BIBLIOGRAPHY. Elastic Properties and Equations of State 543

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1 BIBLIOGRAPHY The publications listed below are intended to be entry points for those seeking detailed information on elasticity and equations of state of minerals and a few related compounds. The list is necessarily incomplete, as the reader whose favorite article has been omitted will soon discover. Also neglected were closely-related papers such as ones on high-pressure phase relations. For better accessibility the list has been separated into subheadings; the reader is encouraged to look under different subheadings for reference material because very few papers were cross-referenced. Equations of State & Gruneisen Parameter Aggarwal, M. D., and J. K. D. Verma, Gruneisen constant of some elements, Indian J. Pure Appl. Phys., 9, 263, Anderson, 0. L., A simplified method for calculating the Debye temperature from elastic constants, J. Phys. Chem. Solids, 24, , Anderson, 0. L., The use of ultrasonic measurements under modest pressure to estimate compression at high pressure, J. Phys. Chem. Solids, 27, , Anderson, 0. L., Derivation of Wachtman's equation for the temperature dependence of elastic moduli of oxide compounds, Phys. Rev., 144, , Anderson, 0. L., Equation for thermal expansivity in planetary interiors, J. Geophys. Res., 72, , Anderson, 0. L., Comments on the negative pressure dependence of the shear modulus found in some oxides, J. Geophys. Res., 73, , Anderson, 0. L., Some remarks on the volume dependence of the Gruneisen parameter, J. Geophys. Res., 73, , Anderson, 0. L., The determination of the volume dependence of the Gruneisen parameter y, J. Geophys. Res., 79, , Anderson, 0. L., Evidence supporting the approximation yp = const for the Gruneisen parameter of the Earth's lower mantle, J. Geophys. Res., 84, , Anderson, 0. L., The Hildebrand equation of state for minerals relevant to geophysics, Phys. Chem. Miner., 5, 33-51, Anderson, 0. L., The high-temperature acoustic Gruneisen parameter in the Earth's interior, Phys. Earth Planet. Inter., 18, , Anderson, 0. L., An experimental high-temperature thermal equation of state bypassing the Gruneisen parameter, Phys. Earth Planet. Inter., 22, , Anderson, 0. L., Are anharmonicity corrections needed for temperature-profile calculations of interiors of terrestrial planets?, Phys. Earth Planet. Inter., 29, , Anderson, 0. L., A universal thermal equationof-state, J. Geodynam., 1, , Anderson, 0. L., and S. Yamamoto, The 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, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Anderson, 0. L., R. Boehler, and Y. Sumino, Anharmonicity in the equation of state at high temperature for some geophysically important solids, in High-Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp , Center for Academic Publications Japan, Tokyo and Reidel, Dordrecht, Barton, M. A., and F. D. Stacey, The Gruneisen parameter at high pressure: a molecular dynamical study, Phys. Earth Planet. Inter., 39, , Birch, F., Thermal expansion at high pressures, J. Geophys. Res., 73, , Birch, F., Isotherms of the rare gas solids, J. Phys. Chem. Solids, 38, , Boehler, R., and G. C. Kennedy, Pressure dependence of the thermodynamical Gruneisen parameter of fluids, J. Appl. Phys., 48, , Boehler, R., and J. Ramakrishnan, Experimental results on the pressure dependence of the Gruneisen parameter: a review, J. Geophys. Res., 85, , Boschi, E., and M. Caputo, Equations of state for silicates in the metallic form, Pure Appl. Geophys., 101, 5-9, Boschi, E., and M. Caputo, Shell structure on the Thomas-Fermi-Dirac model for an equation of state at pressures of geophysical