Thermal Expansion, Compressiblity, an Melting in Alkali Halides: NaCl and KCl , 1979 .

[213]  Y. K. Huang.  Simple model for solids under pressure , 1976 .

[214]  W. Klement,et al.  Effect of pressure on the melting of iron , 1965 .

[215]  Tsuneaki Goto,et al.  High Pressure Phase Transition Observed in Fe2O3 under Shock Compression , 1982 .

[216]  Robert M. Hazen,et al.  High-pressure crystal chemistry of chrysoberyl, Al2BeO4: Insights on the origin of olivine elastic anisotropy , 1987 .

[217]  Thomas J. Ahrens,et al.  Measurement of elastic velocities of MgO under shock compression to 500 kilobars , 1973 .

[218]  J. N. Plendl,et al.  Some New Interrelations in the Properties of Solids Based on Anharmonic Cohesive Forces , 1961 .

[219]  R. E. Lechner,et al.  Mode Grüneisen parameter dispersion relation of RbI determined by neutron scattering , 1975 .

[220]  Satoshi Sasaki,et al.  Single‐crystal elastic properties of the spinel phase of Mg2SiO4 , 1984 .

[221]  B. Olinger,et al.  COMPRESSION STUDIES OF FORSTERITE (Mg2SiO4) AND ENSTATITE(MgSiO3) , 1977 .

[222]  Osamu Nishizawa,et al.  Temperature variation of elastic constants of single-crystal forsterite between -190.DEG. and 400.DEG.C. , 1977 .

[223]  Tsuneaki Goto,et al.  Shock‐Induced Phase Transitions in Rutile Single Crystal , 2013 .

[224]  D. O. Pederson,et al.  Elastic Constants of RbF from 300 to 4.2 K , 1972 .

[225]  A. F. Guillermet,et al.  The pressure dependence of the expansivity and of the Anderson-Grüneisen parameter in the Murnaghan approximation , 1986 .

[226]  Z. Chang,et al.  Pressure dependence of single‐crystal elastic constants and anharmonic properties of spinel , 1973 .

[227]  Reinhard Boehler,et al.  Grüneisen parameter of quartz, quartzite, and fluorite at high pressures , 1979 .

[228]  Donald J. Weidner,et al.  Mineral Physics Constraints on a Uniform Mantle Composition , 2013 .

[229]  G. Simmons,et al.  Pressure and Temperature Dependences of the Isotropic Elastic Moduli of Polycrystalline Alumina , 1968 .

[230]  D. Stevenson,et al.  Models of the Earth's Core , 1981, Science.

[231]  A. E. Ringwood,et al.  Phase transformations in the mantle , 1968 .

[232]  P. J. Reddy,et al.  Temperature dependence of elastic compliances of garnet , 1964 .

[233]  M. E. Striefler,et al.  Elastic and optical properties of stishovite , 1976 .

[234]  Robert M. Hazen,et al.  Calcium Fluoride as an Internal Pressure Standard in High-Pressure/High-Temperature Crystallography , 1981 .

[235]  R. N. Schock,et al.  Additional data on the compression of olivine to 140 kilobars , 1972 .

[236]  Hitoshi Mizutani,et al.  Crystal field effect on bulk moduli of transition metal oxides , 1978 .

[237]  William A. Bassett,et al.  Effect of pressure on the crystal structure and the lattice parameters of BaO , 1972 .

[238]  F. Birch.  The velocity of compressional waves in rocks to 10 kilobars: 1. , 1960 .

[239]  Naohiro Soga,et al.  Temperature and pressure derivatives of isotropic sound velocities of α quartz , 1968 .

[240]  Osamu Nishizawa,et al.  THE ELASTIC CONSTANTS OF SINGLE CRYSTAL Fe1-xO, MnO AND CoO, AND THE ELASTICITY OF STOICHIOMETRIC MAGNESIOWÜSTITE , 1980 .

[241]  Murli H. Manghnani,et al.  Elastic constants of single‐crystal rutile under pressures to 7.5 kilobars , 1969 .

[242]  P. Couchman,et al.  Limiting low temperature value of the grüneisen parameter for metals , 1975 .

[243]  R. Hazen,et al.  High-Pressure crystal chemistry of spinel (MgAl2O4) and magnetite (Fe3O4): Comparisons with silicate spinels , 1986 .

[244]  Taro Takahashi,et al.  Isothermal compression of the spinel phase of Ni2SiO4 up to 300 kilobars at room temperature , 1970 .

[245]  L. Knopoff,et al.  The theory of finite strain and compressibility of solids , 1963 .

[246]  O. L. Anderson,et al.  Comments on the negative pressure dependence of the shear modulus found in some oxides , 1968 .

[247]  N. Mao,et al.  Velocity-density systematics and its implications for the iron content of the mantle , 1974 .

[248]  Jay D. Bass,et al.  Single crystal elastic properties of protoenstatite: A comparison with orthoenstatite , 1983 .

[249]  G. Kennedy,et al.  Pressure dependence of the Grüneisen parameter of sodium and potassium , 1979 .

[250]  J. C. Jamieson,et al.  X‐Ray Diffraction Studies in the 100 Kilobar Pressure Range , 1962 .

[251]  Don L. Anderson,et al.  Composition of the Mantle and Core , 1977 .

[252]  Jerry Wackerle,et al.  Shock‐Wave Compression of Quartz , 1962 .

[253]  D. J. Dever,et al.  Temperature dependence of the elastic constants in α‐iron single crystals: relationship to spin order and diffusion anomalies , 1972 .

[254]  Kirk A. Maasch,et al.  Acoustic and static compression experiments on the elastic behavior of hematite , 1986 .

[255]  H. Mao,et al.  Ultrahigh Pressure: Beyond 2 Megabars and the Ruby Fluorescence Scale , 1984, Science.

[256]  Peter M. Bell,et al.  Error Analysis of Parameter‐Fitting in Equations of State for Mantle Minerals , 2013 .

[257]  A. E. Ringwood,et al.  Phase transformations and mantle dynamics , 1972 .

[258]  J. J. Gilvarry,et al.  Temperature Correction of Birch's Equation of State , 1962 .

[259]  Thomas J. Ahrens,et al.  Hugoniot equation of state of periclase to 200 GPa , 1981 .

[260]  Francesco Mulargia,et al.  Is the common definition of the Mie‐Grüneisen equation of state inconsistent? , 1977 .

[261]  Knittle,et al.  High-pressure phase transition in CsBr. , 1985, Physical review. B, Condensed matter.

[262]  M. E. Striefler,et al.  Elastic, optical, and dielectric properties and their pressure derivatives of rutile‐structure oxides in a modified rigid ion approximation , 1975 .

[263]  Murli H. Manghnani,et al.  Effect of Axial Ratio Changes on the Elastic Moduli and Grüneisen γ for Lower Symmetry Crystals , 1970 .

[264]  Frank D. Stacey,et al.  A thermodynamically based equation of state for the lower mantle , 1979 .

[265]  M. E. Striefler,et al.  Lattice dynamics of a-quartz , 1975 .

[266]  J. Watt,et al.  Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with orthorhombic symmetry , 1979 .

[267]  Jay D. Bass,et al.  The effect of crystal structure and composition on elastic properties of silicates. , 1982 .

[268]  James E. Mackey,et al.  Some Combinations of Third‐Order Elastic Constants for Strontium Titanate Single Crystals , 1969 .

[269]  Thomas J. Ahrens,et al.  Shock compression of feldspars , 1969 .

[270]  Harold H. Demarest,et al.  Comment on ‘On the theoretical evaluation of the Grüneisen function in the harmonic approximation’ by Francesco Mulargia , 1980 .

[271]  M. P. Madan,et al.  Temperature Dependence of the Bulk Modulus of Alkali Halides , 1971 .

[272]  Thomas J. Ahrens,et al.  Shock temperatures in anorthite glass , 1986 .

[273]  H. J. Mcskimin,et al.  Variations of the Ultrasonic Pulse‐Superposition Method for Increasing the Sensitivity of Delay‐Time Measurements , 1965 .

[274]  R. Verma,et al.  Elasticity of some high-density crystals , 1960 .

[275]  D. Weidner,et al.  A mineral physics test of a pyrolite mantle , 1985 .

[276]  E. K. Graham,et al.  On the Occurrence of (Mg, Fe)SiO3 in the Lower Mantle , 2007 .

[277]  Gene Simmons,et al.  Velocity of shear waves in rocks to 10 kilobars, 1 , 1964 .

[278]  Anthony W. England,et al.  Universal equations of state for oxides and silicates , 1969 .

[279]  O. Blaschko,et al.  Pressure induced phonon frequency shifts in KBr measured by inelastic neutron scattering , 1975 .

[280]  Tetsuo Irifune,et al.  The eclogite-garnetite transformation at high pressure and some geophysical implications , 1986 .

[281]  R. Ruppin,et al.  Grüneisen Parameters of the Alkali Halides , 1971 .

[282]  G. Davies,et al.  TRANSDUCER AND BOND PHASE SHIFTS IN ULTRASONICS, AND THEIR EFFECTS ON MEASURED PRESSURE DERIVATIVES OF ELASTIC MODULI , 1977 .

[283]  O. Anderson.  The Earth's core and the phase diagram of iron , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[284]  Equations of state of iron sulfide and constraints on the sulfur content of the Earth , 1979 .

[285]  A. E. Ringwood,et al.  Synthesis of a perovskite-type polymorph of CaSiO3 , 1975 .

[286]  R. L. Mills,et al.  A novel instrument for high-pressure research at ultra-high temperatures , 1986 .

[287]  Harry G. Drickamer,et al.  Effect of High Pressures on the Compressibilities of Seven Crystals Having the NaCl or CsCl Structure , 1965 .

[288]  Jay D. Bass,et al.  Elasticity of single‐crystal orthoferrosilite , 1984 .

[289]  D. Weidner,et al.  Compression of pyrope , 1979 .

[290]  J. M. Brown,et al.  Thermodynamic parameters in the Earth as determined from seismic profiles , 1981 .

