Альтшулер Л. В., Использование ударных волн в физике высоких давлений, УФН, 85, 1965, 197-240.
Джавадов Л. Н., Определение термодинамических функций под давлением из измерений ( T/ P)S, ФТТ, 27, 1986, 1106-1108.
Жарков В. Н., Термодинамика оболочки Земли, Изв. АН СССР, Физ. Земли, 9, 1959, 1414-1419.
Жарков В. Н., Доклад на международной конференции "Физико-химические исследования в науке о Земле", Объединенный ин-тут физики Земли, Москва, 1997.
Жарков В. Н., Калинин В. А., Уравнение состояния твердых тел при высоких давлениях и температурах, Наука, Москва, 1968.
Калинин В. А., Об универсальном уравнении состояния, Изв. АН СССР, Физ. Земли, 4, 1972, 16-23.
Калинин В. А., Паньков В. Л., Уравнение состояния стишовита, коэсита и кварца, Изв. АН СССР, Физ. Земли, 3, 1972, 3-15.
Калинин В. А., Паньков В. Л., Калачников А. А., Сравнение двух методов расчета полных фазовых диаграмм системы MgO-SiO 2, Физ. Земли, 3, 1991, 88-98.
Кусков О. Л., Панферов А. Б., Фабричная О. Б., Галимзянов Р. Ф., Трускиновский Л. М., Петролого-геофизическая модель переходной зоны мантии, Планетная космогония и наука о Земле, ред. В. А. Магницкий, Ин-тут физики Земли, Москва, 1989.
Паньков В. Л., Об отрицательном коэффициенте объемного теплового расширения, Физ. Земли, 6, 1992, 106-111.
Паньков В. Л., Баюк И. О., Бубнова Н. Я., Калачников А. А., Насимов Р. М., Термодинамические (термические и калорические) свойства мантийных минералов, 1997 URL: http//www.scgis.ru/russian/cp1251 sdb\_1.html
Паньков В. Л., Перовскитовая модель нижней мантии, Физика и внутреннее строение Земли, ред. В. А. Магницкий и В. Н. Жарков, Наука, Москва, 1989.
Agnon A., and Bukowinsky M. S. T., Thermodynamic and elastic properties of a many-body model for simple oxides, Phys. Rev., B41, 1990a, 7755-7766.
Agnon A., and Bukowinsky M. S. T., dS at high pressure and d ln VS/d ln VP in the lower mantle, Geophys. Res. Lett., 17, 1990b, 1149-1152.
Ahrens T. J., Anderson D. L., and Ringwood F. E., Equations of state and crystal structures of high-pressure phases of shocked silicates and oxides, Rev. Geophys., 7, 1969, 667-772.
Ahrens T. J., and Thomsen L., Application of the fourth-order anharmonic theory to the prediction of equations of state at high compressions and temperatures, Phys. Earth Planet. Inter., 5, 1972, 282-293.
Aidun J., Bukowinsky M. S. T., and Ross M., Equations of state and metallization of CsJ, Phys. Rev. Sect., B 29, 1984, 2611-2621.
Akaogi M., and Ito E., Heat capacity of MgSiO3 perovskite, Geophys. Res. Lett., 20, 1993, 105-108.
Akaogi M., Ito E., and Navrotsky A., Olivine-modified spinel-spinel transitions in the system Mg2SiO4 - Fe2SiO4, Calorimetric measurements, thermochemical calculations, and geophysical application, J. Geophys. Res., 94, 1989, 15,671-15,686.
Akaogi M., and Navrotsky A., The quartz-coesite-stishovite trnsformations: new calorimetric measurements and calculation of phase diagrams, Phys. Earth Planet. Inter., 36, 1984, 124-134.
Akaogi M., Navrotsky A., Yagi T., and Akimoto S., Pyroxene-garnet transition: Thermochemistry and elasticity of garnet solid solutions, and application to a pyrolite mantle, In: High-Pressure Research in Mineral Physics, ed. by M. H. Manghnani and Y. Syono, Terra Pub., Tokyo, Japan, 1987, 251-260.
Akaogi M., Ross N. L., McMillan P., and Navrotsky A., The Mg2SiO4 polymorphs (olivine, modified spinel and spinel) thermodynamic properties from oxide melt solution calorimetry, phase relations and models of lattice vibrations, Am. Mineral, 69, 1984, 499-512.
Akimoto S., Matsui Y., and Syono Y., High pressure crystal chemistry in orthosilicates and formation of the mantle transition zone, In: Physics and Chemistry of Minerals and Rocks, ed. by R. J. Strens, John Wiley, New York, 1976, 327-363.
Al'tschuller L. V., Use of shock waves in high pressure physics (in Russian), Uspechi fiz. Nauk 85, 197-248, Engl. transl. in Sov. Phys. Usp., 8, 52-91, 1965.
Anderson D. L., A seismic equation of state, Geophys. J. R. Astr. Soc., 13, 1967, 9-30.
Anderson D. L., A seismic equation of state: II. Shear properties and thermodynamics of the lower mantle, Phys. Eartrh Planet. Inter., 45, 1987, 307-323.
Anderson D. L., Temperature and pressure derivatives of elastic constants with application to the mantle, J. Geophys. Res., 83, 1988, 4688-4700.
Anderson D. L., Theory of the Earth, Blackwell Scientific, Boston Mass, 1989.
Anderson D. L., and Anderson O. L., The bulk modulus volume relationship for oxides, J. Geophys. Res., 75, 1970, 3494-3500.
Anderson O. L., Derivation of Wachtman's equation for the temperature dependence of elastic moduli of oxide compounds, Phys.Rev., 144, 1966a, 553-557.
Anderson O. L., Use of ultrasonic measurements at modest pressure to estimate high-pressure compression, Phys. Chem. Solids 27, 1966b, 547-565.
Anderson O. L., Equation for thermal expansivity in planetary interiors, J. Geophys. Res., 72, 1967, 3661-3668.
Anderson O. L., Some remarks on the volume dependence of the Grüneisen parameter, J. Geophys. Res., 73, 1968, 5187-5194.
Anderson O. L., A scaling law for K' for silicates with constant atomic mass, Earth Planet. Sci. Letters 20, 1973, 73-76.
Anderson O. L., The determination of the volume dependence of the Grüneisen parameter g, J. Geophys. Res., 79, 1974, 1153-1155.
Anderson O. L., The Hildebrand equation-of-state applied to minerals relevant to geophysics, Phys. Chem. Miner., 5, 1979a, 33-51.
Anderson O. L., Evidence supporting the approximation const for the Grüneisen parameter of the Earth's lower mantle, J. Geophys. Res., 84, 1979b, 3537-3542.
Anderson O. L., The high-temperature acoustic Grüneisen parameter in the Earth's interior, Phys. Earth Planet. Inter., 18, 1979c, 221-231.
Anderson O. L., An experimental high-temperature thermal equation of state: bypassing the Grüneisen parameter, Phys. Earth Planet. Inter., 22, 1980, 173-183.
Anderson O. L., Are anharmonicity corrections needed for temperature-profile calculations of interiors of terrestrial planets? Phys. Earth Planet. Inter., 29, 1982, 91-104.
Anderson O. L., A universal thermal equation-of-state, J. Geodynamics 1, 1984, 185-214.
Anderson O. L., The Earth's core and the phase diagram of iron, Phil. Trans. R. Soc. Lond., A 306, 1986, 21-35.
Anderson O. L., Simple solid-state equations for materials of terrestrial planet interiors, In: The Physics of the Planets, ed. by K. Runcorn, John Wiley, New York, 1988, 27-60.
Anderson O. L., Equations of State of Solids for Geophysics and Ceramic Science, N. Y., Oxford Univ. Press, 1995.
Anderson O. L., Boehler R., and Sumino Y., Anharmonicity in the Equation of State at High Temperature for Some Geophysically Important Solids, In: High-Pressure Research in Geophysics, ed. by S. Aikimoto, M. H. Manghnani, 1982, 273-283.
Anderson O. L., and Goto T., Measurement of elastic constants of mantle-related minerals at temperatures up to 1800 K, Phys. Earth Planet. Inter., 55, 1989, 241-253.
Anderson O. L., Goto T., and Isaak D. G., The dlnVS/dlnVP parameter in seismic tomography (abstract), EOS Trans. Am. Geophys. Union 68, 1987, p. 1488.
Anderson O. L., Isaak D. G., and Oda H., Thermodynamic parameters for six minerals at high temperature, J. Geophys. Res., 96, 1991, 18,037-18,046.