interest, in Mantel and Core in Planetary Physics, pp , Academic, New York, Brennan, B. J., and F. D. Stacey, A thermodynamically based equation of state for the lower mantle, J. Geophys. Res., 84, , Brugger, K., and T. C. Fritz, Gruneisen gamma from elastic data, Phys. Rev., 157, , Chang, Y. A., On the temperature dependence of the bulk modulus and Anderson-Gruneisen parameter 6 of oxide compounds, J. Phys. Chem. Solids, 28, , Clark, Jr., S. P., Remarks on thermal expansion, J. Geophys. Res., 74, , Couchman, P. R,, and C L. Reynolds, Jr., Limiting low temperature value of the Gruneisen parameter for metals, J. Phys. Chem. Solids, 36, 834, Dass, N., and M. Kumari, Derivation of some equations of state for solids: a new approach, Phys. Status Solidi, 127, 103, Decker, D. L., The effect of the Gruneisen parameter on the Decker equation of state of NaCl, J. Phys. Chem. Solids, 40, 247, Elastic Properties and Equations of State 543

2 Delannoy, M., and G. Perrin, On the determination of the volume dependence of Gruneisen parameters in cubic and non-cubic solids, J. Phys. Solids, 41, 11-16, Demarest, Jr., H. H., R. Ota, and 0. L. Anderson, Prediction of high pressure phase transitions by elastic constant data, in High-Pressure Research, Applications in Geophysics, edited by M. H. Manghnani and S. Akimoto, pp , Academic, New York, Demarest, Jr., H. H., and C. R. Cassell, and M. A. Dunn, Comment on "On the theoretical evaluation of the Gruneisen function in the harmonic approximation" by Francesco Mulargia, J. Geophys. Res., 85, , Falzone, A. J., and F. D. Stacey, Second-order elasticity theory: -explanation for the high Poisson's ratio of the inner core, Phys. Earth Planet. Inter., 21, , Fisher, E. S., and M. H. Manghnani, Effect of axial ratio changes on the elastic moduli and Gruneisen y for lower symmetry crystals, J. Appl. Phys., 41, , Fritz, T. C., and R. N. Thurston, Extrapolation formula for findiag the volume of solids at high pressures, J. Geophys. Res., 75, , Gilvarry, J. J., Temperature-dependent equations of state of solids, J. Appl. Phys., 28, , Gilvarry, J. J., Temperature correction of Birch's equation of state, J. Appl. Phys., 33, , Guillermet, A. F., The pressure dependence of the expansivity and of the Anderson-Gruneisen parameter in the Murnaghan approximation, J. Phys. Chem. Solids, 47, , Gruneisen, E., The state of a solid body, translation of Zustand des festen Korpers, in Handbuch der Phys., vol. 10, pp. 1-52, 1926, translated by National Aeronautics and Space Administration (NASA), Washington, Hardy, R. J., and A. M. Karo, Volume dependence of the Gruneisen y and other thermodynamic properties of NaCl, J. Phys. Chem. Solids, 38, , Hardy, R. J., Temperature and pressure dependence of intrinsic anharmonic and quantum corrections to the equation of state, J. Geophys. Res., 5, , Holt, A. C, and M. Ross, Calculations of the Gruneisen parameter for some models of the solid, Phys. Rev. B: Sol. State, 1, , Huang, Y. K., Simple model for solids under pressure, J. Phys. Chem. Solids, 38, 1-3, Irvine, R. D., and F. D. Stacey, Pressure dependence of the thermal Gruneisen parameter with application to the Earth's lower mantle and outer core, Phys. Earth Planet. Inter., 11, , Jeanloz, R., and M. Roufosse, Anharmonic properties: ionic model of the effects of compression and coordination change, J. Geophys. Res., 87, , 772, Kieffer, S. W., Thermodynamics and lattice vibrations of minerals: 1. Mineral heat capacities and their relationships to simple lattice vibrational models, Rev. Geophys. Space Phys., 17, 1-19, Kieffer, S. W., Thermodynamics and lattice vibrations of minerals: 2. Vibrational characteristics of silicates, Rev. Geophys. Space