[291]  R. Hardy,et al.  Grüneisen γ and other thermodynamic properties of cesium halide crystals at zero and elevated pressures , 1978 .

[292]  Bruce J. Douglas,et al.  Upper mantle anisotropy: A preliminary model , 1986 .

[293]  Naoya Uchida,et al.  Elastic and Photoelastic Constants of α‐ZnS , 1972 .

[294]  Albert C. Holt,et al.  Calculations of the Grüneisen Parameter for Some Models of the Solid , 1970 .

[295]  J. R. Macdonald,et al.  Discrimination Between Equations of State. , 1971, Journal of Research of the National Bureau of Standards Section A Physics and Chemistry.

[296]  Lin-Gun Liu,et al.  The pyroxene-garnet transformation and its implication for the 200-km seismic discontinuity , 1980 .

[297]  Naohiro Soga,et al.  Anomalous Behavior of the Shear‐Sound Velocity under Pressure for Polycrystalline ZnO , 1967 .

[298]  Lin-gun Liu,et al.  High-pressure phase transformations and compressions of ilmenite and rutile, II. Geophysical implications , 1975 .

[299]  G. R. Barsch,et al.  Elastic and thermoelastic constants of nepheline , 1975 .

[300]  C. J. Hostetler,et al.  Thermodynamic properties of NaCl obtained by computer calculation , 1985 .

[301]  Prashant K. Sharma,et al.  Grneisen Parameters of Cubic Metals , 1970 .

[302]  Taro Takahashi,et al.  The Composition of the Earth's Interior , 1965 .

[303]  Glyn M. Jones.  Thermal interaction of the core and the mantle and long‐term behavior of the geomagnetic field , 1977 .

[304]  Lin-gun Liu,et al.  High-pressure phase transformations and compressions of ilmenite and rutile, I. Experimental results , 1975 .

[305]  Thomas J. Ahrens,et al.  Shock compression of ilmenite , 1976 .

[306]  L. Knopoff,et al.  Comments on the interrelationships between Grüneisen's parameter and shock and isothermal equations of state , 1969 .

[307]  J. Walsh,et al.  EQUATION OF STATE OF METALS FROM SHOCK WAVE MEASUREMENTS , 1955 .

[308]  V. V. Palciauskas,et al.  The volume dependence of the Grneisen parameter and crystal stability , 1975 .

[309]  R. Gordon,et al.  Theoretical study of solid NaF and NaCl at high pressures and temperatures , 1985 .

[310]  J. Brown,et al.  The electronic thermodynamics of iron under Earth core conditions , 1986 .

[311]  Peter M. Bell,et al.  Calibration of the ruby pressure gauge to 800 kbar under quasi‐hydrostatic conditions , 1986 .

[312]  D. Weidner,et al.  Mantle Model Based on Measured Physical Properties of Minerals , 1986 .

[313]  Robert M. Hazen,et al.  High‐pressure and high‐temperature crystal chemistry of beryllium oxide , 1986 .

[314]  O. Anderson,et al.  Pressure Derivatives of Elastic Constants of Single‐Crystal MgO at 23° and ‐195.8°C , 1966 .

[315]  Jay D. Bass,et al.  The single‐crystal elastic moduli of stishovite , 1982 .

[316]  J. D. Jorgensen,et al.  Compression mechanisms in α‐quartz structures—SiO2 and GeO2 , 1978 .

[317]  H. J. Mcskimin,et al.  4 – Ultrasonic Methods for Measuring the Mechanical Properties of Liquids and Solids , 1964 .

[318]  Li Chung Ming,et al.  Resistive heating in the diamond-anvil cell under vacuum conditions , 2013 .

[319]  D. Chung,et al.  Elasticity of Stishovite Revisited , 1979 .

[320]  Raymond Jeanloz,et al.  Mineral and Melt Physics, A Summary of Research in the United States 1979-1982 (Paper 2R1904) , 1983 .

[321]  Mineo Kumazawa,et al.  MEASUREMENT OF ELASTIC CONSTANTS AND INTERNAL FRICTIONS ON SINGLE-CRYSTAL MgO BY RECTANGULAR PARALLELEPIPED RESONANCE , 1976 .

[322]  T. Ahrens,et al.  Post-shock temperatures in minerals , 1979 .

[323]  J. Henry,et al.  Equation of state and conduction bands of iron at high pressures , 1962 .

[324]  G. R. Barsch,et al.  Higher order elastic constants of alkali halides , 1976 .

[325]  D. Weidner,et al.  The relationship of elasticity and crystal structure in andalusite and sillimanite , 1978 .

[326]  Bernard J. Wood,et al.  The 400-km seismic discontinuity and the proportion of olivine in the Earth's upper mantle , 1986, Nature.

[327]  Taro Takahashi,et al.  Isothermal compression of the alloys of iron up to 300 kilobars at room temperature: Iron‐nickel alloys , 1968 .

[328]  D.E.G. Williams,et al.  The low temperature limits of electronic Grüneisen parameters , 1976 .

[329]  Roy G. Gordon,et al.  First‐principles theory for the equations of state of minerals at high pressures and temperatures: Application to MgO , 1985 .

[330]  Murli H. Manghnani,et al.  Ultrasonic studies on a basalt melt , 1981 .

[331]  Louis R. Rossi,et al.  Elastic Properties of Oxide Solid Solutions: The System Al2O3−Cr2O3 , 1970 .

[332]  R. A. Johnson,et al.  Relationship between two-body interatomic potentials in a lattice model and elastic constants. II , 1972 .

[333]  C. Swenson,et al.  Equation of state of cubic solids; some generalizations☆ , 1968 .

[334]  R. C. Hewson-Browne.  Magnetic effects of sea tides , 1973 .

[335]  J. Ross Macdonald,et al.  Review of Some Experimental and Analytical Equations of State , 1969 .

[336]  W. C. Hahn,et al.  Elastic moduli of pressure-sintered nickel oxide , 1971 .

[337]  Kunihito Nagayama,et al.  Shock compression of zirconia ZrO2 and zircon ZrSiO4 in the pressure range up to 150 GPa , 1983 .

[338]  O. Anderson,et al.  A scaling law for K′0 for silicates with constant mean atomic mass , 1973 .

[339]  Jun Ito,et al.  Elasticity of orthoenstatite , 1978 .

[340]  G. Davies,et al.  Effective elastic moduli under hydrostatic stress—I. quasi-harmonic theory , 1974 .

[341]  W. Bassett,et al.  X ray diffraction compression studies of hematite under hydrostatic, isothermal conditions , 1978 .

[342]  R. J. Sladek,et al.  Elastic constants of semiconducting Ti2O3 and metallic (Ti1−xVx)2O3 at 1.5 K☆ , 1976 .

[343]  Naohiro Soga,et al.  A restriction to the law of corresponding states , 1967 .

[344]  Yoshikazu Ishikawa,et al.  Anomalous Elastic Properties of Fe2TiO4 , 1971 .

[345]  Roy G. Gordon,et al.  Theory of the lattice energy, equilibrium structure, elastic constants, and pressure-induced phase transitions in alkali-halide crystals , 1975 .

[346]  George A. Samara,et al.  Pressure Dependence of the Elastic Constants of SrTiO3 , 1971 .

[347]  Charles S. Smith,et al.  Temperature derivatives at constant volume of the elastic constants of the alkali halides , 1979 .

[348]  Murli H. Manghnani,et al.  an interferometric technique for measuring velocity and attenuation in molten rocks , 1981 .

[349]  O. Anderson,et al.  Equation for thermal expansivity in planetary interiors , 1967 .

[350]  Robert M. Hazen,et al.  Compressibilities and high‐pressure phase transitions of sodium tungstate perovskites (NaxWO3) , 1984 .

[351]  K. Kawasaki,et al.  Velocity of Sound in MnF2near the Néel Temperature , 1970 .

[352]  Heinz Schulz,et al.  Isothermal compression of low-cordierite to 30 kbar (25° C) , 1984 .

[353]  L. Guttman,et al.  Computation of elastic moduli from interatomic forces , 1979 .

[354]  C. Prewitt,et al.  Size and Compressibility of Ions at High Pressure , 1982 .

[355]  Harry G. Drickamer,et al.  Lattice Parameters of Nine Oxides and Sulfides as a Function of Pressure , 1966 .

[356]  Raymond Jeanloz,et al.  Compression of the B2 high-pressure phase of NaCl , 1984 .

[357]  A. E. Ringwood,et al.  Elastic properties of anorthite and the nature of the lunar crust , 1976 .

[358]  Carl F. Cline,et al.  Elastic Constants of Hexagonal BeO, ZnS, and CdSe , 1967 .

[359]  R. Melcher,et al.  Elastic Properties of MnF 2 , 1970 .

[360]  E. G. Spencer,et al.  Microwave Elastic Properties of Nonmagnetic Garnets , 1963 .

[361]  Gregory A. Lyzenga,et al.  Temperatures Induced by Shock Waves in Minerals: Applications to Geophysics , 1982 .

[362]  Leon Knopoff,et al.  Density-Velocity Relations for Rocks , 1967 .

[363]  F. Birch,et al.  Numerical experiments on the velocities in aggregates of olivine , 1972 .

[364]  Raymond Jeanloz,et al.  Properties of iron at high pressures and the state of the core , 1979 .

[365]  L W Finger,et al.  Crystal Chemistry of Silicon—Oxygen Bonds at High Pressure: Implications for the Earth's Mantle Mineralogy , 1978, Science.

[366]  George H. Shaw,et al.  Phase transitions, elasticity‐density relations, and the univalent halides , 1974 .

[367]  W. A. Bensch,et al.  Third-Order Elastic Constants of NaF , 1972 .

[368]  J. Tossell,et al.  Theoretical study of structures, stabilities, and phase transitions in some metal dihalide and dioxide polymorphs , 1980 .

[369]  K. Walton,et al.  The First Pressure Derivative of the Shear Modulus of Porous Materials , 1974 .

[370]  H. Mizutani,et al.  ULTRASONIC WAVE VELOCITY MEASUREMENTS IN SOLIDS UNDER HIGH PRESSURE USING SOLID PRESSURE MEDIA , 1977 .