Anderson O. L., Isaak D. G., and Oda H., High- Temperature Elastic Constant Data on Minerals Relevant to Geophysics, Reviews of Geophysics 30, 1992a, 57-90.
Anderson O. L., Oda H., and Isaak D. G., A model for the computation of thermal expansivity at high compression and high temperature: MgO as an example, Geophys. Res. Lett., 19, 1992b, 1987-1990.
Anderson O. L., Isaak D. G., and Yamamoto S., Anharmonicity and the equation of state for gold, J. Appl. Phys., 65, 1989, 1534-1543.
Anderson O. L., Kume S., Ito E., and Navrotsky A., MgSiO 3 ilmenite: heat capacity, thermal expansivity, and enthalpy of transformation, Phys. Chem. Miner., 16, 1988, 239-245.
Anderson O. L., and Nafe J. E., The bulk modulus-volume relationship for oxide compounds and related geophysical problems, J. Geophys. Res., 70, 1965, 3951-3963.
Anderson O. L., Oda H., Chopelas A., and Isaak D. G., A Thermodynamic Theory of the Grüneisen Ratio at Extreme Conditions: MgO as an example, Phys. Chem. Minerals 19, 1993, 369-380.
Anderson O. L., Schreiber E., Liebermann R. C., and Soga N., Some elastic constant data on minerals relevant to geophysics, Rev. Geophys., 6, 1968, 491-524.
Anderson O. L., and Sumino Y., The thermodynamic properties of the Earth's lower mantle, Phys. Earth Planet. Inter., 23, 1980, 314-331.
Anderson O. L., and Suzuki I., Anharmonicity of three minerals at high temperature: forsterite, fayalite, and periclase, J. Geophys. Res., 88, 1983, 3549-3556.
Anderson O. L., and Yamamoto S., Interrelationship of thermodynamic properties obtained by the piston-cylinder high-pressure experiments and RPR high temperature experiments for NaCl, In: High Pressure Research in Mineral Physics, Manghnani M. H., Syono Y. (eds), Center for Academic Publications, Tokyo, 1987, 289-298.
Anderson O. L., and Zou K., Formulation of the thermodynamic functions for mantle minerals: MgO as an example, Phys. Chem Minerals 16, 1989, 642-648.
Angel R. J., Chopelas A., and Ross N. L., Stability of high-density clinoenstatite at upper-mantle pressures, Nature, 358, 1992, 322-324.
Angel R. J., and Hugh-Jones D. A., Equations of state of upper mantle minerals (abstract), Annales Geophysicae, Supplement to Volume 11, 1993, p. C25.
Ashida T., Kume S., Ito E., and Navrotsky A., MgSiO 3 ilmenite: heat capacity, thermal expansivity, and enthalpy of transformation, Phys. Chem. Miner., 16, 1988, 239-245.
Babuska V., Fiala J., Kumazawa M., Ohno I., and Sumino Y., Elastic properties of garnet solid-solution series, Phys Earth Planet. Inter., 16, 1978, 157-176.
Barron T. H. K., Grüneisen parameters of the equation of state of solids, Ann. Phys., 1, 1957, 77-89.
Barron T. H. K., A note on the Anderson-Grüneisen functions, J. Phys., C12, 1979, L155 -159.
Barsch G. R., and Achar B. N. N., Shell model calculation of the second Grüneisen parameter and pressure dependence of the first Grüneisen parameter for alkali halides, Proc. Conf. Am. Inst. Phys., 3, 1970, 221-229.
Bartels R. A., and Vettler V. H., The temperature dependence of the elastic constants of CaO and SrO, J. Phys. Chem. Solids 33, 1972, 1991-2005.
Barton M. A., and Stacey F. D., The Grüneisen parameter at high pressure: a molecular dynamic study, Phys. Earth Planet. Inter., 39, 1985, 167-177.
Bass J. D., Elasticity of uvarovite and andradite garnets J. Geophys. Res., 91, 1986, 7505-7516.
Bass J. D., and Weidner D. J., Elasticity of single-crystal orthoferrosilite, J. Geophys. Res., 89, 1984, 4359-4371.
Bassett W. A., and Barnett J. D., Isothermal compression of stishovite and coesite up to 85 kilobars at room temperature by X-ray diffraction, Phys. Earth Planet. Inter., 3, 1970, 54-60.
Bassett W. A., Takahashi T., Mao H.-K., and Weaver J. S., Pressure-induced phase transformation in NaCl, J. Appl. Phys., 34, 1968, 319-325.
Berman R. G., Internally consistent thermodynamic data for minerals in the system Na2O - K2O - CaO - MgO - FeO - Fe2O3 - Al2O3 - SiO2 - TiO2 - H2O - CO2, J. Petrol., 29, 1988, 445-522.
Bina C. R., and Helffrich G. R., Calculation of elastic properties from thermodynamic equation of state principles, Annu. Rev. Earth Planet. Sci., 20, 1992, 527-52?
Birch F., Elasticity and constitution of the Earth's interior, J. Geophys. Res., 57, 1952, 227-286.
Birch F., The velocity of compressional waves in rocks to 10 kilobars, J. Geophys. Res., 66, part 2, 1966, 2199-2224.
Birch F., Thermal expansion at high pressures, J. Geophys. Res., 73, 1968, 817-819.
Birch F., Finite strain isotherm and velocities for single-crystal and policrystalline NaCl at high pressures and 300 K, J. Geophys. Res., 83, 1978, 1257-1268.
Birch F., Equation of state and thermodynamic parameters of NaCl to 300 Kbar in the high-temperature domain, J. Geophys. Res., 91, 1986, 4949-4954.
Boehler R., Adiabats of quartz, coesite, olivine and magnesium oxide to 50 Kbar and 1000 K and the adiabatic gradient in the Earth's mantle, J. Geophys. Res., 87, 1982, 5501-5506.
Boehler R., Melting temperature and Grüneisen parameter of lithium, sodium and potassium versus pressure, Phys. Rev., B27, 1983, 6754-6762.
Boehler R., Melting of the Fe-FeO and Fe-FeS systems at high pressure: Constraints on core temperature, Earth Planet. Sci. Lett., 111, 1992, 217-227.
Boehler R., Besson J. M., Nicol M., Nielsen M., Itie J. R., Weil G., Johnson S., and Grey F., X-ray diffraction of g -Fe at high temperatures and pressures, J. Appl. Phys., 65, 1989, 11795-11797.
Boehler R., and Ramakrishnan J., Experimental results of the pressure dependence of the Grüneisen parameter: a review, J. Geophys. Res., 85, 1980, 6996-7002.
Boisen M. B., and Gibbs G. V., A modelling of the structure and compressibility of quartz with a molecular potential and its transferability to crystalitite and coesite, Phys. Chem. Miner., 1993, p. 123.
Bonczar L. J., and Graham E. K., The pressure and temperature dependence of the elastic properties of policrystalline magnesiowüstite, J. Geophys. Res., 87, 1982, 1061-1078.
Born M., and Huang K., Dynamic Theory of Crystal Lattices, Oxford University Press, New York, 1954.
Boslough M., Ahrens T. J., and Mitchell A. C., Shock temperature in CaO, J. Geophys. Res., 89, 1984, 7845-7851.
Brennan B. J., and Stacey F., A thermodynamically based equation of state for the lower mantle, J. Geophys. Res., 84, 1979, 5535-5539.
Brown M., and Shankland T. J., Thermodynamic parameters in the Earth as determined from seismic profiles, Geophys. J. R. Astron. Soc., 66, 1981, 579-596.
Bukowinsky M. S. T., and Wolf G. H., Thermodynamically Consistent Decompression: Implications for Lower Mantle Composition, J. Geophys. Res., 95, 1990, 12,583-12,593.
Callen H. B., Thermodynamics, New York, Wiley, 1960.
Campbell A. J., and Heinz D. L., A high-pressure test of Birch's law, Science, 257, 1992, 66-68.
Carter W. J., Marsh S. P., Fritz J. N., and McQueen R. B., The equation of state of selected materials for high-pressure reference, In: Accurate Characterization of the High Pressure Environment, ed. by E. C. Boyd, NBS special publ. 326, Washington D.C., 1971, 147-158.
Catlow C. R. A., and Price G. D., Computer modelling of solid-state inorganic materials, Nature, 347, 1990, 243-248.