Phys., 17, Kieffer, S. W., Thermodynamics and lattice vibrations of minerals: 3. Lattice dynamics and an approximation for minerals with application to simple substances and framework silicates, Rev. Geophys. Space Phys., 17, 35-59, Kieffer, S. W., Thermodynamics and lattice vibrations of minerals: 4. Application to chain and sheet silicates and orthosilicates, Rev. Geophys. Space Phys., 18, , Kieffer, S. W., Thermodynamics and lattice vibrations of minerals: 5. Applications to phase equilibria, isotopic fractionation, and high-pressure thermodynamic properties, Rev. Geophys. Space Phys., 20, , Knopoff, L., Solids: Equation of state of solids at moderately high pressures, in High Pressure Physics and Chemistry, vol. 1, edited by R. S. Bradley, pp , Academic, New York, Knopoff, L., Equations of state of matter at ultra-high pressures, in High Pressure Physics and Chemistry, vol. 1, edited by R. S. Bradley, pp , Academic, New York, Knopoff, L., and J. N. Shapiro, Comments on the interrelationships between Gruneisen's parameter and shock and isothermal equations of state, J. Geophys. Res., 74, , Macdonald, J. R., Some simple isothermal equations of state, Rev. Mod. Phys., 38, , Macdonald, J. R., Review of some experimental and analytical equations of state, Rev. Mod. Phys., 41, , Macdonald, J. R., and D. R. Powell, Discrimination between equations of state, J. Res. NBS, 75A, , Madan, M. P., Mode-Gruneisen parameters of alkali halides, J. Appl. Phys., 44, , Mao, N., Empirical equation of state for high compression, J. Geophys. Res., 75, , Merchant, H. D., K. K. Srivastava, and H. D. Pandey, Equations of state and thermal expansion of alkali halides, in CRC Critical Reviews in Sol. State Sciences, pp , CRC Press, Boca Raton, Mitra, S.S., and S. K. Joshi, Debye G and compressibility. III. Cubic metals, Physica, 27, , Mulargia, F., Is the common definition of the Mie-Gruneisen equation of state inconsistent?, Geophys. Res. Lett., 4, , Mulargia, F., On the theoretical evaluation of the Gruneisen function in the harmonic approximation, J. Geophys. Res., 83, , Mulargia, F., Reply, J. Geophys. Res., 85, , Munro, R. G., S. Block, and G. J. Piermarini, Reliability of the isothermal bulk modulus deduced from model equations of state, J. Appl. Phys., 56, , Palciauskas, V. V., Volume dependence of the vibrational free energy, Geophys. Res. Lett., 2, , Palciauskas, V. V., The volume dependence of the 544 Elastic Properties and Equations of State

3 Gruneisen parameter and crystal stability, J. Phys. Chem. Solids, 36, , Pastine, D. J., On the accuracy of the Wachtman- Anderson relation, J. Geophys. Res., 75, , Prieto, F. E., and C. Renero, The equation of state of solids, J. Phys. Chem. Solids, 37, , Ramakrishnan, J., R. Boehler, G. H. Higgins, and G. C. Kennedy, Behavior of Gruneisen's parameter of some metals at high pressures, J. Geophys. Res., 83, , Rao, R. R., Anderson-Gruneisen parameter 6 from third order elastic constants data for some cubic compounds, Phys. Lett., 48A, , Rao, R. R., Anderson-Gruneisen parameter 6 of some hexagonal metals and MgO from third-order elastic constant data, Phys. Rev. B: Sol. State, 10, , Romain, J. P., A. Migault, and J. Jacquesson, Relation between the Gruneisen ratio and the pressure dependence of Poisson's ratio for metals, J. Phys. Chem. Solids, 37, , Shaw, G. H., Elastic behavior near phase transitions, Physics and Chemistry of Minerals and Rocks, edited by R. G. J. Strens, pp , Wiley, London, Soga, N. and 0. L. Anderson, Simplified method for calculating elastic moduli of ceramic powder from compressibility and Debye temperature data, J. Am. Ceram. Soc, 49, , Steinberg, D. J., The temperature independence of Gruneisen's