[371]  Ken-ichi Kondo,et al.  Nonlinear pressure dependence of the elastic moduli of fused quartz up to 3 GPa , 1981 .

[372]  F. Birch.  Finite Elastic Strain of Cubic Crystals , 1947 .

[373]  P. Gielisse,et al.  Compressibility, Cohesive Energy, and Hardness of Non‐Metallic Solids , 1965 .

[374]  R. Jeanloz,et al.  Structural and Bonding Changes in Cesium Iodide at High Pressures , 1984, Science.

[375]  Don L. Anderson,et al.  Interpretation of velocity profiles of the mantle , 1975 .

[376]  A. V. Granato,et al.  Third-Order Elastic Constants of RbMnF3 , 1973 .

[377]  Robert M. Hazen,et al.  Crystal structure and isothermal compression of Fe2O3, Cr2O3, and V2O3 to 50 kbars , 1980 .

[378]  W. Bassett,et al.  BRILLOUIN SCATTERING: A NEW WAY YO MEASURE ELASTIC MODULI AT HIGH PRESSURES , 1977 .

[379]  Leon Thomsen,et al.  Elastic shear moduli and crystal stability at high P and T , 1971 .

[380]  Thomas J. Ahrens,et al.  Shock-wave compression of vitreous and rutile-type GeO2: A comparative study , 1979 .

[381]  Donald O. Pederson,et al.  Elastic constants of cadmium fluoride from 4.2 to 295 K , 1977 .

[382]  Hitoshi Mizutani,et al.  Compressional-wave velocities of fayalite, Fe2SiO4 spinel, and coesite , 1970 .

[383]  E. A. Kraut,et al.  New Melting Law at High Pressures , 1966 .

[384]  D. Gerlich,et al.  Second pressure derivatives of the elastic moduli of fused quartz , 1978 .

[385]  H. J. Mcskimin,et al.  Pulse Superposition Method for Measuring Ultrasonic Wave Velocities in Solids , 1961 .

[386]  Chi‐yuen Wang,et al.  A Simple Earth Model , 1972 .

[387]  Thomas J. Ahrens,et al.  A shock-induced phase change in iron-silicate garnet , 1972 .

[388]  T. Shankland.  Physical properties of minerals and melts , 1979 .

[389]  Don L. Anderson,et al.  The upper mantle transition region - Eclogite , 1979 .

[390]  Gene Simmons,et al.  Elastic Constants of Pyrite , 1963 .

[391]  Ronald E. Cohen,et al.  Calculation of elasticity and high pressure instabilities in corundum and stishovite with the Potential Induced Breathing Model , 1987 .

[392]  Dattatraya P. Dandekar,et al.  Elastic Constants of Calcite , 1968 .

[393]  Robert M. Hazen,et al.  Crystal structure and compressibility of zircon at high pressure , 1979 .

[394]  Don L. Anderson,et al.  A seismic equation of state II. Shear properties and thermodynamics of the lower mantle , 1987 .

[395]  D. E. Grady,et al.  PROCESSES OCCURRING IN SHOCK WAVE COMPRESSION OF ROCKS AND MINERALS , 1977 .

[396]  R. Keller,et al.  Diamond anvil device for x‐ray diffraction on single crystals under pressures up to 100 kilobar , 1977 .

[397]  M. Matsui,et al.  Energy analyses for the alkaline-earth formates , 1981 .

[398]  E. K. Graham,et al.  Temperatures in the mantle as inferred from simple compositional models , 1976 .

[399]  M. S. T. Bukowinski,et al.  First principles equations of state of MgO and CaO , 1985 .

[400]  Robert M. Hazen,et al.  Effects of temperature and pressure on the crystal structure of forsterite , 1976 .

[401]  H. B. Huntington.  The Elastic Constants of Crystals , 1958 .

[402]  Yoshio Sumino,et al.  THE ELASTIC CONSTANTS OF Mn2SiO4, Fe2SiO4 AND Co2SiO4, AND THE ELASTIC PROPERTIES OF OLIVINE GROUP MINERALS AT HIGH TEMPERATURE , 1979 .

[403]  R. Liebermann,et al.  Elasticity of the olivine‐spinel and olivine‐β phase transformations and the 400‐kilometer discontinuity of the mantle , 1973 .

[404]  F. Stacey,et al.  Theory of melting: thermodynamic basis of Lindemann's law , 1977 .

[405]  F. Birch,et al.  Isotherms of the rare gas solids , 1976 .

[406]  T. B. Bateman,et al.  Elastic Moduli of Single‐Crystal Europium Iron Garnet and Yttrium Iron Garnet , 1966 .

[407]  Frank D. Stacey,et al.  The Grüneisen parameter at high pressure: a molecular dynamical study , 1985 .

[408]  Earl K. Graham.  Elasticity and Composition of the Upper Mantle , 1970 .

[409]  Takayasu Goto,et al.  THE DETERMINATION OF THE ELASTIC CONSTANTS OF NATURAL ALMANDINE-PYROPE GARNET BY RECTANGULAR PARALLELEPIPED RESONANCE METHOD , 1976 .

[410]  Leon Thomsen,et al.  On the distributions of density and temperature in the low‐velocity zone , 1967 .

[411]  Michael D. Furnish,et al.  Thermodynamics for (Mg, Fe)2SiO4 from the Hugoniot , 2013 .

[412]  Murli H. Manghnani,et al.  High-pressure phase transformations in vitreous and crystalline GeO2 (rutile) , 1983 .

[413]  A G McLellan,et al.  Finite strain coordinates and the stability of solid phases , 1976 .

[414]  Herbert R. Carleton,et al.  Elasticity of microcrystals , 1975 .

[415]  Roger G. Burns.  Polyhedral bulk moduli from high-pressure crystal field spectra , 2013 .

[416]  G. Davies,et al.  Invariant finite strain measures in elasticity and lattice dynamics , 1973 .

[417]  Susan Werner Kieffer,et al.  Thermodynamics and lattice vibrations of minerals: 1. Mineral heat capacities and their relationships to simple lattice vibrational models , 1979 .

[418]  M. Delannoy,et al.  On the determination of the volume dependence of Grüneisen parameters in cubic and non-cubic solids , 1979 .

[419]  Kenneth R. Janowski,et al.  Elastic Behavior of MgO Matrix Composites , 1967 .

[420]  D. Schuele,et al.  Pressure and temperature derivatives of the elastic constants of caF2 and BaF2 , 1968 .

[421]  Roy G. Gordon,et al.  Theoretical study of the structure, lattice dynamics, and equations of state of perovskite-type MgSiO3 and CaSiO3 , 1987 .

[422]  Charles G. Sammis,et al.  The Pressure Dependence of the Elastic Constants of Cubic Crystals in the NaCl and Spinel Structures from a Lattice Model , 1970 .

[423]  R. A. Bartels,et al.  BaO single crystal elastic constants and their temperature dependence , 1973 .

[424]  Raymond Jeanloz,et al.  Reduction of mantle and core properties to a standard state by adiabatic decompression , 1986 .

[425]  A. Miller,et al.  Elastic behaviour of YAG under pressure , 1980 .

[426]  S. Clark,et al.  Remarks on thermal expansion , 1969 .

[427]  Lin-gun Liu,et al.  On the (γ, ɛ, ℓ) Triple Point of Iron and the Earth's Core , 1975 .

[428]  Raymond Jeanloz,et al.  Finite‐strain equation of state for high‐pressure phases , 1981 .

[429]  Thomas J. Ahrens,et al.  The state of mantle minerals , 1972 .

[430]  K. M. Koliwad,et al.  Pressure Dependence of the Elastic Constants of NaCl at Low Temperatures , 1970 .

[431]  P. R. Son,et al.  CaO and SrO single crystal elastic constants and their pressure derivatives , 1972 .

[432]  Thomas J. Ahrens,et al.  Shock wave compression of iron-silicate garnet. , 1973 .

[433]  R. D. Scanlon,et al.  High pressure equation of state and sound velocities to fourth order elastic constants. Application to sodium chloride to 270 kbars , 1979 .

[434]  Takumi Kato,et al.  A New Technique to Measure the Viscosity and Density of Silicate Melts at High Pressure , 2013 .

[435]  R. E. Newnham,et al.  The elastic properties of beryl , 1973 .

[436]  Hiroo Kanamori,et al.  Equations of State of Matter from Shock Wave Experiments , 1966 .

[437]  L. Jones,et al.  Pressure and temperature dependence of the single crystal elastic moduli of the cubic perovskite KMgF3 , 1979 .

[438]  J. M. Brown,et al.  Homogeneity and temperatures in the lower mantle , 1985 .

[439]  O. L. Anderson,et al.  Anharmonicity of three minerals at high temperature: Forsterite, fayalite, and periclase , 1983 .

[440]  J. Watt,et al.  An experimental investigation of the Hashin-Shtrikman bounds on two-phase aggregate elastic properties , 1980 .

[441]  Dong M. Chay,et al.  Microstructure and Room‐Temperature Mechanical Properties of Hot‐Pressed Magnesium Aluminate as Described by Quadratic Multivariable Analysis , 1968 .

[442]  R. J. Sladek,et al.  Elastic Constants and the Electrical Transition in Ti 2 O 3 , 1973 .

[443]  Charles H. Whitfield,et al.  Elastic moduli of NaCl by Brillouin scattering at high pressure in a diamond anvil cell , 1976 .

[444]  Z. Chang,et al.  Pressure dependence of the elastic constants of RbCl, RbBr and RbI , 1971 .

[445]  P. M. Halleck,et al.  Redetermination of the relative compressions of the cell edges of olivine , 1974 .

[446]  Don L. Anderson,et al.  Chemical stratification of the mantle , 1979 .

[447]  I. Suzuki.  Thermal Expansion of Periclase and Olivine, and their Anharmonic Properties , 1975 .

[448]  H. H. Demarest.  Lattice model calculation of hugoniot curves and the grüneisen parameter at high pressure for the alkali halides , 1974 .

[449]  Takeo Matsumoto,et al.  Crystal structure and elastic constants of β‐Mg2SiO4 under high pressure simulated from a potential model , 1985 .