Catti M., Theoretical computation of physical properties of mantle minerals, In: Chemistry and Physics of Terrestrial Planets, Advances in Physical Geochemistry, vol. 6, ed. by S. K. Saxena, Springer Verlag, New York, 1986, 224-250.
Catti M., Pavese A., Apra E., and Roetti C., Quantum-mechanical Hartree-Fock study of calcite (CaCO 3 ) at variable pressure, and comparison with magnesite (MgCO 3 ), Phys. Chem. Miner., 1993, p. 104.
Chopelas A., Thermal properties of forsterite at mantle pressures derived from vibrational spectrometry, Phys. Chem. Miner., 17, 1990a, 149-156.
Chopelas A., Thermal expansion, heat capacity, and entropy of MgO at mantle pressure, Phys. Chem. Miner., 17, 1990b, 142-148.
Chopelas A., Thermal properties of b -Mg 2 SiO 4 at mantle pressures derived from vibrational spectroscopy: Implications for the mantle at 400 km depth, J. Geophys. Res., 96, 1991a, 11,817-11,829.
Chopelas A., Single crystal Raman spectra of forsterite, fayalite and monticellite, Am. Mineral., 76, 1991b, 1101-1109.
Chopelas A., Sound velocities of MgO and MgAl 2 O 4 to very high compression in the low mantle, Terra abstracts, V.S., Supplement No 1, 1993, p. 100.
Chopelas A., and Boehler R., Thermal expansivity in the lower mantle, Geophys. Res. Lett., 19, 1992, 1983-1986.
Chopelas A., and Hofmeister A. M., Vibrational Spectroscopy of Aluminate Spinels at 1 atm and of MgAl 2 O 4 to over 200 kbar, Phys. Chem. Miner., 18, 1991, 279-293.
Chopelas A., and Nicol M. F., Pressure dependence to 100 kbar of the phonons of MgO at 90 and 295 K, J. Geophys. Res., 94, 1982, 8591-8597.
Chung D. H., On the equation of state of high-pressure solid phases, Earth Planet. Sci. Lett., 18, 1973, 125-132.
Chung D. H., General relationships among sound speeds. I. New experimental information, Phys. Earth Planet. Inter., 8, 1974, 113-120.
Chung D. H., and Simmons G., Earth Planet. Sci. Letters, 6, 1969, 134-138.
Clark S. R., Remarks on thermal expansion, J. Geophys. Res., 74, 1969, 731-732.
Cohen R. E., Calculation of elasticity and high-pressure instabilities in corundum and stishovite with the potential induced breathing model, Geophys. Res. Lett., 14, 1987a, 37-40.
Cohen R. E., Elasticity and equation of state of MgSiO 3 perovskite, Geophys. Res. Lett., 14, 1987b, 1053-1056.
Cohen R. E., Boyer L. L., Mehl M. J., Pickett W. E., and Krakauer H., Electronic structure and total energy calculations for oxide perovskites and superconductors, See Navrotsky & Weidner 1989, 55-66.
D'Arco F., Silvi B., Roetti C., and Orlando R., Comparative Study of Spinel Compounds: A Pseudopotential Periodic Hartree-Fock Calculation of Mg2SiO4, Mg2GeO4, Al2MgO4 and Ga2MgO4, J. Geophys. Res., 96, 1991, 6107-6112.
Davies G. F., Quasi-harmonic finite strain equations of state of solids 34, 1973, 1417-1429.
Davies G. F., The estimation of elastic properties from analogue compounds, Geophys. J. R. Astron. Soc., 44, 1976, 625-647.
Dovesi R., Pisani C., Roetti C., and Silvi B., The electronic structure of a -quartz: A periodic Hartree-Fock calculation, J. Chem. Phys., 86, 1987, 6967-6971.
Dragoo A. L., and Spain I. L., The elastic moduli and their pressure and temperature derivatives for calcium oxide, J. Phys. Chem. Solids, 38, 1977, 705-710.
Duffy T. S., and Ahrens T. J., Sound velocities at high pressure and temperature and their geophysical inplications, J. Geophys. Res., 97, 1992a, 4503-4520.
Duffy T. S., and Ahrens T. J., Lateral variations in lower mantle seismic velocity, In: High-Pressure Research: Application to Earth and Planetary Sciences, ed. by Y. Syono and M. H. Manghnani, Terra, Washington, (in press), 1992b.
Duffy T. S., and Ahrens T. J., Thermal expansion of mantle and core materials at very high pressures, Geophys. Res. Letters, 20, 1993, 1103-1106.
Duffy T. S., and Anderson D. L., Seismic velocities in mantle minerals and the mineralogy of the upper mantle, J. Geophys. Res., 94, 1989, 1895-1912.
Duffy T. S., and Vaughan M. T., Elasticity of enstatite and its relationship to crystal structure, J. Geophys. Res., 93, 1988, 383-391.
Dugdale J. S., and MacDonald D. K. C., The thermal expansion of solids, Phys. Rev., 89, 1953, 832-834.
Dziewonsky A. M., and Anderson D. L., Preliminary Reference Earth Model, Phys. Earth Planet. Inter., 25, 1981, 297-356.
Eliezer S., Ghatak A., and Hora H., An Introduction to Equations of State: Theory and Applications, Cambridge University Press, Cambridge, 1986.
Fabrichnaya O. B., and Kuskov O. L., Constitution of the mantle. 1. Phase relations in the FeO-MgO-SiO 2 system at 10-30 GPa, Phys. Earth Planet. Inter., 69, 1991, 56-71.
Fei Y., Mao H.-K., and Mysen B. O., Experimental Determination of Element Partitioning and Calculation of Phase Relations in the MgO-FeO-SiO 2 System at High Pressure and High Temperature, J. Geophys. Res., 96, 1991, 2157-2169.
Fei Y., Mao H.-K., Shu J., and Hu J., P - V - T Equation of State of Magnesiowüstite (Mg 0.6 Fe 0.4 )O, Phys. Chem. Miner., 18, 1992a, 416-422.
Fei Y., Mao H.-K., Parthasarathy G., Bassett W. A., and Ko J., Simultaneous high P - T X-ray diffraction study of b -(Mg,Fe) 2 SiO 4 to 26 GPa and 900 K, J. Geophys. Res., 97, 1992b, 4489-4495.
Fei Y., and Saxena S. K., A Thermodynamical Data Base for Phase Eqilibria in the System Fe-Mg-Si-O at High Pressure and Temperature, Phys. Chem. Miner., 13, 1986, 311-324.
Fei Y., and Saxena S. K., An equation for the heat capacity of solids, Geochim. Cosmochim. Acta, 51, 1987, 251-254.
Fei Y., Saxena S. K., and Navrotsky A., Internally consistent thermodynamic data and equilibrium phase relations for compounds in the system MgO-SiO 2 at high pressures and high temperatures, J. Geophys. Res., 95, 1990, 6915-6928.
Finger L. W., and Hazen R. M., J. Appl. Phys., 49, 1978, p. 5823.
Finger L. W., Hazen R. M., Zhang J. M., and Ko J., Effects of Fe on the crystal chemistry b -(Mg,Fe) 2 SiO 4, EOS Trans. AGU, 71, 1990, p. 524.
Fiquet G., Gillet Ph., and Richet P., Anharmonic contributions to the heat capacity of minerals at high temperatures, Application to Mg 2 GeO 4, Ca 2 GeO 4, MgCaGeO 4 olivines, Phys. Chem. Miner., 18, 1992, 469-479.
Frisillo A. L., and Barsch G. R., Measurement of single-crystal elastic constants of bronzite as a function of pressure and temperature, J. Geophys. Res., 77, 1972, 6360-6384.
Fujisawa H., No Olivine in the Mantle? (abstract), Trans. EOS, 68, 1987, 409.
Fumi F. G., and Tosi M. P., On the Mie-Grüneisen and the Hildebrand approximations to the equation of state of cubic solids, J. Phys. Chem. Solids, 23, 1962, 395-404.
Funamori N., and Yagi T., High pressure and high temperature in situ X-ray observation of MgSiO 3 perovskite under lower mantle conditions, Geophys. Res. Lett., 20, 1993, 387-390.
Fьrth R., On the equation of state of solids, Proc. R. Soc., A183, London, 1944, 87-110.
Furukawa G. T., Douglas T. B., McCoskey R. E., and Ginning D. C., Thermal properties of aluminium oxide from 0 to 1200 K, J. Res. Natl. Bur. Stand., 57, 1968, 121-131.