gamma at high temperature, J. Appl. Phys., 52, , Swenson, C.A., Equation of state of cubic solids: Some generalizations, J. Phys. Chem. Solids, 29, , Tallon, J. L., The thermodynamics of elastic deformation-i: Equation of state for solids, J. Phys. Chem. Solids, 41, , Thomsen, L., Elastic shear moduli and crystal stability at high P and T, J. Geophys. Res., 76, , Thomsen, L., and 0. L. Anderson, Consistency in the high-temperature equation of state of solids, Proc. Symp. on Accurate Characterization of the High-Pressure Environment, Gaithersburg, pp , Thomsen, L. and 0. L. Anderson, On the hightemperature equation of state of solids, J. Geophys. Res., 74, , Varshni, Y. P. Temperature dependence of the elastic constants, Phys. Rev. B, 2, , Walzer, U., A new equation of state for high compression, Phys. Earth Planet. Inter., 30, 62-83, Walzer, U., A new high-pressure equation of state for metals, High Temp.-High Press., 16, , Walzer, U., Two equations of state for metals, halides, and oxides, Gerlands Beitr. Geophysik, 93, 37-52, Williams, D. E. G., The low temperature limits of electronic Gruneisen parameters, J. Phys. Chem. Solids, 37, 348, Wolf, G. H., and R. Jeanloz, Vibrational properties of model monatomic crystals under pressure, Phys. Rev. B: Sol. State, 32, 7798, Experimental Techniques: Acoustics Anderson, D. L., R. A. Phinney, and C. G. Sammis, Brillouin scattering - a new geophysical tool, in Applications of Modern Physics to the Earth and Planetary Interiors, pp , edited by S. K. Runcorn, Wiley Interscience, New York, Bancroft, D., The velocity of longitudinal waves in cylindrical bars, Phys. Rev., 59, , Bassett, W. A., and E. M. Brody, Brillouin scattering: a new way to measure elastic moduli at high pressures, in High-Pressure Research, Applications in Geophysics, edited by M. H. Manghnani and S. Akimoto, pp , Academic, New York, Birch, F., The velocity of compressional waves in rocks to 10 kilobars, part 1, J. Geophys. Res., 65, , Chung, D. H., The elastic constants of a cubic crystal subjected to moderately high hydrostatic pressure, J. Phys. Chem. Solids, 29, , Cook, R. K., Variation of elastic constants and static strains with hydrostatic pressure: a method for calculation from ultrasonic measurements, J. Acoust. Soc. Am.', 29, , Davies, G. F., and R. J. O'Connell, Transducer and bond phase shifts in ultrasonics, and their effects on measured pressure derivations of elastic moduli, in High-Pressure Research, Applications in Geophysics, edited by M. H. Manghnani and S. Akimoto, pp , Academic, New York, Ito, H., H. Mizutani, K. Ichinose, and S. Akimoto, Ultrasonic wave velocity measurements in solids under high pressure using solid pressure media, in High-Pressure Research, Applications in Geophysics, edited by M. H. Manghnani and S. Akimoto, pp , Academic, New York, Liebermann, R. C, A. E. Ringwood, D. J. Mayson, and A. Major, Hot-pressing of polycrystalline aggregates at very high pressure for ultrasonic measurements, Proc. 4th Inter. Conf. High Pressure, pp , Kyoto, Mattaboni, P., and E. Schreiber, Method of pulse transmission measurements for determining sound velocities, J. Geophys. Res., 72, , McSkimin, J. H., Pulse superposition method for measuring ultrasonic wave velocities in solids, J. Acoust. Soc. Am., 33, 12-16, McSkimin, J. H., Ultrasonic methods for measuring the mechanical properties of liquids and solids, in Physical Acoustics, vol. 1A, pp , Academic, New York, McSkimin, H. J., Variations of the ultrasonic pulse-superposition method for increasing the sensitivity of delay-time measurements, J. Acoust. Soc. Am., 37, , McSkimin, H. J., and P. Andreatch, Analysis of the pulse superposition method for measuring ultrasonic wave velocities as a function of temperature and pressure, J. Acoust. Soc. Am., 34, , Elastic Properties and Equations of State 545