[450]  E. K. Graham,et al.  The pressure and temperature dependence of the elastic constants of pyrope garnet , 1977 .

[451]  Don L. Anderson,et al.  Brillouin scattering-a new geophysical tool , 1969 .

[452]  G. K. White,et al.  Thermal properties and Grüneisen functions of forsterite, Mg2SiO4 , 1985 .

[453]  R. K. Kirby,et al.  Use of Critically Evaluated Data on Copper to Test the Mie‐Grüneisen Equation of State , 1970 .

[454]  Yosiko Sato-Sorensen,et al.  Phase transitions and equations of state for the sodium halides: NaF NaCl, NaBr, and NaI , 1983 .

[455]  R. Hazen,et al.  High-pressure crystal chemistry of phenakite (Be2SiO4) and bertrandite (Be4Si2O7(OH)2) , 1986 .

[456]  Don L. Anderson,et al.  Velocity‐density relations , 1970 .

[457]  S. N. Vaidya,et al.  Compressibility of fifteen minerals to 45 kilobars , 1973 .

[458]  L. Knopoff,et al.  Approximate Compressibility of Elements and Compounds , 1965 .

[459]  Murli H. Manghnani,et al.  Crystal structure of magnetite under pressure , 1986 .

[460]  H. G. Drickamer,et al.  The effect of pressure on the volume and lattice parameters of ruthenium and iron , 1964 .

[461]  Don Berlincourt,et al.  Elastic and Piezoelectric Coefficients of Single-Crystal Barium Titanate , 1958 .

[462]  M. Guinan,et al.  Pressure derivatives of the elastic constants of α-iron to 10 kbs , 1967 .

[463]  D. Weidner,et al.  Elasticity of diopside , 1979 .

[464]  Larry W. Finger,et al.  A revised method of operation of the single-crystal diamond cell and refinement of the structure of NaCl at 32 kbar , 1978 .

[465]  W. Bassett,et al.  Hydrostatic compression of iron and related compounds; an overview , 1978 .

[466]  R. M. Hazen,et al.  Calcium fluoride as an internal pressure standard in high‐pressure crystallography , 1981 .

[467]  Thomas J. Ahrens,et al.  Shock wave equation of state of enstatite , 1986 .

[468]  T. Duffy,et al.  Elasticity of enstatite and its relationship to crystal structure , 1986 .

[469]  Bernard J. Wood,et al.  The eclogite to garnetite transition — Experimental and thermodynamic constraints , 1984 .

[470]  J. N. Fritz,et al.  Optical technique for determining rarefaction wave velocities at very high pressures , 1982 .

[471]  G. Will,et al.  The compressibility of FeO measured by energy dispersive X-ray diffraction in a diamond anvil squeezer up to 200 kbar , 1980 .

[472]  Eric L. Peterson,et al.  Polymorphism of Iron at High Pressure , 1956 .

[473]  Enzo Boschi,et al.  Equations of state for silicates in the metallic form , 1972 .

[474]  O. Anderson,et al.  Anharmonicity in the Equation of State at High Temperature for Some Geophysically Important Solids , 1982 .

[475]  O. Anderson,et al.  Seismic parameter φ: Computation at very high pressure from laboratory data , 1966 .

[476]  William Klement,et al.  Representation for compressional velocity data near the lambda transition in limestones and marbles , 1969 .

[477]  Hiroyasu Shimizu,et al.  Pressure Dependence of Elastic Moduli of Forsterite by Brillouin Scattering in the Diamond Cell , 1982 .

[478]  Gregory A. Lyzenga,et al.  Shock temperatures of SiO2 and their geophysical implications , 1983 .

[479]  L. Jones,et al.  High-temperature behaviour of the elastic moduli of LiF and NaF: Comparison with MgO and CaO , 1976 .

[480]  S. Alterovitz,et al.  Third-Order Elastic Moduli of Strontium Fluoride , 1970 .

[481]  G. R. Barsch,et al.  Pressure dependence of single crystal elastic constants and anharmonic properties of wurtzite , 1973 .

[482]  Isao Suzuki,et al.  ELASTICITY AND THERMAL EXPANSION OF A NATURAL GARNET UP TO 1, 000K , 1983 .

[483]  Murli H. Manghnani,et al.  ELASTICITY AND PHASE TRANSFORMATIONS IN RUTILE-STRUCTURED COMPOUNDS , 1980 .

[484]  D. Chung,et al.  First Pressure Derivatives of Polycrystalline Elastic Moduli: Their Relation to Single‐Crystal Acoustic Data and Thermodynamic Relations , 1967 .

[485]  B. Hennion,et al.  Lattice dynamics of wustite (FeO) , 1977 .

[486]  Z. Chang,et al.  Pressure dependence of the elastic constants of single-crystalline magnesium oxide , 1969 .

[487]  S. P. Marsh,et al.  Equation of State for Nineteen Metallic Elements from Shock‐Wave Measurements to Two Megabars , 1960 .

[488]  G. R. Barsch,et al.  Pressure Dependence of Elastic Constants and Crystal Stability of Alkali Halides: NaI and KI† , 1971 .

[489]  R. Ruppin,et al.  Volume Dependence of the Grüneisen Parameter of Alkali Halides , 1971 .

[490]  O. Anderson,et al.  Revised data on polycrystalline magnesium oxide , 1968 .

[491]  R. Grover.  Metallic High Pressure Equation-of-State Derived from Experimental Data , 1979 .

[492]  R. Liebermann,et al.  Elastic properties of polycrystalline SnO2 and GeO2: comparison with stishovite and rutile data , 1973 .

[493]  Naohiro Soga,et al.  New measurements on the sound velocity of calcium oxide and its relation to Birch's law , 1967 .

[494]  Osamu Nishizawa,et al.  Temperature variation of elastic constants of pyrope-almandine garnets. , 1978 .

[495]  P. M. Halleck,et al.  Compression and bonding of ice VII and an empirical linear expression for the isothermal compression of solids , 1975 .

[496]  Taro Takahashi,et al.  Effect of pressure on the lattice parameters of stishovite , 1974 .

[497]  Raymond Jeanloz,et al.  Anharmonic properties: Ionic model of the effects of compression and coordination change , 1982 .

[498]  O. Anderson,et al.  The thermal pressure of MgO at high compression and high temperature , 1981 .

[499]  Murli H. Manghnani,et al.  Phase transformations and elasticity in rutile-structured difluorides and dioxides , 1980 .

[500]  Don L. Anderson,et al.  Thermally Induced Phase Changes, Lateral Heterogeneity of the Mantle, Continental Roots, and Deep Slab Anomalies , 1987 .

[501]  H. J. Mcskimin,et al.  Analysis of the Pulse Superposition Method for Measuring Ultrasonic Wave Velocities as a Function of Temperature and Pressure , 1962 .

[502]  J. B. Walsh.  The effect of cracks in rocks on Poisson's ratio , 1965 .

[503]  Chi‐yuen Wang,et al.  Equation of State of Periclase and Birch's Relationship between Velocity and Density , 1968, Nature.

[504]  Guy Masters,et al.  Observational constraints on the chemical and thermal structure of the Earth's deep interior , 1979 .

[505]  Don L. Anderson,et al.  Chemical Composition and Evolution of the Mantle , 1982 .

[506]  Wolf,et al.  Vibrational properties of model monatomic crystals under pressure. , 1985, Physical review. B, Condensed matter.

[507]  Yosiko Sato‐Sorensen,et al.  Measurements of the Lifetime of the Ruby R 1 Line and its Application to High-Temperature and High-Pressure Calibration in the Diamond-Anvil Cell , 2013 .

[508]  Boyer,et al.  Potential-induced breathing model for the elastic moduli and high-pressure behavior of the cubic alkaline-earth oxides. , 1986, Physical review. B, Condensed matter.

[509]  R. A. Robie,et al.  Elastic Constants of Calcite , 1962 .

[510]  D. Weidner,et al.  Single-Crystal Elastic Properties of the Modified Spinel (Beta) Phase of Magnesium Orthosilicate , 1984, Science.

[511]  Y. H. Kim,et al.  Crystal Structure of MgF2 and FeF2 Under High Pressure , 2013 .

[512]  E. Schreiber,et al.  Elastic Moduli of Single‐Crystal Spinel at 25°C and to 2 kbar , 1967 .

[513]  Lin-Gun Liu,et al.  On the 650-km seismic discontinuity , 1979 .

[514]  Hajimu Kinoshita,et al.  ELASTIC PROPERTIES OF SINGLE-CRYSTAL NaCl UNDER HIGH PRESSURES TO 80kbar , 1979 .

[515]  C. J. Maiden,et al.  Measurement of the Very‐High‐Pressure Properties of Materials using a Light‐Gas Gun , 1966 .

[516]  J. M. Ide,et al.  The Elastic Properties of Rocks: A Correlation of Theory and Experiment. , 1936, Proceedings of the National Academy of Sciences of the United States of America.

[517]  Michael D. Furnish,et al.  Shock loading of single‐crystal olivine in the 100–200 GPa range , 1986 .

[518]  James J. Simpson,et al.  A simple model of the 1982‐83 Californian "El Nino" , 1984 .

[519]  Don L. Anderson,et al.  Revised shock‐wave equations of state for high‐pressure phases of rocks and minerals , 1971 .

[520]  R. K. Cook.  Variation of Elastic Constants and Static Strains with Hydrostatic Pressure: A Method for Calculation from Ultrasonic Measurements , 1957 .

[521]  G. R. Barsch,et al.  Pressure Derivatives of Second-Order Elastic Constants of MgO , 1968 .

[522]  H. L. Alberts.  Elastic constants of single crystal terbium iron garnet , 1980 .

[523]  Thomas J. Ahrens,et al.  A shock-induced phase change in orthoclase , 1973 .

[524]  R W Munn,et al.  Finite strain and finite rotation of solids , 1978 .

[525]  Adam Yu Wu,et al.  Elastic properties of single-crystal Ni F 2 , 1976 .

[526]  J. Watt,et al.  Mixed-oxide and perovskite-structure model mantles from 700-1200 km , 1978 .