Geiger C. A., Bonding and bulk modulus characteristics of the garnet family (abstract), Annales Geophysicae, Supplement I to Volume 11, 1993, p. C26.
Geiger C. A., Winkler B., and Langer K., Infrared spectra of synthetic almandine-grossular and almandine-pyrope garnet solid-solutions: evidence for equivalent site behavior, Mineral. Mag., 53, 1989, 231-238.
Gibbs C. V., Prewitt C. T., and Baldwin K. J., A study of the structural chemistry of coesite, Z. Crystallogr., 145, 1977, p. 108.
Gillet Ph., Fiquet G., Malézieux J. M., and Geiger C. A., High-pressure Raman spectroscopy of end-member garnets: pyrope, grossular and andradite, Eur. J. Mineral., 4, 1992, 651-664.
Gillet Ph., Guyot F., and Malézieux J. M., High pressure and high temperature Raman spectroscopy insights on anharmonicity, Phys. Earth Planet. Inter., 58, 1989, 141-154.
Gillet Ph., Guyot F., Price G. D., Tournerie B., and Le Cleach A., Phase changes and thermodynamic properties of CaTiO 3, Spectroscopic data, vibrational modelling and some insights on the properties of MgSiO 3 perovskite, Phys. Chem. Miner., 20, 1993, 159-170.
Gillet Ph., Le Cleach A., and Madon M., High-tempera-ture Raman spectroscopy of the SiO 2 and GeO 2 polymorphs: anharmonicity and thermodynamic properties at high temperature, J. Geophys. Res., 95, 1990, 21,635-21,655.
Gillet Ph., Richet P., Guyot F., and Fiquet G., High temperature thermodynamic properties of forsterite, J. Geophys. Res., 96, 1991, 11,805-11,816.
Goto T., Yamamoto S., Ohno I., and Anderson O. L., Elastic constants of corundum up to 1825 K, J. Geophys. Res., 94, 1989, 7588-7602.
Graham E. K., and Kim H. S., The bulk modulus of wüstite (FeO) (abstract), EOS Trans. AGU, 67, 1986, p. 1240.
Graham E. K., Schwab J. A., Sopkin S. M., and Takei H., The Pressure and Temperature Dependence of the Elastic Properties of Single-Crystal Fayalite Fe2SiO4, Phys. Chem. Miner., 16, 1988, 186-198.
Graham E. K., Sopkin S. M., and Resley W. E., Elastic constants of fayalite, Fe 2 SiO 4 and the olivine solution series (abstract), EOS Trans. AGU, 63, 1982, p. 1090.
Grüneisen E., The state of solids, In: Hanbuch der Physik, 1926, p. 10.
Gupta G. M., J. Geophys. Res., 88, 1983, 4304-4312.
Gwanmesia G. D., Rigden S., Jackson I., and Liebermann R. C., Pressure dependence of elastic wave velocity for b -Mg 2 SiO 4 and the composition of the Earth's mantle, Science, 250, 1990, 794-797.
Halleck P. M., The compression and compressibility of grossularite garnet: A comparison of X-ray and ultrasonic methods. Ph.D. thesis, Univ. of Chicago, Chicago, Il, 1973.
Haniford V. M., and Weidner D. J., Elastic properties of grossular-andradite garnets Ca3 (Al,Fe)Si3 O12 (abstract), EOS Trans. AGU, 66, 1985, p. 1063.
Hardy R. J., Temperature and pressure dependence of intrinsic anharmonic and quantum corrections to the equation of state, J. Geophys. Res., 85, 1980, 7011-7015.
Hazen R. J., Effects of temperature and pressure on the crystal structure of forsterite, Am. Mineral., 61, 1976, 1280-1293.
Hazen R. J., Perovskites, Sci. Amer., June, 1988, 74-81.
Hazen R. J., and Finger L. W., High-pressure crystal chemistry of andradite and pyrope: revised procedures for high-pressure diffraction experiments, Am. Miner., 74, 1989, 352-359.
Hazen R. M., and Jeanloz R., Wüstite (FeO 1-x O): A review of its defect structure and physical properties, Rev. Geophys. Space Phys., 22, 1984, 37-46.
Hazen R. M., Mao H.-K., Finger L. W., and Bell P. M., Irreversible unit-cell volume cell changes of wüstite single crystals quenched from high pressure, Carnegie Inst. Washington Yearb., 80, 1981, 274-277.
Hazen R. M., Zhang J. M., and Ko J., Effects of Fe/Mg on the compressibility of synthetic wadsleyite: b -(Mg 1-x Fe x )SiO 3 x 0.25 ), Phys. Chem. Miner., 17, 1990, 416-419.
Heinz D. L., and Jeanloz R., Measurement of the Melting Curve of Mg 0.9 Fe 0.1 SiO 3 at Lower Mantle Conditions and Its Geophysical Implications, J. Geophys. Res., 92, 1987, 11,437-11,444.
Hemingway B. S., Quartz: Heat capacities from 340 to 1000 K and revised values for the thermodynamic properties, Am. Miner., 72, 1987, 273-279.
Hemley R. J., and Cohen R. E., Silicate perovskite, Annu. Rev. Earth Planet. Sci., 20, 1992, 553-600.
Hemley R. J., Cohen N. E., Yeganeh-Haeri A., Mao H. K., Weidner J., and Ito E., Raman spectroscopy and lattice dynamics of MgSiO 3 perovskite at high pressure, In: Perovskite, ed. by A. Navrotsky and D. J. Weidner, Am. Geophys. Un. Washington D.C., 1989, 35-44.
Hemley R. J., Jackson M. D., and Gordon R. G., First principle theory of equations of state at high pressures and high temperatures: Application to MgO, Geophys. Res. Lett., 12, 1985, 247-250.
Hemley R. J., Jackson M. D., and Gordon R. G., Theoretical study of the structure, lattice dynamics, and equations of state of perovskite-type MgSiO 3 and CaSiO 3, Phys. Chem. Miner., 14, 1987, 2-12.
Hofmeister A. M., Single-crystal absorption and reflection infrared spectroscopy of forsterite and fayalite, Phys. Chem. Miner., 14, 1987, 499-513.
Hofmeister A. M., Calculation of Bulk Modulus and Its Pressure Derivatives from Vibrational Frequencies and Mode Grüneisen Parameters: Solids with Cubic Symmetry or One Nearest-Neighbor Distance, J. Geophys. Res., 96, 1991a, 16,181-16,203.
Hofmeister A. M., Pressure derivatives of the bulk modulus, J. Geophys. Res., 96, 1991b, 21,893-21,907.
Hofmeister A. M., Interatomic potentials calculated form equations of state: limitation of finite strain to moderate K, Geophys. Res. Lett., 20, 1993, 635-638.
Hofmeister A. M., and Chopelas A., Vibrational spectroscopy of endmember silicate garnets, Phys. Chem. Miner., 17, 1991a, 503-526.
Hofmeister A. M., and Chopelas A., Thermodynamic properties of pyrope and grossular from vibrational spectra, Am. Miner., 76, 1991b, 880-891.
Hofmeister A. M., and Ito E., Thermodynamic properties of MgSiO 3 ilmenite from vibrational spectra, Phys. Chem. Miner., 18, 1992, 423-432.
Hofmeister A. M., Xu J., and Akimoto S., Infrared spectra of synthetic and natural stishovite, Am. Miner., 75, 1990, 951-955.
Hofmeister A. M., Xu J., Mao H.-K., Bell P. M., and Hoering T. C., Thermodynamics of Fe-Mg olivines at mantle pressure: mid- and far-infrared spectroscopy at high pressure, Am. Miner., 74, 1989, 281-306.
Holm J. L., Kleppa O. J., and Westrum E. F., Thermodynamics of polymorphiv transitions in silica, Geochim. Cosmochim. Acta, 31, 1967, 2289-2307.
Hugh-Jones D. A., and Angel R. J., Phase stability of magnesium silicate pyroxenes (abstract), Annales Geophysicae, Supplement 1 to Volume 11, 1993, p. C26.
Iishi K., Lattice dynamics of forsterite, Am. Miner., 63, 1978, 1198-1208.
Irifune T., An experimental investigation of the pyroxene-garnet transformation in a pyrolite composition and its bearing on the constitution of the mantle, Phys. Earth Planet. Inter., 45, 1987, 324-326.
Irvine R. D., and Stacey F. D., Pressure dependence of the thermal Grüneisen parameter, with application to the Earth's lower mantle and outer core, Phys. Earth Planet. Inter., 11, 1975, 157-165.