4 Neighbours, J. R., and G. E. Schacher, Determination of elastic constants from sound-velocity measurements in crystals of general symmetry, J. Appl. Phys., 38, , Ohno, I., Free vibration of a rectangular parallelepiped crystal and its application to determination of elastic constants of orthorhombic crystals, J. Phys. Earth, 24, , Ohno, I., S. Yamamoto, 0. L. Anderson, and J. Noda, Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method, J. Phys. Chem. Solids, 47, , Peselnick, L., The differential path phase comparison method for determining pressure derivatives of elastic constants of solids, J. Geophys. Res., 87, , Thurston, R. N., Ultrasonic data and the thermodynamics of solids, Proc. IEEE, 53, , Truell, R., C. Elbaum, and B. B. Chick, Ultrasonic Methods in Solid State Physics, 464 pp., Academic, New York, Weidner, D. J., Elastic properties of rocks and minerals, in Geophysics: Part A Laboratory Measurements, Methods of Experimental Physics, vol, 24, edited by C G. Sammis and T. L. Henyey, pp. 1-30, Academic, New York, Weidner, D. J., K. Swyler, and H. R. Carleton, Elasticity of microcrystals, Geophys. Res. Lett., 2, , Experimental Techniques: Static Compression Barnett, J. D., S. Block, and G. J. Piermarini, An optical fluorescence system for quantitative pressure measurement in the diamond-anvil cell, Rev. Sci. Instr., 44, 1-9, Bass, J. D., R. C. Liebermann, D. J. Weidner, and S. J. Finch, Elastic properties from acoustic and volume compression experiments, Phys. Earth Planet. Inter., 25, , Bassett, W. A., and T. Takahashi, X-ray diffraction studies up to 300 kbar, in Advances in High-Pressure Research, vol. 4, edited by R. H. Wentorf, Jr., pp , Academic, New York, Bell, P. M., H. K. Mao, and J. A. Xu, Error analysis of parameter-fitting in equations of state for mantle minerals, in High-Pressure Research in Mineral Physics, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Boehler, R., M. Nicol, C. S. Zha, and M. L. Johnson, Resistance heating of Fe and W in diamond-anvil cells, Physica, 139 & 140B, , Finger, L. W., and H. King, A revised method of operation of the single-crystal diamond cell and refinement of the structure of NaCl at 32 kbar, Am. Mineral., 63, , Hazen, R. M., and L. W. Finger, High-temperature diamond-anvil pressure cell for single-crystal studies, Rev. Sci. Instrum., 52, 75-79, Jayaraman, A., Diamond anvil cell and highpressure physical investigations, Rev. Mod. Phys., 55, , Jeanloz, R., and D. L. Heinz, Experiments at high temperature and pressure: laser heating through the diamond cell, J. Physique, 45, C8-83, Kanzaki, M., K. Kurita, T. Fujii, T. Kato, 0. Shimomura, and S. Akimoto, A new technique to measure the viscosity and density of silicate melts at high pressure, in High-Pressure Research in Mineral Physics, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Keller, R., and W. B. Holzapfel, Diamond anvil device for x-ray diffraction on single crystals under pressures up to 100 kilobar, Rev. Sci. Instrum., 48, , Kikegawa, T., X-ray diamond anvil press for structural studies at high pressures and high temperatures, in High-Pressure Research in Mineral Physics, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Kinsland, G. L., and W. A. Bassett, Modification of the diamond cell for measuring strain and the strength of materials at pressures up to 300 kilobar, Rev. Sci. Instrum., 47, , Manghnani, M. H., E. F. Skelton, L. C. Ming, J. C. Jamieson, S. Qadi, D. Schiferl, and J. Balogh, Energy dispersive x-ray diffraction measurements at simultaneously high pressure and temperature