[527]  H. Spetzler,et al.  Equation-of-state parameters for liquid metals and energetics of the earth's core , 1976 .

[528]  S. P. Marsh,et al.  Hugoniot equation of state of twelve rocks , 1967 .

[529]  W. L. Bond,et al.  Elastic Moduli of Diamond , 1957 .

[530]  Reinhard Boehler,et al.  Pressure dependence of the thermodynamical Grüneisen parameter of fluids , 1977 .

[531]  J. Tallon,et al.  The thermodynamics of elastic deformation—I: Equation of state for solids , 1980 .

[532]  A. C. Lees,et al.  Reflection properties of phase transition and compositional change models of the 670‐km discontinuity , 1983 .

[533]  J. Weaver,et al.  Application of finite strain theory to non-cubic crystals , 1976 .

[534]  J. B. Walsh.  The effect of cracks on the compressibility of rock , 1965 .

[535]  Frank D. Stacey,et al.  A thermal model of the earth , 1977 .

[536]  R. Liebermann,et al.  Critical thermal gradients in the mantle , 1969 .

[537]  Earl K. Graham,et al.  The pressure and temperature dependence of the elastic properties of polycrystal magnesiowustite , 1982 .

[538]  Jerome B. Cohen,et al.  Measurement of the Lattice Parameter of Wustite at High Temperatures , 1972 .

[539]  Reinhard Boehler,et al.  Equation of state of sodium chloride up to 32 kbar and 500°C†☆ , 1979 .

[540]  Harry G. Drickamer,et al.  Effect of High Pressure on the Lattice Parameters of Cr2O3 and α‐Fe2O3 , 1966 .

[541]  C. Prewitt,et al.  High-pressure structural study of diopside , 1981 .

[542]  Mineo Kumazawa,et al.  Elastic properties of garnet solid-solution series , 1978 .

[543]  N. Christensen,et al.  The seismic velocity structure of a traverse through the Bay of Islands Ophiolite Complex, Newfoundland, An exposure of oceanic crust and upper mantle , 1978 .

[544]  William A. Bassett,et al.  Laser heating in the diamond anvil press up to 2000°C sustained and 3000°C pulsed at pressures up to 260 kilobars , 1974 .

[545]  Robert M. Hazen,et al.  Temperature, pressure and composition: Structurally analogous variables , 1977 .

[546]  Stephen J. Finch,et al.  Elastic properties from acoustic and volume compression experiments , 1981 .

[547]  D. Chung,et al.  Relation of Single‐Crystal Elastic Constants to Polycrystalline Isotropic Elastic Moduli of MgO , 1963 .

[548]  R C DeVries,et al.  Absolute pressure measurements and analysis of diamonds subjected to maximum static pressures of 1.3-1.7 Mbar. , 1979, The Review of scientific instruments.

[549]  N. Mao,et al.  Some remarks on the redundancy checks for cubic crystals , 1974 .

[550]  Yasuhiro Kudoh,et al.  The effect of pressure on helvite Mn8S2[Be6Si6O24] , 1985 .

[551]  P. Lysne,et al.  A comparison of calculated and measured low-stress Hugoniots and release adiabats of dry and water-saturated tuff , 1970 .

[552]  Syun–Iti Akimoto,et al.  The system MgO-FeO-SiO2 at high pressures and temperatures — phase equilibria and elastic properties , 1972 .

[553]  Raymond Jeanloz,et al.  Experiments at high temperature and pressure - Laser heating through the diamond cell , 1984 .

[554]  Robert M. Hazen,et al.  The crystal structures and compressibilities of layer minerals at high pressure; II, Phlogopite and chlorite , 1978 .

[555]  Roy G. Gordon,et al.  Modified electron-gas study of the stability, elastic properties, and high-pressure behavior of MgO and CaO crystals , 1976 .

[556]  M. S. T. Bukowinski,et al.  Ab initio structural and thermoelastic properties of orthorhombic MgSiO3 perovskite , 1985 .

[557]  Cohen,et al.  Calculation of bulk moduli of diamond and zinc-blende solids. , 1985, Physical review. B, Condensed matter.

[558]  Mineo Kumazawa,et al.  The elastic constants of single-crystal orthopyroxene , 1969 .

[559]  Kee-Joo Chang,et al.  HIGH-PRESSURE BEHAVIOR OF MGO - STRUCTURAL AND ELECTRONIC-PROPERTIES , 1984 .

[560]  S. Spiliopoulos,et al.  The earth's thermal profile: Is there a mid-mantle thermal boundary layer? , 1984 .

[561]  Raymond Jeanloz,et al.  Optical length determinations in the diamond‐anvil cell , 1984 .

[562]  K. Brugger,et al.  Grüneisen Gamma from Elastic Data , 1967 .

[563]  Don L. Anderson,et al.  The Earth as a Planet: Paradigms and Paradoxes , 1984, Science.

[564]  Boyer,et al.  Lattice dynamics of the potential-induced breathing model: Phonon dispersion in the alkaline-earth oxides. , 1987, Physical review. B, Condensed matter.

[565]  Takeo Matsumoto,et al.  Computational model of the structural and elastic properties of the ilmenite and perovskite phases of MgSiO3 , 1987 .

[566]  C. N. Reid,et al.  High-temperature elastic constants and the phase stability of silicon-iron , 1971 .

[567]  Isao Suzuki,et al.  Thermal expansion of single-crystal manganosite , 1979 .

[568]  R. N. Thurston.  Ultrasonic data and the thermodynamics of solids , 1965 .

[569]  Liu Lin-Gun,et al.  Birch's diagram: Some new observations , 1974 .

[570]  K. E. Bullen,et al.  Empirical Equations of State for the Earth's Lower Mantle and Core , 1968 .

[571]  E. R. Naimon.  Elastic constants of the perovskite RbMnF3using a Born model , 1974 .

[572]  Hajimu Kinoshita,et al.  SHEAR WAVE VELOCITY JUMP AT THE OLIVINESPINEL TRANSFORMATION IN Fe2SiO4 BY ULTRASONIC MEASUREMENTS IN SITU , 1982 .

[573]  Lin-Gun Liu,et al.  Calculations of high-pressure phase transitions in the system MgOSiO2 and implications for mantle discontinuities , 1979 .

[574]  Daniel L. Decker,et al.  High‐Pressure Equation of State for NaCl, KCl, and CsCl , 1971 .

[575]  T. Shankland,et al.  Elastic properties, chemical composition, and crystal structure of minerals , 1977 .

[576]  Hitoshi Mizutani,et al.  Elastic‐wave velocities of polycrystalline stishovite , 1972 .

[577]  Shigeru Yamamoto,et al.  Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method , 1986 .

[578]  Mineo Kumazawa,et al.  Thermal expansion of .GAMMA.-Mg2SiO4. , 1979 .

[579]  Thomas J. Ahrens,et al.  Shock-induced transition of quartz to stishovite , 1973 .

[580]  T. Yagi,et al.  Rapid X-Ray Measurements to 100 GPa Range and Static Compression of α-Fe2O3 , 1982 .

[581]  David A. Young,et al.  THEORY OF THE IRON EQUATION OF STATE AND MELTING CURVE TO VERY HIGH PRESSURES**Work performed under the auspices of the U. S. Department of Energy by Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48. , 1983 .

[582]  J. de Klerk,et al.  Thermal and elastic properties of silicate oxyapatite crystals , 1973 .

[583]  Yagi S. Akimoto,et al.  PRESSURE CALIBRATION ABOVE 100 KBAR BASED ON THE NaCl INTERNAL STANDARD , 1977 .

[584]  Bernard Budiansky,et al.  Viscoelastic properties of fluid-saturated cracked solids , 1977 .

[585]  D. Young,et al.  Melting and adiabats of the alkali metals at high compressions , 1984 .

[586]  Y. Sato,et al.  EQUATION OF STATE OF MANTLE MINERALS DETERMINED THROUGH HIGH-PRESSURE X-RAY STUDY , 1977 .

[587]  Raymond Jeanloz,et al.  Thermal expansion of silicate perovskite and stratification of the Earth's mantle , 1986, Nature.

[588]  K. E. Bullen,et al.  Compressibility‐Pressure Gradient and the Constitution of the Earth's Outer Core , 1969 .

[589]  Bin Okai,et al.  Pressure Dependence of Cubic-Tetragonal Transition Temperature of KMnF 3 , 1973 .

[590]  A. L. Frisillo,et al.  Linear thermal expansion coefficients of orthopyroxene to 1000°C , 1972 .

[591]  H. Spetzler,et al.  Equation of State of Polycrystalline and Single‐Crystal MgO to 8 Kilobars and 800°K , 1970 .

[592]  D. Schuele,et al.  The pressure derivatives of the elastic constants of CaF2 , 1967 .

[593]  Raghavan Srinivasan,et al.  Generalised Gruneisen parameters of elastic waves in calcite and its thermal expansion , 1972 .

[594]  O. Anderson,et al.  An experimental high-temperature thermal equation of state bypassing the Grüneisen parameter , 1980 .

[595]  O. Anderson,et al.  The high-temperature acoustic Grüneisen parameter in the earth's interior☆ , 1979 .

[596]  J. B. Walsh,et al.  First Pressure Derivative of Bulk Modulus for Porous Materials , 1971 .

[597]  D. Oliver,et al.  The Elastic Moduli of MnO , 1969 .

[598]  Hiroshi Takeda,et al.  In situ determination of crystal structure for high pressure phase of ZrO2 using a diamond anvil and single crystal X-ray diffraction method , 1986 .

[599]  A. E. Ringwood,et al.  A model for the upper mantle , 1962 .

[600]  Daniel L. Decker,et al.  Equation of State of NaCl and Its Use as a Pressure Gauge in High-Pressure Research , 1965 .

[601]  Leon Thomsen,et al.  On the fourth-order anharmonic equation of state of solids , 1970 .

[602]  Reinhard Boehler,et al.  GRÜNEISEN PARAMETER OF NaCl AT HIGH COMPRESSIONS , 1977 .