Isaak D. G., The mixed P, T derivatives of elastic moduli and implications on extrapolating throughout the Earth's mantle, Phys. Earth Planet. Inter., 80, 1993, 37-48.
Isaak D. G., and Anderson O. L., The relationship between shear and compressional velocities at high pressures: reconciliation of seismic tomography and mineral physics, Geophys. Res. Lett., 19, 1992, 741-744.
Isaak D. G., Anderson O. L., and Cohen R. E., The relationship between shear and compressional velocities at high pressures: reconciliation of seismic tomography and mineral physics, Geophys. Res. Lett., 19, 1992, 741-744.
Isaak D. G., Anderson O. L., and Goto T., Measured elastic modules of single-crystal MgO up to 1800 K, Phys. Chem. Miner., 16, 1989a, 703-704.
Isaak D. G., Anderson O. L., and Goto T., Elasticity of single-crystal forsterite measured to 1700 K, J. Geophys. Res., 94, 1989b, 5895-5906.
Isaak D. G., Cohen R. E., and Mehl M. J., Calculated elastic and thermal properties of MgO at high pressures and temperatures, J. Geophys. Res., 95, 1990, 7055-7067.
Ito E., Akaogi M., Topor L., and Navrotsky A., Negative pressure-temperature slopes for reactions forming MgSiO 3 perovskite from calorimetry, Science, 249, 1990, 1275-1278.
Ito E., Kawada K., and Akimoto S., Thermal expansion of stishovite, Phys. Earth Planet. Inter., 8, 1974, 277-281, Erratum, Phys. Earth Planet. Inter., 9, 1974, p. 371.
Ito E., and Navrotsky A., MgSiO 3 ilmenite: calorimetry, phase equilibria, and decomposition at atmospheric pressure, Am. Miner., 70, 1985, 1020-1026.
Ito E., and Takahashi A., Postspinel transformations in the system Mg 2 SiO 4 -Fe 2 SiO 4 and some geophysical implications, J. Geophys. Res., 94, 1989, 10,637-10,646.
Ito E., and Yamada H., Stability relations of silicate spinels, ilmenites, and perovskites, In: High Pressure Research in Geophysics, ed. by S. Akimoto and M. H. Manghnani, Center Acad. Publ., Japan, Tokyo, 1982, 405-419.
Jackson I., Melting of the silica isotope SiO 2, BeF 2, GeO 2 at elevated pressures, Phys. Earth Planet. Inter., 13, 1976, 218-231.
Jackson I., Some geophysical constraints on the chemical composition of the Earth's lower mantle, Earth Planet. Sci. Lett., 62, 1983, 91-103.
Jackson I., and Niesler H., The elasticity of periclase to 3 GPa and some geophysical implications, In: High Pressure Research in Geophysics, ed. by S. Akimoto and M. H. Manghnani, Center for Academic Publishing, Tokyo, 1982, 93-133.
Jeanloz R., Majorite: Vibrational and compressional properties of a high-pressure phase, J. Geophys. Res., 86, 1981, 6171-6179.
Jeanloz R., Mineral and melt physics. A summary of research in the Unated States, 1979-1982, Rev. Geophys., 21, 1983, 1487-1503.
Jeanloz R., Shock-wave equation of state and finite-strain theory, J. Geophys. Res., 94, 1989, 5873-5886.
Jeanloz R., and Ahrens T. J., Equations of state of FeO and CaO, Geophys. J. R. Astron. Soc., 62, 1980a, 505-528.
Jeanloz R., and Ahrens T. J., Anorthite: thermal equation of state to high pressures, Geophys. J. R. Astron. Soc., 62, 1980b, 529-543.
Jeanloz R., Ahrens T. J., Mao H.-K., and Bell P. M., B1/B2 transition in CaO from shock-wave and diamond cell experiments, Science, 206, 1979, 829-830.
Jeanloz R., and Knittle E., Density and composition of the lower mantle, Philos. Trans. R. Soc. London, Ser. A, 328, 1989, 377-389.
Jeanloz R., O'Neill B., Pasternak M. P., Taylor R. D., and Bohlen S. R., Mössbauer spectroscopy of Mg 0.9 Fe 0.1 SiO 3 perovskite, Geophys. Res. Lett., 19, 1992, 2135-2138.
Jeanloz R., and Thompson A. B., Phase transitions and mantle discontinuities, Rev. Geophys., 21, 1983, 51-74.
Jones L., High-temperature behavior of the elastic moduli of LiF and NaF: Comparison with MgO and CaO, Phys. Earth Planet.Inter., 13, 1976, 105-118.
Kanzaki M., Ultra high-pressure phase relations in the system Mg4Si4O12 - Mg3Al2Si3O12, Phys. Earth Planet. Inter., 49, 168-175.
Katzura T., and Ito E., The system Mg2SiO4 - Fe2SiO4 at high pressures and temperatures: Precise determination of stabilities of olivine, modified spinel, and spinel, J. Geophys. Res., 94, 1989, 15,663-15,670.
Kelly D. C., Thermodynamics and statistical physics, Academic Press, New York, 1973.
Kieffer S. W., Thernodynamics and lattice vibrations of minerals: 1,2,3,4, Rev. Geophys. Space Phys., 18, 1979a, b, c, 1980, 1-19, 20-34, 35-59, 862-886.
Knittle E., and Jeanloz R., Synthesis and equation of state of (Mg,Fe) SiO 3 perovskite to over 100 gigapascals, Science, 235, 1987, 668-670.
Knittle E., Jeanloz R., and Smith G. L., Thermal expansion of silicate perovskite and stratification of the earth's mantle, Nature, 319, 1986, 214-216.
Knopoff L., Equations of state of solids at moderately high pressures, In: High Pressure Physics and Chemistry, Vol.1, ed. by R. S. Bradley, Academic, San Diego, Calif., 1963, 227-245.
Knopoff L., and Shapiro J. N., Comments on the interrelationships between Grüneisen parameter and shock and isothermal equations-of-state, J. Geophys. Res., 74, 1969, 1439-1445.
Krupka K. M., Robie R. A., Hemingway B. S., and Kerrick D. M., High-temperature heat capacities and derived thermodynamic properties of anthophillite, diopside, enstatite, bronzite, and wollastonite, Am. Miner., 70, 1985a, 260-271.
Krupka K. M., Robie R. A., Hemingway B. S., and Kerrick D. M., Low-temperature heat capacities and derived thermodynamic properties of anthophillite, diopside, enstatite, bronzite, and wollastonite, Am. Miner., 70, 1985b, 249-260.
Kubaschewski O., Iron-binary phase diagrams, Springer, Berline Heidelberg New York, 1982, p.185.
Kudoh Y., Ito E., and Takeda H., Effect of pressure on the crystal structure of perovskite-type MgSiO3, Phys. Chem. Miner., 14, 1987, 350-354.
Kudoh Y., and Takeuchi Y., The crystal structure of forsterite Mg2SiO4 under pressure up to 149 kbar, Zeit. Krist., 171, 1985, 291-302.
Kuskov O. L., and Fabrichnaya O. B., The SiO2 polymorphs: The equations of state and thermodynamic properties of phase transformations, Phys. Chem. Miner., 14, 1986, 58-66.
Kuskov O. L., and Galimzyanov R., Thermodynamics of stable mineral assemblages of the mantle transition zone, In: Chemistry and Physics of the Terrestrial Planets, ed. by S. K. Saxena, Springer-Verlag, New York, 1986, 310-361.
Kuskov O. L., and Panferov A. B., Phase diagrams of the FeO-MgO-SiO2 system and the structure of the mantle discontinuities, Phys. Chem. Miner., 17, 1991, 642-653.
Leibfried G., and Ludwig W., Theory of anharmonic effects in crystals, Solid State Phys., 12, 1961, 275-444.
Leliva-Kopystynski J., Equations of state in geophysics and in planetary physics, In: High-Pressrue Equations of State: Theory and Applications, Proc. Int. "E. Fermi" 1989 Summer School, ed. by S. Eliezer, R. A. Ricci, North-Holland, Amsterdam, 1991, 439-464.
Levien L., and Prewitt C. T., High-pressure crystal structure and compressibility of coesite, Am. Miner., 66, 1981, 324-333.
Levien L., Prewitt C. T., and Weidner D. G., Compression of pyrope, Am. Miner., 64, 1979, 805-808.