using synchrotron radiation: Preliminary data on P(T) calibration and phase transformations in MnF and FeF2» in Physics of Solids Under High Pressure, edited by J. S. Schilling and R. N. Shelton, p. 47, North-Holland, Amsterdam, Mao, H. K., P. M. Bell, K. J. Dunn, R. M. Chrenko, and R. C. DeVries, Absolute pressure measurements and analysis of diamonds subjected to maximum static pressures of Mbar, Rev. Sci. Instrum., 50, , Mao, N., Some remarks on the redundancy checks for cubic crystals, J. Geophys. Res., 79, , Merrill, L., and W. A. Bassett, Miniature diamond anvil pressure cell for single crystal x-ray diffraction studies, Rev. Sci. Instrum., 45, , Mills, R. L., D. H. Liebenberg, J. C. Bronson, and L. C. Schmidt, Procedure for loading diamond cells with high-pressure gas, Rev. Sci. Instrum., 51, , Ming, L., and W. A. Bassett, Laser heating in the diamond anvil press up to 2000 C sustained and 3000 C pulsed at pressures up to 260 kilobars, Rev. Sci. Instrum., 45, , Ming, L. C, M. H. Manghnani, and J. Balogh, Resistive heating in the diamond-anvil cell under vacuum conditions, in High-Pressure Research in Mineral Physics, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Moss, W. C, J. 0. Hallquist, R. Reichlin, K. A. Goettel, and S. Martin, Finite element analysis 546 Elastic Properties and Equations of State

5 of the diamond anvil cell: Achieving 4.6 Mbar, Appl. Phys. Lett., 48, , Munro, R. G., S. Block, and G. J. Piermarini, Reliability 0 the isothermal bulk modulus deduced from model equations of state, J. Appl. Phys., 56, , Sato-Sorensen, Y., Measurements of the lifetime' of the ruby Rl line under high pressure, J. Appl. Phys., 60, , Schiferl, D., A. I. Katz, R. L. Mills, L. C. Schmidt, C. Vanderborgh, E. F. Skelton, W. T. Elam, A. W. Webb, S. B. Qadri, and M. Schaefer, A novel instrument for high-pressure research at ultra-high temperatures, physica, 139 & 140B, , Scott, C., and R. Jeanloz, Optical length determinations in the diamond-anvil cell, Rev. Sci. Instrum., 55, , Shimomura, 0., S. Yamaoka, T. Yagi, M. Wakatsuki, K. Tsuji, H. Kawamura, N. Hamaya, O. Fukunaga, K. Aoki, and S. Akimoto, Multi-anvil type x-ray system for synchrotron radiation, in Solid State Physics Under Pressure: Recent advances with anvil devices, edited by S. Minomura, pp , KTK and Reidel, Tokyo and London, Sung, C., New modification of the diamond anvil press: A versatile apparatus for research at high pressure and high temperature, Rev. Sci. Instrum., 47, , Sung, C., C. Goetze, and H. Mao, Pressure distribution in the diamond anvil press and the shear strength of fayalite, Rev. Sci. Instrum., 48, , Will, G., E. Hinze, and W. Nuding, Energydispersive x-ray diffraction applied to the study of minerals under pressure up to 200 kbar, in High-Pressure Researches in Geoscience, edited by W. Schreyer, pp , E. Schweizerbart'sche, Stuttgart, Experimental Techniques: Calibration Standards Bell, P. M., H. K. Mao, and K. A. Goettel, Ultrahigh pressure: Beyond 2 megabars and the ruby fluorescence scale, Science, 226, , Decker, D. L., Equation of state of NaCl and its use as a pressure gauge in high-pressure research, J. Appl. Phys., 36, , Decker, D. L., High-pressure equation of state for NaCl, KCl, and CsCl, J. Appl. Phys., 42, , Decker, D. L., and J. D. Barnett, Proposed thermodynamic pressure scale for an absolute high-pressure calibration, J. Appl. Phys., 41, , Hazen, R. M., and L. W. Finger, Calcium fluoride as an internal pressure standard in highpressure/high-tempera ture crys tallography, J. Appl. Cryst., 14, , Heinz, D. L., and R. Jeanloz, The equation of state of the gold calibration standard, J. Appl. Phys., 55, , Jamieson, J. C., H. N. Fritz, and M. H. Manghnani, Pressure measurement at high temperature in x-ray diffraction studies: Gold as a primary standard, in High-Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp , Center for Academic Publications Japan, Dordrecht, Tokyo and Reidel, Manghnani, M. H., L. C. Ming, J. Balogh, E. F. Skelton, S. B. Qadri, and D. Schiferl, Use of internal pressure calibrants in situ in x-ray diffraction measurements at high pressure and temperature: Review and recent results, High Temp.