[603]  Ho-kwang Mao,et al.  Structure and crystal chemistry of perovskite-type MgSiO3 , 1978 .

[604]  D. Andrews,et al.  Equation of state of the alpha and epsilon phases of iron , 1973 .

[605]  William A. Bassett,et al.  Miniature diamond anvil pressure cell for single crystal x‐ray diffraction studies , 1974 .

[606]  D. Chung,et al.  Elasticity and Equations of State of Olivines in the Mg2SiO4-Fe2SiO4 System , 1971 .

[607]  S. C. Goyal,et al.  Analysis of the pressure derivatives of the second order elastic constants in alkaline earth oxides , 1976 .

[608]  Ian Jackson,et al.  On the absence of shear mode softening in single-crystal fayalite Fe2SiO4 at high pressure and room temperature , 1984 .

[609]  V. V. Palciauskas,et al.  Volume dependence of the vibrational free energy , 1975 .

[610]  Reinhard Boehler,et al.  Measurement of the adiabats of quartz, forsterite, and magnesium oxide at high pressures and high temperatures and adiabatic gradient in the mantle , 1982 .

[611]  Don L. Anderson,et al.  The Effect of Temperature and Partial Melting on Velocity and Attenuation in a Simple Binary System , 1968 .

[612]  A. E. Ringwood,et al.  Birch's law and polymorphic phase transformations , 1973 .

[613]  Daniel L. Decker,et al.  Proposed Thermodynamic Pressure Scale for an Absolute High‐Pressure Calibration , 1970 .

[614]  Paul Mattaboni,et al.  Method of pulse transmission measurements for determining sound velocities , 1967 .

[615]  Harold H. Demarest,et al.  Extrapolation of elastic properties to high pressure in the alkali halides , 1972 .

[616]  F. Gilbert,et al.  An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra , 1975, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[617]  日本学術振興会,et al.  High-Pressure Research in Geophysics , 1982 .

[618]  J. M. Brown,et al.  Melting of iron under core conditions , 1980 .

[619]  Thomas J. Ahrens,et al.  Shock compression of KFeS2 and the question of potassium in the core , 1980 .

[620]  Lin-gun Liu,et al.  High-pressure phases of Co2GeO4, Ni2GeO4, Mn2GeO4 and MnGeO3: implications for the germanate-silicate modeling scheme and the Earth's mantle , 1976 .

[621]  Gordon E. Schacher,et al.  Determination of Elastic Constants from Sound‐Velocity Measurements in Crystals of General Symmetry , 1967 .

[622]  Naohiro Soga,et al.  Estimation of bulk modulus and sound velocities of oxides at very high temperatures , 1966 .

[623]  D. Anderson,et al.  Composition and evolution of the mantle and core. , 1971, Science.

[624]  Thomas J. Ahrens,et al.  Identification of Ice VI on the Hugoniot of Ice Ih , 1980 .

[625]  Toshihiro Suzuki,et al.  Static compression of wüstite (Fe0.98O) to 120 GPa , 1985 .

[626]  Ronald E. Cohen,et al.  Elasticity and equation of state of MgSiO3 perovskite , 1987 .

[627]  F. Birch,et al.  Finite strain isotherm and velocities for single‐crystal and polycrystalline NaCl at high pressures and 300°K , 1978 .

[628]  D. I. Bolef,et al.  Ultrasonic Propagation in RbMnF3. I. Elastic Properties , 1969 .

[629]  G. Simmons,et al.  Elasticity of some mantle crystals structures. III - Spessartite-almandine garnet , 1974 .

[630]  B. A. Stein,et al.  Temperature Dependence of Shock‐Induced Phase Transformations in Iron , 1962 .

[631]  Randall D. Peters,et al.  Ultrasonic Third‐Harmonic Generation in Strontium Titanate Single Crystals , 1971 .

[632]  J. C. Jamieson,et al.  Shock-Wave Compression and X-Ray Studies of Titanium Dioxide , 1967, Science.

[633]  Chi‐yuen Wang,et al.  Pressure coefficient of compressional wave velocity for a bronzitite , 1974 .

[634]  Don L. Anderson,et al.  Bulk modulus‐density systematics , 1969 .

[635]  D. Weidner,et al.  1. Elastic Properties of Rocks and Minerals , 1987 .

[636]  R. E. Newnham,et al.  Elastic properties of fluorapatite , 1969 .

[637]  Gerhard Mader,et al.  Temperature and stress dependence of Young’s modulus in semiconducting barium titanate ceramics , 1985 .

[638]  R.F.S. Hearmon,et al.  The elastic constants of anisotropic materials—II , 1956 .

[639]  Hiroki Sato,et al.  Ultrasonic measurements of Vp and Qp: relaxation spectrum of complex modulus on basalt melts , 1985 .

[640]  Marvin Waldman,et al.  Scaled electron gas approximation for intermolecular forces , 1979 .

[641]  B. Dorner,et al.  Phonon dispersion in AgBr and exchange of the transverse mode Eigenvectors at L , 1975 .

[642]  D. E. Grady,et al.  Hugoniot sound velocities and phase transformations in two silicates , 1975 .

[643]  Thomas J. Ahrens,et al.  Shock‐induced radiation spectra of fused quartz , 1983 .

[644]  D. J. Mayson,et al.  Elastic properties of polycrystalline diopside (CaMgSi2O6) , 1976 .

[645]  Naohiro Soga,et al.  High‐Temperature Elasticity and Expansivity of Forsterite and Steatite , 1967 .

[646]  R. Ruppin,et al.  Grüneisen parameters and thermal expansion of CaO and SrO , 1972 .

[647]  Reinhard Boehler,et al.  Experimental results on the pressure dependence of the Grüneisen parameter: A review , 1980 .

[648]  Taro Takahashi,et al.  Compression of ferromagnesian garnets and the effect of solid solutions on the bulk modulus , 1970 .

[649]  G. Davies,et al.  Limits on the Constitution of the Lower Mantle , 1974 .

[650]  O. Anderson,et al.  The determination of the volume dependence of the Grüneisen Parameter γ , 1974 .

[651]  S. K. Joshi,et al.  Debye Θ and compressibility. III. Cubic metals , 1961 .

[652]  L. Knopoff,et al.  PHYSICS AND CHEMISTRY OF IRON AND POTASSIUM AT LOWER-MANTLE AND CORE PRESSURES , 1977 .

[653]  S. P. Marsh,et al.  On the equation of state of stishovite , 1963 .

[654]  H. J. Mcskimin,et al.  Elastic Moduli of Diamond as a Function of Pressure and Temperature , 1972 .

[655]  Raymond Jeanloz,et al.  Lattice dynamics and structural distortions of CaSiO3 and MgSiO3 perovskites , 1985 .

[656]  O. Anderson,et al.  The bulk modulus-volume relationship for oxide compounds and related geophysical problems , 1965 .

[657]  R. Mcqueen,et al.  Compression of Solids by Strong Shock Waves , 1958 .

[658]  A. E. Ringwood,et al.  An experimental investigation of the Gabbro-Eclogite transformation and some geophysical implications , 1966 .

[659]  P. M. Halleck,et al.  The Compression of a Quartz , 1976 .

[660]  Don L. Anderson,et al.  Petrology of the mantle , 1970 .

[661]  Larry W. Finger,et al.  Crystal structures and electron densities of nickel and iron silicate spinels at elevated temperature or pressure , 1979 .

[662]  Raymond Jeanloz,et al.  Pyrite: Shock compression, isentropic release, and composition of the Earth's core , 1987 .

[663]  L. Peselnick,et al.  The differential path phase comparison method for determining pressure derivatives of elastic constants of solids , 1982 .

[664]  Susan Werner Kieffer,et al.  Thermodynamics and lattice vibrations of minerals: 5. Applications to phase equilibria, isotopic fractionation, and high‐pressure thermodynamic properties , 1982 .

[665]  Naohiro Soga,et al.  Some elastic constant data on minerals relevant to geophysics , 1968 .

[666]  E. L. Meeks,et al.  Temperature Dependence of the Third-Order Elastic Constants of SrTiO 3 , 1970 .

[667]  V. K. Mathur,et al.  Anderson-Grüneisen parameter δ of NaCl-type alkali halides for Born-Mayer potential , 1968 .

[668]  Roy G. Gordon,et al.  Electron-gas theory of ionic crystals, including many-body effects , 1981 .

[669]  O. Anderson,et al.  Temperature dependence of the velocity derivatives of periclase , 1966 .

[670]  G. R. Barsch,et al.  Elastic constants of single‐crystal forsterite as a function of temperature and pressure , 1969 .

[671]  Jay D. Bass,et al.  Elasticity of uvarovite and andradite garnets , 1986 .

[672]  O. Anderson,et al.  Pressure derivatives of the sound velocities of polycrystalline forsterite, with 6% porosity , 1967 .

[673]  Y. Kudoh.  Single crystal X-ray diffraction study on the bond compressibility of fayalite, Fe_2SiO_4 and rutile, TiO_2 under high-pressure , 1986 .

[674]  Gene Simmons,et al.  Elastic properties of alpha quartz and the alkali halides based on an interatomic force model , 1972 .

[675]  Raymond Jeanloz,et al.  Phase transition in SrO , 1981 .

[676]  M. F. Lewis,et al.  Microwave Phonon Attenuation in Yttrium Iron Garnet , 1968 .

[677]  G. A. Lager,et al.  High-temperature structural study of six olivines , 1978 .

[678]  A. E. Ringwood,et al.  SOME COMMENTS ON THE ELASTICITY OF STISHOVITE AS DETERMINED BY ULTRASONIC AND HIGH PRESSURE X-RAY DIFFRACTION TECHNIQUES , 1977 .

[679]  Raymond Jeanloz,et al.  Pyroxenes and olivines: Structural implications of shock-wave data for high pressure phases , 1977 .

[680]  K. E. Bullen,et al.  On Compressibility and Chemical Inhomogeneity in the Earth's Core , 1965 .

[681]  Robert M. Hazen,et al.  Bulk moduli and high-pressure crystal structures of rutile-type compounds , 1981 .

[682]  H. D. Merchant,et al.  Equations of state and thermal expansion of alkali halides , 1973 .