Liebermann R. C., Elasticity of ilmenite, Phys. Earth Planet. Inter., 12, 1976, 5-10.
Liebermann R. C., Jones L. E. A., and Ringwood A. E., Elasticity of aluminate, titanate, stanate and germanate compounds with the perovskite structure, Phys. Earth Planet. Inter., 14, 1977, 165-178.
Liebermann R. C., Li B., Gwanmesia G. D., Rigden S. R., and Jackson I., Velocities of high-pressure phases of mantle minerals and seismic models of the mantle transition zone, Terra abstracts, V. 5, Supplement No.1, 1993, p. 102.
Liu L.-G., Post-oxide phases of forsterite and enstatite, Geophys. Res. Lett., 2, 1975, 417-419.
Liu L.-G., Chemical inhomogeneity of the mantle: Geochemical considerations, Geophys. Res. Lett., 9, 1982, 124-126.
Liu M., and Liu L., Bulk moduli of wüstite and periclase: a comparative study, Phys. Earth Planet. Inter., 45, 273-279.
Madon M., Gillet Ph., Julien Ch., and Price G. D., A vibrational study of phase transition among the GeO polymorphs, Phys. Chem. Miner., 18, 1991, 7-18.
Madon M., and Price G. D., Infrared spectroscopy of polymorphic series (enstatite, ilmenite, and perrovskite) MgSiO3, MgGeO3, and MnGeO3, J. Geophys. Res., 1989, 15,687-15,701.
Mammone J. F., Mao H.-K., and Bell P. M., Equations of state of CaO under static pressure conditions, Geophys. Res. Lett., 8, 1981, 140-142.
Mao H.-K., Velocity-density systematics and its implications for the iron content of the mantle, J. Geophys. Res., 79, 1974, 5447-5450.
Mao H.-K., and Bell P. M., Equation of state of MgO and e -Fe under static pressure conditions, J. Geophys. Res., 84, 1979, 4533-4536.
Mao H.-K., Hemley R. J., Fei Y., Shu J. F., Chen L. C., Jephcoat A. P., and Wu Y., Effect of Pressure, Temperature, and Composition on Lattice Parameters and Density of (Mg,Fe)SiO 3 -Perovskites to 30 GPa, J. Geophys. Res., 96, 1991, 8069-8079.
Mao H.-K., Xu J., and Bell P. M., Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic pressure, J. Geophys. Res., 91, 1986, 4673-4676.
Matsui M., Molecular dynamics study of MgSiO 3 perovskite, Phys. Chem. Miner., 16, 1988, 234-238.
Matsui M., Molecular dynamics study of the structural and thermodynamic properties of MgO crystal with quantum correction, J. Chem. Phys., 91, 1989, 489-494.
Matsui M., Akaogi M., and Matsumoto T., Computational model of the structural and elastic properties of the ilmenite and perovskite phases of MgSiO 3, Phys. Chem. Miner., 14, 1987, 101-106.
Matsui M., and Price G. D., Simulation of the pre-melting behavior of MgSiO 3 perovskite at high pressures and temperatures, Nature, 351, 1991, 735-737.
McMillan P. F., and Ross N. L., Heat capacity calculations for Al2O3 corundum and MgSiO3 ilmenite, Phys. Chem. Miner., 14, 1987, 225-234.
McQueen R. G., Shock Waves in Condensed Media: their Properties and the Equation of State of Materials Derived from them, In: High-Pressrue Equations of State: Theory and Applications, Proc.Int. "E. Fermi" 1989 Summer School, ed. by S. Eliezer, R. A. Ricci, North-Holland, Amsterdam, 1991, 101-216.
McQueen R. G., Marsh S. P., Taylor J. W., Fritz J. N., and Carter W. J., The equation of state from shock wave studies, In: High-Velocity Impact Phenomena, ed. by R. Kinslow, Academic, New York, 1970, 293-417.
Mijmoto M., and Takeda H., An attempt to simulate high pressure structures of Mg-silicates by an energy minimization method, Am. Miner., 69, 1984, 711-718.
Morse P.M., Thermal physics, Second ed., Benjamin, New York, 1969.
Mulargia F., Is the common definition of the Mie-Grüneisen equation of state inconsistent? Geophys. Res. Lett., 4, 1977, 590-593.
Mulargia F., On the derivation of the Grüneisen parameter from seismic data, Lett. Nuovo Cimento, 21, 1979, 513-519.
Mulargia F., and Boschi E., The Problem of the Equation of State in the Earth's Interior, In: Proc. Int. "E. Fermi" 1979 Summer School, Dziewonski A., Boschi E. (eds), North-Holland, Amsterdam, 1980, 337-367.
Mulargia F., and Broccio F., On the reduction of experimental thermodynamic data to constant configuration, Boll. Geofis. Teor. Applicata, 25, 1983, 113-118.
Mulargia F., Broccio F., and Dragoni M., On the temperature dependence of the Grüneisen function, Boll. Geofis. Applicata, 26, 1984, 229-236.
Murnaghan F.D., Finite deformation of an elastic solid, Wiley, New York, 1951.
Navrotsky A., Thermochemistry of perovskites, In: Perovskite, ed. by A. Navrotsky and D. J. Weidner, Amer. Geophys. Un., Washington, D.C., 1989, 67-80.
Navrotsky A., and Akaogi M., The a, b, t phase relations for Fe2SiO4 - Mg2SiO4 and Co2SiO4 - Mg2SiO4: calculations of phase diagrams, thermochemical data and geophysical applications, J. Geophys. Res., 89, 1984, 10,135-10,140.
Navrotsky A., and Weidner D. J., (eds), Perovskite: A Structure of Great Interest to Geophysics and Materials Science. Washington, D.C., Am. Geophys. Un., 1989, 146 pp.
Ohtani E., Kumazawa M., Kato T., and Irifune T., Melting of Various Silicates at Elevated Pressures, In: High-Pressrue Research in Geophysics, ed. by S. Akimoto, M. H. Manghnani, Tokyo, Acad. Publ., 1982, 259-269.
O'Neill B., Bass J. D., Smyth J. B., and Vaughan M. T., Elasticity of grossular-pyrope-almandine garnet, J. Geophys. Res., 94, 1989, 17,819-17,824.
Palciauskas V. V., Volume dependence of the vibrational free energy, Geophys. Res. Lett., 2, 1975, 317-319.
Pankov V. L., On volume dependence of the Grüneisen parameter, Report on the Internarional High-Pressure Conference, Mischkolz University, Hungary, 1983, October 24-29.
Pankov V. L., and Ullmann W., A comparative method for various approaches to the isothermal equations of state, PAGEOPH, 117, 1979a, 1001-1010.
Pankov V. L., and Ullmann W., On the interrelation between adiabat and Hugoniot curves through Grüneisen parameter, Gerlands Beitr. Leiptig, 88, 1979b, 433-452.
Parise J. B., Wang Y., Yeganeh-Haeri A., Cox D. E., and Fei Y., Crystal structure and thermal expansion of (Mg,Fe)SiO 3 perovskite, Geophys. Res. Lett., 17, 1990, 2089-2092.
Pastine D. J., Formulation of the Grüneisen parameter for monoatomic cubic crystals, Phys. Rev., 138, 1965, A767-A770.
Pitzer K. S., and Brewer L., (eds), Thermodynamics, McGraw-Hill, New York, 1961.
Plymate, Phys. Chem. Minerals, 17, 1990.
Polyakov V. B., and Kuskov O. L., Quasi-harmonic model for calculation of the thermodynamic properties of minerals under high P - T conditions, Terra abstracts: Vol.5, (Supplement No.1), 1993, 496-497.
Price G. D., Wall A., and Parker S. C., The properties and behavior of mantle minerals: a computer simulation approach, Philos. Trans. R. Soc. London Ser., A328, 1989, 391-407.
Quareni F., and Mulargia F., The validity of the common approximate expressions for the Grüneisen parameter, Geophys. J., 93, 1988, 505-519.
Quareni F., and Mulargia F., The Grüneisen parameter and adiabatic gradient in the Earth's interior, Phys. Earth Planet. Inter., 55, 1989, 221-233.
Reynard B., and Price G. D., Thermal expansion of mantle materials at high pressure - a theoretical study, Geophys. Res. Lett., 17, 1990, 689-693.
Reynard B., Price G. D., and Gillet Ph., Thermodynamic and anharmonic properties of forsterite, a - Mg2SiO4: computer modelling versus high-pressure and high-temperature measurements, J. Geophys. Res., 97, 1992, 19,791-19,802.