-High Press., 16, , Mao, H. K., P. M. Bell, J. W. Shaner, and D. J. Steinberg, Specific volume measurements of Cu, Mo, Pd, and Ag and calibration of the ruby R l fluorescence pressure gauge from 0.06 to 1 Mbar, J. Appl. Phys., 49, , Mao, H. K., J. Xu, and P. M. Bell, Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions, J. Geophys. Res., 91, , Piermarini, G. J., and S. Block, Ultrahigh pressure diamond-anvil cell and several semiconductor phase transition pressures in relation to the fixed point pressure scale, Rev. Sci. Instrum., 46, , Piermarini, G. J., S. Block, J. D. Barnett, and R. A. Forman, Calibration of the pressure dependence of the R l ruby fluorescence line to 195 kbar, J. Appl. Phys., 46, , Sato-Sorensen, Y., Measurements of the lifetime of the ruby R l line and its application to high-temperature and high-pressure calibration in the diamond-anvil cell, in High-Pressure Research in Mineral Physics, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Schiferl, D., J. N. Fritz, A. K. Katz, M. Schaefer, E. F. Skelton, S. B. Qadri, L. C. Ming, and M. H. Manghnani, 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, in High-Pressure Research in Mineral Physics, Geophysical Monograph 39 and Mineral Physics 2, edited by M. H. Manghnani and Y. Syono, pp , Terra Scientific, Tokyo, and AGU, Washington, D.C., Yagi, T., and S. Akimoto, Pressure calibration above 100 kbar based on the NaCl internal standard, in High-Pressure Research, Applications in Geophysics, edited by M. H. Manghnani and S. Akimoto, pp , Academic, New York, Theoretical Calculation of Elastic Constants Achar, B. N. N., and G. R. Barsch, Shell model calculation of thermal expansion of alkali halides and magnesium oxide, Phys. Stat. Sol., 6, , Aidun, J., and M. S. T. Bukowinski, Equation of state and metalization of CsI, Phys. Rev. B: Solid State, 29, , Anderson, O. L., Elastic constants of the central force model for three cubic structures: Pressure derivatives and equations of state, J. Geophys. Res., 75, , Anderson, O. L., and H. H. Demerest, Jr., Elastic constants of the central force model f or cubic structures: Polycrystalline Elastic Properties and Equations of State 547

6 aggregates and instabilities, J. Geophys. Res., 76, , Anderson, 0. L., and R. C. Liebermann, Equations for the elastic constants and their pressure derivatives for three cubic lattices and some geophysical applications, Phys. Earth Planet. Inter., 3, 61-85, Boyer, L. L., Calculation of thermal expansion, compressibility, and melting in alkali halides: NaCl and KC1, Phys. Rev. Lett., 42, , Boyer, L. L., First-principles equation-of-state calculations for alkali halides, Phys. Rev. B: Solid State, 23, , Boyer, L. L., Parameter-free equation-of-state calculations for CsCaF3, J. Phys. C: Solid State Phys., 17, , Bukowinski, M. S. T., First principles equations of state of MgO and CaO, Geophys. Res. Lett., 12, , Bukowinski, M. S. T., and G. H. Wolf, Equation of state and stability of fluorite-structured Si0 2, J. Geophys. Res., 91, , Catti, M., Electrostatic lattice energy in ionic crystals: Optimization of the convergence of Ewald series, Acta Cryst., 34, , Chang, K. J., and M. L. 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