[683]  Lin-Gun Liu,et al.  Mineralogy and chemistry of the Earth's mantle above 1000 km , 1977 .

[684]  R. Ramji Rao,et al.  Anderson-Grüneisen parameter δ of some hexagonal metals and MgO from third-order elastic-constant data , 1974 .

[685]  A. Ruoff,et al.  Pressure and temperature dependence of the elastic constants of LiBr and LiCI , 1973 .

[686]  K. E. Bullen,et al.  Models for the Density and Elasticity of the Earth's Lower Core , 1965 .

[687]  Thomas J. Ahrens,et al.  Equations of state of the Earth , 1975 .

[688]  D. Gerlich,et al.  Elastic Grüneisen parameters for potassium metal , 1975 .

[689]  Thomas J. Ahrens,et al.  Calculated mineral reactions in the Earth's mantle , 1967 .

[690]  G. Kennedy,et al.  Simple Compressibility Relation for Solids , 1973 .

[691]  Taro Takahashi,et al.  Isothermal compression of grossular garnets to 250 Kbar and the effect of calcium on the bulk modulus , 1976 .

[692]  T. S. Lebedev,et al.  Model studies of physical properties of mineral matter in high-pressure-temperature experiments , 1980 .

[693]  R. Liebermann,et al.  Elastic properties of minerals determined from ultrasonic or compression data , 1972 .

[694]  Murli H. Manghnani,et al.  Very High Temperature Diamond‐Anvil Cell for X‐Ray Diffraction: Application to the Comparison of the Gold and Tungsten High‐Temperature‐High‐Pressure Internal Standards , 2013 .

[695]  D. Chung,et al.  The elastic constants of a cubic crystal subjected to moderately high hydrostatic pressure , 1967 .

[696]  D. John Pastine,et al.  On the accuracy of the Wachtman-Anderson Relation , 1970 .

[697]  E. H. Bogardus.  Third‐Order Elastic Constants of Ge, MgO, and Fused SiO2 , 1965 .

[698]  Raymond Jeanloz,et al.  Equations of state of FeO and CaO , 1980 .

[699]  R. L. Mills,et al.  Procedure for loading diamond cells with high‐pressure gas , 1980 .

[700]  Gene Simmons,et al.  On the calculation of the seismic parameter ϕ at high pressure and high temperatures , 1970 .

[701]  T. Kikegawaa,et al.  X‐Ray Diamond Anvil Press for Structural Studies at High Pressures and High Temperatures , 2013 .

[702]  Dattatraya P. Dandekar,et al.  Pressure Dependence of the Elastic Constants of Calcite , 1968 .

[703]  S. P. Marsh,et al.  On the composition of the Earth's interior , 1964 .

[704]  R. Gordon,et al.  Theory for the Forces between Closed‐Shell Atoms and Molecules , 1972 .

[705]  A. E. Ringwood,et al.  Phase Transformations and Differentiation in Subducted Lithosphere: Implications for Mantle Dynamics, Basalt Petrogenesis, and Crustal Evolution , 1982, The Journal of Geology.

[706]  D. Stevenson.  Applications of liquid state physics to the earth's core , 1980 .

[707]  S. Sengupta,et al.  Self‐consistent T‐matrix solution for the effective elastic properties of perfectly disordered multiphase solids , 1985 .

[708]  A. Duba,et al.  Compression of garnet to 100 kilobars , 1972 .

[709]  A. K. Singh,et al.  Compression of calcite to 40 KB , 1974 .

[710]  D. N. Nichols,et al.  Effect of hydrostatic pressure on the elastic constants ofV2O3 , 1981 .

[711]  Ronald E. Cohen,et al.  Theoretical studies of charge relaxation effects on the statics and dynamics of oxides , 1987 .

[712]  Taro Takahashi,et al.  Isothermal compressions of a spinel phase of Co2SiO4 and magnesian ilmenite , 1974 .

[713]  O. Anderson,et al.  The thermodynamic properties of the earth's lower mantle , 1980 .

[714]  Robert M. Hazen,et al.  Effects of Temperature and Pressure on Interatomic Distances in Oxygen‐Based Minerals , 1977 .

[715]  Robert M. Hazen,et al.  High‐temperature diamond‐anvil pressure cell for single‐crystal studies , 1981 .

[716]  Heinz Schulz,et al.  Structure determination of α-quartz up to 68 x 108 Pa , 1979 .

[717]  Don L. Anderson.  Correction to “Thermally induced phase changes, lateral heterogeneity of the mantle, continental roots, and deep slab anomalies” by Don L. Anderson , 1988 .

[718]  M. S. T. Bukowinski,et al.  Theoretical Study of the Structural Properties and Equations of State of MgSiO3 and CaSiO3 Perovskites: Implications for Lower Mantle Composition , 2013 .

[719]  G. Davies,et al.  Elasticity, crystal structure and phase transitions , 1974 .

[720]  A. E. Ringwood,et al.  Elasticity of polycrystalline stishovite , 1976 .

[721]  Yosiko Sato,et al.  Hydrostatic compression of the synthetic garnets pyrope and almandine , 1978 .

[722]  O. Anderson,et al.  Are anharmonicity corrections needed for temperature-profile calculations of interiors of terrestrial planets? , 1982 .

[723]  K. Bullen,et al.  Incompressibility at the earth's mantle-core boundary. , 1968, Proceedings of the National Academy of Sciences of the United States of America.

[724]  L. L. Boyer,et al.  Parameter-free equation-of-state calculations for CsCaF3 , 1984 .

[725]  J. Tallon,et al.  The thermodynamics of elastic deformation—I , 1980 .

[726]  Stanley Block,et al.  An Optical Fluorescence System for Quantitative Pressure Measurement in the Diamond‐Anvil Cell , 1973 .

[727]  Yosiko Sato‐Sorensen,et al.  Measurements of the lifetime of the ruby R1 line under high pressure , 1986 .

[728]  Don L. Anderson,et al.  Brief report: The bulk modulus‐volume relationship for oxides , 1970 .

[729]  E. K. Graham,et al.  Elastic properties of oxides in the NaCl-structure , 1977 .

[730]  Robert M. Hazen,et al.  High-pressure crystal chemistry of beryl (Be 3 Al 2 Si 6 O 18 ) and euclase (BeAlSiO 4 OH) , 1986 .

[731]  John O. Hallquist,et al.  Finite element analysis of the diamond anvil cell: Achieving 4.6 Mbar , 1986 .

[732]  Raymond Jeanloz,et al.  The equation of state of the gold calibration standard , 1984 .

[733]  D. P. Dandekar,et al.  An iterative scheme to estimate the values of elastic constants of a solid at high pressures from the sound wave velocity measurements , 1970 .

[734]  Reinhard Boehler,et al.  Melting temperature, adiabats, and Grüneisen parameter of lithium, sodium and potassium versus pressure , 1983 .

[735]  Raymond Jeanloz,et al.  Static compression of MnO manganosite to 60 GPa , 1987 .

[736]  J. P. Romain,et al.  Relation between the Grüneisen ratio and the pressure dependence of Poisson's ratio for metals , 1976 .

[737]  E. Boschi.  The melting relations of iron and temperatures in the earth’s core , 1975 .

[738]  Naohiro Soga,et al.  Elastic properties of CaO under pressure and temperature. , 1968 .

[739]  Taro Takahashi,et al.  A proposed equation of state of stishovite , 1970 .

[740]  Charles S. Smith,et al.  Ultrasonic parameters in the born model of the lithium halides , 1970 .

[741]  Taro Takahashi,et al.  Effect of pressure and temperature on the molar volumes of Wüstite and of three (Fe, Mg)2SiO4 spinel solid solutions , 1969 .

[742]  Murli H. Manghnani,et al.  STATIC P-T-V MEASUREMENTS ON MgO: COMPARISON WITH SHOCK WAVE DATA , 1984 .

[743]  N. Christensen,et al.  Compressional wave velocities in single crystals of alkali feldspar at pressures to 10 kilobars , 1966 .

[744]  R. Hardy,et al.  The Grüneisen parameter γ of KBr, RbCl and Bi through high pressure phase transitions , 1978 .

[745]  Gene Simmons,et al.  Elasticity of some mantle crystal structures: 1. Pleonaste and hercynite spinel , 1972 .

[746]  A. E. Ringwood,et al.  Mineralogical constitution of the deep mantle , 1962 .

[747]  Ho-kwang Mao,et al.  Pressure distribution in the diamond anvil press and the shear strenght of fayalite , 1977 .

[748]  T. Shankland,et al.  Velocity‐density systematics: Derivation from Debye theory and the effect of ionic size , 1972 .

[749]  L. M. Barker,et al.  Shock wave study of the α ⇄ ε phase transition in iron , 1974 .

[750]  A. Duba,et al.  Compression of olivine to 100 kilobars , 1971 .

[751]  Raymond Jeanloz,et al.  Bulk attenuation in a polycrystalline Earth , 1982 .

[752]  O. Anderson,et al.  Derivation of Wachtman's Equation for the Temperature Dependence of the Elastic Moduli of Oxide Compounds , 1966 .

[753]  J. B. Walsh.  The effect of cracks on the uniaxial elastic compression of rocks , 1965 .

[754]  Don L. Anderson,et al.  Composition of the upper mantle: Geophysical tests of two petrological models , 1984 .

[755]  R. Liebermann,et al.  Elastic constants of polycrystalline hematite as a function of pressure to 3 kilobars , 1968 .

[756]  H. Warlimont,et al.  Single crystalline elastic constants of ferromagnetic face centered cubic Fe-Ni invar alloys☆ , 1973 .

[757]  R.Ramji Rao,et al.  Anderson-Grüneisen parameter δ from third order elastic constants data for some cubic compounds , 1974 .

[758]  A D Bruce,et al.  Elastic critical behaviour in SrTiO3 , 1980 .

[759]  O. Anderson,et al.  Some remarks on the volume dependence of the Grüneisen parameter , 1968 .

[760]  Adam M. Dziewonski,et al.  Homogeneity and Constitution of the Earth's Lower Mantle and Outer Core , 1975 .