Rice M. H., Pressure-volume relations for the alkali metals from shock-wave measurements, J. Phys. Chem. Solids, 26, 1965, 483-492.
Richet P., and Fiquet G., High-temperature heat capacity and premelting of minerals in the system MgO-CaO-Al2O3 - SiO2, J. Geophys. Res., 96, 1991, 445-456.
Richet P., Gillet Ph., and Fiquet G., Thermodynamic properties of minerals: macroscopic and microscopic approaches, Adv. Phys. Geochem., 10, 1992, 98-131.
Richet P., Mao H.-K., and Bell P. M., Bulk moduli of magnesiowüstite from static compression measurements, J. Geophys. Res., 94, 1989, 3037-3045.
Richet P., Xu J.-A., and Mao H.-K., Quasi-hydrostatic compression of ruby to 500 kbar, Phys. Chem. Miner., 16, 1988, 207-211.
Ridgen S.M., Jackson I., Niesler H., Ringwood A. E., and Liebermann R. C., Pressure dependence of the elastic wave velocities for Mg2SiO4 spinel to 3 GPa, Geophys. Res. Lett., 15, 1988, 605-608.
Ringwood A. E., Composition and Petrology of the Earth's Mantle, McGraw-Hill, New York, 1975.
Robie R. A., Hemingway B. S., and Fisher J. R., Thermodynamic properties of minerals and related substances at 298.15 K and 1 bar (105 Pascals) pressure and at high temperatures, US Geol. Surv. Bull., 1979, 1452, 456 pp.
Robinson G. R., Haas J. L., Schafer C. M., and Hasselton H. T., Thermodynamic and thermophysical properties of selected phases in the MgO - SiO2 - H2O - CO2, CaO - Al2O3 - SiO2 - H2O - CO2 and Fe-FeO-Fe2O3 - SiO2 chemical systems, with special emphasis on the properties of basalts and their mineral components, US Department of the Interior Geological Survey, Open-File Report 83-79, 1982, 429 pp.
Rosenhauer M., Mao H.-K., and Woermann E., Compressibility of magnesiowüstite (Fe 0.4 Mg 0.6 )O to 264 kbar, Carnegie Inst. Washington Yearb., 75, 1976, 513-515.
Ross N. L., and Hazen R. M., Single crystal X-ray diffraction study of MgSiO 3 perovskite from 77 to 400 K, Phys. Chem. Miner., 16, 1989, 415-420.
Ross N. L., and Hazen R. M., High-pressure crystal chemistry of MgSiO 3 perovskite, Phys. Chem. Miner., 17, 1990, 228-237.
Ross N. L., Shu J. F., and Hazen R. M., High-pressure crystal chemistry of stishovite, Am. Miner., 75, 1990, 739-747.
Sato Y., Akaogi M., and Akimoto S., Hydrostatic compression of the synthetic garnets pyrope and almandine, J. Geophys. Res., 83, 1978, 335-338.
Sawamoto H., Phase diagram of MgSiO 3 at pressures up to 24 GPa and temperatures up to 2200 K: phase stability and properties of tetragonal garnet, In: High-Pressure Research in Mineral Physics. Terra Publ., ed. by M. N. Manghnani, Y. Syono, Tokyo, 1987, 209-211.
Sawamoto H., and Khozaki M., Garnet-like MgSiO 3 and constitution of the upper mantle, In: The First USSR-Japan Symposium on Phase Transformation at High Pressures and High Temperatures, Listvyanka-on-Baikal, 1985, 48-50.
Sawamoto H., Khozaki M., Tanaka S., Fujimura A., and Akamatue T., Fine measurements of compressibility for b - and g -Mg 2 SiO 4 at pressure up to 6 GPa using synchrotron radiation (abstract), IUGG Abstracts, Vol. 1, p. 347. I.U.G.G. Publication Office, Paris, 1987.
Sawamoto H., Weidner D. J., Sasaki S., and Kumazawa M., Single-crystal elastic properties of the modified spinel (beta) phase of Mg2SiO4, Science, 224, 1984, 749-751.
Saxena S. K., Assessment of thermal expansion, bulk modulus, and heat capacity of enstatite and forsterite, J. Phys. Chem. Solids, 49, 1988, 1233-1235.
Saxena S. K., Assessment of bulk modulus, thermal expansion and heat capacity of minerals, Geochim. Cosmochim. Acta, 53, 1989, 785-789.
Schankland T. J., and Chung D. H., General relationships among sound speeds, Phys. Earth Planet. Inter., 8, 1974, p. 121.
Schwab J. A., and Graham E. K., Pressure and temperature dependence of the elastic properties of fayalite (abstract), EOS Trans. AGU, 64, 1983, p. 847.
Silvi B., Bouaziz A., and D'Arco Ph., Pseudo-potential periodic Hartree-Fock study of Mg2SiO4 polymorphs: olivine, modified spinel and spinel, Phys. Chem. Miner., 1993, p. 333.
Sinha B. K., and Tiersten H. F., First temperature derivatives of the fundamental elastic constants of quartz, J. Appl. Phys., 50, 1979, 2732-????.
Slater J. C., Introduction to Chemical Physics, McGraw-Hill, New York, 1939.
Smith C. S., and Cain L. S., Temperature derivatives at constant volume of the elastic constants of the alkali halides, J. Phys. Chem. Solids, 41, 1980, 199-203.
Sobolev S. V., and Babeyko A. Yu., Phase transition in the continental lower crust and its seismic structure, In: Properties and Processes of the Earth's lower crust, Mereu et al. (eds), Geophys. Monogr., 51, IUGG, Vol. 6, 1989.
Soga N., The temperature and pressure derivatives of isotropic sound velocities of a -quartz, J. Geophys. Res., 73, 1968, 827-829.
Son P. R., and Bartels B. A., CaO and SrO single crystal elastic constants and their pressure derivatives, J. Phys. Chem. Solids, 33, 1972, 819-828.
Spetzler H., Equation of state of poly-crystalline and single-crystal MgO to 8 kilobars and 800 K, J. Geophys. Res., 75, 1970, 2073-2087.
Stacey F. D., Application of thermodynamics to fundamental Earth Physics, Geophys. Surveys, 3, 1977a, 175-204.
Stacey F. D., A thermal model of the Earth, Phys. Earth Planet. Inter., 15, 1977b, 341-348.
Stacey F. D., Finite strain theories and comparisons with seismological data, Gophys. Surveys, 4, 1981, 189-232.
Sumino Y., and Anderson O. L., Elastic constants of minerals, In: Handbook of Physical Properties of Rocks, VIII, ed. by R. S. Carmichael, CRC, Boca Raton, Fl, 1984, 39-137.
Sumino Y. Anderson O. L., and Suzuki I., Tmeperature coefficients of single crystal MgO between 80 and 1300 K, Phys. Chem. Miner., 9, 1983, 38-47.
Suzuki I., Thermal expansion of periclase and olivine and their anharmonic properties, J. Phys. Earth, 23, 1975a, 145-159.
Suzuki I., Cell parameters and linear thermal expansion coefficients of orthopyroxenes, J. Seismol. Soc. Jpn., 28, 1975b, 1-9.
Suzuki I., and Anderson O. L., Elasticity and thermal expansion of a natural garnet up to 1000 K, J. Phys. Earth, 31, 1983, 125-138.
Suzuki I., Ohtani E., and Kumazawa M., Thermal expansion of modified spinel, b - Mg2SiO4, J. Phys. Earth, 28, 1980, 273-280.
Suzuki I., Ohtani E., and Kumazawa M., Thermal expansion of g -Mg2SiO4, J. Phys. Earth, 27, 1979a, 53-61.
Suzuki I., Okajima Sh., and Seya K., Thermal expansion of single-crystal manganosite, J. Phys. Earth, 27, 1979b, 63-69.
Svendsen B., and Ahrens T. J., Shock-induced temperature of MgO, Geophys. J. I., 91, 1987, 667-691.
Tequi C., Robie R. A., Hemingway B. S., Neuville D., and Richet P., Melting and thermodynamic properties of pyrope (Mg3Al2Si3O12 ), Geochim. Cosmochim. Acta, 55, 1991, 1005-1010.
Thomsen L., On the fourth-order anharmonic equation of state of solids, J. Phys. Chem. Solids, 31, 1970, 2003-2016.
Thomsen L., Equations of State and the Interior of the Earth, In: Mantle and Core in Planetary Physics (Proc. Int. School of Physics "Enriko Fermi"), J. Coulomb, M. Caputo (eds), New York, 1971, 94-133.
Tsuchida Y., and Yagi T., A new, post-stishovite high-pressure polymorphs of silica, Nature, 340, 1989, 217-220.
Ullmann W., On thermal features within the transition zone, Phys. Earth Planet. Inter., 42, 1986, 154-164.
Ullmann W., and Pankov V.L., A new structure of the equation of state and its application in high-pressure physics and geophysics, Veröffentliche des ZIPE, Potsdam, Nr. 41, 1976.
Ullmann W., and Pankov V. L., Application of the Equation of State to the Earth's Lower Mantle, Phys. Earth Planet. Inter., 22, 1980, 194-203.
Vaschenko V. Y., and Zubarev V. N., Concerning the Grüneisen constant, Sov. Phys.-Solid State (English transl.), 5, 1963, 653-655.
Vassiliou M. S., and Ahrens T. J., Hugoniot equation of state of periclase to 200 GPa, Geophys. Res. Lett., 8, 1981, 229-232.
Vinet P., Ferrante J., Rose J. H., and Smith J. R., Compressibility of solids, J. Geophys. Res., 92, 1987, 9319-9325.
Wall A., Parker S. C., and Watson G. W., The extrapolation of elastic moduli to high pressure and temperature, Phys. Chem. Miner., 20, 1993, 69-75.
Wall A., and Price G. D., Computer simulation of the structure, lattice dynamics and thermodynamics of ilmenite-type MgSiO3, Am. Miner., 73, 1988, 224-231.
Wall A., Price G. D., and Parker S. C., A computer simulation of the structure and elastic properties of MgSiO3 perovskite, Mineral. Mag., 50, 1986, 693-707.
Wallace D. C., Thermodynamics of crystals, John Wiley, New York, 1972.
Walzer U., The application of a pseudopotential approach to the physics of binary intermetallic compounds, High Temperature-High Pressure, 24, 1992, 23-34.
Walzer U., Ullmann W., and Pankov V. L., Comparison of Some Equations of State Theories by Using Experimental High Compression Data, Phys. Earth Planet. Inter., 18, 1979, 1-12.
Wang Y., Weidner D. J., Liebermann R. C., Liu X., Ko J., Vaughan T., Zhao Y., Yeganeh-Haeri A., and Pacalo R. E., Phase transition and thermal expansion of perovskite, Science, 251, 1991, 410-413.
Watanabe H., Thermochemical properties of synthetic high-pressure compounds relevant to the Earth's mantle, In: High-Pressure Research in Geophysics, Akimoto S. and Manghnani M.H. (eds). Center Acad. Publ. Japan, Tokyo, 1982, 441-464.
Webb S. L., Elasticity of the upper mantle orthosilicates, olivine and garnet, Phys. Chem. Miner., 16,, 1989, 684-692.
Webb S. L., and Jackson I., The anomalous pressure dependence of the elastic moduli for single-crystal orthopyroxene (abstract), EOS Trans. AGU, 66, 1985, p. 371.
Weidner D. J., A mineral physics test of a pyrolite mantle, Geophys. Res. Lett., 12, 1985, 417-420.
Weidner D. J., Bass J. D., Ringwood A. E., and Sinclair W., The single-crystal elastic moduli of stishovite, J. Geophys. Res., 87, 1982, 4740-4746.
Weidner D. J., and Carleton H., Elasticity of coesite, J. Geophys. Res., 82, 1977, 1334-1346.
Weidner D. J., and Hamaya N., Elastic properties of the olivine and spinel polymorphs of Mg2GeO4 and elevation of elastic analogues, Phys. Earth Planet. Inter., 33, 1983, 275-283.
Weidner D. J., and Ito E., Elasticity of MgSiO3 in the ilmenite phase, Phys. Earth Planet. Inter., 40, 1985, 65-70.
Weidner D. J., Sawamoto H., Sasaki S., and Kumasawa M., Single-crystal elastic properties of the spinel phase of Mg2SiO4, J. Geophys. Res., 89, 1984, 7852-7860.
Weidner D. J., Wang H., and Ito J., Elasticity of orthoenstatite, Phys. Earth Planet. Inter., 17, 1978, 7-13.
Weidner D. J., Yeganeh-Haeri A. and Ito E., Elastic properties of majorite (abstract), EOS Trans. AGU, 68, 1987, p. 410.
White G. K., and Roberts R. B., Thermal expansion of reference materials: Tungsten and a - Al2O3, High Temperature-High Pressure, 15, 1983, 321-328.
Will G., Hoffman W., Hinze E., and Lauterjung J., The compressibility of forsterite up to 300 kbar measured with synchrotron radiation, Physica, 139, 140B, 1986, 193-197.
Williams Q., Jeanloz R., and McMillan P., Vibrational spectrum of MgSiO 3 perovskite: zero-pressure Raman and mid-infrared spectra to 27 GPa, J. Geophys. Res., 92, 1987, 8116-8128.
Williams Q., Knittle E., and Jeanloz R., Geophysical and crystalchemical significance of (Mg,Fe)SiO3 perovskite, In: Perovskite, ed. by A. Navrotsky and D. J. Weidner, Am. Geophys. Union, Washington, D.C., 1989.
Winkler B., and Dove M. T., Thermodynamic properties of MgSiO3 perovskite derived from large scale molecular simulations, Phys. Chem. Miner., 18, 1992, 407-415.
Wolf G. H., and Bukowinsky M. S. T., Theoretical study of the structural properties and equations of state of MgSiO3 and CaSiO3 perovskites: Implications for lower mantle composition, In: High-Pressure Research in Mineral Physics, Geophys. Monogr. Ser., Vol. 39, ed. by M. H. Manghnani and Y. Syono, AGU, Washington, D.C., 1987, 313-331.
Wolf G. H., and Bukowinsky M. S. T., Variational stabilization of the ionic charge densities in the electronic-gas theory of crystals: Application to MgO and CaO, Phys. Chem. Miner., 15, 1988, 209-220.
Wolf G. H., and Jeanloz R., Lattice dynamics and structural distortions of CaSiO3 and MgSiO3 perovskite, Geophys. Res. Lett., 12, 1985, 413-416.
Write K., and Price G.D., Computer simulation of iron in magnesium silicate perovskite, Geophys. Res. Lett., 16, 1989, 1399-1402.
Yagi T. H., Mao K., and Bell P. M., Structure and crystal chemistry of perovskite-type MgSiO3, Phys. Chem. Miner., 3, 1978, 97-110.
Yagi T. H., Mao K., and Bell P. M., Hydrostatic compression of perovskite-type MgSiO3, In: Advances on Physical Geochemistry, vol.2, ed. by S. K. Saxena, Springer-Verlag, New York, 1982, 317-325.
Yagi T., Akaogi, Shimamura O., and Akimoto S., High pressure and high temperature equation of state of majorite, In: High Pressure Research in Mineral Physics, ed. by M. Manghnani and Y. Syono, AGU, Washington, D.C., 1987, 141-147.
Yeganeh-Haeri A., and Vaughan M. T., Single-crystal elastic constants of olivine (abstract), EOS Trans. AGU, 65, 1984, p. 282.
Yeganeh-Haeri A., Weidner D. J., and Ito E., Elasticity of MgSiO3 in the perovskite structure, Science, 248, 1989a, 787-789.
Yeganeh-Haeri A., Weidner D. J., and Ito E., Single crystal elastic moduli of magnesium metasilicate perovskite, In: Perovskite: A Structure of Great Interest to Geophysics and Materials Science, A. Navrotsky, D. J. Weidner (eds), Washington, D.C., Am. Geophys. Union, 1989b, 13-25.
Yoneda A., Pressure derivatives of elastic constants of single crystal MgO and MgAl2SiO4, J. Phys. Earth, 38, 1990, 19-55.
Yuen D. A., Leitch A. M., and Hansen V., Dynamical influences of pressure-dependent thermal expansivity on mantle convection, In: Glacial Isostasy, Sea Level and Mantle Rheology, R. Sabadini et al. (eds), Kluwer Academic Publishers, Netherlands, 1991, 663-701.
Yuen D. A., Quareni F., and Fong H.-J., Effects from equation of state and rheology in dissipative heating in compressible mantle convection, Nature, 326, 1987, 67-69.
Zharkov V. N., Internal Structure of Earth and Planets, Harwood, New York, 1986, 436 pp.