[761]  Tsuneaki Goto,et al.  Behavior of Single-Crystal Forsterite under Dynamic Compression , 1982 .

[762]  Uwe Walzer,et al.  A new high-pressure equation of state for metals , 1984 .

[763]  R. Hardy,et al.  Temperature and pressure dependence of intrinsic anharmonic and quantum corrections to the equation of state , 1980 .

[764]  D. Weidner,et al.  Structure and elastic properties of quartz at pressure , 1980 .

[765]  Thomas J. Ahrens,et al.  Shock compression of molten silicate: Results for a model basaltic composition , 1988 .

[766]  Yoshio Sumino,et al.  Temperature coefficients of elastic constants of single crystal MgO between 80 and 1,300 K , 2013 .

[767]  Hiroshi Takeda,et al.  Effect of pressure on the crystal structure of perovskite-type MgSiO3 , 1987 .

[768]  Susan Werner Kieffer,et al.  Thermodynamics and lattice vibrations of minerals: 3. Lattice dynamics and an approximation for minerals with application to simple substances and framework silicates , 1979 .

[769]  Y. A. Chang,et al.  On the temperature dependence of the bulk modulus and the Anderson-Grüneisen parameter δ of oxide compounds , 1966 .

[770]  N. Mao,et al.  Empirical equation of state for high compression , 1970 .

[771]  D. Chung,et al.  Effects of iron/magnesium ratio on P- and S-wave velocities in olivine , 1970 .

[772]  E. Kröner,et al.  Elastic moduli of perfectly disordered composite materials , 1967 .

[773]  D. L. Decker.  The effect of the Gruneisen parameter on the Decker equation of state of NaCl , 1979 .

[774]  F. Birch,et al.  Equation of state and thermodynamic parameters of NaCl to 300 kbar in the high‐temperature domain , 1986 .

[775]  Y. P. Varshni.  Temperature Dependence of the Elastic Constants , 1970 .

[776]  R. A. Bartels,et al.  The temperature dependence of the elastic constants of CaO and SrO , 1972 .

[777]  Chien‐Min Sung,et al.  New modification of the diamond anvil press: A versatile apparatus for research at high pressure and high temperature , 1976 .

[778]  M. S. T. Bukowinski,et al.  Equation of state and stability of fluorite‐structured SiO2 , 1986 .

[779]  Thomas J. Ahrens,et al.  Shock wave compression of single-crystal forsterite , 1979 .

[780]  H. Spetzler,et al.  Effect of stress‐induced anisotropy and porosity on elastic properties of polycrystals , 1972 .

[781]  Fernando E. Prieto,et al.  The equation of state of solids , 1975 .

[782]  Don L. Anderson,et al.  Chemical inhomogeneity of the mantle , 1968 .

[783]  Francesco Mulargia,et al.  Reply [to “Comment on ‘On the theoretical evaluation of the Grüneisen function in the harmonic approximation’ by Francesco Mulargia”] , 1980 .

[784]  R. Liebermann,et al.  Elasticity of the ilmenite - perovskite phase transformation in CdTiO3 , 1976 .

[785]  Reinhard Boehler,et al.  Behavior of Grüneisen's parameter of some metals at high pressures , 1978 .

[786]  Ho-kwang Mao,et al.  Equations of state of MgO and ε Fe under static pressure conditions , 1979 .

[787]  Gene Simmons,et al.  Elastic properties of polycrystalline periclase , 1969 .

[788]  Robert M. Hazen,et al.  Effects of temperature and pressure on the cell dimension and X-ray temperature factors of periclase , 1976 .

[789]  Reinhard Boehler,et al.  Adiabats of quartz, coesite, olivine, and magnesium oxide to 50 kbar and 1000 K, and the adiabatic gradient in the Earth's mantle , 1982 .

[790]  M. Catti,et al.  Electrostatic lattice energy in ionic crystals: optimization of the convergence of Ewald series , 1978 .

[791]  A. E. Ringwood,et al.  Elasticity of aluminate, titanate, stannate and germanate compounds with the perovskite structure , 1977 .

[792]  H. Kaga,et al.  Third-Order Elastic Constants of Calcite , 1968 .

[793]  Peter M. Bell,et al.  Static compression of iron to 78 GPa with rare gas solids as pressure-transmitting media , 1986 .

[794]  P. M. Bell,et al.  Melting relations in the Fe-rich portion of the system FezFeS at 30 kb pressure , 1969 .

[795]  Thomas J. Ahrens,et al.  Hugoniot equation of state of anorthite glass and lunar anorthosite , 1986 .

[796]  Raymond Jeanloz,et al.  Hydrostatic compression of Fe1‐x O Wüstite , 1986 .

[797]  J. Aidun,et al.  Equation of state and metallization of CsI , 1984 .

[798]  M. E. Striefler,et al.  Optical Mode Gammas, Pressure Derivatives of Elastic and Dielectric Constants, and Stability of Rutile-Structure Fluorides in the Rigid Ion Approximation , 1974, August 1.

[799]  B. Achar,et al.  Thermal Expansion of Rocksalt , 1971 .

[800]  Gene Simmons,et al.  Elasticity of some mantle crystal structures: 2. Rutile GeO2 , 1973 .

[801]  O. L. Anderson,et al.  A TEST OF THE NaCl EQUATION OF STATE BY THE BEHAVIOR OF THE SHEAR VELOCITIES AT HIGH PRESSURE , 1979 .

[802]  J. H. Weiner.  Hellmann-Feynman theorem, elastic moduli, and the Cauchy relations , 1981 .

[803]  L. S. Cain,et al.  The elastic constants and their temperature and pressure derivatives of AgBr-AgCl mixed crystals , 1976 .

[804]  R. Liebermann,et al.  Compressional velocities of polycrystalline olivine, spinel and rutile minerals , 1972 .

[805]  I. Boswarva,et al.  The generalised Huggins-Mayer form of born repulsive potentials for NaCl-type alkali halides , 1981 .

[806]  Peter W. Mirwald,et al.  Phase relations for SrF2 TO 50 Kbars and 1900°C and its compression to 40Kbars at 25°C , 1980 .

[807]  Lin-Gun Liu,et al.  On the interpretation of mantle discontinuities , 1980 .

[808]  J. Watt,et al.  Clarification of the Hashin‐Shtrikman bounds on the effective elastic moduli of polycrystals with hexagonal, trigonal, and tetragonal symmetries , 1980 .

[809]  E. K. Graham,et al.  The elastic constants of cassiterite SnO2 and their pressure and temperature dependence , 1975 .

[810]  I. Ohno,et al.  FREE VIBRATION OF A RECTANGULAR PARALLELEPIPED CRYSTAL AND ITS APPLICATION TO DETERMINATION OF ELASTIC CONSTANTS OF ORTHORHOMBIC CRYSTALS , 1976 .

[811]  Jay D. Bass,et al.  Elasticity of single-crystal SmAlO3, GdAlO3 and ScAlO3 perovskites , 1984 .

[812]  A. E. Ringwood,et al.  Composition of the core and implications for origin of the earth. , 1977 .

[813]  J. C. Jamieson,et al.  A note on the compression of cubic ZnS , 1980 .

[814]  Frank D. Stacey,et al.  Second-order elasticity theory: Explanation for the high poisson's ratio of the inner core , 1980 .

[815]  O. Anderson,et al.  THE PRESSURE DERIVATIVES OF THE SOUND VELOCITIES OF POLYCRYSTALLINE MAGNESIA , 1965 .

[816]  B. Achar,et al.  Shell Model Calculation of Thermal Expansion of Alkali Halides and Magnesium Oxide , 1971 .

[817]  R. Coy,et al.  Phonon dispersion in NiO , 1976 .

[818]  O. Anderson,et al.  A simplified method for calculating the debye temperature from elastic constants , 1963 .

[819]  Li-chung Ming,et al.  High pressure phase transformations in MgF2 (rutile) , 1979 .

[820]  Gregory A. Lyzenga,et al.  Shock temperature measurements in Mg2SiO4 and SiO2 at high pressures , 1980 .

[821]  Peter M. Bell,et al.  COMPRESSION EXPERIMENTS ON MgO AND RUBY WITH THE DIAMOND-WINDOW PRESSURE CELL TO 1 MEGABAR , 1977 .

[822]  R. N. Thurston,et al.  Elastic Moduli of Quartz versus Hydrostatic Pressure at 25 and-195.8C , 1965 .

[823]  Don L. Anderson,et al.  The deep structure of continents , 1979 .

[824]  Reinhard Boehler,et al.  Resistance heating of Fe and W in diamond-anvil cells , 1986 .

[825]  R. Jeanloz,et al.  Effect of Coordination Change on Thermodynamic Properties , 1982 .

[826]  R. Jeanloz,et al.  B1-B2 Transition in Calcium Oxide from Shock-Wave and Diamond-Cell Experiments , 1979, Science.

[827]  Reinhard Boehler,et al.  Adiabats (∂T/∂P) s and Grüneisen parameter of NaCl up to 50 kilobars and 800°C , 1981 .

[828]  J. Watt,et al.  Velocity-density systematics, mean atomic weight, and the interior of the moon , 1981 .

[829]  Raymond Jeanloz,et al.  High-pressure X-Ray diffraction and optical absorption studies of CsI , 1985 .

[830]  D. Anderson,et al.  Discrepancies in Elastic Constant Data for MgO Polycrystals and Single Crystals , 1971 .

[831]  R. Jeanloz,et al.  Synthesis and Equation of State of (Mg,Fe) SiO3 Perovskite to Over 100 Gigapascals , 1987, Science.

[832]  O. Anderson,et al.  A Decade of Progress in Earth's Internal Properties and Processes. , 1981, Science.

[833]  Daniel J. Steinberg,et al.  The temperature independence of Gruneisens gamma at high temperature , 1981 .

[834]  O. Anderson,et al.  Evidence supporting the approximation γρ = const for the Grüneisen parameter of the Earth's lower mantle , 1979 .

[835]  H. J. Mcskimin,et al.  The Elastic Stiffness Moduli of Diamond , 1972 .